%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV087-1 : TPTP v9.0.0. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jun 21 05:10:44 AM UTC 2025
% Result : Unsatisfiable 3.95s 4.14s
% Output : Proof 4.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : HWV087-1 : TPTP v9.0.0. Released v6.1.0.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.35 % Computer : n013.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % WCLimit : 300
% 0.12/0.35 % DateTime : Thu Jun 19 17:38:53 EDT 2025
% 0.12/0.35 % CPUTime :
% 3.95/4.14 % SZS status Unsatisfiable
% 3.95/4.14 % SZS output start Proof
% 3.95/4.14 tff(v911_type, type, (
% 3.95/4.14 v911: $i > $o)).
% 3.95/4.14 tff(constB16_type, type, (
% 3.95/4.14 constB16: $i)).
% 3.95/4.14 tff(sK293_VarCurr_type, type, (
% 3.95/4.14 sK293_VarCurr: $i)).
% 3.95/4.14 tff(constB19_type, type, (
% 3.95/4.14 constB19: $i)).
% 3.95/4.14 tff(constB14_type, type, (
% 3.95/4.14 constB14: $i)).
% 3.95/4.14 tff(v6_type, type, (
% 3.95/4.14 v6: ( $i * $i ) > $o)).
% 3.95/4.14 tff(bitIndex1_type, type, (
% 3.95/4.14 bitIndex1: $i)).
% 3.95/4.14 tff(constB10_type, type, (
% 3.95/4.14 constB10: $i)).
% 3.95/4.14 tff(bitIndex0_type, type, (
% 3.95/4.14 bitIndex0: $i)).
% 3.95/4.14 tff(constB9_type, type, (
% 3.95/4.14 constB9: $i)).
% 3.95/4.14 tff(v809_type, type, (
% 3.95/4.14 v809: $i > $o)).
% 3.95/4.14 tff(v918_type, type, (
% 3.95/4.14 v918: $i > $o)).
% 3.95/4.14 tff(constB12_type, type, (
% 3.95/4.14 constB12: $i)).
% 3.95/4.14 tff(constB11_type, type, (
% 3.95/4.14 constB11: $i)).
% 3.95/4.14 tff(v949_type, type, (
% 3.95/4.14 v949: $i > $o)).
% 3.95/4.14 tff(v947_type, type, (
% 3.95/4.14 v947: $i > $o)).
% 3.95/4.14 tff(v933_type, type, (
% 3.95/4.14 v933: $i > $o)).
% 3.95/4.14 tff(v935_type, type, (
% 3.95/4.14 v935: $i > $o)).
% 3.95/4.14 tff(v941_type, type, (
% 3.95/4.14 v941: $i > $o)).
% 3.95/4.14 tff(v942_type, type, (
% 3.95/4.14 v942: $i > $o)).
% 3.95/4.14 tff(v944_type, type, (
% 3.95/4.14 v944: $i > $o)).
% 3.95/4.14 tff(v929_type, type, (
% 3.95/4.14 v929: $i > $o)).
% 3.95/4.14 tff(v1_type, type, (
% 3.95/4.14 v1: $i > $o)).
% 3.95/4.14 tff(constB8_type, type, (
% 3.95/4.14 constB8: $i)).
% 3.95/4.14 tff(constB7_type, type, (
% 3.95/4.14 constB7: $i)).
% 3.95/4.14 tff(constB6_type, type, (
% 3.95/4.14 constB6: $i)).
% 3.95/4.14 tff(constB5_type, type, (
% 3.95/4.14 constB5: $i)).
% 3.95/4.14 tff(constB4_type, type, (
% 3.95/4.14 constB4: $i)).
% 3.95/4.14 tff(constB3_type, type, (
% 3.95/4.14 constB3: $i)).
% 3.95/4.14 tff(constB2_type, type, (
% 3.95/4.14 constB2: $i)).
% 3.95/4.14 tff(constB1_type, type, (
% 3.95/4.14 constB1: $i)).
% 3.95/4.14 tff(nextState_type, type, (
% 3.95/4.14 nextState: ( $i * $i ) > $o)).
% 3.95/4.14 tff(constB0_type, type, (
% 3.95/4.14 constB0: $i)).
% 3.95/4.14 tff(v925_type, type, (
% 3.95/4.14 v925: $i > $o)).
% 3.95/4.14 tff(v926_type, type, (
% 3.95/4.14 v926: $i > $o)).
% 3.95/4.14 tff(v927_type, type, (
% 3.95/4.14 v927: $i > $o)).
% 3.95/4.14 tff(v19_type, type, (
% 3.95/4.14 v19: ( $i * $i ) > $o)).
% 3.95/4.14 tff(v16_type, type, (
% 3.95/4.14 v16: $i > $o)).
% 3.95/4.14 tff(v25_type, type, (
% 3.95/4.14 v25: ( $i * $i ) > $o)).
% 3.95/4.14 tff(bitIndex2_type, type, (
% 3.95/4.14 bitIndex2: $i)).
% 3.95/4.14 tff(bitIndex4_type, type, (
% 3.95/4.14 bitIndex4: $i)).
% 3.95/4.14 tff(bitIndex3_type, type, (
% 3.95/4.14 bitIndex3: $i)).
% 3.95/4.14 tff(v702_type, type, (
% 3.95/4.14 v702: $i > $o)).
% 3.95/4.14 tff(v64_type, type, (
% 3.95/4.14 v64: ( $i * $i ) > $o)).
% 3.95/4.14 tff(v793_type, type, (
% 3.95/4.14 v793: $i > $o)).
% 3.95/4.14 tff(v794_type, type, (
% 3.95/4.14 v794: $i > $o)).
% 3.95/4.14 tff(v894_type, type, (
% 3.95/4.14 v894: $i > $o)).
% 3.95/4.14 tff(v895_type, type, (
% 3.95/4.14 v895: $i > $o)).
% 3.95/4.14 tff(constB13_type, type, (
% 3.95/4.14 constB13: $i)).
% 3.95/4.14 tff(constB18_type, type, (
% 3.95/4.14 constB18: $i)).
% 3.95/4.14 tff(constB17_type, type, (
% 3.95/4.14 constB17: $i)).
% 3.95/4.14 tff(constB15_type, type, (
% 3.95/4.14 constB15: $i)).
% 3.95/4.14 tff(constB20_type, type, (
% 3.95/4.14 constB20: $i)).
% 3.95/4.14 tff(v814_type, type, (
% 3.95/4.14 v814: $i > $o)).
% 3.95/4.14 tff(v904_type, type, (
% 3.95/4.14 v904: ( $i * $i ) > $o)).
% 3.95/4.14 tff(v902_type, type, (
% 3.95/4.14 v902: ( $i * $i ) > $o)).
% 3.95/4.14 tff(v896_type, type, (
% 3.95/4.14 v896: $i > $o)).
% 3.95/4.14 tff(v898_type, type, (
% 3.95/4.14 v898: $i > $o)).
% 3.95/4.14 tff(reachableState_type, type, (
% 3.95/4.14 reachableState: $i > $o)).
% 3.95/4.14 tff(1,assumption,(constB14 = sK293_VarCurr), introduced(assumption)).
% 3.95/4.14 tff(2,plain,
% 3.95/4.14 (v6(constB14, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 3.95/4.14 inference(monotonicity,[status(thm)],[1])).
% 3.95/4.14 tff(3,plain,
% 3.95/4.14 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB14, bitIndex1)),
% 3.95/4.14 inference(symmetry,[status(thm)],[2])).
% 3.95/4.14 tff(4,assumption,(~v6(sK293_VarCurr, bitIndex1)), introduced(assumption)).
% 3.95/4.14 tff(5,plain,
% 3.95/4.14 (((~v809(sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex1)) <=> ((~v809(sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex1))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(6,axiom,((~v809(sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9838')).
% 3.95/4.14 tff(7,plain,
% 3.95/4.14 ((~v809(sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex1)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[6, 5])).
% 3.95/4.14 tff(8,plain,
% 3.95/4.14 (~v809(sK293_VarCurr)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[7, 4])).
% 3.95/4.14 tff(9,plain,
% 3.95/4.14 (^[VarCurr: $i] : refl((v809(VarCurr) | (~v6(VarCurr, bitIndex0))) <=> (v809(VarCurr) | (~v6(VarCurr, bitIndex0))))),
% 3.95/4.14 inference(bind,[status(th)],[])).
% 3.95/4.14 tff(10,plain,
% 3.95/4.14 (![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))),
% 3.95/4.14 inference(quant_intro,[status(thm)],[9])).
% 3.95/4.14 tff(11,plain,
% 3.95/4.14 (![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(12,axiom,(![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10543')).
% 3.95/4.14 tff(13,plain,
% 3.95/4.14 (![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[12, 11])).
% 3.95/4.14 tff(14,plain,(
% 3.95/4.14 ![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))),
% 3.95/4.14 inference(skolemize,[status(sab)],[13])).
% 3.95/4.14 tff(15,plain,
% 3.95/4.14 (![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[14, 10])).
% 3.95/4.14 tff(16,plain,
% 3.95/4.14 (((~![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))) | (v809(sK293_VarCurr) | (~v6(sK293_VarCurr, bitIndex0)))) <=> ((~![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))) | v809(sK293_VarCurr) | (~v6(sK293_VarCurr, bitIndex0)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(17,plain,
% 3.95/4.14 ((~![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))) | (v809(sK293_VarCurr) | (~v6(sK293_VarCurr, bitIndex0)))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(18,plain,
% 3.95/4.14 ((~![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex0)))) | v809(sK293_VarCurr) | (~v6(sK293_VarCurr, bitIndex0))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[17, 16])).
% 3.95/4.14 tff(19,plain,
% 3.95/4.14 (~v6(sK293_VarCurr, bitIndex0)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[18, 15, 8])).
% 3.95/4.14 tff(20,assumption,(constB11 = sK293_VarCurr), introduced(assumption)).
% 3.95/4.14 tff(21,plain,
% 3.95/4.14 (v6(constB11, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 3.95/4.14 inference(monotonicity,[status(thm)],[20])).
% 3.95/4.14 tff(22,plain,
% 3.95/4.14 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB11, bitIndex1)),
% 3.95/4.14 inference(symmetry,[status(thm)],[21])).
% 3.95/4.14 tff(23,plain,
% 3.95/4.14 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB11, bitIndex1))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[22])).
% 3.95/4.14 tff(24,plain,
% 3.95/4.14 (~v6(constB11, bitIndex1)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[4, 23])).
% 3.95/4.14 tff(25,assumption,(v6(constB11, bitIndex1)), introduced(assumption)).
% 3.95/4.14 tff(26,plain,
% 3.95/4.14 ($false),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[25, 24])).
% 3.95/4.14 tff(27,plain,((~(constB11 = sK293_VarCurr)) | (~v6(constB11, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 3.95/4.14 tff(28,plain,
% 3.95/4.14 (~v6(constB11, bitIndex1)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[27, 20, 4])).
% 3.95/4.14 tff(29,plain,
% 3.95/4.14 (nextState(constB0, constB1) <=> nextState(constB0, constB1)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(30,axiom,(nextState(constB0, constB1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9804')).
% 3.95/4.14 tff(31,plain,
% 3.95/4.14 (nextState(constB0, constB1)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[30, 29])).
% 3.95/4.14 tff(32,plain,
% 3.95/4.14 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext)))),
% 3.95/4.14 inference(bind,[status(th)],[])).
% 3.95/4.14 tff(33,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))),
% 3.95/4.14 inference(quant_intro,[status(thm)],[32])).
% 3.95/4.14 tff(34,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(35,plain,
% 3.95/4.14 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | v1(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext)))),
% 3.95/4.14 inference(bind,[status(th)],[])).
% 3.95/4.14 tff(36,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | v1(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))),
% 3.95/4.14 inference(quant_intro,[status(thm)],[35])).
% 3.95/4.14 tff(37,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | v1(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9835')).
% 3.95/4.14 tff(38,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[37, 36])).
% 3.95/4.14 tff(39,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[38, 34])).
% 3.95/4.14 tff(40,plain,(
% 3.95/4.14 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))),
% 3.95/4.14 inference(skolemize,[status(sab)],[39])).
% 3.95/4.14 tff(41,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[40, 33])).
% 3.95/4.14 tff(42,plain,
% 3.95/4.14 ((~v1(constB0)) <=> (~v1(constB0))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(43,axiom,(~v1(constB0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9836')).
% 3.95/4.14 tff(44,plain,
% 3.95/4.14 (~v1(constB0)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[43, 42])).
% 3.95/4.14 tff(45,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB0) | (~nextState(constB0, constB1)) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB0) | (~nextState(constB0, constB1)) | v1(constB1))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(46,plain,
% 3.95/4.14 (((~nextState(constB0, constB1)) | v1(constB0) | v1(constB1)) <=> (v1(constB0) | (~nextState(constB0, constB1)) | v1(constB1))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(47,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB0, constB1)) | v1(constB0) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB0) | (~nextState(constB0, constB1)) | v1(constB1)))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[46])).
% 3.95/4.14 tff(48,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB0, constB1)) | v1(constB0) | v1(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB0) | (~nextState(constB0, constB1)) | v1(constB1))),
% 3.95/4.14 inference(transitivity,[status(thm)],[47, 45])).
% 3.95/4.14 tff(49,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB0, constB1)) | v1(constB0) | v1(constB1))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(50,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB0) | (~nextState(constB0, constB1)) | v1(constB1)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[49, 48])).
% 3.95/4.14 tff(51,plain,
% 3.95/4.14 (v1(constB1)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[50, 44, 41, 31])).
% 3.95/4.14 tff(52,plain,
% 3.95/4.14 (nextState(constB1, constB2) <=> nextState(constB1, constB2)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(53,axiom,(nextState(constB1, constB2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9803')).
% 3.95/4.14 tff(54,plain,
% 3.95/4.14 (nextState(constB1, constB2)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[53, 52])).
% 3.95/4.14 tff(55,plain,
% 3.95/4.14 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext))))),
% 3.95/4.14 inference(bind,[status(th)],[])).
% 3.95/4.14 tff(56,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))),
% 3.95/4.14 inference(quant_intro,[status(thm)],[55])).
% 3.95/4.14 tff(57,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(58,plain,
% 3.95/4.14 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((~v1(VarNext)) | (~v1(VarCurr))) <=> ((~v1(VarCurr)) | (~v1(VarNext)))), ((((~v1(VarNext)) | (~v1(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> (((~v1(VarCurr)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite((((~v1(VarCurr)) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))), ((((~v1(VarNext)) | (~v1(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))))),
% 3.95/4.14 inference(bind,[status(th)],[])).
% 3.95/4.14 tff(59,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : (((~v1(VarNext)) | (~v1(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))),
% 3.95/4.14 inference(quant_intro,[status(thm)],[58])).
% 3.95/4.14 tff(60,axiom,(![VarNext: $i, VarCurr: $i] : (((~v1(VarNext)) | (~v1(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9834')).
% 3.95/4.14 tff(61,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[60, 59])).
% 3.95/4.14 tff(62,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[61, 57])).
% 3.95/4.14 tff(63,plain,(
% 3.95/4.14 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))),
% 3.95/4.14 inference(skolemize,[status(sab)],[62])).
% 3.95/4.14 tff(64,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[63, 56])).
% 3.95/4.14 tff(65,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB1)) | (~nextState(constB1, constB2)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB1)) | (~nextState(constB1, constB2)) | (~v1(constB2)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(66,plain,
% 3.95/4.14 (((~nextState(constB1, constB2)) | (~v1(constB1)) | (~v1(constB2))) <=> ((~v1(constB1)) | (~nextState(constB1, constB2)) | (~v1(constB2)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(67,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB1)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB1)) | (~nextState(constB1, constB2)) | (~v1(constB2))))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[66])).
% 3.95/4.14 tff(68,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB1)) | (~v1(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB1)) | (~nextState(constB1, constB2)) | (~v1(constB2)))),
% 3.95/4.14 inference(transitivity,[status(thm)],[67, 65])).
% 3.95/4.14 tff(69,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB1, constB2)) | (~v1(constB1)) | (~v1(constB2)))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(70,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB1)) | (~nextState(constB1, constB2)) | (~v1(constB2))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[69, 68])).
% 3.95/4.14 tff(71,plain,
% 3.95/4.14 (~v1(constB2)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[70, 64, 54, 51])).
% 3.95/4.14 tff(72,plain,
% 3.95/4.14 (nextState(constB2, constB3) <=> nextState(constB2, constB3)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(73,axiom,(nextState(constB2, constB3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9802')).
% 3.95/4.14 tff(74,plain,
% 3.95/4.14 (nextState(constB2, constB3)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[73, 72])).
% 3.95/4.14 tff(75,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB2) | (~nextState(constB2, constB3)) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB2) | (~nextState(constB2, constB3)) | v1(constB3))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(76,plain,
% 3.95/4.14 (((~nextState(constB2, constB3)) | v1(constB2) | v1(constB3)) <=> (v1(constB2) | (~nextState(constB2, constB3)) | v1(constB3))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(77,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB2, constB3)) | v1(constB2) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB2) | (~nextState(constB2, constB3)) | v1(constB3)))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[76])).
% 3.95/4.14 tff(78,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB2, constB3)) | v1(constB2) | v1(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB2) | (~nextState(constB2, constB3)) | v1(constB3))),
% 3.95/4.14 inference(transitivity,[status(thm)],[77, 75])).
% 3.95/4.14 tff(79,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB2, constB3)) | v1(constB2) | v1(constB3))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(80,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB2) | (~nextState(constB2, constB3)) | v1(constB3)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[79, 78])).
% 3.95/4.14 tff(81,plain,
% 3.95/4.14 (v1(constB3)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[80, 41, 74, 71])).
% 3.95/4.14 tff(82,plain,
% 3.95/4.14 (nextState(constB3, constB4) <=> nextState(constB3, constB4)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(83,axiom,(nextState(constB3, constB4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9801')).
% 3.95/4.14 tff(84,plain,
% 3.95/4.14 (nextState(constB3, constB4)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[83, 82])).
% 3.95/4.14 tff(85,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB3)) | (~nextState(constB3, constB4)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB3)) | (~nextState(constB3, constB4)) | (~v1(constB4)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(86,plain,
% 3.95/4.14 (((~nextState(constB3, constB4)) | (~v1(constB3)) | (~v1(constB4))) <=> ((~v1(constB3)) | (~nextState(constB3, constB4)) | (~v1(constB4)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(87,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB3)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB3)) | (~nextState(constB3, constB4)) | (~v1(constB4))))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[86])).
% 3.95/4.14 tff(88,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB3)) | (~v1(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB3)) | (~nextState(constB3, constB4)) | (~v1(constB4)))),
% 3.95/4.14 inference(transitivity,[status(thm)],[87, 85])).
% 3.95/4.14 tff(89,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB3, constB4)) | (~v1(constB3)) | (~v1(constB4)))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(90,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB3)) | (~nextState(constB3, constB4)) | (~v1(constB4))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[89, 88])).
% 3.95/4.14 tff(91,plain,
% 3.95/4.14 (~v1(constB4)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[90, 64, 84, 81])).
% 3.95/4.14 tff(92,plain,
% 3.95/4.14 (nextState(constB4, constB5) <=> nextState(constB4, constB5)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(93,axiom,(nextState(constB4, constB5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9800')).
% 3.95/4.14 tff(94,plain,
% 3.95/4.14 (nextState(constB4, constB5)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[93, 92])).
% 3.95/4.14 tff(95,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB4) | (~nextState(constB4, constB5)) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB4) | (~nextState(constB4, constB5)) | v1(constB5))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(96,plain,
% 3.95/4.14 (((~nextState(constB4, constB5)) | v1(constB4) | v1(constB5)) <=> (v1(constB4) | (~nextState(constB4, constB5)) | v1(constB5))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(97,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB4, constB5)) | v1(constB4) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB4) | (~nextState(constB4, constB5)) | v1(constB5)))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[96])).
% 3.95/4.14 tff(98,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB4, constB5)) | v1(constB4) | v1(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB4) | (~nextState(constB4, constB5)) | v1(constB5))),
% 3.95/4.14 inference(transitivity,[status(thm)],[97, 95])).
% 3.95/4.14 tff(99,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB4, constB5)) | v1(constB4) | v1(constB5))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(100,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB4) | (~nextState(constB4, constB5)) | v1(constB5)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[99, 98])).
% 3.95/4.14 tff(101,plain,
% 3.95/4.14 (v1(constB5)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[100, 41, 94, 91])).
% 3.95/4.14 tff(102,plain,
% 3.95/4.14 (nextState(constB5, constB6) <=> nextState(constB5, constB6)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(103,axiom,(nextState(constB5, constB6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9799')).
% 3.95/4.14 tff(104,plain,
% 3.95/4.14 (nextState(constB5, constB6)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[103, 102])).
% 3.95/4.14 tff(105,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB5)) | (~nextState(constB5, constB6)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB5)) | (~nextState(constB5, constB6)) | (~v1(constB6)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(106,plain,
% 3.95/4.14 (((~nextState(constB5, constB6)) | (~v1(constB5)) | (~v1(constB6))) <=> ((~v1(constB5)) | (~nextState(constB5, constB6)) | (~v1(constB6)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(107,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB5)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB5)) | (~nextState(constB5, constB6)) | (~v1(constB6))))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[106])).
% 3.95/4.14 tff(108,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB5)) | (~v1(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB5)) | (~nextState(constB5, constB6)) | (~v1(constB6)))),
% 3.95/4.14 inference(transitivity,[status(thm)],[107, 105])).
% 3.95/4.14 tff(109,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB5, constB6)) | (~v1(constB5)) | (~v1(constB6)))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(110,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB5)) | (~nextState(constB5, constB6)) | (~v1(constB6))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[109, 108])).
% 3.95/4.14 tff(111,plain,
% 3.95/4.14 (~v1(constB6)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[110, 64, 104, 101])).
% 3.95/4.14 tff(112,plain,
% 3.95/4.14 (nextState(constB6, constB7) <=> nextState(constB6, constB7)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(113,axiom,(nextState(constB6, constB7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9798')).
% 3.95/4.14 tff(114,plain,
% 3.95/4.14 (nextState(constB6, constB7)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[113, 112])).
% 3.95/4.14 tff(115,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB6) | (~nextState(constB6, constB7)) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB6) | (~nextState(constB6, constB7)) | v1(constB7))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(116,plain,
% 3.95/4.14 (((~nextState(constB6, constB7)) | v1(constB6) | v1(constB7)) <=> (v1(constB6) | (~nextState(constB6, constB7)) | v1(constB7))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(117,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB6, constB7)) | v1(constB6) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB6) | (~nextState(constB6, constB7)) | v1(constB7)))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[116])).
% 3.95/4.14 tff(118,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB6, constB7)) | v1(constB6) | v1(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB6) | (~nextState(constB6, constB7)) | v1(constB7))),
% 3.95/4.14 inference(transitivity,[status(thm)],[117, 115])).
% 3.95/4.14 tff(119,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB6, constB7)) | v1(constB6) | v1(constB7))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(120,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB6) | (~nextState(constB6, constB7)) | v1(constB7)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[119, 118])).
% 3.95/4.14 tff(121,plain,
% 3.95/4.14 (v1(constB7)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[120, 41, 114, 111])).
% 3.95/4.14 tff(122,plain,
% 3.95/4.14 (nextState(constB7, constB8) <=> nextState(constB7, constB8)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(123,axiom,(nextState(constB7, constB8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9797')).
% 3.95/4.14 tff(124,plain,
% 3.95/4.14 (nextState(constB7, constB8)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[123, 122])).
% 3.95/4.14 tff(125,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB7)) | (~nextState(constB7, constB8)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB7)) | (~nextState(constB7, constB8)) | (~v1(constB8)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(126,plain,
% 3.95/4.14 (((~nextState(constB7, constB8)) | (~v1(constB7)) | (~v1(constB8))) <=> ((~v1(constB7)) | (~nextState(constB7, constB8)) | (~v1(constB8)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(127,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB7)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB7)) | (~nextState(constB7, constB8)) | (~v1(constB8))))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[126])).
% 3.95/4.14 tff(128,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB7)) | (~v1(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB7)) | (~nextState(constB7, constB8)) | (~v1(constB8)))),
% 3.95/4.14 inference(transitivity,[status(thm)],[127, 125])).
% 3.95/4.14 tff(129,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB7, constB8)) | (~v1(constB7)) | (~v1(constB8)))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(130,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB7)) | (~nextState(constB7, constB8)) | (~v1(constB8))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[129, 128])).
% 3.95/4.14 tff(131,plain,
% 3.95/4.14 (~v1(constB8)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[130, 64, 124, 121])).
% 3.95/4.14 tff(132,plain,
% 3.95/4.14 (nextState(constB8, constB9) <=> nextState(constB8, constB9)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(133,axiom,(nextState(constB8, constB9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9796')).
% 3.95/4.14 tff(134,plain,
% 3.95/4.14 (nextState(constB8, constB9)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[133, 132])).
% 3.95/4.14 tff(135,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB8) | (~nextState(constB8, constB9)) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB8) | (~nextState(constB8, constB9)) | v1(constB9))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(136,plain,
% 3.95/4.14 (((~nextState(constB8, constB9)) | v1(constB8) | v1(constB9)) <=> (v1(constB8) | (~nextState(constB8, constB9)) | v1(constB9))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(137,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB8, constB9)) | v1(constB8) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB8) | (~nextState(constB8, constB9)) | v1(constB9)))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[136])).
% 3.95/4.14 tff(138,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB8, constB9)) | v1(constB8) | v1(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB8) | (~nextState(constB8, constB9)) | v1(constB9))),
% 3.95/4.14 inference(transitivity,[status(thm)],[137, 135])).
% 3.95/4.14 tff(139,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB8, constB9)) | v1(constB8) | v1(constB9))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(140,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB8) | (~nextState(constB8, constB9)) | v1(constB9)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[139, 138])).
% 3.95/4.14 tff(141,plain,
% 3.95/4.14 (v1(constB9)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[140, 41, 134, 131])).
% 3.95/4.14 tff(142,plain,
% 3.95/4.14 (nextState(constB9, constB10) <=> nextState(constB9, constB10)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(143,axiom,(nextState(constB9, constB10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9795')).
% 3.95/4.14 tff(144,plain,
% 3.95/4.14 (nextState(constB9, constB10)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[143, 142])).
% 3.95/4.14 tff(145,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB9)) | (~nextState(constB9, constB10)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB9)) | (~nextState(constB9, constB10)) | (~v1(constB10)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(146,plain,
% 3.95/4.14 (((~nextState(constB9, constB10)) | (~v1(constB9)) | (~v1(constB10))) <=> ((~v1(constB9)) | (~nextState(constB9, constB10)) | (~v1(constB10)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(147,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB9)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB9)) | (~nextState(constB9, constB10)) | (~v1(constB10))))),
% 3.95/4.14 inference(monotonicity,[status(thm)],[146])).
% 3.95/4.14 tff(148,plain,
% 3.95/4.14 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB9)) | (~v1(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB9)) | (~nextState(constB9, constB10)) | (~v1(constB10)))),
% 3.95/4.14 inference(transitivity,[status(thm)],[147, 145])).
% 3.95/4.14 tff(149,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB9, constB10)) | (~v1(constB9)) | (~v1(constB10)))),
% 3.95/4.14 inference(quant_inst,[status(thm)],[])).
% 3.95/4.14 tff(150,plain,
% 3.95/4.14 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB9)) | (~nextState(constB9, constB10)) | (~v1(constB10))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[149, 148])).
% 3.95/4.14 tff(151,plain,
% 3.95/4.14 (~v1(constB10)),
% 3.95/4.14 inference(unit_resolution,[status(thm)],[150, 64, 144, 141])).
% 3.95/4.14 tff(152,plain,
% 3.95/4.14 (nextState(constB10, constB11) <=> nextState(constB10, constB11)),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(153,axiom,(nextState(constB10, constB11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9794')).
% 3.95/4.14 tff(154,plain,
% 3.95/4.14 (nextState(constB10, constB11)),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[153, 152])).
% 3.95/4.14 tff(155,plain,
% 3.95/4.14 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext))))),
% 3.95/4.14 inference(bind,[status(th)],[])).
% 3.95/4.14 tff(156,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))),
% 3.95/4.14 inference(quant_intro,[status(thm)],[155])).
% 3.95/4.14 tff(157,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))),
% 3.95/4.14 inference(rewrite,[status(thm)],[])).
% 3.95/4.14 tff(158,plain,
% 3.95/4.14 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v929(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext))))),
% 3.95/4.14 inference(bind,[status(th)],[])).
% 3.95/4.14 tff(159,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v929(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))),
% 3.95/4.14 inference(quant_intro,[status(thm)],[158])).
% 3.95/4.14 tff(160,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v929(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9908')).
% 3.95/4.14 tff(161,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[160, 159])).
% 3.95/4.14 tff(162,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))),
% 3.95/4.14 inference(modus_ponens,[status(thm)],[161, 157])).
% 3.95/4.14 tff(163,plain,(
% 3.95/4.14 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))),
% 3.95/4.14 inference(skolemize,[status(sab)],[162])).
% 3.95/4.14 tff(164,plain,
% 3.95/4.14 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[163, 156])).
% 3.95/4.15 tff(165,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB10) | (~nextState(constB10, constB11)) | (~v929(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB10) | (~nextState(constB10, constB11)) | (~v929(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(166,plain,
% 3.95/4.15 (((~nextState(constB10, constB11)) | v1(constB10) | (~v929(constB11))) <=> (v1(constB10) | (~nextState(constB10, constB11)) | (~v929(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(167,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB10, constB11)) | v1(constB10) | (~v929(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB10) | (~nextState(constB10, constB11)) | (~v929(constB11))))),
% 3.95/4.15 inference(monotonicity,[status(thm)],[166])).
% 3.95/4.15 tff(168,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB10, constB11)) | v1(constB10) | (~v929(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB10) | (~nextState(constB10, constB11)) | (~v929(constB11)))),
% 3.95/4.15 inference(transitivity,[status(thm)],[167, 165])).
% 3.95/4.15 tff(169,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB10, constB11)) | v1(constB10) | (~v929(constB11)))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(170,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB10) | (~nextState(constB10, constB11)) | (~v929(constB11))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[169, 168])).
% 3.95/4.15 tff(171,plain,
% 3.95/4.15 (~v929(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[170, 164, 154, 151])).
% 3.95/4.15 tff(172,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext)))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(173,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[172])).
% 3.95/4.15 tff(174,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(175,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : rewrite(((v929(VarNext) | v944(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext)))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(176,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((v929(VarNext) | v944(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[175])).
% 3.95/4.15 tff(177,axiom,(![VarNext: $i, VarCurr: $i] : ((v929(VarNext) | v944(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9871')).
% 3.95/4.15 tff(178,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[177, 176])).
% 3.95/4.15 tff(179,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[178, 174])).
% 3.95/4.15 tff(180,plain,(
% 3.95/4.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))),
% 3.95/4.15 inference(skolemize,[status(sab)],[179])).
% 3.95/4.15 tff(181,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[180, 173])).
% 3.95/4.15 tff(182,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB10, constB11)) | v944(constB11) | v929(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB10, constB11)) | v944(constB11) | v929(constB11))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(183,plain,
% 3.95/4.15 (((~nextState(constB10, constB11)) | v929(constB11) | v944(constB11)) <=> ((~nextState(constB10, constB11)) | v944(constB11) | v929(constB11))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(184,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB10, constB11)) | v929(constB11) | v944(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB10, constB11)) | v944(constB11) | v929(constB11)))),
% 3.95/4.15 inference(monotonicity,[status(thm)],[183])).
% 3.95/4.15 tff(185,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB10, constB11)) | v929(constB11) | v944(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB10, constB11)) | v944(constB11) | v929(constB11))),
% 3.95/4.15 inference(transitivity,[status(thm)],[184, 182])).
% 3.95/4.15 tff(186,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB10, constB11)) | v929(constB11) | v944(constB11))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(187,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB10, constB11)) | v944(constB11) | v929(constB11)),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[186, 185])).
% 3.95/4.15 tff(188,plain,
% 3.95/4.15 (v944(constB11) | v929(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[187, 181, 154])).
% 3.95/4.15 tff(189,plain,
% 3.95/4.15 (v944(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[188, 171])).
% 3.95/4.15 tff(190,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB10) | (~nextState(constB10, constB11)) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB10) | (~nextState(constB10, constB11)) | v1(constB11))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(191,plain,
% 3.95/4.15 (((~nextState(constB10, constB11)) | v1(constB10) | v1(constB11)) <=> (v1(constB10) | (~nextState(constB10, constB11)) | v1(constB11))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(192,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB10, constB11)) | v1(constB10) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB10) | (~nextState(constB10, constB11)) | v1(constB11)))),
% 3.95/4.15 inference(monotonicity,[status(thm)],[191])).
% 3.95/4.15 tff(193,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB10, constB11)) | v1(constB10) | v1(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB10) | (~nextState(constB10, constB11)) | v1(constB11))),
% 3.95/4.15 inference(transitivity,[status(thm)],[192, 190])).
% 3.95/4.15 tff(194,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB10, constB11)) | v1(constB10) | v1(constB11))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(195,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB10) | (~nextState(constB10, constB11)) | v1(constB11)),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[194, 193])).
% 3.95/4.15 tff(196,plain,
% 3.95/4.15 (v1(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[195, 41, 154, 151])).
% 3.95/4.15 tff(197,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(198,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[197])).
% 3.95/4.15 tff(199,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(200,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v942(VarNext) | (~v944(VarNext))) | (~v1(VarNext))) <=> ((~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))), ((((v942(VarNext) | (~v944(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v1(VarNext)) | v942(VarNext) | (~v944(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite((((~v1(VarNext)) | v942(VarNext) | (~v944(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))), ((((v942(VarNext) | (~v944(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(201,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : (((v942(VarNext) | (~v944(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[200])).
% 3.95/4.15 tff(202,axiom,(![VarNext: $i, VarCurr: $i] : (((v942(VarNext) | (~v944(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9868')).
% 3.95/4.15 tff(203,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[202, 201])).
% 3.95/4.15 tff(204,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[203, 199])).
% 3.95/4.15 tff(205,plain,(
% 3.95/4.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))),
% 3.95/4.15 inference(skolemize,[status(sab)],[204])).
% 3.95/4.15 tff(206,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[205, 198])).
% 3.95/4.15 tff(207,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB10, constB11)) | v942(constB11) | (~v1(constB11)) | (~v944(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB10, constB11)) | v942(constB11) | (~v1(constB11)) | (~v944(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(208,plain,
% 3.95/4.15 (((~nextState(constB10, constB11)) | (~v1(constB11)) | v942(constB11) | (~v944(constB11))) <=> ((~nextState(constB10, constB11)) | v942(constB11) | (~v1(constB11)) | (~v944(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(209,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB10, constB11)) | (~v1(constB11)) | v942(constB11) | (~v944(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB10, constB11)) | v942(constB11) | (~v1(constB11)) | (~v944(constB11))))),
% 3.95/4.15 inference(monotonicity,[status(thm)],[208])).
% 3.95/4.15 tff(210,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB10, constB11)) | (~v1(constB11)) | v942(constB11) | (~v944(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB10, constB11)) | v942(constB11) | (~v1(constB11)) | (~v944(constB11)))),
% 3.95/4.15 inference(transitivity,[status(thm)],[209, 207])).
% 3.95/4.15 tff(211,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB10, constB11)) | (~v1(constB11)) | v942(constB11) | (~v944(constB11)))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(212,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB10, constB11)) | v942(constB11) | (~v1(constB11)) | (~v944(constB11))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[211, 210])).
% 3.95/4.15 tff(213,plain,
% 3.95/4.15 (v942(constB11) | (~v944(constB11))),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[212, 206, 154, 196])).
% 3.95/4.15 tff(214,plain,
% 3.95/4.15 (v942(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[213, 189])).
% 3.95/4.15 tff(215,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(216,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[215])).
% 3.95/4.15 tff(217,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(218,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : rewrite(((v941(VarNext) | (~v942(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(219,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((v941(VarNext) | (~v942(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[218])).
% 3.95/4.15 tff(220,axiom,(![VarNext: $i, VarCurr: $i] : ((v941(VarNext) | (~v942(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9862')).
% 3.95/4.15 tff(221,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[220, 219])).
% 3.95/4.15 tff(222,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[221, 217])).
% 3.95/4.15 tff(223,plain,(
% 3.95/4.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))),
% 3.95/4.15 inference(skolemize,[status(sab)],[222])).
% 3.95/4.15 tff(224,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[223, 216])).
% 3.95/4.15 tff(225,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB10, constB11)) | v941(constB11) | (~v942(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB10, constB11)) | v941(constB11) | (~v942(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(226,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB10, constB11)) | v941(constB11) | (~v942(constB11)))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(227,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB10, constB11)) | v941(constB11) | (~v942(constB11))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[226, 225])).
% 3.95/4.15 tff(228,plain,
% 3.95/4.15 (v941(constB11) | (~v942(constB11))),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[227, 224, 154])).
% 3.95/4.15 tff(229,plain,
% 3.95/4.15 (v941(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[228, 214])).
% 3.95/4.15 tff(230,plain,
% 3.95/4.15 (^[VarNext: $i] : refl((v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext))) <=> (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(231,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext))) <=> ![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[230])).
% 3.95/4.15 tff(232,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext))) <=> ![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(233,plain,
% 3.95/4.15 (^[VarNext: $i] : trans(monotonicity(rewrite((v6(VarNext, bitIndex1) | (~v949(VarNext))) <=> (v6(VarNext, bitIndex1) | (~v949(VarNext)))), (((v6(VarNext, bitIndex1) | (~v949(VarNext))) | (~v941(VarNext))) <=> ((v6(VarNext, bitIndex1) | (~v949(VarNext))) | (~v941(VarNext))))), rewrite(((v6(VarNext, bitIndex1) | (~v949(VarNext))) | (~v941(VarNext))) <=> (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))), (((v6(VarNext, bitIndex1) | (~v949(VarNext))) | (~v941(VarNext))) <=> (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(234,plain,
% 3.95/4.15 (![VarNext: $i] : ((v6(VarNext, bitIndex1) | (~v949(VarNext))) | (~v941(VarNext))) <=> ![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[233])).
% 3.95/4.15 tff(235,axiom,(![VarNext: $i] : ((v6(VarNext, bitIndex1) | (~v949(VarNext))) | (~v941(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9848')).
% 3.95/4.15 tff(236,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[235, 234])).
% 3.95/4.15 tff(237,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[236, 232])).
% 3.95/4.15 tff(238,plain,(
% 3.95/4.15 ![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))),
% 3.95/4.15 inference(skolemize,[status(sab)],[237])).
% 3.95/4.15 tff(239,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[238, 231])).
% 3.95/4.15 tff(240,plain,
% 3.95/4.15 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB11, bitIndex1) | (~v949(constB11)) | (~v941(constB11)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB11, bitIndex1) | (~v949(constB11)) | (~v941(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(241,plain,
% 3.95/4.15 ((v6(constB11, bitIndex1) | (~v941(constB11)) | (~v949(constB11))) <=> (v6(constB11, bitIndex1) | (~v949(constB11)) | (~v941(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(242,plain,
% 3.95/4.15 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB11, bitIndex1) | (~v941(constB11)) | (~v949(constB11)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB11, bitIndex1) | (~v949(constB11)) | (~v941(constB11))))),
% 3.95/4.15 inference(monotonicity,[status(thm)],[241])).
% 3.95/4.15 tff(243,plain,
% 3.95/4.15 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB11, bitIndex1) | (~v941(constB11)) | (~v949(constB11)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB11, bitIndex1) | (~v949(constB11)) | (~v941(constB11)))),
% 3.95/4.15 inference(transitivity,[status(thm)],[242, 240])).
% 3.95/4.15 tff(244,plain,
% 3.95/4.15 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB11, bitIndex1) | (~v941(constB11)) | (~v949(constB11)))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(245,plain,
% 3.95/4.15 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB11, bitIndex1) | (~v949(constB11)) | (~v941(constB11))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[244, 243])).
% 3.95/4.15 tff(246,plain,
% 3.95/4.15 (v6(constB11, bitIndex1) | (~v949(constB11))),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[245, 239, 229])).
% 3.95/4.15 tff(247,plain,
% 3.95/4.15 (~v949(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[246, 28])).
% 3.95/4.15 tff(248,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext)))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(249,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[248])).
% 3.95/4.15 tff(250,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(251,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : rewrite(((v949(VarNext) | (~v947(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext)))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(252,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((v949(VarNext) | (~v947(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[251])).
% 3.95/4.15 tff(253,axiom,(![VarNext: $i, VarCurr: $i] : ((v949(VarNext) | (~v947(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9852')).
% 3.95/4.15 tff(254,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[253, 252])).
% 3.95/4.15 tff(255,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[254, 250])).
% 3.95/4.15 tff(256,plain,(
% 3.95/4.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))),
% 3.95/4.15 inference(skolemize,[status(sab)],[255])).
% 3.95/4.15 tff(257,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[256, 249])).
% 3.95/4.15 tff(258,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB10, constB11)) | (~v947(constB10)) | v949(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB10, constB11)) | (~v947(constB10)) | v949(constB11))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(259,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB10, constB11)) | (~v947(constB10)) | v949(constB11))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(260,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB10, constB11)) | (~v947(constB10)) | v949(constB11)),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[259, 258])).
% 3.95/4.15 tff(261,plain,
% 3.95/4.15 ((~v947(constB10)) | v949(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[260, 257, 154])).
% 3.95/4.15 tff(262,plain,
% 3.95/4.15 (~v947(constB10)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[261, 247])).
% 3.95/4.15 tff(263,plain,
% 3.95/4.15 (v6(constB11, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 3.95/4.15 inference(monotonicity,[status(thm)],[20])).
% 3.95/4.15 tff(264,plain,
% 3.95/4.15 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB11, bitIndex0)),
% 3.95/4.15 inference(symmetry,[status(thm)],[263])).
% 3.95/4.15 tff(265,plain,
% 3.95/4.15 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB11, bitIndex0))),
% 3.95/4.15 inference(monotonicity,[status(thm)],[264])).
% 3.95/4.15 tff(266,assumption,(~v6(sK293_VarCurr, bitIndex0)), introduced(assumption)).
% 3.95/4.15 tff(267,plain,
% 3.95/4.15 (~v6(constB11, bitIndex0)),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[266, 265])).
% 3.95/4.15 tff(268,assumption,(v6(constB11, bitIndex0)), introduced(assumption)).
% 3.95/4.15 tff(269,plain,
% 3.95/4.15 ($false),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[268, 267])).
% 3.95/4.15 tff(270,plain,((~(constB11 = sK293_VarCurr)) | (~v6(constB11, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 3.95/4.15 tff(271,plain,
% 3.95/4.15 (~v6(constB11, bitIndex0)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[270, 20, 19])).
% 3.95/4.15 tff(272,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext)))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(273,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[272])).
% 3.95/4.15 tff(274,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(275,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v929(VarNext) | v927(VarNext)) <=> (v927(VarNext) | v929(VarNext))), (((v929(VarNext) | v927(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v927(VarNext) | v929(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite(((v927(VarNext) | v929(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))), (((v929(VarNext) | v927(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(276,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((v929(VarNext) | v927(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[275])).
% 3.95/4.15 tff(277,axiom,(![VarNext: $i, VarCurr: $i] : ((v929(VarNext) | v927(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9904')).
% 3.95/4.15 tff(278,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[277, 276])).
% 3.95/4.15 tff(279,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[278, 274])).
% 3.95/4.15 tff(280,plain,(
% 3.95/4.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))),
% 3.95/4.15 inference(skolemize,[status(sab)],[279])).
% 3.95/4.15 tff(281,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[280, 273])).
% 3.95/4.15 tff(282,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB10, constB11)) | v929(constB11) | v927(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB10, constB11)) | v929(constB11) | v927(constB11))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(283,plain,
% 3.95/4.15 (((~nextState(constB10, constB11)) | v927(constB11) | v929(constB11)) <=> ((~nextState(constB10, constB11)) | v929(constB11) | v927(constB11))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(284,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB10, constB11)) | v927(constB11) | v929(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB10, constB11)) | v929(constB11) | v927(constB11)))),
% 3.95/4.15 inference(monotonicity,[status(thm)],[283])).
% 3.95/4.15 tff(285,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB10, constB11)) | v927(constB11) | v929(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB10, constB11)) | v929(constB11) | v927(constB11))),
% 3.95/4.15 inference(transitivity,[status(thm)],[284, 282])).
% 3.95/4.15 tff(286,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB10, constB11)) | v927(constB11) | v929(constB11))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(287,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB10, constB11)) | v929(constB11) | v927(constB11)),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[286, 285])).
% 3.95/4.15 tff(288,plain,
% 3.95/4.15 (v929(constB11) | v927(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[287, 281, 154])).
% 3.95/4.15 tff(289,plain,
% 3.95/4.15 (v927(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[288, 171])).
% 3.95/4.15 tff(290,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(291,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[290])).
% 3.95/4.15 tff(292,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(293,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v926(VarNext) | (~v927(VarNext))) | (~v1(VarNext))) <=> ((~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))), ((((v926(VarNext) | (~v927(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v1(VarNext)) | v926(VarNext) | (~v927(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite((((~v1(VarNext)) | v926(VarNext) | (~v927(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))), ((((v926(VarNext) | (~v927(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(294,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : (((v926(VarNext) | (~v927(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[293])).
% 3.95/4.15 tff(295,axiom,(![VarNext: $i, VarCurr: $i] : (((v926(VarNext) | (~v927(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9901')).
% 3.95/4.15 tff(296,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[295, 294])).
% 3.95/4.15 tff(297,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[296, 292])).
% 3.95/4.15 tff(298,plain,(
% 3.95/4.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))),
% 3.95/4.15 inference(skolemize,[status(sab)],[297])).
% 3.95/4.15 tff(299,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[298, 291])).
% 3.95/4.15 tff(300,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB10, constB11)) | (~v1(constB11)) | v926(constB11) | (~v927(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB10, constB11)) | (~v1(constB11)) | v926(constB11) | (~v927(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(301,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB10, constB11)) | (~v1(constB11)) | v926(constB11) | (~v927(constB11)))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(302,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB10, constB11)) | (~v1(constB11)) | v926(constB11) | (~v927(constB11))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[301, 300])).
% 3.95/4.15 tff(303,plain,
% 3.95/4.15 (v926(constB11) | (~v927(constB11))),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[302, 299, 154, 196])).
% 3.95/4.15 tff(304,plain,
% 3.95/4.15 (v926(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[303, 289])).
% 3.95/4.15 tff(305,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(306,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[305])).
% 3.95/4.15 tff(307,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(308,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : rewrite(((v925(VarNext) | (~v926(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(309,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((v925(VarNext) | (~v926(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[308])).
% 3.95/4.15 tff(310,axiom,(![VarNext: $i, VarCurr: $i] : ((v925(VarNext) | (~v926(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9895')).
% 3.95/4.15 tff(311,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[310, 309])).
% 3.95/4.15 tff(312,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[311, 307])).
% 3.95/4.15 tff(313,plain,(
% 3.95/4.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))),
% 3.95/4.15 inference(skolemize,[status(sab)],[312])).
% 3.95/4.15 tff(314,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[313, 306])).
% 3.95/4.15 tff(315,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB10, constB11)) | v925(constB11) | (~v926(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB10, constB11)) | v925(constB11) | (~v926(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(316,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB10, constB11)) | v925(constB11) | (~v926(constB11)))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(317,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB10, constB11)) | v925(constB11) | (~v926(constB11))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[316, 315])).
% 3.95/4.15 tff(318,plain,
% 3.95/4.15 (v925(constB11) | (~v926(constB11))),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[317, 314, 154])).
% 3.95/4.15 tff(319,plain,
% 3.95/4.15 (v925(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[318, 304])).
% 3.95/4.15 tff(320,plain,
% 3.95/4.15 (^[VarNext: $i] : refl((v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext))) <=> (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(321,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext))) <=> ![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[320])).
% 3.95/4.15 tff(322,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext))) <=> ![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(323,plain,
% 3.95/4.15 (^[VarNext: $i] : trans(monotonicity(rewrite((v6(VarNext, bitIndex0) | (~v935(VarNext))) <=> (v6(VarNext, bitIndex0) | (~v935(VarNext)))), (((v6(VarNext, bitIndex0) | (~v935(VarNext))) | (~v925(VarNext))) <=> ((v6(VarNext, bitIndex0) | (~v935(VarNext))) | (~v925(VarNext))))), rewrite(((v6(VarNext, bitIndex0) | (~v935(VarNext))) | (~v925(VarNext))) <=> (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))), (((v6(VarNext, bitIndex0) | (~v935(VarNext))) | (~v925(VarNext))) <=> (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(324,plain,
% 3.95/4.15 (![VarNext: $i] : ((v6(VarNext, bitIndex0) | (~v935(VarNext))) | (~v925(VarNext))) <=> ![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[323])).
% 3.95/4.15 tff(325,axiom,(![VarNext: $i] : ((v6(VarNext, bitIndex0) | (~v935(VarNext))) | (~v925(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9881')).
% 3.95/4.15 tff(326,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[325, 324])).
% 3.95/4.15 tff(327,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[326, 322])).
% 3.95/4.15 tff(328,plain,(
% 3.95/4.15 ![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))),
% 3.95/4.15 inference(skolemize,[status(sab)],[327])).
% 3.95/4.15 tff(329,plain,
% 3.95/4.15 (![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[328, 321])).
% 3.95/4.15 tff(330,plain,
% 3.95/4.15 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB11, bitIndex0) | (~v935(constB11)) | (~v925(constB11)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB11, bitIndex0) | (~v935(constB11)) | (~v925(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(331,plain,
% 3.95/4.15 ((v6(constB11, bitIndex0) | (~v925(constB11)) | (~v935(constB11))) <=> (v6(constB11, bitIndex0) | (~v935(constB11)) | (~v925(constB11)))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(332,plain,
% 3.95/4.15 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB11, bitIndex0) | (~v925(constB11)) | (~v935(constB11)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB11, bitIndex0) | (~v935(constB11)) | (~v925(constB11))))),
% 3.95/4.15 inference(monotonicity,[status(thm)],[331])).
% 3.95/4.15 tff(333,plain,
% 3.95/4.15 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB11, bitIndex0) | (~v925(constB11)) | (~v935(constB11)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB11, bitIndex0) | (~v935(constB11)) | (~v925(constB11)))),
% 3.95/4.15 inference(transitivity,[status(thm)],[332, 330])).
% 3.95/4.15 tff(334,plain,
% 3.95/4.15 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB11, bitIndex0) | (~v925(constB11)) | (~v935(constB11)))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(335,plain,
% 3.95/4.15 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB11, bitIndex0) | (~v935(constB11)) | (~v925(constB11))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[334, 333])).
% 3.95/4.15 tff(336,plain,
% 3.95/4.15 (v6(constB11, bitIndex0) | (~v935(constB11))),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[335, 329, 319])).
% 3.95/4.15 tff(337,plain,
% 3.95/4.15 (~v935(constB11)),
% 3.95/4.15 inference(unit_resolution,[status(thm)],[336, 271])).
% 3.95/4.15 tff(338,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext)))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(339,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[338])).
% 3.95/4.15 tff(340,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(341,plain,
% 3.95/4.15 (^[VarNext: $i, VarCurr: $i] : rewrite(((v935(VarNext) | (~v933(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext)))),
% 3.95/4.15 inference(bind,[status(th)],[])).
% 3.95/4.15 tff(342,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((v935(VarNext) | (~v933(VarCurr))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))),
% 3.95/4.15 inference(quant_intro,[status(thm)],[341])).
% 3.95/4.15 tff(343,axiom,(![VarNext: $i, VarCurr: $i] : ((v935(VarNext) | (~v933(VarCurr))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9885')).
% 3.95/4.15 tff(344,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[343, 342])).
% 3.95/4.15 tff(345,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[344, 340])).
% 3.95/4.15 tff(346,plain,(
% 3.95/4.15 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))),
% 3.95/4.15 inference(skolemize,[status(sab)],[345])).
% 3.95/4.15 tff(347,plain,
% 3.95/4.15 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))),
% 3.95/4.15 inference(modus_ponens,[status(thm)],[346, 339])).
% 3.95/4.15 tff(348,plain,
% 3.95/4.15 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB10, constB11)) | (~v933(constB10)) | v935(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB10, constB11)) | (~v933(constB10)) | v935(constB11))),
% 3.95/4.15 inference(rewrite,[status(thm)],[])).
% 3.95/4.15 tff(349,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB10, constB11)) | (~v933(constB10)) | v935(constB11))),
% 3.95/4.15 inference(quant_inst,[status(thm)],[])).
% 3.95/4.15 tff(350,plain,
% 3.95/4.15 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB10, constB11)) | (~v933(constB10)) | v935(constB11)),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[349, 348])).
% 3.95/4.16 tff(351,plain,
% 3.95/4.16 ((~v933(constB10)) | v935(constB11)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[350, 347, 154])).
% 3.95/4.16 tff(352,plain,
% 3.95/4.16 (~v933(constB10)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[351, 337])).
% 3.95/4.16 tff(353,assumption,(~v933(constB10)), introduced(assumption)).
% 3.95/4.16 tff(354,assumption,(v19(constB10, bitIndex0)), introduced(assumption)).
% 3.95/4.16 tff(355,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl(((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr)) <=> ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(356,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr)) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[355])).
% 3.95/4.16 tff(357,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr)) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(358,plain,
% 3.95/4.16 (^[VarCurr: $i] : rewrite(((v933(VarCurr) | (~v19(VarCurr, bitIndex0))) | (~v16(VarCurr))) <=> ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(359,plain,
% 3.95/4.16 (![VarCurr: $i] : ((v933(VarCurr) | (~v19(VarCurr, bitIndex0))) | (~v16(VarCurr))) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[358])).
% 3.95/4.16 tff(360,axiom,(![VarCurr: $i] : ((v933(VarCurr) | (~v19(VarCurr, bitIndex0))) | (~v16(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9889')).
% 3.95/4.16 tff(361,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[360, 359])).
% 3.95/4.16 tff(362,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[361, 357])).
% 3.95/4.16 tff(363,plain,(
% 3.95/4.16 ![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))),
% 3.95/4.16 inference(skolemize,[status(sab)],[362])).
% 3.95/4.16 tff(364,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[363, 356])).
% 3.95/4.16 tff(365,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex0)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(366,plain,
% 3.95/4.16 (((~v16(constB10)) | (~v19(constB10, bitIndex0)) | v933(constB10)) <=> (v933(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex0)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(367,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB10)) | (~v19(constB10, bitIndex0)) | v933(constB10))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex0))))),
% 3.95/4.16 inference(monotonicity,[status(thm)],[366])).
% 3.95/4.16 tff(368,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB10)) | (~v19(constB10, bitIndex0)) | v933(constB10))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex0)))),
% 3.95/4.16 inference(transitivity,[status(thm)],[367, 365])).
% 3.95/4.16 tff(369,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB10)) | (~v19(constB10, bitIndex0)) | v933(constB10))),
% 3.95/4.16 inference(quant_inst,[status(thm)],[])).
% 3.95/4.16 tff(370,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex0))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[369, 368])).
% 3.95/4.16 tff(371,plain,
% 3.95/4.16 (v933(constB10) | (~v16(constB10))),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[370, 364, 354])).
% 3.95/4.16 tff(372,plain,
% 3.95/4.16 (~v16(constB10)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[371, 353])).
% 3.95/4.16 tff(373,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl((v16(VarCurr) | v933(VarCurr)) <=> (v16(VarCurr) | v933(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(374,plain,
% 3.95/4.16 (![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr)) <=> ![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[373])).
% 3.95/4.16 tff(375,plain,
% 3.95/4.16 (![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr)) <=> ![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(376,plain,
% 3.95/4.16 (^[VarCurr: $i] : rewrite((v933(VarCurr) | v16(VarCurr)) <=> (v16(VarCurr) | v933(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(377,plain,
% 3.95/4.16 (![VarCurr: $i] : (v933(VarCurr) | v16(VarCurr)) <=> ![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[376])).
% 3.95/4.16 tff(378,axiom,(![VarCurr: $i] : (v933(VarCurr) | v16(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9891')).
% 3.95/4.16 tff(379,plain,
% 3.95/4.16 (![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[378, 377])).
% 3.95/4.16 tff(380,plain,
% 3.95/4.16 (![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[379, 375])).
% 3.95/4.16 tff(381,plain,(
% 3.95/4.16 ![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))),
% 3.95/4.16 inference(skolemize,[status(sab)],[380])).
% 3.95/4.16 tff(382,plain,
% 3.95/4.16 (![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[381, 374])).
% 3.95/4.16 tff(383,plain,
% 3.95/4.16 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB10) | v933(constB10))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB10) | v933(constB10))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(384,plain,
% 3.95/4.16 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB10) | v933(constB10))),
% 3.95/4.16 inference(quant_inst,[status(thm)],[])).
% 3.95/4.16 tff(385,plain,
% 3.95/4.16 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB10) | v933(constB10)),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[384, 383])).
% 3.95/4.16 tff(386,plain,
% 3.95/4.16 ($false),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[385, 382, 353, 372])).
% 3.95/4.16 tff(387,plain,(v933(constB10) | (~v19(constB10, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 3.95/4.16 tff(388,plain,
% 3.95/4.16 (~v19(constB10, bitIndex0)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[387, 353])).
% 3.95/4.16 tff(389,assumption,(~v947(constB10)), introduced(assumption)).
% 3.95/4.16 tff(390,plain,
% 3.95/4.16 (v16(constB10)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[385, 382, 353])).
% 3.95/4.16 tff(391,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl(((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr)) <=> ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(392,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr)) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[391])).
% 3.95/4.16 tff(393,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr)) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(394,plain,
% 3.95/4.16 (^[VarCurr: $i] : rewrite(((v947(VarCurr) | (~v19(VarCurr, bitIndex1))) | (~v16(VarCurr))) <=> ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(395,plain,
% 3.95/4.16 (![VarCurr: $i] : ((v947(VarCurr) | (~v19(VarCurr, bitIndex1))) | (~v16(VarCurr))) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[394])).
% 3.95/4.16 tff(396,axiom,(![VarCurr: $i] : ((v947(VarCurr) | (~v19(VarCurr, bitIndex1))) | (~v16(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9856')).
% 3.95/4.16 tff(397,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[396, 395])).
% 3.95/4.16 tff(398,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[397, 393])).
% 3.95/4.16 tff(399,plain,(
% 3.95/4.16 ![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))),
% 3.95/4.16 inference(skolemize,[status(sab)],[398])).
% 3.95/4.16 tff(400,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[399, 392])).
% 3.95/4.16 tff(401,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex1)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(402,plain,
% 3.95/4.16 (((~v16(constB10)) | (~v19(constB10, bitIndex1)) | v947(constB10)) <=> (v947(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex1)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(403,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB10)) | (~v19(constB10, bitIndex1)) | v947(constB10))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex1))))),
% 3.95/4.16 inference(monotonicity,[status(thm)],[402])).
% 3.95/4.16 tff(404,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB10)) | (~v19(constB10, bitIndex1)) | v947(constB10))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex1)))),
% 3.95/4.16 inference(transitivity,[status(thm)],[403, 401])).
% 3.95/4.16 tff(405,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB10)) | (~v19(constB10, bitIndex1)) | v947(constB10))),
% 3.95/4.16 inference(quant_inst,[status(thm)],[])).
% 3.95/4.16 tff(406,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB10) | (~v16(constB10)) | (~v19(constB10, bitIndex1))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[405, 404])).
% 3.95/4.16 tff(407,plain,
% 3.95/4.16 ((~v16(constB10)) | (~v19(constB10, bitIndex1))),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[406, 400, 389])).
% 3.95/4.16 tff(408,plain,
% 3.95/4.16 (~v19(constB10, bitIndex1)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[407, 390])).
% 3.95/4.16 tff(409,assumption,(v6(constB10, bitIndex0)), introduced(assumption)).
% 3.95/4.16 tff(410,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl(((~v911(VarCurr)) | v19(VarCurr, bitIndex0)) <=> ((~v911(VarCurr)) | v19(VarCurr, bitIndex0)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(411,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[410])).
% 3.95/4.16 tff(412,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(413,axiom,(![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9928')).
% 3.95/4.16 tff(414,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[413, 412])).
% 3.95/4.16 tff(415,plain,(
% 3.95/4.16 ![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))),
% 3.95/4.16 inference(skolemize,[status(sab)],[414])).
% 3.95/4.16 tff(416,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[415, 411])).
% 3.95/4.16 tff(417,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB10)) | v19(constB10, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB10)) | v19(constB10, bitIndex0))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(418,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB10)) | v19(constB10, bitIndex0))),
% 3.95/4.16 inference(quant_inst,[status(thm)],[])).
% 3.95/4.16 tff(419,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB10)) | v19(constB10, bitIndex0)),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[418, 417])).
% 3.95/4.16 tff(420,plain,
% 3.95/4.16 (~v911(constB10)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[419, 416, 388])).
% 3.95/4.16 tff(421,assumption,(~v918(constB10)), introduced(assumption)).
% 3.95/4.16 tff(422,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl(((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr)) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(423,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[422])).
% 3.95/4.16 tff(424,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(425,plain,
% 3.95/4.16 (^[VarCurr: $i] : rewrite(((v918(VarCurr) | (~v25(VarCurr, bitIndex1))) | (~v6(VarCurr, bitIndex0))) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(426,plain,
% 3.95/4.16 (![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex1))) | (~v6(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[425])).
% 3.95/4.16 tff(427,axiom,(![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex1))) | (~v6(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9920')).
% 3.95/4.16 tff(428,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[427, 426])).
% 3.95/4.16 tff(429,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[428, 424])).
% 3.95/4.16 tff(430,plain,(
% 3.95/4.16 ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))),
% 3.95/4.16 inference(skolemize,[status(sab)],[429])).
% 3.95/4.16 tff(431,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[430, 423])).
% 3.95/4.16 tff(432,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex1)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(433,plain,
% 3.95/4.16 (((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex1)) | v918(constB10)) <=> ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex1)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(434,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex1)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex1))))),
% 3.95/4.16 inference(monotonicity,[status(thm)],[433])).
% 3.95/4.16 tff(435,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex1)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex1)))),
% 3.95/4.16 inference(transitivity,[status(thm)],[434, 432])).
% 3.95/4.16 tff(436,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex1)) | v918(constB10))),
% 3.95/4.16 inference(quant_inst,[status(thm)],[])).
% 3.95/4.16 tff(437,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex1))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[436, 435])).
% 3.95/4.16 tff(438,plain,
% 3.95/4.16 (v918(constB10) | (~v25(constB10, bitIndex1))),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[437, 431, 409])).
% 3.95/4.16 tff(439,plain,
% 3.95/4.16 (~v25(constB10, bitIndex1)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[438, 421])).
% 3.95/4.16 tff(440,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl(((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr)) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(441,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[440])).
% 3.95/4.16 tff(442,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(443,plain,
% 3.95/4.16 (^[VarCurr: $i] : rewrite(((v918(VarCurr) | (~v25(VarCurr, bitIndex0))) | (~v6(VarCurr, bitIndex0))) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(444,plain,
% 3.95/4.16 (![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex0))) | (~v6(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[443])).
% 3.95/4.16 tff(445,axiom,(![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex0))) | (~v6(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9921')).
% 3.95/4.16 tff(446,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[445, 444])).
% 3.95/4.16 tff(447,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[446, 442])).
% 3.95/4.16 tff(448,plain,(
% 3.95/4.16 ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))),
% 3.95/4.16 inference(skolemize,[status(sab)],[447])).
% 3.95/4.16 tff(449,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[448, 441])).
% 3.95/4.16 tff(450,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex0)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(451,plain,
% 3.95/4.16 (((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex0)) | v918(constB10)) <=> ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex0)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(452,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex0)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex0))))),
% 3.95/4.16 inference(monotonicity,[status(thm)],[451])).
% 3.95/4.16 tff(453,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex0)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex0)))),
% 3.95/4.16 inference(transitivity,[status(thm)],[452, 450])).
% 3.95/4.16 tff(454,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex0)) | v918(constB10))),
% 3.95/4.16 inference(quant_inst,[status(thm)],[])).
% 3.95/4.16 tff(455,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex0))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[454, 453])).
% 3.95/4.16 tff(456,plain,
% 3.95/4.16 (v918(constB10) | (~v25(constB10, bitIndex0))),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[455, 449, 409])).
% 3.95/4.16 tff(457,plain,
% 3.95/4.16 (~v25(constB10, bitIndex0)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[456, 421])).
% 3.95/4.16 tff(458,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl(((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr)) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(459,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[458])).
% 3.95/4.16 tff(460,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(461,plain,
% 3.95/4.16 (^[VarCurr: $i] : rewrite(((v918(VarCurr) | (~v25(VarCurr, bitIndex2))) | (~v6(VarCurr, bitIndex0))) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(462,plain,
% 3.95/4.16 (![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex2))) | (~v6(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[461])).
% 3.95/4.16 tff(463,axiom,(![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex2))) | (~v6(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9922')).
% 3.95/4.16 tff(464,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[463, 462])).
% 3.95/4.16 tff(465,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[464, 460])).
% 3.95/4.16 tff(466,plain,(
% 3.95/4.16 ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))),
% 3.95/4.16 inference(skolemize,[status(sab)],[465])).
% 3.95/4.16 tff(467,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[466, 459])).
% 3.95/4.16 tff(468,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex2)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(469,plain,
% 3.95/4.16 (((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex2)) | v918(constB10)) <=> ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex2)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(470,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex2)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex2))))),
% 3.95/4.16 inference(monotonicity,[status(thm)],[469])).
% 3.95/4.16 tff(471,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex2)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex2)))),
% 3.95/4.16 inference(transitivity,[status(thm)],[470, 468])).
% 3.95/4.16 tff(472,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex2)) | v918(constB10))),
% 3.95/4.16 inference(quant_inst,[status(thm)],[])).
% 3.95/4.16 tff(473,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex2))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[472, 471])).
% 3.95/4.16 tff(474,plain,
% 3.95/4.16 (v918(constB10) | (~v25(constB10, bitIndex2))),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[473, 467, 409])).
% 3.95/4.16 tff(475,plain,
% 3.95/4.16 (~v25(constB10, bitIndex2)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[474, 421])).
% 3.95/4.16 tff(476,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl(((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr)) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(477,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[476])).
% 3.95/4.16 tff(478,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(479,plain,
% 3.95/4.16 (^[VarCurr: $i] : rewrite(((v918(VarCurr) | (~v25(VarCurr, bitIndex4))) | (~v6(VarCurr, bitIndex0))) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(480,plain,
% 3.95/4.16 (![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex4))) | (~v6(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[479])).
% 3.95/4.16 tff(481,axiom,(![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex4))) | (~v6(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9924')).
% 3.95/4.16 tff(482,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[481, 480])).
% 3.95/4.16 tff(483,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[482, 478])).
% 3.95/4.16 tff(484,plain,(
% 3.95/4.16 ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))),
% 3.95/4.16 inference(skolemize,[status(sab)],[483])).
% 3.95/4.16 tff(485,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[484, 477])).
% 3.95/4.16 tff(486,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex4)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(487,plain,
% 3.95/4.16 (((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex4)) | v918(constB10)) <=> ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex4)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(488,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex4)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex4))))),
% 3.95/4.16 inference(monotonicity,[status(thm)],[487])).
% 3.95/4.16 tff(489,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex4)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex4)))),
% 3.95/4.16 inference(transitivity,[status(thm)],[488, 486])).
% 3.95/4.16 tff(490,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex4)) | v918(constB10))),
% 3.95/4.16 inference(quant_inst,[status(thm)],[])).
% 3.95/4.16 tff(491,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex4))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[490, 489])).
% 3.95/4.16 tff(492,plain,
% 3.95/4.16 (v918(constB10) | (~v25(constB10, bitIndex4))),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[491, 485, 409])).
% 3.95/4.16 tff(493,plain,
% 3.95/4.16 (~v25(constB10, bitIndex4)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[492, 421])).
% 3.95/4.16 tff(494,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl(((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr)) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(495,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[494])).
% 3.95/4.16 tff(496,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(497,plain,
% 3.95/4.16 (^[VarCurr: $i] : rewrite(((v918(VarCurr) | (~v25(VarCurr, bitIndex3))) | (~v6(VarCurr, bitIndex0))) <=> ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(498,plain,
% 3.95/4.16 (![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex3))) | (~v6(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[497])).
% 3.95/4.16 tff(499,axiom,(![VarCurr: $i] : ((v918(VarCurr) | (~v25(VarCurr, bitIndex3))) | (~v6(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9923')).
% 3.95/4.16 tff(500,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[499, 498])).
% 3.95/4.16 tff(501,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[500, 496])).
% 3.95/4.16 tff(502,plain,(
% 3.95/4.16 ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))),
% 3.95/4.16 inference(skolemize,[status(sab)],[501])).
% 3.95/4.16 tff(503,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[502, 495])).
% 3.95/4.16 tff(504,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex3)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(505,plain,
% 3.95/4.16 (((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex3)) | v918(constB10)) <=> ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex3)))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(506,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex3)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex3))))),
% 3.95/4.16 inference(monotonicity,[status(thm)],[505])).
% 3.95/4.16 tff(507,plain,
% 3.95/4.16 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex3)) | v918(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex3)))),
% 3.95/4.16 inference(transitivity,[status(thm)],[506, 504])).
% 3.95/4.16 tff(508,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB10, bitIndex0)) | (~v25(constB10, bitIndex3)) | v918(constB10))),
% 3.95/4.16 inference(quant_inst,[status(thm)],[])).
% 3.95/4.16 tff(509,plain,
% 3.95/4.16 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB10, bitIndex0)) | v918(constB10) | (~v25(constB10, bitIndex3))),
% 3.95/4.16 inference(modus_ponens,[status(thm)],[508, 507])).
% 3.95/4.16 tff(510,plain,
% 3.95/4.16 (v918(constB10) | (~v25(constB10, bitIndex3))),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[509, 503, 409])).
% 3.95/4.16 tff(511,plain,
% 3.95/4.16 (~v25(constB10, bitIndex3)),
% 3.95/4.16 inference(unit_resolution,[status(thm)],[510, 421])).
% 3.95/4.16 tff(512,assumption,(~v911(constB10)), introduced(assumption)).
% 3.95/4.16 tff(513,plain,
% 3.95/4.16 (^[VarCurr: $i] : refl(((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) <=> ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)))),
% 3.95/4.16 inference(bind,[status(th)],[])).
% 3.95/4.16 tff(514,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))),
% 3.95/4.16 inference(quant_intro,[status(thm)],[513])).
% 3.95/4.16 tff(515,plain,
% 3.95/4.16 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))),
% 3.95/4.16 inference(rewrite,[status(thm)],[])).
% 3.95/4.16 tff(516,plain,
% 3.95/4.16 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) <=> (v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))), ((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) <=> ((v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) | v25(VarCurr, bitIndex2)))), rewrite(((v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) | v25(VarCurr, bitIndex2)) <=> (v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))), ((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) <=> (v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)))), (((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) <=> ((v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) | v25(VarCurr, bitIndex0)))), rewrite(((v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) | v25(VarCurr, bitIndex0)) <=> (v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))), (((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) <=> (v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)))), ((((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) <=> ((v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) | v25(VarCurr, bitIndex1)))), rewrite(((v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) | v25(VarCurr, bitIndex1)) <=> (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))), ((((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) <=> (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)))), (((((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) | (~v6(VarCurr, bitIndex0))) <=> ((v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) | (~v6(VarCurr, bitIndex0))))), rewrite(((v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr)) | (~v6(VarCurr, bitIndex0))) <=> ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))), (((((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) | (~v6(VarCurr, bitIndex0))) <=> ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))))),
% 3.95/4.17 inference(bind,[status(th)],[])).
% 3.95/4.17 tff(517,plain,
% 3.95/4.17 (![VarCurr: $i] : ((((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) | (~v6(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))),
% 3.95/4.17 inference(quant_intro,[status(thm)],[516])).
% 3.95/4.17 tff(518,axiom,(![VarCurr: $i] : ((((((v911(VarCurr) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) | (~v6(VarCurr, bitIndex0)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9938')).
% 3.95/4.17 tff(519,plain,
% 3.95/4.17 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[518, 517])).
% 3.95/4.17 tff(520,plain,
% 3.95/4.17 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[519, 515])).
% 3.95/4.17 tff(521,plain,(
% 3.95/4.17 ![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))),
% 3.95/4.17 inference(skolemize,[status(sab)],[520])).
% 3.95/4.17 tff(522,plain,
% 3.95/4.17 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[521, 514])).
% 3.95/4.17 tff(523,plain,
% 3.95/4.17 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB10, bitIndex0)) | v911(constB10) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB10, bitIndex0)) | v911(constB10) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(524,plain,
% 3.95/4.17 (((~v6(constB10, bitIndex0)) | v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4) | v911(constB10)) <=> ((~v6(constB10, bitIndex0)) | v911(constB10) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(525,plain,
% 3.95/4.17 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB10, bitIndex0)) | v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4) | v911(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB10, bitIndex0)) | v911(constB10) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1)))),
% 3.95/4.17 inference(monotonicity,[status(thm)],[524])).
% 3.95/4.17 tff(526,plain,
% 3.95/4.17 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB10, bitIndex0)) | v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4) | v911(constB10))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB10, bitIndex0)) | v911(constB10) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1))),
% 3.95/4.17 inference(transitivity,[status(thm)],[525, 523])).
% 3.95/4.17 tff(527,plain,
% 3.95/4.17 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB10, bitIndex0)) | v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4) | v911(constB10))),
% 3.95/4.17 inference(quant_inst,[status(thm)],[])).
% 3.95/4.17 tff(528,plain,
% 3.95/4.17 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB10, bitIndex0)) | v911(constB10) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1)),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[527, 526])).
% 3.95/4.17 tff(529,plain,
% 3.95/4.17 ((~v6(constB10, bitIndex0)) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1)),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[528, 522, 512])).
% 3.95/4.17 tff(530,plain,
% 3.95/4.17 ($false),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[529, 511, 493, 409, 475, 457, 439])).
% 3.95/4.17 tff(531,plain,(v918(constB10) | (~v6(constB10, bitIndex0)) | v911(constB10)), inference(lemma,lemma(discharge,[]))).
% 3.95/4.17 tff(532,plain,
% 3.95/4.17 (v918(constB10)),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[531, 420, 409])).
% 3.95/4.17 tff(533,plain,
% 3.95/4.17 (^[VarCurr: $i] : refl(((~v918(VarCurr)) | v19(VarCurr, bitIndex1)) <=> ((~v918(VarCurr)) | v19(VarCurr, bitIndex1)))),
% 3.95/4.17 inference(bind,[status(th)],[])).
% 3.95/4.17 tff(534,plain,
% 3.95/4.17 (![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))),
% 3.95/4.17 inference(quant_intro,[status(thm)],[533])).
% 3.95/4.17 tff(535,plain,
% 3.95/4.17 (![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(536,axiom,(![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9913')).
% 3.95/4.17 tff(537,plain,
% 3.95/4.17 (![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[536, 535])).
% 3.95/4.17 tff(538,plain,(
% 3.95/4.17 ![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))),
% 3.95/4.17 inference(skolemize,[status(sab)],[537])).
% 3.95/4.17 tff(539,plain,
% 3.95/4.17 (![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[538, 534])).
% 3.95/4.17 tff(540,plain,
% 3.95/4.17 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB10)) | v19(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB10)) | v19(constB10, bitIndex1))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(541,plain,
% 3.95/4.17 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB10)) | v19(constB10, bitIndex1))),
% 3.95/4.17 inference(quant_inst,[status(thm)],[])).
% 3.95/4.17 tff(542,plain,
% 3.95/4.17 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB10)) | v19(constB10, bitIndex1)),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[541, 540])).
% 3.95/4.17 tff(543,plain,
% 3.95/4.17 ($false),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[542, 539, 532, 408])).
% 3.95/4.17 tff(544,plain,(v933(constB10) | (~v6(constB10, bitIndex0)) | v947(constB10)), inference(lemma,lemma(discharge,[]))).
% 3.95/4.17 tff(545,plain,
% 3.95/4.17 (~v6(constB10, bitIndex0)),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[544, 389, 353])).
% 3.95/4.17 tff(546,plain,
% 3.95/4.17 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext))))),
% 3.95/4.17 inference(bind,[status(th)],[])).
% 3.95/4.17 tff(547,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))),
% 3.95/4.17 inference(quant_intro,[status(thm)],[546])).
% 3.95/4.17 tff(548,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(549,plain,
% 3.95/4.17 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v926(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext))))),
% 3.95/4.17 inference(bind,[status(th)],[])).
% 3.95/4.17 tff(550,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v926(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))),
% 3.95/4.17 inference(quant_intro,[status(thm)],[549])).
% 3.95/4.17 tff(551,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v926(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9899')).
% 3.95/4.17 tff(552,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[551, 550])).
% 3.95/4.17 tff(553,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[552, 548])).
% 3.95/4.17 tff(554,plain,(
% 3.95/4.17 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))),
% 3.95/4.17 inference(skolemize,[status(sab)],[553])).
% 3.95/4.17 tff(555,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[554, 547])).
% 3.95/4.17 tff(556,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB9, constB10)) | v1(constB10) | (~v926(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB9, constB10)) | v1(constB10) | (~v926(constB10)))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(557,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB9, constB10)) | v1(constB10) | (~v926(constB10)))),
% 3.95/4.17 inference(quant_inst,[status(thm)],[])).
% 3.95/4.17 tff(558,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB9, constB10)) | v1(constB10) | (~v926(constB10))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[557, 556])).
% 3.95/4.17 tff(559,plain,
% 3.95/4.17 (~v926(constB10)),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[558, 555, 144, 151])).
% 3.95/4.17 tff(560,plain,
% 3.95/4.17 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext)))),
% 3.95/4.17 inference(bind,[status(th)],[])).
% 3.95/4.17 tff(561,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))),
% 3.95/4.17 inference(quant_intro,[status(thm)],[560])).
% 3.95/4.17 tff(562,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(563,plain,
% 3.95/4.17 (^[VarNext: $i, VarCurr: $i] : rewrite(((v926(VarNext) | (~v925(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext)))),
% 3.95/4.17 inference(bind,[status(th)],[])).
% 3.95/4.17 tff(564,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((v926(VarNext) | (~v925(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))),
% 3.95/4.17 inference(quant_intro,[status(thm)],[563])).
% 3.95/4.17 tff(565,axiom,(![VarNext: $i, VarCurr: $i] : ((v926(VarNext) | (~v925(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9894')).
% 3.95/4.17 tff(566,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[565, 564])).
% 3.95/4.17 tff(567,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[566, 562])).
% 3.95/4.17 tff(568,plain,(
% 3.95/4.17 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))),
% 3.95/4.17 inference(skolemize,[status(sab)],[567])).
% 3.95/4.17 tff(569,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[568, 561])).
% 3.95/4.17 tff(570,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB9, constB10)) | v926(constB10) | (~v925(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB9, constB10)) | v926(constB10) | (~v925(constB10)))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(571,plain,
% 3.95/4.17 (((~nextState(constB9, constB10)) | (~v925(constB10)) | v926(constB10)) <=> ((~nextState(constB9, constB10)) | v926(constB10) | (~v925(constB10)))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(572,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB9, constB10)) | (~v925(constB10)) | v926(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB9, constB10)) | v926(constB10) | (~v925(constB10))))),
% 3.95/4.17 inference(monotonicity,[status(thm)],[571])).
% 3.95/4.17 tff(573,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB9, constB10)) | (~v925(constB10)) | v926(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB9, constB10)) | v926(constB10) | (~v925(constB10)))),
% 3.95/4.17 inference(transitivity,[status(thm)],[572, 570])).
% 3.95/4.17 tff(574,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB9, constB10)) | (~v925(constB10)) | v926(constB10))),
% 3.95/4.17 inference(quant_inst,[status(thm)],[])).
% 3.95/4.17 tff(575,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB9, constB10)) | v926(constB10) | (~v925(constB10))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[574, 573])).
% 3.95/4.17 tff(576,plain,
% 3.95/4.17 (v926(constB10) | (~v925(constB10))),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[575, 569, 144])).
% 3.95/4.17 tff(577,plain,
% 3.95/4.17 (~v925(constB10)),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[576, 559])).
% 3.95/4.17 tff(578,plain,
% 3.95/4.17 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0)) <=> ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0)))),
% 3.95/4.17 inference(bind,[status(th)],[])).
% 3.95/4.17 tff(579,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))),
% 3.95/4.17 inference(quant_intro,[status(thm)],[578])).
% 3.95/4.17 tff(580,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(581,plain,
% 3.95/4.17 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v6(VarNext, bitIndex0) | (~v6(VarCurr, bitIndex0))) <=> ((~v6(VarCurr, bitIndex0)) | v6(VarNext, bitIndex0))), (((v6(VarNext, bitIndex0) | (~v6(VarCurr, bitIndex0))) | v925(VarNext)) <=> (((~v6(VarCurr, bitIndex0)) | v6(VarNext, bitIndex0)) | v925(VarNext)))), rewrite((((~v6(VarCurr, bitIndex0)) | v6(VarNext, bitIndex0)) | v925(VarNext)) <=> ((~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))), (((v6(VarNext, bitIndex0) | (~v6(VarCurr, bitIndex0))) | v925(VarNext)) <=> ((~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0)))), ((((v6(VarNext, bitIndex0) | (~v6(VarCurr, bitIndex0))) | v925(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))), ((((v6(VarNext, bitIndex0) | (~v6(VarCurr, bitIndex0))) | v925(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))))),
% 3.95/4.17 inference(bind,[status(th)],[])).
% 3.95/4.17 tff(582,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : (((v6(VarNext, bitIndex0) | (~v6(VarCurr, bitIndex0))) | v925(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))),
% 3.95/4.17 inference(quant_intro,[status(thm)],[581])).
% 3.95/4.17 tff(583,axiom,(![VarNext: $i, VarCurr: $i] : (((v6(VarNext, bitIndex0) | (~v6(VarCurr, bitIndex0))) | v925(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9877')).
% 3.95/4.17 tff(584,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[583, 582])).
% 3.95/4.17 tff(585,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[584, 580])).
% 3.95/4.17 tff(586,plain,(
% 3.95/4.17 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))),
% 3.95/4.17 inference(skolemize,[status(sab)],[585])).
% 3.95/4.17 tff(587,plain,
% 3.95/4.17 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[586, 579])).
% 3.95/4.17 tff(588,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB9, bitIndex0)) | (~nextState(constB9, constB10)) | v925(constB10) | v6(constB10, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB9, bitIndex0)) | (~nextState(constB9, constB10)) | v925(constB10) | v6(constB10, bitIndex0))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(589,plain,
% 3.95/4.17 (((~nextState(constB9, constB10)) | (~v6(constB9, bitIndex0)) | v925(constB10) | v6(constB10, bitIndex0)) <=> ((~v6(constB9, bitIndex0)) | (~nextState(constB9, constB10)) | v925(constB10) | v6(constB10, bitIndex0))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(590,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v6(constB9, bitIndex0)) | v925(constB10) | v6(constB10, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB9, bitIndex0)) | (~nextState(constB9, constB10)) | v925(constB10) | v6(constB10, bitIndex0)))),
% 3.95/4.17 inference(monotonicity,[status(thm)],[589])).
% 3.95/4.17 tff(591,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v6(constB9, bitIndex0)) | v925(constB10) | v6(constB10, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB9, bitIndex0)) | (~nextState(constB9, constB10)) | v925(constB10) | v6(constB10, bitIndex0))),
% 3.95/4.17 inference(transitivity,[status(thm)],[590, 588])).
% 3.95/4.17 tff(592,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB9, constB10)) | (~v6(constB9, bitIndex0)) | v925(constB10) | v6(constB10, bitIndex0))),
% 3.95/4.17 inference(quant_inst,[status(thm)],[])).
% 3.95/4.17 tff(593,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB9, bitIndex0)) | (~nextState(constB9, constB10)) | v925(constB10) | v6(constB10, bitIndex0)),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[592, 591])).
% 3.95/4.17 tff(594,plain,
% 3.95/4.17 ((~v6(constB9, bitIndex0)) | v925(constB10) | v6(constB10, bitIndex0)),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[593, 587, 144])).
% 3.95/4.17 tff(595,plain,
% 3.95/4.17 ((~v6(constB9, bitIndex0)) | v6(constB10, bitIndex0)),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[594, 577])).
% 3.95/4.17 tff(596,plain,
% 3.95/4.17 (~v6(constB9, bitIndex0)),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[595, 545])).
% 3.95/4.17 tff(597,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB8) | (~nextState(constB8, constB9)) | (~v929(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB8) | (~nextState(constB8, constB9)) | (~v929(constB9)))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(598,plain,
% 3.95/4.17 (((~nextState(constB8, constB9)) | v1(constB8) | (~v929(constB9))) <=> (v1(constB8) | (~nextState(constB8, constB9)) | (~v929(constB9)))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(599,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB8, constB9)) | v1(constB8) | (~v929(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB8) | (~nextState(constB8, constB9)) | (~v929(constB9))))),
% 3.95/4.17 inference(monotonicity,[status(thm)],[598])).
% 3.95/4.17 tff(600,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB8, constB9)) | v1(constB8) | (~v929(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB8) | (~nextState(constB8, constB9)) | (~v929(constB9)))),
% 3.95/4.17 inference(transitivity,[status(thm)],[599, 597])).
% 3.95/4.17 tff(601,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB8, constB9)) | v1(constB8) | (~v929(constB9)))),
% 3.95/4.17 inference(quant_inst,[status(thm)],[])).
% 3.95/4.17 tff(602,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB8) | (~nextState(constB8, constB9)) | (~v929(constB9))),
% 3.95/4.17 inference(modus_ponens,[status(thm)],[601, 600])).
% 3.95/4.17 tff(603,plain,
% 3.95/4.17 (~v929(constB9)),
% 3.95/4.17 inference(unit_resolution,[status(thm)],[602, 164, 134, 131])).
% 3.95/4.17 tff(604,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB8, constB9)) | v929(constB9) | v927(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB8, constB9)) | v929(constB9) | v927(constB9))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(605,plain,
% 3.95/4.17 (((~nextState(constB8, constB9)) | v927(constB9) | v929(constB9)) <=> ((~nextState(constB8, constB9)) | v929(constB9) | v927(constB9))),
% 3.95/4.17 inference(rewrite,[status(thm)],[])).
% 3.95/4.17 tff(606,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB8, constB9)) | v927(constB9) | v929(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB8, constB9)) | v929(constB9) | v927(constB9)))),
% 3.95/4.17 inference(monotonicity,[status(thm)],[605])).
% 3.95/4.17 tff(607,plain,
% 3.95/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB8, constB9)) | v927(constB9) | v929(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB8, constB9)) | v929(constB9) | v927(constB9))),
% 3.95/4.17 inference(transitivity,[status(thm)],[606, 604])).
% 3.95/4.17 tff(608,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB8, constB9)) | v927(constB9) | v929(constB9))),
% 3.95/4.17 inference(quant_inst,[status(thm)],[])).
% 3.95/4.17 tff(609,plain,
% 3.95/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB8, constB9)) | v929(constB9) | v927(constB9)),
% 4.01/4.17 inference(modus_ponens,[status(thm)],[608, 607])).
% 4.01/4.17 tff(610,plain,
% 4.01/4.17 (v929(constB9) | v927(constB9)),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[609, 281, 134])).
% 4.01/4.17 tff(611,plain,
% 4.01/4.17 (v927(constB9)),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[610, 603])).
% 4.01/4.17 tff(612,plain,
% 4.01/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB8, constB9)) | (~v1(constB9)) | v926(constB9) | (~v927(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB8, constB9)) | (~v1(constB9)) | v926(constB9) | (~v927(constB9)))),
% 4.01/4.17 inference(rewrite,[status(thm)],[])).
% 4.01/4.17 tff(613,plain,
% 4.01/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB8, constB9)) | (~v1(constB9)) | v926(constB9) | (~v927(constB9)))),
% 4.01/4.17 inference(quant_inst,[status(thm)],[])).
% 4.01/4.17 tff(614,plain,
% 4.01/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB8, constB9)) | (~v1(constB9)) | v926(constB9) | (~v927(constB9))),
% 4.01/4.17 inference(modus_ponens,[status(thm)],[613, 612])).
% 4.01/4.17 tff(615,plain,
% 4.01/4.17 (v926(constB9) | (~v927(constB9))),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[614, 299, 134, 141])).
% 4.01/4.17 tff(616,plain,
% 4.01/4.17 (v926(constB9)),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[615, 611])).
% 4.01/4.17 tff(617,plain,
% 4.01/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB8, constB9)) | v925(constB9) | (~v926(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB8, constB9)) | v925(constB9) | (~v926(constB9)))),
% 4.01/4.17 inference(rewrite,[status(thm)],[])).
% 4.01/4.17 tff(618,plain,
% 4.01/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB8, constB9)) | v925(constB9) | (~v926(constB9)))),
% 4.01/4.17 inference(quant_inst,[status(thm)],[])).
% 4.01/4.17 tff(619,plain,
% 4.01/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB8, constB9)) | v925(constB9) | (~v926(constB9))),
% 4.01/4.17 inference(modus_ponens,[status(thm)],[618, 617])).
% 4.01/4.17 tff(620,plain,
% 4.01/4.17 (v925(constB9) | (~v926(constB9))),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[619, 314, 134])).
% 4.01/4.17 tff(621,plain,
% 4.01/4.17 (v925(constB9)),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[620, 616])).
% 4.01/4.17 tff(622,plain,
% 4.01/4.17 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB9, bitIndex0) | (~v935(constB9)) | (~v925(constB9)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB9, bitIndex0) | (~v935(constB9)) | (~v925(constB9)))),
% 4.01/4.17 inference(rewrite,[status(thm)],[])).
% 4.01/4.17 tff(623,plain,
% 4.01/4.17 ((v6(constB9, bitIndex0) | (~v925(constB9)) | (~v935(constB9))) <=> (v6(constB9, bitIndex0) | (~v935(constB9)) | (~v925(constB9)))),
% 4.01/4.17 inference(rewrite,[status(thm)],[])).
% 4.01/4.17 tff(624,plain,
% 4.01/4.17 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB9, bitIndex0) | (~v925(constB9)) | (~v935(constB9)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB9, bitIndex0) | (~v935(constB9)) | (~v925(constB9))))),
% 4.01/4.17 inference(monotonicity,[status(thm)],[623])).
% 4.01/4.17 tff(625,plain,
% 4.01/4.17 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB9, bitIndex0) | (~v925(constB9)) | (~v935(constB9)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB9, bitIndex0) | (~v935(constB9)) | (~v925(constB9)))),
% 4.01/4.17 inference(transitivity,[status(thm)],[624, 622])).
% 4.01/4.17 tff(626,plain,
% 4.01/4.17 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB9, bitIndex0) | (~v925(constB9)) | (~v935(constB9)))),
% 4.01/4.17 inference(quant_inst,[status(thm)],[])).
% 4.01/4.17 tff(627,plain,
% 4.01/4.17 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB9, bitIndex0) | (~v935(constB9)) | (~v925(constB9))),
% 4.01/4.17 inference(modus_ponens,[status(thm)],[626, 625])).
% 4.01/4.17 tff(628,plain,
% 4.01/4.17 (v6(constB9, bitIndex0) | (~v935(constB9))),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[627, 329, 621])).
% 4.01/4.17 tff(629,plain,
% 4.01/4.17 (~v935(constB9)),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[628, 596])).
% 4.01/4.17 tff(630,plain,
% 4.01/4.17 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB8, constB9)) | (~v933(constB8)) | v935(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB8, constB9)) | (~v933(constB8)) | v935(constB9))),
% 4.01/4.17 inference(rewrite,[status(thm)],[])).
% 4.01/4.17 tff(631,plain,
% 4.01/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB8, constB9)) | (~v933(constB8)) | v935(constB9))),
% 4.01/4.17 inference(quant_inst,[status(thm)],[])).
% 4.01/4.17 tff(632,plain,
% 4.01/4.17 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB8, constB9)) | (~v933(constB8)) | v935(constB9)),
% 4.01/4.17 inference(modus_ponens,[status(thm)],[631, 630])).
% 4.01/4.17 tff(633,plain,
% 4.01/4.17 ((~v933(constB8)) | v935(constB9)),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[632, 347, 134])).
% 4.01/4.17 tff(634,plain,
% 4.01/4.17 (~v933(constB8)),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[633, 629])).
% 4.01/4.17 tff(635,plain,
% 4.01/4.17 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB8) | v933(constB8))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB8) | v933(constB8))),
% 4.01/4.17 inference(rewrite,[status(thm)],[])).
% 4.01/4.17 tff(636,plain,
% 4.01/4.17 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB8) | v933(constB8))),
% 4.01/4.17 inference(quant_inst,[status(thm)],[])).
% 4.01/4.17 tff(637,plain,
% 4.01/4.17 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB8) | v933(constB8)),
% 4.01/4.17 inference(modus_ponens,[status(thm)],[636, 635])).
% 4.01/4.17 tff(638,plain,
% 4.01/4.17 (v16(constB8)),
% 4.01/4.17 inference(unit_resolution,[status(thm)],[637, 382, 634])).
% 4.01/4.17 tff(639,plain,
% 4.01/4.17 (^[VarCurr: $i] : refl((v6(VarCurr, bitIndex0) | (~v918(VarCurr))) <=> (v6(VarCurr, bitIndex0) | (~v918(VarCurr))))),
% 4.01/4.17 inference(bind,[status(th)],[])).
% 4.01/4.17 tff(640,plain,
% 4.01/4.17 (![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr))) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))),
% 4.01/4.17 inference(quant_intro,[status(thm)],[639])).
% 4.01/4.17 tff(641,plain,
% 4.01/4.17 (![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr))) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))),
% 4.01/4.17 inference(rewrite,[status(thm)],[])).
% 4.01/4.17 tff(642,axiom,(![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9918')).
% 4.01/4.17 tff(643,plain,
% 4.01/4.17 (![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))),
% 4.01/4.17 inference(modus_ponens,[status(thm)],[642, 641])).
% 4.01/4.17 tff(644,plain,(
% 4.01/4.17 ![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))),
% 4.01/4.17 inference(skolemize,[status(sab)],[643])).
% 4.01/4.17 tff(645,plain,
% 4.01/4.17 (![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))),
% 4.01/4.17 inference(modus_ponens,[status(thm)],[644, 640])).
% 4.01/4.17 tff(646,plain,
% 4.01/4.17 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB9, bitIndex0) | (~v918(constB9)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB9, bitIndex0) | (~v918(constB9)))),
% 4.01/4.17 inference(rewrite,[status(thm)],[])).
% 4.01/4.17 tff(647,plain,
% 4.01/4.17 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB9, bitIndex0) | (~v918(constB9)))),
% 4.01/4.17 inference(quant_inst,[status(thm)],[])).
% 4.01/4.17 tff(648,plain,
% 4.01/4.17 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB9, bitIndex0) | (~v918(constB9))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[647, 646])).
% 4.01/4.18 tff(649,plain,
% 4.01/4.18 (~v918(constB9)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[648, 645, 596])).
% 4.01/4.18 tff(650,plain,
% 4.01/4.18 (v947(constB10) | (~v19(constB10, bitIndex1))),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[406, 400, 390])).
% 4.01/4.18 tff(651,plain,
% 4.01/4.18 (~v19(constB10, bitIndex1)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[650, 389])).
% 4.01/4.18 tff(652,assumption,(v6(constB10, bitIndex1)), introduced(assumption)).
% 4.01/4.18 tff(653,assumption,(~v19(constB10, bitIndex0)), introduced(assumption)).
% 4.01/4.18 tff(654,plain,
% 4.01/4.18 (^[VarCurr: $i] : refl(((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0)) <=> ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0)))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(655,plain,
% 4.01/4.18 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[654])).
% 4.01/4.18 tff(656,plain,
% 4.01/4.18 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(657,plain,
% 4.01/4.18 (^[VarCurr: $i] : trans(monotonicity(rewrite(((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr))) <=> ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)))), ((((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr))) | v19(VarCurr, bitIndex0)) <=> (((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr))) | v19(VarCurr, bitIndex0)))), rewrite((((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr))) | v19(VarCurr, bitIndex0)) <=> ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))), ((((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr))) | v19(VarCurr, bitIndex0)) <=> ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(658,plain,
% 4.01/4.18 (![VarCurr: $i] : (((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr))) | v19(VarCurr, bitIndex0)) <=> ![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[657])).
% 4.01/4.18 tff(659,axiom,(![VarCurr: $i] : (((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr))) | v19(VarCurr, bitIndex0))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9929')).
% 4.01/4.18 tff(660,plain,
% 4.01/4.18 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[659, 658])).
% 4.01/4.18 tff(661,plain,
% 4.01/4.18 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[660, 656])).
% 4.01/4.18 tff(662,plain,(
% 4.01/4.18 ![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))),
% 4.01/4.18 inference(skolemize,[status(sab)],[661])).
% 4.01/4.18 tff(663,plain,
% 4.01/4.18 (![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[662, 655])).
% 4.01/4.18 tff(664,plain,
% 4.01/4.18 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB10, bitIndex1)) | (~v702(constB10)) | v19(constB10, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB10, bitIndex1)) | (~v702(constB10)) | v19(constB10, bitIndex0))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(665,plain,
% 4.01/4.18 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB10, bitIndex1)) | (~v702(constB10)) | v19(constB10, bitIndex0))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(666,plain,
% 4.01/4.18 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB10, bitIndex1)) | (~v702(constB10)) | v19(constB10, bitIndex0)),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[665, 664])).
% 4.01/4.18 tff(667,plain,
% 4.01/4.18 ((~v6(constB10, bitIndex1)) | (~v702(constB10))),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[666, 663, 653])).
% 4.01/4.18 tff(668,plain,
% 4.01/4.18 (~v702(constB10)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[667, 652])).
% 4.01/4.18 tff(669,assumption,(~v19(constB10, bitIndex1)), introduced(assumption)).
% 4.01/4.18 tff(670,plain,
% 4.01/4.18 (^[VarCurr: $i] : refl((v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1)) <=> (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1)))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(671,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[670])).
% 4.01/4.18 tff(672,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(673,plain,
% 4.01/4.18 (^[VarCurr: $i] : trans(monotonicity(rewrite(((~v6(VarCurr, bitIndex1)) | v702(VarCurr)) <=> (v702(VarCurr) | (~v6(VarCurr, bitIndex1)))), ((((~v6(VarCurr, bitIndex1)) | v702(VarCurr)) | v19(VarCurr, bitIndex1)) <=> ((v702(VarCurr) | (~v6(VarCurr, bitIndex1))) | v19(VarCurr, bitIndex1)))), rewrite(((v702(VarCurr) | (~v6(VarCurr, bitIndex1))) | v19(VarCurr, bitIndex1)) <=> (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))), ((((~v6(VarCurr, bitIndex1)) | v702(VarCurr)) | v19(VarCurr, bitIndex1)) <=> (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(674,plain,
% 4.01/4.18 (![VarCurr: $i] : (((~v6(VarCurr, bitIndex1)) | v702(VarCurr)) | v19(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[673])).
% 4.01/4.18 tff(675,axiom,(![VarCurr: $i] : (((~v6(VarCurr, bitIndex1)) | v702(VarCurr)) | v19(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9914')).
% 4.01/4.18 tff(676,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[675, 674])).
% 4.01/4.18 tff(677,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[676, 672])).
% 4.01/4.18 tff(678,plain,(
% 4.01/4.18 ![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))),
% 4.01/4.18 inference(skolemize,[status(sab)],[677])).
% 4.01/4.18 tff(679,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[678, 671])).
% 4.01/4.18 tff(680,plain,
% 4.01/4.18 (((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB10) | (~v6(constB10, bitIndex1)) | v19(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB10) | (~v6(constB10, bitIndex1)) | v19(constB10, bitIndex1))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(681,plain,
% 4.01/4.18 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB10) | (~v6(constB10, bitIndex1)) | v19(constB10, bitIndex1))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(682,plain,
% 4.01/4.18 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB10) | (~v6(constB10, bitIndex1)) | v19(constB10, bitIndex1)),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[681, 680])).
% 4.01/4.18 tff(683,plain,
% 4.01/4.18 (v702(constB10) | (~v6(constB10, bitIndex1))),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[682, 679, 669])).
% 4.01/4.18 tff(684,plain,
% 4.01/4.18 ($false),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[683, 668, 652])).
% 4.01/4.18 tff(685,plain,((~v6(constB10, bitIndex1)) | v19(constB10, bitIndex1) | v19(constB10, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.18 tff(686,plain,
% 4.01/4.18 (~v6(constB10, bitIndex1)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[685, 651, 388])).
% 4.01/4.18 tff(687,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(688,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[687])).
% 4.01/4.18 tff(689,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(690,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v942(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(691,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v942(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[690])).
% 4.01/4.18 tff(692,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v942(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9866')).
% 4.01/4.18 tff(693,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[692, 691])).
% 4.01/4.18 tff(694,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[693, 689])).
% 4.01/4.18 tff(695,plain,(
% 4.01/4.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))),
% 4.01/4.18 inference(skolemize,[status(sab)],[694])).
% 4.01/4.18 tff(696,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[695, 688])).
% 4.01/4.18 tff(697,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB9, constB10)) | v1(constB10) | (~v942(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB9, constB10)) | v1(constB10) | (~v942(constB10)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(698,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB9, constB10)) | v1(constB10) | (~v942(constB10)))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(699,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB9, constB10)) | v1(constB10) | (~v942(constB10))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[698, 697])).
% 4.01/4.18 tff(700,plain,
% 4.01/4.18 (~v942(constB10)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[699, 696, 144, 151])).
% 4.01/4.18 tff(701,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext)))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(702,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[701])).
% 4.01/4.18 tff(703,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(704,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : rewrite(((v942(VarNext) | (~v941(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext)))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(705,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((v942(VarNext) | (~v941(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[704])).
% 4.01/4.18 tff(706,axiom,(![VarNext: $i, VarCurr: $i] : ((v942(VarNext) | (~v941(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9861')).
% 4.01/4.18 tff(707,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[706, 705])).
% 4.01/4.18 tff(708,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[707, 703])).
% 4.01/4.18 tff(709,plain,(
% 4.01/4.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))),
% 4.01/4.18 inference(skolemize,[status(sab)],[708])).
% 4.01/4.18 tff(710,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[709, 702])).
% 4.01/4.18 tff(711,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB9, constB10)) | v942(constB10) | (~v941(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB9, constB10)) | v942(constB10) | (~v941(constB10)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(712,plain,
% 4.01/4.18 (((~nextState(constB9, constB10)) | (~v941(constB10)) | v942(constB10)) <=> ((~nextState(constB9, constB10)) | v942(constB10) | (~v941(constB10)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(713,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB9, constB10)) | (~v941(constB10)) | v942(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB9, constB10)) | v942(constB10) | (~v941(constB10))))),
% 4.01/4.18 inference(monotonicity,[status(thm)],[712])).
% 4.01/4.18 tff(714,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB9, constB10)) | (~v941(constB10)) | v942(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB9, constB10)) | v942(constB10) | (~v941(constB10)))),
% 4.01/4.18 inference(transitivity,[status(thm)],[713, 711])).
% 4.01/4.18 tff(715,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB9, constB10)) | (~v941(constB10)) | v942(constB10))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(716,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB9, constB10)) | v942(constB10) | (~v941(constB10))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[715, 714])).
% 4.01/4.18 tff(717,plain,
% 4.01/4.18 (v942(constB10) | (~v941(constB10))),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[716, 710, 144])).
% 4.01/4.18 tff(718,plain,
% 4.01/4.18 (~v941(constB10)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[717, 700])).
% 4.01/4.18 tff(719,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1)) <=> ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1)))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(720,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[719])).
% 4.01/4.18 tff(721,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(722,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v6(VarNext, bitIndex1) | (~v6(VarCurr, bitIndex1))) <=> ((~v6(VarCurr, bitIndex1)) | v6(VarNext, bitIndex1))), (((v6(VarNext, bitIndex1) | (~v6(VarCurr, bitIndex1))) | v941(VarNext)) <=> (((~v6(VarCurr, bitIndex1)) | v6(VarNext, bitIndex1)) | v941(VarNext)))), rewrite((((~v6(VarCurr, bitIndex1)) | v6(VarNext, bitIndex1)) | v941(VarNext)) <=> ((~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))), (((v6(VarNext, bitIndex1) | (~v6(VarCurr, bitIndex1))) | v941(VarNext)) <=> ((~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1)))), ((((v6(VarNext, bitIndex1) | (~v6(VarCurr, bitIndex1))) | v941(VarNext)) | (~nextState(VarCurr, VarNext))) <=> (((~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))), ((((v6(VarNext, bitIndex1) | (~v6(VarCurr, bitIndex1))) | v941(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(723,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : (((v6(VarNext, bitIndex1) | (~v6(VarCurr, bitIndex1))) | v941(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[722])).
% 4.01/4.18 tff(724,axiom,(![VarNext: $i, VarCurr: $i] : (((v6(VarNext, bitIndex1) | (~v6(VarCurr, bitIndex1))) | v941(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9844')).
% 4.01/4.18 tff(725,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[724, 723])).
% 4.01/4.18 tff(726,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[725, 721])).
% 4.01/4.18 tff(727,plain,(
% 4.01/4.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))),
% 4.01/4.18 inference(skolemize,[status(sab)],[726])).
% 4.01/4.18 tff(728,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[727, 720])).
% 4.01/4.18 tff(729,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB9, bitIndex1)) | (~nextState(constB9, constB10)) | v941(constB10) | v6(constB10, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB9, bitIndex1)) | (~nextState(constB9, constB10)) | v941(constB10) | v6(constB10, bitIndex1))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(730,plain,
% 4.01/4.18 (((~nextState(constB9, constB10)) | (~v6(constB9, bitIndex1)) | v941(constB10) | v6(constB10, bitIndex1)) <=> ((~v6(constB9, bitIndex1)) | (~nextState(constB9, constB10)) | v941(constB10) | v6(constB10, bitIndex1))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(731,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v6(constB9, bitIndex1)) | v941(constB10) | v6(constB10, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB9, bitIndex1)) | (~nextState(constB9, constB10)) | v941(constB10) | v6(constB10, bitIndex1)))),
% 4.01/4.18 inference(monotonicity,[status(thm)],[730])).
% 4.01/4.18 tff(732,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v6(constB9, bitIndex1)) | v941(constB10) | v6(constB10, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB9, bitIndex1)) | (~nextState(constB9, constB10)) | v941(constB10) | v6(constB10, bitIndex1))),
% 4.01/4.18 inference(transitivity,[status(thm)],[731, 729])).
% 4.01/4.18 tff(733,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB9, constB10)) | (~v6(constB9, bitIndex1)) | v941(constB10) | v6(constB10, bitIndex1))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(734,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB9, bitIndex1)) | (~nextState(constB9, constB10)) | v941(constB10) | v6(constB10, bitIndex1)),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[733, 732])).
% 4.01/4.18 tff(735,plain,
% 4.01/4.18 ((~v6(constB9, bitIndex1)) | v941(constB10) | v6(constB10, bitIndex1)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[734, 728, 144])).
% 4.01/4.18 tff(736,plain,
% 4.01/4.18 ((~v6(constB9, bitIndex1)) | v6(constB10, bitIndex1)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[735, 718])).
% 4.01/4.18 tff(737,plain,
% 4.01/4.18 (~v6(constB9, bitIndex1)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[736, 686])).
% 4.01/4.18 tff(738,plain,
% 4.01/4.18 (^[VarCurr: $i] : refl((v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))) <=> (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(739,plain,
% 4.01/4.18 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[738])).
% 4.01/4.18 tff(740,plain,
% 4.01/4.18 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(741,plain,
% 4.01/4.18 (^[VarCurr: $i] : rewrite(((v918(VarCurr) | (~v19(VarCurr, bitIndex1))) | v6(VarCurr, bitIndex1)) <=> (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(742,plain,
% 4.01/4.18 (![VarCurr: $i] : ((v918(VarCurr) | (~v19(VarCurr, bitIndex1))) | v6(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[741])).
% 4.01/4.18 tff(743,axiom,(![VarCurr: $i] : ((v918(VarCurr) | (~v19(VarCurr, bitIndex1))) | v6(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9911')).
% 4.01/4.18 tff(744,plain,
% 4.01/4.18 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[743, 742])).
% 4.01/4.18 tff(745,plain,
% 4.01/4.18 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[744, 740])).
% 4.01/4.18 tff(746,plain,(
% 4.01/4.18 ![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.01/4.18 inference(skolemize,[status(sab)],[745])).
% 4.01/4.18 tff(747,plain,
% 4.01/4.18 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[746, 739])).
% 4.01/4.18 tff(748,plain,
% 4.01/4.18 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB9, bitIndex1) | (~v19(constB9, bitIndex1)) | v918(constB9))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB9, bitIndex1) | (~v19(constB9, bitIndex1)) | v918(constB9))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(749,plain,
% 4.01/4.18 ((v6(constB9, bitIndex1) | v918(constB9) | (~v19(constB9, bitIndex1))) <=> (v6(constB9, bitIndex1) | (~v19(constB9, bitIndex1)) | v918(constB9))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(750,plain,
% 4.01/4.18 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB9, bitIndex1) | v918(constB9) | (~v19(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB9, bitIndex1) | (~v19(constB9, bitIndex1)) | v918(constB9)))),
% 4.01/4.18 inference(monotonicity,[status(thm)],[749])).
% 4.01/4.18 tff(751,plain,
% 4.01/4.18 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB9, bitIndex1) | v918(constB9) | (~v19(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB9, bitIndex1) | (~v19(constB9, bitIndex1)) | v918(constB9))),
% 4.01/4.18 inference(transitivity,[status(thm)],[750, 748])).
% 4.01/4.18 tff(752,plain,
% 4.01/4.18 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB9, bitIndex1) | v918(constB9) | (~v19(constB9, bitIndex1)))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(753,plain,
% 4.01/4.18 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB9, bitIndex1) | (~v19(constB9, bitIndex1)) | v918(constB9)),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[752, 751])).
% 4.01/4.18 tff(754,plain,
% 4.01/4.18 (~v19(constB9, bitIndex1)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[753, 747, 737, 649])).
% 4.01/4.18 tff(755,assumption,(v6(constB8, bitIndex0)), introduced(assumption)).
% 4.01/4.18 tff(756,assumption,(~v19(constB9, bitIndex1)), introduced(assumption)).
% 4.01/4.18 tff(757,assumption,(v6(constB9, bitIndex1)), introduced(assumption)).
% 4.01/4.18 tff(758,plain,
% 4.01/4.18 (v6(constB10, bitIndex1)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[736, 757])).
% 4.01/4.18 tff(759,plain,
% 4.01/4.18 (~v702(constB10)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[667, 758])).
% 4.01/4.18 tff(760,plain,
% 4.01/4.18 (^[VarCurr: $i] : refl((v702(VarCurr) | (~v64(VarCurr, bitIndex4))) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex4))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(761,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[760])).
% 4.01/4.18 tff(762,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(763,plain,
% 4.01/4.18 (^[VarCurr: $i] : rewrite(((~v64(VarCurr, bitIndex4)) | v702(VarCurr)) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex4))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(764,plain,
% 4.01/4.18 (![VarCurr: $i] : ((~v64(VarCurr, bitIndex4)) | v702(VarCurr)) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[763])).
% 4.01/4.18 tff(765,axiom,(![VarCurr: $i] : ((~v64(VarCurr, bitIndex4)) | v702(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10498')).
% 4.01/4.18 tff(766,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[765, 764])).
% 4.01/4.18 tff(767,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[766, 762])).
% 4.01/4.18 tff(768,plain,(
% 4.01/4.18 ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))),
% 4.01/4.18 inference(skolemize,[status(sab)],[767])).
% 4.01/4.18 tff(769,plain,
% 4.01/4.18 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[768, 761])).
% 4.01/4.18 tff(770,plain,
% 4.01/4.18 (((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))) | (v702(constB10) | (~v64(constB10, bitIndex4)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))) | v702(constB10) | (~v64(constB10, bitIndex4)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(771,plain,
% 4.01/4.18 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))) | (v702(constB10) | (~v64(constB10, bitIndex4)))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(772,plain,
% 4.01/4.18 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex4)))) | v702(constB10) | (~v64(constB10, bitIndex4))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[771, 770])).
% 4.01/4.18 tff(773,plain,
% 4.01/4.18 (~v64(constB10, bitIndex4)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[772, 769, 759])).
% 4.01/4.18 tff(774,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(775,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[774])).
% 4.01/4.18 tff(776,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(777,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v794(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(778,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v794(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[777])).
% 4.01/4.18 tff(779,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v794(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10255')).
% 4.01/4.18 tff(780,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[779, 778])).
% 4.01/4.18 tff(781,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[780, 776])).
% 4.01/4.18 tff(782,plain,(
% 4.01/4.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))),
% 4.01/4.18 inference(skolemize,[status(sab)],[781])).
% 4.01/4.18 tff(783,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[782, 775])).
% 4.01/4.18 tff(784,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))) | ((~nextState(constB9, constB10)) | v1(constB10) | (~v794(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))) | (~nextState(constB9, constB10)) | v1(constB10) | (~v794(constB10)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(785,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))) | ((~nextState(constB9, constB10)) | v1(constB10) | (~v794(constB10)))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(786,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v794(VarNext)))) | (~nextState(constB9, constB10)) | v1(constB10) | (~v794(constB10))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[785, 784])).
% 4.01/4.18 tff(787,plain,
% 4.01/4.18 (~v794(constB10)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[786, 783, 144, 151])).
% 4.01/4.18 tff(788,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext)))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(789,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[788])).
% 4.01/4.18 tff(790,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(791,plain,
% 4.01/4.18 (^[VarNext: $i, VarCurr: $i] : rewrite(((v794(VarNext) | (~v793(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext)))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(792,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((v794(VarNext) | (~v793(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[791])).
% 4.01/4.18 tff(793,axiom,(![VarNext: $i, VarCurr: $i] : ((v794(VarNext) | (~v793(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10250')).
% 4.01/4.18 tff(794,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[793, 792])).
% 4.01/4.18 tff(795,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[794, 790])).
% 4.01/4.18 tff(796,plain,(
% 4.01/4.18 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))),
% 4.01/4.18 inference(skolemize,[status(sab)],[795])).
% 4.01/4.18 tff(797,plain,
% 4.01/4.18 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[796, 789])).
% 4.01/4.18 tff(798,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))) | ((~nextState(constB9, constB10)) | v794(constB10) | (~v793(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))) | (~nextState(constB9, constB10)) | v794(constB10) | (~v793(constB10)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(799,plain,
% 4.01/4.18 (((~nextState(constB9, constB10)) | (~v793(constB10)) | v794(constB10)) <=> ((~nextState(constB9, constB10)) | v794(constB10) | (~v793(constB10)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(800,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))) | ((~nextState(constB9, constB10)) | (~v793(constB10)) | v794(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))) | ((~nextState(constB9, constB10)) | v794(constB10) | (~v793(constB10))))),
% 4.01/4.18 inference(monotonicity,[status(thm)],[799])).
% 4.01/4.18 tff(801,plain,
% 4.01/4.18 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))) | ((~nextState(constB9, constB10)) | (~v793(constB10)) | v794(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))) | (~nextState(constB9, constB10)) | v794(constB10) | (~v793(constB10)))),
% 4.01/4.18 inference(transitivity,[status(thm)],[800, 798])).
% 4.01/4.18 tff(802,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))) | ((~nextState(constB9, constB10)) | (~v793(constB10)) | v794(constB10))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(803,plain,
% 4.01/4.18 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v793(VarNext)) | v794(VarNext))) | (~nextState(constB9, constB10)) | v794(constB10) | (~v793(constB10))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[802, 801])).
% 4.01/4.18 tff(804,plain,
% 4.01/4.18 (v794(constB10) | (~v793(constB10))),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[803, 797, 144])).
% 4.01/4.18 tff(805,plain,
% 4.01/4.18 (~v793(constB10)),
% 4.01/4.18 inference(unit_resolution,[status(thm)],[804, 787])).
% 4.01/4.18 tff(806,plain,
% 4.01/4.18 (^[B: $i, VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B))) <=> ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(807,plain,
% 4.01/4.18 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[806])).
% 4.01/4.18 tff(808,plain,
% 4.01/4.18 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(809,plain,
% 4.01/4.18 (^[B: $i, VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v64(VarNext, B) | (~v64(VarCurr, B))) <=> (v64(VarNext, B) | (~v64(VarCurr, B)))), (((v64(VarNext, B) | (~v64(VarCurr, B))) | v793(VarNext)) <=> ((v64(VarNext, B) | (~v64(VarCurr, B))) | v793(VarNext)))), rewrite(((v64(VarNext, B) | (~v64(VarCurr, B))) | v793(VarNext)) <=> (v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))), (((v64(VarNext, B) | (~v64(VarCurr, B))) | v793(VarNext)) <=> (v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B))))), ((((v64(VarNext, B) | (~v64(VarCurr, B))) | v793(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B))) | (~nextState(VarCurr, VarNext))))), rewrite(((v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))), ((((v64(VarNext, B) | (~v64(VarCurr, B))) | v793(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))))),
% 4.01/4.18 inference(bind,[status(th)],[])).
% 4.01/4.18 tff(810,plain,
% 4.01/4.18 (![B: $i, VarNext: $i, VarCurr: $i] : (((v64(VarNext, B) | (~v64(VarCurr, B))) | v793(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))),
% 4.01/4.18 inference(quant_intro,[status(thm)],[809])).
% 4.01/4.18 tff(811,axiom,(![B: $i, VarNext: $i, VarCurr: $i] : (((v64(VarNext, B) | (~v64(VarCurr, B))) | v793(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10233')).
% 4.01/4.18 tff(812,plain,
% 4.01/4.18 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[811, 810])).
% 4.01/4.18 tff(813,plain,
% 4.01/4.18 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[812, 808])).
% 4.01/4.18 tff(814,plain,(
% 4.01/4.18 ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))),
% 4.01/4.18 inference(skolemize,[status(sab)],[813])).
% 4.01/4.18 tff(815,plain,
% 4.01/4.18 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))),
% 4.01/4.18 inference(modus_ponens,[status(thm)],[814, 807])).
% 4.01/4.18 tff(816,plain,
% 4.01/4.18 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex4) | (~v64(constB9, bitIndex4)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex4) | (~v64(constB9, bitIndex4)))),
% 4.01/4.18 inference(rewrite,[status(thm)],[])).
% 4.01/4.18 tff(817,plain,
% 4.01/4.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex4) | (~v64(constB9, bitIndex4)))),
% 4.01/4.18 inference(quant_inst,[status(thm)],[])).
% 4.01/4.18 tff(818,plain,
% 4.01/4.18 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex4) | (~v64(constB9, bitIndex4))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[817, 816])).
% 4.01/4.19 tff(819,plain,
% 4.01/4.19 (~v64(constB9, bitIndex4)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[818, 815, 144, 805, 773])).
% 4.01/4.19 tff(820,plain,
% 4.01/4.19 (^[VarCurr: $i] : refl((v702(VarCurr) | (~v64(VarCurr, bitIndex2))) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex2))))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(821,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[820])).
% 4.01/4.19 tff(822,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(823,plain,
% 4.01/4.19 (^[VarCurr: $i] : rewrite(((~v64(VarCurr, bitIndex2)) | v702(VarCurr)) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex2))))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(824,plain,
% 4.01/4.19 (![VarCurr: $i] : ((~v64(VarCurr, bitIndex2)) | v702(VarCurr)) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[823])).
% 4.01/4.19 tff(825,axiom,(![VarCurr: $i] : ((~v64(VarCurr, bitIndex2)) | v702(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10496')).
% 4.01/4.19 tff(826,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[825, 824])).
% 4.01/4.19 tff(827,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[826, 822])).
% 4.01/4.19 tff(828,plain,(
% 4.01/4.19 ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))),
% 4.01/4.19 inference(skolemize,[status(sab)],[827])).
% 4.01/4.19 tff(829,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[828, 821])).
% 4.01/4.19 tff(830,plain,
% 4.01/4.19 (((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))) | (v702(constB10) | (~v64(constB10, bitIndex2)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))) | v702(constB10) | (~v64(constB10, bitIndex2)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(831,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))) | (v702(constB10) | (~v64(constB10, bitIndex2)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(832,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex2)))) | v702(constB10) | (~v64(constB10, bitIndex2))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[831, 830])).
% 4.01/4.19 tff(833,plain,
% 4.01/4.19 (~v64(constB10, bitIndex2)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[832, 829, 759])).
% 4.01/4.19 tff(834,plain,
% 4.01/4.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex2) | (~v64(constB9, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex2) | (~v64(constB9, bitIndex2)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(835,plain,
% 4.01/4.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex2) | (~v64(constB9, bitIndex2)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(836,plain,
% 4.01/4.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex2) | (~v64(constB9, bitIndex2))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[835, 834])).
% 4.01/4.19 tff(837,plain,
% 4.01/4.19 (~v64(constB9, bitIndex2)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[836, 815, 144, 805, 833])).
% 4.01/4.19 tff(838,plain,
% 4.01/4.19 (^[VarCurr: $i] : refl((v702(VarCurr) | (~v64(VarCurr, bitIndex3))) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex3))))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(839,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[838])).
% 4.01/4.19 tff(840,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(841,plain,
% 4.01/4.19 (^[VarCurr: $i] : rewrite(((~v64(VarCurr, bitIndex3)) | v702(VarCurr)) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex3))))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(842,plain,
% 4.01/4.19 (![VarCurr: $i] : ((~v64(VarCurr, bitIndex3)) | v702(VarCurr)) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[841])).
% 4.01/4.19 tff(843,axiom,(![VarCurr: $i] : ((~v64(VarCurr, bitIndex3)) | v702(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10497')).
% 4.01/4.19 tff(844,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[843, 842])).
% 4.01/4.19 tff(845,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[844, 840])).
% 4.01/4.19 tff(846,plain,(
% 4.01/4.19 ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))),
% 4.01/4.19 inference(skolemize,[status(sab)],[845])).
% 4.01/4.19 tff(847,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[846, 839])).
% 4.01/4.19 tff(848,plain,
% 4.01/4.19 (((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))) | (v702(constB10) | (~v64(constB10, bitIndex3)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))) | v702(constB10) | (~v64(constB10, bitIndex3)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(849,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))) | (v702(constB10) | (~v64(constB10, bitIndex3)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(850,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex3)))) | v702(constB10) | (~v64(constB10, bitIndex3))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[849, 848])).
% 4.01/4.19 tff(851,plain,
% 4.01/4.19 (~v64(constB10, bitIndex3)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[850, 847, 759])).
% 4.01/4.19 tff(852,plain,
% 4.01/4.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex3) | (~v64(constB9, bitIndex3)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex3) | (~v64(constB9, bitIndex3)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(853,plain,
% 4.01/4.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex3) | (~v64(constB9, bitIndex3)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(854,plain,
% 4.01/4.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex3) | (~v64(constB9, bitIndex3))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[853, 852])).
% 4.01/4.19 tff(855,plain,
% 4.01/4.19 (~v64(constB9, bitIndex3)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[854, 815, 144, 805, 851])).
% 4.01/4.19 tff(856,plain,
% 4.01/4.19 (^[VarCurr: $i] : refl((v702(VarCurr) | (~v64(VarCurr, bitIndex0))) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex0))))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(857,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[856])).
% 4.01/4.19 tff(858,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(859,plain,
% 4.01/4.19 (^[VarCurr: $i] : rewrite(((~v64(VarCurr, bitIndex0)) | v702(VarCurr)) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex0))))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(860,plain,
% 4.01/4.19 (![VarCurr: $i] : ((~v64(VarCurr, bitIndex0)) | v702(VarCurr)) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[859])).
% 4.01/4.19 tff(861,axiom,(![VarCurr: $i] : ((~v64(VarCurr, bitIndex0)) | v702(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10495')).
% 4.01/4.19 tff(862,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[861, 860])).
% 4.01/4.19 tff(863,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[862, 858])).
% 4.01/4.19 tff(864,plain,(
% 4.01/4.19 ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))),
% 4.01/4.19 inference(skolemize,[status(sab)],[863])).
% 4.01/4.19 tff(865,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[864, 857])).
% 4.01/4.19 tff(866,plain,
% 4.01/4.19 (((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))) | (v702(constB10) | (~v64(constB10, bitIndex0)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))) | v702(constB10) | (~v64(constB10, bitIndex0)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(867,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))) | (v702(constB10) | (~v64(constB10, bitIndex0)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(868,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex0)))) | v702(constB10) | (~v64(constB10, bitIndex0))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[867, 866])).
% 4.01/4.19 tff(869,plain,
% 4.01/4.19 (~v64(constB10, bitIndex0)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[868, 865, 759])).
% 4.01/4.19 tff(870,plain,
% 4.01/4.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex0) | (~v64(constB9, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex0) | (~v64(constB9, bitIndex0)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(871,plain,
% 4.01/4.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex0) | (~v64(constB9, bitIndex0)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(872,plain,
% 4.01/4.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex0) | (~v64(constB9, bitIndex0))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[871, 870])).
% 4.01/4.19 tff(873,plain,
% 4.01/4.19 (~v64(constB9, bitIndex0)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[872, 815, 144, 805, 869])).
% 4.01/4.19 tff(874,plain,
% 4.01/4.19 (^[VarCurr: $i] : refl((v702(VarCurr) | (~v64(VarCurr, bitIndex1))) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex1))))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(875,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[874])).
% 4.01/4.19 tff(876,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(877,plain,
% 4.01/4.19 (^[VarCurr: $i] : rewrite(((~v64(VarCurr, bitIndex1)) | v702(VarCurr)) <=> (v702(VarCurr) | (~v64(VarCurr, bitIndex1))))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(878,plain,
% 4.01/4.19 (![VarCurr: $i] : ((~v64(VarCurr, bitIndex1)) | v702(VarCurr)) <=> ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[877])).
% 4.01/4.19 tff(879,axiom,(![VarCurr: $i] : ((~v64(VarCurr, bitIndex1)) | v702(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10494')).
% 4.01/4.19 tff(880,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[879, 878])).
% 4.01/4.19 tff(881,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[880, 876])).
% 4.01/4.19 tff(882,plain,(
% 4.01/4.19 ![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))),
% 4.01/4.19 inference(skolemize,[status(sab)],[881])).
% 4.01/4.19 tff(883,plain,
% 4.01/4.19 (![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[882, 875])).
% 4.01/4.19 tff(884,plain,
% 4.01/4.19 (((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))) | (v702(constB10) | (~v64(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))) | v702(constB10) | (~v64(constB10, bitIndex1)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(885,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))) | (v702(constB10) | (~v64(constB10, bitIndex1)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(886,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v64(VarCurr, bitIndex1)))) | v702(constB10) | (~v64(constB10, bitIndex1))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[885, 884])).
% 4.01/4.19 tff(887,plain,
% 4.01/4.19 (~v64(constB10, bitIndex1)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[886, 883, 759])).
% 4.01/4.19 tff(888,plain,
% 4.01/4.19 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex1) | (~v64(constB9, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex1) | (~v64(constB9, bitIndex1)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(889,plain,
% 4.01/4.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | ((~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex1) | (~v64(constB9, bitIndex1)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(890,plain,
% 4.01/4.19 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v793(VarNext) | v64(VarNext, B) | (~v64(VarCurr, B)))) | (~nextState(constB9, constB10)) | v793(constB10) | v64(constB10, bitIndex1) | (~v64(constB9, bitIndex1))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[889, 888])).
% 4.01/4.19 tff(891,plain,
% 4.01/4.19 (~v64(constB9, bitIndex1)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[890, 815, 144, 805, 887])).
% 4.01/4.19 tff(892,plain,
% 4.01/4.19 (((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB9) | (~v6(constB9, bitIndex1)) | v19(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB9) | (~v6(constB9, bitIndex1)) | v19(constB9, bitIndex1))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(893,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB9) | (~v6(constB9, bitIndex1)) | v19(constB9, bitIndex1))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(894,plain,
% 4.01/4.19 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB9) | (~v6(constB9, bitIndex1)) | v19(constB9, bitIndex1)),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[893, 892])).
% 4.01/4.19 tff(895,plain,
% 4.01/4.19 (v702(constB9) | (~v6(constB9, bitIndex1))),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[894, 679, 756])).
% 4.01/4.19 tff(896,plain,
% 4.01/4.19 (v702(constB9)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[895, 757])).
% 4.01/4.19 tff(897,plain,
% 4.01/4.19 (^[VarCurr: $i] : refl(((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)) <=> ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(898,plain,
% 4.01/4.19 (![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)) <=> ![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[897])).
% 4.01/4.19 tff(899,plain,
% 4.01/4.19 (![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)) <=> ![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(900,plain,
% 4.01/4.19 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v702(VarCurr)) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex3)) <=> ((~v702(VarCurr)) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))), (((((~v702(VarCurr)) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex3)) | v64(VarCurr, bitIndex2)) <=> (((~v702(VarCurr)) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex2)))), rewrite((((~v702(VarCurr)) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex2)) <=> ((~v702(VarCurr)) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))), (((((~v702(VarCurr)) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex3)) | v64(VarCurr, bitIndex2)) <=> ((~v702(VarCurr)) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)))), ((((((~v702(VarCurr)) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex3)) | v64(VarCurr, bitIndex2)) | v64(VarCurr, bitIndex0)) <=> (((~v702(VarCurr)) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex0)))), rewrite((((~v702(VarCurr)) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex0)) <=> ((~v702(VarCurr)) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))), ((((((~v702(VarCurr)) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex3)) | v64(VarCurr, bitIndex2)) | v64(VarCurr, bitIndex0)) <=> ((~v702(VarCurr)) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)))), (((((((~v702(VarCurr)) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex3)) | v64(VarCurr, bitIndex2)) | v64(VarCurr, bitIndex0)) | v64(VarCurr, bitIndex1)) <=> (((~v702(VarCurr)) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex1)))), rewrite((((~v702(VarCurr)) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex1)) <=> ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))), (((((((~v702(VarCurr)) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex3)) | v64(VarCurr, bitIndex2)) | v64(VarCurr, bitIndex0)) | v64(VarCurr, bitIndex1)) <=> ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))))),
% 4.01/4.19 inference(bind,[status(th)],[])).
% 4.01/4.19 tff(901,plain,
% 4.01/4.19 (![VarCurr: $i] : ((((((~v702(VarCurr)) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex3)) | v64(VarCurr, bitIndex2)) | v64(VarCurr, bitIndex0)) | v64(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))),
% 4.01/4.19 inference(quant_intro,[status(thm)],[900])).
% 4.01/4.19 tff(902,axiom,(![VarCurr: $i] : ((((((~v702(VarCurr)) | v64(VarCurr, bitIndex4)) | v64(VarCurr, bitIndex3)) | v64(VarCurr, bitIndex2)) | v64(VarCurr, bitIndex0)) | v64(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10499')).
% 4.01/4.19 tff(903,plain,
% 4.01/4.19 (![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[902, 901])).
% 4.01/4.19 tff(904,plain,
% 4.01/4.19 (![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[903, 899])).
% 4.01/4.19 tff(905,plain,(
% 4.01/4.19 ![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))),
% 4.01/4.19 inference(skolemize,[status(sab)],[904])).
% 4.01/4.19 tff(906,plain,
% 4.01/4.19 (![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[905, 898])).
% 4.01/4.19 tff(907,plain,
% 4.01/4.19 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))) | ((~v702(constB9)) | v64(constB9, bitIndex0) | v64(constB9, bitIndex1) | v64(constB9, bitIndex3) | v64(constB9, bitIndex2) | v64(constB9, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))) | (~v702(constB9)) | v64(constB9, bitIndex0) | v64(constB9, bitIndex1) | v64(constB9, bitIndex3) | v64(constB9, bitIndex2) | v64(constB9, bitIndex4))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(908,plain,
% 4.01/4.19 (((~v702(constB9)) | v64(constB9, bitIndex1) | v64(constB9, bitIndex0) | v64(constB9, bitIndex2) | v64(constB9, bitIndex3) | v64(constB9, bitIndex4)) <=> ((~v702(constB9)) | v64(constB9, bitIndex0) | v64(constB9, bitIndex1) | v64(constB9, bitIndex3) | v64(constB9, bitIndex2) | v64(constB9, bitIndex4))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(909,plain,
% 4.01/4.19 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))) | ((~v702(constB9)) | v64(constB9, bitIndex1) | v64(constB9, bitIndex0) | v64(constB9, bitIndex2) | v64(constB9, bitIndex3) | v64(constB9, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))) | ((~v702(constB9)) | v64(constB9, bitIndex0) | v64(constB9, bitIndex1) | v64(constB9, bitIndex3) | v64(constB9, bitIndex2) | v64(constB9, bitIndex4)))),
% 4.01/4.19 inference(monotonicity,[status(thm)],[908])).
% 4.01/4.19 tff(910,plain,
% 4.01/4.19 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))) | ((~v702(constB9)) | v64(constB9, bitIndex1) | v64(constB9, bitIndex0) | v64(constB9, bitIndex2) | v64(constB9, bitIndex3) | v64(constB9, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))) | (~v702(constB9)) | v64(constB9, bitIndex0) | v64(constB9, bitIndex1) | v64(constB9, bitIndex3) | v64(constB9, bitIndex2) | v64(constB9, bitIndex4))),
% 4.01/4.19 inference(transitivity,[status(thm)],[909, 907])).
% 4.01/4.19 tff(911,plain,
% 4.01/4.19 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))) | ((~v702(constB9)) | v64(constB9, bitIndex1) | v64(constB9, bitIndex0) | v64(constB9, bitIndex2) | v64(constB9, bitIndex3) | v64(constB9, bitIndex4))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(912,plain,
% 4.01/4.19 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v64(VarCurr, bitIndex1) | v64(VarCurr, bitIndex0) | v64(VarCurr, bitIndex2) | v64(VarCurr, bitIndex3) | v64(VarCurr, bitIndex4))) | (~v702(constB9)) | v64(constB9, bitIndex0) | v64(constB9, bitIndex1) | v64(constB9, bitIndex3) | v64(constB9, bitIndex2) | v64(constB9, bitIndex4)),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[911, 910])).
% 4.01/4.19 tff(913,plain,
% 4.01/4.19 (v64(constB9, bitIndex0) | v64(constB9, bitIndex1) | v64(constB9, bitIndex3) | v64(constB9, bitIndex2) | v64(constB9, bitIndex4)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[912, 906, 896])).
% 4.01/4.19 tff(914,plain,
% 4.01/4.19 ($false),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[913, 891, 873, 855, 837, 819])).
% 4.01/4.19 tff(915,plain,((~v6(constB9, bitIndex1)) | v19(constB10, bitIndex0) | v19(constB9, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.19 tff(916,plain,
% 4.01/4.19 (~v6(constB9, bitIndex1)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[915, 756, 653])).
% 4.01/4.19 tff(917,plain,
% 4.01/4.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB8, constB9)) | v944(constB9) | v929(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB8, constB9)) | v944(constB9) | v929(constB9))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(918,plain,
% 4.01/4.19 (((~nextState(constB8, constB9)) | v929(constB9) | v944(constB9)) <=> ((~nextState(constB8, constB9)) | v944(constB9) | v929(constB9))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(919,plain,
% 4.01/4.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB8, constB9)) | v929(constB9) | v944(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB8, constB9)) | v944(constB9) | v929(constB9)))),
% 4.01/4.19 inference(monotonicity,[status(thm)],[918])).
% 4.01/4.19 tff(920,plain,
% 4.01/4.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB8, constB9)) | v929(constB9) | v944(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB8, constB9)) | v944(constB9) | v929(constB9))),
% 4.01/4.19 inference(transitivity,[status(thm)],[919, 917])).
% 4.01/4.19 tff(921,plain,
% 4.01/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB8, constB9)) | v929(constB9) | v944(constB9))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(922,plain,
% 4.01/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB8, constB9)) | v944(constB9) | v929(constB9)),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[921, 920])).
% 4.01/4.19 tff(923,plain,
% 4.01/4.19 (v944(constB9) | v929(constB9)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[922, 181, 134])).
% 4.01/4.19 tff(924,plain,
% 4.01/4.19 (v944(constB9)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[923, 603])).
% 4.01/4.19 tff(925,plain,
% 4.01/4.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB8, constB9)) | v942(constB9) | (~v1(constB9)) | (~v944(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB8, constB9)) | v942(constB9) | (~v1(constB9)) | (~v944(constB9)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(926,plain,
% 4.01/4.19 (((~nextState(constB8, constB9)) | (~v1(constB9)) | v942(constB9) | (~v944(constB9))) <=> ((~nextState(constB8, constB9)) | v942(constB9) | (~v1(constB9)) | (~v944(constB9)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(927,plain,
% 4.01/4.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB8, constB9)) | (~v1(constB9)) | v942(constB9) | (~v944(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB8, constB9)) | v942(constB9) | (~v1(constB9)) | (~v944(constB9))))),
% 4.01/4.19 inference(monotonicity,[status(thm)],[926])).
% 4.01/4.19 tff(928,plain,
% 4.01/4.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB8, constB9)) | (~v1(constB9)) | v942(constB9) | (~v944(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB8, constB9)) | v942(constB9) | (~v1(constB9)) | (~v944(constB9)))),
% 4.01/4.19 inference(transitivity,[status(thm)],[927, 925])).
% 4.01/4.19 tff(929,plain,
% 4.01/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB8, constB9)) | (~v1(constB9)) | v942(constB9) | (~v944(constB9)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(930,plain,
% 4.01/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB8, constB9)) | v942(constB9) | (~v1(constB9)) | (~v944(constB9))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[929, 928])).
% 4.01/4.19 tff(931,plain,
% 4.01/4.19 (v942(constB9) | (~v944(constB9))),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[930, 206, 134, 141])).
% 4.01/4.19 tff(932,plain,
% 4.01/4.19 (v942(constB9)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[931, 924])).
% 4.01/4.19 tff(933,plain,
% 4.01/4.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB8, constB9)) | v941(constB9) | (~v942(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB8, constB9)) | v941(constB9) | (~v942(constB9)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(934,plain,
% 4.01/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB8, constB9)) | v941(constB9) | (~v942(constB9)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(935,plain,
% 4.01/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB8, constB9)) | v941(constB9) | (~v942(constB9))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[934, 933])).
% 4.01/4.19 tff(936,plain,
% 4.01/4.19 (v941(constB9) | (~v942(constB9))),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[935, 224, 134])).
% 4.01/4.19 tff(937,plain,
% 4.01/4.19 (v941(constB9)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[936, 932])).
% 4.01/4.19 tff(938,plain,
% 4.01/4.19 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB9, bitIndex1) | (~v949(constB9)) | (~v941(constB9)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB9, bitIndex1) | (~v949(constB9)) | (~v941(constB9)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(939,plain,
% 4.01/4.19 ((v6(constB9, bitIndex1) | (~v941(constB9)) | (~v949(constB9))) <=> (v6(constB9, bitIndex1) | (~v949(constB9)) | (~v941(constB9)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(940,plain,
% 4.01/4.19 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB9, bitIndex1) | (~v941(constB9)) | (~v949(constB9)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB9, bitIndex1) | (~v949(constB9)) | (~v941(constB9))))),
% 4.01/4.19 inference(monotonicity,[status(thm)],[939])).
% 4.01/4.19 tff(941,plain,
% 4.01/4.19 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB9, bitIndex1) | (~v941(constB9)) | (~v949(constB9)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB9, bitIndex1) | (~v949(constB9)) | (~v941(constB9)))),
% 4.01/4.19 inference(transitivity,[status(thm)],[940, 938])).
% 4.01/4.19 tff(942,plain,
% 4.01/4.19 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB9, bitIndex1) | (~v941(constB9)) | (~v949(constB9)))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(943,plain,
% 4.01/4.19 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB9, bitIndex1) | (~v949(constB9)) | (~v941(constB9))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[942, 941])).
% 4.01/4.19 tff(944,plain,
% 4.01/4.19 (v6(constB9, bitIndex1) | (~v949(constB9))),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[943, 239, 937])).
% 4.01/4.19 tff(945,plain,
% 4.01/4.19 (~v949(constB9)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[944, 916])).
% 4.01/4.19 tff(946,plain,
% 4.01/4.19 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB8, constB9)) | (~v947(constB8)) | v949(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB8, constB9)) | (~v947(constB8)) | v949(constB9))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(947,plain,
% 4.01/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB8, constB9)) | (~v947(constB8)) | v949(constB9))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(948,plain,
% 4.01/4.19 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB8, constB9)) | (~v947(constB8)) | v949(constB9)),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[947, 946])).
% 4.01/4.19 tff(949,plain,
% 4.01/4.19 ((~v947(constB8)) | v949(constB9)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[948, 257, 134])).
% 4.01/4.19 tff(950,plain,
% 4.01/4.19 (~v947(constB8)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[949, 945])).
% 4.01/4.19 tff(951,assumption,(v16(constB8)), introduced(assumption)).
% 4.01/4.19 tff(952,plain,
% 4.01/4.19 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex1)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(953,plain,
% 4.01/4.19 (((~v16(constB8)) | (~v19(constB8, bitIndex1)) | v947(constB8)) <=> (v947(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex1)))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(954,plain,
% 4.01/4.19 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB8)) | (~v19(constB8, bitIndex1)) | v947(constB8))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex1))))),
% 4.01/4.19 inference(monotonicity,[status(thm)],[953])).
% 4.01/4.19 tff(955,plain,
% 4.01/4.19 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB8)) | (~v19(constB8, bitIndex1)) | v947(constB8))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex1)))),
% 4.01/4.19 inference(transitivity,[status(thm)],[954, 952])).
% 4.01/4.19 tff(956,plain,
% 4.01/4.19 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB8)) | (~v19(constB8, bitIndex1)) | v947(constB8))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(957,plain,
% 4.01/4.19 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex1))),
% 4.01/4.19 inference(modus_ponens,[status(thm)],[956, 955])).
% 4.01/4.19 tff(958,plain,
% 4.01/4.19 (v947(constB8) | (~v19(constB8, bitIndex1))),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[957, 400, 951])).
% 4.01/4.19 tff(959,plain,
% 4.01/4.19 (~v19(constB8, bitIndex1)),
% 4.01/4.19 inference(unit_resolution,[status(thm)],[958, 950])).
% 4.01/4.19 tff(960,plain,
% 4.01/4.19 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB8)) | v19(constB8, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB8)) | v19(constB8, bitIndex1))),
% 4.01/4.19 inference(rewrite,[status(thm)],[])).
% 4.01/4.19 tff(961,plain,
% 4.01/4.19 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB8)) | v19(constB8, bitIndex1))),
% 4.01/4.19 inference(quant_inst,[status(thm)],[])).
% 4.01/4.19 tff(962,plain,
% 4.01/4.19 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB8)) | v19(constB8, bitIndex1)),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[961, 960])).
% 4.01/4.20 tff(963,plain,
% 4.01/4.20 (~v918(constB8)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[962, 539, 959])).
% 4.01/4.20 tff(964,assumption,(~v911(constB8)), introduced(assumption)).
% 4.01/4.20 tff(965,assumption,(~v918(constB8)), introduced(assumption)).
% 4.01/4.20 tff(966,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex1)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(967,plain,
% 4.01/4.20 (((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex1)) | v918(constB8)) <=> ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex1)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(968,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex1)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex1))))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[967])).
% 4.01/4.20 tff(969,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex1)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex1)))),
% 4.01/4.20 inference(transitivity,[status(thm)],[968, 966])).
% 4.01/4.20 tff(970,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex1)) | v918(constB8))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(971,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex1))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[970, 969])).
% 4.01/4.20 tff(972,plain,
% 4.01/4.20 (v918(constB8) | (~v25(constB8, bitIndex1))),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[971, 431, 755])).
% 4.01/4.20 tff(973,plain,
% 4.01/4.20 (~v25(constB8, bitIndex1)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[972, 965])).
% 4.01/4.20 tff(974,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex0)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(975,plain,
% 4.01/4.20 (((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex0)) | v918(constB8)) <=> ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex0)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(976,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex0)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex0))))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[975])).
% 4.01/4.20 tff(977,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex0)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex0)))),
% 4.01/4.20 inference(transitivity,[status(thm)],[976, 974])).
% 4.01/4.20 tff(978,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex0)) | v918(constB8))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(979,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex0))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[978, 977])).
% 4.01/4.20 tff(980,plain,
% 4.01/4.20 (v918(constB8) | (~v25(constB8, bitIndex0))),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[979, 449, 755])).
% 4.01/4.20 tff(981,plain,
% 4.01/4.20 (~v25(constB8, bitIndex0)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[980, 965])).
% 4.01/4.20 tff(982,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex2)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(983,plain,
% 4.01/4.20 (((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex2)) | v918(constB8)) <=> ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex2)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(984,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex2)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex2))))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[983])).
% 4.01/4.20 tff(985,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex2)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex2)))),
% 4.01/4.20 inference(transitivity,[status(thm)],[984, 982])).
% 4.01/4.20 tff(986,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex2)) | v918(constB8))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(987,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex2))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[986, 985])).
% 4.01/4.20 tff(988,plain,
% 4.01/4.20 (v918(constB8) | (~v25(constB8, bitIndex2))),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[987, 467, 755])).
% 4.01/4.20 tff(989,plain,
% 4.01/4.20 (~v25(constB8, bitIndex2)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[988, 965])).
% 4.01/4.20 tff(990,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex4)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(991,plain,
% 4.01/4.20 (((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex4)) | v918(constB8)) <=> ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex4)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(992,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex4)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex4))))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[991])).
% 4.01/4.20 tff(993,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex4)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex4)))),
% 4.01/4.20 inference(transitivity,[status(thm)],[992, 990])).
% 4.01/4.20 tff(994,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex4)) | v918(constB8))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(995,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex4))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[994, 993])).
% 4.01/4.20 tff(996,plain,
% 4.01/4.20 (v918(constB8) | (~v25(constB8, bitIndex4))),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[995, 485, 755])).
% 4.01/4.20 tff(997,plain,
% 4.01/4.20 (~v25(constB8, bitIndex4)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[996, 965])).
% 4.01/4.20 tff(998,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex3)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(999,plain,
% 4.01/4.20 (((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex3)) | v918(constB8)) <=> ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex3)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1000,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex3)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex3))))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[999])).
% 4.01/4.20 tff(1001,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex3)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex3)))),
% 4.01/4.20 inference(transitivity,[status(thm)],[1000, 998])).
% 4.01/4.20 tff(1002,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB8, bitIndex0)) | (~v25(constB8, bitIndex3)) | v918(constB8))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(1003,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB8, bitIndex0)) | v918(constB8) | (~v25(constB8, bitIndex3))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1002, 1001])).
% 4.01/4.20 tff(1004,plain,
% 4.01/4.20 (v918(constB8) | (~v25(constB8, bitIndex3))),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1003, 503, 755])).
% 4.01/4.20 tff(1005,plain,
% 4.01/4.20 (~v25(constB8, bitIndex3)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1004, 965])).
% 4.01/4.20 tff(1006,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB8, bitIndex0)) | v911(constB8) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB8, bitIndex0)) | v911(constB8) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1007,plain,
% 4.01/4.20 (((~v6(constB8, bitIndex0)) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4) | v911(constB8)) <=> ((~v6(constB8, bitIndex0)) | v911(constB8) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1008,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB8, bitIndex0)) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4) | v911(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB8, bitIndex0)) | v911(constB8) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4)))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[1007])).
% 4.01/4.20 tff(1009,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB8, bitIndex0)) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4) | v911(constB8))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB8, bitIndex0)) | v911(constB8) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4))),
% 4.01/4.20 inference(transitivity,[status(thm)],[1008, 1006])).
% 4.01/4.20 tff(1010,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB8, bitIndex0)) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4) | v911(constB8))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(1011,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB8, bitIndex0)) | v911(constB8) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4)),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1010, 1009])).
% 4.01/4.20 tff(1012,plain,
% 4.01/4.20 (v911(constB8) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1011, 522, 755])).
% 4.01/4.20 tff(1013,plain,
% 4.01/4.20 ($false),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1012, 1005, 997, 989, 981, 973, 964])).
% 4.01/4.20 tff(1014,plain,(v918(constB8) | v911(constB8) | (~v6(constB8, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.01/4.20 tff(1015,plain,
% 4.01/4.20 (v911(constB8)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1014, 963, 755])).
% 4.01/4.20 tff(1016,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB8)) | v19(constB8, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB8)) | v19(constB8, bitIndex0))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1017,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB8)) | v19(constB8, bitIndex0))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(1018,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB8)) | v19(constB8, bitIndex0)),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1017, 1016])).
% 4.01/4.20 tff(1019,plain,
% 4.01/4.20 (v19(constB8, bitIndex0)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1018, 416, 1015])).
% 4.01/4.20 tff(1020,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex0)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1021,plain,
% 4.01/4.20 (((~v16(constB8)) | (~v19(constB8, bitIndex0)) | v933(constB8)) <=> (v933(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex0)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1022,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB8)) | (~v19(constB8, bitIndex0)) | v933(constB8))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex0))))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[1021])).
% 4.01/4.20 tff(1023,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB8)) | (~v19(constB8, bitIndex0)) | v933(constB8))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex0)))),
% 4.01/4.20 inference(transitivity,[status(thm)],[1022, 1020])).
% 4.01/4.20 tff(1024,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB8)) | (~v19(constB8, bitIndex0)) | v933(constB8))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(1025,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB8) | (~v16(constB8)) | (~v19(constB8, bitIndex0))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 4.01/4.20 tff(1026,plain,
% 4.01/4.20 (v933(constB8) | (~v19(constB8, bitIndex0))),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1025, 364, 951])).
% 4.01/4.20 tff(1027,plain,
% 4.01/4.20 (v933(constB8)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1026, 1019])).
% 4.01/4.20 tff(1028,plain,
% 4.01/4.20 (v935(constB9)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[633, 1027])).
% 4.01/4.20 tff(1029,plain,
% 4.01/4.20 (v6(constB9, bitIndex0)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[628, 1028])).
% 4.01/4.20 tff(1030,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB9)) | v19(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB9)) | v19(constB9, bitIndex1))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1031,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB9)) | v19(constB9, bitIndex1))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(1032,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB9)) | v19(constB9, bitIndex1)),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 4.01/4.20 tff(1033,plain,
% 4.01/4.20 (~v918(constB9)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1032, 539, 756])).
% 4.01/4.20 tff(1034,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex4)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1035,plain,
% 4.01/4.20 (((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex4)) | v918(constB9)) <=> ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex4)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1036,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex4)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex4))))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[1035])).
% 4.01/4.20 tff(1037,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex4)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex4)))),
% 4.01/4.20 inference(transitivity,[status(thm)],[1036, 1034])).
% 4.01/4.20 tff(1038,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex4)) | v918(constB9))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(1039,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex4))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 4.01/4.20 tff(1040,plain,
% 4.01/4.20 ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex4))),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1039, 485, 1033])).
% 4.01/4.20 tff(1041,plain,
% 4.01/4.20 (~v25(constB9, bitIndex4)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1040, 1029])).
% 4.01/4.20 tff(1042,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex3)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1043,plain,
% 4.01/4.20 (((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex3)) | v918(constB9)) <=> ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex3)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1044,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex3)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex3))))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[1043])).
% 4.01/4.20 tff(1045,plain,
% 4.01/4.20 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex3)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex3)))),
% 4.01/4.20 inference(transitivity,[status(thm)],[1044, 1042])).
% 4.01/4.20 tff(1046,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex3)) | v918(constB9))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(1047,plain,
% 4.01/4.20 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex3))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1046, 1045])).
% 4.01/4.20 tff(1048,plain,
% 4.01/4.20 ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex3))),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1047, 503, 1033])).
% 4.01/4.20 tff(1049,plain,
% 4.01/4.20 (~v25(constB9, bitIndex3)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1048, 1029])).
% 4.01/4.20 tff(1050,assumption,(~v25(constB9, bitIndex3)), introduced(assumption)).
% 4.01/4.20 tff(1051,assumption,(v25(constB10, bitIndex3)), introduced(assumption)).
% 4.01/4.20 tff(1052,plain,
% 4.01/4.20 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext))))),
% 4.01/4.20 inference(bind,[status(th)],[])).
% 4.01/4.20 tff(1053,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))),
% 4.01/4.20 inference(quant_intro,[status(thm)],[1052])).
% 4.01/4.20 tff(1054,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1055,plain,
% 4.01/4.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarNext) | (~v895(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext))))),
% 4.01/4.20 inference(bind,[status(th)],[])).
% 4.01/4.20 tff(1056,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v895(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))),
% 4.01/4.20 inference(quant_intro,[status(thm)],[1055])).
% 4.01/4.20 tff(1057,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarNext) | (~v895(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9965')).
% 4.01/4.20 tff(1058,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 4.01/4.20 tff(1059,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1058, 1054])).
% 4.01/4.20 tff(1060,plain,(
% 4.01/4.20 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))),
% 4.01/4.20 inference(skolemize,[status(sab)],[1059])).
% 4.01/4.20 tff(1061,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1060, 1053])).
% 4.01/4.20 tff(1062,plain,
% 4.01/4.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB9, constB10)) | v1(constB10) | (~v895(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB9, constB10)) | v1(constB10) | (~v895(constB10)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1063,plain,
% 4.01/4.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB9, constB10)) | v1(constB10) | (~v895(constB10)))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(1064,plain,
% 4.01/4.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB9, constB10)) | v1(constB10) | (~v895(constB10))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1063, 1062])).
% 4.01/4.20 tff(1065,plain,
% 4.01/4.20 (~v895(constB10)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1064, 1061, 144, 151])).
% 4.01/4.20 tff(1066,plain,
% 4.01/4.20 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext)))),
% 4.01/4.20 inference(bind,[status(th)],[])).
% 4.01/4.20 tff(1067,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))),
% 4.01/4.20 inference(quant_intro,[status(thm)],[1066])).
% 4.01/4.20 tff(1068,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1069,plain,
% 4.01/4.20 (^[VarNext: $i, VarCurr: $i] : rewrite(((v895(VarNext) | (~v894(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext)))),
% 4.01/4.20 inference(bind,[status(th)],[])).
% 4.01/4.20 tff(1070,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((v895(VarNext) | (~v894(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))),
% 4.01/4.20 inference(quant_intro,[status(thm)],[1069])).
% 4.01/4.20 tff(1071,axiom,(![VarNext: $i, VarCurr: $i] : ((v895(VarNext) | (~v894(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9960')).
% 4.01/4.20 tff(1072,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 4.01/4.20 tff(1073,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1072, 1068])).
% 4.01/4.20 tff(1074,plain,(
% 4.01/4.20 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))),
% 4.01/4.20 inference(skolemize,[status(sab)],[1073])).
% 4.01/4.20 tff(1075,plain,
% 4.01/4.20 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1074, 1067])).
% 4.01/4.20 tff(1076,plain,
% 4.01/4.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB9, constB10)) | v895(constB10) | (~v894(constB10)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB9, constB10)) | v895(constB10) | (~v894(constB10)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1077,plain,
% 4.01/4.20 (((~nextState(constB9, constB10)) | (~v894(constB10)) | v895(constB10)) <=> ((~nextState(constB9, constB10)) | v895(constB10) | (~v894(constB10)))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1078,plain,
% 4.01/4.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB9, constB10)) | (~v894(constB10)) | v895(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB9, constB10)) | v895(constB10) | (~v894(constB10))))),
% 4.01/4.20 inference(monotonicity,[status(thm)],[1077])).
% 4.01/4.20 tff(1079,plain,
% 4.01/4.20 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB9, constB10)) | (~v894(constB10)) | v895(constB10))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB9, constB10)) | v895(constB10) | (~v894(constB10)))),
% 4.01/4.20 inference(transitivity,[status(thm)],[1078, 1076])).
% 4.01/4.20 tff(1080,plain,
% 4.01/4.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB9, constB10)) | (~v894(constB10)) | v895(constB10))),
% 4.01/4.20 inference(quant_inst,[status(thm)],[])).
% 4.01/4.20 tff(1081,plain,
% 4.01/4.20 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB9, constB10)) | v895(constB10) | (~v894(constB10))),
% 4.01/4.20 inference(modus_ponens,[status(thm)],[1080, 1079])).
% 4.01/4.20 tff(1082,plain,
% 4.01/4.20 (v895(constB10) | (~v894(constB10))),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1081, 1075, 144])).
% 4.01/4.20 tff(1083,plain,
% 4.01/4.20 (~v894(constB10)),
% 4.01/4.20 inference(unit_resolution,[status(thm)],[1082, 1065])).
% 4.01/4.20 tff(1084,plain,
% 4.01/4.20 (^[B: $i, VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B)) <=> ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B)))),
% 4.01/4.20 inference(bind,[status(th)],[])).
% 4.01/4.20 tff(1085,plain,
% 4.01/4.20 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B)) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))),
% 4.01/4.20 inference(quant_intro,[status(thm)],[1084])).
% 4.01/4.20 tff(1086,plain,
% 4.01/4.20 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B)) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))),
% 4.01/4.20 inference(rewrite,[status(thm)],[])).
% 4.01/4.20 tff(1087,plain,
% 4.01/4.20 (^[B: $i, VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v25(VarCurr, B) | (~v25(VarNext, B))) <=> ((~v25(VarNext, B)) | v25(VarCurr, B))), (((v25(VarCurr, B) | (~v25(VarNext, B))) | v894(VarNext)) <=> (((~v25(VarNext, B)) | v25(VarCurr, B)) | v894(VarNext)))), rewrite((((~v25(VarNext, B)) | v25(VarCurr, B)) | v894(VarNext)) <=> (v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))), (((v25(VarCurr, B) | (~v25(VarNext, B))) | v894(VarNext)) <=> (v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B)))), ((((v25(VarCurr, B) | (~v25(VarNext, B))) | v894(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B)) | (~nextState(VarCurr, VarNext))))), rewrite(((v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))), ((((v25(VarCurr, B) | (~v25(VarNext, B))) | v894(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))))),
% 4.01/4.21 inference(bind,[status(th)],[])).
% 4.01/4.21 tff(1088,plain,
% 4.01/4.21 (![B: $i, VarNext: $i, VarCurr: $i] : (((v25(VarCurr, B) | (~v25(VarNext, B))) | v894(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))),
% 4.01/4.21 inference(quant_intro,[status(thm)],[1087])).
% 4.01/4.21 tff(1089,axiom,(![B: $i, VarNext: $i, VarCurr: $i] : (((v25(VarCurr, B) | (~v25(VarNext, B))) | v894(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9942')).
% 4.01/4.21 tff(1090,plain,
% 4.01/4.21 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 4.01/4.21 tff(1091,plain,
% 4.01/4.21 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1090, 1086])).
% 4.01/4.21 tff(1092,plain,(
% 4.01/4.21 ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))),
% 4.01/4.21 inference(skolemize,[status(sab)],[1091])).
% 4.01/4.21 tff(1093,plain,
% 4.01/4.21 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1092, 1085])).
% 4.01/4.21 tff(1094,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex3) | (~v25(constB10, bitIndex3)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex3) | (~v25(constB10, bitIndex3)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1095,plain,
% 4.01/4.21 (((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex3)) | v25(constB9, bitIndex3)) <=> ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex3) | (~v25(constB10, bitIndex3)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1096,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex3)) | v25(constB9, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex3) | (~v25(constB10, bitIndex3))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1095])).
% 4.01/4.21 tff(1097,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex3)) | v25(constB9, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex3) | (~v25(constB10, bitIndex3)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1096, 1094])).
% 4.01/4.21 tff(1098,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex3)) | v25(constB9, bitIndex3))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1099,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex3) | (~v25(constB10, bitIndex3))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 4.01/4.21 tff(1100,plain,
% 4.01/4.21 ($false),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1099, 1093, 144, 1083, 1051, 1050])).
% 4.01/4.21 tff(1101,plain,((~v25(constB10, bitIndex3)) | v25(constB9, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.21 tff(1102,plain,
% 4.01/4.21 (~v25(constB10, bitIndex3)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1101, 1049])).
% 4.01/4.21 tff(1103,plain,
% 4.01/4.21 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex2)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1104,plain,
% 4.01/4.21 (((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex2)) | v918(constB9)) <=> ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex2)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1105,plain,
% 4.01/4.21 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex2)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex2))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1104])).
% 4.01/4.21 tff(1106,plain,
% 4.01/4.21 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex2)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex2)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1105, 1103])).
% 4.01/4.21 tff(1107,plain,
% 4.01/4.21 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex2)) | v918(constB9))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1108,plain,
% 4.01/4.21 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex2))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 4.01/4.21 tff(1109,plain,
% 4.01/4.21 ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex2))),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1108, 467, 1033])).
% 4.01/4.21 tff(1110,plain,
% 4.01/4.21 (~v25(constB9, bitIndex2)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1109, 1029])).
% 4.01/4.21 tff(1111,assumption,(~v25(constB9, bitIndex2)), introduced(assumption)).
% 4.01/4.21 tff(1112,assumption,(v25(constB10, bitIndex2)), introduced(assumption)).
% 4.01/4.21 tff(1113,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex2) | (~v25(constB10, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex2) | (~v25(constB10, bitIndex2)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1114,plain,
% 4.01/4.21 (((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex2)) | v25(constB9, bitIndex2)) <=> ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex2) | (~v25(constB10, bitIndex2)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1115,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex2)) | v25(constB9, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex2) | (~v25(constB10, bitIndex2))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1114])).
% 4.01/4.21 tff(1116,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex2)) | v25(constB9, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex2) | (~v25(constB10, bitIndex2)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1115, 1113])).
% 4.01/4.21 tff(1117,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex2)) | v25(constB9, bitIndex2))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1118,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex2) | (~v25(constB10, bitIndex2))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1117, 1116])).
% 4.01/4.21 tff(1119,plain,
% 4.01/4.21 ($false),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1118, 1093, 144, 1083, 1112, 1111])).
% 4.01/4.21 tff(1120,plain,((~v25(constB10, bitIndex2)) | v25(constB9, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.21 tff(1121,plain,
% 4.01/4.21 (~v25(constB10, bitIndex2)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1120, 1110])).
% 4.01/4.21 tff(1122,plain,
% 4.01/4.21 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex0)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1123,plain,
% 4.01/4.21 (((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex0)) | v918(constB9)) <=> ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex0)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1124,plain,
% 4.01/4.21 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex0)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex0))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1123])).
% 4.01/4.21 tff(1125,plain,
% 4.01/4.21 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex0)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex0)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1124, 1122])).
% 4.01/4.21 tff(1126,plain,
% 4.01/4.21 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex0)) | v918(constB9))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1127,plain,
% 4.01/4.21 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex0))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1126, 1125])).
% 4.01/4.21 tff(1128,plain,
% 4.01/4.21 ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex0))),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1127, 449, 1033])).
% 4.01/4.21 tff(1129,plain,
% 4.01/4.21 (~v25(constB9, bitIndex0)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1128, 1029])).
% 4.01/4.21 tff(1130,assumption,(~v25(constB9, bitIndex0)), introduced(assumption)).
% 4.01/4.21 tff(1131,assumption,(v25(constB10, bitIndex0)), introduced(assumption)).
% 4.01/4.21 tff(1132,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex0) | (~v25(constB10, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex0) | (~v25(constB10, bitIndex0)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1133,plain,
% 4.01/4.21 (((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex0)) | v25(constB9, bitIndex0)) <=> ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex0) | (~v25(constB10, bitIndex0)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1134,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex0)) | v25(constB9, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex0) | (~v25(constB10, bitIndex0))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1133])).
% 4.01/4.21 tff(1135,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex0)) | v25(constB9, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex0) | (~v25(constB10, bitIndex0)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1134, 1132])).
% 4.01/4.21 tff(1136,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex0)) | v25(constB9, bitIndex0))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1137,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex0) | (~v25(constB10, bitIndex0))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1136, 1135])).
% 4.01/4.21 tff(1138,plain,
% 4.01/4.21 ($false),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1137, 1093, 144, 1083, 1131, 1130])).
% 4.01/4.21 tff(1139,plain,((~v25(constB10, bitIndex0)) | v25(constB9, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.21 tff(1140,plain,
% 4.01/4.21 (~v25(constB10, bitIndex0)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1139, 1129])).
% 4.01/4.21 tff(1141,plain,
% 4.01/4.21 (v6(constB10, bitIndex0)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[595, 1029])).
% 4.01/4.21 tff(1142,plain,
% 4.01/4.21 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex1)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1143,plain,
% 4.01/4.21 (((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex1)) | v918(constB9)) <=> ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex1)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1144,plain,
% 4.01/4.21 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex1)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex1))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1143])).
% 4.01/4.21 tff(1145,plain,
% 4.01/4.21 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex1)) | v918(constB9))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex1)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1144, 1142])).
% 4.01/4.21 tff(1146,plain,
% 4.01/4.21 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex1)) | v918(constB9))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1147,plain,
% 4.01/4.21 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB9, bitIndex0)) | v918(constB9) | (~v25(constB9, bitIndex1))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1146, 1145])).
% 4.01/4.21 tff(1148,plain,
% 4.01/4.21 ((~v6(constB9, bitIndex0)) | (~v25(constB9, bitIndex1))),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1147, 431, 1033])).
% 4.01/4.21 tff(1149,plain,
% 4.01/4.21 (~v25(constB9, bitIndex1)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1148, 1029])).
% 4.01/4.21 tff(1150,assumption,(~v25(constB9, bitIndex1)), introduced(assumption)).
% 4.01/4.21 tff(1151,assumption,(v25(constB10, bitIndex1)), introduced(assumption)).
% 4.01/4.21 tff(1152,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex1) | (~v25(constB10, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex1) | (~v25(constB10, bitIndex1)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1153,plain,
% 4.01/4.21 (((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex1)) | v25(constB9, bitIndex1)) <=> ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex1) | (~v25(constB10, bitIndex1)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1154,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex1)) | v25(constB9, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex1) | (~v25(constB10, bitIndex1))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1153])).
% 4.01/4.21 tff(1155,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex1)) | v25(constB9, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex1) | (~v25(constB10, bitIndex1)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1154, 1152])).
% 4.01/4.21 tff(1156,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex1)) | v25(constB9, bitIndex1))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1157,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex1) | (~v25(constB10, bitIndex1))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1156, 1155])).
% 4.01/4.21 tff(1158,plain,
% 4.01/4.21 ($false),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1157, 1093, 144, 1083, 1151, 1150])).
% 4.01/4.21 tff(1159,plain,((~v25(constB10, bitIndex1)) | v25(constB9, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.21 tff(1160,plain,
% 4.01/4.21 (~v25(constB10, bitIndex1)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1159, 1149])).
% 4.01/4.21 tff(1161,plain,
% 4.01/4.21 (~v911(constB10)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[419, 416, 653])).
% 4.01/4.21 tff(1162,plain,
% 4.01/4.21 ((~v6(constB10, bitIndex0)) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[528, 522, 1161])).
% 4.01/4.21 tff(1163,plain,
% 4.01/4.21 (v25(constB10, bitIndex4)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1162, 1160, 1141, 1140, 1121, 1102])).
% 4.01/4.21 tff(1164,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex4) | (~v25(constB10, bitIndex4)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex4) | (~v25(constB10, bitIndex4)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1165,plain,
% 4.01/4.21 (((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex4)) | v25(constB9, bitIndex4)) <=> ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex4) | (~v25(constB10, bitIndex4)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1166,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex4)) | v25(constB9, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex4) | (~v25(constB10, bitIndex4))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1165])).
% 4.01/4.21 tff(1167,plain,
% 4.01/4.21 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex4)) | v25(constB9, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex4) | (~v25(constB10, bitIndex4)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1166, 1164])).
% 4.01/4.21 tff(1168,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB9, constB10)) | v894(constB10) | (~v25(constB10, bitIndex4)) | v25(constB9, bitIndex4))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1169,plain,
% 4.01/4.21 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB9, constB10)) | v894(constB10) | v25(constB9, bitIndex4) | (~v25(constB10, bitIndex4))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 4.01/4.21 tff(1170,plain,
% 4.01/4.21 ($false),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1169, 1093, 144, 1083, 1163, 1041])).
% 4.01/4.21 tff(1171,plain,(v19(constB9, bitIndex1) | (~v16(constB8)) | (~v6(constB8, bitIndex0)) | v19(constB10, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.21 tff(1172,plain,
% 4.01/4.21 (~v6(constB8, bitIndex0)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1171, 754, 638, 388])).
% 4.01/4.21 tff(1173,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB7, constB8)) | v1(constB8) | (~v926(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB7, constB8)) | v1(constB8) | (~v926(constB8)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1174,plain,
% 4.01/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB7, constB8)) | v1(constB8) | (~v926(constB8)))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1175,plain,
% 4.01/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB7, constB8)) | v1(constB8) | (~v926(constB8))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1174, 1173])).
% 4.01/4.21 tff(1176,plain,
% 4.01/4.21 (~v926(constB8)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1175, 555, 124, 131])).
% 4.01/4.21 tff(1177,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB7, constB8)) | v926(constB8) | (~v925(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB7, constB8)) | v926(constB8) | (~v925(constB8)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1178,plain,
% 4.01/4.21 (((~nextState(constB7, constB8)) | (~v925(constB8)) | v926(constB8)) <=> ((~nextState(constB7, constB8)) | v926(constB8) | (~v925(constB8)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1179,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB7, constB8)) | (~v925(constB8)) | v926(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB7, constB8)) | v926(constB8) | (~v925(constB8))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1178])).
% 4.01/4.21 tff(1180,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB7, constB8)) | (~v925(constB8)) | v926(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB7, constB8)) | v926(constB8) | (~v925(constB8)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1179, 1177])).
% 4.01/4.21 tff(1181,plain,
% 4.01/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB7, constB8)) | (~v925(constB8)) | v926(constB8))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1182,plain,
% 4.01/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB7, constB8)) | v926(constB8) | (~v925(constB8))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 4.01/4.21 tff(1183,plain,
% 4.01/4.21 (v926(constB8) | (~v925(constB8))),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1182, 569, 124])).
% 4.01/4.21 tff(1184,plain,
% 4.01/4.21 (~v925(constB8)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1183, 1176])).
% 4.01/4.21 tff(1185,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB7, bitIndex0)) | (~nextState(constB7, constB8)) | v925(constB8) | v6(constB8, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB7, bitIndex0)) | (~nextState(constB7, constB8)) | v925(constB8) | v6(constB8, bitIndex0))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1186,plain,
% 4.01/4.21 (((~nextState(constB7, constB8)) | (~v6(constB7, bitIndex0)) | v925(constB8) | v6(constB8, bitIndex0)) <=> ((~v6(constB7, bitIndex0)) | (~nextState(constB7, constB8)) | v925(constB8) | v6(constB8, bitIndex0))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1187,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB7, constB8)) | (~v6(constB7, bitIndex0)) | v925(constB8) | v6(constB8, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB7, bitIndex0)) | (~nextState(constB7, constB8)) | v925(constB8) | v6(constB8, bitIndex0)))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1186])).
% 4.01/4.21 tff(1188,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB7, constB8)) | (~v6(constB7, bitIndex0)) | v925(constB8) | v6(constB8, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB7, bitIndex0)) | (~nextState(constB7, constB8)) | v925(constB8) | v6(constB8, bitIndex0))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1187, 1185])).
% 4.01/4.21 tff(1189,plain,
% 4.01/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB7, constB8)) | (~v6(constB7, bitIndex0)) | v925(constB8) | v6(constB8, bitIndex0))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1190,plain,
% 4.01/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB7, bitIndex0)) | (~nextState(constB7, constB8)) | v925(constB8) | v6(constB8, bitIndex0)),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 4.01/4.21 tff(1191,plain,
% 4.01/4.21 ((~v6(constB7, bitIndex0)) | v925(constB8) | v6(constB8, bitIndex0)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1190, 587, 124])).
% 4.01/4.21 tff(1192,plain,
% 4.01/4.21 ((~v6(constB7, bitIndex0)) | v6(constB8, bitIndex0)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1191, 1184])).
% 4.01/4.21 tff(1193,plain,
% 4.01/4.21 (~v6(constB7, bitIndex0)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1192, 1172])).
% 4.01/4.21 tff(1194,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB6) | (~nextState(constB6, constB7)) | (~v929(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB6) | (~nextState(constB6, constB7)) | (~v929(constB7)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1195,plain,
% 4.01/4.21 (((~nextState(constB6, constB7)) | v1(constB6) | (~v929(constB7))) <=> (v1(constB6) | (~nextState(constB6, constB7)) | (~v929(constB7)))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1196,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB6) | (~v929(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB6) | (~nextState(constB6, constB7)) | (~v929(constB7))))),
% 4.01/4.21 inference(monotonicity,[status(thm)],[1195])).
% 4.01/4.21 tff(1197,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB6) | (~v929(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB6) | (~nextState(constB6, constB7)) | (~v929(constB7)))),
% 4.01/4.21 inference(transitivity,[status(thm)],[1196, 1194])).
% 4.01/4.21 tff(1198,plain,
% 4.01/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB6) | (~v929(constB7)))),
% 4.01/4.21 inference(quant_inst,[status(thm)],[])).
% 4.01/4.21 tff(1199,plain,
% 4.01/4.21 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB6) | (~nextState(constB6, constB7)) | (~v929(constB7))),
% 4.01/4.21 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 4.01/4.21 tff(1200,plain,
% 4.01/4.21 (~v929(constB7)),
% 4.01/4.21 inference(unit_resolution,[status(thm)],[1199, 164, 114, 111])).
% 4.01/4.21 tff(1201,plain,
% 4.01/4.21 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB6, constB7)) | v929(constB7) | v927(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB6, constB7)) | v929(constB7) | v927(constB7))),
% 4.01/4.21 inference(rewrite,[status(thm)],[])).
% 4.01/4.21 tff(1202,plain,
% 4.01/4.21 (((~nextState(constB6, constB7)) | v927(constB7) | v929(constB7)) <=> ((~nextState(constB6, constB7)) | v929(constB7) | v927(constB7))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1203,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB6, constB7)) | v927(constB7) | v929(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB6, constB7)) | v929(constB7) | v927(constB7)))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1202])).
% 4.01/4.22 tff(1204,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB6, constB7)) | v927(constB7) | v929(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB6, constB7)) | v929(constB7) | v927(constB7))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1203, 1201])).
% 4.01/4.22 tff(1205,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB6, constB7)) | v927(constB7) | v929(constB7))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1206,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB6, constB7)) | v929(constB7) | v927(constB7)),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 4.01/4.22 tff(1207,plain,
% 4.01/4.22 (v929(constB7) | v927(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1206, 281, 114])).
% 4.01/4.22 tff(1208,plain,
% 4.01/4.22 (v927(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1207, 1200])).
% 4.01/4.22 tff(1209,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB6, constB7)) | (~v1(constB7)) | v926(constB7) | (~v927(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB6, constB7)) | (~v1(constB7)) | v926(constB7) | (~v927(constB7)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1210,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB6, constB7)) | (~v1(constB7)) | v926(constB7) | (~v927(constB7)))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1211,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB6, constB7)) | (~v1(constB7)) | v926(constB7) | (~v927(constB7))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1210, 1209])).
% 4.01/4.22 tff(1212,plain,
% 4.01/4.22 (v926(constB7) | (~v927(constB7))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1211, 299, 114, 121])).
% 4.01/4.22 tff(1213,plain,
% 4.01/4.22 (v926(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1212, 1208])).
% 4.01/4.22 tff(1214,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB6, constB7)) | v925(constB7) | (~v926(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB6, constB7)) | v925(constB7) | (~v926(constB7)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1215,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB6, constB7)) | v925(constB7) | (~v926(constB7)))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1216,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB6, constB7)) | v925(constB7) | (~v926(constB7))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 4.01/4.22 tff(1217,plain,
% 4.01/4.22 (v925(constB7) | (~v926(constB7))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1216, 314, 114])).
% 4.01/4.22 tff(1218,plain,
% 4.01/4.22 (v925(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1217, 1213])).
% 4.01/4.22 tff(1219,plain,
% 4.01/4.22 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB7, bitIndex0) | (~v935(constB7)) | (~v925(constB7)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB7, bitIndex0) | (~v935(constB7)) | (~v925(constB7)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1220,plain,
% 4.01/4.22 ((v6(constB7, bitIndex0) | (~v925(constB7)) | (~v935(constB7))) <=> (v6(constB7, bitIndex0) | (~v935(constB7)) | (~v925(constB7)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1221,plain,
% 4.01/4.22 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB7, bitIndex0) | (~v925(constB7)) | (~v935(constB7)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB7, bitIndex0) | (~v935(constB7)) | (~v925(constB7))))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1220])).
% 4.01/4.22 tff(1222,plain,
% 4.01/4.22 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB7, bitIndex0) | (~v925(constB7)) | (~v935(constB7)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB7, bitIndex0) | (~v935(constB7)) | (~v925(constB7)))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1221, 1219])).
% 4.01/4.22 tff(1223,plain,
% 4.01/4.22 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB7, bitIndex0) | (~v925(constB7)) | (~v935(constB7)))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1224,plain,
% 4.01/4.22 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB7, bitIndex0) | (~v935(constB7)) | (~v925(constB7))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1223, 1222])).
% 4.01/4.22 tff(1225,plain,
% 4.01/4.22 (v6(constB7, bitIndex0) | (~v935(constB7))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1224, 329, 1218])).
% 4.01/4.22 tff(1226,plain,
% 4.01/4.22 (~v935(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1225, 1193])).
% 4.01/4.22 tff(1227,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB6, constB7)) | (~v933(constB6)) | v935(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB6, constB7)) | (~v933(constB6)) | v935(constB7))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1228,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB6, constB7)) | (~v933(constB6)) | v935(constB7))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1229,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB6, constB7)) | (~v933(constB6)) | v935(constB7)),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 4.01/4.22 tff(1230,plain,
% 4.01/4.22 ((~v933(constB6)) | v935(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1229, 347, 114])).
% 4.01/4.22 tff(1231,plain,
% 4.01/4.22 (~v933(constB6)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1230, 1226])).
% 4.01/4.22 tff(1232,assumption,(~v933(constB8)), introduced(assumption)).
% 4.01/4.22 tff(1233,assumption,(v19(constB8, bitIndex0)), introduced(assumption)).
% 4.01/4.22 tff(1234,plain,
% 4.01/4.22 (v933(constB8) | (~v16(constB8))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1025, 364, 1233])).
% 4.01/4.22 tff(1235,plain,
% 4.01/4.22 (~v16(constB8)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1234, 1232])).
% 4.01/4.22 tff(1236,plain,
% 4.01/4.22 ($false),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[637, 382, 1232, 1235])).
% 4.01/4.22 tff(1237,plain,(v933(constB8) | (~v19(constB8, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.01/4.22 tff(1238,plain,
% 4.01/4.22 (~v19(constB8, bitIndex0)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1237, 634])).
% 4.01/4.22 tff(1239,plain,
% 4.01/4.22 (~v949(constB9)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[944, 737])).
% 4.01/4.22 tff(1240,plain,
% 4.01/4.22 (~v947(constB8)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[949, 1239])).
% 4.01/4.22 tff(1241,plain,
% 4.01/4.22 ((~v16(constB8)) | (~v19(constB8, bitIndex1))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[957, 400, 1240])).
% 4.01/4.22 tff(1242,plain,
% 4.01/4.22 (~v19(constB8, bitIndex1)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1241, 638])).
% 4.01/4.22 tff(1243,assumption,(v6(constB8, bitIndex1)), introduced(assumption)).
% 4.01/4.22 tff(1244,assumption,(~v19(constB8, bitIndex0)), introduced(assumption)).
% 4.01/4.22 tff(1245,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB8, bitIndex1)) | v19(constB8, bitIndex0) | (~v702(constB8)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB8, bitIndex1)) | v19(constB8, bitIndex0) | (~v702(constB8)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1246,plain,
% 4.01/4.22 (((~v6(constB8, bitIndex1)) | (~v702(constB8)) | v19(constB8, bitIndex0)) <=> ((~v6(constB8, bitIndex1)) | v19(constB8, bitIndex0) | (~v702(constB8)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1247,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB8, bitIndex1)) | (~v702(constB8)) | v19(constB8, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB8, bitIndex1)) | v19(constB8, bitIndex0) | (~v702(constB8))))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1246])).
% 4.01/4.22 tff(1248,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB8, bitIndex1)) | (~v702(constB8)) | v19(constB8, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB8, bitIndex1)) | v19(constB8, bitIndex0) | (~v702(constB8)))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1247, 1245])).
% 4.01/4.22 tff(1249,plain,
% 4.01/4.22 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB8, bitIndex1)) | (~v702(constB8)) | v19(constB8, bitIndex0))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1250,plain,
% 4.01/4.22 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB8, bitIndex1)) | v19(constB8, bitIndex0) | (~v702(constB8))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 4.01/4.22 tff(1251,plain,
% 4.01/4.22 ((~v6(constB8, bitIndex1)) | (~v702(constB8))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1250, 663, 1244])).
% 4.01/4.22 tff(1252,plain,
% 4.01/4.22 (~v702(constB8)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1251, 1243])).
% 4.01/4.22 tff(1253,assumption,(~v19(constB8, bitIndex1)), introduced(assumption)).
% 4.01/4.22 tff(1254,plain,
% 4.01/4.22 (((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB8) | (~v6(constB8, bitIndex1)) | v19(constB8, bitIndex1))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB8) | (~v6(constB8, bitIndex1)) | v19(constB8, bitIndex1))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1255,plain,
% 4.01/4.22 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB8) | (~v6(constB8, bitIndex1)) | v19(constB8, bitIndex1))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1256,plain,
% 4.01/4.22 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB8) | (~v6(constB8, bitIndex1)) | v19(constB8, bitIndex1)),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1255, 1254])).
% 4.01/4.22 tff(1257,plain,
% 4.01/4.22 (v702(constB8) | (~v6(constB8, bitIndex1))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1256, 679, 1253])).
% 4.01/4.22 tff(1258,plain,
% 4.01/4.22 ($false),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1257, 1252, 1243])).
% 4.01/4.22 tff(1259,plain,((~v6(constB8, bitIndex1)) | v19(constB8, bitIndex1) | v19(constB8, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.22 tff(1260,plain,
% 4.01/4.22 (~v6(constB8, bitIndex1)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1259, 1242, 1238])).
% 4.01/4.22 tff(1261,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB7, constB8)) | v1(constB8) | (~v942(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB7, constB8)) | v1(constB8) | (~v942(constB8)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1262,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB7, constB8)) | v1(constB8) | (~v942(constB8)))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1263,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB7, constB8)) | v1(constB8) | (~v942(constB8))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 4.01/4.22 tff(1264,plain,
% 4.01/4.22 (~v942(constB8)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1263, 696, 124, 131])).
% 4.01/4.22 tff(1265,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB7, constB8)) | v942(constB8) | (~v941(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB7, constB8)) | v942(constB8) | (~v941(constB8)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1266,plain,
% 4.01/4.22 (((~nextState(constB7, constB8)) | (~v941(constB8)) | v942(constB8)) <=> ((~nextState(constB7, constB8)) | v942(constB8) | (~v941(constB8)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1267,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB7, constB8)) | (~v941(constB8)) | v942(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB7, constB8)) | v942(constB8) | (~v941(constB8))))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1266])).
% 4.01/4.22 tff(1268,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB7, constB8)) | (~v941(constB8)) | v942(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB7, constB8)) | v942(constB8) | (~v941(constB8)))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1267, 1265])).
% 4.01/4.22 tff(1269,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB7, constB8)) | (~v941(constB8)) | v942(constB8))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1270,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB7, constB8)) | v942(constB8) | (~v941(constB8))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1269, 1268])).
% 4.01/4.22 tff(1271,plain,
% 4.01/4.22 (v942(constB8) | (~v941(constB8))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1270, 710, 124])).
% 4.01/4.22 tff(1272,plain,
% 4.01/4.22 (~v941(constB8)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1271, 1264])).
% 4.01/4.22 tff(1273,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB7, bitIndex1)) | (~nextState(constB7, constB8)) | v941(constB8) | v6(constB8, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB7, bitIndex1)) | (~nextState(constB7, constB8)) | v941(constB8) | v6(constB8, bitIndex1))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1274,plain,
% 4.01/4.22 (((~nextState(constB7, constB8)) | (~v6(constB7, bitIndex1)) | v941(constB8) | v6(constB8, bitIndex1)) <=> ((~v6(constB7, bitIndex1)) | (~nextState(constB7, constB8)) | v941(constB8) | v6(constB8, bitIndex1))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1275,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v6(constB7, bitIndex1)) | v941(constB8) | v6(constB8, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB7, bitIndex1)) | (~nextState(constB7, constB8)) | v941(constB8) | v6(constB8, bitIndex1)))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1274])).
% 4.01/4.22 tff(1276,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v6(constB7, bitIndex1)) | v941(constB8) | v6(constB8, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB7, bitIndex1)) | (~nextState(constB7, constB8)) | v941(constB8) | v6(constB8, bitIndex1))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1275, 1273])).
% 4.01/4.22 tff(1277,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB7, constB8)) | (~v6(constB7, bitIndex1)) | v941(constB8) | v6(constB8, bitIndex1))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1278,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB7, bitIndex1)) | (~nextState(constB7, constB8)) | v941(constB8) | v6(constB8, bitIndex1)),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 4.01/4.22 tff(1279,plain,
% 4.01/4.22 ((~v6(constB7, bitIndex1)) | v941(constB8) | v6(constB8, bitIndex1)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1278, 728, 124])).
% 4.01/4.22 tff(1280,plain,
% 4.01/4.22 ((~v6(constB7, bitIndex1)) | v6(constB8, bitIndex1)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1279, 1272])).
% 4.01/4.22 tff(1281,plain,
% 4.01/4.22 (~v6(constB7, bitIndex1)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1280, 1260])).
% 4.01/4.22 tff(1282,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB6, constB7)) | v944(constB7) | v929(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB6, constB7)) | v944(constB7) | v929(constB7))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1283,plain,
% 4.01/4.22 (((~nextState(constB6, constB7)) | v929(constB7) | v944(constB7)) <=> ((~nextState(constB6, constB7)) | v944(constB7) | v929(constB7))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1284,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB6, constB7)) | v929(constB7) | v944(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB6, constB7)) | v944(constB7) | v929(constB7)))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1283])).
% 4.01/4.22 tff(1285,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB6, constB7)) | v929(constB7) | v944(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB6, constB7)) | v944(constB7) | v929(constB7))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1284, 1282])).
% 4.01/4.22 tff(1286,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB6, constB7)) | v929(constB7) | v944(constB7))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1287,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB6, constB7)) | v944(constB7) | v929(constB7)),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1286, 1285])).
% 4.01/4.22 tff(1288,plain,
% 4.01/4.22 (v944(constB7) | v929(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1287, 181, 114])).
% 4.01/4.22 tff(1289,plain,
% 4.01/4.22 (v944(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1288, 1200])).
% 4.01/4.22 tff(1290,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB6, constB7)) | v942(constB7) | (~v1(constB7)) | (~v944(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB6, constB7)) | v942(constB7) | (~v1(constB7)) | (~v944(constB7)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1291,plain,
% 4.01/4.22 (((~nextState(constB6, constB7)) | (~v1(constB7)) | v942(constB7) | (~v944(constB7))) <=> ((~nextState(constB6, constB7)) | v942(constB7) | (~v1(constB7)) | (~v944(constB7)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1292,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB6, constB7)) | (~v1(constB7)) | v942(constB7) | (~v944(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB6, constB7)) | v942(constB7) | (~v1(constB7)) | (~v944(constB7))))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1291])).
% 4.01/4.22 tff(1293,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB6, constB7)) | (~v1(constB7)) | v942(constB7) | (~v944(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB6, constB7)) | v942(constB7) | (~v1(constB7)) | (~v944(constB7)))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1292, 1290])).
% 4.01/4.22 tff(1294,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB6, constB7)) | (~v1(constB7)) | v942(constB7) | (~v944(constB7)))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1295,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB6, constB7)) | v942(constB7) | (~v1(constB7)) | (~v944(constB7))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1294, 1293])).
% 4.01/4.22 tff(1296,plain,
% 4.01/4.22 (v942(constB7) | (~v944(constB7))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1295, 206, 114, 121])).
% 4.01/4.22 tff(1297,plain,
% 4.01/4.22 (v942(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1296, 1289])).
% 4.01/4.22 tff(1298,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB6, constB7)) | v941(constB7) | (~v942(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB6, constB7)) | v941(constB7) | (~v942(constB7)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1299,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB6, constB7)) | v941(constB7) | (~v942(constB7)))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1300,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB6, constB7)) | v941(constB7) | (~v942(constB7))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 4.01/4.22 tff(1301,plain,
% 4.01/4.22 (v941(constB7) | (~v942(constB7))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1300, 224, 114])).
% 4.01/4.22 tff(1302,plain,
% 4.01/4.22 (v941(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1301, 1297])).
% 4.01/4.22 tff(1303,plain,
% 4.01/4.22 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB7, bitIndex1) | (~v949(constB7)) | (~v941(constB7)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB7, bitIndex1) | (~v949(constB7)) | (~v941(constB7)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1304,plain,
% 4.01/4.22 ((v6(constB7, bitIndex1) | (~v941(constB7)) | (~v949(constB7))) <=> (v6(constB7, bitIndex1) | (~v949(constB7)) | (~v941(constB7)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1305,plain,
% 4.01/4.22 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB7, bitIndex1) | (~v941(constB7)) | (~v949(constB7)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB7, bitIndex1) | (~v949(constB7)) | (~v941(constB7))))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1304])).
% 4.01/4.22 tff(1306,plain,
% 4.01/4.22 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB7, bitIndex1) | (~v941(constB7)) | (~v949(constB7)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB7, bitIndex1) | (~v949(constB7)) | (~v941(constB7)))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1305, 1303])).
% 4.01/4.22 tff(1307,plain,
% 4.01/4.22 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB7, bitIndex1) | (~v941(constB7)) | (~v949(constB7)))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1308,plain,
% 4.01/4.22 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB7, bitIndex1) | (~v949(constB7)) | (~v941(constB7))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1307, 1306])).
% 4.01/4.22 tff(1309,plain,
% 4.01/4.22 (v6(constB7, bitIndex1) | (~v949(constB7))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1308, 239, 1302])).
% 4.01/4.22 tff(1310,plain,
% 4.01/4.22 (~v949(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1309, 1281])).
% 4.01/4.22 tff(1311,plain,
% 4.01/4.22 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB6, constB7)) | (~v947(constB6)) | v949(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB6, constB7)) | (~v947(constB6)) | v949(constB7))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1312,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB6, constB7)) | (~v947(constB6)) | v949(constB7))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1313,plain,
% 4.01/4.22 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB6, constB7)) | (~v947(constB6)) | v949(constB7)),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1312, 1311])).
% 4.01/4.22 tff(1314,plain,
% 4.01/4.22 ((~v947(constB6)) | v949(constB7)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1313, 257, 114])).
% 4.01/4.22 tff(1315,plain,
% 4.01/4.22 (~v947(constB6)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1314, 1310])).
% 4.01/4.22 tff(1316,assumption,(v6(constB4, bitIndex0)), introduced(assumption)).
% 4.01/4.22 tff(1317,assumption,(~v933(constB6)), introduced(assumption)).
% 4.01/4.22 tff(1318,plain,
% 4.01/4.22 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB6) | v933(constB6))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB6) | v933(constB6))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1319,plain,
% 4.01/4.22 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB6) | v933(constB6))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1320,plain,
% 4.01/4.22 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB6) | v933(constB6)),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1319, 1318])).
% 4.01/4.22 tff(1321,plain,
% 4.01/4.22 (v16(constB6)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1320, 382, 1317])).
% 4.01/4.22 tff(1322,assumption,(~v947(constB6)), introduced(assumption)).
% 4.01/4.22 tff(1323,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex1)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1324,plain,
% 4.01/4.22 (((~v16(constB6)) | (~v19(constB6, bitIndex1)) | v947(constB6)) <=> (v947(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex1)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1325,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB6)) | (~v19(constB6, bitIndex1)) | v947(constB6))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex1))))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1324])).
% 4.01/4.22 tff(1326,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB6)) | (~v19(constB6, bitIndex1)) | v947(constB6))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex1)))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1325, 1323])).
% 4.01/4.22 tff(1327,plain,
% 4.01/4.22 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB6)) | (~v19(constB6, bitIndex1)) | v947(constB6))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1328,plain,
% 4.01/4.22 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex1))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 4.01/4.22 tff(1329,plain,
% 4.01/4.22 ((~v16(constB6)) | (~v19(constB6, bitIndex1))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1328, 400, 1322])).
% 4.01/4.22 tff(1330,plain,
% 4.01/4.22 (~v19(constB6, bitIndex1)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1329, 1321])).
% 4.01/4.22 tff(1331,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex0)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1332,plain,
% 4.01/4.22 (((~v16(constB6)) | (~v19(constB6, bitIndex0)) | v933(constB6)) <=> (v933(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex0)))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1333,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB6)) | (~v19(constB6, bitIndex0)) | v933(constB6))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex0))))),
% 4.01/4.22 inference(monotonicity,[status(thm)],[1332])).
% 4.01/4.22 tff(1334,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB6)) | (~v19(constB6, bitIndex0)) | v933(constB6))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex0)))),
% 4.01/4.22 inference(transitivity,[status(thm)],[1333, 1331])).
% 4.01/4.22 tff(1335,plain,
% 4.01/4.22 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB6)) | (~v19(constB6, bitIndex0)) | v933(constB6))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1336,plain,
% 4.01/4.22 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB6) | (~v16(constB6)) | (~v19(constB6, bitIndex0))),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 4.01/4.22 tff(1337,plain,
% 4.01/4.22 ((~v16(constB6)) | (~v19(constB6, bitIndex0))),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1336, 364, 1317])).
% 4.01/4.22 tff(1338,plain,
% 4.01/4.22 (~v19(constB6, bitIndex0)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1337, 1321])).
% 4.01/4.22 tff(1339,assumption,(~v19(constB6, bitIndex0)), introduced(assumption)).
% 4.01/4.22 tff(1340,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB6)) | v19(constB6, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB6)) | v19(constB6, bitIndex0))),
% 4.01/4.22 inference(rewrite,[status(thm)],[])).
% 4.01/4.22 tff(1341,plain,
% 4.01/4.22 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB6)) | v19(constB6, bitIndex0))),
% 4.01/4.22 inference(quant_inst,[status(thm)],[])).
% 4.01/4.22 tff(1342,plain,
% 4.01/4.22 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB6)) | v19(constB6, bitIndex0)),
% 4.01/4.22 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 4.01/4.22 tff(1343,plain,
% 4.01/4.22 (~v911(constB6)),
% 4.01/4.22 inference(unit_resolution,[status(thm)],[1342, 416, 1339])).
% 4.01/4.22 tff(1344,assumption,(~v19(constB6, bitIndex1)), introduced(assumption)).
% 4.01/4.22 tff(1345,plain,
% 4.01/4.22 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB6)) | v19(constB6, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB6)) | v19(constB6, bitIndex1))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1346,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB6)) | v19(constB6, bitIndex1))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1347,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB6)) | v19(constB6, bitIndex1)),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1346, 1345])).
% 4.01/4.23 tff(1348,plain,
% 4.01/4.23 (~v918(constB6)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1347, 539, 1344])).
% 4.01/4.23 tff(1349,assumption,(~v918(constB6)), introduced(assumption)).
% 4.01/4.23 tff(1350,assumption,(v6(constB6, bitIndex0)), introduced(assumption)).
% 4.01/4.23 tff(1351,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex1)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1352,plain,
% 4.01/4.23 (((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex1)) | v918(constB6)) <=> ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex1)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1353,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex1)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex1))))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1352])).
% 4.01/4.23 tff(1354,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex1)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex1)))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1353, 1351])).
% 4.01/4.23 tff(1355,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex1)) | v918(constB6))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1356,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex1))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1355, 1354])).
% 4.01/4.23 tff(1357,plain,
% 4.01/4.23 (v918(constB6) | (~v25(constB6, bitIndex1))),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1356, 431, 1350])).
% 4.01/4.23 tff(1358,plain,
% 4.01/4.23 (~v25(constB6, bitIndex1)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1357, 1349])).
% 4.01/4.23 tff(1359,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex0)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1360,plain,
% 4.01/4.23 (((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex0)) | v918(constB6)) <=> ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex0)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1361,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex0)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex0))))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1360])).
% 4.01/4.23 tff(1362,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex0)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex0)))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1361, 1359])).
% 4.01/4.23 tff(1363,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex0)) | v918(constB6))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1364,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex0))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1363, 1362])).
% 4.01/4.23 tff(1365,plain,
% 4.01/4.23 (v918(constB6) | (~v25(constB6, bitIndex0))),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1364, 449, 1350])).
% 4.01/4.23 tff(1366,plain,
% 4.01/4.23 (~v25(constB6, bitIndex0)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1365, 1349])).
% 4.01/4.23 tff(1367,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex2)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1368,plain,
% 4.01/4.23 (((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex2)) | v918(constB6)) <=> ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex2)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1369,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex2)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex2))))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1368])).
% 4.01/4.23 tff(1370,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex2)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex2)))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1369, 1367])).
% 4.01/4.23 tff(1371,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex2)) | v918(constB6))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1372,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex2))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1371, 1370])).
% 4.01/4.23 tff(1373,plain,
% 4.01/4.23 (v918(constB6) | (~v25(constB6, bitIndex2))),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1372, 467, 1350])).
% 4.01/4.23 tff(1374,plain,
% 4.01/4.23 (~v25(constB6, bitIndex2)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1373, 1349])).
% 4.01/4.23 tff(1375,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex4)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1376,plain,
% 4.01/4.23 (((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex4)) | v918(constB6)) <=> ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex4)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1377,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex4)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex4))))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1376])).
% 4.01/4.23 tff(1378,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex4)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex4)))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1377, 1375])).
% 4.01/4.23 tff(1379,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex4)) | v918(constB6))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1380,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex4))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1379, 1378])).
% 4.01/4.23 tff(1381,plain,
% 4.01/4.23 (v918(constB6) | (~v25(constB6, bitIndex4))),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1380, 485, 1350])).
% 4.01/4.23 tff(1382,plain,
% 4.01/4.23 (~v25(constB6, bitIndex4)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1381, 1349])).
% 4.01/4.23 tff(1383,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex3)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1384,plain,
% 4.01/4.23 (((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex3)) | v918(constB6)) <=> ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex3)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1385,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex3)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex3))))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1384])).
% 4.01/4.23 tff(1386,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex3)) | v918(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex3)))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1385, 1383])).
% 4.01/4.23 tff(1387,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB6, bitIndex0)) | (~v25(constB6, bitIndex3)) | v918(constB6))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1388,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB6, bitIndex0)) | v918(constB6) | (~v25(constB6, bitIndex3))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1387, 1386])).
% 4.01/4.23 tff(1389,plain,
% 4.01/4.23 (v918(constB6) | (~v25(constB6, bitIndex3))),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1388, 503, 1350])).
% 4.01/4.23 tff(1390,plain,
% 4.01/4.23 (~v25(constB6, bitIndex3)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1389, 1349])).
% 4.01/4.23 tff(1391,assumption,(~v911(constB6)), introduced(assumption)).
% 4.01/4.23 tff(1392,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB6, bitIndex0)) | v911(constB6) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB6, bitIndex0)) | v911(constB6) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1393,plain,
% 4.01/4.23 (((~v6(constB6, bitIndex0)) | v25(constB6, bitIndex1) | v25(constB6, bitIndex0) | v25(constB6, bitIndex2) | v25(constB6, bitIndex3) | v25(constB6, bitIndex4) | v911(constB6)) <=> ((~v6(constB6, bitIndex0)) | v911(constB6) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1394,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB6, bitIndex0)) | v25(constB6, bitIndex1) | v25(constB6, bitIndex0) | v25(constB6, bitIndex2) | v25(constB6, bitIndex3) | v25(constB6, bitIndex4) | v911(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB6, bitIndex0)) | v911(constB6) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1)))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1393])).
% 4.01/4.23 tff(1395,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB6, bitIndex0)) | v25(constB6, bitIndex1) | v25(constB6, bitIndex0) | v25(constB6, bitIndex2) | v25(constB6, bitIndex3) | v25(constB6, bitIndex4) | v911(constB6))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB6, bitIndex0)) | v911(constB6) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1394, 1392])).
% 4.01/4.23 tff(1396,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB6, bitIndex0)) | v25(constB6, bitIndex1) | v25(constB6, bitIndex0) | v25(constB6, bitIndex2) | v25(constB6, bitIndex3) | v25(constB6, bitIndex4) | v911(constB6))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1397,plain,
% 4.01/4.23 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB6, bitIndex0)) | v911(constB6) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1)),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1396, 1395])).
% 4.01/4.23 tff(1398,plain,
% 4.01/4.23 ((~v6(constB6, bitIndex0)) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1397, 522, 1391])).
% 4.01/4.23 tff(1399,plain,
% 4.01/4.23 ($false),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1398, 1390, 1382, 1350, 1374, 1366, 1358])).
% 4.01/4.23 tff(1400,plain,(v918(constB6) | (~v6(constB6, bitIndex0)) | v911(constB6)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.23 tff(1401,plain,
% 4.01/4.23 (~v6(constB6, bitIndex0)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1400, 1348, 1343])).
% 4.01/4.23 tff(1402,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB5, constB6)) | v1(constB6) | (~v926(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB5, constB6)) | v1(constB6) | (~v926(constB6)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1403,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB5, constB6)) | v1(constB6) | (~v926(constB6)))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1404,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB5, constB6)) | v1(constB6) | (~v926(constB6))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 4.01/4.23 tff(1405,plain,
% 4.01/4.23 (~v926(constB6)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1404, 555, 104, 111])).
% 4.01/4.23 tff(1406,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB5, constB6)) | v926(constB6) | (~v925(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB5, constB6)) | v926(constB6) | (~v925(constB6)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1407,plain,
% 4.01/4.23 (((~nextState(constB5, constB6)) | (~v925(constB6)) | v926(constB6)) <=> ((~nextState(constB5, constB6)) | v926(constB6) | (~v925(constB6)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1408,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB5, constB6)) | (~v925(constB6)) | v926(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB5, constB6)) | v926(constB6) | (~v925(constB6))))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1407])).
% 4.01/4.23 tff(1409,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB5, constB6)) | (~v925(constB6)) | v926(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB5, constB6)) | v926(constB6) | (~v925(constB6)))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1408, 1406])).
% 4.01/4.23 tff(1410,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB5, constB6)) | (~v925(constB6)) | v926(constB6))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1411,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB5, constB6)) | v926(constB6) | (~v925(constB6))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1410, 1409])).
% 4.01/4.23 tff(1412,plain,
% 4.01/4.23 (v926(constB6) | (~v925(constB6))),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1411, 569, 104])).
% 4.01/4.23 tff(1413,plain,
% 4.01/4.23 (~v925(constB6)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1412, 1405])).
% 4.01/4.23 tff(1414,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB5, bitIndex0)) | (~nextState(constB5, constB6)) | v925(constB6) | v6(constB6, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB5, bitIndex0)) | (~nextState(constB5, constB6)) | v925(constB6) | v6(constB6, bitIndex0))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1415,plain,
% 4.01/4.23 (((~nextState(constB5, constB6)) | (~v6(constB5, bitIndex0)) | v925(constB6) | v6(constB6, bitIndex0)) <=> ((~v6(constB5, bitIndex0)) | (~nextState(constB5, constB6)) | v925(constB6) | v6(constB6, bitIndex0))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1416,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v6(constB5, bitIndex0)) | v925(constB6) | v6(constB6, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB5, bitIndex0)) | (~nextState(constB5, constB6)) | v925(constB6) | v6(constB6, bitIndex0)))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1415])).
% 4.01/4.23 tff(1417,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v6(constB5, bitIndex0)) | v925(constB6) | v6(constB6, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB5, bitIndex0)) | (~nextState(constB5, constB6)) | v925(constB6) | v6(constB6, bitIndex0))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1416, 1414])).
% 4.01/4.23 tff(1418,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB5, constB6)) | (~v6(constB5, bitIndex0)) | v925(constB6) | v6(constB6, bitIndex0))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1419,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB5, bitIndex0)) | (~nextState(constB5, constB6)) | v925(constB6) | v6(constB6, bitIndex0)),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1418, 1417])).
% 4.01/4.23 tff(1420,plain,
% 4.01/4.23 ((~v6(constB5, bitIndex0)) | v925(constB6) | v6(constB6, bitIndex0)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1419, 587, 104])).
% 4.01/4.23 tff(1421,plain,
% 4.01/4.23 ((~v6(constB5, bitIndex0)) | v6(constB6, bitIndex0)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1420, 1413])).
% 4.01/4.23 tff(1422,plain,
% 4.01/4.23 (~v6(constB5, bitIndex0)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1421, 1401])).
% 4.01/4.23 tff(1423,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB4) | (~nextState(constB4, constB5)) | (~v929(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB4) | (~nextState(constB4, constB5)) | (~v929(constB5)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1424,plain,
% 4.01/4.23 (((~nextState(constB4, constB5)) | v1(constB4) | (~v929(constB5))) <=> (v1(constB4) | (~nextState(constB4, constB5)) | (~v929(constB5)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1425,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB4, constB5)) | v1(constB4) | (~v929(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB4) | (~nextState(constB4, constB5)) | (~v929(constB5))))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1424])).
% 4.01/4.23 tff(1426,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB4, constB5)) | v1(constB4) | (~v929(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB4) | (~nextState(constB4, constB5)) | (~v929(constB5)))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1425, 1423])).
% 4.01/4.23 tff(1427,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB4, constB5)) | v1(constB4) | (~v929(constB5)))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1428,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB4) | (~nextState(constB4, constB5)) | (~v929(constB5))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1427, 1426])).
% 4.01/4.23 tff(1429,plain,
% 4.01/4.23 (~v929(constB5)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1428, 164, 94, 91])).
% 4.01/4.23 tff(1430,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB4, constB5)) | v929(constB5) | v927(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB4, constB5)) | v929(constB5) | v927(constB5))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1431,plain,
% 4.01/4.23 (((~nextState(constB4, constB5)) | v927(constB5) | v929(constB5)) <=> ((~nextState(constB4, constB5)) | v929(constB5) | v927(constB5))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1432,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB4, constB5)) | v927(constB5) | v929(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB4, constB5)) | v929(constB5) | v927(constB5)))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1431])).
% 4.01/4.23 tff(1433,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB4, constB5)) | v927(constB5) | v929(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB4, constB5)) | v929(constB5) | v927(constB5))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1432, 1430])).
% 4.01/4.23 tff(1434,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB4, constB5)) | v927(constB5) | v929(constB5))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1435,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB4, constB5)) | v929(constB5) | v927(constB5)),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1434, 1433])).
% 4.01/4.23 tff(1436,plain,
% 4.01/4.23 (v929(constB5) | v927(constB5)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1435, 281, 94])).
% 4.01/4.23 tff(1437,plain,
% 4.01/4.23 (v927(constB5)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1436, 1429])).
% 4.01/4.23 tff(1438,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB4, constB5)) | (~v1(constB5)) | v926(constB5) | (~v927(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB4, constB5)) | (~v1(constB5)) | v926(constB5) | (~v927(constB5)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1439,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB4, constB5)) | (~v1(constB5)) | v926(constB5) | (~v927(constB5)))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1440,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB4, constB5)) | (~v1(constB5)) | v926(constB5) | (~v927(constB5))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1439, 1438])).
% 4.01/4.23 tff(1441,plain,
% 4.01/4.23 (v926(constB5) | (~v927(constB5))),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1440, 299, 94, 101])).
% 4.01/4.23 tff(1442,plain,
% 4.01/4.23 (v926(constB5)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1441, 1437])).
% 4.01/4.23 tff(1443,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB4, constB5)) | v925(constB5) | (~v926(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB4, constB5)) | v925(constB5) | (~v926(constB5)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1444,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB4, constB5)) | v925(constB5) | (~v926(constB5)))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1445,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB4, constB5)) | v925(constB5) | (~v926(constB5))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1444, 1443])).
% 4.01/4.23 tff(1446,plain,
% 4.01/4.23 (v925(constB5) | (~v926(constB5))),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1445, 314, 94])).
% 4.01/4.23 tff(1447,plain,
% 4.01/4.23 (v925(constB5)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1446, 1442])).
% 4.01/4.23 tff(1448,plain,
% 4.01/4.23 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB5, bitIndex0) | (~v935(constB5)) | (~v925(constB5)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB5, bitIndex0) | (~v935(constB5)) | (~v925(constB5)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1449,plain,
% 4.01/4.23 ((v6(constB5, bitIndex0) | (~v925(constB5)) | (~v935(constB5))) <=> (v6(constB5, bitIndex0) | (~v935(constB5)) | (~v925(constB5)))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1450,plain,
% 4.01/4.23 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB5, bitIndex0) | (~v925(constB5)) | (~v935(constB5)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB5, bitIndex0) | (~v935(constB5)) | (~v925(constB5))))),
% 4.01/4.23 inference(monotonicity,[status(thm)],[1449])).
% 4.01/4.23 tff(1451,plain,
% 4.01/4.23 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB5, bitIndex0) | (~v925(constB5)) | (~v935(constB5)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB5, bitIndex0) | (~v935(constB5)) | (~v925(constB5)))),
% 4.01/4.23 inference(transitivity,[status(thm)],[1450, 1448])).
% 4.01/4.23 tff(1452,plain,
% 4.01/4.23 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB5, bitIndex0) | (~v925(constB5)) | (~v935(constB5)))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1453,plain,
% 4.01/4.23 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB5, bitIndex0) | (~v935(constB5)) | (~v925(constB5))),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 4.01/4.23 tff(1454,plain,
% 4.01/4.23 (v6(constB5, bitIndex0) | (~v935(constB5))),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1453, 329, 1447])).
% 4.01/4.23 tff(1455,plain,
% 4.01/4.23 (~v935(constB5)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1454, 1422])).
% 4.01/4.23 tff(1456,plain,
% 4.01/4.23 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB4, constB5)) | (~v933(constB4)) | v935(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB4, constB5)) | (~v933(constB4)) | v935(constB5))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1457,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB4, constB5)) | (~v933(constB4)) | v935(constB5))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1458,plain,
% 4.01/4.23 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB4, constB5)) | (~v933(constB4)) | v935(constB5)),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1457, 1456])).
% 4.01/4.23 tff(1459,plain,
% 4.01/4.23 ((~v933(constB4)) | v935(constB5)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1458, 347, 94])).
% 4.01/4.23 tff(1460,plain,
% 4.01/4.23 (~v933(constB4)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1459, 1455])).
% 4.01/4.23 tff(1461,plain,
% 4.01/4.23 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB4) | v933(constB4))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB4) | v933(constB4))),
% 4.01/4.23 inference(rewrite,[status(thm)],[])).
% 4.01/4.23 tff(1462,plain,
% 4.01/4.23 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB4) | v933(constB4))),
% 4.01/4.23 inference(quant_inst,[status(thm)],[])).
% 4.01/4.23 tff(1463,plain,
% 4.01/4.23 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB4) | v933(constB4)),
% 4.01/4.23 inference(modus_ponens,[status(thm)],[1462, 1461])).
% 4.01/4.23 tff(1464,plain,
% 4.01/4.23 (v16(constB4)),
% 4.01/4.23 inference(unit_resolution,[status(thm)],[1463, 382, 1460])).
% 4.01/4.23 tff(1465,plain,
% 4.01/4.23 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex0)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1466,plain,
% 4.01/4.24 (((~v16(constB4)) | (~v19(constB4, bitIndex0)) | v933(constB4)) <=> (v933(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex0)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1467,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB4)) | (~v19(constB4, bitIndex0)) | v933(constB4))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex0))))),
% 4.01/4.24 inference(monotonicity,[status(thm)],[1466])).
% 4.01/4.24 tff(1468,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB4)) | (~v19(constB4, bitIndex0)) | v933(constB4))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex0)))),
% 4.01/4.24 inference(transitivity,[status(thm)],[1467, 1465])).
% 4.01/4.24 tff(1469,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB4)) | (~v19(constB4, bitIndex0)) | v933(constB4))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1470,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex0))),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1469, 1468])).
% 4.01/4.24 tff(1471,plain,
% 4.01/4.24 ((~v16(constB4)) | (~v19(constB4, bitIndex0))),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1470, 364, 1460])).
% 4.01/4.24 tff(1472,plain,
% 4.01/4.24 (~v19(constB4, bitIndex0)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1471, 1464])).
% 4.01/4.24 tff(1473,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB4)) | v19(constB4, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB4)) | v19(constB4, bitIndex0))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1474,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB4)) | v19(constB4, bitIndex0))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1475,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB4)) | v19(constB4, bitIndex0)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 4.01/4.24 tff(1476,plain,
% 4.01/4.24 (~v911(constB4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1475, 416, 1472])).
% 4.01/4.24 tff(1477,assumption,(~v918(constB4)), introduced(assumption)).
% 4.01/4.24 tff(1478,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex4)) | v918(constB4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex4)) | v918(constB4))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1479,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex4)) | v918(constB4))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1480,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex4)) | v918(constB4)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 4.01/4.24 tff(1481,plain,
% 4.01/4.24 ((~v25(constB4, bitIndex4)) | v918(constB4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1480, 485, 1316])).
% 4.01/4.24 tff(1482,plain,
% 4.01/4.24 (~v25(constB4, bitIndex4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1481, 1477])).
% 4.01/4.24 tff(1483,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex1)) | v918(constB4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex1)) | v918(constB4))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1484,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex1)) | v918(constB4))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1485,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex1)) | v918(constB4)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 4.01/4.24 tff(1486,plain,
% 4.01/4.24 ((~v25(constB4, bitIndex1)) | v918(constB4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1485, 431, 1316])).
% 4.01/4.24 tff(1487,plain,
% 4.01/4.24 (~v25(constB4, bitIndex1)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1486, 1477])).
% 4.01/4.24 tff(1488,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex0)) | v918(constB4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex0)) | v918(constB4))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1489,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex0)) | v918(constB4))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1490,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex0)) | v918(constB4)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1489, 1488])).
% 4.01/4.24 tff(1491,plain,
% 4.01/4.24 ((~v25(constB4, bitIndex0)) | v918(constB4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1490, 449, 1316])).
% 4.01/4.24 tff(1492,plain,
% 4.01/4.24 (~v25(constB4, bitIndex0)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1491, 1477])).
% 4.01/4.24 tff(1493,assumption,(~v911(constB4)), introduced(assumption)).
% 4.01/4.24 tff(1494,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex3)) | v918(constB4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex3)) | v918(constB4))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1495,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex3)) | v918(constB4))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1496,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex3)) | v918(constB4)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 4.01/4.24 tff(1497,plain,
% 4.01/4.24 ((~v25(constB4, bitIndex3)) | v918(constB4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1496, 503, 1316])).
% 4.01/4.24 tff(1498,plain,
% 4.01/4.24 (~v25(constB4, bitIndex3)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1497, 1477])).
% 4.01/4.24 tff(1499,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex2)) | v918(constB4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex2)) | v918(constB4))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1500,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex2)) | v918(constB4))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1501,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB4, bitIndex0)) | (~v25(constB4, bitIndex2)) | v918(constB4)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1500, 1499])).
% 4.01/4.24 tff(1502,plain,
% 4.01/4.24 ((~v25(constB4, bitIndex2)) | v918(constB4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1501, 467, 1316])).
% 4.01/4.24 tff(1503,plain,
% 4.01/4.24 (~v25(constB4, bitIndex2)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1502, 1477])).
% 4.01/4.24 tff(1504,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB4, bitIndex0)) | v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | v911(constB4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB4, bitIndex0)) | v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | v911(constB4))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1505,plain,
% 4.01/4.24 (((~v6(constB4, bitIndex0)) | v25(constB4, bitIndex1) | v25(constB4, bitIndex0) | v25(constB4, bitIndex2) | v25(constB4, bitIndex3) | v25(constB4, bitIndex4) | v911(constB4)) <=> ((~v6(constB4, bitIndex0)) | v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | v911(constB4))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1506,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB4, bitIndex0)) | v25(constB4, bitIndex1) | v25(constB4, bitIndex0) | v25(constB4, bitIndex2) | v25(constB4, bitIndex3) | v25(constB4, bitIndex4) | v911(constB4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB4, bitIndex0)) | v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | v911(constB4)))),
% 4.01/4.24 inference(monotonicity,[status(thm)],[1505])).
% 4.01/4.24 tff(1507,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB4, bitIndex0)) | v25(constB4, bitIndex1) | v25(constB4, bitIndex0) | v25(constB4, bitIndex2) | v25(constB4, bitIndex3) | v25(constB4, bitIndex4) | v911(constB4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB4, bitIndex0)) | v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | v911(constB4))),
% 4.01/4.24 inference(transitivity,[status(thm)],[1506, 1504])).
% 4.01/4.24 tff(1508,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB4, bitIndex0)) | v25(constB4, bitIndex1) | v25(constB4, bitIndex0) | v25(constB4, bitIndex2) | v25(constB4, bitIndex3) | v25(constB4, bitIndex4) | v911(constB4))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1509,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB4, bitIndex0)) | v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | v911(constB4)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 4.01/4.24 tff(1510,plain,
% 4.01/4.24 (v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | v911(constB4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1509, 522, 1316])).
% 4.01/4.24 tff(1511,plain,
% 4.01/4.24 ($false),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1510, 1503, 1498, 1493, 1492, 1487, 1482])).
% 4.01/4.24 tff(1512,plain,(v918(constB4) | v911(constB4) | (~v6(constB4, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.01/4.24 tff(1513,plain,
% 4.01/4.24 (v918(constB4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1512, 1476, 1316])).
% 4.01/4.24 tff(1514,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB4)) | v19(constB4, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB4)) | v19(constB4, bitIndex1))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1515,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB4)) | v19(constB4, bitIndex1))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1516,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB4)) | v19(constB4, bitIndex1)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1515, 1514])).
% 4.01/4.24 tff(1517,plain,
% 4.01/4.24 (v19(constB4, bitIndex1)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1516, 539, 1513])).
% 4.01/4.24 tff(1518,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex1)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1519,plain,
% 4.01/4.24 (((~v16(constB4)) | (~v19(constB4, bitIndex1)) | v947(constB4)) <=> (v947(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex1)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1520,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB4)) | (~v19(constB4, bitIndex1)) | v947(constB4))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex1))))),
% 4.01/4.24 inference(monotonicity,[status(thm)],[1519])).
% 4.01/4.24 tff(1521,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB4)) | (~v19(constB4, bitIndex1)) | v947(constB4))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex1)))),
% 4.01/4.24 inference(transitivity,[status(thm)],[1520, 1518])).
% 4.01/4.24 tff(1522,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB4)) | (~v19(constB4, bitIndex1)) | v947(constB4))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1523,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB4) | (~v16(constB4)) | (~v19(constB4, bitIndex1))),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1522, 1521])).
% 4.01/4.24 tff(1524,plain,
% 4.01/4.24 (v947(constB4) | (~v19(constB4, bitIndex1))),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1523, 400, 1464])).
% 4.01/4.24 tff(1525,plain,
% 4.01/4.24 (v947(constB4)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1524, 1517])).
% 4.01/4.24 tff(1526,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB4, constB5)) | (~v947(constB4)) | v949(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB4, constB5)) | (~v947(constB4)) | v949(constB5))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1527,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB4, constB5)) | (~v947(constB4)) | v949(constB5))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1528,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB4, constB5)) | (~v947(constB4)) | v949(constB5)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1527, 1526])).
% 4.01/4.24 tff(1529,plain,
% 4.01/4.24 ((~v947(constB4)) | v949(constB5)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1528, 257, 94])).
% 4.01/4.24 tff(1530,plain,
% 4.01/4.24 (v949(constB5)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1529, 1525])).
% 4.01/4.24 tff(1531,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB4, constB5)) | v944(constB5) | v929(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB4, constB5)) | v944(constB5) | v929(constB5))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1532,plain,
% 4.01/4.24 (((~nextState(constB4, constB5)) | v929(constB5) | v944(constB5)) <=> ((~nextState(constB4, constB5)) | v944(constB5) | v929(constB5))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1533,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB4, constB5)) | v929(constB5) | v944(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB4, constB5)) | v944(constB5) | v929(constB5)))),
% 4.01/4.24 inference(monotonicity,[status(thm)],[1532])).
% 4.01/4.24 tff(1534,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB4, constB5)) | v929(constB5) | v944(constB5))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB4, constB5)) | v944(constB5) | v929(constB5))),
% 4.01/4.24 inference(transitivity,[status(thm)],[1533, 1531])).
% 4.01/4.24 tff(1535,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB4, constB5)) | v929(constB5) | v944(constB5))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1536,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB4, constB5)) | v944(constB5) | v929(constB5)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1535, 1534])).
% 4.01/4.24 tff(1537,plain,
% 4.01/4.24 (v944(constB5) | v929(constB5)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1536, 181, 94])).
% 4.01/4.24 tff(1538,plain,
% 4.01/4.24 (v944(constB5)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1537, 1429])).
% 4.01/4.24 tff(1539,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB4, constB5)) | v942(constB5) | (~v1(constB5)) | (~v944(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB4, constB5)) | v942(constB5) | (~v1(constB5)) | (~v944(constB5)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1540,plain,
% 4.01/4.24 (((~nextState(constB4, constB5)) | (~v1(constB5)) | v942(constB5) | (~v944(constB5))) <=> ((~nextState(constB4, constB5)) | v942(constB5) | (~v1(constB5)) | (~v944(constB5)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1541,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB4, constB5)) | (~v1(constB5)) | v942(constB5) | (~v944(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB4, constB5)) | v942(constB5) | (~v1(constB5)) | (~v944(constB5))))),
% 4.01/4.24 inference(monotonicity,[status(thm)],[1540])).
% 4.01/4.24 tff(1542,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB4, constB5)) | (~v1(constB5)) | v942(constB5) | (~v944(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB4, constB5)) | v942(constB5) | (~v1(constB5)) | (~v944(constB5)))),
% 4.01/4.24 inference(transitivity,[status(thm)],[1541, 1539])).
% 4.01/4.24 tff(1543,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB4, constB5)) | (~v1(constB5)) | v942(constB5) | (~v944(constB5)))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1544,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB4, constB5)) | v942(constB5) | (~v1(constB5)) | (~v944(constB5))),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1543, 1542])).
% 4.01/4.24 tff(1545,plain,
% 4.01/4.24 (v942(constB5) | (~v944(constB5))),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1544, 206, 94, 101])).
% 4.01/4.24 tff(1546,plain,
% 4.01/4.24 (v942(constB5)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1545, 1538])).
% 4.01/4.24 tff(1547,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB4, constB5)) | v941(constB5) | (~v942(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB4, constB5)) | v941(constB5) | (~v942(constB5)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1548,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB4, constB5)) | v941(constB5) | (~v942(constB5)))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1549,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB4, constB5)) | v941(constB5) | (~v942(constB5))),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 4.01/4.24 tff(1550,plain,
% 4.01/4.24 (v941(constB5) | (~v942(constB5))),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1549, 224, 94])).
% 4.01/4.24 tff(1551,plain,
% 4.01/4.24 (v941(constB5)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1550, 1546])).
% 4.01/4.24 tff(1552,plain,
% 4.01/4.24 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB5, bitIndex1) | (~v949(constB5)) | (~v941(constB5)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB5, bitIndex1) | (~v949(constB5)) | (~v941(constB5)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1553,plain,
% 4.01/4.24 ((v6(constB5, bitIndex1) | (~v941(constB5)) | (~v949(constB5))) <=> (v6(constB5, bitIndex1) | (~v949(constB5)) | (~v941(constB5)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1554,plain,
% 4.01/4.24 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB5, bitIndex1) | (~v941(constB5)) | (~v949(constB5)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB5, bitIndex1) | (~v949(constB5)) | (~v941(constB5))))),
% 4.01/4.24 inference(monotonicity,[status(thm)],[1553])).
% 4.01/4.24 tff(1555,plain,
% 4.01/4.24 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB5, bitIndex1) | (~v941(constB5)) | (~v949(constB5)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB5, bitIndex1) | (~v949(constB5)) | (~v941(constB5)))),
% 4.01/4.24 inference(transitivity,[status(thm)],[1554, 1552])).
% 4.01/4.24 tff(1556,plain,
% 4.01/4.24 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB5, bitIndex1) | (~v941(constB5)) | (~v949(constB5)))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1557,plain,
% 4.01/4.24 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB5, bitIndex1) | (~v949(constB5)) | (~v941(constB5))),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1556, 1555])).
% 4.01/4.24 tff(1558,plain,
% 4.01/4.24 (v6(constB5, bitIndex1) | (~v949(constB5))),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1557, 239, 1551])).
% 4.01/4.24 tff(1559,plain,
% 4.01/4.24 (v6(constB5, bitIndex1)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1558, 1530])).
% 4.01/4.24 tff(1560,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB5, constB6)) | v1(constB6) | (~v942(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB5, constB6)) | v1(constB6) | (~v942(constB6)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1561,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB5, constB6)) | v1(constB6) | (~v942(constB6)))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1562,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB5, constB6)) | v1(constB6) | (~v942(constB6))),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 4.01/4.24 tff(1563,plain,
% 4.01/4.24 (~v942(constB6)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1562, 696, 104, 111])).
% 4.01/4.24 tff(1564,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB5, constB6)) | v942(constB6) | (~v941(constB6)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB5, constB6)) | v942(constB6) | (~v941(constB6)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1565,plain,
% 4.01/4.24 (((~nextState(constB5, constB6)) | (~v941(constB6)) | v942(constB6)) <=> ((~nextState(constB5, constB6)) | v942(constB6) | (~v941(constB6)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1566,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB5, constB6)) | (~v941(constB6)) | v942(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB5, constB6)) | v942(constB6) | (~v941(constB6))))),
% 4.01/4.24 inference(monotonicity,[status(thm)],[1565])).
% 4.01/4.24 tff(1567,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB5, constB6)) | (~v941(constB6)) | v942(constB6))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB5, constB6)) | v942(constB6) | (~v941(constB6)))),
% 4.01/4.24 inference(transitivity,[status(thm)],[1566, 1564])).
% 4.01/4.24 tff(1568,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB5, constB6)) | (~v941(constB6)) | v942(constB6))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1569,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB5, constB6)) | v942(constB6) | (~v941(constB6))),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1568, 1567])).
% 4.01/4.24 tff(1570,plain,
% 4.01/4.24 (v942(constB6) | (~v941(constB6))),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1569, 710, 104])).
% 4.01/4.24 tff(1571,plain,
% 4.01/4.24 (~v941(constB6)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1570, 1563])).
% 4.01/4.24 tff(1572,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB5, bitIndex1)) | (~nextState(constB5, constB6)) | v941(constB6) | v6(constB6, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB5, bitIndex1)) | (~nextState(constB5, constB6)) | v941(constB6) | v6(constB6, bitIndex1))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1573,plain,
% 4.01/4.24 (((~nextState(constB5, constB6)) | (~v6(constB5, bitIndex1)) | v941(constB6) | v6(constB6, bitIndex1)) <=> ((~v6(constB5, bitIndex1)) | (~nextState(constB5, constB6)) | v941(constB6) | v6(constB6, bitIndex1))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1574,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v6(constB5, bitIndex1)) | v941(constB6) | v6(constB6, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB5, bitIndex1)) | (~nextState(constB5, constB6)) | v941(constB6) | v6(constB6, bitIndex1)))),
% 4.01/4.24 inference(monotonicity,[status(thm)],[1573])).
% 4.01/4.24 tff(1575,plain,
% 4.01/4.24 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v6(constB5, bitIndex1)) | v941(constB6) | v6(constB6, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB5, bitIndex1)) | (~nextState(constB5, constB6)) | v941(constB6) | v6(constB6, bitIndex1))),
% 4.01/4.24 inference(transitivity,[status(thm)],[1574, 1572])).
% 4.01/4.24 tff(1576,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB5, constB6)) | (~v6(constB5, bitIndex1)) | v941(constB6) | v6(constB6, bitIndex1))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1577,plain,
% 4.01/4.24 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB5, bitIndex1)) | (~nextState(constB5, constB6)) | v941(constB6) | v6(constB6, bitIndex1)),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1576, 1575])).
% 4.01/4.24 tff(1578,plain,
% 4.01/4.24 ((~v6(constB5, bitIndex1)) | v941(constB6) | v6(constB6, bitIndex1)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1577, 728, 104])).
% 4.01/4.24 tff(1579,plain,
% 4.01/4.24 ((~v6(constB5, bitIndex1)) | v6(constB6, bitIndex1)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1578, 1571])).
% 4.01/4.24 tff(1580,plain,
% 4.01/4.24 (v6(constB6, bitIndex1)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1579, 1559])).
% 4.01/4.24 tff(1581,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB6, bitIndex1)) | v19(constB6, bitIndex0) | (~v702(constB6)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB6, bitIndex1)) | v19(constB6, bitIndex0) | (~v702(constB6)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1582,plain,
% 4.01/4.24 (((~v6(constB6, bitIndex1)) | (~v702(constB6)) | v19(constB6, bitIndex0)) <=> ((~v6(constB6, bitIndex1)) | v19(constB6, bitIndex0) | (~v702(constB6)))),
% 4.01/4.24 inference(rewrite,[status(thm)],[])).
% 4.01/4.24 tff(1583,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB6, bitIndex1)) | (~v702(constB6)) | v19(constB6, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB6, bitIndex1)) | v19(constB6, bitIndex0) | (~v702(constB6))))),
% 4.01/4.24 inference(monotonicity,[status(thm)],[1582])).
% 4.01/4.24 tff(1584,plain,
% 4.01/4.24 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB6, bitIndex1)) | (~v702(constB6)) | v19(constB6, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB6, bitIndex1)) | v19(constB6, bitIndex0) | (~v702(constB6)))),
% 4.01/4.24 inference(transitivity,[status(thm)],[1583, 1581])).
% 4.01/4.24 tff(1585,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB6, bitIndex1)) | (~v702(constB6)) | v19(constB6, bitIndex0))),
% 4.01/4.24 inference(quant_inst,[status(thm)],[])).
% 4.01/4.24 tff(1586,plain,
% 4.01/4.24 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB6, bitIndex1)) | v19(constB6, bitIndex0) | (~v702(constB6))),
% 4.01/4.24 inference(modus_ponens,[status(thm)],[1585, 1584])).
% 4.01/4.24 tff(1587,plain,
% 4.01/4.24 ((~v6(constB6, bitIndex1)) | (~v702(constB6))),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1586, 663, 1339])).
% 4.01/4.24 tff(1588,plain,
% 4.01/4.24 (~v702(constB6)),
% 4.01/4.24 inference(unit_resolution,[status(thm)],[1587, 1580])).
% 4.01/4.24 tff(1589,plain,
% 4.01/4.24 (((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB6) | (~v6(constB6, bitIndex1)) | v19(constB6, bitIndex1))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB6) | (~v6(constB6, bitIndex1)) | v19(constB6, bitIndex1))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1590,plain,
% 4.01/4.25 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB6) | (~v6(constB6, bitIndex1)) | v19(constB6, bitIndex1))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1591,plain,
% 4.01/4.25 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB6) | (~v6(constB6, bitIndex1)) | v19(constB6, bitIndex1)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1590, 1589])).
% 4.01/4.25 tff(1592,plain,
% 4.01/4.25 (v702(constB6) | (~v6(constB6, bitIndex1))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1591, 679, 1344])).
% 4.01/4.25 tff(1593,plain,
% 4.01/4.25 ($false),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1592, 1588, 1580])).
% 4.01/4.25 tff(1594,plain,(v19(constB6, bitIndex1) | v19(constB6, bitIndex0) | (~v6(constB4, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.01/4.25 tff(1595,plain,
% 4.01/4.25 ($false),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1594, 1338, 1330, 1316])).
% 4.01/4.25 tff(1596,plain,(v933(constB6) | (~v6(constB4, bitIndex0)) | v947(constB6)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.25 tff(1597,plain,
% 4.01/4.25 (~v6(constB4, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1596, 1315, 1231])).
% 4.01/4.25 tff(1598,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB3, constB4)) | v1(constB4) | (~v926(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB3, constB4)) | v1(constB4) | (~v926(constB4)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1599,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB3, constB4)) | v1(constB4) | (~v926(constB4)))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1600,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB3, constB4)) | v1(constB4) | (~v926(constB4))),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1599, 1598])).
% 4.01/4.25 tff(1601,plain,
% 4.01/4.25 (~v926(constB4)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1600, 555, 84, 91])).
% 4.01/4.25 tff(1602,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB3, constB4)) | v926(constB4) | (~v925(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB3, constB4)) | v926(constB4) | (~v925(constB4)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1603,plain,
% 4.01/4.25 (((~nextState(constB3, constB4)) | (~v925(constB4)) | v926(constB4)) <=> ((~nextState(constB3, constB4)) | v926(constB4) | (~v925(constB4)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1604,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB3, constB4)) | (~v925(constB4)) | v926(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB3, constB4)) | v926(constB4) | (~v925(constB4))))),
% 4.01/4.25 inference(monotonicity,[status(thm)],[1603])).
% 4.01/4.25 tff(1605,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB3, constB4)) | (~v925(constB4)) | v926(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB3, constB4)) | v926(constB4) | (~v925(constB4)))),
% 4.01/4.25 inference(transitivity,[status(thm)],[1604, 1602])).
% 4.01/4.25 tff(1606,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB3, constB4)) | (~v925(constB4)) | v926(constB4))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1607,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB3, constB4)) | v926(constB4) | (~v925(constB4))),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1606, 1605])).
% 4.01/4.25 tff(1608,plain,
% 4.01/4.25 (v926(constB4) | (~v925(constB4))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1607, 569, 84])).
% 4.01/4.25 tff(1609,plain,
% 4.01/4.25 (~v925(constB4)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1608, 1601])).
% 4.01/4.25 tff(1610,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v925(constB4) | v6(constB4, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v925(constB4) | v6(constB4, bitIndex0))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1611,plain,
% 4.01/4.25 (((~nextState(constB3, constB4)) | (~v6(constB3, bitIndex0)) | v925(constB4) | v6(constB4, bitIndex0)) <=> ((~v6(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v925(constB4) | v6(constB4, bitIndex0))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1612,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB3, constB4)) | (~v6(constB3, bitIndex0)) | v925(constB4) | v6(constB4, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v925(constB4) | v6(constB4, bitIndex0)))),
% 4.01/4.25 inference(monotonicity,[status(thm)],[1611])).
% 4.01/4.25 tff(1613,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB3, constB4)) | (~v6(constB3, bitIndex0)) | v925(constB4) | v6(constB4, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v925(constB4) | v6(constB4, bitIndex0))),
% 4.01/4.25 inference(transitivity,[status(thm)],[1612, 1610])).
% 4.01/4.25 tff(1614,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB3, constB4)) | (~v6(constB3, bitIndex0)) | v925(constB4) | v6(constB4, bitIndex0))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1615,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB3, bitIndex0)) | (~nextState(constB3, constB4)) | v925(constB4) | v6(constB4, bitIndex0)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1614, 1613])).
% 4.01/4.25 tff(1616,plain,
% 4.01/4.25 ((~v6(constB3, bitIndex0)) | v925(constB4) | v6(constB4, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1615, 587, 84])).
% 4.01/4.25 tff(1617,plain,
% 4.01/4.25 ((~v6(constB3, bitIndex0)) | v6(constB4, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1616, 1609])).
% 4.01/4.25 tff(1618,plain,
% 4.01/4.25 (~v6(constB3, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1617, 1597])).
% 4.01/4.25 tff(1619,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB2) | (~nextState(constB2, constB3)) | (~v929(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB2) | (~nextState(constB2, constB3)) | (~v929(constB3)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1620,plain,
% 4.01/4.25 (((~nextState(constB2, constB3)) | v1(constB2) | (~v929(constB3))) <=> (v1(constB2) | (~nextState(constB2, constB3)) | (~v929(constB3)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1621,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB2, constB3)) | v1(constB2) | (~v929(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB2) | (~nextState(constB2, constB3)) | (~v929(constB3))))),
% 4.01/4.25 inference(monotonicity,[status(thm)],[1620])).
% 4.01/4.25 tff(1622,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB2, constB3)) | v1(constB2) | (~v929(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB2) | (~nextState(constB2, constB3)) | (~v929(constB3)))),
% 4.01/4.25 inference(transitivity,[status(thm)],[1621, 1619])).
% 4.01/4.25 tff(1623,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB2, constB3)) | v1(constB2) | (~v929(constB3)))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1624,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB2) | (~nextState(constB2, constB3)) | (~v929(constB3))),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1623, 1622])).
% 4.01/4.25 tff(1625,plain,
% 4.01/4.25 (~v929(constB3)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1624, 164, 74, 71])).
% 4.01/4.25 tff(1626,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB2, constB3)) | v929(constB3) | v927(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB2, constB3)) | v929(constB3) | v927(constB3))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1627,plain,
% 4.01/4.25 (((~nextState(constB2, constB3)) | v927(constB3) | v929(constB3)) <=> ((~nextState(constB2, constB3)) | v929(constB3) | v927(constB3))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1628,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB2, constB3)) | v927(constB3) | v929(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB2, constB3)) | v929(constB3) | v927(constB3)))),
% 4.01/4.25 inference(monotonicity,[status(thm)],[1627])).
% 4.01/4.25 tff(1629,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB2, constB3)) | v927(constB3) | v929(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB2, constB3)) | v929(constB3) | v927(constB3))),
% 4.01/4.25 inference(transitivity,[status(thm)],[1628, 1626])).
% 4.01/4.25 tff(1630,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB2, constB3)) | v927(constB3) | v929(constB3))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1631,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB2, constB3)) | v929(constB3) | v927(constB3)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1630, 1629])).
% 4.01/4.25 tff(1632,plain,
% 4.01/4.25 (v929(constB3) | v927(constB3)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1631, 281, 74])).
% 4.01/4.25 tff(1633,plain,
% 4.01/4.25 (v927(constB3)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1632, 1625])).
% 4.01/4.25 tff(1634,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB2, constB3)) | (~v1(constB3)) | v926(constB3) | (~v927(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB2, constB3)) | (~v1(constB3)) | v926(constB3) | (~v927(constB3)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1635,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB2, constB3)) | (~v1(constB3)) | v926(constB3) | (~v927(constB3)))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1636,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB2, constB3)) | (~v1(constB3)) | v926(constB3) | (~v927(constB3))),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1635, 1634])).
% 4.01/4.25 tff(1637,plain,
% 4.01/4.25 (v926(constB3) | (~v927(constB3))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1636, 299, 74, 81])).
% 4.01/4.25 tff(1638,plain,
% 4.01/4.25 (v926(constB3)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1637, 1633])).
% 4.01/4.25 tff(1639,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB2, constB3)) | v925(constB3) | (~v926(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB2, constB3)) | v925(constB3) | (~v926(constB3)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1640,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB2, constB3)) | v925(constB3) | (~v926(constB3)))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1641,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB2, constB3)) | v925(constB3) | (~v926(constB3))),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1640, 1639])).
% 4.01/4.25 tff(1642,plain,
% 4.01/4.25 (v925(constB3) | (~v926(constB3))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1641, 314, 74])).
% 4.01/4.25 tff(1643,plain,
% 4.01/4.25 (v925(constB3)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1642, 1638])).
% 4.01/4.25 tff(1644,plain,
% 4.01/4.25 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB3, bitIndex0) | (~v935(constB3)) | (~v925(constB3)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB3, bitIndex0) | (~v935(constB3)) | (~v925(constB3)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1645,plain,
% 4.01/4.25 ((v6(constB3, bitIndex0) | (~v925(constB3)) | (~v935(constB3))) <=> (v6(constB3, bitIndex0) | (~v935(constB3)) | (~v925(constB3)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1646,plain,
% 4.01/4.25 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB3, bitIndex0) | (~v925(constB3)) | (~v935(constB3)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB3, bitIndex0) | (~v935(constB3)) | (~v925(constB3))))),
% 4.01/4.25 inference(monotonicity,[status(thm)],[1645])).
% 4.01/4.25 tff(1647,plain,
% 4.01/4.25 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB3, bitIndex0) | (~v925(constB3)) | (~v935(constB3)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB3, bitIndex0) | (~v935(constB3)) | (~v925(constB3)))),
% 4.01/4.25 inference(transitivity,[status(thm)],[1646, 1644])).
% 4.01/4.25 tff(1648,plain,
% 4.01/4.25 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB3, bitIndex0) | (~v925(constB3)) | (~v935(constB3)))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1649,plain,
% 4.01/4.25 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB3, bitIndex0) | (~v935(constB3)) | (~v925(constB3))),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 4.01/4.25 tff(1650,plain,
% 4.01/4.25 (v6(constB3, bitIndex0) | (~v935(constB3))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1649, 329, 1643])).
% 4.01/4.25 tff(1651,plain,
% 4.01/4.25 (~v935(constB3)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1650, 1618])).
% 4.01/4.25 tff(1652,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB2, constB3)) | (~v933(constB2)) | v935(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB2, constB3)) | (~v933(constB2)) | v935(constB3))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1653,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB2, constB3)) | (~v933(constB2)) | v935(constB3))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1654,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB2, constB3)) | (~v933(constB2)) | v935(constB3)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1653, 1652])).
% 4.01/4.25 tff(1655,plain,
% 4.01/4.25 ((~v933(constB2)) | v935(constB3)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1654, 347, 74])).
% 4.01/4.25 tff(1656,plain,
% 4.01/4.25 (~v933(constB2)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1655, 1651])).
% 4.01/4.25 tff(1657,assumption,(~v933(constB2)), introduced(assumption)).
% 4.01/4.25 tff(1658,assumption,(v19(constB2, bitIndex0)), introduced(assumption)).
% 4.01/4.25 tff(1659,plain,
% 4.01/4.25 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex0)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1660,plain,
% 4.01/4.25 (((~v16(constB2)) | (~v19(constB2, bitIndex0)) | v933(constB2)) <=> (v933(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex0)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1661,plain,
% 4.01/4.25 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB2)) | (~v19(constB2, bitIndex0)) | v933(constB2))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex0))))),
% 4.01/4.25 inference(monotonicity,[status(thm)],[1660])).
% 4.01/4.25 tff(1662,plain,
% 4.01/4.25 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB2)) | (~v19(constB2, bitIndex0)) | v933(constB2))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex0)))),
% 4.01/4.25 inference(transitivity,[status(thm)],[1661, 1659])).
% 4.01/4.25 tff(1663,plain,
% 4.01/4.25 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB2)) | (~v19(constB2, bitIndex0)) | v933(constB2))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1664,plain,
% 4.01/4.25 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex0))),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 4.01/4.25 tff(1665,plain,
% 4.01/4.25 (v933(constB2) | (~v16(constB2))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1664, 364, 1658])).
% 4.01/4.25 tff(1666,plain,
% 4.01/4.25 (~v16(constB2)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1665, 1657])).
% 4.01/4.25 tff(1667,plain,
% 4.01/4.25 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB2) | v933(constB2))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB2) | v933(constB2))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1668,plain,
% 4.01/4.25 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB2) | v933(constB2))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1669,plain,
% 4.01/4.25 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB2) | v933(constB2)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1668, 1667])).
% 4.01/4.25 tff(1670,plain,
% 4.01/4.25 ($false),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1669, 382, 1657, 1666])).
% 4.01/4.25 tff(1671,plain,(v933(constB2) | (~v19(constB2, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.01/4.25 tff(1672,plain,
% 4.01/4.25 (~v19(constB2, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1671, 1656])).
% 4.01/4.25 tff(1673,plain,
% 4.01/4.25 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB2)) | v19(constB2, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB2)) | v19(constB2, bitIndex0))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1674,plain,
% 4.01/4.25 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB2)) | v19(constB2, bitIndex0))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1675,plain,
% 4.01/4.25 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB2)) | v19(constB2, bitIndex0)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1674, 1673])).
% 4.01/4.25 tff(1676,plain,
% 4.01/4.25 (~v911(constB2)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1675, 416, 1672])).
% 4.01/4.25 tff(1677,plain,
% 4.01/4.25 (v16(constB2)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1669, 382, 1656])).
% 4.01/4.25 tff(1678,plain,
% 4.01/4.25 (v6(constB9, bitIndex1) | (~v19(constB9, bitIndex1))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[753, 747, 649])).
% 4.01/4.25 tff(1679,plain,
% 4.01/4.25 (~v19(constB9, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1678, 737])).
% 4.01/4.25 tff(1680,plain,
% 4.01/4.25 (~v6(constB8, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1171, 1679, 638, 388])).
% 4.01/4.25 tff(1681,plain,
% 4.01/4.25 (~v6(constB7, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1192, 1680])).
% 4.01/4.25 tff(1682,plain,
% 4.01/4.25 (~v935(constB7)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1225, 1681])).
% 4.01/4.25 tff(1683,plain,
% 4.01/4.25 (~v933(constB6)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1230, 1682])).
% 4.01/4.25 tff(1684,plain,
% 4.01/4.25 (v16(constB6)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1320, 382, 1683])).
% 4.01/4.25 tff(1685,plain,
% 4.01/4.25 ((~v16(constB6)) | (~v19(constB6, bitIndex0))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1336, 364, 1683])).
% 4.01/4.25 tff(1686,plain,
% 4.01/4.25 (~v19(constB6, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1685, 1684])).
% 4.01/4.25 tff(1687,plain,
% 4.01/4.25 (~v911(constB6)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1342, 416, 1686])).
% 4.01/4.25 tff(1688,plain,
% 4.01/4.25 (v947(constB8) | (~v19(constB8, bitIndex1))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[957, 400, 638])).
% 4.01/4.25 tff(1689,plain,
% 4.01/4.25 (~v19(constB8, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1688, 1240])).
% 4.01/4.25 tff(1690,plain,
% 4.01/4.25 (~v6(constB8, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1259, 1689, 1238])).
% 4.01/4.25 tff(1691,plain,
% 4.01/4.25 (~v6(constB7, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1280, 1690])).
% 4.01/4.25 tff(1692,plain,
% 4.01/4.25 (~v949(constB7)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1309, 1691])).
% 4.01/4.25 tff(1693,plain,
% 4.01/4.25 (~v947(constB6)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1314, 1692])).
% 4.01/4.25 tff(1694,plain,
% 4.01/4.25 (v947(constB6) | (~v19(constB6, bitIndex1))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1328, 400, 1684])).
% 4.01/4.25 tff(1695,plain,
% 4.01/4.25 (~v19(constB6, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1694, 1693])).
% 4.01/4.25 tff(1696,plain,
% 4.01/4.25 (~v918(constB6)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1347, 539, 1695])).
% 4.01/4.25 tff(1697,plain,
% 4.01/4.25 (~v6(constB6, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1400, 1696, 1687])).
% 4.01/4.25 tff(1698,plain,
% 4.01/4.25 (~v6(constB5, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1421, 1697])).
% 4.01/4.25 tff(1699,plain,
% 4.01/4.25 (~v935(constB5)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1454, 1698])).
% 4.01/4.25 tff(1700,plain,
% 4.01/4.25 (~v933(constB4)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1459, 1699])).
% 4.01/4.25 tff(1701,plain,
% 4.01/4.25 (v16(constB4)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1463, 382, 1700])).
% 4.01/4.25 tff(1702,assumption,(~v933(constB4)), introduced(assumption)).
% 4.01/4.25 tff(1703,assumption,(v19(constB4, bitIndex0)), introduced(assumption)).
% 4.01/4.25 tff(1704,plain,
% 4.01/4.25 (v933(constB4) | (~v16(constB4))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1470, 364, 1703])).
% 4.01/4.25 tff(1705,plain,
% 4.01/4.25 (~v16(constB4)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1704, 1702])).
% 4.01/4.25 tff(1706,plain,
% 4.01/4.25 ($false),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1463, 382, 1702, 1705])).
% 4.01/4.25 tff(1707,plain,(v933(constB4) | (~v19(constB4, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.01/4.25 tff(1708,plain,
% 4.01/4.25 (~v19(constB4, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1707, 1700])).
% 4.01/4.25 tff(1709,assumption,(v6(constB4, bitIndex1)), introduced(assumption)).
% 4.01/4.25 tff(1710,plain,
% 4.01/4.25 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB4, bitIndex1)) | (~v702(constB4)) | v19(constB4, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB4, bitIndex1)) | (~v702(constB4)) | v19(constB4, bitIndex0))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1711,plain,
% 4.01/4.25 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB4, bitIndex1)) | (~v702(constB4)) | v19(constB4, bitIndex0))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1712,plain,
% 4.01/4.25 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB4, bitIndex1)) | (~v702(constB4)) | v19(constB4, bitIndex0)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1711, 1710])).
% 4.01/4.25 tff(1713,plain,
% 4.01/4.25 ((~v702(constB4)) | v19(constB4, bitIndex0)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1712, 663, 1709])).
% 4.01/4.25 tff(1714,plain,
% 4.01/4.25 (~v702(constB4)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1713, 1708])).
% 4.01/4.25 tff(1715,plain,
% 4.01/4.25 (((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB4) | (~v6(constB4, bitIndex1)) | v19(constB4, bitIndex1))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB4) | (~v6(constB4, bitIndex1)) | v19(constB4, bitIndex1))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1716,plain,
% 4.01/4.25 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB4) | (~v6(constB4, bitIndex1)) | v19(constB4, bitIndex1))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1717,plain,
% 4.01/4.25 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB4) | (~v6(constB4, bitIndex1)) | v19(constB4, bitIndex1)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1716, 1715])).
% 4.01/4.25 tff(1718,plain,
% 4.01/4.25 (v702(constB4) | v19(constB4, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1717, 679, 1709])).
% 4.01/4.25 tff(1719,plain,
% 4.01/4.25 (v19(constB4, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1718, 1714])).
% 4.01/4.25 tff(1720,plain,
% 4.01/4.25 (v947(constB4) | (~v16(constB4))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1523, 400, 1719])).
% 4.01/4.25 tff(1721,plain,
% 4.01/4.25 (v947(constB4)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1720, 1701])).
% 4.01/4.25 tff(1722,plain,
% 4.01/4.25 (v949(constB5)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1529, 1721])).
% 4.01/4.25 tff(1723,plain,
% 4.01/4.25 (v6(constB5, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1558, 1722])).
% 4.01/4.25 tff(1724,plain,
% 4.01/4.25 (v6(constB6, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1579, 1723])).
% 4.01/4.25 tff(1725,plain,
% 4.01/4.25 ((~v6(constB6, bitIndex1)) | (~v702(constB6))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1586, 663, 1686])).
% 4.01/4.25 tff(1726,plain,
% 4.01/4.25 (~v702(constB6)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1725, 1724])).
% 4.01/4.25 tff(1727,plain,
% 4.01/4.25 (v702(constB6) | (~v6(constB6, bitIndex1))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1591, 679, 1695])).
% 4.01/4.25 tff(1728,plain,
% 4.01/4.25 ($false),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1727, 1726, 1724])).
% 4.01/4.25 tff(1729,plain,(v947(constB10) | (~v6(constB4, bitIndex1)) | v933(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.25 tff(1730,plain,
% 4.01/4.25 (~v6(constB4, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1729, 389, 353])).
% 4.01/4.25 tff(1731,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB3, constB4)) | v1(constB4) | (~v942(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB3, constB4)) | v1(constB4) | (~v942(constB4)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1732,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB3, constB4)) | v1(constB4) | (~v942(constB4)))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1733,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB3, constB4)) | v1(constB4) | (~v942(constB4))),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1732, 1731])).
% 4.01/4.25 tff(1734,plain,
% 4.01/4.25 (~v942(constB4)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1733, 696, 84, 91])).
% 4.01/4.25 tff(1735,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB3, constB4)) | v942(constB4) | (~v941(constB4)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB3, constB4)) | v942(constB4) | (~v941(constB4)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1736,plain,
% 4.01/4.25 (((~nextState(constB3, constB4)) | (~v941(constB4)) | v942(constB4)) <=> ((~nextState(constB3, constB4)) | v942(constB4) | (~v941(constB4)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1737,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB3, constB4)) | (~v941(constB4)) | v942(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB3, constB4)) | v942(constB4) | (~v941(constB4))))),
% 4.01/4.25 inference(monotonicity,[status(thm)],[1736])).
% 4.01/4.25 tff(1738,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB3, constB4)) | (~v941(constB4)) | v942(constB4))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB3, constB4)) | v942(constB4) | (~v941(constB4)))),
% 4.01/4.25 inference(transitivity,[status(thm)],[1737, 1735])).
% 4.01/4.25 tff(1739,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB3, constB4)) | (~v941(constB4)) | v942(constB4))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1740,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB3, constB4)) | v942(constB4) | (~v941(constB4))),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1739, 1738])).
% 4.01/4.25 tff(1741,plain,
% 4.01/4.25 (v942(constB4) | (~v941(constB4))),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1740, 710, 84])).
% 4.01/4.25 tff(1742,plain,
% 4.01/4.25 (~v941(constB4)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1741, 1734])).
% 4.01/4.25 tff(1743,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB3, bitIndex1)) | (~nextState(constB3, constB4)) | v941(constB4) | v6(constB4, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB3, bitIndex1)) | (~nextState(constB3, constB4)) | v941(constB4) | v6(constB4, bitIndex1))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1744,plain,
% 4.01/4.25 (((~nextState(constB3, constB4)) | (~v6(constB3, bitIndex1)) | v941(constB4) | v6(constB4, bitIndex1)) <=> ((~v6(constB3, bitIndex1)) | (~nextState(constB3, constB4)) | v941(constB4) | v6(constB4, bitIndex1))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1745,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v6(constB3, bitIndex1)) | v941(constB4) | v6(constB4, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB3, bitIndex1)) | (~nextState(constB3, constB4)) | v941(constB4) | v6(constB4, bitIndex1)))),
% 4.01/4.25 inference(monotonicity,[status(thm)],[1744])).
% 4.01/4.25 tff(1746,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v6(constB3, bitIndex1)) | v941(constB4) | v6(constB4, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB3, bitIndex1)) | (~nextState(constB3, constB4)) | v941(constB4) | v6(constB4, bitIndex1))),
% 4.01/4.25 inference(transitivity,[status(thm)],[1745, 1743])).
% 4.01/4.25 tff(1747,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB3, constB4)) | (~v6(constB3, bitIndex1)) | v941(constB4) | v6(constB4, bitIndex1))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1748,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB3, bitIndex1)) | (~nextState(constB3, constB4)) | v941(constB4) | v6(constB4, bitIndex1)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1747, 1746])).
% 4.01/4.25 tff(1749,plain,
% 4.01/4.25 ((~v6(constB3, bitIndex1)) | v941(constB4) | v6(constB4, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1748, 728, 84])).
% 4.01/4.25 tff(1750,plain,
% 4.01/4.25 ((~v6(constB3, bitIndex1)) | v6(constB4, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1749, 1742])).
% 4.01/4.25 tff(1751,plain,
% 4.01/4.25 (~v6(constB3, bitIndex1)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1750, 1730])).
% 4.01/4.25 tff(1752,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB2, constB3)) | v944(constB3) | v929(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB2, constB3)) | v944(constB3) | v929(constB3))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1753,plain,
% 4.01/4.25 (((~nextState(constB2, constB3)) | v929(constB3) | v944(constB3)) <=> ((~nextState(constB2, constB3)) | v944(constB3) | v929(constB3))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1754,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB2, constB3)) | v929(constB3) | v944(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB2, constB3)) | v944(constB3) | v929(constB3)))),
% 4.01/4.25 inference(monotonicity,[status(thm)],[1753])).
% 4.01/4.25 tff(1755,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB2, constB3)) | v929(constB3) | v944(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB2, constB3)) | v944(constB3) | v929(constB3))),
% 4.01/4.25 inference(transitivity,[status(thm)],[1754, 1752])).
% 4.01/4.25 tff(1756,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB2, constB3)) | v929(constB3) | v944(constB3))),
% 4.01/4.25 inference(quant_inst,[status(thm)],[])).
% 4.01/4.25 tff(1757,plain,
% 4.01/4.25 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB2, constB3)) | v944(constB3) | v929(constB3)),
% 4.01/4.25 inference(modus_ponens,[status(thm)],[1756, 1755])).
% 4.01/4.25 tff(1758,plain,
% 4.01/4.25 (v944(constB3) | v929(constB3)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1757, 181, 74])).
% 4.01/4.25 tff(1759,plain,
% 4.01/4.25 (v944(constB3)),
% 4.01/4.25 inference(unit_resolution,[status(thm)],[1758, 1625])).
% 4.01/4.25 tff(1760,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB2, constB3)) | v942(constB3) | (~v1(constB3)) | (~v944(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB2, constB3)) | v942(constB3) | (~v1(constB3)) | (~v944(constB3)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1761,plain,
% 4.01/4.25 (((~nextState(constB2, constB3)) | (~v1(constB3)) | v942(constB3) | (~v944(constB3))) <=> ((~nextState(constB2, constB3)) | v942(constB3) | (~v1(constB3)) | (~v944(constB3)))),
% 4.01/4.25 inference(rewrite,[status(thm)],[])).
% 4.01/4.25 tff(1762,plain,
% 4.01/4.25 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB2, constB3)) | (~v1(constB3)) | v942(constB3) | (~v944(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB2, constB3)) | v942(constB3) | (~v1(constB3)) | (~v944(constB3))))),
% 4.01/4.26 inference(monotonicity,[status(thm)],[1761])).
% 4.01/4.26 tff(1763,plain,
% 4.01/4.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB2, constB3)) | (~v1(constB3)) | v942(constB3) | (~v944(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB2, constB3)) | v942(constB3) | (~v1(constB3)) | (~v944(constB3)))),
% 4.01/4.26 inference(transitivity,[status(thm)],[1762, 1760])).
% 4.01/4.26 tff(1764,plain,
% 4.01/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB2, constB3)) | (~v1(constB3)) | v942(constB3) | (~v944(constB3)))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1765,plain,
% 4.01/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB2, constB3)) | v942(constB3) | (~v1(constB3)) | (~v944(constB3))),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 4.01/4.26 tff(1766,plain,
% 4.01/4.26 (v942(constB3) | (~v944(constB3))),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1765, 206, 74, 81])).
% 4.01/4.26 tff(1767,plain,
% 4.01/4.26 (v942(constB3)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1766, 1759])).
% 4.01/4.26 tff(1768,plain,
% 4.01/4.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB2, constB3)) | v941(constB3) | (~v942(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB2, constB3)) | v941(constB3) | (~v942(constB3)))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1769,plain,
% 4.01/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB2, constB3)) | v941(constB3) | (~v942(constB3)))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1770,plain,
% 4.01/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB2, constB3)) | v941(constB3) | (~v942(constB3))),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1769, 1768])).
% 4.01/4.26 tff(1771,plain,
% 4.01/4.26 (v941(constB3) | (~v942(constB3))),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1770, 224, 74])).
% 4.01/4.26 tff(1772,plain,
% 4.01/4.26 (v941(constB3)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1771, 1767])).
% 4.01/4.26 tff(1773,plain,
% 4.01/4.26 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB3, bitIndex1) | (~v949(constB3)) | (~v941(constB3)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB3, bitIndex1) | (~v949(constB3)) | (~v941(constB3)))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1774,plain,
% 4.01/4.26 ((v6(constB3, bitIndex1) | (~v941(constB3)) | (~v949(constB3))) <=> (v6(constB3, bitIndex1) | (~v949(constB3)) | (~v941(constB3)))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1775,plain,
% 4.01/4.26 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB3, bitIndex1) | (~v941(constB3)) | (~v949(constB3)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB3, bitIndex1) | (~v949(constB3)) | (~v941(constB3))))),
% 4.01/4.26 inference(monotonicity,[status(thm)],[1774])).
% 4.01/4.26 tff(1776,plain,
% 4.01/4.26 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB3, bitIndex1) | (~v941(constB3)) | (~v949(constB3)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB3, bitIndex1) | (~v949(constB3)) | (~v941(constB3)))),
% 4.01/4.26 inference(transitivity,[status(thm)],[1775, 1773])).
% 4.01/4.26 tff(1777,plain,
% 4.01/4.26 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB3, bitIndex1) | (~v941(constB3)) | (~v949(constB3)))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1778,plain,
% 4.01/4.26 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB3, bitIndex1) | (~v949(constB3)) | (~v941(constB3))),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1777, 1776])).
% 4.01/4.26 tff(1779,plain,
% 4.01/4.26 (v6(constB3, bitIndex1) | (~v949(constB3))),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1778, 239, 1772])).
% 4.01/4.26 tff(1780,plain,
% 4.01/4.26 (~v949(constB3)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1779, 1751])).
% 4.01/4.26 tff(1781,plain,
% 4.01/4.26 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB2, constB3)) | (~v947(constB2)) | v949(constB3))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB2, constB3)) | (~v947(constB2)) | v949(constB3))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1782,plain,
% 4.01/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB2, constB3)) | (~v947(constB2)) | v949(constB3))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1783,plain,
% 4.01/4.26 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB2, constB3)) | (~v947(constB2)) | v949(constB3)),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1782, 1781])).
% 4.01/4.26 tff(1784,plain,
% 4.01/4.26 ((~v947(constB2)) | v949(constB3)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1783, 257, 74])).
% 4.01/4.26 tff(1785,plain,
% 4.01/4.26 (~v947(constB2)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1784, 1780])).
% 4.01/4.26 tff(1786,plain,
% 4.01/4.26 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex1)))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1787,plain,
% 4.01/4.26 (((~v16(constB2)) | (~v19(constB2, bitIndex1)) | v947(constB2)) <=> (v947(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex1)))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1788,plain,
% 4.01/4.26 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB2)) | (~v19(constB2, bitIndex1)) | v947(constB2))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex1))))),
% 4.01/4.26 inference(monotonicity,[status(thm)],[1787])).
% 4.01/4.26 tff(1789,plain,
% 4.01/4.26 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB2)) | (~v19(constB2, bitIndex1)) | v947(constB2))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex1)))),
% 4.01/4.26 inference(transitivity,[status(thm)],[1788, 1786])).
% 4.01/4.26 tff(1790,plain,
% 4.01/4.26 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB2)) | (~v19(constB2, bitIndex1)) | v947(constB2))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1791,plain,
% 4.01/4.26 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB2) | (~v16(constB2)) | (~v19(constB2, bitIndex1))),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1790, 1789])).
% 4.01/4.26 tff(1792,plain,
% 4.01/4.26 ((~v16(constB2)) | (~v19(constB2, bitIndex1))),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1791, 400, 1785])).
% 4.01/4.26 tff(1793,plain,
% 4.01/4.26 (~v19(constB2, bitIndex1)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1792, 1677])).
% 4.01/4.26 tff(1794,plain,
% 4.01/4.26 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB2)) | v19(constB2, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB2)) | v19(constB2, bitIndex1))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1795,plain,
% 4.01/4.26 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB2)) | v19(constB2, bitIndex1))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1796,plain,
% 4.01/4.26 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB2)) | v19(constB2, bitIndex1)),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 4.01/4.26 tff(1797,plain,
% 4.01/4.26 (~v918(constB2)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1796, 539, 1793])).
% 4.01/4.26 tff(1798,assumption,(~v933(constB0)), introduced(assumption)).
% 4.01/4.26 tff(1799,assumption,(v25(constB0, bitIndex3)), introduced(assumption)).
% 4.01/4.26 tff(1800,plain,
% 4.01/4.26 (^[B: $i] : refl((~v25(constB0, B)) <=> (~v25(constB0, B)))),
% 4.01/4.26 inference(bind,[status(th)],[])).
% 4.01/4.26 tff(1801,plain,
% 4.01/4.26 (![B: $i] : (~v25(constB0, B)) <=> ![B: $i] : (~v25(constB0, B))),
% 4.01/4.26 inference(quant_intro,[status(thm)],[1800])).
% 4.01/4.26 tff(1802,plain,
% 4.01/4.26 (![B: $i] : (~v25(constB0, B)) <=> ![B: $i] : (~v25(constB0, B))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1803,axiom,(![B: $i] : (~v25(constB0, B))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10202')).
% 4.01/4.26 tff(1804,plain,
% 4.01/4.26 (![B: $i] : (~v25(constB0, B))),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1803, 1802])).
% 4.01/4.26 tff(1805,plain,(
% 4.01/4.26 ![B: $i] : (~v25(constB0, B))),
% 4.01/4.26 inference(skolemize,[status(sab)],[1804])).
% 4.01/4.26 tff(1806,plain,
% 4.01/4.26 (![B: $i] : (~v25(constB0, B))),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1805, 1801])).
% 4.01/4.26 tff(1807,plain,
% 4.01/4.26 ((~![B: $i] : (~v25(constB0, B))) | (~v25(constB0, bitIndex3))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1808,plain,
% 4.01/4.26 ($false),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1807, 1806, 1799])).
% 4.01/4.26 tff(1809,plain,(~v25(constB0, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.26 tff(1810,assumption,(v25(constB0, bitIndex0)), introduced(assumption)).
% 4.01/4.26 tff(1811,plain,
% 4.01/4.26 ((~![B: $i] : (~v25(constB0, B))) | (~v25(constB0, bitIndex0))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1812,plain,
% 4.01/4.26 ($false),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1811, 1806, 1810])).
% 4.01/4.26 tff(1813,plain,(~v25(constB0, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.26 tff(1814,assumption,(v25(constB0, bitIndex2)), introduced(assumption)).
% 4.01/4.26 tff(1815,plain,
% 4.01/4.26 ((~![B: $i] : (~v25(constB0, B))) | (~v25(constB0, bitIndex2))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1816,plain,
% 4.01/4.26 ($false),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1815, 1806, 1814])).
% 4.01/4.26 tff(1817,plain,(~v25(constB0, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.26 tff(1818,assumption,(v25(constB0, bitIndex4)), introduced(assumption)).
% 4.01/4.26 tff(1819,plain,
% 4.01/4.26 ((~![B: $i] : (~v25(constB0, B))) | (~v25(constB0, bitIndex4))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1820,plain,
% 4.01/4.26 ($false),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1819, 1806, 1818])).
% 4.01/4.26 tff(1821,plain,(~v25(constB0, bitIndex4)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.26 tff(1822,assumption,(v25(constB0, bitIndex1)), introduced(assumption)).
% 4.01/4.26 tff(1823,plain,
% 4.01/4.26 ((~![B: $i] : (~v25(constB0, B))) | (~v25(constB0, bitIndex1))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1824,plain,
% 4.01/4.26 ($false),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1823, 1806, 1822])).
% 4.01/4.26 tff(1825,plain,(~v25(constB0, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.01/4.26 tff(1826,plain,
% 4.01/4.26 (v6(constB0, bitIndex0) <=> v6(constB0, bitIndex0)),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1827,axiom,(v6(constB0, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10545')).
% 4.01/4.26 tff(1828,plain,
% 4.01/4.26 (v6(constB0, bitIndex0)),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1827, 1826])).
% 4.01/4.26 tff(1829,plain,
% 4.01/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB0, bitIndex0)) | v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | v911(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB0, bitIndex0)) | v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | v911(constB0))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1830,plain,
% 4.01/4.26 (((~v6(constB0, bitIndex0)) | v25(constB0, bitIndex1) | v25(constB0, bitIndex0) | v25(constB0, bitIndex2) | v25(constB0, bitIndex3) | v25(constB0, bitIndex4) | v911(constB0)) <=> ((~v6(constB0, bitIndex0)) | v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | v911(constB0))),
% 4.01/4.26 inference(rewrite,[status(thm)],[])).
% 4.01/4.26 tff(1831,plain,
% 4.01/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB0, bitIndex0)) | v25(constB0, bitIndex1) | v25(constB0, bitIndex0) | v25(constB0, bitIndex2) | v25(constB0, bitIndex3) | v25(constB0, bitIndex4) | v911(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB0, bitIndex0)) | v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | v911(constB0)))),
% 4.01/4.26 inference(monotonicity,[status(thm)],[1830])).
% 4.01/4.26 tff(1832,plain,
% 4.01/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB0, bitIndex0)) | v25(constB0, bitIndex1) | v25(constB0, bitIndex0) | v25(constB0, bitIndex2) | v25(constB0, bitIndex3) | v25(constB0, bitIndex4) | v911(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB0, bitIndex0)) | v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | v911(constB0))),
% 4.01/4.26 inference(transitivity,[status(thm)],[1831, 1829])).
% 4.01/4.26 tff(1833,plain,
% 4.01/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB0, bitIndex0)) | v25(constB0, bitIndex1) | v25(constB0, bitIndex0) | v25(constB0, bitIndex2) | v25(constB0, bitIndex3) | v25(constB0, bitIndex4) | v911(constB0))),
% 4.01/4.26 inference(quant_inst,[status(thm)],[])).
% 4.01/4.26 tff(1834,plain,
% 4.01/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB0, bitIndex0)) | v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | v911(constB0)),
% 4.01/4.26 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 4.01/4.26 tff(1835,plain,
% 4.01/4.26 (v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | v911(constB0)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1834, 1828, 522])).
% 4.01/4.26 tff(1836,plain,
% 4.01/4.26 (v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v911(constB0)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1835, 1825])).
% 4.01/4.26 tff(1837,plain,
% 4.01/4.26 (v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v911(constB0)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1836, 1821])).
% 4.01/4.26 tff(1838,plain,
% 4.01/4.26 (v911(constB0)),
% 4.01/4.26 inference(unit_resolution,[status(thm)],[1837, 1817, 1813, 1809])).
% 4.01/4.26 tff(1839,plain,
% 4.01/4.26 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB0)) | v19(constB0, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB0)) | v19(constB0, bitIndex0))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1840,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB0)) | v19(constB0, bitIndex0))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(1841,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB0)) | v19(constB0, bitIndex0)),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 4.10/4.26 tff(1842,plain,
% 4.10/4.26 (v19(constB0, bitIndex0)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1841, 416, 1838])).
% 4.10/4.26 tff(1843,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex0)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1844,plain,
% 4.10/4.26 (((~v16(constB0)) | (~v19(constB0, bitIndex0)) | v933(constB0)) <=> (v933(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex0)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1845,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB0)) | (~v19(constB0, bitIndex0)) | v933(constB0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex0))))),
% 4.10/4.26 inference(monotonicity,[status(thm)],[1844])).
% 4.10/4.26 tff(1846,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB0)) | (~v19(constB0, bitIndex0)) | v933(constB0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex0)))),
% 4.10/4.26 inference(transitivity,[status(thm)],[1845, 1843])).
% 4.10/4.26 tff(1847,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB0)) | (~v19(constB0, bitIndex0)) | v933(constB0))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(1848,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex0))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1847, 1846])).
% 4.10/4.26 tff(1849,plain,
% 4.10/4.26 (v933(constB0) | (~v16(constB0))),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1848, 364, 1842])).
% 4.10/4.26 tff(1850,plain,
% 4.10/4.26 (~v16(constB0)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1849, 1798])).
% 4.10/4.26 tff(1851,plain,
% 4.10/4.26 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB0) | v933(constB0))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB0) | v933(constB0))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1852,plain,
% 4.10/4.26 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB0) | v933(constB0))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(1853,plain,
% 4.10/4.26 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB0) | v933(constB0)),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1852, 1851])).
% 4.10/4.26 tff(1854,plain,
% 4.10/4.26 (v16(constB0)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1853, 382, 1798])).
% 4.10/4.26 tff(1855,plain,
% 4.10/4.26 ((~v16(constB0)) | (~v19(constB0, bitIndex0))),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1848, 364, 1798])).
% 4.10/4.26 tff(1856,plain,
% 4.10/4.26 (~v19(constB0, bitIndex0)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1855, 1854])).
% 4.10/4.26 tff(1857,plain,
% 4.10/4.26 (~v911(constB0)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1841, 416, 1856])).
% 4.10/4.26 tff(1858,assumption,(~v947(constB0)), introduced(assumption)).
% 4.10/4.26 tff(1859,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex1)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1860,plain,
% 4.10/4.26 (((~v16(constB0)) | (~v19(constB0, bitIndex1)) | v947(constB0)) <=> (v947(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex1)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1861,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB0)) | (~v19(constB0, bitIndex1)) | v947(constB0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex1))))),
% 4.10/4.26 inference(monotonicity,[status(thm)],[1860])).
% 4.10/4.26 tff(1862,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB0)) | (~v19(constB0, bitIndex1)) | v947(constB0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex1)))),
% 4.10/4.26 inference(transitivity,[status(thm)],[1861, 1859])).
% 4.10/4.26 tff(1863,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB0)) | (~v19(constB0, bitIndex1)) | v947(constB0))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(1864,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB0) | (~v16(constB0)) | (~v19(constB0, bitIndex1))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1863, 1862])).
% 4.10/4.26 tff(1865,plain,
% 4.10/4.26 ((~v16(constB0)) | (~v19(constB0, bitIndex1))),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1864, 400, 1858])).
% 4.10/4.26 tff(1866,plain,
% 4.10/4.26 (~v19(constB0, bitIndex1)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1865, 1854])).
% 4.10/4.26 tff(1867,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB0)) | v19(constB0, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB0)) | v19(constB0, bitIndex1))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1868,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB0)) | v19(constB0, bitIndex1))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(1869,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB0)) | v19(constB0, bitIndex1)),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1868, 1867])).
% 4.10/4.26 tff(1870,plain,
% 4.10/4.26 (~v918(constB0)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1869, 539, 1866])).
% 4.10/4.26 tff(1871,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex1)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1872,plain,
% 4.10/4.26 (((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex1)) | v918(constB0)) <=> ((~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex1)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1873,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex1)) | v918(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex1))))),
% 4.10/4.26 inference(monotonicity,[status(thm)],[1872])).
% 4.10/4.26 tff(1874,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex1)) | v918(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex1)))),
% 4.10/4.26 inference(transitivity,[status(thm)],[1873, 1871])).
% 4.10/4.26 tff(1875,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex1)) | v918(constB0))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(1876,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex1))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1875, 1874])).
% 4.10/4.26 tff(1877,plain,
% 4.10/4.26 (v918(constB0) | (~v25(constB0, bitIndex1))),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1876, 1828, 431])).
% 4.10/4.26 tff(1878,plain,
% 4.10/4.26 (~v25(constB0, bitIndex1)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1877, 1870])).
% 4.10/4.26 tff(1879,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex0)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1880,plain,
% 4.10/4.26 (((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex0)) | v918(constB0)) <=> ((~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex0)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1881,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex0)) | v918(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex0))))),
% 4.10/4.26 inference(monotonicity,[status(thm)],[1880])).
% 4.10/4.26 tff(1882,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex0)) | v918(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex0)))),
% 4.10/4.26 inference(transitivity,[status(thm)],[1881, 1879])).
% 4.10/4.26 tff(1883,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex0)) | v918(constB0))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(1884,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex0))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1883, 1882])).
% 4.10/4.26 tff(1885,plain,
% 4.10/4.26 (v918(constB0) | (~v25(constB0, bitIndex0))),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1884, 1828, 449])).
% 4.10/4.26 tff(1886,plain,
% 4.10/4.26 (~v25(constB0, bitIndex0)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1885, 1870])).
% 4.10/4.26 tff(1887,assumption,(~v25(constB0, bitIndex2)), introduced(assumption)).
% 4.10/4.26 tff(1888,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex4)) | v918(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex4)) | v918(constB0))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1889,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex4)) | v918(constB0))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(1890,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex4)) | v918(constB0)),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1889, 1888])).
% 4.10/4.26 tff(1891,plain,
% 4.10/4.26 ((~v25(constB0, bitIndex4)) | v918(constB0)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1890, 1828, 485])).
% 4.10/4.26 tff(1892,plain,
% 4.10/4.26 (~v25(constB0, bitIndex4)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1891, 1870])).
% 4.10/4.26 tff(1893,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex3)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1894,plain,
% 4.10/4.26 (((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex3)) | v918(constB0)) <=> ((~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex3)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1895,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex3)) | v918(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex3))))),
% 4.10/4.26 inference(monotonicity,[status(thm)],[1894])).
% 4.10/4.26 tff(1896,plain,
% 4.10/4.26 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex3)) | v918(constB0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex3)))),
% 4.10/4.26 inference(transitivity,[status(thm)],[1895, 1893])).
% 4.10/4.26 tff(1897,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB0, bitIndex0)) | (~v25(constB0, bitIndex3)) | v918(constB0))),
% 4.10/4.26 inference(quant_inst,[status(thm)],[])).
% 4.10/4.26 tff(1898,plain,
% 4.10/4.26 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB0, bitIndex0)) | v918(constB0) | (~v25(constB0, bitIndex3))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1897, 1896])).
% 4.10/4.26 tff(1899,plain,
% 4.10/4.26 (v918(constB0) | (~v25(constB0, bitIndex3))),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1898, 1828, 503])).
% 4.10/4.26 tff(1900,plain,
% 4.10/4.26 (~v25(constB0, bitIndex3)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1899, 1870])).
% 4.10/4.26 tff(1901,plain,
% 4.10/4.26 ($false),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1835, 1900, 1892, 1887, 1886, 1878, 1857])).
% 4.10/4.26 tff(1902,plain,(v933(constB0) | v25(constB0, bitIndex2) | v947(constB0)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.26 tff(1903,plain,
% 4.10/4.26 (v947(constB0)),
% 4.10/4.26 inference(unit_resolution,[status(thm)],[1902, 1798, 1817])).
% 4.10/4.26 tff(1904,plain,
% 4.10/4.26 (^[VarCurr: $i] : refl((v16(VarCurr) | (~v947(VarCurr))) <=> (v16(VarCurr) | (~v947(VarCurr))))),
% 4.10/4.26 inference(bind,[status(th)],[])).
% 4.10/4.26 tff(1905,plain,
% 4.10/4.26 (![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr))) <=> ![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))),
% 4.10/4.26 inference(quant_intro,[status(thm)],[1904])).
% 4.10/4.26 tff(1906,plain,
% 4.10/4.26 (![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr))) <=> ![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1907,plain,
% 4.10/4.26 (^[VarCurr: $i] : rewrite(((~v947(VarCurr)) | v16(VarCurr)) <=> (v16(VarCurr) | (~v947(VarCurr))))),
% 4.10/4.26 inference(bind,[status(th)],[])).
% 4.10/4.26 tff(1908,plain,
% 4.10/4.26 (![VarCurr: $i] : ((~v947(VarCurr)) | v16(VarCurr)) <=> ![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))),
% 4.10/4.26 inference(quant_intro,[status(thm)],[1907])).
% 4.10/4.26 tff(1909,axiom,(![VarCurr: $i] : ((~v947(VarCurr)) | v16(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9858')).
% 4.10/4.26 tff(1910,plain,
% 4.10/4.26 (![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 4.10/4.26 tff(1911,plain,
% 4.10/4.26 (![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1910, 1906])).
% 4.10/4.26 tff(1912,plain,(
% 4.10/4.26 ![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))),
% 4.10/4.26 inference(skolemize,[status(sab)],[1911])).
% 4.10/4.26 tff(1913,plain,
% 4.10/4.26 (![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))),
% 4.10/4.26 inference(modus_ponens,[status(thm)],[1912, 1905])).
% 4.10/4.26 tff(1914,plain,
% 4.10/4.26 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB0) | (~v947(constB0)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB0) | (~v947(constB0)))),
% 4.10/4.26 inference(rewrite,[status(thm)],[])).
% 4.10/4.26 tff(1915,plain,
% 4.10/4.26 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB0) | (~v947(constB0)))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1916,plain,
% 4.10/4.27 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB0) | (~v947(constB0))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1915, 1914])).
% 4.10/4.27 tff(1917,plain,
% 4.10/4.27 ($false),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1916, 1913, 1903, 1850])).
% 4.10/4.27 tff(1918,plain,(v933(constB0)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.27 tff(1919,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB0, constB1)) | (~v933(constB0)) | v935(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB0, constB1)) | (~v933(constB0)) | v935(constB1))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1920,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB0, constB1)) | (~v933(constB0)) | v935(constB1))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1921,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB0, constB1)) | (~v933(constB0)) | v935(constB1)),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1920, 1919])).
% 4.10/4.27 tff(1922,plain,
% 4.10/4.27 ((~v933(constB0)) | v935(constB1)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1921, 347, 31])).
% 4.10/4.27 tff(1923,plain,
% 4.10/4.27 (v935(constB1)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1922, 1918])).
% 4.10/4.27 tff(1924,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB0) | (~nextState(constB0, constB1)) | (~v929(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB0) | (~nextState(constB0, constB1)) | (~v929(constB1)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1925,plain,
% 4.10/4.27 (((~nextState(constB0, constB1)) | v1(constB0) | (~v929(constB1))) <=> (v1(constB0) | (~nextState(constB0, constB1)) | (~v929(constB1)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1926,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB0, constB1)) | v1(constB0) | (~v929(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB0) | (~nextState(constB0, constB1)) | (~v929(constB1))))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[1925])).
% 4.10/4.27 tff(1927,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB0, constB1)) | v1(constB0) | (~v929(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB0) | (~nextState(constB0, constB1)) | (~v929(constB1)))),
% 4.10/4.27 inference(transitivity,[status(thm)],[1926, 1924])).
% 4.10/4.27 tff(1928,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB0, constB1)) | v1(constB0) | (~v929(constB1)))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1929,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB0) | (~nextState(constB0, constB1)) | (~v929(constB1))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 4.10/4.27 tff(1930,plain,
% 4.10/4.27 (~v929(constB1)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1929, 164, 44, 31])).
% 4.10/4.27 tff(1931,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB0, constB1)) | v929(constB1) | v927(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB0, constB1)) | v929(constB1) | v927(constB1))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1932,plain,
% 4.10/4.27 (((~nextState(constB0, constB1)) | v927(constB1) | v929(constB1)) <=> ((~nextState(constB0, constB1)) | v929(constB1) | v927(constB1))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1933,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB0, constB1)) | v927(constB1) | v929(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB0, constB1)) | v929(constB1) | v927(constB1)))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[1932])).
% 4.10/4.27 tff(1934,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB0, constB1)) | v927(constB1) | v929(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB0, constB1)) | v929(constB1) | v927(constB1))),
% 4.10/4.27 inference(transitivity,[status(thm)],[1933, 1931])).
% 4.10/4.27 tff(1935,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB0, constB1)) | v927(constB1) | v929(constB1))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1936,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB0, constB1)) | v929(constB1) | v927(constB1)),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1935, 1934])).
% 4.10/4.27 tff(1937,plain,
% 4.10/4.27 (v929(constB1) | v927(constB1)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1936, 281, 31])).
% 4.10/4.27 tff(1938,plain,
% 4.10/4.27 (v927(constB1)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1937, 1930])).
% 4.10/4.27 tff(1939,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB0, constB1)) | (~v1(constB1)) | v926(constB1) | (~v927(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB0, constB1)) | (~v1(constB1)) | v926(constB1) | (~v927(constB1)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1940,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB0, constB1)) | (~v1(constB1)) | v926(constB1) | (~v927(constB1)))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1941,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB0, constB1)) | (~v1(constB1)) | v926(constB1) | (~v927(constB1))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1940, 1939])).
% 4.10/4.27 tff(1942,plain,
% 4.10/4.27 (v926(constB1) | (~v927(constB1))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1941, 299, 31, 51])).
% 4.10/4.27 tff(1943,plain,
% 4.10/4.27 (v926(constB1)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1942, 1938])).
% 4.10/4.27 tff(1944,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB0, constB1)) | v925(constB1) | (~v926(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB0, constB1)) | v925(constB1) | (~v926(constB1)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1945,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB0, constB1)) | v925(constB1) | (~v926(constB1)))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1946,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB0, constB1)) | v925(constB1) | (~v926(constB1))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1945, 1944])).
% 4.10/4.27 tff(1947,plain,
% 4.10/4.27 (v925(constB1) | (~v926(constB1))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1946, 314, 31])).
% 4.10/4.27 tff(1948,plain,
% 4.10/4.27 (v925(constB1)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1947, 1943])).
% 4.10/4.27 tff(1949,plain,
% 4.10/4.27 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB1, bitIndex0) | (~v935(constB1)) | (~v925(constB1)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB1, bitIndex0) | (~v935(constB1)) | (~v925(constB1)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1950,plain,
% 4.10/4.27 ((v6(constB1, bitIndex0) | (~v925(constB1)) | (~v935(constB1))) <=> (v6(constB1, bitIndex0) | (~v935(constB1)) | (~v925(constB1)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1951,plain,
% 4.10/4.27 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB1, bitIndex0) | (~v925(constB1)) | (~v935(constB1)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB1, bitIndex0) | (~v935(constB1)) | (~v925(constB1))))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[1950])).
% 4.10/4.27 tff(1952,plain,
% 4.10/4.27 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB1, bitIndex0) | (~v925(constB1)) | (~v935(constB1)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB1, bitIndex0) | (~v935(constB1)) | (~v925(constB1)))),
% 4.10/4.27 inference(transitivity,[status(thm)],[1951, 1949])).
% 4.10/4.27 tff(1953,plain,
% 4.10/4.27 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB1, bitIndex0) | (~v925(constB1)) | (~v935(constB1)))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1954,plain,
% 4.10/4.27 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB1, bitIndex0) | (~v935(constB1)) | (~v925(constB1))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 4.10/4.27 tff(1955,plain,
% 4.10/4.27 (v6(constB1, bitIndex0) | (~v935(constB1))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1954, 329, 1948])).
% 4.10/4.27 tff(1956,plain,
% 4.10/4.27 (v6(constB1, bitIndex0)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1955, 1923])).
% 4.10/4.27 tff(1957,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB1, constB2)) | v1(constB2) | (~v926(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB1, constB2)) | v1(constB2) | (~v926(constB2)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1958,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB1, constB2)) | v1(constB2) | (~v926(constB2)))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1959,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB1, constB2)) | v1(constB2) | (~v926(constB2))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1958, 1957])).
% 4.10/4.27 tff(1960,plain,
% 4.10/4.27 (~v926(constB2)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1959, 555, 54, 71])).
% 4.10/4.27 tff(1961,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB1, constB2)) | v926(constB2) | (~v925(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB1, constB2)) | v926(constB2) | (~v925(constB2)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1962,plain,
% 4.10/4.27 (((~nextState(constB1, constB2)) | (~v925(constB2)) | v926(constB2)) <=> ((~nextState(constB1, constB2)) | v926(constB2) | (~v925(constB2)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1963,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB1, constB2)) | (~v925(constB2)) | v926(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB1, constB2)) | v926(constB2) | (~v925(constB2))))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[1962])).
% 4.10/4.27 tff(1964,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB1, constB2)) | (~v925(constB2)) | v926(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB1, constB2)) | v926(constB2) | (~v925(constB2)))),
% 4.10/4.27 inference(transitivity,[status(thm)],[1963, 1961])).
% 4.10/4.27 tff(1965,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB1, constB2)) | (~v925(constB2)) | v926(constB2))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1966,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB1, constB2)) | v926(constB2) | (~v925(constB2))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1965, 1964])).
% 4.10/4.27 tff(1967,plain,
% 4.10/4.27 (v926(constB2) | (~v925(constB2))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1966, 569, 54])).
% 4.10/4.27 tff(1968,plain,
% 4.10/4.27 (~v925(constB2)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1967, 1960])).
% 4.10/4.27 tff(1969,plain,
% 4.10/4.27 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v6(constB1, bitIndex0)) | v925(constB2) | v6(constB2, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v6(constB1, bitIndex0)) | v925(constB2) | v6(constB2, bitIndex0))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1970,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB1, constB2)) | (~v6(constB1, bitIndex0)) | v925(constB2) | v6(constB2, bitIndex0))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1971,plain,
% 4.10/4.27 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~nextState(constB1, constB2)) | (~v6(constB1, bitIndex0)) | v925(constB2) | v6(constB2, bitIndex0)),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1970, 1969])).
% 4.10/4.27 tff(1972,plain,
% 4.10/4.27 ((~v6(constB1, bitIndex0)) | v925(constB2) | v6(constB2, bitIndex0)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1971, 587, 54])).
% 4.10/4.27 tff(1973,plain,
% 4.10/4.27 ((~v6(constB1, bitIndex0)) | v6(constB2, bitIndex0)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1972, 1968])).
% 4.10/4.27 tff(1974,plain,
% 4.10/4.27 (v6(constB2, bitIndex0)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1973, 1956])).
% 4.10/4.27 tff(1975,assumption,(~v911(constB2)), introduced(assumption)).
% 4.10/4.27 tff(1976,assumption,(~v918(constB2)), introduced(assumption)).
% 4.10/4.27 tff(1977,assumption,(v6(constB2, bitIndex0)), introduced(assumption)).
% 4.10/4.27 tff(1978,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex1)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1979,plain,
% 4.10/4.27 (((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex1)) | v918(constB2)) <=> ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex1)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1980,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex1)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex1))))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[1979])).
% 4.10/4.27 tff(1981,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex1)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex1)))),
% 4.10/4.27 inference(transitivity,[status(thm)],[1980, 1978])).
% 4.10/4.27 tff(1982,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex1)) | v918(constB2))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1983,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex1))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1982, 1981])).
% 4.10/4.27 tff(1984,plain,
% 4.10/4.27 (v918(constB2) | (~v25(constB2, bitIndex1))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1983, 431, 1977])).
% 4.10/4.27 tff(1985,plain,
% 4.10/4.27 (~v25(constB2, bitIndex1)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1984, 1976])).
% 4.10/4.27 tff(1986,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex0)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1987,plain,
% 4.10/4.27 (((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex0)) | v918(constB2)) <=> ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex0)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1988,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex0)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex0))))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[1987])).
% 4.10/4.27 tff(1989,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex0)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex0)))),
% 4.10/4.27 inference(transitivity,[status(thm)],[1988, 1986])).
% 4.10/4.27 tff(1990,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex0)) | v918(constB2))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1991,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex0))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1990, 1989])).
% 4.10/4.27 tff(1992,plain,
% 4.10/4.27 (v918(constB2) | (~v25(constB2, bitIndex0))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1991, 449, 1977])).
% 4.10/4.27 tff(1993,plain,
% 4.10/4.27 (~v25(constB2, bitIndex0)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1992, 1976])).
% 4.10/4.27 tff(1994,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex2)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1995,plain,
% 4.10/4.27 (((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex2)) | v918(constB2)) <=> ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex2)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(1996,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex2)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex2))))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[1995])).
% 4.10/4.27 tff(1997,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex2)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex2)))),
% 4.10/4.27 inference(transitivity,[status(thm)],[1996, 1994])).
% 4.10/4.27 tff(1998,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex2)) | v918(constB2))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(1999,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex2))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 4.10/4.27 tff(2000,plain,
% 4.10/4.27 (v918(constB2) | (~v25(constB2, bitIndex2))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1999, 467, 1977])).
% 4.10/4.27 tff(2001,plain,
% 4.10/4.27 (~v25(constB2, bitIndex2)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2000, 1976])).
% 4.10/4.27 tff(2002,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex4)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(2003,plain,
% 4.10/4.27 (((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex4)) | v918(constB2)) <=> ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex4)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(2004,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex4)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex4))))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[2003])).
% 4.10/4.27 tff(2005,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex4)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex4)))),
% 4.10/4.27 inference(transitivity,[status(thm)],[2004, 2002])).
% 4.10/4.27 tff(2006,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex4)) | v918(constB2))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(2007,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex4))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[2006, 2005])).
% 4.10/4.27 tff(2008,plain,
% 4.10/4.27 (v918(constB2) | (~v25(constB2, bitIndex4))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2007, 485, 1977])).
% 4.10/4.27 tff(2009,plain,
% 4.10/4.27 (~v25(constB2, bitIndex4)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2008, 1976])).
% 4.10/4.27 tff(2010,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex3)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(2011,plain,
% 4.10/4.27 (((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex3)) | v918(constB2)) <=> ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex3)))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(2012,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex3)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex3))))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[2011])).
% 4.10/4.27 tff(2013,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex3)) | v918(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex3)))),
% 4.10/4.27 inference(transitivity,[status(thm)],[2012, 2010])).
% 4.10/4.27 tff(2014,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB2, bitIndex0)) | (~v25(constB2, bitIndex3)) | v918(constB2))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(2015,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB2, bitIndex0)) | v918(constB2) | (~v25(constB2, bitIndex3))),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 4.10/4.27 tff(2016,plain,
% 4.10/4.27 (v918(constB2) | (~v25(constB2, bitIndex3))),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2015, 503, 1977])).
% 4.10/4.27 tff(2017,plain,
% 4.10/4.27 (~v25(constB2, bitIndex3)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2016, 1976])).
% 4.10/4.27 tff(2018,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB2, bitIndex0)) | v911(constB2) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB2, bitIndex0)) | v911(constB2) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(2019,plain,
% 4.10/4.27 (((~v6(constB2, bitIndex0)) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4) | v911(constB2)) <=> ((~v6(constB2, bitIndex0)) | v911(constB2) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4))),
% 4.10/4.27 inference(rewrite,[status(thm)],[])).
% 4.10/4.27 tff(2020,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB2, bitIndex0)) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4) | v911(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB2, bitIndex0)) | v911(constB2) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4)))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[2019])).
% 4.10/4.27 tff(2021,plain,
% 4.10/4.27 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB2, bitIndex0)) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4) | v911(constB2))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB2, bitIndex0)) | v911(constB2) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4))),
% 4.10/4.27 inference(transitivity,[status(thm)],[2020, 2018])).
% 4.10/4.27 tff(2022,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB2, bitIndex0)) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4) | v911(constB2))),
% 4.10/4.27 inference(quant_inst,[status(thm)],[])).
% 4.10/4.27 tff(2023,plain,
% 4.10/4.27 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB2, bitIndex0)) | v911(constB2) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4)),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[2022, 2021])).
% 4.10/4.27 tff(2024,plain,
% 4.10/4.27 (v911(constB2) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2023, 522, 1977])).
% 4.10/4.27 tff(2025,plain,
% 4.10/4.27 ($false),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2024, 2017, 2009, 2001, 1993, 1985, 1975])).
% 4.10/4.27 tff(2026,plain,(v918(constB2) | v911(constB2) | (~v6(constB2, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.10/4.27 tff(2027,plain,
% 4.10/4.27 (v918(constB2) | v911(constB2)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2026, 1974])).
% 4.10/4.27 tff(2028,plain,
% 4.10/4.27 ($false),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2027, 1797, 1676])).
% 4.10/4.27 tff(2029,plain,(v947(constB10) | v933(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.27 tff(2030,plain,
% 4.10/4.27 ($false),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2029, 352, 262])).
% 4.10/4.27 tff(2031,plain,((~(constB11 = sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.27 tff(2032,plain,
% 4.10/4.27 (~(constB11 = sK293_VarCurr)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2031, 4])).
% 4.10/4.27 tff(2033,assumption,(constB3 = sK293_VarCurr), introduced(assumption)).
% 4.10/4.27 tff(2034,plain,
% 4.10/4.27 (v6(constB3, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.10/4.27 inference(monotonicity,[status(thm)],[2033])).
% 4.10/4.27 tff(2035,plain,
% 4.10/4.27 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB3, bitIndex0)),
% 4.10/4.27 inference(symmetry,[status(thm)],[2034])).
% 4.10/4.27 tff(2036,plain,
% 4.10/4.27 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB3, bitIndex0))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[2035])).
% 4.10/4.27 tff(2037,plain,
% 4.10/4.27 (~v6(constB3, bitIndex0)),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[266, 2036])).
% 4.10/4.27 tff(2038,assumption,(v6(constB3, bitIndex0)), introduced(assumption)).
% 4.10/4.27 tff(2039,plain,
% 4.10/4.27 ($false),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2038, 2037])).
% 4.10/4.27 tff(2040,plain,((~(constB3 = sK293_VarCurr)) | (~v6(constB3, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.27 tff(2041,plain,
% 4.10/4.27 (~v6(constB3, bitIndex0)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2040, 2033, 19])).
% 4.10/4.27 tff(2042,plain,
% 4.10/4.27 (~v935(constB3)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1650, 2041])).
% 4.10/4.27 tff(2043,plain,
% 4.10/4.27 (~v933(constB2)),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[1655, 2042])).
% 4.10/4.27 tff(2044,plain,
% 4.10/4.27 (v6(constB3, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.10/4.27 inference(monotonicity,[status(thm)],[2033])).
% 4.10/4.27 tff(2045,plain,
% 4.10/4.27 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB3, bitIndex1)),
% 4.10/4.27 inference(symmetry,[status(thm)],[2044])).
% 4.10/4.27 tff(2046,plain,
% 4.10/4.27 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB3, bitIndex1))),
% 4.10/4.27 inference(monotonicity,[status(thm)],[2045])).
% 4.10/4.27 tff(2047,plain,
% 4.10/4.27 (~v6(constB3, bitIndex1)),
% 4.10/4.27 inference(modus_ponens,[status(thm)],[4, 2046])).
% 4.10/4.27 tff(2048,assumption,(v6(constB3, bitIndex1)), introduced(assumption)).
% 4.10/4.27 tff(2049,plain,
% 4.10/4.27 ($false),
% 4.10/4.27 inference(unit_resolution,[status(thm)],[2048, 2047])).
% 4.10/4.27 tff(2050,plain,((~(constB3 = sK293_VarCurr)) | (~v6(constB3, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.27 tff(2051,plain,
% 4.10/4.27 (~v6(constB3, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2050, 2033, 4])).
% 4.10/4.28 tff(2052,plain,
% 4.10/4.28 (~v949(constB3)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1779, 2051])).
% 4.10/4.28 tff(2053,plain,
% 4.10/4.28 (~v947(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1784, 2052])).
% 4.10/4.28 tff(2054,plain,
% 4.10/4.28 (~v19(constB2, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1671, 1657])).
% 4.10/4.28 tff(2055,plain,
% 4.10/4.28 (~v911(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1675, 416, 2054])).
% 4.10/4.28 tff(2056,plain,
% 4.10/4.28 (v16(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1669, 382, 1657])).
% 4.10/4.28 tff(2057,assumption,(~v947(constB2)), introduced(assumption)).
% 4.10/4.28 tff(2058,plain,
% 4.10/4.28 ((~v16(constB2)) | (~v19(constB2, bitIndex1))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1791, 400, 2057])).
% 4.10/4.28 tff(2059,plain,
% 4.10/4.28 (~v19(constB2, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2058, 2056])).
% 4.10/4.28 tff(2060,plain,
% 4.10/4.28 (~v918(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1796, 539, 2059])).
% 4.10/4.28 tff(2061,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2027, 2060, 2055])).
% 4.10/4.28 tff(2062,plain,(v933(constB2) | v947(constB2)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2063,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2062, 2053, 2043])).
% 4.10/4.28 tff(2064,plain,((~(constB3 = sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2065,plain,
% 4.10/4.28 (~(constB3 = sK293_VarCurr)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2064, 4])).
% 4.10/4.28 tff(2066,assumption,(constB4 = sK293_VarCurr), introduced(assumption)).
% 4.10/4.28 tff(2067,plain,
% 4.10/4.28 (v6(constB4, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2066])).
% 4.10/4.28 tff(2068,plain,
% 4.10/4.28 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB4, bitIndex0)),
% 4.10/4.28 inference(symmetry,[status(thm)],[2067])).
% 4.10/4.28 tff(2069,plain,
% 4.10/4.28 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB4, bitIndex0))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2068])).
% 4.10/4.28 tff(2070,plain,
% 4.10/4.28 (~v6(constB4, bitIndex0)),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[266, 2069])).
% 4.10/4.28 tff(2071,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1316, 2070])).
% 4.10/4.28 tff(2072,plain,((~(constB4 = sK293_VarCurr)) | (~v6(constB4, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2073,plain,
% 4.10/4.28 (~v6(constB4, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2072, 2066, 19])).
% 4.10/4.28 tff(2074,plain,
% 4.10/4.28 (~v6(constB3, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1617, 2073])).
% 4.10/4.28 tff(2075,plain,
% 4.10/4.28 (~v935(constB3)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1650, 2074])).
% 4.10/4.28 tff(2076,plain,
% 4.10/4.28 (~v933(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1655, 2075])).
% 4.10/4.28 tff(2077,plain,
% 4.10/4.28 (v6(constB4, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2066])).
% 4.10/4.28 tff(2078,plain,
% 4.10/4.28 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB4, bitIndex1)),
% 4.10/4.28 inference(symmetry,[status(thm)],[2077])).
% 4.10/4.28 tff(2079,plain,
% 4.10/4.28 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB4, bitIndex1))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2078])).
% 4.10/4.28 tff(2080,plain,
% 4.10/4.28 (~v6(constB4, bitIndex1)),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[4, 2079])).
% 4.10/4.28 tff(2081,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1709, 2080])).
% 4.10/4.28 tff(2082,plain,((~(constB4 = sK293_VarCurr)) | (~v6(constB4, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2083,plain,
% 4.10/4.28 (~v6(constB4, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2082, 2066, 4])).
% 4.10/4.28 tff(2084,plain,
% 4.10/4.28 (~v6(constB3, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1750, 2083])).
% 4.10/4.28 tff(2085,plain,
% 4.10/4.28 (~v949(constB3)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1779, 2084])).
% 4.10/4.28 tff(2086,plain,
% 4.10/4.28 (~v947(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1784, 2085])).
% 4.10/4.28 tff(2087,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2062, 2086, 2076])).
% 4.10/4.28 tff(2088,plain,((~(constB4 = sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2089,plain,
% 4.10/4.28 (~(constB4 = sK293_VarCurr)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2088, 4])).
% 4.10/4.28 tff(2090,assumption,(~(constB9 = sK293_VarCurr)), introduced(assumption)).
% 4.10/4.28 tff(2091,plain,
% 4.10/4.28 (^[VarCurr: $i] : refl((v6(VarCurr, bitIndex0) | (~v911(VarCurr))) <=> (v6(VarCurr, bitIndex0) | (~v911(VarCurr))))),
% 4.10/4.28 inference(bind,[status(th)],[])).
% 4.10/4.28 tff(2092,plain,
% 4.10/4.28 (![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr))) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))),
% 4.10/4.28 inference(quant_intro,[status(thm)],[2091])).
% 4.10/4.28 tff(2093,plain,
% 4.10/4.28 (![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr))) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2094,axiom,(![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9932')).
% 4.10/4.28 tff(2095,plain,
% 4.10/4.28 (![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2094, 2093])).
% 4.10/4.28 tff(2096,plain,(
% 4.10/4.28 ![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))),
% 4.10/4.28 inference(skolemize,[status(sab)],[2095])).
% 4.10/4.28 tff(2097,plain,
% 4.10/4.28 (![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2096, 2092])).
% 4.10/4.28 tff(2098,plain,
% 4.10/4.28 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(sK293_VarCurr, bitIndex0) | (~v911(sK293_VarCurr)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(sK293_VarCurr, bitIndex0) | (~v911(sK293_VarCurr)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2099,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(sK293_VarCurr, bitIndex0) | (~v911(sK293_VarCurr)))),
% 4.10/4.28 inference(quant_inst,[status(thm)],[])).
% 4.10/4.28 tff(2100,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(sK293_VarCurr, bitIndex0) | (~v911(sK293_VarCurr))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2099, 2098])).
% 4.10/4.28 tff(2101,plain,
% 4.10/4.28 (~v911(sK293_VarCurr)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2100, 2097, 19])).
% 4.10/4.28 tff(2102,plain,
% 4.10/4.28 (^[VarCurr: $i] : refl((v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))) <=> (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))))),
% 4.10/4.28 inference(bind,[status(th)],[])).
% 4.10/4.28 tff(2103,plain,
% 4.10/4.28 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.10/4.28 inference(quant_intro,[status(thm)],[2102])).
% 4.10/4.28 tff(2104,plain,
% 4.10/4.28 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2105,plain,
% 4.10/4.28 (^[VarCurr: $i] : rewrite(((v911(VarCurr) | (~v19(VarCurr, bitIndex0))) | v6(VarCurr, bitIndex1)) <=> (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))))),
% 4.10/4.28 inference(bind,[status(th)],[])).
% 4.10/4.28 tff(2106,plain,
% 4.10/4.28 (![VarCurr: $i] : ((v911(VarCurr) | (~v19(VarCurr, bitIndex0))) | v6(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.10/4.28 inference(quant_intro,[status(thm)],[2105])).
% 4.10/4.28 tff(2107,axiom,(![VarCurr: $i] : ((v911(VarCurr) | (~v19(VarCurr, bitIndex0))) | v6(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9926')).
% 4.10/4.28 tff(2108,plain,
% 4.10/4.28 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2107, 2106])).
% 4.10/4.28 tff(2109,plain,
% 4.10/4.28 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2108, 2104])).
% 4.10/4.28 tff(2110,plain,(
% 4.10/4.28 ![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.10/4.28 inference(skolemize,[status(sab)],[2109])).
% 4.10/4.28 tff(2111,plain,
% 4.10/4.28 (![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2110, 2103])).
% 4.10/4.28 tff(2112,plain,
% 4.10/4.28 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(sK293_VarCurr, bitIndex1) | v911(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(sK293_VarCurr, bitIndex1) | v911(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex0)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2113,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(sK293_VarCurr, bitIndex1) | v911(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex0)))),
% 4.10/4.28 inference(quant_inst,[status(thm)],[])).
% 4.10/4.28 tff(2114,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(sK293_VarCurr, bitIndex1) | v911(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex0))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2113, 2112])).
% 4.10/4.28 tff(2115,plain,
% 4.10/4.28 (v911(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex0))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2114, 2111, 4])).
% 4.10/4.28 tff(2116,plain,
% 4.10/4.28 (~v19(sK293_VarCurr, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2115, 2101])).
% 4.10/4.28 tff(2117,assumption,(constB6 = sK293_VarCurr), introduced(assumption)).
% 4.10/4.28 tff(2118,plain,
% 4.10/4.28 (v19(constB6, bitIndex0) <=> v19(sK293_VarCurr, bitIndex0)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2117])).
% 4.10/4.28 tff(2119,plain,
% 4.10/4.28 (v19(sK293_VarCurr, bitIndex0) <=> v19(constB6, bitIndex0)),
% 4.10/4.28 inference(symmetry,[status(thm)],[2118])).
% 4.10/4.28 tff(2120,plain,
% 4.10/4.28 ((~v19(sK293_VarCurr, bitIndex0)) <=> (~v19(constB6, bitIndex0))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2119])).
% 4.10/4.28 tff(2121,assumption,(~v19(sK293_VarCurr, bitIndex0)), introduced(assumption)).
% 4.10/4.28 tff(2122,plain,
% 4.10/4.28 (~v19(constB6, bitIndex0)),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2121, 2120])).
% 4.10/4.28 tff(2123,assumption,(v19(constB6, bitIndex0)), introduced(assumption)).
% 4.10/4.28 tff(2124,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2123, 2122])).
% 4.10/4.28 tff(2125,plain,((~(constB6 = sK293_VarCurr)) | (~v19(constB6, bitIndex0)) | v19(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2126,plain,
% 4.10/4.28 (~v19(constB6, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2125, 2117, 2116])).
% 4.10/4.28 tff(2127,plain,
% 4.10/4.28 (v19(constB6, bitIndex1) <=> v19(sK293_VarCurr, bitIndex1)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2117])).
% 4.10/4.28 tff(2128,plain,
% 4.10/4.28 (v19(sK293_VarCurr, bitIndex1) <=> v19(constB6, bitIndex1)),
% 4.10/4.28 inference(symmetry,[status(thm)],[2127])).
% 4.10/4.28 tff(2129,plain,
% 4.10/4.28 ((~v19(sK293_VarCurr, bitIndex1)) <=> (~v19(constB6, bitIndex1))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2128])).
% 4.10/4.28 tff(2130,plain,
% 4.10/4.28 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(sK293_VarCurr, bitIndex0) | (~v918(sK293_VarCurr)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(sK293_VarCurr, bitIndex0) | (~v918(sK293_VarCurr)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2131,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(sK293_VarCurr, bitIndex0) | (~v918(sK293_VarCurr)))),
% 4.10/4.28 inference(quant_inst,[status(thm)],[])).
% 4.10/4.28 tff(2132,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(sK293_VarCurr, bitIndex0) | (~v918(sK293_VarCurr))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2131, 2130])).
% 4.10/4.28 tff(2133,plain,
% 4.10/4.28 (~v918(sK293_VarCurr)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2132, 645, 19])).
% 4.10/4.28 tff(2134,plain,
% 4.10/4.28 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(sK293_VarCurr, bitIndex1) | v918(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(sK293_VarCurr, bitIndex1) | v918(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex1)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2135,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(sK293_VarCurr, bitIndex1) | v918(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex1)))),
% 4.10/4.28 inference(quant_inst,[status(thm)],[])).
% 4.10/4.28 tff(2136,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(sK293_VarCurr, bitIndex1) | v918(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex1))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2135, 2134])).
% 4.10/4.28 tff(2137,plain,
% 4.10/4.28 (v918(sK293_VarCurr) | (~v19(sK293_VarCurr, bitIndex1))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2136, 747, 4])).
% 4.10/4.28 tff(2138,plain,
% 4.10/4.28 (~v19(sK293_VarCurr, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2137, 2133])).
% 4.10/4.28 tff(2139,plain,
% 4.10/4.28 (~v19(constB6, bitIndex1)),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2138, 2129])).
% 4.10/4.28 tff(2140,plain,
% 4.10/4.28 (~v6(constB4, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1594, 2139, 2126])).
% 4.10/4.28 tff(2141,plain,
% 4.10/4.28 (~v6(constB3, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1617, 2140])).
% 4.10/4.28 tff(2142,plain,
% 4.10/4.28 (~v935(constB3)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1650, 2141])).
% 4.10/4.28 tff(2143,plain,
% 4.10/4.28 (~v933(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1655, 2142])).
% 4.10/4.28 tff(2144,plain,
% 4.10/4.28 (~v19(constB2, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1671, 2143])).
% 4.10/4.28 tff(2145,plain,
% 4.10/4.28 (~v911(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1675, 416, 2144])).
% 4.10/4.28 tff(2146,plain,
% 4.10/4.28 (v918(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2027, 2145])).
% 4.10/4.28 tff(2147,plain,
% 4.10/4.28 (v19(constB2, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1796, 539, 2146])).
% 4.10/4.28 tff(2148,plain,
% 4.10/4.28 (v16(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1669, 382, 2143])).
% 4.10/4.28 tff(2149,plain,
% 4.10/4.28 (v947(constB2) | (~v19(constB2, bitIndex1))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1791, 400, 2148])).
% 4.10/4.28 tff(2150,plain,
% 4.10/4.28 (v947(constB2)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2149, 2147])).
% 4.10/4.28 tff(2151,plain,
% 4.10/4.28 (v949(constB3)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1784, 2150])).
% 4.10/4.28 tff(2152,plain,
% 4.10/4.28 (v6(constB3, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1779, 2151])).
% 4.10/4.28 tff(2153,plain,
% 4.10/4.28 (v6(constB4, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1750, 2152])).
% 4.10/4.28 tff(2154,plain,
% 4.10/4.28 (v6(constB6, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2117])).
% 4.10/4.28 tff(2155,plain,
% 4.10/4.28 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB6, bitIndex0)),
% 4.10/4.28 inference(symmetry,[status(thm)],[2154])).
% 4.10/4.28 tff(2156,plain,
% 4.10/4.28 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB6, bitIndex0))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2155])).
% 4.10/4.28 tff(2157,plain,
% 4.10/4.28 (~v6(constB6, bitIndex0)),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[266, 2156])).
% 4.10/4.28 tff(2158,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1350, 2157])).
% 4.10/4.28 tff(2159,plain,((~(constB6 = sK293_VarCurr)) | (~v6(constB6, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2160,plain,
% 4.10/4.28 (~v6(constB6, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2159, 2117, 19])).
% 4.10/4.28 tff(2161,plain,
% 4.10/4.28 (~v6(constB5, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1421, 2160])).
% 4.10/4.28 tff(2162,plain,
% 4.10/4.28 (~v935(constB5)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1454, 2161])).
% 4.10/4.28 tff(2163,plain,
% 4.10/4.28 (~v933(constB4)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1459, 2162])).
% 4.10/4.28 tff(2164,plain,
% 4.10/4.28 (~v19(constB4, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1707, 2163])).
% 4.10/4.28 tff(2165,plain,
% 4.10/4.28 ((~v6(constB4, bitIndex1)) | (~v702(constB4))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1712, 663, 2164])).
% 4.10/4.28 tff(2166,plain,
% 4.10/4.28 (~v702(constB4)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2165, 2153])).
% 4.10/4.28 tff(2167,plain,
% 4.10/4.28 (v16(constB4)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1463, 382, 2163])).
% 4.10/4.28 tff(2168,plain,
% 4.10/4.28 (v6(constB6, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2117])).
% 4.10/4.28 tff(2169,plain,
% 4.10/4.28 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB6, bitIndex1)),
% 4.10/4.28 inference(symmetry,[status(thm)],[2168])).
% 4.10/4.28 tff(2170,plain,
% 4.10/4.28 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB6, bitIndex1))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2169])).
% 4.10/4.28 tff(2171,plain,
% 4.10/4.28 (~v6(constB6, bitIndex1)),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[4, 2170])).
% 4.10/4.28 tff(2172,plain,
% 4.10/4.28 (~v6(constB5, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1579, 2171])).
% 4.10/4.28 tff(2173,plain,
% 4.10/4.28 (~v949(constB5)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1558, 2172])).
% 4.10/4.28 tff(2174,plain,
% 4.10/4.28 (~v947(constB4)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1529, 2173])).
% 4.10/4.28 tff(2175,plain,
% 4.10/4.28 (~v19(constB4, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1523, 400, 2174, 2167])).
% 4.10/4.28 tff(2176,plain,
% 4.10/4.28 (v702(constB4) | (~v6(constB4, bitIndex1))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1717, 679, 2175])).
% 4.10/4.28 tff(2177,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2176, 2166, 2153])).
% 4.10/4.28 tff(2178,plain,((~(constB6 = sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2179,plain,
% 4.10/4.28 (~(constB6 = sK293_VarCurr)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2178, 4])).
% 4.10/4.28 tff(2180,assumption,(~(constB3 = sK293_VarCurr)), introduced(assumption)).
% 4.10/4.28 tff(2181,assumption,(~(constB11 = sK293_VarCurr)), introduced(assumption)).
% 4.10/4.28 tff(2182,assumption,(v6(constB12, bitIndex0)), introduced(assumption)).
% 4.10/4.28 tff(2183,assumption,(constB9 = sK293_VarCurr), introduced(assumption)).
% 4.10/4.28 tff(2184,plain,
% 4.10/4.28 (v6(constB9, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2183])).
% 4.10/4.28 tff(2185,plain,
% 4.10/4.28 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB9, bitIndex0)),
% 4.10/4.28 inference(symmetry,[status(thm)],[2184])).
% 4.10/4.28 tff(2186,plain,
% 4.10/4.28 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB9, bitIndex0))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2185])).
% 4.10/4.28 tff(2187,plain,
% 4.10/4.28 (~v6(constB9, bitIndex0)),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[266, 2186])).
% 4.10/4.28 tff(2188,assumption,(v6(constB9, bitIndex0)), introduced(assumption)).
% 4.10/4.28 tff(2189,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2188, 2187])).
% 4.10/4.28 tff(2190,plain,((~(constB9 = sK293_VarCurr)) | (~v6(constB9, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2191,plain,
% 4.10/4.28 (~v6(constB9, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2190, 2183, 19])).
% 4.10/4.28 tff(2192,plain,
% 4.10/4.28 (~v935(constB9)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[628, 2191])).
% 4.10/4.28 tff(2193,plain,
% 4.10/4.28 (~v933(constB8)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[633, 2192])).
% 4.10/4.28 tff(2194,plain,
% 4.10/4.28 (~v19(constB8, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1237, 2193])).
% 4.10/4.28 tff(2195,plain,
% 4.10/4.28 (v16(constB8)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[637, 382, 2193])).
% 4.10/4.28 tff(2196,plain,
% 4.10/4.28 (v6(constB9, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2183])).
% 4.10/4.28 tff(2197,plain,
% 4.10/4.28 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB9, bitIndex1)),
% 4.10/4.28 inference(symmetry,[status(thm)],[2196])).
% 4.10/4.28 tff(2198,plain,
% 4.10/4.28 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB9, bitIndex1))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2197])).
% 4.10/4.28 tff(2199,plain,
% 4.10/4.28 (~v6(constB9, bitIndex1)),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[4, 2198])).
% 4.10/4.28 tff(2200,plain,
% 4.10/4.28 ($false),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[757, 2199])).
% 4.10/4.28 tff(2201,plain,((~(constB9 = sK293_VarCurr)) | (~v6(constB9, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.10/4.28 tff(2202,plain,
% 4.10/4.28 (~v6(constB9, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2201, 2183, 4])).
% 4.10/4.28 tff(2203,plain,
% 4.10/4.28 (~v949(constB9)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[944, 2202])).
% 4.10/4.28 tff(2204,plain,
% 4.10/4.28 (~v947(constB8)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[949, 2203])).
% 4.10/4.28 tff(2205,plain,
% 4.10/4.28 (~v19(constB8, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[957, 400, 2204, 2195])).
% 4.10/4.28 tff(2206,plain,
% 4.10/4.28 (~v6(constB8, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1259, 2205, 2194])).
% 4.10/4.28 tff(2207,plain,
% 4.10/4.28 (~v6(constB7, bitIndex1)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1280, 2206])).
% 4.10/4.28 tff(2208,plain,
% 4.10/4.28 (~v949(constB7)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1309, 2207])).
% 4.10/4.28 tff(2209,plain,
% 4.10/4.28 (~v947(constB6)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[1314, 2208])).
% 4.10/4.28 tff(2210,plain,
% 4.10/4.28 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0))) <=> ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0))))),
% 4.10/4.28 inference(bind,[status(th)],[])).
% 4.10/4.28 tff(2211,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))),
% 4.10/4.28 inference(quant_intro,[status(thm)],[2210])).
% 4.10/4.28 tff(2212,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2213,plain,
% 4.10/4.28 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0))) <=> (v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0)))), (((v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0))) | v925(VarNext)) <=> ((v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0))) | v925(VarNext)))), rewrite(((v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0))) | v925(VarNext)) <=> (v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))), (((v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0))) | v925(VarNext)) <=> (v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0))))), ((((v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0))) | v925(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))))), rewrite(((v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))), ((((v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0))) | v925(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))))),
% 4.10/4.28 inference(bind,[status(th)],[])).
% 4.10/4.28 tff(2214,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : (((v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0))) | v925(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))),
% 4.10/4.28 inference(quant_intro,[status(thm)],[2213])).
% 4.10/4.28 tff(2215,axiom,(![VarNext: $i, VarCurr: $i] : (((v6(VarCurr, bitIndex0) | (~v6(VarNext, bitIndex0))) | v925(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9876')).
% 4.10/4.28 tff(2216,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2215, 2214])).
% 4.10/4.28 tff(2217,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2216, 2212])).
% 4.10/4.28 tff(2218,plain,(
% 4.10/4.28 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))),
% 4.10/4.28 inference(skolemize,[status(sab)],[2217])).
% 4.10/4.28 tff(2219,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2218, 2211])).
% 4.10/4.28 tff(2220,plain,
% 4.10/4.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v925(constB10) | (~v6(constB10, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v925(constB10) | (~v6(constB10, bitIndex0)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2221,plain,
% 4.10/4.28 (((~nextState(constB9, constB10)) | v6(constB9, bitIndex0) | v925(constB10) | (~v6(constB10, bitIndex0))) <=> (v6(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v925(constB10) | (~v6(constB10, bitIndex0)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2222,plain,
% 4.10/4.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB9, constB10)) | v6(constB9, bitIndex0) | v925(constB10) | (~v6(constB10, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v925(constB10) | (~v6(constB10, bitIndex0))))),
% 4.10/4.28 inference(monotonicity,[status(thm)],[2221])).
% 4.10/4.28 tff(2223,plain,
% 4.10/4.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB9, constB10)) | v6(constB9, bitIndex0) | v925(constB10) | (~v6(constB10, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v925(constB10) | (~v6(constB10, bitIndex0)))),
% 4.10/4.28 inference(transitivity,[status(thm)],[2222, 2220])).
% 4.10/4.28 tff(2224,plain,
% 4.10/4.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB9, constB10)) | v6(constB9, bitIndex0) | v925(constB10) | (~v6(constB10, bitIndex0)))),
% 4.10/4.28 inference(quant_inst,[status(thm)],[])).
% 4.10/4.28 tff(2225,plain,
% 4.10/4.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB9, bitIndex0) | (~nextState(constB9, constB10)) | v925(constB10) | (~v6(constB10, bitIndex0))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2224, 2223])).
% 4.10/4.28 tff(2226,plain,
% 4.10/4.28 (v6(constB9, bitIndex0) | v925(constB10) | (~v6(constB10, bitIndex0))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2225, 2219, 144])).
% 4.10/4.28 tff(2227,plain,
% 4.10/4.28 (v6(constB9, bitIndex0) | (~v6(constB10, bitIndex0))),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2226, 577])).
% 4.10/4.28 tff(2228,plain,
% 4.10/4.28 (~v6(constB10, bitIndex0)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2227, 2191])).
% 4.10/4.28 tff(2229,plain,
% 4.10/4.28 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB10, bitIndex0) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB10, bitIndex0) | (~v911(constB10)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2230,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB10, bitIndex0) | (~v911(constB10)))),
% 4.10/4.28 inference(quant_inst,[status(thm)],[])).
% 4.10/4.28 tff(2231,plain,
% 4.10/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB10, bitIndex0) | (~v911(constB10))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2230, 2229])).
% 4.10/4.28 tff(2232,plain,
% 4.10/4.28 (~v911(constB10)),
% 4.10/4.28 inference(unit_resolution,[status(thm)],[2231, 2097, 2228])).
% 4.10/4.28 tff(2233,plain,
% 4.10/4.28 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1))) <=> ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1))))),
% 4.10/4.28 inference(bind,[status(th)],[])).
% 4.10/4.28 tff(2234,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))),
% 4.10/4.28 inference(quant_intro,[status(thm)],[2233])).
% 4.10/4.28 tff(2235,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2236,plain,
% 4.10/4.28 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(trans(monotonicity(rewrite((v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1))) <=> (v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1)))), (((v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1))) | v941(VarNext)) <=> ((v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1))) | v941(VarNext)))), rewrite(((v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1))) | v941(VarNext)) <=> (v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))), (((v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1))) | v941(VarNext)) <=> (v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1))))), ((((v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1))) | v941(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))))), rewrite(((v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))), ((((v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1))) | v941(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))))),
% 4.10/4.28 inference(bind,[status(th)],[])).
% 4.10/4.28 tff(2237,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : (((v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1))) | v941(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))),
% 4.10/4.28 inference(quant_intro,[status(thm)],[2236])).
% 4.10/4.28 tff(2238,axiom,(![VarNext: $i, VarCurr: $i] : (((v6(VarCurr, bitIndex1) | (~v6(VarNext, bitIndex1))) | v941(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9843')).
% 4.10/4.28 tff(2239,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2238, 2237])).
% 4.10/4.28 tff(2240,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2239, 2235])).
% 4.10/4.28 tff(2241,plain,(
% 4.10/4.28 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))),
% 4.10/4.28 inference(skolemize,[status(sab)],[2240])).
% 4.10/4.28 tff(2242,plain,
% 4.10/4.28 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))),
% 4.10/4.28 inference(modus_ponens,[status(thm)],[2241, 2234])).
% 4.10/4.28 tff(2243,plain,
% 4.10/4.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v941(constB10) | (~v6(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v941(constB10) | (~v6(constB10, bitIndex1)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2244,plain,
% 4.10/4.28 (((~nextState(constB9, constB10)) | v6(constB9, bitIndex1) | v941(constB10) | (~v6(constB10, bitIndex1))) <=> (v6(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v941(constB10) | (~v6(constB10, bitIndex1)))),
% 4.10/4.28 inference(rewrite,[status(thm)],[])).
% 4.10/4.28 tff(2245,plain,
% 4.10/4.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v6(constB9, bitIndex1) | v941(constB10) | (~v6(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v941(constB10) | (~v6(constB10, bitIndex1))))),
% 4.12/4.28 inference(monotonicity,[status(thm)],[2244])).
% 4.12/4.28 tff(2246,plain,
% 4.12/4.28 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v6(constB9, bitIndex1) | v941(constB10) | (~v6(constB10, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v941(constB10) | (~v6(constB10, bitIndex1)))),
% 4.12/4.28 inference(transitivity,[status(thm)],[2245, 2243])).
% 4.12/4.28 tff(2247,plain,
% 4.12/4.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB9, constB10)) | v6(constB9, bitIndex1) | v941(constB10) | (~v6(constB10, bitIndex1)))),
% 4.12/4.28 inference(quant_inst,[status(thm)],[])).
% 4.12/4.28 tff(2248,plain,
% 4.12/4.28 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB9, bitIndex1) | (~nextState(constB9, constB10)) | v941(constB10) | (~v6(constB10, bitIndex1))),
% 4.12/4.28 inference(modus_ponens,[status(thm)],[2247, 2246])).
% 4.12/4.28 tff(2249,plain,
% 4.12/4.28 (v6(constB9, bitIndex1) | v941(constB10) | (~v6(constB10, bitIndex1))),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2248, 2242, 144])).
% 4.12/4.28 tff(2250,plain,
% 4.12/4.28 (v6(constB9, bitIndex1) | (~v6(constB10, bitIndex1))),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2249, 718])).
% 4.12/4.28 tff(2251,plain,
% 4.12/4.28 (~v6(constB10, bitIndex1)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2250, 2202])).
% 4.12/4.28 tff(2252,plain,
% 4.12/4.28 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB10, bitIndex1) | v911(constB10) | (~v19(constB10, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB10, bitIndex1) | v911(constB10) | (~v19(constB10, bitIndex0)))),
% 4.12/4.28 inference(rewrite,[status(thm)],[])).
% 4.12/4.28 tff(2253,plain,
% 4.12/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB10, bitIndex1) | v911(constB10) | (~v19(constB10, bitIndex0)))),
% 4.12/4.28 inference(quant_inst,[status(thm)],[])).
% 4.12/4.28 tff(2254,plain,
% 4.12/4.28 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB10, bitIndex1) | v911(constB10) | (~v19(constB10, bitIndex0))),
% 4.12/4.28 inference(modus_ponens,[status(thm)],[2253, 2252])).
% 4.12/4.28 tff(2255,plain,
% 4.12/4.28 (~v19(constB10, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2254, 2111, 2251, 2232])).
% 4.12/4.28 tff(2256,plain,
% 4.12/4.28 (v19(constB9, bitIndex1) <=> v19(sK293_VarCurr, bitIndex1)),
% 4.12/4.28 inference(monotonicity,[status(thm)],[2183])).
% 4.12/4.28 tff(2257,plain,
% 4.12/4.28 (v19(sK293_VarCurr, bitIndex1) <=> v19(constB9, bitIndex1)),
% 4.12/4.28 inference(symmetry,[status(thm)],[2256])).
% 4.12/4.28 tff(2258,plain,
% 4.12/4.28 ((~v19(sK293_VarCurr, bitIndex1)) <=> (~v19(constB9, bitIndex1))),
% 4.12/4.28 inference(monotonicity,[status(thm)],[2257])).
% 4.12/4.28 tff(2259,plain,
% 4.12/4.28 (~v19(constB9, bitIndex1)),
% 4.12/4.28 inference(modus_ponens,[status(thm)],[2138, 2258])).
% 4.12/4.28 tff(2260,plain,
% 4.12/4.28 (~v6(constB8, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1171, 2195, 2259, 2255])).
% 4.12/4.28 tff(2261,plain,
% 4.12/4.28 (~v6(constB7, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1192, 2260])).
% 4.12/4.28 tff(2262,plain,
% 4.12/4.28 (~v935(constB7)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1225, 2261])).
% 4.12/4.28 tff(2263,plain,
% 4.12/4.28 (~v933(constB6)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1230, 2262])).
% 4.12/4.28 tff(2264,plain,
% 4.12/4.28 (~v6(constB4, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1596, 2263, 2209])).
% 4.12/4.28 tff(2265,plain,
% 4.12/4.28 (~v6(constB3, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1617, 2264])).
% 4.12/4.28 tff(2266,plain,
% 4.12/4.28 (~v935(constB3)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1650, 2265])).
% 4.12/4.28 tff(2267,plain,
% 4.12/4.28 (~v933(constB2)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1655, 2266])).
% 4.12/4.28 tff(2268,plain,
% 4.12/4.28 (~v19(constB2, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1671, 2267])).
% 4.12/4.28 tff(2269,plain,
% 4.12/4.28 (~v911(constB2)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1675, 416, 2268])).
% 4.12/4.28 tff(2270,plain,
% 4.12/4.28 (v918(constB2)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2027, 2269])).
% 4.12/4.28 tff(2271,plain,
% 4.12/4.28 (v19(constB2, bitIndex1)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1796, 539, 2270])).
% 4.12/4.28 tff(2272,plain,
% 4.12/4.28 (v16(constB2)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1669, 382, 2267])).
% 4.12/4.28 tff(2273,plain,
% 4.12/4.28 (v947(constB2) | (~v19(constB2, bitIndex1))),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1791, 400, 2272])).
% 4.12/4.28 tff(2274,plain,
% 4.12/4.28 (v947(constB2)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2273, 2271])).
% 4.12/4.28 tff(2275,plain,
% 4.12/4.28 (v949(constB3)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1784, 2274])).
% 4.12/4.28 tff(2276,plain,
% 4.12/4.28 (v6(constB3, bitIndex1)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1779, 2275])).
% 4.12/4.28 tff(2277,plain,
% 4.12/4.28 (v6(constB4, bitIndex1)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1750, 2276])).
% 4.12/4.28 tff(2278,plain,
% 4.12/4.28 (v16(constB6)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1320, 382, 2263])).
% 4.12/4.28 tff(2279,plain,
% 4.12/4.28 ((~v16(constB6)) | (~v19(constB6, bitIndex0))),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1336, 364, 2263])).
% 4.12/4.28 tff(2280,plain,
% 4.12/4.28 (~v19(constB6, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2279, 2278])).
% 4.12/4.28 tff(2281,plain,
% 4.12/4.28 ($false),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1400, 1343, 1348, 1350])).
% 4.12/4.28 tff(2282,plain,((~v6(constB6, bitIndex0)) | v19(constB6, bitIndex0) | v19(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.28 tff(2283,plain,
% 4.12/4.28 (~v6(constB6, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2282, 2280, 1344])).
% 4.12/4.28 tff(2284,plain,
% 4.12/4.28 (~v6(constB5, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1421, 2283])).
% 4.12/4.28 tff(2285,plain,
% 4.12/4.28 (~v935(constB5)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1454, 2284])).
% 4.12/4.28 tff(2286,plain,
% 4.12/4.28 (~v933(constB4)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1459, 2285])).
% 4.12/4.28 tff(2287,plain,
% 4.12/4.28 (~v19(constB4, bitIndex0)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1707, 2286])).
% 4.12/4.28 tff(2288,plain,
% 4.12/4.28 ((~v6(constB4, bitIndex1)) | (~v702(constB4))),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1712, 663, 2287])).
% 4.12/4.28 tff(2289,plain,
% 4.12/4.28 (~v702(constB4)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2288, 2277])).
% 4.12/4.28 tff(2290,plain,
% 4.12/4.28 (v19(constB4, bitIndex1)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1717, 679, 2277, 2289])).
% 4.12/4.28 tff(2291,plain,
% 4.12/4.28 (v16(constB4)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1463, 382, 2286])).
% 4.12/4.28 tff(2292,plain,
% 4.12/4.28 (v947(constB4) | (~v19(constB4, bitIndex1))),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1523, 400, 2291])).
% 4.12/4.28 tff(2293,plain,
% 4.12/4.28 (v947(constB4)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2292, 2290])).
% 4.12/4.28 tff(2294,plain,
% 4.12/4.28 (v949(constB5)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1529, 2293])).
% 4.12/4.28 tff(2295,plain,
% 4.12/4.28 (v6(constB5, bitIndex1)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1558, 2294])).
% 4.12/4.28 tff(2296,plain,
% 4.12/4.28 (v6(constB6, bitIndex1)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1579, 2295])).
% 4.12/4.28 tff(2297,plain,
% 4.12/4.28 (v702(constB6)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1592, 2296])).
% 4.12/4.28 tff(2298,plain,
% 4.12/4.28 ((~v6(constB6, bitIndex1)) | (~v702(constB6))),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[1586, 663, 2280])).
% 4.12/4.28 tff(2299,plain,
% 4.12/4.28 ($false),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2298, 2297, 2296])).
% 4.12/4.28 tff(2300,plain,((~(constB9 = sK293_VarCurr)) | v19(constB6, bitIndex1) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.28 tff(2301,plain,
% 4.12/4.28 (~(constB9 = sK293_VarCurr)),
% 4.12/4.28 inference(unit_resolution,[status(thm)],[2300, 1344, 4])).
% 4.12/4.28 tff(2302,plain,
% 4.12/4.28 (v6(constB4, bitIndex0)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[1617, 2038])).
% 4.12/4.29 tff(2303,assumption,(constB7 = sK293_VarCurr), introduced(assumption)).
% 4.12/4.29 tff(2304,plain,
% 4.12/4.29 (v6(constB7, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2303])).
% 4.12/4.29 tff(2305,plain,
% 4.12/4.29 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB7, bitIndex1)),
% 4.12/4.29 inference(symmetry,[status(thm)],[2304])).
% 4.12/4.29 tff(2306,plain,
% 4.12/4.29 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB7, bitIndex1))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2305])).
% 4.12/4.29 tff(2307,plain,
% 4.12/4.29 (((~v809(sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex0)) <=> ((~v809(sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex0))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2308,axiom,((~v809(sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9837')).
% 4.12/4.29 tff(2309,plain,
% 4.12/4.29 ((~v809(sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex0)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2308, 2307])).
% 4.12/4.29 tff(2310,plain,
% 4.12/4.29 (~v809(sK293_VarCurr)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2309, 266])).
% 4.12/4.29 tff(2311,plain,
% 4.12/4.29 (^[VarCurr: $i] : refl((v809(VarCurr) | (~v6(VarCurr, bitIndex1))) <=> (v809(VarCurr) | (~v6(VarCurr, bitIndex1))))),
% 4.12/4.29 inference(bind,[status(th)],[])).
% 4.12/4.29 tff(2312,plain,
% 4.12/4.29 (![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))),
% 4.12/4.29 inference(quant_intro,[status(thm)],[2311])).
% 4.12/4.29 tff(2313,plain,
% 4.12/4.29 (![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2314,axiom,(![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10542')).
% 4.12/4.29 tff(2315,plain,
% 4.12/4.29 (![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2314, 2313])).
% 4.12/4.29 tff(2316,plain,(
% 4.12/4.29 ![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))),
% 4.12/4.29 inference(skolemize,[status(sab)],[2315])).
% 4.12/4.29 tff(2317,plain,
% 4.12/4.29 (![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2316, 2312])).
% 4.12/4.29 tff(2318,plain,
% 4.12/4.29 (((~![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))) | (v809(sK293_VarCurr) | (~v6(sK293_VarCurr, bitIndex1)))) <=> ((~![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))) | v809(sK293_VarCurr) | (~v6(sK293_VarCurr, bitIndex1)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2319,plain,
% 4.12/4.29 ((~![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))) | (v809(sK293_VarCurr) | (~v6(sK293_VarCurr, bitIndex1)))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2320,plain,
% 4.12/4.29 ((~![VarCurr: $i] : (v809(VarCurr) | (~v6(VarCurr, bitIndex1)))) | v809(sK293_VarCurr) | (~v6(sK293_VarCurr, bitIndex1))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2319, 2318])).
% 4.12/4.29 tff(2321,plain,
% 4.12/4.29 (~v6(sK293_VarCurr, bitIndex1)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2320, 2317, 2310])).
% 4.12/4.29 tff(2322,plain,
% 4.12/4.29 (~v6(constB7, bitIndex1)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2321, 2306])).
% 4.12/4.29 tff(2323,plain,
% 4.12/4.29 (v6(constB7, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2303])).
% 4.12/4.29 tff(2324,plain,
% 4.12/4.29 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB7, bitIndex0)),
% 4.12/4.29 inference(symmetry,[status(thm)],[2323])).
% 4.12/4.29 tff(2325,plain,
% 4.12/4.29 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB7, bitIndex0))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2324])).
% 4.12/4.29 tff(2326,plain,
% 4.12/4.29 (~v6(constB7, bitIndex0)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[266, 2325])).
% 4.12/4.29 tff(2327,assumption,(v6(constB7, bitIndex0)), introduced(assumption)).
% 4.12/4.29 tff(2328,plain,
% 4.12/4.29 ($false),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2327, 2326])).
% 4.12/4.29 tff(2329,plain,((~(constB7 = sK293_VarCurr)) | (~v6(constB7, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.29 tff(2330,plain,
% 4.12/4.29 (~v6(constB7, bitIndex0)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2329, 2303, 266])).
% 4.12/4.29 tff(2331,plain,
% 4.12/4.29 (~v935(constB7)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[1225, 2330])).
% 4.12/4.29 tff(2332,plain,
% 4.12/4.29 (~v933(constB6)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[1230, 2331])).
% 4.12/4.29 tff(2333,plain,
% 4.12/4.29 (v947(constB6)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[1596, 2332, 1316])).
% 4.12/4.29 tff(2334,plain,
% 4.12/4.29 (v949(constB7)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[1314, 2333])).
% 4.12/4.29 tff(2335,plain,
% 4.12/4.29 (v6(constB7, bitIndex1)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[1309, 2334])).
% 4.12/4.29 tff(2336,plain,
% 4.12/4.29 ($false),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2335, 2322])).
% 4.12/4.29 tff(2337,plain,((~(constB7 = sK293_VarCurr)) | (~v6(constB4, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.29 tff(2338,plain,
% 4.12/4.29 (~(constB7 = sK293_VarCurr)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2337, 2302, 19])).
% 4.12/4.29 tff(2339,plain,
% 4.12/4.29 (~(constB3 = sK293_VarCurr)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2040, 2038, 19])).
% 4.12/4.29 tff(2340,plain,
% 4.12/4.29 (~(constB4 = sK293_VarCurr)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2072, 2302, 19])).
% 4.12/4.29 tff(2341,plain,
% 4.12/4.29 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB14, bitIndex1))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[3])).
% 4.12/4.29 tff(2342,plain,
% 4.12/4.29 (~v6(constB14, bitIndex1)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[4, 2341])).
% 4.12/4.29 tff(2343,assumption,(v6(constB14, bitIndex1)), introduced(assumption)).
% 4.12/4.29 tff(2344,plain,
% 4.12/4.29 ($false),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2343, 2342])).
% 4.12/4.29 tff(2345,plain,((~(constB14 = sK293_VarCurr)) | (~v6(constB14, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.29 tff(2346,plain,
% 4.12/4.29 (~v6(constB14, bitIndex1)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2345, 1, 2321])).
% 4.12/4.29 tff(2347,plain,
% 4.12/4.29 (nextState(constB11, constB12) <=> nextState(constB11, constB12)),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2348,axiom,(nextState(constB11, constB12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9793')).
% 4.12/4.29 tff(2349,plain,
% 4.12/4.29 (nextState(constB11, constB12)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2348, 2347])).
% 4.12/4.29 tff(2350,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB11)) | (~nextState(constB11, constB12)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB11)) | (~nextState(constB11, constB12)) | (~v1(constB12)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2351,plain,
% 4.12/4.29 (((~nextState(constB11, constB12)) | (~v1(constB11)) | (~v1(constB12))) <=> ((~v1(constB11)) | (~nextState(constB11, constB12)) | (~v1(constB12)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2352,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB11)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB11)) | (~nextState(constB11, constB12)) | (~v1(constB12))))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2351])).
% 4.12/4.29 tff(2353,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB11)) | (~v1(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB11)) | (~nextState(constB11, constB12)) | (~v1(constB12)))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2352, 2350])).
% 4.12/4.29 tff(2354,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB11, constB12)) | (~v1(constB11)) | (~v1(constB12)))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2355,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB11)) | (~nextState(constB11, constB12)) | (~v1(constB12))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2354, 2353])).
% 4.12/4.29 tff(2356,plain,
% 4.12/4.29 (~v1(constB12)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2355, 64, 2349, 196])).
% 4.12/4.29 tff(2357,plain,
% 4.12/4.29 (nextState(constB12, constB13) <=> nextState(constB12, constB13)),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2358,axiom,(nextState(constB12, constB13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9792')).
% 4.12/4.29 tff(2359,plain,
% 4.12/4.29 (nextState(constB12, constB13)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2358, 2357])).
% 4.12/4.29 tff(2360,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB12) | (~nextState(constB12, constB13)) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB12) | (~nextState(constB12, constB13)) | v1(constB13))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2361,plain,
% 4.12/4.29 (((~nextState(constB12, constB13)) | v1(constB12) | v1(constB13)) <=> (v1(constB12) | (~nextState(constB12, constB13)) | v1(constB13))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2362,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB12, constB13)) | v1(constB12) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB12) | (~nextState(constB12, constB13)) | v1(constB13)))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2361])).
% 4.12/4.29 tff(2363,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB12, constB13)) | v1(constB12) | v1(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB12) | (~nextState(constB12, constB13)) | v1(constB13))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2362, 2360])).
% 4.12/4.29 tff(2364,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB12, constB13)) | v1(constB12) | v1(constB13))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2365,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB12) | (~nextState(constB12, constB13)) | v1(constB13)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2364, 2363])).
% 4.12/4.29 tff(2366,plain,
% 4.12/4.29 (v1(constB13)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2365, 41, 2359, 2356])).
% 4.12/4.29 tff(2367,plain,
% 4.12/4.29 (nextState(constB13, constB14) <=> nextState(constB13, constB14)),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2368,axiom,(nextState(constB13, constB14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9791')).
% 4.12/4.29 tff(2369,plain,
% 4.12/4.29 (nextState(constB13, constB14)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2368, 2367])).
% 4.12/4.29 tff(2370,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB13)) | (~nextState(constB13, constB14)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB13)) | (~nextState(constB13, constB14)) | (~v1(constB14)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2371,plain,
% 4.12/4.29 (((~nextState(constB13, constB14)) | (~v1(constB13)) | (~v1(constB14))) <=> ((~v1(constB13)) | (~nextState(constB13, constB14)) | (~v1(constB14)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2372,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB13)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB13)) | (~nextState(constB13, constB14)) | (~v1(constB14))))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2371])).
% 4.12/4.29 tff(2373,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB13)) | (~v1(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB13)) | (~nextState(constB13, constB14)) | (~v1(constB14)))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2372, 2370])).
% 4.12/4.29 tff(2374,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB13, constB14)) | (~v1(constB13)) | (~v1(constB14)))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2375,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB13)) | (~nextState(constB13, constB14)) | (~v1(constB14))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2374, 2373])).
% 4.12/4.29 tff(2376,plain,
% 4.12/4.29 (~v1(constB14)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2375, 64, 2369, 2366])).
% 4.12/4.29 tff(2377,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB13, constB14)) | v1(constB14) | (~v942(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB13, constB14)) | v1(constB14) | (~v942(constB14)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2378,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB13, constB14)) | v1(constB14) | (~v942(constB14)))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2379,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB13, constB14)) | v1(constB14) | (~v942(constB14))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2378, 2377])).
% 4.12/4.29 tff(2380,plain,
% 4.12/4.29 (~v942(constB14)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2379, 696, 2369, 2376])).
% 4.12/4.29 tff(2381,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB13, constB14)) | v942(constB14) | (~v941(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB13, constB14)) | v942(constB14) | (~v941(constB14)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2382,plain,
% 4.12/4.29 (((~nextState(constB13, constB14)) | (~v941(constB14)) | v942(constB14)) <=> ((~nextState(constB13, constB14)) | v942(constB14) | (~v941(constB14)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2383,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB13, constB14)) | (~v941(constB14)) | v942(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB13, constB14)) | v942(constB14) | (~v941(constB14))))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2382])).
% 4.12/4.29 tff(2384,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB13, constB14)) | (~v941(constB14)) | v942(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB13, constB14)) | v942(constB14) | (~v941(constB14)))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2383, 2381])).
% 4.12/4.29 tff(2385,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB13, constB14)) | (~v941(constB14)) | v942(constB14))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2386,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB13, constB14)) | v942(constB14) | (~v941(constB14))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2385, 2384])).
% 4.12/4.29 tff(2387,plain,
% 4.12/4.29 (v942(constB14) | (~v941(constB14))),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2386, 710, 2369])).
% 4.12/4.29 tff(2388,plain,
% 4.12/4.29 (~v941(constB14)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2387, 2380])).
% 4.12/4.29 tff(2389,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB13, bitIndex1)) | (~nextState(constB13, constB14)) | v941(constB14) | v6(constB14, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB13, bitIndex1)) | (~nextState(constB13, constB14)) | v941(constB14) | v6(constB14, bitIndex1))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2390,plain,
% 4.12/4.29 (((~nextState(constB13, constB14)) | (~v6(constB13, bitIndex1)) | v941(constB14) | v6(constB14, bitIndex1)) <=> ((~v6(constB13, bitIndex1)) | (~nextState(constB13, constB14)) | v941(constB14) | v6(constB14, bitIndex1))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2391,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v6(constB13, bitIndex1)) | v941(constB14) | v6(constB14, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB13, bitIndex1)) | (~nextState(constB13, constB14)) | v941(constB14) | v6(constB14, bitIndex1)))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2390])).
% 4.12/4.29 tff(2392,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v6(constB13, bitIndex1)) | v941(constB14) | v6(constB14, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB13, bitIndex1)) | (~nextState(constB13, constB14)) | v941(constB14) | v6(constB14, bitIndex1))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2391, 2389])).
% 4.12/4.29 tff(2393,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB13, constB14)) | (~v6(constB13, bitIndex1)) | v941(constB14) | v6(constB14, bitIndex1))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2394,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB13, bitIndex1)) | (~nextState(constB13, constB14)) | v941(constB14) | v6(constB14, bitIndex1)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2393, 2392])).
% 4.12/4.29 tff(2395,plain,
% 4.12/4.29 ((~v6(constB13, bitIndex1)) | v941(constB14) | v6(constB14, bitIndex1)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2394, 728, 2369])).
% 4.12/4.29 tff(2396,plain,
% 4.12/4.29 ((~v6(constB13, bitIndex1)) | v6(constB14, bitIndex1)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2395, 2388])).
% 4.12/4.29 tff(2397,plain,
% 4.12/4.29 (~v6(constB13, bitIndex1)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2396, 2346])).
% 4.12/4.29 tff(2398,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB12) | (~nextState(constB12, constB13)) | (~v929(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB12) | (~nextState(constB12, constB13)) | (~v929(constB13)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2399,plain,
% 4.12/4.29 (((~nextState(constB12, constB13)) | v1(constB12) | (~v929(constB13))) <=> (v1(constB12) | (~nextState(constB12, constB13)) | (~v929(constB13)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2400,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB12, constB13)) | v1(constB12) | (~v929(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB12) | (~nextState(constB12, constB13)) | (~v929(constB13))))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2399])).
% 4.12/4.29 tff(2401,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB12, constB13)) | v1(constB12) | (~v929(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB12) | (~nextState(constB12, constB13)) | (~v929(constB13)))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2400, 2398])).
% 4.12/4.29 tff(2402,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB12, constB13)) | v1(constB12) | (~v929(constB13)))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2403,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB12) | (~nextState(constB12, constB13)) | (~v929(constB13))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2402, 2401])).
% 4.12/4.29 tff(2404,plain,
% 4.12/4.29 (~v929(constB13)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2403, 164, 2359, 2356])).
% 4.12/4.29 tff(2405,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB12, constB13)) | v944(constB13) | v929(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB12, constB13)) | v944(constB13) | v929(constB13))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2406,plain,
% 4.12/4.29 (((~nextState(constB12, constB13)) | v929(constB13) | v944(constB13)) <=> ((~nextState(constB12, constB13)) | v944(constB13) | v929(constB13))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2407,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB12, constB13)) | v929(constB13) | v944(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB12, constB13)) | v944(constB13) | v929(constB13)))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2406])).
% 4.12/4.29 tff(2408,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB12, constB13)) | v929(constB13) | v944(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB12, constB13)) | v944(constB13) | v929(constB13))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2407, 2405])).
% 4.12/4.29 tff(2409,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB12, constB13)) | v929(constB13) | v944(constB13))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2410,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB12, constB13)) | v944(constB13) | v929(constB13)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2409, 2408])).
% 4.12/4.29 tff(2411,plain,
% 4.12/4.29 (v944(constB13) | v929(constB13)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2410, 181, 2359])).
% 4.12/4.29 tff(2412,plain,
% 4.12/4.29 (v944(constB13)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2411, 2404])).
% 4.12/4.29 tff(2413,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB12, constB13)) | v942(constB13) | (~v1(constB13)) | (~v944(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB12, constB13)) | v942(constB13) | (~v1(constB13)) | (~v944(constB13)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2414,plain,
% 4.12/4.29 (((~nextState(constB12, constB13)) | (~v1(constB13)) | v942(constB13) | (~v944(constB13))) <=> ((~nextState(constB12, constB13)) | v942(constB13) | (~v1(constB13)) | (~v944(constB13)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2415,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB12, constB13)) | (~v1(constB13)) | v942(constB13) | (~v944(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB12, constB13)) | v942(constB13) | (~v1(constB13)) | (~v944(constB13))))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2414])).
% 4.12/4.29 tff(2416,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB12, constB13)) | (~v1(constB13)) | v942(constB13) | (~v944(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB12, constB13)) | v942(constB13) | (~v1(constB13)) | (~v944(constB13)))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2415, 2413])).
% 4.12/4.29 tff(2417,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB12, constB13)) | (~v1(constB13)) | v942(constB13) | (~v944(constB13)))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2418,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB12, constB13)) | v942(constB13) | (~v1(constB13)) | (~v944(constB13))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2417, 2416])).
% 4.12/4.29 tff(2419,plain,
% 4.12/4.29 (v942(constB13) | (~v944(constB13))),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2418, 206, 2359, 2366])).
% 4.12/4.29 tff(2420,plain,
% 4.12/4.29 (v942(constB13)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2419, 2412])).
% 4.12/4.29 tff(2421,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB12, constB13)) | v941(constB13) | (~v942(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB12, constB13)) | v941(constB13) | (~v942(constB13)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2422,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB12, constB13)) | v941(constB13) | (~v942(constB13)))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2423,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB12, constB13)) | v941(constB13) | (~v942(constB13))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2422, 2421])).
% 4.12/4.29 tff(2424,plain,
% 4.12/4.29 (v941(constB13) | (~v942(constB13))),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2423, 224, 2359])).
% 4.12/4.29 tff(2425,plain,
% 4.12/4.29 (v941(constB13)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2424, 2420])).
% 4.12/4.29 tff(2426,plain,
% 4.12/4.29 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB13, bitIndex1) | (~v949(constB13)) | (~v941(constB13)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB13, bitIndex1) | (~v949(constB13)) | (~v941(constB13)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2427,plain,
% 4.12/4.29 ((v6(constB13, bitIndex1) | (~v941(constB13)) | (~v949(constB13))) <=> (v6(constB13, bitIndex1) | (~v949(constB13)) | (~v941(constB13)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2428,plain,
% 4.12/4.29 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB13, bitIndex1) | (~v941(constB13)) | (~v949(constB13)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB13, bitIndex1) | (~v949(constB13)) | (~v941(constB13))))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2427])).
% 4.12/4.29 tff(2429,plain,
% 4.12/4.29 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB13, bitIndex1) | (~v941(constB13)) | (~v949(constB13)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB13, bitIndex1) | (~v949(constB13)) | (~v941(constB13)))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2428, 2426])).
% 4.12/4.29 tff(2430,plain,
% 4.12/4.29 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB13, bitIndex1) | (~v941(constB13)) | (~v949(constB13)))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2431,plain,
% 4.12/4.29 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB13, bitIndex1) | (~v949(constB13)) | (~v941(constB13))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2430, 2429])).
% 4.12/4.29 tff(2432,plain,
% 4.12/4.29 (v6(constB13, bitIndex1) | (~v949(constB13))),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2431, 239, 2425])).
% 4.12/4.29 tff(2433,plain,
% 4.12/4.29 (~v949(constB13)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2432, 2397])).
% 4.12/4.29 tff(2434,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB12, constB13)) | (~v947(constB12)) | v949(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB12, constB13)) | (~v947(constB12)) | v949(constB13))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2435,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB12, constB13)) | (~v947(constB12)) | v949(constB13))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2436,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB12, constB13)) | (~v947(constB12)) | v949(constB13)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2435, 2434])).
% 4.12/4.29 tff(2437,plain,
% 4.12/4.29 ((~v947(constB12)) | v949(constB13)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2436, 257, 2359])).
% 4.12/4.29 tff(2438,plain,
% 4.12/4.29 (~v947(constB12)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2437, 2433])).
% 4.12/4.29 tff(2439,plain,
% 4.12/4.29 (v6(constB14, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.12/4.29 inference(monotonicity,[status(thm)],[1])).
% 4.12/4.29 tff(2440,plain,
% 4.12/4.29 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB14, bitIndex0)),
% 4.12/4.29 inference(symmetry,[status(thm)],[2439])).
% 4.12/4.29 tff(2441,plain,
% 4.12/4.29 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB14, bitIndex0))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2440])).
% 4.12/4.29 tff(2442,plain,
% 4.12/4.29 (~v6(constB14, bitIndex0)),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[266, 2441])).
% 4.12/4.29 tff(2443,assumption,(v6(constB14, bitIndex0)), introduced(assumption)).
% 4.12/4.29 tff(2444,plain,
% 4.12/4.29 ($false),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2443, 2442])).
% 4.12/4.29 tff(2445,plain,((~(constB14 = sK293_VarCurr)) | (~v6(constB14, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.29 tff(2446,plain,
% 4.12/4.29 (~v6(constB14, bitIndex0)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2445, 1, 266])).
% 4.12/4.29 tff(2447,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB13, constB14)) | v1(constB14) | (~v926(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB13, constB14)) | v1(constB14) | (~v926(constB14)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2448,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB13, constB14)) | v1(constB14) | (~v926(constB14)))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2449,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB13, constB14)) | v1(constB14) | (~v926(constB14))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2448, 2447])).
% 4.12/4.29 tff(2450,plain,
% 4.12/4.29 (~v926(constB14)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2449, 555, 2369, 2376])).
% 4.12/4.29 tff(2451,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB13, constB14)) | v926(constB14) | (~v925(constB14)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB13, constB14)) | v926(constB14) | (~v925(constB14)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2452,plain,
% 4.12/4.29 (((~nextState(constB13, constB14)) | (~v925(constB14)) | v926(constB14)) <=> ((~nextState(constB13, constB14)) | v926(constB14) | (~v925(constB14)))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2453,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB13, constB14)) | (~v925(constB14)) | v926(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB13, constB14)) | v926(constB14) | (~v925(constB14))))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2452])).
% 4.12/4.29 tff(2454,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB13, constB14)) | (~v925(constB14)) | v926(constB14))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB13, constB14)) | v926(constB14) | (~v925(constB14)))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2453, 2451])).
% 4.12/4.29 tff(2455,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB13, constB14)) | (~v925(constB14)) | v926(constB14))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2456,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB13, constB14)) | v926(constB14) | (~v925(constB14))),
% 4.12/4.29 inference(modus_ponens,[status(thm)],[2455, 2454])).
% 4.12/4.29 tff(2457,plain,
% 4.12/4.29 (v926(constB14) | (~v925(constB14))),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2456, 569, 2369])).
% 4.12/4.29 tff(2458,plain,
% 4.12/4.29 (~v925(constB14)),
% 4.12/4.29 inference(unit_resolution,[status(thm)],[2457, 2450])).
% 4.12/4.29 tff(2459,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB13, bitIndex0)) | (~nextState(constB13, constB14)) | v925(constB14) | v6(constB14, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB13, bitIndex0)) | (~nextState(constB13, constB14)) | v925(constB14) | v6(constB14, bitIndex0))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2460,plain,
% 4.12/4.29 (((~nextState(constB13, constB14)) | (~v6(constB13, bitIndex0)) | v925(constB14) | v6(constB14, bitIndex0)) <=> ((~v6(constB13, bitIndex0)) | (~nextState(constB13, constB14)) | v925(constB14) | v6(constB14, bitIndex0))),
% 4.12/4.29 inference(rewrite,[status(thm)],[])).
% 4.12/4.29 tff(2461,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v6(constB13, bitIndex0)) | v925(constB14) | v6(constB14, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB13, bitIndex0)) | (~nextState(constB13, constB14)) | v925(constB14) | v6(constB14, bitIndex0)))),
% 4.12/4.29 inference(monotonicity,[status(thm)],[2460])).
% 4.12/4.29 tff(2462,plain,
% 4.12/4.29 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v6(constB13, bitIndex0)) | v925(constB14) | v6(constB14, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB13, bitIndex0)) | (~nextState(constB13, constB14)) | v925(constB14) | v6(constB14, bitIndex0))),
% 4.12/4.29 inference(transitivity,[status(thm)],[2461, 2459])).
% 4.12/4.29 tff(2463,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB13, constB14)) | (~v6(constB13, bitIndex0)) | v925(constB14) | v6(constB14, bitIndex0))),
% 4.12/4.29 inference(quant_inst,[status(thm)],[])).
% 4.12/4.29 tff(2464,plain,
% 4.12/4.29 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB13, bitIndex0)) | (~nextState(constB13, constB14)) | v925(constB14) | v6(constB14, bitIndex0)),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2463, 2462])).
% 4.12/4.30 tff(2465,plain,
% 4.12/4.30 ((~v6(constB13, bitIndex0)) | v925(constB14) | v6(constB14, bitIndex0)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2464, 587, 2369])).
% 4.12/4.30 tff(2466,plain,
% 4.12/4.30 ((~v6(constB13, bitIndex0)) | v6(constB14, bitIndex0)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2465, 2458])).
% 4.12/4.30 tff(2467,plain,
% 4.12/4.30 (~v6(constB13, bitIndex0)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2466, 2446])).
% 4.12/4.30 tff(2468,plain,
% 4.12/4.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB12, constB13)) | v929(constB13) | v927(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB12, constB13)) | v929(constB13) | v927(constB13))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2469,plain,
% 4.12/4.30 (((~nextState(constB12, constB13)) | v927(constB13) | v929(constB13)) <=> ((~nextState(constB12, constB13)) | v929(constB13) | v927(constB13))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2470,plain,
% 4.12/4.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB12, constB13)) | v927(constB13) | v929(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB12, constB13)) | v929(constB13) | v927(constB13)))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2469])).
% 4.12/4.30 tff(2471,plain,
% 4.12/4.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB12, constB13)) | v927(constB13) | v929(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB12, constB13)) | v929(constB13) | v927(constB13))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2470, 2468])).
% 4.12/4.30 tff(2472,plain,
% 4.12/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB12, constB13)) | v927(constB13) | v929(constB13))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2473,plain,
% 4.12/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB12, constB13)) | v929(constB13) | v927(constB13)),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 4.12/4.30 tff(2474,plain,
% 4.12/4.30 (v929(constB13) | v927(constB13)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2473, 281, 2359])).
% 4.12/4.30 tff(2475,plain,
% 4.12/4.30 (v927(constB13)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2474, 2404])).
% 4.12/4.30 tff(2476,plain,
% 4.12/4.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB12, constB13)) | (~v1(constB13)) | v926(constB13) | (~v927(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB12, constB13)) | (~v1(constB13)) | v926(constB13) | (~v927(constB13)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2477,plain,
% 4.12/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB12, constB13)) | (~v1(constB13)) | v926(constB13) | (~v927(constB13)))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2478,plain,
% 4.12/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB12, constB13)) | (~v1(constB13)) | v926(constB13) | (~v927(constB13))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2477, 2476])).
% 4.12/4.30 tff(2479,plain,
% 4.12/4.30 (v926(constB13) | (~v927(constB13))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2478, 299, 2359, 2366])).
% 4.12/4.30 tff(2480,plain,
% 4.12/4.30 (v926(constB13)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2479, 2475])).
% 4.12/4.30 tff(2481,plain,
% 4.12/4.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB12, constB13)) | v925(constB13) | (~v926(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB12, constB13)) | v925(constB13) | (~v926(constB13)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2482,plain,
% 4.12/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB12, constB13)) | v925(constB13) | (~v926(constB13)))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2483,plain,
% 4.12/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB12, constB13)) | v925(constB13) | (~v926(constB13))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2482, 2481])).
% 4.12/4.30 tff(2484,plain,
% 4.12/4.30 (v925(constB13) | (~v926(constB13))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2483, 314, 2359])).
% 4.12/4.30 tff(2485,plain,
% 4.12/4.30 (v925(constB13)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2484, 2480])).
% 4.12/4.30 tff(2486,plain,
% 4.12/4.30 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB13, bitIndex0) | (~v935(constB13)) | (~v925(constB13)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB13, bitIndex0) | (~v935(constB13)) | (~v925(constB13)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2487,plain,
% 4.12/4.30 ((v6(constB13, bitIndex0) | (~v925(constB13)) | (~v935(constB13))) <=> (v6(constB13, bitIndex0) | (~v935(constB13)) | (~v925(constB13)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2488,plain,
% 4.12/4.30 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB13, bitIndex0) | (~v925(constB13)) | (~v935(constB13)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB13, bitIndex0) | (~v935(constB13)) | (~v925(constB13))))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2487])).
% 4.12/4.30 tff(2489,plain,
% 4.12/4.30 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB13, bitIndex0) | (~v925(constB13)) | (~v935(constB13)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB13, bitIndex0) | (~v935(constB13)) | (~v925(constB13)))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2488, 2486])).
% 4.12/4.30 tff(2490,plain,
% 4.12/4.30 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB13, bitIndex0) | (~v925(constB13)) | (~v935(constB13)))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2491,plain,
% 4.12/4.30 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB13, bitIndex0) | (~v935(constB13)) | (~v925(constB13))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2490, 2489])).
% 4.12/4.30 tff(2492,plain,
% 4.12/4.30 (v6(constB13, bitIndex0) | (~v935(constB13))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2491, 329, 2485])).
% 4.12/4.30 tff(2493,plain,
% 4.12/4.30 (~v935(constB13)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2492, 2467])).
% 4.12/4.30 tff(2494,plain,
% 4.12/4.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB12, constB13)) | (~v933(constB12)) | v935(constB13))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB12, constB13)) | (~v933(constB12)) | v935(constB13))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2495,plain,
% 4.12/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB12, constB13)) | (~v933(constB12)) | v935(constB13))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2496,plain,
% 4.12/4.30 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB12, constB13)) | (~v933(constB12)) | v935(constB13)),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2495, 2494])).
% 4.12/4.30 tff(2497,plain,
% 4.12/4.30 ((~v933(constB12)) | v935(constB13)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2496, 347, 2359])).
% 4.12/4.30 tff(2498,plain,
% 4.12/4.30 (~v933(constB12)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2497, 2493])).
% 4.12/4.30 tff(2499,assumption,(~v933(constB12)), introduced(assumption)).
% 4.12/4.30 tff(2500,assumption,(v19(constB12, bitIndex0)), introduced(assumption)).
% 4.12/4.30 tff(2501,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex0)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2502,plain,
% 4.12/4.30 (((~v16(constB12)) | (~v19(constB12, bitIndex0)) | v933(constB12)) <=> (v933(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex0)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2503,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB12)) | (~v19(constB12, bitIndex0)) | v933(constB12))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex0))))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2502])).
% 4.12/4.30 tff(2504,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB12)) | (~v19(constB12, bitIndex0)) | v933(constB12))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex0)))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2503, 2501])).
% 4.12/4.30 tff(2505,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB12)) | (~v19(constB12, bitIndex0)) | v933(constB12))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2506,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex0))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2505, 2504])).
% 4.12/4.30 tff(2507,plain,
% 4.12/4.30 (v933(constB12) | (~v16(constB12))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2506, 364, 2500])).
% 4.12/4.30 tff(2508,plain,
% 4.12/4.30 (~v16(constB12)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2507, 2499])).
% 4.12/4.30 tff(2509,plain,
% 4.12/4.30 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB12) | v933(constB12))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB12) | v933(constB12))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2510,plain,
% 4.12/4.30 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB12) | v933(constB12))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2511,plain,
% 4.12/4.30 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB12) | v933(constB12)),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 4.12/4.30 tff(2512,plain,
% 4.12/4.30 ($false),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2511, 382, 2499, 2508])).
% 4.12/4.30 tff(2513,plain,(v933(constB12) | (~v19(constB12, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.12/4.30 tff(2514,plain,
% 4.12/4.30 (~v19(constB12, bitIndex0)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2513, 2499])).
% 4.12/4.30 tff(2515,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB12)) | v19(constB12, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB12)) | v19(constB12, bitIndex0))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2516,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB12)) | v19(constB12, bitIndex0))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2517,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB12)) | v19(constB12, bitIndex0)),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2516, 2515])).
% 4.12/4.30 tff(2518,plain,
% 4.12/4.30 (~v911(constB12)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2517, 416, 2514])).
% 4.12/4.30 tff(2519,plain,
% 4.12/4.30 (v16(constB12)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2511, 382, 2499])).
% 4.12/4.30 tff(2520,assumption,(~v947(constB12)), introduced(assumption)).
% 4.12/4.30 tff(2521,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex1)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2522,plain,
% 4.12/4.30 (((~v16(constB12)) | (~v19(constB12, bitIndex1)) | v947(constB12)) <=> (v947(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex1)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2523,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB12)) | (~v19(constB12, bitIndex1)) | v947(constB12))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex1))))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2522])).
% 4.12/4.30 tff(2524,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB12)) | (~v19(constB12, bitIndex1)) | v947(constB12))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex1)))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2523, 2521])).
% 4.12/4.30 tff(2525,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB12)) | (~v19(constB12, bitIndex1)) | v947(constB12))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2526,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB12) | (~v16(constB12)) | (~v19(constB12, bitIndex1))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 4.12/4.30 tff(2527,plain,
% 4.12/4.30 ((~v16(constB12)) | (~v19(constB12, bitIndex1))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2526, 400, 2520])).
% 4.12/4.30 tff(2528,plain,
% 4.12/4.30 (~v19(constB12, bitIndex1)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2527, 2519])).
% 4.12/4.30 tff(2529,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB12)) | v19(constB12, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB12)) | v19(constB12, bitIndex1))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2530,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB12)) | v19(constB12, bitIndex1))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2531,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB12)) | v19(constB12, bitIndex1)),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2530, 2529])).
% 4.12/4.30 tff(2532,plain,
% 4.12/4.30 (~v918(constB12)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2531, 539, 2528])).
% 4.12/4.30 tff(2533,assumption,(~v918(constB12)), introduced(assumption)).
% 4.12/4.30 tff(2534,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex3)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2535,plain,
% 4.12/4.30 (((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex3)) | v918(constB12)) <=> ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex3)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2536,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex3)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex3))))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2535])).
% 4.12/4.30 tff(2537,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex3)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex3)))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2536, 2534])).
% 4.12/4.30 tff(2538,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex3)) | v918(constB12))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2539,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex3))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2538, 2537])).
% 4.12/4.30 tff(2540,plain,
% 4.12/4.30 (v918(constB12) | (~v25(constB12, bitIndex3))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2539, 503, 2182])).
% 4.12/4.30 tff(2541,plain,
% 4.12/4.30 (~v25(constB12, bitIndex3)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2540, 2533])).
% 4.12/4.30 tff(2542,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex2)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2543,plain,
% 4.12/4.30 (((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex2)) | v918(constB12)) <=> ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex2)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2544,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex2)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex2))))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2543])).
% 4.12/4.30 tff(2545,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex2)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex2)))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2544, 2542])).
% 4.12/4.30 tff(2546,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex2)) | v918(constB12))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2547,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex2))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2546, 2545])).
% 4.12/4.30 tff(2548,plain,
% 4.12/4.30 (v918(constB12) | (~v25(constB12, bitIndex2))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2547, 467, 2182])).
% 4.12/4.30 tff(2549,plain,
% 4.12/4.30 (~v25(constB12, bitIndex2)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2548, 2533])).
% 4.12/4.30 tff(2550,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex0)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2551,plain,
% 4.12/4.30 (((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex0)) | v918(constB12)) <=> ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex0)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2552,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex0)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex0))))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2551])).
% 4.12/4.30 tff(2553,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex0)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex0)))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2552, 2550])).
% 4.12/4.30 tff(2554,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex0)) | v918(constB12))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2555,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex0))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2554, 2553])).
% 4.12/4.30 tff(2556,plain,
% 4.12/4.30 (v918(constB12) | (~v25(constB12, bitIndex0))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2555, 449, 2182])).
% 4.12/4.30 tff(2557,plain,
% 4.12/4.30 (~v25(constB12, bitIndex0)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2556, 2533])).
% 4.12/4.30 tff(2558,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex4)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2559,plain,
% 4.12/4.30 (((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex4)) | v918(constB12)) <=> ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex4)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2560,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex4)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex4))))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2559])).
% 4.12/4.30 tff(2561,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex4)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex4)))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2560, 2558])).
% 4.12/4.30 tff(2562,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex4)) | v918(constB12))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2563,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex4))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2562, 2561])).
% 4.12/4.30 tff(2564,plain,
% 4.12/4.30 (v918(constB12) | (~v25(constB12, bitIndex4))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2563, 485, 2182])).
% 4.12/4.30 tff(2565,plain,
% 4.12/4.30 (~v25(constB12, bitIndex4)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2564, 2533])).
% 4.12/4.30 tff(2566,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex1)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2567,plain,
% 4.12/4.30 (((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex1)) | v918(constB12)) <=> ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex1)))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2568,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex1)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex1))))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2567])).
% 4.12/4.30 tff(2569,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex1)) | v918(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex1)))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2568, 2566])).
% 4.12/4.30 tff(2570,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB12, bitIndex0)) | (~v25(constB12, bitIndex1)) | v918(constB12))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2571,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB12, bitIndex0)) | v918(constB12) | (~v25(constB12, bitIndex1))),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2570, 2569])).
% 4.12/4.30 tff(2572,plain,
% 4.12/4.30 (v918(constB12) | (~v25(constB12, bitIndex1))),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2571, 431, 2182])).
% 4.12/4.30 tff(2573,plain,
% 4.12/4.30 (~v25(constB12, bitIndex1)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2572, 2533])).
% 4.12/4.30 tff(2574,assumption,(~v911(constB12)), introduced(assumption)).
% 4.12/4.30 tff(2575,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB12, bitIndex0)) | v911(constB12) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB12, bitIndex0)) | v911(constB12) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2576,plain,
% 4.12/4.30 (((~v6(constB12, bitIndex0)) | v25(constB12, bitIndex1) | v25(constB12, bitIndex0) | v25(constB12, bitIndex2) | v25(constB12, bitIndex3) | v25(constB12, bitIndex4) | v911(constB12)) <=> ((~v6(constB12, bitIndex0)) | v911(constB12) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1))),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2577,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB12, bitIndex0)) | v25(constB12, bitIndex1) | v25(constB12, bitIndex0) | v25(constB12, bitIndex2) | v25(constB12, bitIndex3) | v25(constB12, bitIndex4) | v911(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB12, bitIndex0)) | v911(constB12) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1)))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2576])).
% 4.12/4.30 tff(2578,plain,
% 4.12/4.30 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB12, bitIndex0)) | v25(constB12, bitIndex1) | v25(constB12, bitIndex0) | v25(constB12, bitIndex2) | v25(constB12, bitIndex3) | v25(constB12, bitIndex4) | v911(constB12))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB12, bitIndex0)) | v911(constB12) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1))),
% 4.12/4.30 inference(transitivity,[status(thm)],[2577, 2575])).
% 4.12/4.30 tff(2579,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB12, bitIndex0)) | v25(constB12, bitIndex1) | v25(constB12, bitIndex0) | v25(constB12, bitIndex2) | v25(constB12, bitIndex3) | v25(constB12, bitIndex4) | v911(constB12))),
% 4.12/4.30 inference(quant_inst,[status(thm)],[])).
% 4.12/4.30 tff(2580,plain,
% 4.12/4.30 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB12, bitIndex0)) | v911(constB12) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1)),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2579, 2578])).
% 4.12/4.30 tff(2581,plain,
% 4.12/4.30 ((~v6(constB12, bitIndex0)) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2580, 522, 2574])).
% 4.12/4.30 tff(2582,plain,
% 4.12/4.30 ($false),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2581, 2573, 2565, 2182, 2557, 2549, 2541])).
% 4.12/4.30 tff(2583,plain,(v918(constB12) | (~v6(constB12, bitIndex0)) | v911(constB12)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.30 tff(2584,plain,
% 4.12/4.30 ($false),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2583, 2532, 2518, 2182])).
% 4.12/4.30 tff(2585,plain,(v933(constB12) | (~v6(constB12, bitIndex0)) | v947(constB12)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.30 tff(2586,plain,
% 4.12/4.30 ($false),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2585, 2498, 2438, 2182])).
% 4.12/4.30 tff(2587,plain,((~(constB14 = sK293_VarCurr)) | (~v6(constB12, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.30 tff(2588,plain,
% 4.12/4.30 (~(constB14 = sK293_VarCurr)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2587, 2182, 19])).
% 4.12/4.30 tff(2589,assumption,(constB19 = sK293_VarCurr), introduced(assumption)).
% 4.12/4.30 tff(2590,plain,
% 4.12/4.30 (v6(constB19, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2589])).
% 4.12/4.30 tff(2591,plain,
% 4.12/4.30 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB19, bitIndex0)),
% 4.12/4.30 inference(symmetry,[status(thm)],[2590])).
% 4.12/4.30 tff(2592,plain,
% 4.12/4.30 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB19, bitIndex0))),
% 4.12/4.30 inference(monotonicity,[status(thm)],[2591])).
% 4.12/4.30 tff(2593,plain,
% 4.12/4.30 (~v6(constB19, bitIndex0)),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[266, 2592])).
% 4.12/4.30 tff(2594,assumption,(v6(constB19, bitIndex0)), introduced(assumption)).
% 4.12/4.30 tff(2595,plain,
% 4.12/4.30 ($false),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2594, 2593])).
% 4.12/4.30 tff(2596,plain,((~(constB19 = sK293_VarCurr)) | (~v6(constB19, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.30 tff(2597,plain,
% 4.12/4.30 (~v6(constB19, bitIndex0)),
% 4.12/4.30 inference(unit_resolution,[status(thm)],[2596, 2589, 19])).
% 4.12/4.30 tff(2598,plain,
% 4.12/4.30 (nextState(constB14, constB15) <=> nextState(constB14, constB15)),
% 4.12/4.30 inference(rewrite,[status(thm)],[])).
% 4.12/4.30 tff(2599,axiom,(nextState(constB14, constB15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9790')).
% 4.12/4.30 tff(2600,plain,
% 4.12/4.30 (nextState(constB14, constB15)),
% 4.12/4.30 inference(modus_ponens,[status(thm)],[2599, 2598])).
% 4.12/4.30 tff(2601,plain,
% 4.12/4.30 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB14) | (~nextState(constB14, constB15)) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB14) | (~nextState(constB14, constB15)) | v1(constB15))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2602,plain,
% 4.12/4.31 (((~nextState(constB14, constB15)) | v1(constB14) | v1(constB15)) <=> (v1(constB14) | (~nextState(constB14, constB15)) | v1(constB15))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2603,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB14, constB15)) | v1(constB14) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB14) | (~nextState(constB14, constB15)) | v1(constB15)))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2602])).
% 4.12/4.31 tff(2604,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB14, constB15)) | v1(constB14) | v1(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB14) | (~nextState(constB14, constB15)) | v1(constB15))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2603, 2601])).
% 4.12/4.31 tff(2605,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB14, constB15)) | v1(constB14) | v1(constB15))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2606,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB14) | (~nextState(constB14, constB15)) | v1(constB15)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2605, 2604])).
% 4.12/4.31 tff(2607,plain,
% 4.12/4.31 (v1(constB15)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2606, 41, 2600, 2376])).
% 4.12/4.31 tff(2608,plain,
% 4.12/4.31 (nextState(constB15, constB16) <=> nextState(constB15, constB16)),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2609,axiom,(nextState(constB15, constB16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9789')).
% 4.12/4.31 tff(2610,plain,
% 4.12/4.31 (nextState(constB15, constB16)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2609, 2608])).
% 4.12/4.31 tff(2611,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB15)) | (~nextState(constB15, constB16)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB15)) | (~nextState(constB15, constB16)) | (~v1(constB16)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2612,plain,
% 4.12/4.31 (((~nextState(constB15, constB16)) | (~v1(constB15)) | (~v1(constB16))) <=> ((~v1(constB15)) | (~nextState(constB15, constB16)) | (~v1(constB16)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2613,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB15)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB15)) | (~nextState(constB15, constB16)) | (~v1(constB16))))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2612])).
% 4.12/4.31 tff(2614,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB15)) | (~v1(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB15)) | (~nextState(constB15, constB16)) | (~v1(constB16)))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2613, 2611])).
% 4.12/4.31 tff(2615,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB15, constB16)) | (~v1(constB15)) | (~v1(constB16)))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2616,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB15)) | (~nextState(constB15, constB16)) | (~v1(constB16))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2615, 2614])).
% 4.12/4.31 tff(2617,plain,
% 4.12/4.31 (~v1(constB16)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2616, 64, 2610, 2607])).
% 4.12/4.31 tff(2618,plain,
% 4.12/4.31 (nextState(constB16, constB17) <=> nextState(constB16, constB17)),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2619,axiom,(nextState(constB16, constB17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9788')).
% 4.12/4.31 tff(2620,plain,
% 4.12/4.31 (nextState(constB16, constB17)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2619, 2618])).
% 4.12/4.31 tff(2621,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB16) | (~nextState(constB16, constB17)) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB16) | (~nextState(constB16, constB17)) | v1(constB17))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2622,plain,
% 4.12/4.31 (((~nextState(constB16, constB17)) | v1(constB16) | v1(constB17)) <=> (v1(constB16) | (~nextState(constB16, constB17)) | v1(constB17))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2623,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB16, constB17)) | v1(constB16) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB16) | (~nextState(constB16, constB17)) | v1(constB17)))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2622])).
% 4.12/4.31 tff(2624,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB16, constB17)) | v1(constB16) | v1(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB16) | (~nextState(constB16, constB17)) | v1(constB17))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2623, 2621])).
% 4.12/4.31 tff(2625,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB16, constB17)) | v1(constB16) | v1(constB17))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2626,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB16) | (~nextState(constB16, constB17)) | v1(constB17)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 4.12/4.31 tff(2627,plain,
% 4.12/4.31 (v1(constB17)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2626, 41, 2620, 2617])).
% 4.12/4.31 tff(2628,plain,
% 4.12/4.31 (nextState(constB17, constB18) <=> nextState(constB17, constB18)),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2629,axiom,(nextState(constB17, constB18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9787')).
% 4.12/4.31 tff(2630,plain,
% 4.12/4.31 (nextState(constB17, constB18)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2629, 2628])).
% 4.12/4.31 tff(2631,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB17)) | (~nextState(constB17, constB18)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB17)) | (~nextState(constB17, constB18)) | (~v1(constB18)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2632,plain,
% 4.12/4.31 (((~nextState(constB17, constB18)) | (~v1(constB17)) | (~v1(constB18))) <=> ((~v1(constB17)) | (~nextState(constB17, constB18)) | (~v1(constB18)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2633,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB17)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB17)) | (~nextState(constB17, constB18)) | (~v1(constB18))))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2632])).
% 4.12/4.31 tff(2634,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB17)) | (~v1(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB17)) | (~nextState(constB17, constB18)) | (~v1(constB18)))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2633, 2631])).
% 4.12/4.31 tff(2635,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB17, constB18)) | (~v1(constB17)) | (~v1(constB18)))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2636,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB17)) | (~nextState(constB17, constB18)) | (~v1(constB18))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2635, 2634])).
% 4.12/4.31 tff(2637,plain,
% 4.12/4.31 (~v1(constB18)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2636, 64, 2630, 2627])).
% 4.12/4.31 tff(2638,plain,
% 4.12/4.31 (nextState(constB18, constB19) <=> nextState(constB18, constB19)),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2639,axiom,(nextState(constB18, constB19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9786')).
% 4.12/4.31 tff(2640,plain,
% 4.12/4.31 (nextState(constB18, constB19)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2639, 2638])).
% 4.12/4.31 tff(2641,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB18) | (~nextState(constB18, constB19)) | (~v929(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB18) | (~nextState(constB18, constB19)) | (~v929(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2642,plain,
% 4.12/4.31 (((~nextState(constB18, constB19)) | v1(constB18) | (~v929(constB19))) <=> (v1(constB18) | (~nextState(constB18, constB19)) | (~v929(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2643,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB18) | (~v929(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB18) | (~nextState(constB18, constB19)) | (~v929(constB19))))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2642])).
% 4.12/4.31 tff(2644,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB18) | (~v929(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB18) | (~nextState(constB18, constB19)) | (~v929(constB19)))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2643, 2641])).
% 4.12/4.31 tff(2645,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB18, constB19)) | v1(constB18) | (~v929(constB19)))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2646,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB18) | (~nextState(constB18, constB19)) | (~v929(constB19))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2645, 2644])).
% 4.12/4.31 tff(2647,plain,
% 4.12/4.31 (~v929(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2646, 164, 2640, 2637])).
% 4.12/4.31 tff(2648,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB18, constB19)) | v929(constB19) | v927(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB18, constB19)) | v929(constB19) | v927(constB19))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2649,plain,
% 4.12/4.31 (((~nextState(constB18, constB19)) | v927(constB19) | v929(constB19)) <=> ((~nextState(constB18, constB19)) | v929(constB19) | v927(constB19))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2650,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB18, constB19)) | v927(constB19) | v929(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB18, constB19)) | v929(constB19) | v927(constB19)))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2649])).
% 4.12/4.31 tff(2651,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB18, constB19)) | v927(constB19) | v929(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB18, constB19)) | v929(constB19) | v927(constB19))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2650, 2648])).
% 4.12/4.31 tff(2652,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB18, constB19)) | v927(constB19) | v929(constB19))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2653,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB18, constB19)) | v929(constB19) | v927(constB19)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2652, 2651])).
% 4.12/4.31 tff(2654,plain,
% 4.12/4.31 (v929(constB19) | v927(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2653, 281, 2640])).
% 4.12/4.31 tff(2655,plain,
% 4.12/4.31 (v927(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2654, 2647])).
% 4.12/4.31 tff(2656,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB18) | (~nextState(constB18, constB19)) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB18) | (~nextState(constB18, constB19)) | v1(constB19))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2657,plain,
% 4.12/4.31 (((~nextState(constB18, constB19)) | v1(constB18) | v1(constB19)) <=> (v1(constB18) | (~nextState(constB18, constB19)) | v1(constB19))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2658,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB18, constB19)) | v1(constB18) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | (v1(constB18) | (~nextState(constB18, constB19)) | v1(constB19)))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2657])).
% 4.12/4.31 tff(2659,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB18, constB19)) | v1(constB18) | v1(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB18) | (~nextState(constB18, constB19)) | v1(constB19))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2658, 2656])).
% 4.12/4.31 tff(2660,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | ((~nextState(constB18, constB19)) | v1(constB18) | v1(constB19))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2661,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | v1(VarNext))) | v1(constB18) | (~nextState(constB18, constB19)) | v1(constB19)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2660, 2659])).
% 4.12/4.31 tff(2662,plain,
% 4.12/4.31 (v1(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2661, 41, 2640, 2637])).
% 4.12/4.31 tff(2663,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB18, constB19)) | (~v1(constB19)) | v926(constB19) | (~v927(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB18, constB19)) | (~v1(constB19)) | v926(constB19) | (~v927(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2664,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB18, constB19)) | (~v1(constB19)) | v926(constB19) | (~v927(constB19)))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2665,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB18, constB19)) | (~v1(constB19)) | v926(constB19) | (~v927(constB19))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2664, 2663])).
% 4.12/4.31 tff(2666,plain,
% 4.12/4.31 (v926(constB19) | (~v927(constB19))),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2665, 299, 2640, 2662])).
% 4.12/4.31 tff(2667,plain,
% 4.12/4.31 (v926(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2666, 2655])).
% 4.12/4.31 tff(2668,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB18, constB19)) | v925(constB19) | (~v926(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB18, constB19)) | v925(constB19) | (~v926(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2669,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB18, constB19)) | v925(constB19) | (~v926(constB19)))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2670,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB18, constB19)) | v925(constB19) | (~v926(constB19))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2669, 2668])).
% 4.12/4.31 tff(2671,plain,
% 4.12/4.31 (v925(constB19) | (~v926(constB19))),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2670, 314, 2640])).
% 4.12/4.31 tff(2672,plain,
% 4.12/4.31 (v925(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2671, 2667])).
% 4.12/4.31 tff(2673,plain,
% 4.12/4.31 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB19, bitIndex0) | (~v935(constB19)) | (~v925(constB19)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB19, bitIndex0) | (~v935(constB19)) | (~v925(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2674,plain,
% 4.12/4.31 ((v6(constB19, bitIndex0) | (~v925(constB19)) | (~v935(constB19))) <=> (v6(constB19, bitIndex0) | (~v935(constB19)) | (~v925(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2675,plain,
% 4.12/4.31 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB19, bitIndex0) | (~v925(constB19)) | (~v935(constB19)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB19, bitIndex0) | (~v935(constB19)) | (~v925(constB19))))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2674])).
% 4.12/4.31 tff(2676,plain,
% 4.12/4.31 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB19, bitIndex0) | (~v925(constB19)) | (~v935(constB19)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB19, bitIndex0) | (~v935(constB19)) | (~v925(constB19)))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2675, 2673])).
% 4.12/4.31 tff(2677,plain,
% 4.12/4.31 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB19, bitIndex0) | (~v925(constB19)) | (~v935(constB19)))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2678,plain,
% 4.12/4.31 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB19, bitIndex0) | (~v935(constB19)) | (~v925(constB19))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2677, 2676])).
% 4.12/4.31 tff(2679,plain,
% 4.12/4.31 (v6(constB19, bitIndex0) | (~v935(constB19))),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2678, 329, 2672])).
% 4.12/4.31 tff(2680,plain,
% 4.12/4.31 (~v935(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2679, 2597])).
% 4.12/4.31 tff(2681,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB18, constB19)) | (~v933(constB18)) | v935(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB18, constB19)) | (~v933(constB18)) | v935(constB19))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2682,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB18, constB19)) | (~v933(constB18)) | v935(constB19))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2683,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB18, constB19)) | (~v933(constB18)) | v935(constB19)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2682, 2681])).
% 4.12/4.31 tff(2684,plain,
% 4.12/4.31 ((~v933(constB18)) | v935(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2683, 347, 2640])).
% 4.12/4.31 tff(2685,plain,
% 4.12/4.31 (~v933(constB18)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2684, 2680])).
% 4.12/4.31 tff(2686,plain,
% 4.12/4.31 (v6(constB19, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2589])).
% 4.12/4.31 tff(2687,plain,
% 4.12/4.31 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB19, bitIndex1)),
% 4.12/4.31 inference(symmetry,[status(thm)],[2686])).
% 4.12/4.31 tff(2688,plain,
% 4.12/4.31 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB19, bitIndex1))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2687])).
% 4.12/4.31 tff(2689,plain,
% 4.12/4.31 (~v6(constB19, bitIndex1)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[4, 2688])).
% 4.12/4.31 tff(2690,assumption,(v6(constB19, bitIndex1)), introduced(assumption)).
% 4.12/4.31 tff(2691,plain,
% 4.12/4.31 ($false),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2690, 2689])).
% 4.12/4.31 tff(2692,plain,((~(constB19 = sK293_VarCurr)) | (~v6(constB19, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.31 tff(2693,plain,
% 4.12/4.31 (~v6(constB19, bitIndex1)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2692, 2589, 4])).
% 4.12/4.31 tff(2694,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB18, constB19)) | v944(constB19) | v929(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB18, constB19)) | v944(constB19) | v929(constB19))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2695,plain,
% 4.12/4.31 (((~nextState(constB18, constB19)) | v929(constB19) | v944(constB19)) <=> ((~nextState(constB18, constB19)) | v944(constB19) | v929(constB19))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2696,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB18, constB19)) | v929(constB19) | v944(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB18, constB19)) | v944(constB19) | v929(constB19)))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2695])).
% 4.12/4.31 tff(2697,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB18, constB19)) | v929(constB19) | v944(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB18, constB19)) | v944(constB19) | v929(constB19))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2696, 2694])).
% 4.12/4.31 tff(2698,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB18, constB19)) | v929(constB19) | v944(constB19))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2699,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB18, constB19)) | v944(constB19) | v929(constB19)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2698, 2697])).
% 4.12/4.31 tff(2700,plain,
% 4.12/4.31 (v944(constB19) | v929(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2699, 181, 2640])).
% 4.12/4.31 tff(2701,plain,
% 4.12/4.31 (v944(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2700, 2647])).
% 4.12/4.31 tff(2702,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB18, constB19)) | v942(constB19) | (~v1(constB19)) | (~v944(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB18, constB19)) | v942(constB19) | (~v1(constB19)) | (~v944(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2703,plain,
% 4.12/4.31 (((~nextState(constB18, constB19)) | (~v1(constB19)) | v942(constB19) | (~v944(constB19))) <=> ((~nextState(constB18, constB19)) | v942(constB19) | (~v1(constB19)) | (~v944(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2704,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB18, constB19)) | (~v1(constB19)) | v942(constB19) | (~v944(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB18, constB19)) | v942(constB19) | (~v1(constB19)) | (~v944(constB19))))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2703])).
% 4.12/4.31 tff(2705,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB18, constB19)) | (~v1(constB19)) | v942(constB19) | (~v944(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB18, constB19)) | v942(constB19) | (~v1(constB19)) | (~v944(constB19)))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2704, 2702])).
% 4.12/4.31 tff(2706,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB18, constB19)) | (~v1(constB19)) | v942(constB19) | (~v944(constB19)))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2707,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB18, constB19)) | v942(constB19) | (~v1(constB19)) | (~v944(constB19))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2706, 2705])).
% 4.12/4.31 tff(2708,plain,
% 4.12/4.31 (v942(constB19) | (~v944(constB19))),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2707, 206, 2640, 2662])).
% 4.12/4.31 tff(2709,plain,
% 4.12/4.31 (v942(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2708, 2701])).
% 4.12/4.31 tff(2710,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB18, constB19)) | v941(constB19) | (~v942(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB18, constB19)) | v941(constB19) | (~v942(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2711,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB18, constB19)) | v941(constB19) | (~v942(constB19)))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2712,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB18, constB19)) | v941(constB19) | (~v942(constB19))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2711, 2710])).
% 4.12/4.31 tff(2713,plain,
% 4.12/4.31 (v941(constB19) | (~v942(constB19))),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2712, 224, 2640])).
% 4.12/4.31 tff(2714,plain,
% 4.12/4.31 (v941(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2713, 2709])).
% 4.12/4.31 tff(2715,plain,
% 4.12/4.31 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB19, bitIndex1) | (~v949(constB19)) | (~v941(constB19)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB19, bitIndex1) | (~v949(constB19)) | (~v941(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2716,plain,
% 4.12/4.31 ((v6(constB19, bitIndex1) | (~v941(constB19)) | (~v949(constB19))) <=> (v6(constB19, bitIndex1) | (~v949(constB19)) | (~v941(constB19)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2717,plain,
% 4.12/4.31 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB19, bitIndex1) | (~v941(constB19)) | (~v949(constB19)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB19, bitIndex1) | (~v949(constB19)) | (~v941(constB19))))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2716])).
% 4.12/4.31 tff(2718,plain,
% 4.12/4.31 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB19, bitIndex1) | (~v941(constB19)) | (~v949(constB19)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB19, bitIndex1) | (~v949(constB19)) | (~v941(constB19)))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2717, 2715])).
% 4.12/4.31 tff(2719,plain,
% 4.12/4.31 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB19, bitIndex1) | (~v941(constB19)) | (~v949(constB19)))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2720,plain,
% 4.12/4.31 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB19, bitIndex1) | (~v949(constB19)) | (~v941(constB19))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2719, 2718])).
% 4.12/4.31 tff(2721,plain,
% 4.12/4.31 (v6(constB19, bitIndex1) | (~v949(constB19))),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2720, 239, 2714])).
% 4.12/4.31 tff(2722,plain,
% 4.12/4.31 (~v949(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2721, 2693])).
% 4.12/4.31 tff(2723,plain,
% 4.12/4.31 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB18, constB19)) | (~v947(constB18)) | v949(constB19))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB18, constB19)) | (~v947(constB18)) | v949(constB19))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2724,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB18, constB19)) | (~v947(constB18)) | v949(constB19))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2725,plain,
% 4.12/4.31 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB18, constB19)) | (~v947(constB18)) | v949(constB19)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2724, 2723])).
% 4.12/4.31 tff(2726,plain,
% 4.12/4.31 ((~v947(constB18)) | v949(constB19)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2725, 257, 2640])).
% 4.12/4.31 tff(2727,plain,
% 4.12/4.31 (~v947(constB18)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2726, 2722])).
% 4.12/4.31 tff(2728,assumption,(~v933(constB18)), introduced(assumption)).
% 4.12/4.31 tff(2729,plain,
% 4.12/4.31 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB18) | v933(constB18))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB18) | v933(constB18))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2730,plain,
% 4.12/4.31 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB18) | v933(constB18))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2731,plain,
% 4.12/4.31 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB18) | v933(constB18)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2730, 2729])).
% 4.12/4.31 tff(2732,plain,
% 4.12/4.31 (v16(constB18)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2731, 382, 2728])).
% 4.12/4.31 tff(2733,assumption,(~v947(constB18)), introduced(assumption)).
% 4.12/4.31 tff(2734,plain,
% 4.12/4.31 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex1)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2735,plain,
% 4.12/4.31 (((~v16(constB18)) | (~v19(constB18, bitIndex1)) | v947(constB18)) <=> (v947(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex1)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2736,plain,
% 4.12/4.31 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB18)) | (~v19(constB18, bitIndex1)) | v947(constB18))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex1))))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2735])).
% 4.12/4.31 tff(2737,plain,
% 4.12/4.31 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB18)) | (~v19(constB18, bitIndex1)) | v947(constB18))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex1)))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2736, 2734])).
% 4.12/4.31 tff(2738,plain,
% 4.12/4.31 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB18)) | (~v19(constB18, bitIndex1)) | v947(constB18))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2739,plain,
% 4.12/4.31 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex1))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2738, 2737])).
% 4.12/4.31 tff(2740,plain,
% 4.12/4.31 ((~v16(constB18)) | (~v19(constB18, bitIndex1))),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2739, 400, 2733])).
% 4.12/4.31 tff(2741,plain,
% 4.12/4.31 (~v19(constB18, bitIndex1)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2740, 2732])).
% 4.12/4.31 tff(2742,plain,
% 4.12/4.31 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB18)) | v19(constB18, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB18)) | v19(constB18, bitIndex1))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2743,plain,
% 4.12/4.31 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB18)) | v19(constB18, bitIndex1))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2744,plain,
% 4.12/4.31 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB18)) | v19(constB18, bitIndex1)),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2743, 2742])).
% 4.12/4.31 tff(2745,plain,
% 4.12/4.31 (~v918(constB18)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2744, 539, 2741])).
% 4.12/4.31 tff(2746,assumption,(v19(constB18, bitIndex0)), introduced(assumption)).
% 4.12/4.31 tff(2747,plain,
% 4.12/4.31 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex0)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2748,plain,
% 4.12/4.31 (((~v16(constB18)) | (~v19(constB18, bitIndex0)) | v933(constB18)) <=> (v933(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex0)))),
% 4.12/4.31 inference(rewrite,[status(thm)],[])).
% 4.12/4.31 tff(2749,plain,
% 4.12/4.31 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB18)) | (~v19(constB18, bitIndex0)) | v933(constB18))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex0))))),
% 4.12/4.31 inference(monotonicity,[status(thm)],[2748])).
% 4.12/4.31 tff(2750,plain,
% 4.12/4.31 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB18)) | (~v19(constB18, bitIndex0)) | v933(constB18))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex0)))),
% 4.12/4.31 inference(transitivity,[status(thm)],[2749, 2747])).
% 4.12/4.31 tff(2751,plain,
% 4.12/4.31 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB18)) | (~v19(constB18, bitIndex0)) | v933(constB18))),
% 4.12/4.31 inference(quant_inst,[status(thm)],[])).
% 4.12/4.31 tff(2752,plain,
% 4.12/4.31 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB18) | (~v16(constB18)) | (~v19(constB18, bitIndex0))),
% 4.12/4.31 inference(modus_ponens,[status(thm)],[2751, 2750])).
% 4.12/4.31 tff(2753,plain,
% 4.12/4.31 (v933(constB18) | (~v16(constB18))),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2752, 364, 2746])).
% 4.12/4.31 tff(2754,plain,
% 4.12/4.31 (~v16(constB18)),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2753, 2728])).
% 4.12/4.31 tff(2755,plain,
% 4.12/4.31 ($false),
% 4.12/4.31 inference(unit_resolution,[status(thm)],[2731, 382, 2728, 2754])).
% 4.12/4.32 tff(2756,plain,(v933(constB18) | (~v19(constB18, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.12/4.32 tff(2757,plain,
% 4.12/4.32 (~v19(constB18, bitIndex0)),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2756, 2728])).
% 4.12/4.32 tff(2758,assumption,(v6(constB18, bitIndex1)), introduced(assumption)).
% 4.12/4.32 tff(2759,assumption,(~v19(constB18, bitIndex0)), introduced(assumption)).
% 4.12/4.32 tff(2760,plain,
% 4.12/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB18, bitIndex1)) | v19(constB18, bitIndex0) | (~v702(constB18)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB18, bitIndex1)) | v19(constB18, bitIndex0) | (~v702(constB18)))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2761,plain,
% 4.12/4.32 (((~v6(constB18, bitIndex1)) | (~v702(constB18)) | v19(constB18, bitIndex0)) <=> ((~v6(constB18, bitIndex1)) | v19(constB18, bitIndex0) | (~v702(constB18)))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2762,plain,
% 4.12/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB18, bitIndex1)) | (~v702(constB18)) | v19(constB18, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB18, bitIndex1)) | v19(constB18, bitIndex0) | (~v702(constB18))))),
% 4.12/4.32 inference(monotonicity,[status(thm)],[2761])).
% 4.12/4.32 tff(2763,plain,
% 4.12/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB18, bitIndex1)) | (~v702(constB18)) | v19(constB18, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB18, bitIndex1)) | v19(constB18, bitIndex0) | (~v702(constB18)))),
% 4.12/4.32 inference(transitivity,[status(thm)],[2762, 2760])).
% 4.12/4.32 tff(2764,plain,
% 4.12/4.32 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB18, bitIndex1)) | (~v702(constB18)) | v19(constB18, bitIndex0))),
% 4.12/4.32 inference(quant_inst,[status(thm)],[])).
% 4.12/4.32 tff(2765,plain,
% 4.12/4.32 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB18, bitIndex1)) | v19(constB18, bitIndex0) | (~v702(constB18))),
% 4.12/4.32 inference(modus_ponens,[status(thm)],[2764, 2763])).
% 4.12/4.32 tff(2766,plain,
% 4.12/4.32 ((~v6(constB18, bitIndex1)) | (~v702(constB18))),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2765, 663, 2759])).
% 4.12/4.32 tff(2767,plain,
% 4.12/4.32 (~v702(constB18)),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2766, 2758])).
% 4.12/4.32 tff(2768,assumption,(~v19(constB18, bitIndex1)), introduced(assumption)).
% 4.12/4.32 tff(2769,plain,
% 4.12/4.32 (((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB18) | (~v6(constB18, bitIndex1)) | v19(constB18, bitIndex1))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB18) | (~v6(constB18, bitIndex1)) | v19(constB18, bitIndex1))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2770,plain,
% 4.12/4.32 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB18) | (~v6(constB18, bitIndex1)) | v19(constB18, bitIndex1))),
% 4.12/4.32 inference(quant_inst,[status(thm)],[])).
% 4.12/4.32 tff(2771,plain,
% 4.12/4.32 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB18) | (~v6(constB18, bitIndex1)) | v19(constB18, bitIndex1)),
% 4.12/4.32 inference(modus_ponens,[status(thm)],[2770, 2769])).
% 4.12/4.32 tff(2772,plain,
% 4.12/4.32 (v702(constB18) | (~v6(constB18, bitIndex1))),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2771, 679, 2768])).
% 4.12/4.32 tff(2773,plain,
% 4.12/4.32 ($false),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2772, 2767, 2758])).
% 4.12/4.32 tff(2774,plain,((~v6(constB18, bitIndex1)) | v19(constB18, bitIndex1) | v19(constB18, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.12/4.32 tff(2775,plain,
% 4.12/4.32 (~v6(constB18, bitIndex1)),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2774, 2741, 2757])).
% 4.12/4.32 tff(2776,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB17, constB18)) | v1(constB18) | (~v942(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB17, constB18)) | v1(constB18) | (~v942(constB18)))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2777,plain,
% 4.12/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB17, constB18)) | v1(constB18) | (~v942(constB18)))),
% 4.12/4.32 inference(quant_inst,[status(thm)],[])).
% 4.12/4.32 tff(2778,plain,
% 4.12/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB17, constB18)) | v1(constB18) | (~v942(constB18))),
% 4.12/4.32 inference(modus_ponens,[status(thm)],[2777, 2776])).
% 4.12/4.32 tff(2779,plain,
% 4.12/4.32 (~v942(constB18)),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2778, 696, 2630, 2637])).
% 4.12/4.32 tff(2780,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB17, constB18)) | v942(constB18) | (~v941(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB17, constB18)) | v942(constB18) | (~v941(constB18)))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2781,plain,
% 4.12/4.32 (((~nextState(constB17, constB18)) | (~v941(constB18)) | v942(constB18)) <=> ((~nextState(constB17, constB18)) | v942(constB18) | (~v941(constB18)))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2782,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB17, constB18)) | (~v941(constB18)) | v942(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB17, constB18)) | v942(constB18) | (~v941(constB18))))),
% 4.12/4.32 inference(monotonicity,[status(thm)],[2781])).
% 4.12/4.32 tff(2783,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB17, constB18)) | (~v941(constB18)) | v942(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB17, constB18)) | v942(constB18) | (~v941(constB18)))),
% 4.12/4.32 inference(transitivity,[status(thm)],[2782, 2780])).
% 4.12/4.32 tff(2784,plain,
% 4.12/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB17, constB18)) | (~v941(constB18)) | v942(constB18))),
% 4.12/4.32 inference(quant_inst,[status(thm)],[])).
% 4.12/4.32 tff(2785,plain,
% 4.12/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB17, constB18)) | v942(constB18) | (~v941(constB18))),
% 4.12/4.32 inference(modus_ponens,[status(thm)],[2784, 2783])).
% 4.12/4.32 tff(2786,plain,
% 4.12/4.32 (v942(constB18) | (~v941(constB18))),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2785, 710, 2630])).
% 4.12/4.32 tff(2787,plain,
% 4.12/4.32 (~v941(constB18)),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2786, 2779])).
% 4.12/4.32 tff(2788,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v941(constB18) | v6(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v941(constB18) | v6(constB18, bitIndex1))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2789,plain,
% 4.12/4.32 (((~nextState(constB17, constB18)) | (~v6(constB17, bitIndex1)) | v941(constB18) | v6(constB18, bitIndex1)) <=> ((~v6(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v941(constB18) | v6(constB18, bitIndex1))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2790,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v6(constB17, bitIndex1)) | v941(constB18) | v6(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v941(constB18) | v6(constB18, bitIndex1)))),
% 4.12/4.32 inference(monotonicity,[status(thm)],[2789])).
% 4.12/4.32 tff(2791,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v6(constB17, bitIndex1)) | v941(constB18) | v6(constB18, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v941(constB18) | v6(constB18, bitIndex1))),
% 4.12/4.32 inference(transitivity,[status(thm)],[2790, 2788])).
% 4.12/4.32 tff(2792,plain,
% 4.12/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB17, constB18)) | (~v6(constB17, bitIndex1)) | v941(constB18) | v6(constB18, bitIndex1))),
% 4.12/4.32 inference(quant_inst,[status(thm)],[])).
% 4.12/4.32 tff(2793,plain,
% 4.12/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB17, bitIndex1)) | (~nextState(constB17, constB18)) | v941(constB18) | v6(constB18, bitIndex1)),
% 4.12/4.32 inference(modus_ponens,[status(thm)],[2792, 2791])).
% 4.12/4.32 tff(2794,plain,
% 4.12/4.32 ((~v6(constB17, bitIndex1)) | v941(constB18) | v6(constB18, bitIndex1)),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2793, 728, 2630])).
% 4.12/4.32 tff(2795,plain,
% 4.12/4.32 ((~v6(constB17, bitIndex1)) | v6(constB18, bitIndex1)),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2794, 2787])).
% 4.12/4.32 tff(2796,plain,
% 4.12/4.32 (~v6(constB17, bitIndex1)),
% 4.12/4.32 inference(unit_resolution,[status(thm)],[2795, 2775])).
% 4.12/4.32 tff(2797,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB16) | (~nextState(constB16, constB17)) | (~v929(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB16) | (~nextState(constB16, constB17)) | (~v929(constB17)))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2798,plain,
% 4.12/4.32 (((~nextState(constB16, constB17)) | v1(constB16) | (~v929(constB17))) <=> (v1(constB16) | (~nextState(constB16, constB17)) | (~v929(constB17)))),
% 4.12/4.32 inference(rewrite,[status(thm)],[])).
% 4.12/4.32 tff(2799,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB16, constB17)) | v1(constB16) | (~v929(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB16) | (~nextState(constB16, constB17)) | (~v929(constB17))))),
% 4.12/4.32 inference(monotonicity,[status(thm)],[2798])).
% 4.12/4.32 tff(2800,plain,
% 4.12/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB16, constB17)) | v1(constB16) | (~v929(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB16) | (~nextState(constB16, constB17)) | (~v929(constB17)))),
% 4.12/4.32 inference(transitivity,[status(thm)],[2799, 2797])).
% 4.12/4.32 tff(2801,plain,
% 4.12/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB16, constB17)) | v1(constB16) | (~v929(constB17)))),
% 4.12/4.32 inference(quant_inst,[status(thm)],[])).
% 4.12/4.32 tff(2802,plain,
% 4.12/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB16) | (~nextState(constB16, constB17)) | (~v929(constB17))),
% 4.12/4.32 inference(modus_ponens,[status(thm)],[2801, 2800])).
% 4.12/4.32 tff(2803,plain,
% 4.16/4.32 (~v929(constB17)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2802, 164, 2620, 2617])).
% 4.16/4.32 tff(2804,plain,
% 4.16/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB16, constB17)) | v944(constB17) | v929(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB16, constB17)) | v944(constB17) | v929(constB17))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2805,plain,
% 4.16/4.32 (((~nextState(constB16, constB17)) | v929(constB17) | v944(constB17)) <=> ((~nextState(constB16, constB17)) | v944(constB17) | v929(constB17))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2806,plain,
% 4.16/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB16, constB17)) | v929(constB17) | v944(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB16, constB17)) | v944(constB17) | v929(constB17)))),
% 4.16/4.32 inference(monotonicity,[status(thm)],[2805])).
% 4.16/4.32 tff(2807,plain,
% 4.16/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB16, constB17)) | v929(constB17) | v944(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB16, constB17)) | v944(constB17) | v929(constB17))),
% 4.16/4.32 inference(transitivity,[status(thm)],[2806, 2804])).
% 4.16/4.32 tff(2808,plain,
% 4.16/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB16, constB17)) | v929(constB17) | v944(constB17))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2809,plain,
% 4.16/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB16, constB17)) | v944(constB17) | v929(constB17)),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2808, 2807])).
% 4.16/4.32 tff(2810,plain,
% 4.16/4.32 (v944(constB17) | v929(constB17)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2809, 181, 2620])).
% 4.16/4.32 tff(2811,plain,
% 4.16/4.32 (v944(constB17)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2810, 2803])).
% 4.16/4.32 tff(2812,plain,
% 4.16/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB16, constB17)) | v942(constB17) | (~v1(constB17)) | (~v944(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB16, constB17)) | v942(constB17) | (~v1(constB17)) | (~v944(constB17)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2813,plain,
% 4.16/4.32 (((~nextState(constB16, constB17)) | (~v1(constB17)) | v942(constB17) | (~v944(constB17))) <=> ((~nextState(constB16, constB17)) | v942(constB17) | (~v1(constB17)) | (~v944(constB17)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2814,plain,
% 4.16/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB16, constB17)) | (~v1(constB17)) | v942(constB17) | (~v944(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB16, constB17)) | v942(constB17) | (~v1(constB17)) | (~v944(constB17))))),
% 4.16/4.32 inference(monotonicity,[status(thm)],[2813])).
% 4.16/4.32 tff(2815,plain,
% 4.16/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB16, constB17)) | (~v1(constB17)) | v942(constB17) | (~v944(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB16, constB17)) | v942(constB17) | (~v1(constB17)) | (~v944(constB17)))),
% 4.16/4.32 inference(transitivity,[status(thm)],[2814, 2812])).
% 4.16/4.32 tff(2816,plain,
% 4.16/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB16, constB17)) | (~v1(constB17)) | v942(constB17) | (~v944(constB17)))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2817,plain,
% 4.16/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB16, constB17)) | v942(constB17) | (~v1(constB17)) | (~v944(constB17))),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2816, 2815])).
% 4.16/4.32 tff(2818,plain,
% 4.16/4.32 (v942(constB17) | (~v944(constB17))),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2817, 206, 2620, 2627])).
% 4.16/4.32 tff(2819,plain,
% 4.16/4.32 (v942(constB17)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2818, 2811])).
% 4.16/4.32 tff(2820,plain,
% 4.16/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB16, constB17)) | v941(constB17) | (~v942(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB16, constB17)) | v941(constB17) | (~v942(constB17)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2821,plain,
% 4.16/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB16, constB17)) | v941(constB17) | (~v942(constB17)))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2822,plain,
% 4.16/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB16, constB17)) | v941(constB17) | (~v942(constB17))),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 4.16/4.32 tff(2823,plain,
% 4.16/4.32 (v941(constB17) | (~v942(constB17))),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2822, 224, 2620])).
% 4.16/4.32 tff(2824,plain,
% 4.16/4.32 (v941(constB17)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2823, 2819])).
% 4.16/4.32 tff(2825,plain,
% 4.16/4.32 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB17, bitIndex1) | (~v949(constB17)) | (~v941(constB17)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB17, bitIndex1) | (~v949(constB17)) | (~v941(constB17)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2826,plain,
% 4.16/4.32 ((v6(constB17, bitIndex1) | (~v941(constB17)) | (~v949(constB17))) <=> (v6(constB17, bitIndex1) | (~v949(constB17)) | (~v941(constB17)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2827,plain,
% 4.16/4.32 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB17, bitIndex1) | (~v941(constB17)) | (~v949(constB17)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB17, bitIndex1) | (~v949(constB17)) | (~v941(constB17))))),
% 4.16/4.32 inference(monotonicity,[status(thm)],[2826])).
% 4.16/4.32 tff(2828,plain,
% 4.16/4.32 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB17, bitIndex1) | (~v941(constB17)) | (~v949(constB17)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB17, bitIndex1) | (~v949(constB17)) | (~v941(constB17)))),
% 4.16/4.32 inference(transitivity,[status(thm)],[2827, 2825])).
% 4.16/4.32 tff(2829,plain,
% 4.16/4.32 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB17, bitIndex1) | (~v941(constB17)) | (~v949(constB17)))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2830,plain,
% 4.16/4.32 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB17, bitIndex1) | (~v949(constB17)) | (~v941(constB17))),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2829, 2828])).
% 4.16/4.32 tff(2831,plain,
% 4.16/4.32 (v6(constB17, bitIndex1) | (~v949(constB17))),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2830, 239, 2824])).
% 4.16/4.32 tff(2832,plain,
% 4.16/4.32 (~v949(constB17)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2831, 2796])).
% 4.16/4.32 tff(2833,plain,
% 4.16/4.32 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB16, constB17)) | (~v947(constB16)) | v949(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB16, constB17)) | (~v947(constB16)) | v949(constB17))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2834,plain,
% 4.16/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB16, constB17)) | (~v947(constB16)) | v949(constB17))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2835,plain,
% 4.16/4.32 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB16, constB17)) | (~v947(constB16)) | v949(constB17)),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2834, 2833])).
% 4.16/4.32 tff(2836,plain,
% 4.16/4.32 ((~v947(constB16)) | v949(constB17)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2835, 257, 2620])).
% 4.16/4.32 tff(2837,plain,
% 4.16/4.32 (~v947(constB16)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2836, 2832])).
% 4.16/4.32 tff(2838,assumption,(~v933(constB16)), introduced(assumption)).
% 4.16/4.32 tff(2839,plain,
% 4.16/4.32 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB16) | v933(constB16))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB16) | v933(constB16))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2840,plain,
% 4.16/4.32 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB16) | v933(constB16))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2841,plain,
% 4.16/4.32 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB16) | v933(constB16)),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2840, 2839])).
% 4.16/4.32 tff(2842,plain,
% 4.16/4.32 (v16(constB16)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2841, 382, 2838])).
% 4.16/4.32 tff(2843,assumption,(~v947(constB16)), introduced(assumption)).
% 4.16/4.32 tff(2844,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex1)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2845,plain,
% 4.16/4.32 (((~v16(constB16)) | (~v19(constB16, bitIndex1)) | v947(constB16)) <=> (v947(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex1)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2846,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB16)) | (~v19(constB16, bitIndex1)) | v947(constB16))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex1))))),
% 4.16/4.32 inference(monotonicity,[status(thm)],[2845])).
% 4.16/4.32 tff(2847,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB16)) | (~v19(constB16, bitIndex1)) | v947(constB16))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex1)))),
% 4.16/4.32 inference(transitivity,[status(thm)],[2846, 2844])).
% 4.16/4.32 tff(2848,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB16)) | (~v19(constB16, bitIndex1)) | v947(constB16))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2849,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex1))),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 4.16/4.32 tff(2850,plain,
% 4.16/4.32 ((~v16(constB16)) | (~v19(constB16, bitIndex1))),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2849, 400, 2843])).
% 4.16/4.32 tff(2851,plain,
% 4.16/4.32 (~v19(constB16, bitIndex1)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2850, 2842])).
% 4.16/4.32 tff(2852,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex0)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2853,plain,
% 4.16/4.32 (((~v16(constB16)) | (~v19(constB16, bitIndex0)) | v933(constB16)) <=> (v933(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex0)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2854,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB16)) | (~v19(constB16, bitIndex0)) | v933(constB16))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex0))))),
% 4.16/4.32 inference(monotonicity,[status(thm)],[2853])).
% 4.16/4.32 tff(2855,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB16)) | (~v19(constB16, bitIndex0)) | v933(constB16))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex0)))),
% 4.16/4.32 inference(transitivity,[status(thm)],[2854, 2852])).
% 4.16/4.32 tff(2856,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB16)) | (~v19(constB16, bitIndex0)) | v933(constB16))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2857,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB16) | (~v16(constB16)) | (~v19(constB16, bitIndex0))),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2856, 2855])).
% 4.16/4.32 tff(2858,plain,
% 4.16/4.32 ((~v16(constB16)) | (~v19(constB16, bitIndex0))),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2857, 364, 2838])).
% 4.16/4.32 tff(2859,plain,
% 4.16/4.32 (~v19(constB16, bitIndex0)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2858, 2842])).
% 4.16/4.32 tff(2860,assumption,(~v19(constB16, bitIndex0)), introduced(assumption)).
% 4.16/4.32 tff(2861,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB16)) | v19(constB16, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB16)) | v19(constB16, bitIndex0))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2862,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB16)) | v19(constB16, bitIndex0))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2863,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB16)) | v19(constB16, bitIndex0)),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2862, 2861])).
% 4.16/4.32 tff(2864,plain,
% 4.16/4.32 (~v911(constB16)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2863, 416, 2860])).
% 4.16/4.32 tff(2865,assumption,(~v19(constB16, bitIndex1)), introduced(assumption)).
% 4.16/4.32 tff(2866,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB16)) | v19(constB16, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB16)) | v19(constB16, bitIndex1))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2867,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB16)) | v19(constB16, bitIndex1))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2868,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB16)) | v19(constB16, bitIndex1)),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2867, 2866])).
% 4.16/4.32 tff(2869,plain,
% 4.16/4.32 (~v918(constB16)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2868, 539, 2865])).
% 4.16/4.32 tff(2870,assumption,(~v918(constB16)), introduced(assumption)).
% 4.16/4.32 tff(2871,assumption,(v6(constB16, bitIndex0)), introduced(assumption)).
% 4.16/4.32 tff(2872,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex1)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2873,plain,
% 4.16/4.32 (((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex1)) | v918(constB16)) <=> ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex1)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2874,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex1)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex1))))),
% 4.16/4.32 inference(monotonicity,[status(thm)],[2873])).
% 4.16/4.32 tff(2875,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex1)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex1)))),
% 4.16/4.32 inference(transitivity,[status(thm)],[2874, 2872])).
% 4.16/4.32 tff(2876,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex1)) | v918(constB16))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2877,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex1))),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2876, 2875])).
% 4.16/4.32 tff(2878,plain,
% 4.16/4.32 (v918(constB16) | (~v25(constB16, bitIndex1))),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2877, 431, 2871])).
% 4.16/4.32 tff(2879,plain,
% 4.16/4.32 (~v25(constB16, bitIndex1)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2878, 2870])).
% 4.16/4.32 tff(2880,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex0)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2881,plain,
% 4.16/4.32 (((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex0)) | v918(constB16)) <=> ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex0)))),
% 4.16/4.32 inference(rewrite,[status(thm)],[])).
% 4.16/4.32 tff(2882,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex0)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex0))))),
% 4.16/4.32 inference(monotonicity,[status(thm)],[2881])).
% 4.16/4.32 tff(2883,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex0)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex0)))),
% 4.16/4.32 inference(transitivity,[status(thm)],[2882, 2880])).
% 4.16/4.32 tff(2884,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex0)) | v918(constB16))),
% 4.16/4.32 inference(quant_inst,[status(thm)],[])).
% 4.16/4.32 tff(2885,plain,
% 4.16/4.32 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex0))),
% 4.16/4.32 inference(modus_ponens,[status(thm)],[2884, 2883])).
% 4.16/4.32 tff(2886,plain,
% 4.16/4.32 (v918(constB16) | (~v25(constB16, bitIndex0))),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2885, 449, 2871])).
% 4.16/4.32 tff(2887,plain,
% 4.16/4.32 (~v25(constB16, bitIndex0)),
% 4.16/4.32 inference(unit_resolution,[status(thm)],[2886, 2870])).
% 4.16/4.32 tff(2888,plain,
% 4.16/4.32 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex2)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2889,plain,
% 4.16/4.33 (((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex2)) | v918(constB16)) <=> ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex2)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2890,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex2)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex2))))),
% 4.16/4.33 inference(monotonicity,[status(thm)],[2889])).
% 4.16/4.33 tff(2891,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex2)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex2)))),
% 4.16/4.33 inference(transitivity,[status(thm)],[2890, 2888])).
% 4.16/4.33 tff(2892,plain,
% 4.16/4.33 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex2)) | v918(constB16))),
% 4.16/4.33 inference(quant_inst,[status(thm)],[])).
% 4.16/4.33 tff(2893,plain,
% 4.16/4.33 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex2))),
% 4.16/4.33 inference(modus_ponens,[status(thm)],[2892, 2891])).
% 4.16/4.33 tff(2894,plain,
% 4.16/4.33 (v918(constB16) | (~v25(constB16, bitIndex2))),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2893, 467, 2871])).
% 4.16/4.33 tff(2895,plain,
% 4.16/4.33 (~v25(constB16, bitIndex2)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2894, 2870])).
% 4.16/4.33 tff(2896,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex4)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2897,plain,
% 4.16/4.33 (((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex4)) | v918(constB16)) <=> ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex4)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2898,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex4)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex4))))),
% 4.16/4.33 inference(monotonicity,[status(thm)],[2897])).
% 4.16/4.33 tff(2899,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex4)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex4)))),
% 4.16/4.33 inference(transitivity,[status(thm)],[2898, 2896])).
% 4.16/4.33 tff(2900,plain,
% 4.16/4.33 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex4)) | v918(constB16))),
% 4.16/4.33 inference(quant_inst,[status(thm)],[])).
% 4.16/4.33 tff(2901,plain,
% 4.16/4.33 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex4))),
% 4.16/4.33 inference(modus_ponens,[status(thm)],[2900, 2899])).
% 4.16/4.33 tff(2902,plain,
% 4.16/4.33 (v918(constB16) | (~v25(constB16, bitIndex4))),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2901, 485, 2871])).
% 4.16/4.33 tff(2903,plain,
% 4.16/4.33 (~v25(constB16, bitIndex4)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2902, 2870])).
% 4.16/4.33 tff(2904,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex3)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2905,plain,
% 4.16/4.33 (((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex3)) | v918(constB16)) <=> ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex3)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2906,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex3)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex3))))),
% 4.16/4.33 inference(monotonicity,[status(thm)],[2905])).
% 4.16/4.33 tff(2907,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex3)) | v918(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex3)))),
% 4.16/4.33 inference(transitivity,[status(thm)],[2906, 2904])).
% 4.16/4.33 tff(2908,plain,
% 4.16/4.33 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB16, bitIndex0)) | (~v25(constB16, bitIndex3)) | v918(constB16))),
% 4.16/4.33 inference(quant_inst,[status(thm)],[])).
% 4.16/4.33 tff(2909,plain,
% 4.16/4.33 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB16, bitIndex0)) | v918(constB16) | (~v25(constB16, bitIndex3))),
% 4.16/4.33 inference(modus_ponens,[status(thm)],[2908, 2907])).
% 4.16/4.33 tff(2910,plain,
% 4.16/4.33 (v918(constB16) | (~v25(constB16, bitIndex3))),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2909, 503, 2871])).
% 4.16/4.33 tff(2911,plain,
% 4.16/4.33 (~v25(constB16, bitIndex3)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2910, 2870])).
% 4.16/4.33 tff(2912,assumption,(~v911(constB16)), introduced(assumption)).
% 4.16/4.33 tff(2913,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB16, bitIndex0)) | v911(constB16) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB16, bitIndex0)) | v911(constB16) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2914,plain,
% 4.16/4.33 (((~v6(constB16, bitIndex0)) | v25(constB16, bitIndex1) | v25(constB16, bitIndex0) | v25(constB16, bitIndex2) | v25(constB16, bitIndex3) | v25(constB16, bitIndex4) | v911(constB16)) <=> ((~v6(constB16, bitIndex0)) | v911(constB16) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2915,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB16, bitIndex0)) | v25(constB16, bitIndex1) | v25(constB16, bitIndex0) | v25(constB16, bitIndex2) | v25(constB16, bitIndex3) | v25(constB16, bitIndex4) | v911(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB16, bitIndex0)) | v911(constB16) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1)))),
% 4.16/4.33 inference(monotonicity,[status(thm)],[2914])).
% 4.16/4.33 tff(2916,plain,
% 4.16/4.33 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB16, bitIndex0)) | v25(constB16, bitIndex1) | v25(constB16, bitIndex0) | v25(constB16, bitIndex2) | v25(constB16, bitIndex3) | v25(constB16, bitIndex4) | v911(constB16))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB16, bitIndex0)) | v911(constB16) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1))),
% 4.16/4.33 inference(transitivity,[status(thm)],[2915, 2913])).
% 4.16/4.33 tff(2917,plain,
% 4.16/4.33 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB16, bitIndex0)) | v25(constB16, bitIndex1) | v25(constB16, bitIndex0) | v25(constB16, bitIndex2) | v25(constB16, bitIndex3) | v25(constB16, bitIndex4) | v911(constB16))),
% 4.16/4.33 inference(quant_inst,[status(thm)],[])).
% 4.16/4.33 tff(2918,plain,
% 4.16/4.33 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB16, bitIndex0)) | v911(constB16) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1)),
% 4.16/4.33 inference(modus_ponens,[status(thm)],[2917, 2916])).
% 4.16/4.33 tff(2919,plain,
% 4.16/4.33 ((~v6(constB16, bitIndex0)) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2918, 522, 2912])).
% 4.16/4.33 tff(2920,plain,
% 4.16/4.33 ($false),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2919, 2911, 2903, 2871, 2895, 2887, 2879])).
% 4.16/4.33 tff(2921,plain,(v918(constB16) | (~v6(constB16, bitIndex0)) | v911(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.16/4.33 tff(2922,plain,
% 4.16/4.33 (~v6(constB16, bitIndex0)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2921, 2869, 2864])).
% 4.16/4.33 tff(2923,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB15, constB16)) | v1(constB16) | (~v926(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB15, constB16)) | v1(constB16) | (~v926(constB16)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2924,plain,
% 4.16/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB15, constB16)) | v1(constB16) | (~v926(constB16)))),
% 4.16/4.33 inference(quant_inst,[status(thm)],[])).
% 4.16/4.33 tff(2925,plain,
% 4.16/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB15, constB16)) | v1(constB16) | (~v926(constB16))),
% 4.16/4.33 inference(modus_ponens,[status(thm)],[2924, 2923])).
% 4.16/4.33 tff(2926,plain,
% 4.16/4.33 (~v926(constB16)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2925, 555, 2610, 2617])).
% 4.16/4.33 tff(2927,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB15, constB16)) | v926(constB16) | (~v925(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB15, constB16)) | v926(constB16) | (~v925(constB16)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2928,plain,
% 4.16/4.33 (((~nextState(constB15, constB16)) | (~v925(constB16)) | v926(constB16)) <=> ((~nextState(constB15, constB16)) | v926(constB16) | (~v925(constB16)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2929,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB15, constB16)) | (~v925(constB16)) | v926(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB15, constB16)) | v926(constB16) | (~v925(constB16))))),
% 4.16/4.33 inference(monotonicity,[status(thm)],[2928])).
% 4.16/4.33 tff(2930,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB15, constB16)) | (~v925(constB16)) | v926(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB15, constB16)) | v926(constB16) | (~v925(constB16)))),
% 4.16/4.33 inference(transitivity,[status(thm)],[2929, 2927])).
% 4.16/4.33 tff(2931,plain,
% 4.16/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB15, constB16)) | (~v925(constB16)) | v926(constB16))),
% 4.16/4.33 inference(quant_inst,[status(thm)],[])).
% 4.16/4.33 tff(2932,plain,
% 4.16/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB15, constB16)) | v926(constB16) | (~v925(constB16))),
% 4.16/4.33 inference(modus_ponens,[status(thm)],[2931, 2930])).
% 4.16/4.33 tff(2933,plain,
% 4.16/4.33 (v926(constB16) | (~v925(constB16))),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2932, 569, 2610])).
% 4.16/4.33 tff(2934,plain,
% 4.16/4.33 (~v925(constB16)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2933, 2926])).
% 4.16/4.33 tff(2935,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB15, bitIndex0)) | (~nextState(constB15, constB16)) | v925(constB16) | v6(constB16, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB15, bitIndex0)) | (~nextState(constB15, constB16)) | v925(constB16) | v6(constB16, bitIndex0))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2936,plain,
% 4.16/4.33 (((~nextState(constB15, constB16)) | (~v6(constB15, bitIndex0)) | v925(constB16) | v6(constB16, bitIndex0)) <=> ((~v6(constB15, bitIndex0)) | (~nextState(constB15, constB16)) | v925(constB16) | v6(constB16, bitIndex0))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2937,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v6(constB15, bitIndex0)) | v925(constB16) | v6(constB16, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB15, bitIndex0)) | (~nextState(constB15, constB16)) | v925(constB16) | v6(constB16, bitIndex0)))),
% 4.16/4.33 inference(monotonicity,[status(thm)],[2936])).
% 4.16/4.33 tff(2938,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v6(constB15, bitIndex0)) | v925(constB16) | v6(constB16, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB15, bitIndex0)) | (~nextState(constB15, constB16)) | v925(constB16) | v6(constB16, bitIndex0))),
% 4.16/4.33 inference(transitivity,[status(thm)],[2937, 2935])).
% 4.16/4.33 tff(2939,plain,
% 4.16/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB15, constB16)) | (~v6(constB15, bitIndex0)) | v925(constB16) | v6(constB16, bitIndex0))),
% 4.16/4.33 inference(quant_inst,[status(thm)],[])).
% 4.16/4.33 tff(2940,plain,
% 4.16/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB15, bitIndex0)) | (~nextState(constB15, constB16)) | v925(constB16) | v6(constB16, bitIndex0)),
% 4.16/4.33 inference(modus_ponens,[status(thm)],[2939, 2938])).
% 4.16/4.33 tff(2941,plain,
% 4.16/4.33 ((~v6(constB15, bitIndex0)) | v925(constB16) | v6(constB16, bitIndex0)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2940, 587, 2610])).
% 4.16/4.33 tff(2942,plain,
% 4.16/4.33 ((~v6(constB15, bitIndex0)) | v6(constB16, bitIndex0)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2941, 2934])).
% 4.16/4.33 tff(2943,plain,
% 4.16/4.33 (~v6(constB15, bitIndex0)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2942, 2922])).
% 4.16/4.33 tff(2944,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB14) | (~nextState(constB14, constB15)) | (~v929(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB14) | (~nextState(constB14, constB15)) | (~v929(constB15)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2945,plain,
% 4.16/4.33 (((~nextState(constB14, constB15)) | v1(constB14) | (~v929(constB15))) <=> (v1(constB14) | (~nextState(constB14, constB15)) | (~v929(constB15)))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2946,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB14, constB15)) | v1(constB14) | (~v929(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | (v1(constB14) | (~nextState(constB14, constB15)) | (~v929(constB15))))),
% 4.16/4.33 inference(monotonicity,[status(thm)],[2945])).
% 4.16/4.33 tff(2947,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB14, constB15)) | v1(constB14) | (~v929(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB14) | (~nextState(constB14, constB15)) | (~v929(constB15)))),
% 4.16/4.33 inference(transitivity,[status(thm)],[2946, 2944])).
% 4.16/4.33 tff(2948,plain,
% 4.16/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | ((~nextState(constB14, constB15)) | v1(constB14) | (~v929(constB15)))),
% 4.16/4.33 inference(quant_inst,[status(thm)],[])).
% 4.16/4.33 tff(2949,plain,
% 4.16/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v929(VarNext)))) | v1(constB14) | (~nextState(constB14, constB15)) | (~v929(constB15))),
% 4.16/4.33 inference(modus_ponens,[status(thm)],[2948, 2947])).
% 4.16/4.33 tff(2950,plain,
% 4.16/4.33 (~v929(constB15)),
% 4.16/4.33 inference(unit_resolution,[status(thm)],[2949, 164, 2600, 2376])).
% 4.16/4.33 tff(2951,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB14, constB15)) | v929(constB15) | v927(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB14, constB15)) | v929(constB15) | v927(constB15))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2952,plain,
% 4.16/4.33 (((~nextState(constB14, constB15)) | v927(constB15) | v929(constB15)) <=> ((~nextState(constB14, constB15)) | v929(constB15) | v927(constB15))),
% 4.16/4.33 inference(rewrite,[status(thm)],[])).
% 4.16/4.33 tff(2953,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB14, constB15)) | v927(constB15) | v929(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB14, constB15)) | v929(constB15) | v927(constB15)))),
% 4.16/4.33 inference(monotonicity,[status(thm)],[2952])).
% 4.16/4.33 tff(2954,plain,
% 4.16/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB14, constB15)) | v927(constB15) | v929(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB14, constB15)) | v929(constB15) | v927(constB15))),
% 4.17/4.33 inference(transitivity,[status(thm)],[2953, 2951])).
% 4.17/4.33 tff(2955,plain,
% 4.17/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB14, constB15)) | v927(constB15) | v929(constB15))),
% 4.17/4.33 inference(quant_inst,[status(thm)],[])).
% 4.17/4.33 tff(2956,plain,
% 4.17/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB14, constB15)) | v929(constB15) | v927(constB15)),
% 4.17/4.33 inference(modus_ponens,[status(thm)],[2955, 2954])).
% 4.17/4.33 tff(2957,plain,
% 4.17/4.33 (v929(constB15) | v927(constB15)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2956, 281, 2600])).
% 4.17/4.33 tff(2958,plain,
% 4.17/4.33 (v927(constB15)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2957, 2950])).
% 4.17/4.33 tff(2959,plain,
% 4.17/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB14, constB15)) | (~v1(constB15)) | v926(constB15) | (~v927(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB14, constB15)) | (~v1(constB15)) | v926(constB15) | (~v927(constB15)))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(2960,plain,
% 4.17/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB14, constB15)) | (~v1(constB15)) | v926(constB15) | (~v927(constB15)))),
% 4.17/4.33 inference(quant_inst,[status(thm)],[])).
% 4.17/4.33 tff(2961,plain,
% 4.17/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB14, constB15)) | (~v1(constB15)) | v926(constB15) | (~v927(constB15))),
% 4.17/4.33 inference(modus_ponens,[status(thm)],[2960, 2959])).
% 4.17/4.33 tff(2962,plain,
% 4.17/4.33 (v926(constB15) | (~v927(constB15))),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2961, 299, 2600, 2607])).
% 4.17/4.33 tff(2963,plain,
% 4.17/4.33 (v926(constB15)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2962, 2958])).
% 4.17/4.33 tff(2964,plain,
% 4.17/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB14, constB15)) | v925(constB15) | (~v926(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB14, constB15)) | v925(constB15) | (~v926(constB15)))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(2965,plain,
% 4.17/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB14, constB15)) | v925(constB15) | (~v926(constB15)))),
% 4.17/4.33 inference(quant_inst,[status(thm)],[])).
% 4.17/4.33 tff(2966,plain,
% 4.17/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB14, constB15)) | v925(constB15) | (~v926(constB15))),
% 4.17/4.33 inference(modus_ponens,[status(thm)],[2965, 2964])).
% 4.17/4.33 tff(2967,plain,
% 4.17/4.33 (v925(constB15) | (~v926(constB15))),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2966, 314, 2600])).
% 4.17/4.33 tff(2968,plain,
% 4.17/4.33 (v925(constB15)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2967, 2963])).
% 4.17/4.33 tff(2969,plain,
% 4.17/4.33 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB15, bitIndex0) | (~v935(constB15)) | (~v925(constB15)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB15, bitIndex0) | (~v935(constB15)) | (~v925(constB15)))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(2970,plain,
% 4.17/4.33 ((v6(constB15, bitIndex0) | (~v925(constB15)) | (~v935(constB15))) <=> (v6(constB15, bitIndex0) | (~v935(constB15)) | (~v925(constB15)))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(2971,plain,
% 4.17/4.33 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB15, bitIndex0) | (~v925(constB15)) | (~v935(constB15)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB15, bitIndex0) | (~v935(constB15)) | (~v925(constB15))))),
% 4.17/4.33 inference(monotonicity,[status(thm)],[2970])).
% 4.17/4.33 tff(2972,plain,
% 4.17/4.33 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB15, bitIndex0) | (~v925(constB15)) | (~v935(constB15)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB15, bitIndex0) | (~v935(constB15)) | (~v925(constB15)))),
% 4.17/4.33 inference(transitivity,[status(thm)],[2971, 2969])).
% 4.17/4.33 tff(2973,plain,
% 4.17/4.33 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB15, bitIndex0) | (~v925(constB15)) | (~v935(constB15)))),
% 4.17/4.33 inference(quant_inst,[status(thm)],[])).
% 4.17/4.33 tff(2974,plain,
% 4.17/4.33 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB15, bitIndex0) | (~v935(constB15)) | (~v925(constB15))),
% 4.17/4.33 inference(modus_ponens,[status(thm)],[2973, 2972])).
% 4.17/4.33 tff(2975,plain,
% 4.17/4.33 (v6(constB15, bitIndex0) | (~v935(constB15))),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2974, 329, 2968])).
% 4.17/4.33 tff(2976,plain,
% 4.17/4.33 (~v935(constB15)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2975, 2943])).
% 4.17/4.33 tff(2977,plain,
% 4.17/4.33 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB14, constB15)) | (~v933(constB14)) | v935(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB14, constB15)) | (~v933(constB14)) | v935(constB15))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(2978,plain,
% 4.17/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB14, constB15)) | (~v933(constB14)) | v935(constB15))),
% 4.17/4.33 inference(quant_inst,[status(thm)],[])).
% 4.17/4.33 tff(2979,plain,
% 4.17/4.33 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB14, constB15)) | (~v933(constB14)) | v935(constB15)),
% 4.17/4.33 inference(modus_ponens,[status(thm)],[2978, 2977])).
% 4.17/4.33 tff(2980,plain,
% 4.17/4.33 ((~v933(constB14)) | v935(constB15)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2979, 347, 2600])).
% 4.17/4.33 tff(2981,plain,
% 4.17/4.33 (~v933(constB14)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2980, 2976])).
% 4.17/4.33 tff(2982,assumption,(~v933(constB14)), introduced(assumption)).
% 4.17/4.33 tff(2983,plain,
% 4.17/4.33 (((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB14) | v933(constB14))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB14) | v933(constB14))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(2984,plain,
% 4.17/4.33 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | (v16(constB14) | v933(constB14))),
% 4.17/4.33 inference(quant_inst,[status(thm)],[])).
% 4.17/4.33 tff(2985,plain,
% 4.17/4.33 ((~![VarCurr: $i] : (v16(VarCurr) | v933(VarCurr))) | v16(constB14) | v933(constB14)),
% 4.17/4.33 inference(modus_ponens,[status(thm)],[2984, 2983])).
% 4.17/4.33 tff(2986,plain,
% 4.17/4.33 (v16(constB14)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2985, 382, 2982])).
% 4.17/4.33 tff(2987,plain,
% 4.17/4.33 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex0)))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(2988,plain,
% 4.17/4.33 (((~v16(constB14)) | (~v19(constB14, bitIndex0)) | v933(constB14)) <=> (v933(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex0)))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(2989,plain,
% 4.17/4.33 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB14)) | (~v19(constB14, bitIndex0)) | v933(constB14))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | (v933(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex0))))),
% 4.17/4.33 inference(monotonicity,[status(thm)],[2988])).
% 4.17/4.33 tff(2990,plain,
% 4.17/4.33 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB14)) | (~v19(constB14, bitIndex0)) | v933(constB14))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex0)))),
% 4.17/4.33 inference(transitivity,[status(thm)],[2989, 2987])).
% 4.17/4.33 tff(2991,plain,
% 4.17/4.33 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | ((~v16(constB14)) | (~v19(constB14, bitIndex0)) | v933(constB14))),
% 4.17/4.33 inference(quant_inst,[status(thm)],[])).
% 4.17/4.33 tff(2992,plain,
% 4.17/4.33 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex0)) | v933(VarCurr))) | v933(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex0))),
% 4.17/4.33 inference(modus_ponens,[status(thm)],[2991, 2990])).
% 4.17/4.33 tff(2993,plain,
% 4.17/4.33 ((~v16(constB14)) | (~v19(constB14, bitIndex0))),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2992, 364, 2982])).
% 4.17/4.33 tff(2994,plain,
% 4.17/4.33 (~v19(constB14, bitIndex0)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2993, 2986])).
% 4.17/4.33 tff(2995,plain,
% 4.17/4.33 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB14)) | v19(constB14, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB14)) | v19(constB14, bitIndex0))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(2996,plain,
% 4.17/4.33 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB14)) | v19(constB14, bitIndex0))),
% 4.17/4.33 inference(quant_inst,[status(thm)],[])).
% 4.17/4.33 tff(2997,plain,
% 4.17/4.33 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB14)) | v19(constB14, bitIndex0)),
% 4.17/4.33 inference(modus_ponens,[status(thm)],[2996, 2995])).
% 4.17/4.33 tff(2998,plain,
% 4.17/4.33 (~v911(constB14)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[2997, 416, 2994])).
% 4.17/4.33 tff(2999,assumption,(~v947(constB14)), introduced(assumption)).
% 4.17/4.33 tff(3000,plain,
% 4.17/4.33 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex1)))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(3001,plain,
% 4.17/4.33 (((~v16(constB14)) | (~v19(constB14, bitIndex1)) | v947(constB14)) <=> (v947(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex1)))),
% 4.17/4.33 inference(rewrite,[status(thm)],[])).
% 4.17/4.33 tff(3002,plain,
% 4.17/4.33 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB14)) | (~v19(constB14, bitIndex1)) | v947(constB14))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | (v947(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex1))))),
% 4.17/4.33 inference(monotonicity,[status(thm)],[3001])).
% 4.17/4.33 tff(3003,plain,
% 4.17/4.33 (((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB14)) | (~v19(constB14, bitIndex1)) | v947(constB14))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex1)))),
% 4.17/4.33 inference(transitivity,[status(thm)],[3002, 3000])).
% 4.17/4.33 tff(3004,plain,
% 4.17/4.33 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | ((~v16(constB14)) | (~v19(constB14, bitIndex1)) | v947(constB14))),
% 4.17/4.33 inference(quant_inst,[status(thm)],[])).
% 4.17/4.33 tff(3005,plain,
% 4.17/4.33 ((~![VarCurr: $i] : ((~v16(VarCurr)) | (~v19(VarCurr, bitIndex1)) | v947(VarCurr))) | v947(constB14) | (~v16(constB14)) | (~v19(constB14, bitIndex1))),
% 4.17/4.33 inference(modus_ponens,[status(thm)],[3004, 3003])).
% 4.17/4.33 tff(3006,plain,
% 4.17/4.33 ((~v16(constB14)) | (~v19(constB14, bitIndex1))),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[3005, 400, 2999])).
% 4.17/4.33 tff(3007,plain,
% 4.17/4.33 (~v19(constB14, bitIndex1)),
% 4.17/4.33 inference(unit_resolution,[status(thm)],[3006, 2986])).
% 4.17/4.33 tff(3008,plain,
% 4.17/4.33 (((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB14)) | v19(constB14, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB14)) | v19(constB14, bitIndex1))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3009,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | ((~v918(constB14)) | v19(constB14, bitIndex1))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3010,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v918(VarCurr)) | v19(VarCurr, bitIndex1))) | (~v918(constB14)) | v19(constB14, bitIndex1)),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3009, 3008])).
% 4.17/4.34 tff(3011,plain,
% 4.17/4.34 (~v918(constB14)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3010, 539, 3007])).
% 4.17/4.34 tff(3012,assumption,(~v918(constB14)), introduced(assumption)).
% 4.17/4.34 tff(3013,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex4)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3014,plain,
% 4.17/4.34 (((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex4)) | v918(constB14)) <=> ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex4)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3015,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex4)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex4))))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3014])).
% 4.17/4.34 tff(3016,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex4)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex4)))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3015, 3013])).
% 4.17/4.34 tff(3017,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex4)) | v918(constB14))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3018,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex4))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3017, 3016])).
% 4.17/4.34 tff(3019,plain,
% 4.17/4.34 (v918(constB14) | (~v25(constB14, bitIndex4))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3018, 485, 2443])).
% 4.17/4.34 tff(3020,plain,
% 4.17/4.34 (~v25(constB14, bitIndex4)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3019, 3012])).
% 4.17/4.34 tff(3021,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex3)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3022,plain,
% 4.17/4.34 (((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex3)) | v918(constB14)) <=> ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex3)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3023,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex3)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex3))))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3022])).
% 4.17/4.34 tff(3024,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex3)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex3)))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3023, 3021])).
% 4.17/4.34 tff(3025,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex3)) | v918(constB14))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3026,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex3))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3025, 3024])).
% 4.17/4.34 tff(3027,plain,
% 4.17/4.34 (v918(constB14) | (~v25(constB14, bitIndex3))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3026, 503, 2443])).
% 4.17/4.34 tff(3028,plain,
% 4.17/4.34 (~v25(constB14, bitIndex3)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3027, 3012])).
% 4.17/4.34 tff(3029,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex2)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3030,plain,
% 4.17/4.34 (((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex2)) | v918(constB14)) <=> ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex2)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3031,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex2)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex2))))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3030])).
% 4.17/4.34 tff(3032,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex2)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex2)))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3031, 3029])).
% 4.17/4.34 tff(3033,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex2)) | v918(constB14))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3034,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex2))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3033, 3032])).
% 4.17/4.34 tff(3035,plain,
% 4.17/4.34 (v918(constB14) | (~v25(constB14, bitIndex2))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3034, 467, 2443])).
% 4.17/4.34 tff(3036,plain,
% 4.17/4.34 (~v25(constB14, bitIndex2)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3035, 3012])).
% 4.17/4.34 tff(3037,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex0)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3038,plain,
% 4.17/4.34 (((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex0)) | v918(constB14)) <=> ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex0)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3039,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex0)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex0))))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3038])).
% 4.17/4.34 tff(3040,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex0)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex0)))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3039, 3037])).
% 4.17/4.34 tff(3041,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex0)) | v918(constB14))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3042,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex0))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3041, 3040])).
% 4.17/4.34 tff(3043,plain,
% 4.17/4.34 (v918(constB14) | (~v25(constB14, bitIndex0))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3042, 449, 2443])).
% 4.17/4.34 tff(3044,plain,
% 4.17/4.34 (~v25(constB14, bitIndex0)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3043, 3012])).
% 4.17/4.34 tff(3045,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex1)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3046,plain,
% 4.17/4.34 (((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex1)) | v918(constB14)) <=> ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex1)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3047,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex1)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex1))))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3046])).
% 4.17/4.34 tff(3048,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex1)) | v918(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex1)))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3047, 3045])).
% 4.17/4.34 tff(3049,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB14, bitIndex0)) | (~v25(constB14, bitIndex1)) | v918(constB14))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3050,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB14, bitIndex0)) | v918(constB14) | (~v25(constB14, bitIndex1))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3049, 3048])).
% 4.17/4.34 tff(3051,plain,
% 4.17/4.34 (v918(constB14) | (~v25(constB14, bitIndex1))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3050, 431, 2443])).
% 4.17/4.34 tff(3052,plain,
% 4.17/4.34 (~v25(constB14, bitIndex1)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3051, 3012])).
% 4.17/4.34 tff(3053,assumption,(~v911(constB14)), introduced(assumption)).
% 4.17/4.34 tff(3054,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB14, bitIndex0)) | v911(constB14) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB14, bitIndex0)) | v911(constB14) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3055,plain,
% 4.17/4.34 (((~v6(constB14, bitIndex0)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4) | v911(constB14)) <=> ((~v6(constB14, bitIndex0)) | v911(constB14) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3056,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB14, bitIndex0)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4) | v911(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB14, bitIndex0)) | v911(constB14) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4)))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3055])).
% 4.17/4.34 tff(3057,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB14, bitIndex0)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4) | v911(constB14))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB14, bitIndex0)) | v911(constB14) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3056, 3054])).
% 4.17/4.34 tff(3058,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB14, bitIndex0)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4) | v911(constB14))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3059,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB14, bitIndex0)) | v911(constB14) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4)),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 4.17/4.34 tff(3060,plain,
% 4.17/4.34 ((~v6(constB14, bitIndex0)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3059, 522, 3053])).
% 4.17/4.34 tff(3061,plain,
% 4.17/4.34 ($false),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3060, 3052, 3044, 2443, 3036, 3028, 3020])).
% 4.17/4.34 tff(3062,plain,(v918(constB14) | (~v6(constB14, bitIndex0)) | v911(constB14)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.34 tff(3063,plain,
% 4.17/4.34 (~v6(constB14, bitIndex0)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3062, 3011, 2998])).
% 4.17/4.34 tff(3064,plain,
% 4.17/4.34 (~v6(constB13, bitIndex0)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2466, 3063])).
% 4.17/4.34 tff(3065,plain,
% 4.17/4.34 (~v935(constB13)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2492, 3064])).
% 4.17/4.34 tff(3066,plain,
% 4.17/4.34 (~v933(constB12)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2497, 3065])).
% 4.17/4.34 tff(3067,plain,
% 4.17/4.34 (v16(constB12)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2511, 382, 3066])).
% 4.17/4.34 tff(3068,plain,
% 4.17/4.34 ((~v16(constB12)) | (~v19(constB12, bitIndex0))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2506, 364, 3066])).
% 4.17/4.34 tff(3069,plain,
% 4.17/4.34 (~v19(constB12, bitIndex0)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3068, 3067])).
% 4.17/4.34 tff(3070,plain,
% 4.17/4.34 (~v911(constB12)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2517, 416, 3069])).
% 4.17/4.34 tff(3071,plain,
% 4.17/4.34 (v918(constB12)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2583, 3070, 2182])).
% 4.17/4.34 tff(3072,plain,
% 4.17/4.34 (v19(constB12, bitIndex1)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2531, 539, 3071])).
% 4.17/4.34 tff(3073,plain,
% 4.17/4.34 (v947(constB12) | (~v19(constB12, bitIndex1))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2526, 400, 3067])).
% 4.17/4.34 tff(3074,plain,
% 4.17/4.34 (v947(constB12)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3073, 3072])).
% 4.17/4.34 tff(3075,plain,
% 4.17/4.34 (v949(constB13)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2437, 3074])).
% 4.17/4.34 tff(3076,plain,
% 4.17/4.34 (v6(constB13, bitIndex1)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2432, 3075])).
% 4.17/4.34 tff(3077,plain,
% 4.17/4.34 (v6(constB14, bitIndex1)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[2396, 3076])).
% 4.17/4.34 tff(3078,plain,
% 4.17/4.34 (((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB14) | (~v6(constB14, bitIndex1)) | v19(constB14, bitIndex1))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB14) | (~v6(constB14, bitIndex1)) | v19(constB14, bitIndex1))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3079,plain,
% 4.17/4.34 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB14) | (~v6(constB14, bitIndex1)) | v19(constB14, bitIndex1))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3080,plain,
% 4.17/4.34 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB14) | (~v6(constB14, bitIndex1)) | v19(constB14, bitIndex1)),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3079, 3078])).
% 4.17/4.34 tff(3081,plain,
% 4.17/4.34 (v702(constB14) | (~v6(constB14, bitIndex1))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3080, 679, 3007])).
% 4.17/4.34 tff(3082,plain,
% 4.17/4.34 (v702(constB14)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3081, 3077])).
% 4.17/4.34 tff(3083,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB14, bitIndex1)) | v19(constB14, bitIndex0) | (~v702(constB14)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB14, bitIndex1)) | v19(constB14, bitIndex0) | (~v702(constB14)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3084,plain,
% 4.17/4.34 (((~v6(constB14, bitIndex1)) | (~v702(constB14)) | v19(constB14, bitIndex0)) <=> ((~v6(constB14, bitIndex1)) | v19(constB14, bitIndex0) | (~v702(constB14)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3085,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB14, bitIndex1)) | (~v702(constB14)) | v19(constB14, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB14, bitIndex1)) | v19(constB14, bitIndex0) | (~v702(constB14))))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3084])).
% 4.17/4.34 tff(3086,plain,
% 4.17/4.34 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB14, bitIndex1)) | (~v702(constB14)) | v19(constB14, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB14, bitIndex1)) | v19(constB14, bitIndex0) | (~v702(constB14)))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3085, 3083])).
% 4.17/4.34 tff(3087,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB14, bitIndex1)) | (~v702(constB14)) | v19(constB14, bitIndex0))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3088,plain,
% 4.17/4.34 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB14, bitIndex1)) | v19(constB14, bitIndex0) | (~v702(constB14))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3087, 3086])).
% 4.17/4.34 tff(3089,plain,
% 4.17/4.34 ((~v6(constB14, bitIndex1)) | (~v702(constB14))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3088, 663, 2994])).
% 4.17/4.34 tff(3090,plain,
% 4.17/4.34 ($false),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3089, 3082, 3077])).
% 4.17/4.34 tff(3091,plain,(v933(constB14) | (~v6(constB12, bitIndex0)) | v947(constB14)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.34 tff(3092,plain,
% 4.17/4.34 (v947(constB14)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3091, 2981, 2182])).
% 4.17/4.34 tff(3093,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB14, constB15)) | (~v947(constB14)) | v949(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB14, constB15)) | (~v947(constB14)) | v949(constB15))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3094,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | ((~nextState(constB14, constB15)) | (~v947(constB14)) | v949(constB15))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3095,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v947(VarCurr)) | v949(VarNext))) | (~nextState(constB14, constB15)) | (~v947(constB14)) | v949(constB15)),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3094, 3093])).
% 4.17/4.34 tff(3096,plain,
% 4.17/4.34 ((~v947(constB14)) | v949(constB15)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3095, 257, 2600])).
% 4.17/4.34 tff(3097,plain,
% 4.17/4.34 (v949(constB15)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3096, 3092])).
% 4.17/4.34 tff(3098,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB14, constB15)) | v944(constB15) | v929(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB14, constB15)) | v944(constB15) | v929(constB15))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3099,plain,
% 4.17/4.34 (((~nextState(constB14, constB15)) | v929(constB15) | v944(constB15)) <=> ((~nextState(constB14, constB15)) | v944(constB15) | v929(constB15))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3100,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB14, constB15)) | v929(constB15) | v944(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB14, constB15)) | v944(constB15) | v929(constB15)))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3099])).
% 4.17/4.34 tff(3101,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB14, constB15)) | v929(constB15) | v944(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB14, constB15)) | v944(constB15) | v929(constB15))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3100, 3098])).
% 4.17/4.34 tff(3102,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB14, constB15)) | v929(constB15) | v944(constB15))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3103,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB14, constB15)) | v944(constB15) | v929(constB15)),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3102, 3101])).
% 4.17/4.34 tff(3104,plain,
% 4.17/4.34 (v944(constB15) | v929(constB15)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3103, 181, 2600])).
% 4.17/4.34 tff(3105,plain,
% 4.17/4.34 (v944(constB15)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3104, 2950])).
% 4.17/4.34 tff(3106,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB14, constB15)) | v942(constB15) | (~v1(constB15)) | (~v944(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB14, constB15)) | v942(constB15) | (~v1(constB15)) | (~v944(constB15)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3107,plain,
% 4.17/4.34 (((~nextState(constB14, constB15)) | (~v1(constB15)) | v942(constB15) | (~v944(constB15))) <=> ((~nextState(constB14, constB15)) | v942(constB15) | (~v1(constB15)) | (~v944(constB15)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3108,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB14, constB15)) | (~v1(constB15)) | v942(constB15) | (~v944(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB14, constB15)) | v942(constB15) | (~v1(constB15)) | (~v944(constB15))))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3107])).
% 4.17/4.34 tff(3109,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB14, constB15)) | (~v1(constB15)) | v942(constB15) | (~v944(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB14, constB15)) | v942(constB15) | (~v1(constB15)) | (~v944(constB15)))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3108, 3106])).
% 4.17/4.34 tff(3110,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB14, constB15)) | (~v1(constB15)) | v942(constB15) | (~v944(constB15)))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3111,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB14, constB15)) | v942(constB15) | (~v1(constB15)) | (~v944(constB15))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3110, 3109])).
% 4.17/4.34 tff(3112,plain,
% 4.17/4.34 (v942(constB15) | (~v944(constB15))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3111, 206, 2600, 2607])).
% 4.17/4.34 tff(3113,plain,
% 4.17/4.34 (v942(constB15)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3112, 3105])).
% 4.17/4.34 tff(3114,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB14, constB15)) | v941(constB15) | (~v942(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB14, constB15)) | v941(constB15) | (~v942(constB15)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3115,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB14, constB15)) | v941(constB15) | (~v942(constB15)))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3116,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB14, constB15)) | v941(constB15) | (~v942(constB15))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3115, 3114])).
% 4.17/4.34 tff(3117,plain,
% 4.17/4.34 (v941(constB15) | (~v942(constB15))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3116, 224, 2600])).
% 4.17/4.34 tff(3118,plain,
% 4.17/4.34 (v941(constB15)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3117, 3113])).
% 4.17/4.34 tff(3119,plain,
% 4.17/4.34 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB15, bitIndex1) | (~v949(constB15)) | (~v941(constB15)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB15, bitIndex1) | (~v949(constB15)) | (~v941(constB15)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3120,plain,
% 4.17/4.34 ((v6(constB15, bitIndex1) | (~v941(constB15)) | (~v949(constB15))) <=> (v6(constB15, bitIndex1) | (~v949(constB15)) | (~v941(constB15)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3121,plain,
% 4.17/4.34 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB15, bitIndex1) | (~v941(constB15)) | (~v949(constB15)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB15, bitIndex1) | (~v949(constB15)) | (~v941(constB15))))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3120])).
% 4.17/4.34 tff(3122,plain,
% 4.17/4.34 (((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB15, bitIndex1) | (~v941(constB15)) | (~v949(constB15)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB15, bitIndex1) | (~v949(constB15)) | (~v941(constB15)))),
% 4.17/4.34 inference(transitivity,[status(thm)],[3121, 3119])).
% 4.17/4.34 tff(3123,plain,
% 4.17/4.34 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | (v6(constB15, bitIndex1) | (~v941(constB15)) | (~v949(constB15)))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3124,plain,
% 4.17/4.34 ((~![VarNext: $i] : (v6(VarNext, bitIndex1) | (~v941(VarNext)) | (~v949(VarNext)))) | v6(constB15, bitIndex1) | (~v949(constB15)) | (~v941(constB15))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3123, 3122])).
% 4.17/4.34 tff(3125,plain,
% 4.17/4.34 (v6(constB15, bitIndex1) | (~v949(constB15))),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3124, 239, 3118])).
% 4.17/4.34 tff(3126,plain,
% 4.17/4.34 (v6(constB15, bitIndex1)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3125, 3097])).
% 4.17/4.34 tff(3127,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB15, constB16)) | v1(constB16) | (~v942(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB15, constB16)) | v1(constB16) | (~v942(constB16)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3128,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB15, constB16)) | v1(constB16) | (~v942(constB16)))),
% 4.17/4.34 inference(quant_inst,[status(thm)],[])).
% 4.17/4.34 tff(3129,plain,
% 4.17/4.34 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB15, constB16)) | v1(constB16) | (~v942(constB16))),
% 4.17/4.34 inference(modus_ponens,[status(thm)],[3128, 3127])).
% 4.17/4.34 tff(3130,plain,
% 4.17/4.34 (~v942(constB16)),
% 4.17/4.34 inference(unit_resolution,[status(thm)],[3129, 696, 2610, 2617])).
% 4.17/4.34 tff(3131,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB15, constB16)) | v942(constB16) | (~v941(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB15, constB16)) | v942(constB16) | (~v941(constB16)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3132,plain,
% 4.17/4.34 (((~nextState(constB15, constB16)) | (~v941(constB16)) | v942(constB16)) <=> ((~nextState(constB15, constB16)) | v942(constB16) | (~v941(constB16)))),
% 4.17/4.34 inference(rewrite,[status(thm)],[])).
% 4.17/4.34 tff(3133,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB15, constB16)) | (~v941(constB16)) | v942(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB15, constB16)) | v942(constB16) | (~v941(constB16))))),
% 4.17/4.34 inference(monotonicity,[status(thm)],[3132])).
% 4.17/4.34 tff(3134,plain,
% 4.17/4.34 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB15, constB16)) | (~v941(constB16)) | v942(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB15, constB16)) | v942(constB16) | (~v941(constB16)))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3133, 3131])).
% 4.17/4.35 tff(3135,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB15, constB16)) | (~v941(constB16)) | v942(constB16))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3136,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB15, constB16)) | v942(constB16) | (~v941(constB16))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3135, 3134])).
% 4.17/4.35 tff(3137,plain,
% 4.17/4.35 (v942(constB16) | (~v941(constB16))),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3136, 710, 2610])).
% 4.17/4.35 tff(3138,plain,
% 4.17/4.35 (~v941(constB16)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3137, 3130])).
% 4.17/4.35 tff(3139,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v941(constB16) | v6(constB16, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v941(constB16) | v6(constB16, bitIndex1))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3140,plain,
% 4.17/4.35 (((~nextState(constB15, constB16)) | (~v6(constB15, bitIndex1)) | v941(constB16) | v6(constB16, bitIndex1)) <=> ((~v6(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v941(constB16) | v6(constB16, bitIndex1))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3141,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v6(constB15, bitIndex1)) | v941(constB16) | v6(constB16, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v941(constB16) | v6(constB16, bitIndex1)))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3140])).
% 4.17/4.35 tff(3142,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v6(constB15, bitIndex1)) | v941(constB16) | v6(constB16, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v941(constB16) | v6(constB16, bitIndex1))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3141, 3139])).
% 4.17/4.35 tff(3143,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB15, constB16)) | (~v6(constB15, bitIndex1)) | v941(constB16) | v6(constB16, bitIndex1))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3144,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB15, bitIndex1)) | (~nextState(constB15, constB16)) | v941(constB16) | v6(constB16, bitIndex1)),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3143, 3142])).
% 4.17/4.35 tff(3145,plain,
% 4.17/4.35 ((~v6(constB15, bitIndex1)) | v941(constB16) | v6(constB16, bitIndex1)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3144, 728, 2610])).
% 4.17/4.35 tff(3146,plain,
% 4.17/4.35 ((~v6(constB15, bitIndex1)) | v6(constB16, bitIndex1)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3145, 3138])).
% 4.17/4.35 tff(3147,plain,
% 4.17/4.35 (v6(constB16, bitIndex1)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3146, 3126])).
% 4.17/4.35 tff(3148,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB16, bitIndex1)) | v19(constB16, bitIndex0) | (~v702(constB16)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB16, bitIndex1)) | v19(constB16, bitIndex0) | (~v702(constB16)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3149,plain,
% 4.17/4.35 (((~v6(constB16, bitIndex1)) | (~v702(constB16)) | v19(constB16, bitIndex0)) <=> ((~v6(constB16, bitIndex1)) | v19(constB16, bitIndex0) | (~v702(constB16)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3150,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB16, bitIndex1)) | (~v702(constB16)) | v19(constB16, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB16, bitIndex1)) | v19(constB16, bitIndex0) | (~v702(constB16))))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3149])).
% 4.17/4.35 tff(3151,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB16, bitIndex1)) | (~v702(constB16)) | v19(constB16, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB16, bitIndex1)) | v19(constB16, bitIndex0) | (~v702(constB16)))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3150, 3148])).
% 4.17/4.35 tff(3152,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB16, bitIndex1)) | (~v702(constB16)) | v19(constB16, bitIndex0))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3153,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB16, bitIndex1)) | v19(constB16, bitIndex0) | (~v702(constB16))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3152, 3151])).
% 4.17/4.35 tff(3154,plain,
% 4.17/4.35 ((~v6(constB16, bitIndex1)) | (~v702(constB16))),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3153, 663, 2860])).
% 4.17/4.35 tff(3155,plain,
% 4.17/4.35 (~v702(constB16)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3154, 3147])).
% 4.17/4.35 tff(3156,plain,
% 4.17/4.35 (((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB16) | (~v6(constB16, bitIndex1)) | v19(constB16, bitIndex1))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB16) | (~v6(constB16, bitIndex1)) | v19(constB16, bitIndex1))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3157,plain,
% 4.17/4.35 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB16) | (~v6(constB16, bitIndex1)) | v19(constB16, bitIndex1))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3158,plain,
% 4.17/4.35 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB16) | (~v6(constB16, bitIndex1)) | v19(constB16, bitIndex1)),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3157, 3156])).
% 4.17/4.35 tff(3159,plain,
% 4.17/4.35 (v702(constB16) | (~v6(constB16, bitIndex1))),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3158, 679, 2865])).
% 4.17/4.35 tff(3160,plain,
% 4.17/4.35 ($false),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3159, 3155, 3147])).
% 4.17/4.35 tff(3161,plain,(v19(constB16, bitIndex1) | v19(constB16, bitIndex0) | (~v6(constB12, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.17/4.35 tff(3162,plain,
% 4.17/4.35 ($false),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3161, 2859, 2851, 2182])).
% 4.17/4.35 tff(3163,plain,(v933(constB16) | (~v6(constB12, bitIndex0)) | v947(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.35 tff(3164,plain,
% 4.17/4.35 (v933(constB16)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3163, 2837, 2182])).
% 4.17/4.35 tff(3165,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB16, constB17)) | (~v933(constB16)) | v935(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB16, constB17)) | (~v933(constB16)) | v935(constB17))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3166,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | ((~nextState(constB16, constB17)) | (~v933(constB16)) | v935(constB17))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3167,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v933(VarCurr)) | v935(VarNext))) | (~nextState(constB16, constB17)) | (~v933(constB16)) | v935(constB17)),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3166, 3165])).
% 4.17/4.35 tff(3168,plain,
% 4.17/4.35 ((~v933(constB16)) | v935(constB17)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3167, 347, 2620])).
% 4.17/4.35 tff(3169,plain,
% 4.17/4.35 (v935(constB17)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3168, 3164])).
% 4.17/4.35 tff(3170,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB16, constB17)) | v929(constB17) | v927(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB16, constB17)) | v929(constB17) | v927(constB17))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3171,plain,
% 4.17/4.35 (((~nextState(constB16, constB17)) | v927(constB17) | v929(constB17)) <=> ((~nextState(constB16, constB17)) | v929(constB17) | v927(constB17))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3172,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB16, constB17)) | v927(constB17) | v929(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB16, constB17)) | v929(constB17) | v927(constB17)))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3171])).
% 4.17/4.35 tff(3173,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB16, constB17)) | v927(constB17) | v929(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB16, constB17)) | v929(constB17) | v927(constB17))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3172, 3170])).
% 4.17/4.35 tff(3174,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | ((~nextState(constB16, constB17)) | v927(constB17) | v929(constB17))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3175,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v927(VarNext) | v929(VarNext))) | (~nextState(constB16, constB17)) | v929(constB17) | v927(constB17)),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3174, 3173])).
% 4.17/4.35 tff(3176,plain,
% 4.17/4.35 (v929(constB17) | v927(constB17)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3175, 281, 2620])).
% 4.17/4.35 tff(3177,plain,
% 4.17/4.35 (v927(constB17)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3176, 2803])).
% 4.17/4.35 tff(3178,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB16, constB17)) | (~v1(constB17)) | v926(constB17) | (~v927(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB16, constB17)) | (~v1(constB17)) | v926(constB17) | (~v927(constB17)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3179,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | ((~nextState(constB16, constB17)) | (~v1(constB17)) | v926(constB17) | (~v927(constB17)))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3180,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v926(VarNext) | (~v927(VarNext)))) | (~nextState(constB16, constB17)) | (~v1(constB17)) | v926(constB17) | (~v927(constB17))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3179, 3178])).
% 4.17/4.35 tff(3181,plain,
% 4.17/4.35 (v926(constB17) | (~v927(constB17))),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3180, 299, 2620, 2627])).
% 4.17/4.35 tff(3182,plain,
% 4.17/4.35 (v926(constB17)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3181, 3177])).
% 4.17/4.35 tff(3183,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB16, constB17)) | v925(constB17) | (~v926(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB16, constB17)) | v925(constB17) | (~v926(constB17)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3184,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | ((~nextState(constB16, constB17)) | v925(constB17) | (~v926(constB17)))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3185,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v925(VarNext) | (~v926(VarNext)))) | (~nextState(constB16, constB17)) | v925(constB17) | (~v926(constB17))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3184, 3183])).
% 4.17/4.35 tff(3186,plain,
% 4.17/4.35 (v925(constB17) | (~v926(constB17))),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3185, 314, 2620])).
% 4.17/4.35 tff(3187,plain,
% 4.17/4.35 (v925(constB17)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3186, 3182])).
% 4.17/4.35 tff(3188,plain,
% 4.17/4.35 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB17, bitIndex0) | (~v935(constB17)) | (~v925(constB17)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB17, bitIndex0) | (~v935(constB17)) | (~v925(constB17)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3189,plain,
% 4.17/4.35 ((v6(constB17, bitIndex0) | (~v925(constB17)) | (~v935(constB17))) <=> (v6(constB17, bitIndex0) | (~v935(constB17)) | (~v925(constB17)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3190,plain,
% 4.17/4.35 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB17, bitIndex0) | (~v925(constB17)) | (~v935(constB17)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB17, bitIndex0) | (~v935(constB17)) | (~v925(constB17))))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3189])).
% 4.17/4.35 tff(3191,plain,
% 4.17/4.35 (((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB17, bitIndex0) | (~v925(constB17)) | (~v935(constB17)))) <=> ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB17, bitIndex0) | (~v935(constB17)) | (~v925(constB17)))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3190, 3188])).
% 4.17/4.35 tff(3192,plain,
% 4.17/4.35 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | (v6(constB17, bitIndex0) | (~v925(constB17)) | (~v935(constB17)))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3193,plain,
% 4.17/4.35 ((~![VarNext: $i] : (v6(VarNext, bitIndex0) | (~v925(VarNext)) | (~v935(VarNext)))) | v6(constB17, bitIndex0) | (~v935(constB17)) | (~v925(constB17))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3192, 3191])).
% 4.17/4.35 tff(3194,plain,
% 4.17/4.35 (v6(constB17, bitIndex0) | (~v935(constB17))),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3193, 329, 3187])).
% 4.17/4.35 tff(3195,plain,
% 4.17/4.35 (v6(constB17, bitIndex0)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3194, 3169])).
% 4.17/4.35 tff(3196,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB17, constB18)) | v1(constB18) | (~v926(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB17, constB18)) | v1(constB18) | (~v926(constB18)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3197,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB17, constB18)) | v1(constB18) | (~v926(constB18)))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3198,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB17, constB18)) | v1(constB18) | (~v926(constB18))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3197, 3196])).
% 4.17/4.35 tff(3199,plain,
% 4.17/4.35 (~v926(constB18)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3198, 555, 2630, 2637])).
% 4.17/4.35 tff(3200,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB17, constB18)) | v926(constB18) | (~v925(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB17, constB18)) | v926(constB18) | (~v925(constB18)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3201,plain,
% 4.17/4.35 (((~nextState(constB17, constB18)) | (~v925(constB18)) | v926(constB18)) <=> ((~nextState(constB17, constB18)) | v926(constB18) | (~v925(constB18)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3202,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB17, constB18)) | (~v925(constB18)) | v926(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB17, constB18)) | v926(constB18) | (~v925(constB18))))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3201])).
% 4.17/4.35 tff(3203,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB17, constB18)) | (~v925(constB18)) | v926(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB17, constB18)) | v926(constB18) | (~v925(constB18)))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3202, 3200])).
% 4.17/4.35 tff(3204,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB17, constB18)) | (~v925(constB18)) | v926(constB18))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3205,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB17, constB18)) | v926(constB18) | (~v925(constB18))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3204, 3203])).
% 4.17/4.35 tff(3206,plain,
% 4.17/4.35 (v926(constB18) | (~v925(constB18))),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3205, 569, 2630])).
% 4.17/4.35 tff(3207,plain,
% 4.17/4.35 (~v925(constB18)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3206, 3199])).
% 4.17/4.35 tff(3208,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v925(constB18) | v6(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v925(constB18) | v6(constB18, bitIndex0))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3209,plain,
% 4.17/4.35 (((~nextState(constB17, constB18)) | (~v6(constB17, bitIndex0)) | v925(constB18) | v6(constB18, bitIndex0)) <=> ((~v6(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v925(constB18) | v6(constB18, bitIndex0))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3210,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v6(constB17, bitIndex0)) | v925(constB18) | v6(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v925(constB18) | v6(constB18, bitIndex0)))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3209])).
% 4.17/4.35 tff(3211,plain,
% 4.17/4.35 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v6(constB17, bitIndex0)) | v925(constB18) | v6(constB18, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v925(constB18) | v6(constB18, bitIndex0))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3210, 3208])).
% 4.17/4.35 tff(3212,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB17, constB18)) | (~v6(constB17, bitIndex0)) | v925(constB18) | v6(constB18, bitIndex0))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3213,plain,
% 4.17/4.35 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB17, bitIndex0)) | (~nextState(constB17, constB18)) | v925(constB18) | v6(constB18, bitIndex0)),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3212, 3211])).
% 4.17/4.35 tff(3214,plain,
% 4.17/4.35 ((~v6(constB17, bitIndex0)) | v925(constB18) | v6(constB18, bitIndex0)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3213, 587, 2630])).
% 4.17/4.35 tff(3215,plain,
% 4.17/4.35 ((~v6(constB17, bitIndex0)) | v6(constB18, bitIndex0)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3214, 3207])).
% 4.17/4.35 tff(3216,plain,
% 4.17/4.35 (v6(constB18, bitIndex0)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3215, 3195])).
% 4.17/4.35 tff(3217,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex1)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3218,plain,
% 4.17/4.35 (((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex1)) | v918(constB18)) <=> ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex1)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3219,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex1)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex1))))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3218])).
% 4.17/4.35 tff(3220,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex1)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex1)))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3219, 3217])).
% 4.17/4.35 tff(3221,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex1)) | v918(constB18))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3222,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex1)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex1))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3221, 3220])).
% 4.17/4.35 tff(3223,plain,
% 4.17/4.35 (~v25(constB18, bitIndex1)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3222, 431, 3216, 2745])).
% 4.17/4.35 tff(3224,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex3)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3225,plain,
% 4.17/4.35 (((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex3)) | v918(constB18)) <=> ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex3)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3226,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex3)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex3))))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3225])).
% 4.17/4.35 tff(3227,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex3)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex3)))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3226, 3224])).
% 4.17/4.35 tff(3228,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex3)) | v918(constB18))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3229,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex3)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex3))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3228, 3227])).
% 4.17/4.35 tff(3230,plain,
% 4.17/4.35 (~v25(constB18, bitIndex3)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3229, 503, 3216, 2745])).
% 4.17/4.35 tff(3231,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex0)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3232,plain,
% 4.17/4.35 (((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex0)) | v918(constB18)) <=> ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex0)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3233,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex0)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex0))))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3232])).
% 4.17/4.35 tff(3234,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex0)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex0)))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3233, 3231])).
% 4.17/4.35 tff(3235,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex0)) | v918(constB18))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3236,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex0)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex0))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3235, 3234])).
% 4.17/4.35 tff(3237,plain,
% 4.17/4.35 (~v25(constB18, bitIndex0)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3236, 449, 3216, 2745])).
% 4.17/4.35 tff(3238,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex2)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3239,plain,
% 4.17/4.35 (((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex2)) | v918(constB18)) <=> ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex2)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3240,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex2)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex2))))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3239])).
% 4.17/4.35 tff(3241,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex2)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex2)))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3240, 3238])).
% 4.17/4.35 tff(3242,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex2)) | v918(constB18))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3243,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex2)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex2))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3242, 3241])).
% 4.17/4.35 tff(3244,plain,
% 4.17/4.35 (~v25(constB18, bitIndex2)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3243, 467, 3216, 2745])).
% 4.17/4.35 tff(3245,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB18)) | v19(constB18, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB18)) | v19(constB18, bitIndex0))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3246,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v911(constB18)) | v19(constB18, bitIndex0))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3247,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v911(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v911(constB18)) | v19(constB18, bitIndex0)),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3246, 3245])).
% 4.17/4.35 tff(3248,plain,
% 4.17/4.35 (~v911(constB18)),
% 4.17/4.35 inference(unit_resolution,[status(thm)],[3247, 416, 2757])).
% 4.17/4.35 tff(3249,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex4)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3250,plain,
% 4.17/4.35 (((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex4)) | v918(constB18)) <=> ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex4)))),
% 4.17/4.35 inference(rewrite,[status(thm)],[])).
% 4.17/4.35 tff(3251,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex4)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex4))))),
% 4.17/4.35 inference(monotonicity,[status(thm)],[3250])).
% 4.17/4.35 tff(3252,plain,
% 4.17/4.35 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex4)) | v918(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex4)))),
% 4.17/4.35 inference(transitivity,[status(thm)],[3251, 3249])).
% 4.17/4.35 tff(3253,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | ((~v6(constB18, bitIndex0)) | (~v25(constB18, bitIndex4)) | v918(constB18))),
% 4.17/4.35 inference(quant_inst,[status(thm)],[])).
% 4.17/4.35 tff(3254,plain,
% 4.17/4.35 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | (~v25(VarCurr, bitIndex4)) | v918(VarCurr))) | (~v6(constB18, bitIndex0)) | v918(constB18) | (~v25(constB18, bitIndex4))),
% 4.17/4.35 inference(modus_ponens,[status(thm)],[3253, 3252])).
% 4.17/4.35 tff(3255,plain,
% 4.17/4.35 (~v25(constB18, bitIndex4)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3254, 485, 3216, 2745])).
% 4.17/4.36 tff(3256,plain,
% 4.17/4.36 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB18, bitIndex0)) | v911(constB18) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB18, bitIndex0)) | v911(constB18) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3257,plain,
% 4.17/4.36 (((~v6(constB18, bitIndex0)) | v25(constB18, bitIndex1) | v25(constB18, bitIndex0) | v25(constB18, bitIndex2) | v25(constB18, bitIndex3) | v25(constB18, bitIndex4) | v911(constB18)) <=> ((~v6(constB18, bitIndex0)) | v911(constB18) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3258,plain,
% 4.17/4.36 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB18, bitIndex0)) | v25(constB18, bitIndex1) | v25(constB18, bitIndex0) | v25(constB18, bitIndex2) | v25(constB18, bitIndex3) | v25(constB18, bitIndex4) | v911(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB18, bitIndex0)) | v911(constB18) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1)))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3257])).
% 4.17/4.36 tff(3259,plain,
% 4.17/4.36 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB18, bitIndex0)) | v25(constB18, bitIndex1) | v25(constB18, bitIndex0) | v25(constB18, bitIndex2) | v25(constB18, bitIndex3) | v25(constB18, bitIndex4) | v911(constB18))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB18, bitIndex0)) | v911(constB18) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1))),
% 4.17/4.36 inference(transitivity,[status(thm)],[3258, 3256])).
% 4.17/4.36 tff(3260,plain,
% 4.17/4.36 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | ((~v6(constB18, bitIndex0)) | v25(constB18, bitIndex1) | v25(constB18, bitIndex0) | v25(constB18, bitIndex2) | v25(constB18, bitIndex3) | v25(constB18, bitIndex4) | v911(constB18))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3261,plain,
% 4.17/4.36 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | v911(VarCurr))) | (~v6(constB18, bitIndex0)) | v911(constB18) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1)),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 4.17/4.36 tff(3262,plain,
% 4.17/4.36 ($false),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3261, 522, 3216, 3255, 3248, 3244, 3237, 3230, 3223])).
% 4.17/4.36 tff(3263,plain,(v933(constB18) | (~v6(constB12, bitIndex0)) | v947(constB18)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.36 tff(3264,plain,
% 4.17/4.36 ($false),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3263, 2727, 2685, 2182])).
% 4.17/4.36 tff(3265,plain,((~(constB19 = sK293_VarCurr)) | (~v6(constB12, bitIndex0)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.36 tff(3266,plain,
% 4.17/4.36 (~(constB19 = sK293_VarCurr)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3265, 2182, 4])).
% 4.17/4.36 tff(3267,assumption,(~(constB7 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.36 tff(3268,assumption,(~(constB4 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.36 tff(3269,assumption,(constB20 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.36 tff(3270,plain,
% 4.17/4.36 (v6(constB20, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3269])).
% 4.17/4.36 tff(3271,plain,
% 4.17/4.36 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB20, bitIndex0)),
% 4.17/4.36 inference(symmetry,[status(thm)],[3270])).
% 4.17/4.36 tff(3272,plain,
% 4.17/4.36 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB20, bitIndex0))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3271])).
% 4.17/4.36 tff(3273,plain,
% 4.17/4.36 (~v6(constB20, bitIndex0)),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[266, 3272])).
% 4.17/4.36 tff(3274,assumption,(v6(constB20, bitIndex0)), introduced(assumption)).
% 4.17/4.36 tff(3275,plain,
% 4.17/4.36 ($false),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3274, 3273])).
% 4.17/4.36 tff(3276,plain,((~(constB20 = sK293_VarCurr)) | (~v6(constB20, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.36 tff(3277,plain,
% 4.17/4.36 (~v6(constB20, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3276, 3269, 266])).
% 4.17/4.36 tff(3278,plain,
% 4.17/4.36 (nextState(constB19, constB20) <=> nextState(constB19, constB20)),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3279,axiom,(nextState(constB19, constB20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9785')).
% 4.17/4.36 tff(3280,plain,
% 4.17/4.36 (nextState(constB19, constB20)),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3279, 3278])).
% 4.17/4.36 tff(3281,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB19)) | (~nextState(constB19, constB20)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB19)) | (~nextState(constB19, constB20)) | (~v1(constB20)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3282,plain,
% 4.17/4.36 (((~nextState(constB19, constB20)) | (~v1(constB19)) | (~v1(constB20))) <=> ((~v1(constB19)) | (~nextState(constB19, constB20)) | (~v1(constB20)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3283,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB19)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~v1(constB19)) | (~nextState(constB19, constB20)) | (~v1(constB20))))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3282])).
% 4.17/4.36 tff(3284,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB19)) | (~v1(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB19)) | (~nextState(constB19, constB20)) | (~v1(constB20)))),
% 4.17/4.36 inference(transitivity,[status(thm)],[3283, 3281])).
% 4.17/4.36 tff(3285,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | ((~nextState(constB19, constB20)) | (~v1(constB19)) | (~v1(constB20)))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3286,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarCurr)) | (~v1(VarNext)))) | (~v1(constB19)) | (~nextState(constB19, constB20)) | (~v1(constB20))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3285, 3284])).
% 4.17/4.36 tff(3287,plain,
% 4.17/4.36 (~v1(constB20)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3286, 64, 3280, 2662])).
% 4.17/4.36 tff(3288,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB19, constB20)) | v1(constB20) | (~v926(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB19, constB20)) | v1(constB20) | (~v926(constB20)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3289,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB19, constB20)) | v1(constB20) | (~v926(constB20)))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3290,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB19, constB20)) | v1(constB20) | (~v926(constB20))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3289, 3288])).
% 4.17/4.36 tff(3291,plain,
% 4.17/4.36 (~v926(constB20)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3290, 555, 3280, 3287])).
% 4.17/4.36 tff(3292,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB19, constB20)) | v926(constB20) | (~v925(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB19, constB20)) | v926(constB20) | (~v925(constB20)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3293,plain,
% 4.17/4.36 (((~nextState(constB19, constB20)) | (~v925(constB20)) | v926(constB20)) <=> ((~nextState(constB19, constB20)) | v926(constB20) | (~v925(constB20)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3294,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB19, constB20)) | (~v925(constB20)) | v926(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB19, constB20)) | v926(constB20) | (~v925(constB20))))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3293])).
% 4.17/4.36 tff(3295,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB19, constB20)) | (~v925(constB20)) | v926(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB19, constB20)) | v926(constB20) | (~v925(constB20)))),
% 4.17/4.36 inference(transitivity,[status(thm)],[3294, 3292])).
% 4.17/4.36 tff(3296,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB19, constB20)) | (~v925(constB20)) | v926(constB20))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3297,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB19, constB20)) | v926(constB20) | (~v925(constB20))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3296, 3295])).
% 4.17/4.36 tff(3298,plain,
% 4.17/4.36 (v926(constB20) | (~v925(constB20))),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3297, 569, 3280])).
% 4.17/4.36 tff(3299,plain,
% 4.17/4.36 (~v925(constB20)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3298, 3291])).
% 4.17/4.36 tff(3300,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v925(constB20) | v6(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v925(constB20) | v6(constB20, bitIndex0))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3301,plain,
% 4.17/4.36 (((~nextState(constB19, constB20)) | (~v6(constB19, bitIndex0)) | v925(constB20) | v6(constB20, bitIndex0)) <=> ((~v6(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v925(constB20) | v6(constB20, bitIndex0))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3302,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v6(constB19, bitIndex0)) | v925(constB20) | v6(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v925(constB20) | v6(constB20, bitIndex0)))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3301])).
% 4.17/4.36 tff(3303,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v6(constB19, bitIndex0)) | v925(constB20) | v6(constB20, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v925(constB20) | v6(constB20, bitIndex0))),
% 4.17/4.36 inference(transitivity,[status(thm)],[3302, 3300])).
% 4.17/4.36 tff(3304,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB19, constB20)) | (~v6(constB19, bitIndex0)) | v925(constB20) | v6(constB20, bitIndex0))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3305,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB19, bitIndex0)) | (~nextState(constB19, constB20)) | v925(constB20) | v6(constB20, bitIndex0)),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3304, 3303])).
% 4.17/4.36 tff(3306,plain,
% 4.17/4.36 ((~v6(constB19, bitIndex0)) | v925(constB20) | v6(constB20, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3305, 587, 3280])).
% 4.17/4.36 tff(3307,plain,
% 4.17/4.36 ((~v6(constB19, bitIndex0)) | v6(constB20, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3306, 3299])).
% 4.17/4.36 tff(3308,plain,
% 4.17/4.36 (~v6(constB19, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3307, 3277])).
% 4.17/4.36 tff(3309,plain,
% 4.17/4.36 (~v935(constB19)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[2679, 3308])).
% 4.17/4.36 tff(3310,plain,
% 4.17/4.36 (~v933(constB18)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[2684, 3309])).
% 4.17/4.36 tff(3311,plain,
% 4.17/4.36 (v6(constB20, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3269])).
% 4.17/4.36 tff(3312,plain,
% 4.17/4.36 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB20, bitIndex1)),
% 4.17/4.36 inference(symmetry,[status(thm)],[3311])).
% 4.17/4.36 tff(3313,plain,
% 4.17/4.36 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB20, bitIndex1))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3312])).
% 4.17/4.36 tff(3314,plain,
% 4.17/4.36 (~v6(constB20, bitIndex1)),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[4, 3313])).
% 4.17/4.36 tff(3315,assumption,(v6(constB20, bitIndex1)), introduced(assumption)).
% 4.17/4.36 tff(3316,plain,
% 4.17/4.36 ($false),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3315, 3314])).
% 4.17/4.36 tff(3317,plain,((~(constB20 = sK293_VarCurr)) | (~v6(constB20, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.36 tff(3318,plain,
% 4.17/4.36 (~v6(constB20, bitIndex1)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3317, 3269, 2321])).
% 4.17/4.36 tff(3319,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB19, constB20)) | v1(constB20) | (~v942(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB19, constB20)) | v1(constB20) | (~v942(constB20)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3320,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB19, constB20)) | v1(constB20) | (~v942(constB20)))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3321,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB19, constB20)) | v1(constB20) | (~v942(constB20))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3320, 3319])).
% 4.17/4.36 tff(3322,plain,
% 4.17/4.36 (~v942(constB20)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3321, 696, 3280, 3287])).
% 4.17/4.36 tff(3323,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB19, constB20)) | v942(constB20) | (~v941(constB20)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB19, constB20)) | v942(constB20) | (~v941(constB20)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3324,plain,
% 4.17/4.36 (((~nextState(constB19, constB20)) | (~v941(constB20)) | v942(constB20)) <=> ((~nextState(constB19, constB20)) | v942(constB20) | (~v941(constB20)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3325,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB19, constB20)) | (~v941(constB20)) | v942(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB19, constB20)) | v942(constB20) | (~v941(constB20))))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3324])).
% 4.17/4.36 tff(3326,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB19, constB20)) | (~v941(constB20)) | v942(constB20))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB19, constB20)) | v942(constB20) | (~v941(constB20)))),
% 4.17/4.36 inference(transitivity,[status(thm)],[3325, 3323])).
% 4.17/4.36 tff(3327,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB19, constB20)) | (~v941(constB20)) | v942(constB20))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3328,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB19, constB20)) | v942(constB20) | (~v941(constB20))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3327, 3326])).
% 4.17/4.36 tff(3329,plain,
% 4.17/4.36 (v942(constB20) | (~v941(constB20))),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3328, 710, 3280])).
% 4.17/4.36 tff(3330,plain,
% 4.17/4.36 (~v941(constB20)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3329, 3322])).
% 4.17/4.36 tff(3331,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v941(constB20) | v6(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v941(constB20) | v6(constB20, bitIndex1))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3332,plain,
% 4.17/4.36 (((~nextState(constB19, constB20)) | (~v6(constB19, bitIndex1)) | v941(constB20) | v6(constB20, bitIndex1)) <=> ((~v6(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v941(constB20) | v6(constB20, bitIndex1))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3333,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v6(constB19, bitIndex1)) | v941(constB20) | v6(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v941(constB20) | v6(constB20, bitIndex1)))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3332])).
% 4.17/4.36 tff(3334,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v6(constB19, bitIndex1)) | v941(constB20) | v6(constB20, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v941(constB20) | v6(constB20, bitIndex1))),
% 4.17/4.36 inference(transitivity,[status(thm)],[3333, 3331])).
% 4.17/4.36 tff(3335,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB19, constB20)) | (~v6(constB19, bitIndex1)) | v941(constB20) | v6(constB20, bitIndex1))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3336,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB19, bitIndex1)) | (~nextState(constB19, constB20)) | v941(constB20) | v6(constB20, bitIndex1)),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3335, 3334])).
% 4.17/4.36 tff(3337,plain,
% 4.17/4.36 ((~v6(constB19, bitIndex1)) | v941(constB20) | v6(constB20, bitIndex1)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3336, 728, 3280])).
% 4.17/4.36 tff(3338,plain,
% 4.17/4.36 ((~v6(constB19, bitIndex1)) | v6(constB20, bitIndex1)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3337, 3330])).
% 4.17/4.36 tff(3339,plain,
% 4.17/4.36 (~v6(constB19, bitIndex1)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3338, 3318])).
% 4.17/4.36 tff(3340,plain,
% 4.17/4.36 (~v949(constB19)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[2721, 3339])).
% 4.17/4.36 tff(3341,plain,
% 4.17/4.36 (~v947(constB18)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[2726, 3340])).
% 4.17/4.36 tff(3342,plain,
% 4.17/4.36 ($false),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3263, 3341, 3310, 2182])).
% 4.17/4.36 tff(3343,plain,((~(constB20 = sK293_VarCurr)) | (~v6(constB12, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.36 tff(3344,plain,
% 4.17/4.36 (~(constB20 = sK293_VarCurr)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3343, 2182, 19])).
% 4.17/4.36 tff(3345,assumption,(constB5 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.36 tff(3346,plain,
% 4.17/4.36 (v6(constB5, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3345])).
% 4.17/4.36 tff(3347,plain,
% 4.17/4.36 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB5, bitIndex0)),
% 4.17/4.36 inference(symmetry,[status(thm)],[3346])).
% 4.17/4.36 tff(3348,plain,
% 4.17/4.36 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB5, bitIndex0))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3347])).
% 4.17/4.36 tff(3349,plain,
% 4.17/4.36 (~v6(constB5, bitIndex0)),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[266, 3348])).
% 4.17/4.36 tff(3350,assumption,(v6(constB5, bitIndex0)), introduced(assumption)).
% 4.17/4.36 tff(3351,plain,
% 4.17/4.36 ($false),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3350, 3349])).
% 4.17/4.36 tff(3352,plain,((~(constB5 = sK293_VarCurr)) | (~v6(constB5, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.36 tff(3353,plain,
% 4.17/4.36 (~v6(constB5, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3352, 3345, 19])).
% 4.17/4.36 tff(3354,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v925(constB6) | (~v6(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v925(constB6) | (~v6(constB6, bitIndex0)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3355,plain,
% 4.17/4.36 (((~nextState(constB5, constB6)) | v6(constB5, bitIndex0) | v925(constB6) | (~v6(constB6, bitIndex0))) <=> (v6(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v925(constB6) | (~v6(constB6, bitIndex0)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3356,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v6(constB5, bitIndex0) | v925(constB6) | (~v6(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v925(constB6) | (~v6(constB6, bitIndex0))))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3355])).
% 4.17/4.36 tff(3357,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v6(constB5, bitIndex0) | v925(constB6) | (~v6(constB6, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v925(constB6) | (~v6(constB6, bitIndex0)))),
% 4.17/4.36 inference(transitivity,[status(thm)],[3356, 3354])).
% 4.17/4.36 tff(3358,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB5, constB6)) | v6(constB5, bitIndex0) | v925(constB6) | (~v6(constB6, bitIndex0)))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3359,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB5, bitIndex0) | (~nextState(constB5, constB6)) | v925(constB6) | (~v6(constB6, bitIndex0))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3358, 3357])).
% 4.17/4.36 tff(3360,plain,
% 4.17/4.36 (v6(constB5, bitIndex0) | v925(constB6) | (~v6(constB6, bitIndex0))),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3359, 2219, 104])).
% 4.17/4.36 tff(3361,plain,
% 4.17/4.36 (v6(constB5, bitIndex0) | (~v6(constB6, bitIndex0))),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3360, 1413])).
% 4.17/4.36 tff(3362,plain,
% 4.17/4.36 (~v6(constB6, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3361, 3353])).
% 4.17/4.36 tff(3363,plain,
% 4.17/4.36 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB6, bitIndex0) | (~v911(constB6)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB6, bitIndex0) | (~v911(constB6)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3364,plain,
% 4.17/4.36 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB6, bitIndex0) | (~v911(constB6)))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3365,plain,
% 4.17/4.36 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB6, bitIndex0) | (~v911(constB6))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3364, 3363])).
% 4.17/4.36 tff(3366,plain,
% 4.17/4.36 (~v911(constB6)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3365, 2097, 3362])).
% 4.17/4.36 tff(3367,plain,
% 4.17/4.36 (v6(constB5, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3345])).
% 4.17/4.36 tff(3368,plain,
% 4.17/4.36 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB5, bitIndex1)),
% 4.17/4.36 inference(symmetry,[status(thm)],[3367])).
% 4.17/4.36 tff(3369,plain,
% 4.17/4.36 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB5, bitIndex1))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3368])).
% 4.17/4.36 tff(3370,plain,
% 4.17/4.36 (~v6(constB5, bitIndex1)),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[4, 3369])).
% 4.17/4.36 tff(3371,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v941(constB6) | (~v6(constB6, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v941(constB6) | (~v6(constB6, bitIndex1)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3372,plain,
% 4.17/4.36 (((~nextState(constB5, constB6)) | v6(constB5, bitIndex1) | v941(constB6) | (~v6(constB6, bitIndex1))) <=> (v6(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v941(constB6) | (~v6(constB6, bitIndex1)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3373,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v6(constB5, bitIndex1) | v941(constB6) | (~v6(constB6, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v941(constB6) | (~v6(constB6, bitIndex1))))),
% 4.17/4.36 inference(monotonicity,[status(thm)],[3372])).
% 4.17/4.36 tff(3374,plain,
% 4.17/4.36 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v6(constB5, bitIndex1) | v941(constB6) | (~v6(constB6, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v941(constB6) | (~v6(constB6, bitIndex1)))),
% 4.17/4.36 inference(transitivity,[status(thm)],[3373, 3371])).
% 4.17/4.36 tff(3375,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB5, constB6)) | v6(constB5, bitIndex1) | v941(constB6) | (~v6(constB6, bitIndex1)))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3376,plain,
% 4.17/4.36 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB5, bitIndex1) | (~nextState(constB5, constB6)) | v941(constB6) | (~v6(constB6, bitIndex1))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3375, 3374])).
% 4.17/4.36 tff(3377,plain,
% 4.17/4.36 (v6(constB5, bitIndex1) | v941(constB6) | (~v6(constB6, bitIndex1))),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3376, 2242, 104])).
% 4.17/4.36 tff(3378,plain,
% 4.17/4.36 (v6(constB5, bitIndex1) | (~v6(constB6, bitIndex1))),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3377, 1571])).
% 4.17/4.36 tff(3379,plain,
% 4.17/4.36 (~v6(constB6, bitIndex1)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3378, 3370])).
% 4.17/4.36 tff(3380,plain,
% 4.17/4.36 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB6, bitIndex1) | v911(constB6) | (~v19(constB6, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB6, bitIndex1) | v911(constB6) | (~v19(constB6, bitIndex0)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3381,plain,
% 4.17/4.36 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB6, bitIndex1) | v911(constB6) | (~v19(constB6, bitIndex0)))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3382,plain,
% 4.17/4.36 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB6, bitIndex1) | v911(constB6) | (~v19(constB6, bitIndex0))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3381, 3380])).
% 4.17/4.36 tff(3383,plain,
% 4.17/4.36 (v6(constB6, bitIndex1) | v911(constB6)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3382, 2111, 2123])).
% 4.17/4.36 tff(3384,plain,
% 4.17/4.36 ($false),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3383, 3379, 3366])).
% 4.17/4.36 tff(3385,plain,((~(constB5 = sK293_VarCurr)) | (~v19(constB6, bitIndex0)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.36 tff(3386,plain,
% 4.17/4.36 (~v19(constB6, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3385, 3345, 4])).
% 4.17/4.36 tff(3387,plain,
% 4.17/4.36 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB6, bitIndex0) | (~v918(constB6)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB6, bitIndex0) | (~v918(constB6)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3388,plain,
% 4.17/4.36 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB6, bitIndex0) | (~v918(constB6)))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3389,plain,
% 4.17/4.36 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB6, bitIndex0) | (~v918(constB6))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3388, 3387])).
% 4.17/4.36 tff(3390,plain,
% 4.17/4.36 (~v918(constB6)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3389, 645, 3362])).
% 4.17/4.36 tff(3391,plain,
% 4.17/4.36 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB6, bitIndex1) | v918(constB6) | (~v19(constB6, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB6, bitIndex1) | v918(constB6) | (~v19(constB6, bitIndex1)))),
% 4.17/4.36 inference(rewrite,[status(thm)],[])).
% 4.17/4.36 tff(3392,plain,
% 4.17/4.36 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB6, bitIndex1) | v918(constB6) | (~v19(constB6, bitIndex1)))),
% 4.17/4.36 inference(quant_inst,[status(thm)],[])).
% 4.17/4.36 tff(3393,plain,
% 4.17/4.36 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB6, bitIndex1) | v918(constB6) | (~v19(constB6, bitIndex1))),
% 4.17/4.36 inference(modus_ponens,[status(thm)],[3392, 3391])).
% 4.17/4.36 tff(3394,plain,
% 4.17/4.36 (~v19(constB6, bitIndex1)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3393, 747, 3379, 3390])).
% 4.17/4.36 tff(3395,plain,
% 4.17/4.36 (~v6(constB4, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1594, 3394, 3386])).
% 4.17/4.36 tff(3396,plain,
% 4.17/4.36 (~v6(constB3, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1617, 3395])).
% 4.17/4.36 tff(3397,plain,
% 4.17/4.36 (~v935(constB3)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1650, 3396])).
% 4.17/4.36 tff(3398,plain,
% 4.17/4.36 (~v933(constB2)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1655, 3397])).
% 4.17/4.36 tff(3399,plain,
% 4.17/4.36 (~v19(constB2, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1671, 3398])).
% 4.17/4.36 tff(3400,plain,
% 4.17/4.36 (~v911(constB2)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1675, 416, 3399])).
% 4.17/4.36 tff(3401,plain,
% 4.17/4.36 (v918(constB2)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[2027, 3400])).
% 4.17/4.36 tff(3402,plain,
% 4.17/4.36 (v19(constB2, bitIndex1)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1796, 539, 3401])).
% 4.17/4.36 tff(3403,plain,
% 4.17/4.36 (v16(constB2)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1669, 382, 3398])).
% 4.17/4.36 tff(3404,plain,
% 4.17/4.36 (v947(constB2) | (~v19(constB2, bitIndex1))),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1791, 400, 3403])).
% 4.17/4.36 tff(3405,plain,
% 4.17/4.36 (v947(constB2)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3404, 3402])).
% 4.17/4.36 tff(3406,plain,
% 4.17/4.36 (v949(constB3)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1784, 3405])).
% 4.17/4.36 tff(3407,plain,
% 4.17/4.36 (v6(constB3, bitIndex1)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1779, 3406])).
% 4.17/4.36 tff(3408,plain,
% 4.17/4.36 (v6(constB4, bitIndex1)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1750, 3407])).
% 4.17/4.36 tff(3409,plain,
% 4.17/4.36 (~v935(constB5)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1454, 3353])).
% 4.17/4.36 tff(3410,plain,
% 4.17/4.36 (~v933(constB4)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1459, 3409])).
% 4.17/4.36 tff(3411,plain,
% 4.17/4.36 (~v19(constB4, bitIndex0)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1707, 3410])).
% 4.17/4.36 tff(3412,plain,
% 4.17/4.36 ((~v6(constB4, bitIndex1)) | (~v702(constB4))),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1712, 663, 3411])).
% 4.17/4.36 tff(3413,plain,
% 4.17/4.36 (~v702(constB4)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[3412, 3408])).
% 4.17/4.36 tff(3414,plain,
% 4.17/4.36 (v16(constB4)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1463, 382, 3410])).
% 4.17/4.36 tff(3415,plain,
% 4.17/4.36 (~v949(constB5)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1558, 3370])).
% 4.17/4.36 tff(3416,plain,
% 4.17/4.36 (~v947(constB4)),
% 4.17/4.36 inference(unit_resolution,[status(thm)],[1529, 3415])).
% 4.17/4.37 tff(3417,plain,
% 4.17/4.37 (~v19(constB4, bitIndex1)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[1523, 400, 3416, 3414])).
% 4.17/4.37 tff(3418,plain,
% 4.17/4.37 (v702(constB4) | (~v6(constB4, bitIndex1))),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[1717, 679, 3417])).
% 4.17/4.37 tff(3419,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3418, 3413, 3408])).
% 4.17/4.37 tff(3420,plain,((~(constB5 = sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3421,plain,
% 4.17/4.37 (~(constB5 = sK293_VarCurr)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3420, 4])).
% 4.17/4.37 tff(3422,plain,
% 4.17/4.37 (~(constB14 = sK293_VarCurr)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[2587, 2182, 266])).
% 4.17/4.37 tff(3423,assumption,(~(constB6 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.37 tff(3424,assumption,(~(constB19 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.37 tff(3425,plain,
% 4.17/4.37 (~(constB20 = sK293_VarCurr)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3343, 2182, 266])).
% 4.17/4.37 tff(3426,assumption,(~(constB5 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.37 tff(3427,assumption,(~v16(constB6)), introduced(assumption)).
% 4.17/4.37 tff(3428,assumption,(v902(constB6, bitIndex3)), introduced(assumption)).
% 4.17/4.37 tff(3429,plain,
% 4.17/4.37 (^[B: $i, VarCurr: $i] : refl((v16(VarCurr) | (~v902(VarCurr, B))) <=> (v16(VarCurr) | (~v902(VarCurr, B))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3430,plain,
% 4.17/4.37 (![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B))) <=> ![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3429])).
% 4.17/4.37 tff(3431,plain,
% 4.17/4.37 (![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B))) <=> ![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3432,plain,
% 4.17/4.37 (^[B: $i, VarCurr: $i] : rewrite(((~v902(VarCurr, B)) | v16(VarCurr)) <=> (v16(VarCurr) | (~v902(VarCurr, B))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3433,plain,
% 4.17/4.37 (![B: $i, VarCurr: $i] : ((~v902(VarCurr, B)) | v16(VarCurr)) <=> ![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3432])).
% 4.17/4.37 tff(3434,axiom,(![B: $i, VarCurr: $i] : ((~v902(VarCurr, B)) | v16(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9957')).
% 4.17/4.37 tff(3435,plain,
% 4.17/4.37 (![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 4.17/4.37 tff(3436,plain,
% 4.17/4.37 (![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3435, 3431])).
% 4.17/4.37 tff(3437,plain,(
% 4.17/4.37 ![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))),
% 4.17/4.37 inference(skolemize,[status(sab)],[3436])).
% 4.17/4.37 tff(3438,plain,
% 4.17/4.37 (![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3437, 3430])).
% 4.17/4.37 tff(3439,plain,
% 4.17/4.37 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex3)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex3)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3440,plain,
% 4.17/4.37 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex3)))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3441,plain,
% 4.17/4.37 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex3))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3440, 3439])).
% 4.17/4.37 tff(3442,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3441, 3438, 3427, 3428])).
% 4.17/4.37 tff(3443,plain,((~v902(constB6, bitIndex3)) | v16(constB6)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3444,plain,
% 4.17/4.37 (~v902(constB6, bitIndex3)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3443, 3427])).
% 4.17/4.37 tff(3445,assumption,(v904(constB7, bitIndex3)), introduced(assumption)).
% 4.17/4.37 tff(3446,assumption,(~v902(constB6, bitIndex3)), introduced(assumption)).
% 4.17/4.37 tff(3447,plain,
% 4.17/4.37 (^[B: $i, VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B)) <=> ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B)))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3448,plain,
% 4.17/4.37 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B)) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3447])).
% 4.17/4.37 tff(3449,plain,
% 4.17/4.37 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B)) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3450,plain,
% 4.17/4.37 (^[B: $i, VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v902(VarCurr, B) | (~v904(VarNext, B))) <=> ((~v904(VarNext, B)) | v902(VarCurr, B))), (((v902(VarCurr, B) | (~v904(VarNext, B))) | (~nextState(VarCurr, VarNext))) <=> (((~v904(VarNext, B)) | v902(VarCurr, B)) | (~nextState(VarCurr, VarNext))))), rewrite((((~v904(VarNext, B)) | v902(VarCurr, B)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))), (((v902(VarCurr, B) | (~v904(VarNext, B))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3451,plain,
% 4.17/4.37 (![B: $i, VarNext: $i, VarCurr: $i] : ((v902(VarCurr, B) | (~v904(VarNext, B))) | (~nextState(VarCurr, VarNext))) <=> ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3450])).
% 4.17/4.37 tff(3452,axiom,(![B: $i, VarNext: $i, VarCurr: $i] : ((v902(VarCurr, B) | (~v904(VarNext, B))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9950')).
% 4.17/4.37 tff(3453,plain,
% 4.17/4.37 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3452, 3451])).
% 4.17/4.37 tff(3454,plain,
% 4.17/4.37 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3453, 3449])).
% 4.17/4.37 tff(3455,plain,(
% 4.17/4.37 ![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))),
% 4.17/4.37 inference(skolemize,[status(sab)],[3454])).
% 4.17/4.37 tff(3456,plain,
% 4.17/4.37 (![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3455, 3448])).
% 4.17/4.37 tff(3457,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex3)) | v902(constB6, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex3)) | v902(constB6, bitIndex3))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3458,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex3)) | v902(constB6, bitIndex3))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3459,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex3)) | v902(constB6, bitIndex3)),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3458, 3457])).
% 4.17/4.37 tff(3460,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3459, 3456, 114, 3446, 3445])).
% 4.17/4.37 tff(3461,plain,((~v904(constB7, bitIndex3)) | v902(constB6, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3462,plain,
% 4.17/4.37 (~v904(constB7, bitIndex3)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3461, 3444])).
% 4.17/4.37 tff(3463,assumption,(v25(constB7, bitIndex3)), introduced(assumption)).
% 4.17/4.37 tff(3464,assumption,(~v904(constB7, bitIndex3)), introduced(assumption)).
% 4.17/4.37 tff(3465,plain,
% 4.17/4.37 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3466,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3465])).
% 4.17/4.37 tff(3467,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3468,plain,
% 4.17/4.37 (^[VarNext: $i, VarCurr: $i] : rewrite(((v1(VarCurr) | (~v898(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3469,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v898(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3468])).
% 4.17/4.37 tff(3470,axiom,(![VarNext: $i, VarCurr: $i] : ((v1(VarCurr) | (~v898(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9974')).
% 4.17/4.37 tff(3471,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3470, 3469])).
% 4.17/4.37 tff(3472,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3471, 3467])).
% 4.17/4.37 tff(3473,plain,(
% 4.17/4.37 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))),
% 4.17/4.37 inference(skolemize,[status(sab)],[3472])).
% 4.17/4.37 tff(3474,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3473, 3466])).
% 4.17/4.37 tff(3475,plain,
% 4.17/4.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB6) | (~nextState(constB6, constB7)) | (~v898(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB6) | (~nextState(constB6, constB7)) | (~v898(constB7)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3476,plain,
% 4.17/4.37 (((~nextState(constB6, constB7)) | v1(constB6) | (~v898(constB7))) <=> (v1(constB6) | (~nextState(constB6, constB7)) | (~v898(constB7)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3477,plain,
% 4.17/4.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB6) | (~v898(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB6) | (~nextState(constB6, constB7)) | (~v898(constB7))))),
% 4.17/4.37 inference(monotonicity,[status(thm)],[3476])).
% 4.17/4.37 tff(3478,plain,
% 4.17/4.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB6) | (~v898(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB6) | (~nextState(constB6, constB7)) | (~v898(constB7)))),
% 4.17/4.37 inference(transitivity,[status(thm)],[3477, 3475])).
% 4.17/4.37 tff(3479,plain,
% 4.17/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB6, constB7)) | v1(constB6) | (~v898(constB7)))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3480,plain,
% 4.17/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB6) | (~nextState(constB6, constB7)) | (~v898(constB7))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3479, 3478])).
% 4.17/4.37 tff(3481,plain,
% 4.17/4.37 (~v898(constB7)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3480, 3474, 114, 111])).
% 4.17/4.37 tff(3482,plain,
% 4.17/4.37 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext)) <=> ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext)))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3483,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3482])).
% 4.17/4.37 tff(3484,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext)) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3485,plain,
% 4.17/4.37 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite((v898(VarNext) | v896(VarNext)) <=> (v896(VarNext) | v898(VarNext))), (((v898(VarNext) | v896(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((v896(VarNext) | v898(VarNext)) | (~nextState(VarCurr, VarNext))))), rewrite(((v896(VarNext) | v898(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))), (((v898(VarNext) | v896(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3486,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((v898(VarNext) | v896(VarNext)) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3485])).
% 4.17/4.37 tff(3487,axiom,(![VarNext: $i, VarCurr: $i] : ((v898(VarNext) | v896(VarNext)) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9970')).
% 4.17/4.37 tff(3488,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3487, 3486])).
% 4.17/4.37 tff(3489,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3488, 3484])).
% 4.17/4.37 tff(3490,plain,(
% 4.17/4.37 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))),
% 4.17/4.37 inference(skolemize,[status(sab)],[3489])).
% 4.17/4.37 tff(3491,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3490, 3483])).
% 4.17/4.37 tff(3492,plain,
% 4.17/4.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB6, constB7)) | v896(constB7) | v898(constB7))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB6, constB7)) | v896(constB7) | v898(constB7))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3493,plain,
% 4.17/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB6, constB7)) | v896(constB7) | v898(constB7))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3494,plain,
% 4.17/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB6, constB7)) | v896(constB7) | v898(constB7)),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3493, 3492])).
% 4.17/4.37 tff(3495,plain,
% 4.17/4.37 (v896(constB7) | v898(constB7)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3494, 3491, 114])).
% 4.17/4.37 tff(3496,plain,
% 4.17/4.37 (v896(constB7)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3495, 3481])).
% 4.17/4.37 tff(3497,plain,
% 4.17/4.37 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3498,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3497])).
% 4.17/4.37 tff(3499,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3500,plain,
% 4.17/4.37 (^[VarNext: $i, VarCurr: $i] : trans(monotonicity(rewrite(((v895(VarNext) | (~v896(VarNext))) | (~v1(VarNext))) <=> ((~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))), ((((v895(VarNext) | (~v896(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> (((~v1(VarNext)) | v895(VarNext) | (~v896(VarNext))) | (~nextState(VarCurr, VarNext))))), rewrite((((~v1(VarNext)) | v895(VarNext) | (~v896(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))), ((((v895(VarNext) | (~v896(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3501,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : (((v895(VarNext) | (~v896(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3500])).
% 4.17/4.37 tff(3502,axiom,(![VarNext: $i, VarCurr: $i] : (((v895(VarNext) | (~v896(VarNext))) | (~v1(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9967')).
% 4.17/4.37 tff(3503,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3502, 3501])).
% 4.17/4.37 tff(3504,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3503, 3499])).
% 4.17/4.37 tff(3505,plain,(
% 4.17/4.37 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))),
% 4.17/4.37 inference(skolemize,[status(sab)],[3504])).
% 4.17/4.37 tff(3506,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3505, 3498])).
% 4.17/4.37 tff(3507,plain,
% 4.17/4.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB6, constB7)) | (~v1(constB7)) | v895(constB7) | (~v896(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB6, constB7)) | (~v1(constB7)) | v895(constB7) | (~v896(constB7)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3508,plain,
% 4.17/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB6, constB7)) | (~v1(constB7)) | v895(constB7) | (~v896(constB7)))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3509,plain,
% 4.17/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB6, constB7)) | (~v1(constB7)) | v895(constB7) | (~v896(constB7))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3508, 3507])).
% 4.17/4.37 tff(3510,plain,
% 4.17/4.37 (v895(constB7) | (~v896(constB7))),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3509, 3506, 114, 121])).
% 4.17/4.37 tff(3511,plain,
% 4.17/4.37 (v895(constB7)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3510, 3496])).
% 4.17/4.37 tff(3512,plain,
% 4.17/4.37 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3513,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3512])).
% 4.17/4.37 tff(3514,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3515,plain,
% 4.17/4.37 (^[VarNext: $i, VarCurr: $i] : rewrite(((v894(VarNext) | (~v895(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3516,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((v894(VarNext) | (~v895(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3515])).
% 4.17/4.37 tff(3517,axiom,(![VarNext: $i, VarCurr: $i] : ((v894(VarNext) | (~v895(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9961')).
% 4.17/4.37 tff(3518,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3517, 3516])).
% 4.17/4.37 tff(3519,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3518, 3514])).
% 4.17/4.37 tff(3520,plain,(
% 4.17/4.37 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))),
% 4.17/4.37 inference(skolemize,[status(sab)],[3519])).
% 4.17/4.37 tff(3521,plain,
% 4.17/4.37 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3520, 3513])).
% 4.17/4.37 tff(3522,plain,
% 4.17/4.37 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB6, constB7)) | v894(constB7) | (~v895(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB6, constB7)) | v894(constB7) | (~v895(constB7)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3523,plain,
% 4.17/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB6, constB7)) | v894(constB7) | (~v895(constB7)))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3524,plain,
% 4.17/4.37 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB6, constB7)) | v894(constB7) | (~v895(constB7))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3523, 3522])).
% 4.17/4.37 tff(3525,plain,
% 4.17/4.37 (v894(constB7) | (~v895(constB7))),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3524, 3521, 114])).
% 4.17/4.37 tff(3526,plain,
% 4.17/4.37 (v894(constB7)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3525, 3511])).
% 4.17/4.37 tff(3527,plain,
% 4.17/4.37 (^[B: $i, VarNext: $i] : refl(((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B)) <=> ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B)))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3528,plain,
% 4.17/4.37 (![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B)) <=> ![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3527])).
% 4.17/4.37 tff(3529,plain,
% 4.17/4.37 (![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B)) <=> ![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3530,plain,
% 4.17/4.37 (^[B: $i, VarNext: $i] : trans(monotonicity(rewrite((v904(VarNext, B) | (~v25(VarNext, B))) <=> ((~v25(VarNext, B)) | v904(VarNext, B))), (((v904(VarNext, B) | (~v25(VarNext, B))) | (~v894(VarNext))) <=> (((~v25(VarNext, B)) | v904(VarNext, B)) | (~v894(VarNext))))), rewrite((((~v25(VarNext, B)) | v904(VarNext, B)) | (~v894(VarNext))) <=> ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))), (((v904(VarNext, B) | (~v25(VarNext, B))) | (~v894(VarNext))) <=> ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))))),
% 4.17/4.37 inference(bind,[status(th)],[])).
% 4.17/4.37 tff(3531,plain,
% 4.17/4.37 (![B: $i, VarNext: $i] : ((v904(VarNext, B) | (~v25(VarNext, B))) | (~v894(VarNext))) <=> ![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))),
% 4.17/4.37 inference(quant_intro,[status(thm)],[3530])).
% 4.17/4.37 tff(3532,axiom,(![B: $i, VarNext: $i] : ((v904(VarNext, B) | (~v25(VarNext, B))) | (~v894(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9946')).
% 4.17/4.37 tff(3533,plain,
% 4.17/4.37 (![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3532, 3531])).
% 4.17/4.37 tff(3534,plain,
% 4.17/4.37 (![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3533, 3529])).
% 4.17/4.37 tff(3535,plain,(
% 4.17/4.37 ![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))),
% 4.17/4.37 inference(skolemize,[status(sab)],[3534])).
% 4.17/4.37 tff(3536,plain,
% 4.17/4.37 (![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3535, 3528])).
% 4.17/4.37 tff(3537,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex3)) | v904(constB7, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex3)) | v904(constB7, bitIndex3))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3538,plain,
% 4.17/4.37 (((~v25(constB7, bitIndex3)) | (~v894(constB7)) | v904(constB7, bitIndex3)) <=> ((~v894(constB7)) | (~v25(constB7, bitIndex3)) | v904(constB7, bitIndex3))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3539,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex3)) | (~v894(constB7)) | v904(constB7, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex3)) | v904(constB7, bitIndex3)))),
% 4.17/4.37 inference(monotonicity,[status(thm)],[3538])).
% 4.17/4.37 tff(3540,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex3)) | (~v894(constB7)) | v904(constB7, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex3)) | v904(constB7, bitIndex3))),
% 4.17/4.37 inference(transitivity,[status(thm)],[3539, 3537])).
% 4.17/4.37 tff(3541,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex3)) | (~v894(constB7)) | v904(constB7, bitIndex3))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3542,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex3)) | v904(constB7, bitIndex3)),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3541, 3540])).
% 4.17/4.37 tff(3543,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3542, 3536, 3526, 3464, 3463])).
% 4.17/4.37 tff(3544,plain,((~v25(constB7, bitIndex3)) | v904(constB7, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3545,plain,
% 4.17/4.37 (~v25(constB7, bitIndex3)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3544, 3462])).
% 4.17/4.37 tff(3546,assumption,(v902(constB6, bitIndex2)), introduced(assumption)).
% 4.17/4.37 tff(3547,plain,
% 4.17/4.37 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex2)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3548,plain,
% 4.17/4.37 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex2)))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3549,plain,
% 4.17/4.37 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex2))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3548, 3547])).
% 4.17/4.37 tff(3550,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3549, 3438, 3427, 3546])).
% 4.17/4.37 tff(3551,plain,((~v902(constB6, bitIndex2)) | v16(constB6)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3552,plain,
% 4.17/4.37 (~v902(constB6, bitIndex2)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3551, 3427])).
% 4.17/4.37 tff(3553,assumption,(v904(constB7, bitIndex2)), introduced(assumption)).
% 4.17/4.37 tff(3554,assumption,(~v902(constB6, bitIndex2)), introduced(assumption)).
% 4.17/4.37 tff(3555,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex2)) | v902(constB6, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex2)) | v902(constB6, bitIndex2))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3556,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex2)) | v902(constB6, bitIndex2))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3557,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex2)) | v902(constB6, bitIndex2)),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3556, 3555])).
% 4.17/4.37 tff(3558,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3557, 3456, 114, 3554, 3553])).
% 4.17/4.37 tff(3559,plain,((~v904(constB7, bitIndex2)) | v902(constB6, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3560,plain,
% 4.17/4.37 (~v904(constB7, bitIndex2)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3559, 3552])).
% 4.17/4.37 tff(3561,assumption,(v25(constB7, bitIndex2)), introduced(assumption)).
% 4.17/4.37 tff(3562,assumption,(~v904(constB7, bitIndex2)), introduced(assumption)).
% 4.17/4.37 tff(3563,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex2)) | v904(constB7, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex2)) | v904(constB7, bitIndex2))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3564,plain,
% 4.17/4.37 (((~v25(constB7, bitIndex2)) | (~v894(constB7)) | v904(constB7, bitIndex2)) <=> ((~v894(constB7)) | (~v25(constB7, bitIndex2)) | v904(constB7, bitIndex2))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3565,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex2)) | (~v894(constB7)) | v904(constB7, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex2)) | v904(constB7, bitIndex2)))),
% 4.17/4.37 inference(monotonicity,[status(thm)],[3564])).
% 4.17/4.37 tff(3566,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex2)) | (~v894(constB7)) | v904(constB7, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex2)) | v904(constB7, bitIndex2))),
% 4.17/4.37 inference(transitivity,[status(thm)],[3565, 3563])).
% 4.17/4.37 tff(3567,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex2)) | (~v894(constB7)) | v904(constB7, bitIndex2))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3568,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex2)) | v904(constB7, bitIndex2)),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3567, 3566])).
% 4.17/4.37 tff(3569,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3568, 3536, 3526, 3562, 3561])).
% 4.17/4.37 tff(3570,plain,((~v25(constB7, bitIndex2)) | v904(constB7, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3571,plain,
% 4.17/4.37 (~v25(constB7, bitIndex2)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3570, 3560])).
% 4.17/4.37 tff(3572,assumption,(v902(constB6, bitIndex0)), introduced(assumption)).
% 4.17/4.37 tff(3573,plain,
% 4.17/4.37 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex0)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3574,plain,
% 4.17/4.37 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex0)))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3575,plain,
% 4.17/4.37 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex0))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3574, 3573])).
% 4.17/4.37 tff(3576,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3575, 3438, 3427, 3572])).
% 4.17/4.37 tff(3577,plain,((~v902(constB6, bitIndex0)) | v16(constB6)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3578,plain,
% 4.17/4.37 (~v902(constB6, bitIndex0)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3577, 3427])).
% 4.17/4.37 tff(3579,assumption,(v904(constB7, bitIndex0)), introduced(assumption)).
% 4.17/4.37 tff(3580,assumption,(~v902(constB6, bitIndex0)), introduced(assumption)).
% 4.17/4.37 tff(3581,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex0)) | v902(constB6, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex0)) | v902(constB6, bitIndex0))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3582,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex0)) | v902(constB6, bitIndex0))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3583,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex0)) | v902(constB6, bitIndex0)),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3582, 3581])).
% 4.17/4.37 tff(3584,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3583, 3456, 114, 3580, 3579])).
% 4.17/4.37 tff(3585,plain,((~v904(constB7, bitIndex0)) | v902(constB6, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3586,plain,
% 4.17/4.37 (~v904(constB7, bitIndex0)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3585, 3578])).
% 4.17/4.37 tff(3587,assumption,(v25(constB7, bitIndex0)), introduced(assumption)).
% 4.17/4.37 tff(3588,assumption,(~v904(constB7, bitIndex0)), introduced(assumption)).
% 4.17/4.37 tff(3589,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex0)) | v904(constB7, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex0)) | v904(constB7, bitIndex0))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3590,plain,
% 4.17/4.37 (((~v25(constB7, bitIndex0)) | (~v894(constB7)) | v904(constB7, bitIndex0)) <=> ((~v894(constB7)) | (~v25(constB7, bitIndex0)) | v904(constB7, bitIndex0))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3591,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex0)) | (~v894(constB7)) | v904(constB7, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex0)) | v904(constB7, bitIndex0)))),
% 4.17/4.37 inference(monotonicity,[status(thm)],[3590])).
% 4.17/4.37 tff(3592,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex0)) | (~v894(constB7)) | v904(constB7, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex0)) | v904(constB7, bitIndex0))),
% 4.17/4.37 inference(transitivity,[status(thm)],[3591, 3589])).
% 4.17/4.37 tff(3593,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex0)) | (~v894(constB7)) | v904(constB7, bitIndex0))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3594,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex0)) | v904(constB7, bitIndex0)),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3593, 3592])).
% 4.17/4.37 tff(3595,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3594, 3536, 3526, 3588, 3587])).
% 4.17/4.37 tff(3596,plain,((~v25(constB7, bitIndex0)) | v904(constB7, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3597,plain,
% 4.17/4.37 (~v25(constB7, bitIndex0)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3596, 3586])).
% 4.17/4.37 tff(3598,assumption,(v902(constB6, bitIndex4)), introduced(assumption)).
% 4.17/4.37 tff(3599,plain,
% 4.17/4.37 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex4)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex4)))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3600,plain,
% 4.17/4.37 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex4)))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3601,plain,
% 4.17/4.37 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex4))),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3600, 3599])).
% 4.17/4.37 tff(3602,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3601, 3438, 3427, 3598])).
% 4.17/4.37 tff(3603,plain,((~v902(constB6, bitIndex4)) | v16(constB6)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3604,plain,
% 4.17/4.37 (~v902(constB6, bitIndex4)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3603, 3427])).
% 4.17/4.37 tff(3605,assumption,(v904(constB7, bitIndex4)), introduced(assumption)).
% 4.17/4.37 tff(3606,assumption,(~v902(constB6, bitIndex4)), introduced(assumption)).
% 4.17/4.37 tff(3607,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex4)) | v902(constB6, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex4)) | v902(constB6, bitIndex4))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3608,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex4)) | v902(constB6, bitIndex4))),
% 4.17/4.37 inference(quant_inst,[status(thm)],[])).
% 4.17/4.37 tff(3609,plain,
% 4.17/4.37 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex4)) | v902(constB6, bitIndex4)),
% 4.17/4.37 inference(modus_ponens,[status(thm)],[3608, 3607])).
% 4.17/4.37 tff(3610,plain,
% 4.17/4.37 ($false),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3609, 3456, 114, 3606, 3605])).
% 4.17/4.37 tff(3611,plain,((~v904(constB7, bitIndex4)) | v902(constB6, bitIndex4)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.37 tff(3612,plain,
% 4.17/4.37 (~v904(constB7, bitIndex4)),
% 4.17/4.37 inference(unit_resolution,[status(thm)],[3611, 3604])).
% 4.17/4.37 tff(3613,assumption,(v25(constB7, bitIndex4)), introduced(assumption)).
% 4.17/4.37 tff(3614,assumption,(~v904(constB7, bitIndex4)), introduced(assumption)).
% 4.17/4.37 tff(3615,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex4)) | v904(constB7, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex4)) | v904(constB7, bitIndex4))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3616,plain,
% 4.17/4.37 (((~v25(constB7, bitIndex4)) | (~v894(constB7)) | v904(constB7, bitIndex4)) <=> ((~v894(constB7)) | (~v25(constB7, bitIndex4)) | v904(constB7, bitIndex4))),
% 4.17/4.37 inference(rewrite,[status(thm)],[])).
% 4.17/4.37 tff(3617,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex4)) | (~v894(constB7)) | v904(constB7, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex4)) | v904(constB7, bitIndex4)))),
% 4.17/4.37 inference(monotonicity,[status(thm)],[3616])).
% 4.17/4.37 tff(3618,plain,
% 4.17/4.37 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex4)) | (~v894(constB7)) | v904(constB7, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex4)) | v904(constB7, bitIndex4))),
% 4.17/4.38 inference(transitivity,[status(thm)],[3617, 3615])).
% 4.17/4.38 tff(3619,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex4)) | (~v894(constB7)) | v904(constB7, bitIndex4))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3620,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex4)) | v904(constB7, bitIndex4)),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3619, 3618])).
% 4.17/4.38 tff(3621,plain,
% 4.17/4.38 ($false),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3620, 3536, 3526, 3614, 3613])).
% 4.17/4.38 tff(3622,plain,((~v25(constB7, bitIndex4)) | v904(constB7, bitIndex4)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.38 tff(3623,plain,
% 4.17/4.38 (~v25(constB7, bitIndex4)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3622, 3612])).
% 4.17/4.38 tff(3624,assumption,(v902(constB6, bitIndex1)), introduced(assumption)).
% 4.17/4.38 tff(3625,plain,
% 4.17/4.38 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex1)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3626,plain,
% 4.17/4.38 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB6) | (~v902(constB6, bitIndex1)))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3627,plain,
% 4.17/4.38 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB6) | (~v902(constB6, bitIndex1))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3626, 3625])).
% 4.17/4.38 tff(3628,plain,
% 4.17/4.38 ($false),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3627, 3438, 3427, 3624])).
% 4.17/4.38 tff(3629,plain,((~v902(constB6, bitIndex1)) | v16(constB6)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.38 tff(3630,plain,
% 4.17/4.38 (~v902(constB6, bitIndex1)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3629, 3427])).
% 4.17/4.38 tff(3631,assumption,(v904(constB7, bitIndex1)), introduced(assumption)).
% 4.17/4.38 tff(3632,assumption,(~v902(constB6, bitIndex1)), introduced(assumption)).
% 4.17/4.38 tff(3633,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex1)) | v902(constB6, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex1)) | v902(constB6, bitIndex1))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3634,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB6, constB7)) | (~v904(constB7, bitIndex1)) | v902(constB6, bitIndex1))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3635,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB6, constB7)) | (~v904(constB7, bitIndex1)) | v902(constB6, bitIndex1)),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3634, 3633])).
% 4.17/4.38 tff(3636,plain,
% 4.17/4.38 ($false),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3635, 3456, 114, 3632, 3631])).
% 4.17/4.38 tff(3637,plain,((~v904(constB7, bitIndex1)) | v902(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.38 tff(3638,plain,
% 4.17/4.38 (~v904(constB7, bitIndex1)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3637, 3630])).
% 4.17/4.38 tff(3639,assumption,(~v904(constB7, bitIndex1)), introduced(assumption)).
% 4.17/4.38 tff(3640,assumption,(v25(constB7, bitIndex1)), introduced(assumption)).
% 4.17/4.38 tff(3641,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex1)) | v904(constB7, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex1)) | v904(constB7, bitIndex1))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3642,plain,
% 4.17/4.38 (((~v25(constB7, bitIndex1)) | (~v894(constB7)) | v904(constB7, bitIndex1)) <=> ((~v894(constB7)) | (~v25(constB7, bitIndex1)) | v904(constB7, bitIndex1))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3643,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex1)) | (~v894(constB7)) | v904(constB7, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB7)) | (~v25(constB7, bitIndex1)) | v904(constB7, bitIndex1)))),
% 4.17/4.38 inference(monotonicity,[status(thm)],[3642])).
% 4.17/4.38 tff(3644,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex1)) | (~v894(constB7)) | v904(constB7, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex1)) | v904(constB7, bitIndex1))),
% 4.17/4.38 inference(transitivity,[status(thm)],[3643, 3641])).
% 4.17/4.38 tff(3645,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB7, bitIndex1)) | (~v894(constB7)) | v904(constB7, bitIndex1))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3646,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB7)) | (~v25(constB7, bitIndex1)) | v904(constB7, bitIndex1)),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3645, 3644])).
% 4.17/4.38 tff(3647,plain,
% 4.17/4.38 ($false),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3646, 3536, 3526, 3640, 3639])).
% 4.17/4.38 tff(3648,plain,((~v25(constB7, bitIndex1)) | v904(constB7, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.38 tff(3649,plain,
% 4.17/4.38 (~v25(constB7, bitIndex1)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3648, 3638])).
% 4.17/4.38 tff(3650,assumption,(v814(constB7)), introduced(assumption)).
% 4.17/4.38 tff(3651,plain,
% 4.17/4.38 (^[VarCurr: $i] : refl(((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) <=> ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)))),
% 4.17/4.38 inference(bind,[status(th)],[])).
% 4.17/4.38 tff(3652,plain,
% 4.17/4.38 (![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) <=> ![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))),
% 4.17/4.38 inference(quant_intro,[status(thm)],[3651])).
% 4.17/4.38 tff(3653,plain,
% 4.17/4.38 (![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) <=> ![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3654,plain,
% 4.17/4.38 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~v814(VarCurr)) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) <=> ((~v814(VarCurr)) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))), (((((~v814(VarCurr)) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) <=> (((~v814(VarCurr)) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex2)))), rewrite((((~v814(VarCurr)) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex2)) <=> ((~v814(VarCurr)) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))), (((((~v814(VarCurr)) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) <=> ((~v814(VarCurr)) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)))), ((((((~v814(VarCurr)) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) <=> (((~v814(VarCurr)) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex0)))), rewrite((((~v814(VarCurr)) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex0)) <=> ((~v814(VarCurr)) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))), ((((((~v814(VarCurr)) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) <=> ((~v814(VarCurr)) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)))), (((((((~v814(VarCurr)) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) <=> (((~v814(VarCurr)) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex1)))), rewrite((((~v814(VarCurr)) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex1)) <=> ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))), (((((((~v814(VarCurr)) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) <=> ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))))),
% 4.17/4.38 inference(bind,[status(th)],[])).
% 4.17/4.38 tff(3655,plain,
% 4.17/4.38 (![VarCurr: $i] : ((((((~v814(VarCurr)) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) <=> ![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))),
% 4.17/4.38 inference(quant_intro,[status(thm)],[3654])).
% 4.17/4.38 tff(3656,axiom,(![VarCurr: $i] : ((((((~v814(VarCurr)) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10195')).
% 4.17/4.38 tff(3657,plain,
% 4.17/4.38 (![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3656, 3655])).
% 4.17/4.38 tff(3658,plain,
% 4.17/4.38 (![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3657, 3653])).
% 4.17/4.38 tff(3659,plain,(
% 4.17/4.38 ![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))),
% 4.17/4.38 inference(skolemize,[status(sab)],[3658])).
% 4.17/4.38 tff(3660,plain,
% 4.17/4.38 (![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3659, 3652])).
% 4.17/4.38 tff(3661,plain,
% 4.17/4.38 (((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | (v25(constB7, bitIndex4) | v25(constB7, bitIndex3) | v25(constB7, bitIndex2) | v25(constB7, bitIndex0) | v25(constB7, bitIndex1) | (~v814(constB7)))) <=> ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | v25(constB7, bitIndex4) | v25(constB7, bitIndex3) | v25(constB7, bitIndex2) | v25(constB7, bitIndex0) | v25(constB7, bitIndex1) | (~v814(constB7)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3662,plain,
% 4.17/4.38 (((~v814(constB7)) | v25(constB7, bitIndex1) | v25(constB7, bitIndex0) | v25(constB7, bitIndex2) | v25(constB7, bitIndex3) | v25(constB7, bitIndex4)) <=> (v25(constB7, bitIndex4) | v25(constB7, bitIndex3) | v25(constB7, bitIndex2) | v25(constB7, bitIndex0) | v25(constB7, bitIndex1) | (~v814(constB7)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3663,plain,
% 4.17/4.38 (((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | ((~v814(constB7)) | v25(constB7, bitIndex1) | v25(constB7, bitIndex0) | v25(constB7, bitIndex2) | v25(constB7, bitIndex3) | v25(constB7, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | (v25(constB7, bitIndex4) | v25(constB7, bitIndex3) | v25(constB7, bitIndex2) | v25(constB7, bitIndex0) | v25(constB7, bitIndex1) | (~v814(constB7))))),
% 4.17/4.38 inference(monotonicity,[status(thm)],[3662])).
% 4.17/4.38 tff(3664,plain,
% 4.17/4.38 (((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | ((~v814(constB7)) | v25(constB7, bitIndex1) | v25(constB7, bitIndex0) | v25(constB7, bitIndex2) | v25(constB7, bitIndex3) | v25(constB7, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | v25(constB7, bitIndex4) | v25(constB7, bitIndex3) | v25(constB7, bitIndex2) | v25(constB7, bitIndex0) | v25(constB7, bitIndex1) | (~v814(constB7)))),
% 4.17/4.38 inference(transitivity,[status(thm)],[3663, 3661])).
% 4.17/4.38 tff(3665,plain,
% 4.17/4.38 ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | ((~v814(constB7)) | v25(constB7, bitIndex1) | v25(constB7, bitIndex0) | v25(constB7, bitIndex2) | v25(constB7, bitIndex3) | v25(constB7, bitIndex4))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3666,plain,
% 4.17/4.38 ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | v25(constB7, bitIndex4) | v25(constB7, bitIndex3) | v25(constB7, bitIndex2) | v25(constB7, bitIndex0) | v25(constB7, bitIndex1) | (~v814(constB7))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3665, 3664])).
% 4.17/4.38 tff(3667,plain,
% 4.17/4.38 (v25(constB7, bitIndex4) | v25(constB7, bitIndex3) | v25(constB7, bitIndex2) | v25(constB7, bitIndex0) | v25(constB7, bitIndex1)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3666, 3660, 3650])).
% 4.17/4.38 tff(3668,plain,
% 4.17/4.38 ($false),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3667, 3649, 3623, 3597, 3571, 3545])).
% 4.17/4.38 tff(3669,plain,(v16(constB6) | (~v814(constB7))), inference(lemma,lemma(discharge,[]))).
% 4.17/4.38 tff(3670,plain,
% 4.17/4.38 (~v814(constB7)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3669, 3427])).
% 4.17/4.38 tff(3671,plain,
% 4.17/4.38 (v933(constB6)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[1320, 382, 3427])).
% 4.17/4.38 tff(3672,plain,
% 4.17/4.38 (v935(constB7)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[1230, 3671])).
% 4.17/4.38 tff(3673,plain,
% 4.17/4.38 (v6(constB7, bitIndex0)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[1225, 3672])).
% 4.17/4.38 tff(3674,plain,
% 4.17/4.38 (v6(constB8, bitIndex0)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[1192, 3673])).
% 4.17/4.38 tff(3675,assumption,(~v814(constB7)), introduced(assumption)).
% 4.17/4.38 tff(3676,plain,
% 4.17/4.38 (^[VarCurr: $i] : refl((v814(VarCurr) | (~v25(VarCurr, bitIndex2))) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex2))))),
% 4.17/4.38 inference(bind,[status(th)],[])).
% 4.17/4.38 tff(3677,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))),
% 4.17/4.38 inference(quant_intro,[status(thm)],[3676])).
% 4.17/4.38 tff(3678,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3679,plain,
% 4.17/4.38 (^[VarCurr: $i] : rewrite(((~v25(VarCurr, bitIndex2)) | v814(VarCurr)) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex2))))),
% 4.17/4.38 inference(bind,[status(th)],[])).
% 4.17/4.38 tff(3680,plain,
% 4.17/4.38 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | v814(VarCurr)) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))),
% 4.17/4.38 inference(quant_intro,[status(thm)],[3679])).
% 4.17/4.38 tff(3681,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | v814(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10192')).
% 4.17/4.38 tff(3682,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3681, 3680])).
% 4.17/4.38 tff(3683,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3682, 3678])).
% 4.17/4.38 tff(3684,plain,(
% 4.17/4.38 ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))),
% 4.17/4.38 inference(skolemize,[status(sab)],[3683])).
% 4.17/4.38 tff(3685,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3684, 3677])).
% 4.17/4.38 tff(3686,plain,
% 4.17/4.38 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))) | (v814(constB7) | (~v25(constB7, bitIndex2)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))) | v814(constB7) | (~v25(constB7, bitIndex2)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3687,plain,
% 4.17/4.38 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))) | (v814(constB7) | (~v25(constB7, bitIndex2)))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3688,plain,
% 4.17/4.38 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))) | v814(constB7) | (~v25(constB7, bitIndex2))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3687, 3686])).
% 4.17/4.38 tff(3689,plain,
% 4.17/4.38 (~v25(constB7, bitIndex2)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3688, 3685, 3675])).
% 4.17/4.38 tff(3690,assumption,(v25(constB8, bitIndex2)), introduced(assumption)).
% 4.17/4.38 tff(3691,assumption,(~v25(constB7, bitIndex2)), introduced(assumption)).
% 4.17/4.38 tff(3692,plain,
% 4.17/4.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB7, constB8)) | v1(constB8) | (~v895(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB7, constB8)) | v1(constB8) | (~v895(constB8)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3693,plain,
% 4.17/4.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB7, constB8)) | v1(constB8) | (~v895(constB8)))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3694,plain,
% 4.17/4.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB7, constB8)) | v1(constB8) | (~v895(constB8))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3693, 3692])).
% 4.17/4.38 tff(3695,plain,
% 4.17/4.38 (~v895(constB8)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3694, 1061, 124, 131])).
% 4.17/4.38 tff(3696,plain,
% 4.17/4.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB7, constB8)) | v895(constB8) | (~v894(constB8)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB7, constB8)) | v895(constB8) | (~v894(constB8)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3697,plain,
% 4.17/4.38 (((~nextState(constB7, constB8)) | (~v894(constB8)) | v895(constB8)) <=> ((~nextState(constB7, constB8)) | v895(constB8) | (~v894(constB8)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3698,plain,
% 4.17/4.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB7, constB8)) | (~v894(constB8)) | v895(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB7, constB8)) | v895(constB8) | (~v894(constB8))))),
% 4.17/4.38 inference(monotonicity,[status(thm)],[3697])).
% 4.17/4.38 tff(3699,plain,
% 4.17/4.38 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB7, constB8)) | (~v894(constB8)) | v895(constB8))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB7, constB8)) | v895(constB8) | (~v894(constB8)))),
% 4.17/4.38 inference(transitivity,[status(thm)],[3698, 3696])).
% 4.17/4.38 tff(3700,plain,
% 4.17/4.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB7, constB8)) | (~v894(constB8)) | v895(constB8))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3701,plain,
% 4.17/4.38 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB7, constB8)) | v895(constB8) | (~v894(constB8))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3700, 3699])).
% 4.17/4.38 tff(3702,plain,
% 4.17/4.38 (v895(constB8) | (~v894(constB8))),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3701, 1075, 124])).
% 4.17/4.38 tff(3703,plain,
% 4.17/4.38 (~v894(constB8)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3702, 3695])).
% 4.17/4.38 tff(3704,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex2) | (~v25(constB8, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex2) | (~v25(constB8, bitIndex2)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3705,plain,
% 4.17/4.38 (((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex2)) | v25(constB7, bitIndex2)) <=> ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex2) | (~v25(constB8, bitIndex2)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3706,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex2)) | v25(constB7, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex2) | (~v25(constB8, bitIndex2))))),
% 4.17/4.38 inference(monotonicity,[status(thm)],[3705])).
% 4.17/4.38 tff(3707,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex2)) | v25(constB7, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex2) | (~v25(constB8, bitIndex2)))),
% 4.17/4.38 inference(transitivity,[status(thm)],[3706, 3704])).
% 4.17/4.38 tff(3708,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex2)) | v25(constB7, bitIndex2))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3709,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex2) | (~v25(constB8, bitIndex2))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3708, 3707])).
% 4.17/4.38 tff(3710,plain,
% 4.17/4.38 ($false),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3709, 1093, 124, 3703, 3691, 3690])).
% 4.17/4.38 tff(3711,plain,((~v25(constB8, bitIndex2)) | v25(constB7, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.38 tff(3712,plain,
% 4.17/4.38 (~v25(constB8, bitIndex2)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3711, 3689])).
% 4.17/4.38 tff(3713,plain,
% 4.17/4.38 (^[VarCurr: $i] : refl((v814(VarCurr) | (~v25(VarCurr, bitIndex0))) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex0))))),
% 4.17/4.38 inference(bind,[status(th)],[])).
% 4.17/4.38 tff(3714,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))),
% 4.17/4.38 inference(quant_intro,[status(thm)],[3713])).
% 4.17/4.38 tff(3715,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3716,plain,
% 4.17/4.38 (^[VarCurr: $i] : rewrite(((~v25(VarCurr, bitIndex0)) | v814(VarCurr)) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex0))))),
% 4.17/4.38 inference(bind,[status(th)],[])).
% 4.17/4.38 tff(3717,plain,
% 4.17/4.38 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | v814(VarCurr)) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))),
% 4.17/4.38 inference(quant_intro,[status(thm)],[3716])).
% 4.17/4.38 tff(3718,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | v814(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10191')).
% 4.17/4.38 tff(3719,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3718, 3717])).
% 4.17/4.38 tff(3720,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3719, 3715])).
% 4.17/4.38 tff(3721,plain,(
% 4.17/4.38 ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))),
% 4.17/4.38 inference(skolemize,[status(sab)],[3720])).
% 4.17/4.38 tff(3722,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3721, 3714])).
% 4.17/4.38 tff(3723,plain,
% 4.17/4.38 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))) | (v814(constB7) | (~v25(constB7, bitIndex0)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))) | v814(constB7) | (~v25(constB7, bitIndex0)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3724,plain,
% 4.17/4.38 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))) | (v814(constB7) | (~v25(constB7, bitIndex0)))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3725,plain,
% 4.17/4.38 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))) | v814(constB7) | (~v25(constB7, bitIndex0))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3724, 3723])).
% 4.17/4.38 tff(3726,plain,
% 4.17/4.38 (~v25(constB7, bitIndex0)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3725, 3722, 3675])).
% 4.17/4.38 tff(3727,assumption,(v25(constB8, bitIndex0)), introduced(assumption)).
% 4.17/4.38 tff(3728,assumption,(~v25(constB7, bitIndex0)), introduced(assumption)).
% 4.17/4.38 tff(3729,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex0) | (~v25(constB8, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex0) | (~v25(constB8, bitIndex0)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3730,plain,
% 4.17/4.38 (((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex0)) | v25(constB7, bitIndex0)) <=> ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex0) | (~v25(constB8, bitIndex0)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3731,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex0)) | v25(constB7, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex0) | (~v25(constB8, bitIndex0))))),
% 4.17/4.38 inference(monotonicity,[status(thm)],[3730])).
% 4.17/4.38 tff(3732,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex0)) | v25(constB7, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex0) | (~v25(constB8, bitIndex0)))),
% 4.17/4.38 inference(transitivity,[status(thm)],[3731, 3729])).
% 4.17/4.38 tff(3733,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex0)) | v25(constB7, bitIndex0))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3734,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex0) | (~v25(constB8, bitIndex0))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3733, 3732])).
% 4.17/4.38 tff(3735,plain,
% 4.17/4.38 ($false),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3734, 1093, 124, 3703, 3728, 3727])).
% 4.17/4.38 tff(3736,plain,((~v25(constB8, bitIndex0)) | v25(constB7, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.38 tff(3737,plain,
% 4.17/4.38 (~v25(constB8, bitIndex0)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3736, 3726])).
% 4.17/4.38 tff(3738,plain,
% 4.17/4.38 (^[VarCurr: $i] : refl((v814(VarCurr) | (~v25(VarCurr, bitIndex4))) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex4))))),
% 4.17/4.38 inference(bind,[status(th)],[])).
% 4.17/4.38 tff(3739,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))),
% 4.17/4.38 inference(quant_intro,[status(thm)],[3738])).
% 4.17/4.38 tff(3740,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3741,plain,
% 4.17/4.38 (^[VarCurr: $i] : rewrite(((~v25(VarCurr, bitIndex4)) | v814(VarCurr)) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex4))))),
% 4.17/4.38 inference(bind,[status(th)],[])).
% 4.17/4.38 tff(3742,plain,
% 4.17/4.38 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | v814(VarCurr)) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))),
% 4.17/4.38 inference(quant_intro,[status(thm)],[3741])).
% 4.17/4.38 tff(3743,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | v814(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10194')).
% 4.17/4.38 tff(3744,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3743, 3742])).
% 4.17/4.38 tff(3745,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3744, 3740])).
% 4.17/4.38 tff(3746,plain,(
% 4.17/4.38 ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))),
% 4.17/4.38 inference(skolemize,[status(sab)],[3745])).
% 4.17/4.38 tff(3747,plain,
% 4.17/4.38 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3746, 3739])).
% 4.17/4.38 tff(3748,plain,
% 4.17/4.38 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))) | (v814(constB7) | (~v25(constB7, bitIndex4)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))) | v814(constB7) | (~v25(constB7, bitIndex4)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3749,plain,
% 4.17/4.38 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))) | (v814(constB7) | (~v25(constB7, bitIndex4)))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3750,plain,
% 4.17/4.38 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))) | v814(constB7) | (~v25(constB7, bitIndex4))),
% 4.17/4.38 inference(modus_ponens,[status(thm)],[3749, 3748])).
% 4.17/4.38 tff(3751,plain,
% 4.17/4.38 (~v25(constB7, bitIndex4)),
% 4.17/4.38 inference(unit_resolution,[status(thm)],[3750, 3747, 3675])).
% 4.17/4.38 tff(3752,assumption,(v25(constB8, bitIndex4)), introduced(assumption)).
% 4.17/4.38 tff(3753,assumption,(~v25(constB7, bitIndex4)), introduced(assumption)).
% 4.17/4.38 tff(3754,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex4) | (~v25(constB8, bitIndex4)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex4) | (~v25(constB8, bitIndex4)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3755,plain,
% 4.17/4.38 (((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex4)) | v25(constB7, bitIndex4)) <=> ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex4) | (~v25(constB8, bitIndex4)))),
% 4.17/4.38 inference(rewrite,[status(thm)],[])).
% 4.17/4.38 tff(3756,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex4)) | v25(constB7, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex4) | (~v25(constB8, bitIndex4))))),
% 4.17/4.38 inference(monotonicity,[status(thm)],[3755])).
% 4.17/4.38 tff(3757,plain,
% 4.17/4.38 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex4)) | v25(constB7, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex4) | (~v25(constB8, bitIndex4)))),
% 4.17/4.38 inference(transitivity,[status(thm)],[3756, 3754])).
% 4.17/4.38 tff(3758,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex4)) | v25(constB7, bitIndex4))),
% 4.17/4.38 inference(quant_inst,[status(thm)],[])).
% 4.17/4.38 tff(3759,plain,
% 4.17/4.38 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex4) | (~v25(constB8, bitIndex4))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3758, 3757])).
% 4.17/4.39 tff(3760,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3759, 1093, 124, 3703, 3753, 3752])).
% 4.17/4.39 tff(3761,plain,((~v25(constB8, bitIndex4)) | v25(constB7, bitIndex4)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3762,plain,
% 4.17/4.39 (~v25(constB8, bitIndex4)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3761, 3751])).
% 4.17/4.39 tff(3763,plain,
% 4.17/4.39 (^[VarCurr: $i] : refl((v814(VarCurr) | (~v25(VarCurr, bitIndex3))) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex3))))),
% 4.17/4.39 inference(bind,[status(th)],[])).
% 4.17/4.39 tff(3764,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))),
% 4.17/4.39 inference(quant_intro,[status(thm)],[3763])).
% 4.17/4.39 tff(3765,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))),
% 4.17/4.39 inference(rewrite,[status(thm)],[])).
% 4.17/4.39 tff(3766,plain,
% 4.17/4.39 (^[VarCurr: $i] : rewrite(((~v25(VarCurr, bitIndex3)) | v814(VarCurr)) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex3))))),
% 4.17/4.39 inference(bind,[status(th)],[])).
% 4.17/4.39 tff(3767,plain,
% 4.17/4.39 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | v814(VarCurr)) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))),
% 4.17/4.39 inference(quant_intro,[status(thm)],[3766])).
% 4.17/4.39 tff(3768,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | v814(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10193')).
% 4.17/4.39 tff(3769,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3768, 3767])).
% 4.17/4.39 tff(3770,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3769, 3765])).
% 4.17/4.39 tff(3771,plain,(
% 4.17/4.39 ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))),
% 4.17/4.39 inference(skolemize,[status(sab)],[3770])).
% 4.17/4.39 tff(3772,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3771, 3764])).
% 4.17/4.39 tff(3773,plain,
% 4.17/4.39 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))) | (v814(constB7) | (~v25(constB7, bitIndex3)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))) | v814(constB7) | (~v25(constB7, bitIndex3)))),
% 4.17/4.39 inference(rewrite,[status(thm)],[])).
% 4.17/4.39 tff(3774,plain,
% 4.17/4.39 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))) | (v814(constB7) | (~v25(constB7, bitIndex3)))),
% 4.17/4.39 inference(quant_inst,[status(thm)],[])).
% 4.17/4.39 tff(3775,plain,
% 4.17/4.39 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))) | v814(constB7) | (~v25(constB7, bitIndex3))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3774, 3773])).
% 4.17/4.39 tff(3776,plain,
% 4.17/4.39 (~v25(constB7, bitIndex3)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3775, 3772, 3675])).
% 4.17/4.39 tff(3777,assumption,(v25(constB8, bitIndex3)), introduced(assumption)).
% 4.17/4.39 tff(3778,assumption,(~v25(constB7, bitIndex3)), introduced(assumption)).
% 4.17/4.39 tff(3779,plain,
% 4.17/4.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex3) | (~v25(constB8, bitIndex3)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex3) | (~v25(constB8, bitIndex3)))),
% 4.17/4.39 inference(rewrite,[status(thm)],[])).
% 4.17/4.39 tff(3780,plain,
% 4.17/4.39 (((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex3)) | v25(constB7, bitIndex3)) <=> ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex3) | (~v25(constB8, bitIndex3)))),
% 4.17/4.39 inference(rewrite,[status(thm)],[])).
% 4.17/4.39 tff(3781,plain,
% 4.17/4.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex3)) | v25(constB7, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex3) | (~v25(constB8, bitIndex3))))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3780])).
% 4.17/4.39 tff(3782,plain,
% 4.17/4.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex3)) | v25(constB7, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex3) | (~v25(constB8, bitIndex3)))),
% 4.17/4.39 inference(transitivity,[status(thm)],[3781, 3779])).
% 4.17/4.39 tff(3783,plain,
% 4.17/4.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex3)) | v25(constB7, bitIndex3))),
% 4.17/4.39 inference(quant_inst,[status(thm)],[])).
% 4.17/4.39 tff(3784,plain,
% 4.17/4.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex3) | (~v25(constB8, bitIndex3))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3783, 3782])).
% 4.17/4.39 tff(3785,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3784, 1093, 124, 3703, 3778, 3777])).
% 4.17/4.39 tff(3786,plain,((~v25(constB8, bitIndex3)) | v25(constB7, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3787,plain,
% 4.17/4.39 (~v25(constB8, bitIndex3)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3786, 3776])).
% 4.17/4.39 tff(3788,plain,
% 4.17/4.39 (v25(constB8, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[1012, 3787, 964, 3762, 3737, 3712])).
% 4.17/4.39 tff(3789,plain,
% 4.17/4.39 (^[VarCurr: $i] : refl((v814(VarCurr) | (~v25(VarCurr, bitIndex1))) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex1))))),
% 4.17/4.39 inference(bind,[status(th)],[])).
% 4.17/4.39 tff(3790,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))),
% 4.17/4.39 inference(quant_intro,[status(thm)],[3789])).
% 4.17/4.39 tff(3791,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))),
% 4.17/4.39 inference(rewrite,[status(thm)],[])).
% 4.17/4.39 tff(3792,plain,
% 4.17/4.39 (^[VarCurr: $i] : rewrite(((~v25(VarCurr, bitIndex1)) | v814(VarCurr)) <=> (v814(VarCurr) | (~v25(VarCurr, bitIndex1))))),
% 4.17/4.39 inference(bind,[status(th)],[])).
% 4.17/4.39 tff(3793,plain,
% 4.17/4.39 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | v814(VarCurr)) <=> ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))),
% 4.17/4.39 inference(quant_intro,[status(thm)],[3792])).
% 4.17/4.39 tff(3794,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | v814(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10190')).
% 4.17/4.39 tff(3795,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3794, 3793])).
% 4.17/4.39 tff(3796,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3795, 3791])).
% 4.17/4.39 tff(3797,plain,(
% 4.17/4.39 ![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))),
% 4.17/4.39 inference(skolemize,[status(sab)],[3796])).
% 4.17/4.39 tff(3798,plain,
% 4.17/4.39 (![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3797, 3790])).
% 4.17/4.39 tff(3799,plain,
% 4.17/4.39 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))) | (v814(constB7) | (~v25(constB7, bitIndex1)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))) | v814(constB7) | (~v25(constB7, bitIndex1)))),
% 4.17/4.39 inference(rewrite,[status(thm)],[])).
% 4.17/4.39 tff(3800,plain,
% 4.17/4.39 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))) | (v814(constB7) | (~v25(constB7, bitIndex1)))),
% 4.17/4.39 inference(quant_inst,[status(thm)],[])).
% 4.17/4.39 tff(3801,plain,
% 4.17/4.39 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))) | v814(constB7) | (~v25(constB7, bitIndex1))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3800, 3799])).
% 4.17/4.39 tff(3802,plain,
% 4.17/4.39 (~v25(constB7, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3801, 3798, 3675])).
% 4.17/4.39 tff(3803,plain,
% 4.17/4.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex1) | (~v25(constB8, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex1) | (~v25(constB8, bitIndex1)))),
% 4.17/4.39 inference(rewrite,[status(thm)],[])).
% 4.17/4.39 tff(3804,plain,
% 4.17/4.39 (((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex1)) | v25(constB7, bitIndex1)) <=> ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex1) | (~v25(constB8, bitIndex1)))),
% 4.17/4.39 inference(rewrite,[status(thm)],[])).
% 4.17/4.39 tff(3805,plain,
% 4.17/4.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex1)) | v25(constB7, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex1) | (~v25(constB8, bitIndex1))))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3804])).
% 4.17/4.39 tff(3806,plain,
% 4.17/4.39 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex1)) | v25(constB7, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex1) | (~v25(constB8, bitIndex1)))),
% 4.17/4.39 inference(transitivity,[status(thm)],[3805, 3803])).
% 4.17/4.39 tff(3807,plain,
% 4.17/4.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB7, constB8)) | v894(constB8) | (~v25(constB8, bitIndex1)) | v25(constB7, bitIndex1))),
% 4.17/4.39 inference(quant_inst,[status(thm)],[])).
% 4.17/4.39 tff(3808,plain,
% 4.17/4.39 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB7, constB8)) | v894(constB8) | v25(constB7, bitIndex1) | (~v25(constB8, bitIndex1))),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[3807, 3806])).
% 4.17/4.39 tff(3809,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3808, 1093, 124, 3703, 3802, 3788])).
% 4.17/4.39 tff(3810,plain,(v814(constB7) | v911(constB8) | (~v6(constB8, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3811,plain,
% 4.17/4.39 (v911(constB8)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3810, 3674, 3670])).
% 4.17/4.39 tff(3812,plain,
% 4.17/4.39 (v19(constB8, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[1018, 416, 3811])).
% 4.17/4.39 tff(3813,plain,
% 4.17/4.39 (v933(constB8)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[1237, 3812])).
% 4.17/4.39 tff(3814,plain,
% 4.17/4.39 (v935(constB9)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[633, 3813])).
% 4.17/4.39 tff(3815,plain,
% 4.17/4.39 (v6(constB9, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[628, 3814])).
% 4.17/4.39 tff(3816,plain,
% 4.17/4.39 (v6(constB10, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[595, 3815])).
% 4.17/4.39 tff(3817,assumption,(constB10 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3818,plain,
% 4.17/4.39 (v6(constB10, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3817])).
% 4.17/4.39 tff(3819,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB10, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3818])).
% 4.17/4.39 tff(3820,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB10, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3819])).
% 4.17/4.39 tff(3821,plain,
% 4.17/4.39 (~v6(constB10, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3820])).
% 4.17/4.39 tff(3822,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[409, 3821])).
% 4.17/4.39 tff(3823,plain,((~(constB10 = sK293_VarCurr)) | (~v6(constB10, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3824,plain,
% 4.17/4.39 (~(constB10 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3823, 3816, 266])).
% 4.17/4.39 tff(3825,assumption,(~(constB20 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.39 tff(3826,assumption,(constB16 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3827,plain,
% 4.17/4.39 (v6(constB16, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3826])).
% 4.17/4.39 tff(3828,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB16, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3827])).
% 4.17/4.39 tff(3829,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB16, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3828])).
% 4.17/4.39 tff(3830,plain,
% 4.17/4.39 (~v6(constB16, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3829])).
% 4.17/4.39 tff(3831,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2871, 3830])).
% 4.17/4.39 tff(3832,plain,((~(constB16 = sK293_VarCurr)) | (~v6(constB16, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3833,plain,
% 4.17/4.39 (~v6(constB16, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3832, 3826, 266])).
% 4.17/4.39 tff(3834,plain,
% 4.17/4.39 (~v6(constB15, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2942, 3833])).
% 4.17/4.39 tff(3835,plain,
% 4.17/4.39 (~v935(constB15)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2975, 3834])).
% 4.17/4.39 tff(3836,plain,
% 4.17/4.39 (~v933(constB14)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2980, 3835])).
% 4.17/4.39 tff(3837,plain,
% 4.17/4.39 (v6(constB16, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3826])).
% 4.17/4.39 tff(3838,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB16, bitIndex1)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3837])).
% 4.17/4.39 tff(3839,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB16, bitIndex1))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3838])).
% 4.17/4.39 tff(3840,plain,
% 4.17/4.39 (~v6(constB16, bitIndex1)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[4, 3839])).
% 4.17/4.39 tff(3841,assumption,(v6(constB16, bitIndex1)), introduced(assumption)).
% 4.17/4.39 tff(3842,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3841, 3840])).
% 4.17/4.39 tff(3843,plain,((~(constB16 = sK293_VarCurr)) | (~v6(constB16, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3844,plain,
% 4.17/4.39 (~v6(constB16, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3843, 3826, 2321])).
% 4.17/4.39 tff(3845,plain,
% 4.17/4.39 (~v6(constB15, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3146, 3844])).
% 4.17/4.39 tff(3846,plain,
% 4.17/4.39 (~v949(constB15)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3125, 3845])).
% 4.17/4.39 tff(3847,plain,
% 4.17/4.39 (~v947(constB14)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3096, 3846])).
% 4.17/4.39 tff(3848,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3091, 3847, 3836, 2182])).
% 4.17/4.39 tff(3849,plain,((~(constB16 = sK293_VarCurr)) | (~v6(constB12, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3850,plain,
% 4.17/4.39 (~(constB16 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3849, 266, 2182])).
% 4.17/4.39 tff(3851,assumption,(constB15 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3852,plain,
% 4.17/4.39 (v6(constB15, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3851])).
% 4.17/4.39 tff(3853,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB15, bitIndex1)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3852])).
% 4.17/4.39 tff(3854,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB15, bitIndex1))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3853])).
% 4.17/4.39 tff(3855,plain,
% 4.17/4.39 (~v6(constB15, bitIndex1)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[4, 3854])).
% 4.17/4.39 tff(3856,assumption,(v6(constB15, bitIndex1)), introduced(assumption)).
% 4.17/4.39 tff(3857,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3856, 3855])).
% 4.17/4.39 tff(3858,plain,((~(constB15 = sK293_VarCurr)) | (~v6(constB15, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3859,plain,
% 4.17/4.39 (~v6(constB15, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3858, 3851, 2321])).
% 4.17/4.39 tff(3860,plain,
% 4.17/4.39 (~v949(constB15)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3125, 3859])).
% 4.17/4.39 tff(3861,plain,
% 4.17/4.39 (~v947(constB14)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3096, 3860])).
% 4.17/4.39 tff(3862,plain,
% 4.17/4.39 (v6(constB15, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3851])).
% 4.17/4.39 tff(3863,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB15, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3862])).
% 4.17/4.39 tff(3864,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB15, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3863])).
% 4.17/4.39 tff(3865,plain,
% 4.17/4.39 (~v6(constB15, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3864])).
% 4.17/4.39 tff(3866,assumption,(v6(constB15, bitIndex0)), introduced(assumption)).
% 4.17/4.39 tff(3867,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3866, 3865])).
% 4.17/4.39 tff(3868,plain,((~(constB15 = sK293_VarCurr)) | (~v6(constB15, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3869,plain,
% 4.17/4.39 (~v6(constB15, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3868, 3851, 266])).
% 4.17/4.39 tff(3870,plain,
% 4.17/4.39 (~v935(constB15)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2975, 3869])).
% 4.17/4.39 tff(3871,plain,
% 4.17/4.39 (~v933(constB14)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2980, 3870])).
% 4.17/4.39 tff(3872,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3091, 3871, 3861, 2182])).
% 4.17/4.39 tff(3873,plain,((~(constB15 = sK293_VarCurr)) | (~v6(constB12, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3874,plain,
% 4.17/4.39 (~(constB15 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3873, 266, 2182])).
% 4.17/4.39 tff(3875,assumption,(~(constB8 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.39 tff(3876,assumption,(~(constB10 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.39 tff(3877,assumption,(~(constB14 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.39 tff(3878,assumption,(~(constB16 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.39 tff(3879,assumption,(constB13 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3880,plain,
% 4.17/4.39 (v6(constB13, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3879])).
% 4.17/4.39 tff(3881,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB13, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3880])).
% 4.17/4.39 tff(3882,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB13, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3881])).
% 4.17/4.39 tff(3883,plain,
% 4.17/4.39 (~v6(constB13, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3882])).
% 4.17/4.39 tff(3884,assumption,(v6(constB13, bitIndex0)), introduced(assumption)).
% 4.17/4.39 tff(3885,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3884, 3883])).
% 4.17/4.39 tff(3886,plain,((~(constB13 = sK293_VarCurr)) | (~v6(constB13, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3887,plain,
% 4.17/4.39 (~v6(constB13, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3886, 3879, 266])).
% 4.17/4.39 tff(3888,plain,
% 4.17/4.39 (~v935(constB13)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2492, 3887])).
% 4.17/4.39 tff(3889,plain,
% 4.17/4.39 (~v933(constB12)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2497, 3888])).
% 4.17/4.39 tff(3890,plain,
% 4.17/4.39 (~v19(constB12, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2513, 3889])).
% 4.17/4.39 tff(3891,plain,
% 4.17/4.39 (~v911(constB12)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2517, 416, 3890])).
% 4.17/4.39 tff(3892,plain,
% 4.17/4.39 (v16(constB12)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2511, 382, 3889])).
% 4.17/4.39 tff(3893,plain,
% 4.17/4.39 (v6(constB13, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3879])).
% 4.17/4.39 tff(3894,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB13, bitIndex1)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3893])).
% 4.17/4.39 tff(3895,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB13, bitIndex1))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3894])).
% 4.17/4.39 tff(3896,plain,
% 4.17/4.39 (~v6(constB13, bitIndex1)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[4, 3895])).
% 4.17/4.39 tff(3897,assumption,(v6(constB13, bitIndex1)), introduced(assumption)).
% 4.17/4.39 tff(3898,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3897, 3896])).
% 4.17/4.39 tff(3899,plain,((~(constB13 = sK293_VarCurr)) | (~v6(constB13, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3900,plain,
% 4.17/4.39 (~v6(constB13, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3899, 3879, 2321])).
% 4.17/4.39 tff(3901,plain,
% 4.17/4.39 (~v949(constB13)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2432, 3900])).
% 4.17/4.39 tff(3902,plain,
% 4.17/4.39 (~v947(constB12)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2437, 3901])).
% 4.17/4.39 tff(3903,plain,
% 4.17/4.39 ((~v16(constB12)) | (~v19(constB12, bitIndex1))),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2526, 400, 3902])).
% 4.17/4.39 tff(3904,plain,
% 4.17/4.39 (~v19(constB12, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3903, 3892])).
% 4.17/4.39 tff(3905,plain,
% 4.17/4.39 (~v918(constB12)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2531, 539, 3904])).
% 4.17/4.39 tff(3906,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2583, 3905, 3891, 2182])).
% 4.17/4.39 tff(3907,plain,((~(constB13 = sK293_VarCurr)) | (~v6(constB12, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3908,plain,
% 4.17/4.39 (~(constB13 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3907, 266, 2182])).
% 4.17/4.39 tff(3909,assumption,(constB12 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3910,plain,
% 4.17/4.39 (v6(constB12, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3909])).
% 4.17/4.39 tff(3911,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB12, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3910])).
% 4.17/4.39 tff(3912,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB12, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3911])).
% 4.17/4.39 tff(3913,plain,
% 4.17/4.39 (~v6(constB12, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3912])).
% 4.17/4.39 tff(3914,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2182, 3913])).
% 4.17/4.39 tff(3915,plain,((~(constB12 = sK293_VarCurr)) | (~v6(constB12, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3916,plain,
% 4.17/4.39 (~(constB12 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3915, 266, 2182])).
% 4.17/4.39 tff(3917,assumption,(~(constB15 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.39 tff(3918,assumption,(v6(constB17, bitIndex0)), introduced(assumption)).
% 4.17/4.39 tff(3919,plain,
% 4.17/4.39 (v6(constB18, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3215, 3918])).
% 4.17/4.39 tff(3920,assumption,(v6(constB18, bitIndex0)), introduced(assumption)).
% 4.17/4.39 tff(3921,plain,
% 4.17/4.39 (~v6(constB19, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2596, 2589, 266])).
% 4.17/4.39 tff(3922,plain,
% 4.17/4.39 (~v935(constB19)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2679, 3921])).
% 4.17/4.39 tff(3923,plain,
% 4.17/4.39 (~v933(constB18)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2684, 3922])).
% 4.17/4.39 tff(3924,plain,
% 4.17/4.39 (~v19(constB18, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2756, 3923])).
% 4.17/4.39 tff(3925,plain,
% 4.17/4.39 (~v911(constB18)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3247, 416, 3924])).
% 4.17/4.39 tff(3926,assumption,(~v911(constB18)), introduced(assumption)).
% 4.17/4.39 tff(3927,assumption,(~v918(constB18)), introduced(assumption)).
% 4.17/4.39 tff(3928,plain,
% 4.17/4.39 (v918(constB18) | (~v25(constB18, bitIndex1))),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3222, 431, 3920])).
% 4.17/4.39 tff(3929,plain,
% 4.17/4.39 (~v25(constB18, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3928, 3927])).
% 4.17/4.39 tff(3930,plain,
% 4.17/4.39 (v918(constB18) | (~v25(constB18, bitIndex0))),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3236, 449, 3920])).
% 4.17/4.39 tff(3931,plain,
% 4.17/4.39 (~v25(constB18, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3930, 3927])).
% 4.17/4.39 tff(3932,plain,
% 4.17/4.39 (v918(constB18) | (~v25(constB18, bitIndex2))),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3243, 467, 3920])).
% 4.17/4.39 tff(3933,plain,
% 4.17/4.39 (~v25(constB18, bitIndex2)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3932, 3927])).
% 4.17/4.39 tff(3934,plain,
% 4.17/4.39 (v918(constB18) | (~v25(constB18, bitIndex4))),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3254, 485, 3920])).
% 4.17/4.39 tff(3935,plain,
% 4.17/4.39 (~v25(constB18, bitIndex4)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3934, 3927])).
% 4.17/4.39 tff(3936,plain,
% 4.17/4.39 (v918(constB18) | (~v25(constB18, bitIndex3))),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3229, 503, 3920])).
% 4.17/4.39 tff(3937,plain,
% 4.17/4.39 (~v25(constB18, bitIndex3)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3936, 3927])).
% 4.17/4.39 tff(3938,plain,
% 4.17/4.39 (v911(constB18) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3261, 522, 3920])).
% 4.17/4.39 tff(3939,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3938, 3937, 3935, 3933, 3931, 3929, 3926])).
% 4.17/4.39 tff(3940,plain,(v918(constB18) | v911(constB18) | (~v6(constB18, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3941,plain,
% 4.17/4.39 (v918(constB18)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3940, 3925, 3920])).
% 4.17/4.39 tff(3942,plain,
% 4.17/4.39 (v19(constB18, bitIndex1)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2744, 539, 3941])).
% 4.17/4.39 tff(3943,plain,
% 4.17/4.39 (v16(constB18)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2731, 382, 3923])).
% 4.17/4.39 tff(3944,plain,
% 4.17/4.39 (~v6(constB19, bitIndex1)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[2321, 2688])).
% 4.17/4.39 tff(3945,plain,
% 4.17/4.39 (~v949(constB19)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2721, 3944])).
% 4.17/4.39 tff(3946,plain,
% 4.17/4.39 (~v947(constB18)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2726, 3945])).
% 4.17/4.39 tff(3947,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[2739, 400, 3946, 3943, 3942])).
% 4.17/4.39 tff(3948,plain,((~(constB19 = sK293_VarCurr)) | (~v6(constB18, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3949,plain,
% 4.17/4.39 (~(constB19 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3948, 3919, 266])).
% 4.17/4.39 tff(3950,assumption,(~(constB13 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.39 tff(3951,assumption,(~(constB12 = sK293_VarCurr)), introduced(assumption)).
% 4.17/4.39 tff(3952,assumption,(constB1 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3953,plain,
% 4.17/4.39 (v6(constB1, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3952])).
% 4.17/4.39 tff(3954,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB1, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3953])).
% 4.17/4.39 tff(3955,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB1, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3954])).
% 4.17/4.39 tff(3956,plain,
% 4.17/4.39 (~v6(constB1, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3955])).
% 4.17/4.39 tff(3957,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[1956, 3956])).
% 4.17/4.39 tff(3958,plain,((~(constB1 = sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3959,plain,
% 4.17/4.39 (~(constB1 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3958, 266])).
% 4.17/4.39 tff(3960,assumption,(constB0 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3961,plain,
% 4.17/4.39 (v6(constB0, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3960])).
% 4.17/4.39 tff(3962,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB0, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3961])).
% 4.17/4.39 tff(3963,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB0, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3962])).
% 4.17/4.39 tff(3964,plain,
% 4.17/4.39 (~v6(constB0, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3963])).
% 4.17/4.39 tff(3965,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[1828, 3964])).
% 4.17/4.39 tff(3966,plain,((~(constB0 = sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3967,plain,
% 4.17/4.39 (~(constB0 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3966, 266])).
% 4.17/4.39 tff(3968,assumption,(constB2 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3969,plain,
% 4.17/4.39 (v6(constB2, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3968])).
% 4.17/4.39 tff(3970,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB2, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3969])).
% 4.17/4.39 tff(3971,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB2, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3970])).
% 4.17/4.39 tff(3972,plain,
% 4.17/4.39 (~v6(constB2, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3971])).
% 4.17/4.39 tff(3973,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[1977, 3972])).
% 4.17/4.39 tff(3974,plain,((~(constB2 = sK293_VarCurr)) | (~v6(constB2, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3975,plain,
% 4.17/4.39 ((~(constB2 = sK293_VarCurr)) | v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3974, 1974])).
% 4.17/4.39 tff(3976,plain,
% 4.17/4.39 (~(constB2 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3975, 266])).
% 4.17/4.39 tff(3977,assumption,(constB17 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3978,plain,
% 4.17/4.39 (v6(constB17, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3977])).
% 4.17/4.39 tff(3979,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB17, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3978])).
% 4.17/4.39 tff(3980,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB17, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3979])).
% 4.17/4.39 tff(3981,plain,
% 4.17/4.39 (~v6(constB17, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3980])).
% 4.17/4.39 tff(3982,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3918, 3981])).
% 4.17/4.39 tff(3983,plain,((~(constB17 = sK293_VarCurr)) | (~v6(constB17, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3984,plain,
% 4.17/4.39 (~(constB17 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3983, 3918, 266])).
% 4.17/4.39 tff(3985,assumption,(constB18 = sK293_VarCurr), introduced(assumption)).
% 4.17/4.39 tff(3986,plain,
% 4.17/4.39 (v6(constB18, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3985])).
% 4.17/4.39 tff(3987,plain,
% 4.17/4.39 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB18, bitIndex0)),
% 4.17/4.39 inference(symmetry,[status(thm)],[3986])).
% 4.17/4.39 tff(3988,plain,
% 4.17/4.39 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB18, bitIndex0))),
% 4.17/4.39 inference(monotonicity,[status(thm)],[3987])).
% 4.17/4.39 tff(3989,plain,
% 4.17/4.39 (~v6(constB18, bitIndex0)),
% 4.17/4.39 inference(modus_ponens,[status(thm)],[266, 3988])).
% 4.17/4.39 tff(3990,plain,
% 4.17/4.39 ($false),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3920, 3989])).
% 4.17/4.39 tff(3991,plain,((~(constB18 = sK293_VarCurr)) | (~v6(constB18, bitIndex0)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.17/4.39 tff(3992,plain,
% 4.17/4.39 (~(constB18 = sK293_VarCurr)),
% 4.17/4.39 inference(unit_resolution,[status(thm)],[3991, 3919, 266])).
% 4.17/4.39 tff(3993,plain,
% 4.17/4.39 (^[VarState: $i] : refl(((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) <=> ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))),
% 4.17/4.39 inference(bind,[status(th)],[])).
% 4.17/4.39 tff(3994,plain,
% 4.17/4.39 (![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) <=> ![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))),
% 4.17/4.39 inference(quant_intro,[status(thm)],[3993])).
% 4.17/4.39 tff(3995,plain,
% 4.17/4.39 (![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) <=> ![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))),
% 4.17/4.39 inference(rewrite,[status(thm)],[])).
% 4.17/4.39 tff(3996,plain,
% 4.17/4.39 (^[VarState: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((constB20 = VarState) | (constB19 = VarState)) <=> ((constB19 = VarState) | (constB20 = VarState))), ((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) <=> (((constB19 = VarState) | (constB20 = VarState)) | (constB18 = VarState)))), rewrite((((constB19 = VarState) | (constB20 = VarState)) | (constB18 = VarState)) <=> ((constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) <=> ((constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) <=> (((constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB17 = VarState)))), rewrite((((constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB17 = VarState)) <=> ((constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) <=> ((constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), ((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) <=> (((constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB16 = VarState)))), rewrite((((constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB16 = VarState)) <=> ((constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) <=> ((constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) <=> (((constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB15 = VarState)))), rewrite((((constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB15 = VarState)) <=> ((constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) <=> ((constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), ((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) <=> (((constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB14 = VarState)))), rewrite((((constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB14 = VarState)) <=> ((constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) <=> ((constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) <=> (((constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB13 = VarState)))), rewrite((((constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB13 = VarState)) <=> ((constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) <=> ((constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), ((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) <=> (((constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB12 = VarState)))), rewrite((((constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB12 = VarState)) <=> ((constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) <=> ((constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) <=> (((constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB11 = VarState)))), rewrite((((constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB11 = VarState)) <=> ((constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) <=> ((constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), ((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) <=> (((constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB10 = VarState)))), rewrite((((constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB10 = VarState)) <=> ((constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) <=> ((constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) <=> (((constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB9 = VarState)))), rewrite((((constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB9 = VarState)) <=> ((constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) <=> ((constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), ((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) <=> (((constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB8 = VarState)))), rewrite((((constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB8 = VarState)) <=> ((constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) <=> ((constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) <=> (((constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB7 = VarState)))), rewrite((((constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB7 = VarState)) <=> ((constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) <=> ((constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), ((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) <=> (((constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB6 = VarState)))), rewrite((((constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB6 = VarState)) <=> ((constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) <=> ((constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) <=> (((constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB5 = VarState)))), rewrite((((constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB5 = VarState)) <=> ((constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) <=> ((constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), ((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) <=> (((constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB4 = VarState)))), rewrite((((constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB4 = VarState)) <=> ((constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) <=> ((constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) <=> (((constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB3 = VarState)))), rewrite((((constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB3 = VarState)) <=> ((constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) <=> ((constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), ((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) <=> (((constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB2 = VarState)))), rewrite((((constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB2 = VarState)) <=> ((constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) <=> ((constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) | (constB1 = VarState)) <=> (((constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB1 = VarState)))), rewrite((((constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB1 = VarState)) <=> ((constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) | (constB1 = VarState)) <=> ((constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), ((((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) | (constB1 = VarState)) | (constB0 = VarState)) <=> (((constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB0 = VarState)))), rewrite((((constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (constB0 = VarState)) <=> ((constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), ((((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) | (constB1 = VarState)) | (constB0 = VarState)) <=> ((constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)))), (((((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) | (constB1 = VarState)) | (constB0 = VarState)) | (~reachableState(VarState))) <=> (((constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (~reachableState(VarState))))), rewrite((((constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState)) | (~reachableState(VarState))) <=> ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))), (((((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) | (constB1 = VarState)) | (constB0 = VarState)) | (~reachableState(VarState))) <=> ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))))),
% 4.17/4.41 inference(bind,[status(th)],[])).
% 4.17/4.41 tff(3997,plain,
% 4.17/4.41 (![VarState: $i] : ((((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) | (constB1 = VarState)) | (constB0 = VarState)) | (~reachableState(VarState))) <=> ![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))),
% 4.17/4.41 inference(quant_intro,[status(thm)],[3996])).
% 4.17/4.41 tff(3998,axiom,(![VarState: $i] : ((((((((((((((((((((((constB20 = VarState) | (constB19 = VarState)) | (constB18 = VarState)) | (constB17 = VarState)) | (constB16 = VarState)) | (constB15 = VarState)) | (constB14 = VarState)) | (constB13 = VarState)) | (constB12 = VarState)) | (constB11 = VarState)) | (constB10 = VarState)) | (constB9 = VarState)) | (constB8 = VarState)) | (constB7 = VarState)) | (constB6 = VarState)) | (constB5 = VarState)) | (constB4 = VarState)) | (constB3 = VarState)) | (constB2 = VarState)) | (constB1 = VarState)) | (constB0 = VarState)) | (~reachableState(VarState)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9810')).
% 4.17/4.41 tff(3999,plain,
% 4.17/4.41 (![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))),
% 4.17/4.41 inference(modus_ponens,[status(thm)],[3998, 3997])).
% 4.17/4.41 tff(4000,plain,
% 4.17/4.41 (![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))),
% 4.17/4.41 inference(modus_ponens,[status(thm)],[3999, 3995])).
% 4.17/4.41 tff(4001,plain,(
% 4.17/4.41 ![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))),
% 4.17/4.41 inference(skolemize,[status(sab)],[4000])).
% 4.17/4.41 tff(4002,plain,
% 4.17/4.41 (![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))),
% 4.17/4.41 inference(modus_ponens,[status(thm)],[4001, 3994])).
% 4.17/4.41 tff(4003,plain,
% 4.17/4.41 (reachableState(sK293_VarCurr) <=> reachableState(sK293_VarCurr)),
% 4.17/4.41 inference(rewrite,[status(thm)],[])).
% 4.17/4.41 tff(4004,axiom,(reachableState(sK293_VarCurr)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9839')).
% 4.17/4.41 tff(4005,plain,
% 4.17/4.41 (reachableState(sK293_VarCurr)),
% 4.17/4.41 inference(modus_ponens,[status(thm)],[4004, 4003])).
% 4.17/4.41 tff(4006,plain,
% 4.17/4.41 (((~![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))) | ((~reachableState(sK293_VarCurr)) | (constB0 = sK293_VarCurr) | (constB1 = sK293_VarCurr) | (constB2 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB17 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB20 = sK293_VarCurr))) <=> ((~![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))) | (~reachableState(sK293_VarCurr)) | (constB0 = sK293_VarCurr) | (constB1 = sK293_VarCurr) | (constB2 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB17 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB20 = sK293_VarCurr))),
% 4.17/4.41 inference(rewrite,[status(thm)],[])).
% 4.17/4.41 tff(4007,plain,
% 4.17/4.41 ((~![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))) | ((~reachableState(sK293_VarCurr)) | (constB0 = sK293_VarCurr) | (constB1 = sK293_VarCurr) | (constB2 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB17 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB20 = sK293_VarCurr))),
% 4.25/4.41 inference(quant_inst,[status(thm)],[])).
% 4.25/4.41 tff(4008,plain,
% 4.25/4.41 ((~![VarState: $i] : ((~reachableState(VarState)) | (constB0 = VarState) | (constB1 = VarState) | (constB2 = VarState) | (constB3 = VarState) | (constB4 = VarState) | (constB5 = VarState) | (constB6 = VarState) | (constB7 = VarState) | (constB8 = VarState) | (constB9 = VarState) | (constB10 = VarState) | (constB11 = VarState) | (constB12 = VarState) | (constB13 = VarState) | (constB14 = VarState) | (constB15 = VarState) | (constB16 = VarState) | (constB17 = VarState) | (constB18 = VarState) | (constB19 = VarState) | (constB20 = VarState))) | (~reachableState(sK293_VarCurr)) | (constB0 = sK293_VarCurr) | (constB1 = sK293_VarCurr) | (constB2 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB17 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB20 = sK293_VarCurr)),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4007, 4006])).
% 4.25/4.41 tff(4009,plain,
% 4.25/4.41 ((constB0 = sK293_VarCurr) | (constB1 = sK293_VarCurr) | (constB2 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB17 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB20 = sK293_VarCurr)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4008, 4005, 4002])).
% 4.25/4.41 tff(4010,plain,
% 4.25/4.41 ($false),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4009, 3992, 3984, 2180, 2090, 3976, 3423, 3426, 3268, 3967, 3876, 3959, 3951, 3267, 3875, 3950, 2181, 3877, 3825, 3878, 3917, 3949])).
% 4.25/4.41 tff(4011,plain,((~v6(constB17, bitIndex0)) | (constB3 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB20 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.41 tff(4012,plain,
% 4.25/4.41 (~v6(constB17, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4011, 3917, 2090, 3423, 3426, 3268, 3876, 3916, 3267, 3875, 3908, 2181, 3877, 3825, 2180, 3878, 266])).
% 4.25/4.41 tff(4013,plain,
% 4.25/4.41 (~v935(constB17)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[3194, 4012])).
% 4.25/4.41 tff(4014,plain,
% 4.25/4.41 (~v933(constB16)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[3168, 4013])).
% 4.25/4.41 tff(4015,assumption,(~(constB18 = sK293_VarCurr)), introduced(assumption)).
% 4.25/4.41 tff(4016,plain,
% 4.25/4.41 (constB17 = sK293_VarCurr),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4009, 3917, 2180, 2090, 3976, 3423, 3426, 3268, 3967, 3876, 3959, 3916, 3267, 3875, 3908, 2181, 3877, 3825, 3424, 4015, 3878])).
% 4.25/4.41 tff(4017,plain,
% 4.25/4.41 (v6(constB17, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.25/4.41 inference(monotonicity,[status(thm)],[3977])).
% 4.25/4.41 tff(4018,plain,
% 4.25/4.41 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB17, bitIndex1)),
% 4.25/4.41 inference(symmetry,[status(thm)],[4017])).
% 4.25/4.41 tff(4019,plain,
% 4.25/4.41 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB17, bitIndex1))),
% 4.25/4.41 inference(monotonicity,[status(thm)],[4018])).
% 4.25/4.41 tff(4020,plain,
% 4.25/4.41 (~v6(constB17, bitIndex1)),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4, 4019])).
% 4.25/4.41 tff(4021,assumption,(v6(constB17, bitIndex1)), introduced(assumption)).
% 4.25/4.41 tff(4022,plain,
% 4.25/4.41 ($false),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4021, 4020])).
% 4.25/4.41 tff(4023,plain,((~(constB17 = sK293_VarCurr)) | (~v6(constB17, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.41 tff(4024,plain,
% 4.25/4.41 (~v6(constB17, bitIndex1)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4023, 4016, 2321])).
% 4.25/4.41 tff(4025,plain,
% 4.25/4.41 (~v949(constB17)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[2831, 4024])).
% 4.25/4.41 tff(4026,plain,
% 4.25/4.41 (~v947(constB16)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[2836, 4025])).
% 4.25/4.41 tff(4027,plain,
% 4.25/4.41 ($false),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[3163, 4026, 4014, 2182])).
% 4.25/4.41 tff(4028,plain,((constB15 = sK293_VarCurr) | (~v6(constB12, bitIndex0)) | (constB9 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB20 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | v6(sK293_VarCurr, bitIndex0) | (constB19 = sK293_VarCurr) | (constB18 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.41 tff(4029,plain,
% 4.25/4.41 (constB18 = sK293_VarCurr),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4028, 3877, 2090, 3423, 3426, 3268, 3876, 3267, 3875, 2181, 3874, 3850, 2180, 2182, 266, 3424, 3825])).
% 4.25/4.41 tff(4030,plain,
% 4.25/4.41 (v6(constB18, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.25/4.41 inference(monotonicity,[status(thm)],[3985])).
% 4.25/4.41 tff(4031,plain,
% 4.25/4.41 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB18, bitIndex1)),
% 4.25/4.41 inference(symmetry,[status(thm)],[4030])).
% 4.25/4.41 tff(4032,plain,
% 4.25/4.41 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB18, bitIndex1))),
% 4.25/4.41 inference(monotonicity,[status(thm)],[4031])).
% 4.25/4.41 tff(4033,plain,
% 4.25/4.41 (~v6(constB18, bitIndex1)),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4, 4032])).
% 4.25/4.41 tff(4034,plain,
% 4.25/4.41 ($false),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[2758, 4033])).
% 4.25/4.41 tff(4035,plain,((~(constB18 = sK293_VarCurr)) | (~v6(constB18, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.41 tff(4036,plain,
% 4.25/4.41 (~v6(constB18, bitIndex1)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4035, 4029, 2321])).
% 4.25/4.41 tff(4037,plain,
% 4.25/4.41 (~v6(constB17, bitIndex1)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[2795, 4036])).
% 4.25/4.41 tff(4038,plain,
% 4.25/4.41 (~v949(constB17)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[2831, 4037])).
% 4.25/4.41 tff(4039,plain,
% 4.25/4.41 (~v6(constB17, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4011, 3877, 2090, 3423, 3426, 3268, 3876, 3916, 3267, 3875, 3908, 2181, 3874, 3850, 2180, 3825, 266])).
% 4.25/4.41 tff(4040,plain,
% 4.25/4.41 (~v935(constB17)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[3194, 4039])).
% 4.25/4.41 tff(4041,plain,
% 4.25/4.41 (~v933(constB16)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[3168, 4040])).
% 4.25/4.41 tff(4042,plain,
% 4.25/4.41 (v947(constB16)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[3163, 4041, 2182])).
% 4.25/4.41 tff(4043,plain,
% 4.25/4.41 ($false),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[2836, 4042, 4038])).
% 4.25/4.41 tff(4044,plain,((constB14 = sK293_VarCurr) | (~v6(constB12, bitIndex0)) | (constB9 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB20 = sK293_VarCurr) | v6(sK293_VarCurr, bitIndex0) | (constB19 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.41 tff(4045,plain,
% 4.25/4.41 (constB8 = sK293_VarCurr),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4044, 3824, 266, 3426, 2182, 3425, 2090, 3424, 3268, 2181, 3267, 2180, 3423, 3422])).
% 4.25/4.41 tff(4046,plain,
% 4.25/4.41 (v6(constB8, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.25/4.41 inference(monotonicity,[status(thm)],[4045])).
% 4.25/4.41 tff(4047,plain,
% 4.25/4.41 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB8, bitIndex0)),
% 4.25/4.41 inference(symmetry,[status(thm)],[4046])).
% 4.25/4.41 tff(4048,plain,
% 4.25/4.41 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB8, bitIndex0))),
% 4.25/4.41 inference(monotonicity,[status(thm)],[4047])).
% 4.25/4.41 tff(4049,plain,
% 4.25/4.41 (~v6(constB8, bitIndex0)),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[266, 4048])).
% 4.25/4.41 tff(4050,plain,
% 4.25/4.41 ($false),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[3674, 4049])).
% 4.25/4.41 tff(4051,plain,(v16(constB6) | v6(sK293_VarCurr, bitIndex0) | (constB5 = sK293_VarCurr) | (~v6(constB12, bitIndex0)) | (constB9 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB6 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.41 tff(4052,plain,
% 4.25/4.41 (v16(constB6)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4051, 2090, 3421, 2182, 3266, 3268, 19, 2181, 2180, 3267, 2179])).
% 4.25/4.41 tff(4053,assumption,(v16(constB6)), introduced(assumption)).
% 4.25/4.41 tff(4054,plain,
% 4.25/4.41 (^[VarCurr: $i] : refl(((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr))) <=> ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr))))),
% 4.25/4.41 inference(bind,[status(th)],[])).
% 4.25/4.41 tff(4055,plain,
% 4.25/4.41 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr))) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))),
% 4.25/4.41 inference(quant_intro,[status(thm)],[4054])).
% 4.25/4.41 tff(4056,plain,
% 4.25/4.41 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr))) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4057,plain,
% 4.25/4.41 (^[VarCurr: $i] : trans(monotonicity(rewrite((v19(VarCurr, bitIndex1) | (~v947(VarCurr))) <=> (v19(VarCurr, bitIndex1) | (~v947(VarCurr)))), (((v19(VarCurr, bitIndex1) | (~v947(VarCurr))) | (~v16(VarCurr))) <=> ((v19(VarCurr, bitIndex1) | (~v947(VarCurr))) | (~v16(VarCurr))))), rewrite(((v19(VarCurr, bitIndex1) | (~v947(VarCurr))) | (~v16(VarCurr))) <=> ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))), (((v19(VarCurr, bitIndex1) | (~v947(VarCurr))) | (~v16(VarCurr))) <=> ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))))),
% 4.25/4.41 inference(bind,[status(th)],[])).
% 4.25/4.41 tff(4058,plain,
% 4.25/4.41 (![VarCurr: $i] : ((v19(VarCurr, bitIndex1) | (~v947(VarCurr))) | (~v16(VarCurr))) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))),
% 4.25/4.41 inference(quant_intro,[status(thm)],[4057])).
% 4.25/4.41 tff(4059,axiom,(![VarCurr: $i] : ((v19(VarCurr, bitIndex1) | (~v947(VarCurr))) | (~v16(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9855')).
% 4.25/4.41 tff(4060,plain,
% 4.25/4.41 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4059, 4058])).
% 4.25/4.41 tff(4061,plain,
% 4.25/4.41 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4060, 4056])).
% 4.25/4.41 tff(4062,plain,(
% 4.25/4.41 ![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))),
% 4.25/4.41 inference(skolemize,[status(sab)],[4061])).
% 4.25/4.41 tff(4063,plain,
% 4.25/4.41 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4062, 4055])).
% 4.25/4.41 tff(4064,plain,
% 4.25/4.41 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex1))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4065,plain,
% 4.25/4.41 (((~v16(constB6)) | v19(constB6, bitIndex1) | (~v947(constB6))) <=> ((~v947(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex1))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4066,plain,
% 4.25/4.41 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB6)) | v19(constB6, bitIndex1) | (~v947(constB6)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex1)))),
% 4.25/4.41 inference(monotonicity,[status(thm)],[4065])).
% 4.25/4.41 tff(4067,plain,
% 4.25/4.41 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB6)) | v19(constB6, bitIndex1) | (~v947(constB6)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex1))),
% 4.25/4.41 inference(transitivity,[status(thm)],[4066, 4064])).
% 4.25/4.41 tff(4068,plain,
% 4.25/4.41 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB6)) | v19(constB6, bitIndex1) | (~v947(constB6)))),
% 4.25/4.41 inference(quant_inst,[status(thm)],[])).
% 4.25/4.41 tff(4069,plain,
% 4.25/4.41 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex1)),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4068, 4067])).
% 4.25/4.41 tff(4070,plain,
% 4.25/4.41 (~v947(constB6)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4069, 4063, 4053, 1344])).
% 4.25/4.41 tff(4071,plain,
% 4.25/4.41 (~v6(constB4, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1596, 1317, 4070])).
% 4.25/4.41 tff(4072,plain,
% 4.25/4.41 (~v6(constB3, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1617, 4071])).
% 4.25/4.41 tff(4073,plain,
% 4.25/4.41 (~v935(constB3)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1650, 4072])).
% 4.25/4.41 tff(4074,plain,
% 4.25/4.41 (~v933(constB2)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1655, 4073])).
% 4.25/4.41 tff(4075,plain,
% 4.25/4.41 (~v19(constB2, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1671, 4074])).
% 4.25/4.41 tff(4076,plain,
% 4.25/4.41 (~v911(constB2)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1675, 416, 4075])).
% 4.25/4.41 tff(4077,plain,
% 4.25/4.41 (v16(constB2)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1669, 382, 4074])).
% 4.25/4.41 tff(4078,plain,
% 4.25/4.41 (v933(constB6) | (~v19(constB6, bitIndex0))),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1336, 364, 4053])).
% 4.25/4.41 tff(4079,plain,
% 4.25/4.41 (~v19(constB6, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4078, 1317])).
% 4.25/4.41 tff(4080,plain,
% 4.25/4.41 (~v6(constB6, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[2282, 4079, 1344])).
% 4.25/4.41 tff(4081,plain,
% 4.25/4.41 (~v6(constB5, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1421, 4080])).
% 4.25/4.41 tff(4082,plain,
% 4.25/4.41 (~v935(constB5)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1454, 4081])).
% 4.25/4.41 tff(4083,plain,
% 4.25/4.41 (~v933(constB4)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1459, 4082])).
% 4.25/4.41 tff(4084,plain,
% 4.25/4.41 (~v19(constB4, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1707, 1702])).
% 4.25/4.41 tff(4085,plain,
% 4.25/4.41 (~v702(constB4)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1713, 4084])).
% 4.25/4.41 tff(4086,plain,
% 4.25/4.41 (v19(constB4, bitIndex1)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[1718, 4085])).
% 4.25/4.41 tff(4087,plain,
% 4.25/4.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB3, bitIndex0) | (~nextState(constB3, constB4)) | v925(constB4) | (~v6(constB4, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB3, bitIndex0) | (~nextState(constB3, constB4)) | v925(constB4) | (~v6(constB4, bitIndex0)))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4088,plain,
% 4.25/4.41 (((~nextState(constB3, constB4)) | v6(constB3, bitIndex0) | v925(constB4) | (~v6(constB4, bitIndex0))) <=> (v6(constB3, bitIndex0) | (~nextState(constB3, constB4)) | v925(constB4) | (~v6(constB4, bitIndex0)))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4089,plain,
% 4.25/4.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v6(constB3, bitIndex0) | v925(constB4) | (~v6(constB4, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB3, bitIndex0) | (~nextState(constB3, constB4)) | v925(constB4) | (~v6(constB4, bitIndex0))))),
% 4.25/4.41 inference(monotonicity,[status(thm)],[4088])).
% 4.25/4.41 tff(4090,plain,
% 4.25/4.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v6(constB3, bitIndex0) | v925(constB4) | (~v6(constB4, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB3, bitIndex0) | (~nextState(constB3, constB4)) | v925(constB4) | (~v6(constB4, bitIndex0)))),
% 4.25/4.41 inference(transitivity,[status(thm)],[4089, 4087])).
% 4.25/4.41 tff(4091,plain,
% 4.25/4.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB3, constB4)) | v6(constB3, bitIndex0) | v925(constB4) | (~v6(constB4, bitIndex0)))),
% 4.25/4.41 inference(quant_inst,[status(thm)],[])).
% 4.25/4.41 tff(4092,plain,
% 4.25/4.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB3, bitIndex0) | (~nextState(constB3, constB4)) | v925(constB4) | (~v6(constB4, bitIndex0))),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4091, 4090])).
% 4.25/4.41 tff(4093,plain,
% 4.25/4.41 (v6(constB3, bitIndex0) | v925(constB4) | (~v6(constB4, bitIndex0))),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4092, 2219, 84])).
% 4.25/4.41 tff(4094,plain,
% 4.25/4.41 (v6(constB3, bitIndex0) | (~v6(constB4, bitIndex0))),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4093, 1609])).
% 4.25/4.41 tff(4095,plain,
% 4.25/4.41 (~v6(constB4, bitIndex0)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4094, 2041])).
% 4.25/4.41 tff(4096,plain,
% 4.25/4.41 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB4, bitIndex0) | (~v918(constB4)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB4, bitIndex0) | (~v918(constB4)))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4097,plain,
% 4.25/4.41 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB4, bitIndex0) | (~v918(constB4)))),
% 4.25/4.41 inference(quant_inst,[status(thm)],[])).
% 4.25/4.41 tff(4098,plain,
% 4.25/4.41 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB4, bitIndex0) | (~v918(constB4))),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4097, 4096])).
% 4.25/4.41 tff(4099,plain,
% 4.25/4.41 (~v918(constB4)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4098, 645, 4095])).
% 4.25/4.41 tff(4100,plain,
% 4.25/4.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v941(constB4) | (~v6(constB4, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v941(constB4) | (~v6(constB4, bitIndex1)))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4101,plain,
% 4.25/4.41 (((~nextState(constB3, constB4)) | v6(constB3, bitIndex1) | v941(constB4) | (~v6(constB4, bitIndex1))) <=> (v6(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v941(constB4) | (~v6(constB4, bitIndex1)))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4102,plain,
% 4.25/4.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB3, constB4)) | v6(constB3, bitIndex1) | v941(constB4) | (~v6(constB4, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v941(constB4) | (~v6(constB4, bitIndex1))))),
% 4.25/4.41 inference(monotonicity,[status(thm)],[4101])).
% 4.25/4.41 tff(4103,plain,
% 4.25/4.41 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB3, constB4)) | v6(constB3, bitIndex1) | v941(constB4) | (~v6(constB4, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v941(constB4) | (~v6(constB4, bitIndex1)))),
% 4.25/4.41 inference(transitivity,[status(thm)],[4102, 4100])).
% 4.25/4.41 tff(4104,plain,
% 4.25/4.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB3, constB4)) | v6(constB3, bitIndex1) | v941(constB4) | (~v6(constB4, bitIndex1)))),
% 4.25/4.41 inference(quant_inst,[status(thm)],[])).
% 4.25/4.41 tff(4105,plain,
% 4.25/4.41 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB3, bitIndex1) | (~nextState(constB3, constB4)) | v941(constB4) | (~v6(constB4, bitIndex1))),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4104, 4103])).
% 4.25/4.41 tff(4106,plain,
% 4.25/4.41 (v6(constB3, bitIndex1) | v941(constB4) | (~v6(constB4, bitIndex1))),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4105, 2242, 84])).
% 4.25/4.41 tff(4107,plain,
% 4.25/4.41 (v6(constB3, bitIndex1) | (~v6(constB4, bitIndex1))),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4106, 1742])).
% 4.25/4.41 tff(4108,plain,
% 4.25/4.41 (~v6(constB4, bitIndex1)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4107, 2047])).
% 4.25/4.41 tff(4109,assumption,(v19(constB4, bitIndex1)), introduced(assumption)).
% 4.25/4.41 tff(4110,plain,
% 4.25/4.41 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB4, bitIndex1) | (~v19(constB4, bitIndex1)) | v918(constB4))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB4, bitIndex1) | (~v19(constB4, bitIndex1)) | v918(constB4))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4111,plain,
% 4.25/4.41 ((v6(constB4, bitIndex1) | v918(constB4) | (~v19(constB4, bitIndex1))) <=> (v6(constB4, bitIndex1) | (~v19(constB4, bitIndex1)) | v918(constB4))),
% 4.25/4.41 inference(rewrite,[status(thm)],[])).
% 4.25/4.41 tff(4112,plain,
% 4.25/4.41 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB4, bitIndex1) | v918(constB4) | (~v19(constB4, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB4, bitIndex1) | (~v19(constB4, bitIndex1)) | v918(constB4)))),
% 4.25/4.41 inference(monotonicity,[status(thm)],[4111])).
% 4.25/4.41 tff(4113,plain,
% 4.25/4.41 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB4, bitIndex1) | v918(constB4) | (~v19(constB4, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB4, bitIndex1) | (~v19(constB4, bitIndex1)) | v918(constB4))),
% 4.25/4.41 inference(transitivity,[status(thm)],[4112, 4110])).
% 4.25/4.41 tff(4114,plain,
% 4.25/4.41 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB4, bitIndex1) | v918(constB4) | (~v19(constB4, bitIndex1)))),
% 4.25/4.41 inference(quant_inst,[status(thm)],[])).
% 4.25/4.41 tff(4115,plain,
% 4.25/4.41 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB4, bitIndex1) | (~v19(constB4, bitIndex1)) | v918(constB4)),
% 4.25/4.41 inference(modus_ponens,[status(thm)],[4114, 4113])).
% 4.25/4.41 tff(4116,plain,
% 4.25/4.41 (v6(constB4, bitIndex1) | v918(constB4)),
% 4.25/4.41 inference(unit_resolution,[status(thm)],[4115, 747, 4109])).
% 4.25/4.41 tff(4117,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4116, 4108, 4099])).
% 4.25/4.42 tff(4118,plain,((~(constB3 = sK293_VarCurr)) | (~v19(constB4, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4119,plain,
% 4.25/4.42 (~(constB3 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4118, 4086, 4])).
% 4.25/4.42 tff(4120,plain,
% 4.25/4.42 (v16(constB4)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1463, 382, 1702])).
% 4.25/4.42 tff(4121,plain,
% 4.25/4.42 (v947(constB4) | (~v16(constB4))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1523, 400, 4086])).
% 4.25/4.42 tff(4122,plain,
% 4.25/4.42 (v947(constB4)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4121, 4120])).
% 4.25/4.42 tff(4123,plain,
% 4.25/4.42 (v949(constB5)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1529, 4122])).
% 4.25/4.42 tff(4124,plain,
% 4.25/4.42 (v6(constB5, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1558, 4123])).
% 4.25/4.42 tff(4125,plain,
% 4.25/4.42 (v6(constB6, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1579, 4124])).
% 4.25/4.42 tff(4126,plain,
% 4.25/4.42 (~v702(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1586, 663, 4125, 1339])).
% 4.25/4.42 tff(4127,plain,
% 4.25/4.42 (v702(constB6) | v19(constB6, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1591, 679, 4125])).
% 4.25/4.42 tff(4128,plain,
% 4.25/4.42 (v19(constB6, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4127, 4126])).
% 4.25/4.42 tff(4129,plain,
% 4.25/4.42 (~v6(constB7, bitIndex1)),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4, 2306])).
% 4.25/4.42 tff(4130,assumption,(v6(constB7, bitIndex1)), introduced(assumption)).
% 4.25/4.42 tff(4131,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4130, 4129])).
% 4.25/4.42 tff(4132,plain,((~(constB7 = sK293_VarCurr)) | (~v6(constB7, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4133,plain,
% 4.25/4.42 (~v6(constB7, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4132, 2303, 4])).
% 4.25/4.42 tff(4134,plain,
% 4.25/4.42 (~v949(constB7)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1309, 4133])).
% 4.25/4.42 tff(4135,plain,
% 4.25/4.42 (~v947(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1314, 4134])).
% 4.25/4.42 tff(4136,assumption,(v19(constB6, bitIndex1)), introduced(assumption)).
% 4.25/4.42 tff(4137,plain,
% 4.25/4.42 (v947(constB6) | (~v16(constB6))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1328, 400, 4136])).
% 4.25/4.42 tff(4138,plain,
% 4.25/4.42 (~v16(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4137, 4135])).
% 4.25/4.42 tff(4139,plain,
% 4.25/4.42 (~v6(constB7, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2329, 2303, 19])).
% 4.25/4.42 tff(4140,plain,
% 4.25/4.42 (~v935(constB7)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1225, 4139])).
% 4.25/4.42 tff(4141,plain,
% 4.25/4.42 (~v933(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1230, 4140])).
% 4.25/4.42 tff(4142,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1320, 382, 4141, 4138])).
% 4.25/4.42 tff(4143,plain,((~(constB7 = sK293_VarCurr)) | (~v19(constB6, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4144,plain,
% 4.25/4.42 (~(constB7 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4143, 4128, 4])).
% 4.25/4.42 tff(4145,plain,
% 4.25/4.42 (v19(constB4, bitIndex1) <=> v19(sK293_VarCurr, bitIndex1)),
% 4.25/4.42 inference(monotonicity,[status(thm)],[2066])).
% 4.25/4.42 tff(4146,plain,
% 4.25/4.42 (v19(sK293_VarCurr, bitIndex1) <=> v19(constB4, bitIndex1)),
% 4.25/4.42 inference(symmetry,[status(thm)],[4145])).
% 4.25/4.42 tff(4147,plain,
% 4.25/4.42 ((~v19(sK293_VarCurr, bitIndex1)) <=> (~v19(constB4, bitIndex1))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4146])).
% 4.25/4.42 tff(4148,assumption,(~v19(sK293_VarCurr, bitIndex1)), introduced(assumption)).
% 4.25/4.42 tff(4149,plain,
% 4.25/4.42 (~v19(constB4, bitIndex1)),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4148, 4147])).
% 4.25/4.42 tff(4150,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4109, 4149])).
% 4.25/4.42 tff(4151,plain,((~(constB4 = sK293_VarCurr)) | (~v19(constB4, bitIndex1)) | v19(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4152,plain,
% 4.25/4.42 (~(constB4 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4151, 4086, 2138])).
% 4.25/4.42 tff(4153,plain,
% 4.25/4.42 (v16(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4051, 4152, 3421, 2182, 2090, 3424, 19, 2181, 4144, 4119, 2179])).
% 4.25/4.42 tff(4154,plain,
% 4.25/4.42 (v947(constB6) | (~v16(constB6))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1328, 400, 4128])).
% 4.25/4.42 tff(4155,plain,
% 4.25/4.42 (v947(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4154, 4153])).
% 4.25/4.42 tff(4156,plain,
% 4.25/4.42 (v949(constB7)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1314, 4155])).
% 4.25/4.42 tff(4157,plain,
% 4.25/4.42 (v6(constB7, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1309, 4156])).
% 4.25/4.42 tff(4158,plain,
% 4.25/4.42 (v6(constB8, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1280, 4157])).
% 4.25/4.42 tff(4159,assumption,(constB8 = sK293_VarCurr), introduced(assumption)).
% 4.25/4.42 tff(4160,plain,
% 4.25/4.42 (v6(constB8, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4159])).
% 4.25/4.42 tff(4161,plain,
% 4.25/4.42 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB8, bitIndex1)),
% 4.25/4.42 inference(symmetry,[status(thm)],[4160])).
% 4.25/4.42 tff(4162,plain,
% 4.25/4.42 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB8, bitIndex1))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4161])).
% 4.25/4.42 tff(4163,plain,
% 4.25/4.42 (~v6(constB8, bitIndex1)),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4, 4162])).
% 4.25/4.42 tff(4164,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1243, 4163])).
% 4.25/4.42 tff(4165,plain,((~(constB8 = sK293_VarCurr)) | (~v6(constB8, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4166,plain,
% 4.25/4.42 (~(constB8 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4165, 4158, 4])).
% 4.25/4.42 tff(4167,plain,
% 4.25/4.42 (constB10 = sK293_VarCurr),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4044, 4166, 19, 3421, 2182, 3344, 2090, 3424, 4152, 2181, 4144, 4119, 2179, 2588])).
% 4.25/4.42 tff(4168,plain,
% 4.25/4.42 (~v6(constB10, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3823, 4167, 19])).
% 4.25/4.42 tff(4169,plain,
% 4.25/4.42 (~v6(constB9, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[595, 4168])).
% 4.25/4.42 tff(4170,plain,
% 4.25/4.42 (~v935(constB9)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[628, 4169])).
% 4.25/4.42 tff(4171,plain,
% 4.25/4.42 (~v933(constB8)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[633, 4170])).
% 4.25/4.42 tff(4172,plain,
% 4.25/4.42 (~v19(constB8, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1237, 4171])).
% 4.25/4.42 tff(4173,plain,
% 4.25/4.42 (v19(constB8, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1259, 4172, 4158])).
% 4.25/4.42 tff(4174,plain,
% 4.25/4.42 (v6(constB10, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.25/4.42 inference(monotonicity,[status(thm)],[3817])).
% 4.25/4.42 tff(4175,plain,
% 4.25/4.42 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB10, bitIndex1)),
% 4.25/4.42 inference(symmetry,[status(thm)],[4174])).
% 4.25/4.42 tff(4176,plain,
% 4.25/4.42 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB10, bitIndex1))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4175])).
% 4.25/4.42 tff(4177,plain,
% 4.25/4.42 (~v6(constB10, bitIndex1)),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4, 4176])).
% 4.25/4.42 tff(4178,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[652, 4177])).
% 4.25/4.42 tff(4179,plain,((~(constB10 = sK293_VarCurr)) | (~v6(constB10, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4180,plain,
% 4.25/4.42 (~v6(constB10, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4179, 4167, 4])).
% 4.25/4.42 tff(4181,plain,
% 4.25/4.42 (~v6(constB9, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[736, 4180])).
% 4.25/4.42 tff(4182,plain,
% 4.25/4.42 (~v949(constB9)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[944, 4181])).
% 4.25/4.42 tff(4183,plain,
% 4.25/4.42 (~v947(constB8)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[949, 4182])).
% 4.25/4.42 tff(4184,plain,
% 4.25/4.42 (~v16(constB8)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[957, 400, 4183, 4173])).
% 4.25/4.42 tff(4185,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[637, 382, 4171, 4184])).
% 4.25/4.42 tff(4186,plain,(v933(constB4) | v6(sK293_VarCurr, bitIndex1) | (~v6(constB12, bitIndex0)) | (constB9 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | v19(constB6, bitIndex0) | (~v6(constB4, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4187,plain,
% 4.25/4.42 (~v6(constB4, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4186, 4083, 2182, 3266, 4, 2181, 2090, 4079])).
% 4.25/4.42 tff(4188,plain,
% 4.25/4.42 (~v6(constB3, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1750, 4187])).
% 4.25/4.42 tff(4189,plain,
% 4.25/4.42 (~v949(constB3)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1779, 4188])).
% 4.25/4.42 tff(4190,plain,
% 4.25/4.42 (~v947(constB2)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1784, 4189])).
% 4.25/4.42 tff(4191,plain,
% 4.25/4.42 (~v19(constB2, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1791, 400, 4190, 4077])).
% 4.25/4.42 tff(4192,plain,
% 4.25/4.42 (~v918(constB2)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1796, 539, 4191])).
% 4.25/4.42 tff(4193,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2027, 4192, 4076])).
% 4.25/4.42 tff(4194,plain,(v933(constB6) | (~v6(constB12, bitIndex0)) | v6(sK293_VarCurr, bitIndex1) | (constB11 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | v19(constB6, bitIndex1) | (~v16(constB6))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4195,plain,
% 4.25/4.42 (v933(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4194, 2090, 4, 2181, 2182, 1344, 4052])).
% 4.25/4.42 tff(4196,plain,
% 4.25/4.42 (v935(constB7)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1230, 4195])).
% 4.25/4.42 tff(4197,plain,
% 4.25/4.42 (v6(constB7, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1225, 4196])).
% 4.25/4.42 tff(4198,plain,
% 4.25/4.42 (v6(constB8, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1192, 4197])).
% 4.25/4.42 tff(4199,plain,
% 4.25/4.42 (v19(constB10, bitIndex0) <=> v19(sK293_VarCurr, bitIndex0)),
% 4.25/4.42 inference(monotonicity,[status(thm)],[3817])).
% 4.25/4.42 tff(4200,plain,
% 4.25/4.42 (v19(sK293_VarCurr, bitIndex0) <=> v19(constB10, bitIndex0)),
% 4.25/4.42 inference(symmetry,[status(thm)],[4199])).
% 4.25/4.42 tff(4201,plain,
% 4.25/4.42 ((~v19(sK293_VarCurr, bitIndex0)) <=> (~v19(constB10, bitIndex0))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4200])).
% 4.25/4.42 tff(4202,plain,
% 4.25/4.42 (~v19(constB10, bitIndex0)),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[2116, 4201])).
% 4.25/4.42 tff(4203,plain,
% 4.25/4.42 (~v6(constB10, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3823, 3817, 19])).
% 4.25/4.42 tff(4204,plain,
% 4.25/4.42 (~v6(constB9, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[595, 4203])).
% 4.25/4.42 tff(4205,plain,
% 4.25/4.42 (~v918(constB9)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[648, 645, 4204])).
% 4.25/4.42 tff(4206,plain,
% 4.25/4.42 (~v6(constB10, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4179, 3817, 4])).
% 4.25/4.42 tff(4207,plain,
% 4.25/4.42 (~v6(constB9, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[736, 4206])).
% 4.25/4.42 tff(4208,plain,
% 4.25/4.42 (~v19(constB9, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[753, 747, 4207, 4205])).
% 4.25/4.42 tff(4209,plain,
% 4.25/4.42 (~v935(constB9)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[628, 4204])).
% 4.25/4.42 tff(4210,plain,
% 4.25/4.42 (~v933(constB8)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[633, 4209])).
% 4.25/4.42 tff(4211,plain,
% 4.25/4.42 (v16(constB8)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[637, 382, 4210])).
% 4.25/4.42 tff(4212,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1171, 4211, 4208, 755, 4202])).
% 4.25/4.42 tff(4213,plain,((~(constB10 = sK293_VarCurr)) | (~v6(constB8, bitIndex0)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4214,plain,
% 4.25/4.42 (~(constB10 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4213, 4198, 4])).
% 4.25/4.42 tff(4215,plain,
% 4.25/4.42 (constB8 = sK293_VarCurr),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4044, 4214, 19, 3421, 2182, 3344, 2090, 3268, 2180, 2181, 3267, 3266, 2179, 2588])).
% 4.25/4.42 tff(4216,plain,
% 4.25/4.42 (v6(constB8, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4215])).
% 4.25/4.42 tff(4217,plain,
% 4.25/4.42 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB8, bitIndex0)),
% 4.25/4.42 inference(symmetry,[status(thm)],[4216])).
% 4.25/4.42 tff(4218,plain,
% 4.25/4.42 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB8, bitIndex0))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4217])).
% 4.25/4.42 tff(4219,plain,
% 4.25/4.42 (~v6(constB8, bitIndex0)),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[19, 4218])).
% 4.25/4.42 tff(4220,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4198, 4219])).
% 4.25/4.42 tff(4221,plain,((constB9 = sK293_VarCurr) | (~v6(constB12, bitIndex0)) | (constB4 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | v6(sK293_VarCurr, bitIndex1) | v19(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4222,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4221, 2340, 2339, 2301, 2338, 2181, 2182, 4, 1344])).
% 4.25/4.42 tff(4223,plain,((~v6(constB3, bitIndex0)) | (constB11 = sK293_VarCurr) | (~v6(constB12, bitIndex0)) | v6(sK293_VarCurr, bitIndex1) | v19(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4224,plain,
% 4.25/4.42 (~v6(constB3, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4223, 1344, 2182, 4, 2181])).
% 4.25/4.42 tff(4225,plain,
% 4.25/4.42 (~v935(constB3)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1650, 4224])).
% 4.25/4.42 tff(4226,plain,
% 4.25/4.42 (~v933(constB2)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1655, 4225])).
% 4.25/4.42 tff(4227,plain,
% 4.25/4.42 (v947(constB2)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2062, 4226])).
% 4.25/4.42 tff(4228,plain,
% 4.25/4.42 (v949(constB3)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1784, 4227])).
% 4.25/4.42 tff(4229,plain,
% 4.25/4.42 (v6(constB3, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1779, 4228])).
% 4.25/4.42 tff(4230,plain,
% 4.25/4.42 (~(constB3 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2050, 4229, 4])).
% 4.25/4.42 tff(4231,plain,
% 4.25/4.42 (v6(constB4, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1750, 4229])).
% 4.25/4.42 tff(4232,plain,
% 4.25/4.42 (~(constB4 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2082, 4231, 4])).
% 4.25/4.42 tff(4233,plain,
% 4.25/4.42 (constB7 = sK293_VarCurr),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4221, 4232, 2301, 4230, 2181, 2182, 4, 1344])).
% 4.25/4.42 tff(4234,plain,
% 4.25/4.42 (~v6(constB7, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2329, 4233, 19])).
% 4.25/4.42 tff(4235,plain,
% 4.25/4.42 (~v935(constB7)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1225, 4234])).
% 4.25/4.42 tff(4236,plain,
% 4.25/4.42 (~v933(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1230, 4235])).
% 4.25/4.42 tff(4237,plain,
% 4.25/4.42 (~v16(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4194, 4236, 4, 2181, 2182, 1344, 2301])).
% 4.25/4.42 tff(4238,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1320, 382, 4236, 4237])).
% 4.25/4.42 tff(4239,plain,(v19(constB6, bitIndex1) | v6(sK293_VarCurr, bitIndex1) | (constB11 = sK293_VarCurr) | (~v6(constB12, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4240,plain,
% 4.25/4.42 (v19(constB6, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4239, 2181, 4, 2182])).
% 4.25/4.42 tff(4241,plain,
% 4.25/4.42 (~(constB7 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4143, 4240, 4])).
% 4.25/4.42 tff(4242,plain,
% 4.25/4.42 (v16(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4051, 3268, 3421, 2182, 3266, 4241, 19, 2181, 2090, 2180, 2179])).
% 4.25/4.42 tff(4243,plain,
% 4.25/4.42 (v947(constB6) | (~v16(constB6))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1328, 400, 4240])).
% 4.25/4.42 tff(4244,plain,
% 4.25/4.42 (v947(constB6)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4243, 4242])).
% 4.25/4.42 tff(4245,plain,
% 4.25/4.42 (v949(constB7)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1314, 4244])).
% 4.25/4.42 tff(4246,plain,
% 4.25/4.42 (v6(constB7, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1309, 4245])).
% 4.25/4.42 tff(4247,plain,
% 4.25/4.42 (v6(constB8, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1280, 4246])).
% 4.25/4.42 tff(4248,plain,
% 4.25/4.42 (~(constB8 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4165, 4247, 4])).
% 4.25/4.42 tff(4249,plain,
% 4.25/4.42 (constB10 = sK293_VarCurr),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4044, 4248, 19, 3421, 2182, 3344, 2090, 3268, 2180, 2181, 4241, 3266, 2179, 2588])).
% 4.25/4.42 tff(4250,plain,
% 4.25/4.42 (~v6(constB10, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3823, 4249, 19])).
% 4.25/4.42 tff(4251,plain,
% 4.25/4.42 (~v6(constB9, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[595, 4250])).
% 4.25/4.42 tff(4252,plain,
% 4.25/4.42 (~v935(constB9)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[628, 4251])).
% 4.25/4.42 tff(4253,plain,
% 4.25/4.42 (~v933(constB8)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[633, 4252])).
% 4.25/4.42 tff(4254,plain,
% 4.25/4.42 (~v19(constB8, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1237, 4253])).
% 4.25/4.42 tff(4255,plain,
% 4.25/4.42 (v19(constB8, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[1259, 4254, 4247])).
% 4.25/4.42 tff(4256,plain,
% 4.25/4.42 (~v6(constB10, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4179, 4249, 4])).
% 4.25/4.42 tff(4257,plain,
% 4.25/4.42 (~v6(constB9, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[736, 4256])).
% 4.25/4.42 tff(4258,plain,
% 4.25/4.42 (~v949(constB9)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[944, 4257])).
% 4.25/4.42 tff(4259,plain,
% 4.25/4.42 (~v947(constB8)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[949, 4258])).
% 4.25/4.42 tff(4260,plain,
% 4.25/4.42 (~v16(constB8)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[957, 400, 4259, 4255])).
% 4.25/4.42 tff(4261,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[637, 382, 4253, 4260])).
% 4.25/4.42 tff(4262,plain,((constB4 = sK293_VarCurr) | v6(sK293_VarCurr, bitIndex1) | (~v6(constB12, bitIndex0)) | (constB9 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB11 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4263,plain,
% 4.25/4.42 (~v6(constB12, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4262, 2090, 2089, 2065, 4, 2032])).
% 4.25/4.42 tff(4264,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB11, constB12)) | v1(constB12) | (~v926(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB11, constB12)) | v1(constB12) | (~v926(constB12)))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4265,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | ((~nextState(constB11, constB12)) | v1(constB12) | (~v926(constB12)))),
% 4.25/4.42 inference(quant_inst,[status(thm)],[])).
% 4.25/4.42 tff(4266,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v926(VarNext)))) | (~nextState(constB11, constB12)) | v1(constB12) | (~v926(constB12))),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4265, 4264])).
% 4.25/4.42 tff(4267,plain,
% 4.25/4.42 (~v926(constB12)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4266, 555, 2349, 2356])).
% 4.25/4.42 tff(4268,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB11, constB12)) | v926(constB12) | (~v925(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB11, constB12)) | v926(constB12) | (~v925(constB12)))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4269,plain,
% 4.25/4.42 (((~nextState(constB11, constB12)) | (~v925(constB12)) | v926(constB12)) <=> ((~nextState(constB11, constB12)) | v926(constB12) | (~v925(constB12)))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4270,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB11, constB12)) | (~v925(constB12)) | v926(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB11, constB12)) | v926(constB12) | (~v925(constB12))))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4269])).
% 4.25/4.42 tff(4271,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB11, constB12)) | (~v925(constB12)) | v926(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB11, constB12)) | v926(constB12) | (~v925(constB12)))),
% 4.25/4.42 inference(transitivity,[status(thm)],[4270, 4268])).
% 4.25/4.42 tff(4272,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | ((~nextState(constB11, constB12)) | (~v925(constB12)) | v926(constB12))),
% 4.25/4.42 inference(quant_inst,[status(thm)],[])).
% 4.25/4.42 tff(4273,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v925(VarNext)) | v926(VarNext))) | (~nextState(constB11, constB12)) | v926(constB12) | (~v925(constB12))),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4272, 4271])).
% 4.25/4.42 tff(4274,plain,
% 4.25/4.42 (v926(constB12) | (~v925(constB12))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4273, 569, 2349])).
% 4.25/4.42 tff(4275,plain,
% 4.25/4.42 (~v925(constB12)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4274, 4267])).
% 4.25/4.42 tff(4276,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB11, bitIndex0)) | (~nextState(constB11, constB12)) | v925(constB12) | v6(constB12, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB11, bitIndex0)) | (~nextState(constB11, constB12)) | v925(constB12) | v6(constB12, bitIndex0))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4277,plain,
% 4.25/4.42 (((~nextState(constB11, constB12)) | (~v6(constB11, bitIndex0)) | v925(constB12) | v6(constB12, bitIndex0)) <=> ((~v6(constB11, bitIndex0)) | (~nextState(constB11, constB12)) | v925(constB12) | v6(constB12, bitIndex0))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4278,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB11, constB12)) | (~v6(constB11, bitIndex0)) | v925(constB12) | v6(constB12, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~v6(constB11, bitIndex0)) | (~nextState(constB11, constB12)) | v925(constB12) | v6(constB12, bitIndex0)))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4277])).
% 4.25/4.42 tff(4279,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB11, constB12)) | (~v6(constB11, bitIndex0)) | v925(constB12) | v6(constB12, bitIndex0))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB11, bitIndex0)) | (~nextState(constB11, constB12)) | v925(constB12) | v6(constB12, bitIndex0))),
% 4.25/4.42 inference(transitivity,[status(thm)],[4278, 4276])).
% 4.25/4.42 tff(4280,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | ((~nextState(constB11, constB12)) | (~v6(constB11, bitIndex0)) | v925(constB12) | v6(constB12, bitIndex0))),
% 4.25/4.42 inference(quant_inst,[status(thm)],[])).
% 4.25/4.42 tff(4281,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex0)) | v925(VarNext) | v6(VarNext, bitIndex0))) | (~v6(constB11, bitIndex0)) | (~nextState(constB11, constB12)) | v925(constB12) | v6(constB12, bitIndex0)),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4280, 4279])).
% 4.25/4.42 tff(4282,plain,
% 4.25/4.42 ((~v6(constB11, bitIndex0)) | v925(constB12) | v6(constB12, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4281, 587, 2349])).
% 4.25/4.42 tff(4283,plain,
% 4.25/4.42 ((~v6(constB11, bitIndex0)) | v6(constB12, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4282, 4275])).
% 4.25/4.42 tff(4284,plain,
% 4.25/4.42 (~v6(constB11, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4283, 4263])).
% 4.25/4.42 tff(4285,plain,
% 4.25/4.42 (~v935(constB11)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[336, 4284])).
% 4.25/4.42 tff(4286,plain,
% 4.25/4.42 (~v933(constB10)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[351, 4285])).
% 4.25/4.42 tff(4287,plain,
% 4.25/4.42 (v947(constB10)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2029, 4286])).
% 4.25/4.42 tff(4288,plain,
% 4.25/4.42 (v949(constB11)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[261, 4287])).
% 4.25/4.42 tff(4289,plain,
% 4.25/4.42 (v6(constB11, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[246, 4288])).
% 4.25/4.42 tff(4290,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB11, constB12)) | v1(constB12) | (~v942(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB11, constB12)) | v1(constB12) | (~v942(constB12)))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4291,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB11, constB12)) | v1(constB12) | (~v942(constB12)))),
% 4.25/4.42 inference(quant_inst,[status(thm)],[])).
% 4.25/4.42 tff(4292,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB11, constB12)) | v1(constB12) | (~v942(constB12))),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4291, 4290])).
% 4.25/4.42 tff(4293,plain,
% 4.25/4.42 (~v942(constB12)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4292, 696, 2349, 2356])).
% 4.25/4.42 tff(4294,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB11, constB12)) | v942(constB12) | (~v941(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB11, constB12)) | v942(constB12) | (~v941(constB12)))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4295,plain,
% 4.25/4.42 (((~nextState(constB11, constB12)) | (~v941(constB12)) | v942(constB12)) <=> ((~nextState(constB11, constB12)) | v942(constB12) | (~v941(constB12)))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4296,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB11, constB12)) | (~v941(constB12)) | v942(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB11, constB12)) | v942(constB12) | (~v941(constB12))))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4295])).
% 4.25/4.42 tff(4297,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB11, constB12)) | (~v941(constB12)) | v942(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB11, constB12)) | v942(constB12) | (~v941(constB12)))),
% 4.25/4.42 inference(transitivity,[status(thm)],[4296, 4294])).
% 4.25/4.42 tff(4298,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB11, constB12)) | (~v941(constB12)) | v942(constB12))),
% 4.25/4.42 inference(quant_inst,[status(thm)],[])).
% 4.25/4.42 tff(4299,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB11, constB12)) | v942(constB12) | (~v941(constB12))),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4298, 4297])).
% 4.25/4.42 tff(4300,plain,
% 4.25/4.42 (v942(constB12) | (~v941(constB12))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4299, 710, 2349])).
% 4.25/4.42 tff(4301,plain,
% 4.25/4.42 (~v941(constB12)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4300, 4293])).
% 4.25/4.42 tff(4302,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB11, bitIndex1)) | (~nextState(constB11, constB12)) | v941(constB12) | v6(constB12, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB11, bitIndex1)) | (~nextState(constB11, constB12)) | v941(constB12) | v6(constB12, bitIndex1))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4303,plain,
% 4.25/4.42 (((~nextState(constB11, constB12)) | (~v6(constB11, bitIndex1)) | v941(constB12) | v6(constB12, bitIndex1)) <=> ((~v6(constB11, bitIndex1)) | (~nextState(constB11, constB12)) | v941(constB12) | v6(constB12, bitIndex1))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4304,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v6(constB11, bitIndex1)) | v941(constB12) | v6(constB12, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~v6(constB11, bitIndex1)) | (~nextState(constB11, constB12)) | v941(constB12) | v6(constB12, bitIndex1)))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4303])).
% 4.25/4.42 tff(4305,plain,
% 4.25/4.42 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v6(constB11, bitIndex1)) | v941(constB12) | v6(constB12, bitIndex1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB11, bitIndex1)) | (~nextState(constB11, constB12)) | v941(constB12) | v6(constB12, bitIndex1))),
% 4.25/4.42 inference(transitivity,[status(thm)],[4304, 4302])).
% 4.25/4.42 tff(4306,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | ((~nextState(constB11, constB12)) | (~v6(constB11, bitIndex1)) | v941(constB12) | v6(constB12, bitIndex1))),
% 4.25/4.42 inference(quant_inst,[status(thm)],[])).
% 4.25/4.42 tff(4307,plain,
% 4.25/4.42 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v6(VarCurr, bitIndex1)) | v941(VarNext) | v6(VarNext, bitIndex1))) | (~v6(constB11, bitIndex1)) | (~nextState(constB11, constB12)) | v941(constB12) | v6(constB12, bitIndex1)),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4306, 4305])).
% 4.25/4.42 tff(4308,plain,
% 4.25/4.42 ((~v6(constB11, bitIndex1)) | v941(constB12) | v6(constB12, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4307, 728, 2349])).
% 4.25/4.42 tff(4309,plain,
% 4.25/4.42 ((~v6(constB11, bitIndex1)) | v6(constB12, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4308, 4301])).
% 4.25/4.42 tff(4310,plain,
% 4.25/4.42 (v6(constB12, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4309, 4289])).
% 4.25/4.42 tff(4311,assumption,(v6(constB12, bitIndex1)), introduced(assumption)).
% 4.25/4.42 tff(4312,plain,
% 4.25/4.42 (~v6(constB18, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3948, 2589, 19])).
% 4.25/4.42 tff(4313,plain,
% 4.25/4.42 (~v6(constB17, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3215, 4312])).
% 4.25/4.42 tff(4314,plain,
% 4.25/4.42 (~v935(constB17)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3194, 4313])).
% 4.25/4.42 tff(4315,plain,
% 4.25/4.42 (~v933(constB16)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3168, 4314])).
% 4.25/4.42 tff(4316,assumption,(v19(constB16, bitIndex0)), introduced(assumption)).
% 4.25/4.42 tff(4317,plain,
% 4.25/4.42 (v933(constB16) | (~v16(constB16))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2857, 364, 4316])).
% 4.25/4.42 tff(4318,plain,
% 4.25/4.42 (~v16(constB16)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4317, 2838])).
% 4.25/4.42 tff(4319,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2841, 382, 2838, 4318])).
% 4.25/4.42 tff(4320,plain,(v933(constB16) | (~v19(constB16, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4321,plain,
% 4.25/4.42 (~v19(constB16, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4320, 4315])).
% 4.25/4.42 tff(4322,plain,
% 4.25/4.42 (v16(constB14)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2985, 382, 2981])).
% 4.25/4.42 tff(4323,plain,
% 4.25/4.42 ((~v16(constB14)) | (~v19(constB14, bitIndex0))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2992, 364, 2981])).
% 4.25/4.42 tff(4324,plain,
% 4.25/4.42 (~v19(constB14, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4323, 4322])).
% 4.25/4.42 tff(4325,assumption,(~v19(constB14, bitIndex0)), introduced(assumption)).
% 4.25/4.42 tff(4326,plain,
% 4.25/4.42 (~v911(constB14)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2997, 416, 4325])).
% 4.25/4.42 tff(4327,assumption,(~v19(constB14, bitIndex1)), introduced(assumption)).
% 4.25/4.42 tff(4328,plain,
% 4.25/4.42 (~v918(constB14)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3010, 539, 4327])).
% 4.25/4.42 tff(4329,plain,
% 4.25/4.42 (~v6(constB14, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3062, 4328, 4326])).
% 4.25/4.42 tff(4330,plain,
% 4.25/4.42 (~v6(constB13, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2466, 4329])).
% 4.25/4.42 tff(4331,plain,
% 4.25/4.42 (~v935(constB13)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2492, 4330])).
% 4.25/4.42 tff(4332,plain,
% 4.25/4.42 (~v933(constB12)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2497, 4331])).
% 4.25/4.42 tff(4333,plain,
% 4.25/4.42 (v16(constB12)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2511, 382, 4332])).
% 4.25/4.42 tff(4334,plain,
% 4.25/4.42 (~v19(constB12, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2513, 4332])).
% 4.25/4.42 tff(4335,assumption,(~v19(constB12, bitIndex0)), introduced(assumption)).
% 4.25/4.42 tff(4336,plain,
% 4.25/4.42 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB12, bitIndex1)) | v19(constB12, bitIndex0) | (~v702(constB12)))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB12, bitIndex1)) | v19(constB12, bitIndex0) | (~v702(constB12)))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4337,plain,
% 4.25/4.42 (((~v6(constB12, bitIndex1)) | (~v702(constB12)) | v19(constB12, bitIndex0)) <=> ((~v6(constB12, bitIndex1)) | v19(constB12, bitIndex0) | (~v702(constB12)))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4338,plain,
% 4.25/4.42 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB12, bitIndex1)) | (~v702(constB12)) | v19(constB12, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB12, bitIndex1)) | v19(constB12, bitIndex0) | (~v702(constB12))))),
% 4.25/4.42 inference(monotonicity,[status(thm)],[4337])).
% 4.25/4.42 tff(4339,plain,
% 4.25/4.42 (((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB12, bitIndex1)) | (~v702(constB12)) | v19(constB12, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB12, bitIndex1)) | v19(constB12, bitIndex0) | (~v702(constB12)))),
% 4.25/4.42 inference(transitivity,[status(thm)],[4338, 4336])).
% 4.25/4.42 tff(4340,plain,
% 4.25/4.42 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | ((~v6(constB12, bitIndex1)) | (~v702(constB12)) | v19(constB12, bitIndex0))),
% 4.25/4.42 inference(quant_inst,[status(thm)],[])).
% 4.25/4.42 tff(4341,plain,
% 4.25/4.42 ((~![VarCurr: $i] : ((~v6(VarCurr, bitIndex1)) | (~v702(VarCurr)) | v19(VarCurr, bitIndex0))) | (~v6(constB12, bitIndex1)) | v19(constB12, bitIndex0) | (~v702(constB12))),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4340, 4339])).
% 4.25/4.42 tff(4342,plain,
% 4.25/4.42 ((~v6(constB12, bitIndex1)) | (~v702(constB12))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4341, 663, 4335])).
% 4.25/4.42 tff(4343,plain,
% 4.25/4.42 (~v702(constB12)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4342, 4311])).
% 4.25/4.42 tff(4344,assumption,(~v19(constB12, bitIndex1)), introduced(assumption)).
% 4.25/4.42 tff(4345,plain,
% 4.25/4.42 (((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB12) | (~v6(constB12, bitIndex1)) | v19(constB12, bitIndex1))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB12) | (~v6(constB12, bitIndex1)) | v19(constB12, bitIndex1))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4346,plain,
% 4.25/4.42 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | (v702(constB12) | (~v6(constB12, bitIndex1)) | v19(constB12, bitIndex1))),
% 4.25/4.42 inference(quant_inst,[status(thm)],[])).
% 4.25/4.42 tff(4347,plain,
% 4.25/4.42 ((~![VarCurr: $i] : (v702(VarCurr) | (~v6(VarCurr, bitIndex1)) | v19(VarCurr, bitIndex1))) | v702(constB12) | (~v6(constB12, bitIndex1)) | v19(constB12, bitIndex1)),
% 4.25/4.42 inference(modus_ponens,[status(thm)],[4346, 4345])).
% 4.25/4.42 tff(4348,plain,
% 4.25/4.42 (v702(constB12) | (~v6(constB12, bitIndex1))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4347, 679, 4344])).
% 4.25/4.42 tff(4349,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4348, 4343, 4311])).
% 4.25/4.42 tff(4350,plain,((~v6(constB12, bitIndex1)) | v19(constB12, bitIndex1) | v19(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4351,plain,
% 4.25/4.42 (v19(constB12, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4350, 4334, 4311])).
% 4.25/4.42 tff(4352,plain,
% 4.25/4.42 (v947(constB12) | (~v16(constB12))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2526, 400, 4351])).
% 4.25/4.42 tff(4353,plain,
% 4.25/4.42 (v947(constB12)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4352, 4333])).
% 4.25/4.42 tff(4354,plain,
% 4.25/4.42 (v949(constB13)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2437, 4353])).
% 4.25/4.42 tff(4355,plain,
% 4.25/4.42 (v6(constB13, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2432, 4354])).
% 4.25/4.42 tff(4356,plain,
% 4.25/4.42 (v6(constB14, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2396, 4355])).
% 4.25/4.42 tff(4357,plain,
% 4.25/4.42 ((~v6(constB14, bitIndex1)) | (~v702(constB14))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3088, 663, 4325])).
% 4.25/4.42 tff(4358,plain,
% 4.25/4.42 (~v702(constB14)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4357, 4356])).
% 4.25/4.42 tff(4359,plain,
% 4.25/4.42 (v702(constB14) | (~v6(constB14, bitIndex1))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3080, 679, 4327])).
% 4.25/4.42 tff(4360,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4359, 4358, 4356])).
% 4.25/4.42 tff(4361,plain,(v19(constB14, bitIndex1) | v19(constB14, bitIndex0) | (~v6(constB12, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4362,plain,
% 4.25/4.42 (v19(constB14, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4361, 4324, 4311])).
% 4.25/4.42 tff(4363,plain,
% 4.25/4.42 (v947(constB14) | (~v19(constB14, bitIndex1))),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3005, 400, 4322])).
% 4.25/4.42 tff(4364,plain,
% 4.25/4.42 (v947(constB14)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4363, 4362])).
% 4.25/4.42 tff(4365,plain,
% 4.25/4.42 (v949(constB15)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3096, 4364])).
% 4.25/4.42 tff(4366,plain,
% 4.25/4.42 (v6(constB15, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3125, 4365])).
% 4.25/4.42 tff(4367,plain,
% 4.25/4.42 (v6(constB16, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3146, 4366])).
% 4.25/4.42 tff(4368,plain,
% 4.25/4.42 (~v702(constB16)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3154, 4367])).
% 4.25/4.42 tff(4369,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[3159, 4368, 4367])).
% 4.25/4.42 tff(4370,plain,(v19(constB16, bitIndex1) | v19(constB16, bitIndex0) | (~v6(constB12, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4371,plain,
% 4.25/4.42 (v19(constB16, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4370, 4321, 4311])).
% 4.25/4.42 tff(4372,plain,
% 4.25/4.42 (v16(constB16)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2841, 382, 4315])).
% 4.25/4.42 tff(4373,plain,
% 4.25/4.42 (~v19(constB18, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2756, 2685])).
% 4.25/4.42 tff(4374,plain,
% 4.25/4.42 (v19(constB18, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2774, 4373, 2758])).
% 4.25/4.42 tff(4375,plain,
% 4.25/4.42 (~v16(constB18)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2739, 400, 2727, 4374])).
% 4.25/4.42 tff(4376,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2731, 382, 2685, 4375])).
% 4.25/4.42 tff(4377,plain,((~(constB19 = sK293_VarCurr)) | (~v6(constB18, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4378,plain,
% 4.25/4.42 (~v6(constB18, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4377, 2589, 4])).
% 4.25/4.42 tff(4379,plain,
% 4.25/4.42 (~v6(constB17, bitIndex1)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2795, 4378])).
% 4.25/4.42 tff(4380,plain,
% 4.25/4.42 (~v949(constB17)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2831, 4379])).
% 4.25/4.42 tff(4381,plain,
% 4.25/4.42 (~v947(constB16)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2836, 4380])).
% 4.25/4.42 tff(4382,plain,
% 4.25/4.42 ($false),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2849, 400, 4381, 4372, 4371])).
% 4.25/4.42 tff(4383,plain,((~(constB19 = sK293_VarCurr)) | (~v6(constB12, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.42 tff(4384,plain,
% 4.25/4.42 (~(constB19 = sK293_VarCurr)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4383, 4310, 4])).
% 4.25/4.42 tff(4385,plain,
% 4.25/4.42 (~v6(constB12, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4239, 2181, 4, 1344])).
% 4.25/4.42 tff(4386,plain,
% 4.25/4.42 (~v6(constB11, bitIndex0)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[4283, 4385])).
% 4.25/4.42 tff(4387,plain,
% 4.25/4.42 (~v935(constB11)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[336, 4386])).
% 4.25/4.42 tff(4388,plain,
% 4.25/4.42 (~v933(constB10)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[351, 4387])).
% 4.25/4.42 tff(4389,plain,
% 4.25/4.42 (v947(constB10)),
% 4.25/4.42 inference(unit_resolution,[status(thm)],[2029, 4388])).
% 4.25/4.42 tff(4390,assumption,(v947(constB10)), introduced(assumption)).
% 4.25/4.42 tff(4391,plain,
% 4.25/4.42 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex1))),
% 4.25/4.42 inference(rewrite,[status(thm)],[])).
% 4.25/4.42 tff(4392,plain,
% 4.25/4.43 (((~v16(constB10)) | v19(constB10, bitIndex1) | (~v947(constB10))) <=> ((~v947(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex1))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4393,plain,
% 4.25/4.43 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB10)) | v19(constB10, bitIndex1) | (~v947(constB10)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex1)))),
% 4.25/4.43 inference(monotonicity,[status(thm)],[4392])).
% 4.25/4.43 tff(4394,plain,
% 4.25/4.43 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB10)) | v19(constB10, bitIndex1) | (~v947(constB10)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex1))),
% 4.25/4.43 inference(transitivity,[status(thm)],[4393, 4391])).
% 4.25/4.43 tff(4395,plain,
% 4.25/4.43 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB10)) | v19(constB10, bitIndex1) | (~v947(constB10)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4396,plain,
% 4.25/4.43 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex1)),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4395, 4394])).
% 4.25/4.43 tff(4397,plain,
% 4.25/4.43 ((~v947(constB10)) | (~v16(constB10))),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4396, 4063, 669])).
% 4.25/4.43 tff(4398,plain,
% 4.25/4.43 (~v16(constB10)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4397, 4390])).
% 4.25/4.43 tff(4399,plain,
% 4.25/4.43 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB10) | (~v947(constB10)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB10) | (~v947(constB10)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4400,plain,
% 4.25/4.43 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB10) | (~v947(constB10)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4401,plain,
% 4.25/4.43 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB10) | (~v947(constB10))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4400, 4399])).
% 4.25/4.43 tff(4402,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4401, 1913, 4390, 4398])).
% 4.25/4.43 tff(4403,plain,((~v947(constB10)) | v19(constB10, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4404,plain,
% 4.25/4.43 (v19(constB10, bitIndex1)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4403, 4389])).
% 4.25/4.43 tff(4405,plain,
% 4.25/4.43 (~v19(constB10, bitIndex0)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[387, 4388])).
% 4.25/4.43 tff(4406,plain,
% 4.25/4.43 (~v911(constB10)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[419, 416, 4405])).
% 4.25/4.43 tff(4407,assumption,(~v6(constB8, bitIndex0)), introduced(assumption)).
% 4.25/4.43 tff(4408,plain,
% 4.25/4.43 (~v6(constB7, bitIndex0)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[1192, 4407])).
% 4.25/4.43 tff(4409,plain,
% 4.25/4.43 (~v935(constB7)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[1225, 4408])).
% 4.25/4.43 tff(4410,plain,
% 4.25/4.43 (~v933(constB6)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[1230, 4409])).
% 4.25/4.43 tff(4411,plain,
% 4.25/4.43 (v16(constB6)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[1320, 382, 4410])).
% 4.25/4.43 tff(4412,plain,
% 4.25/4.43 (~v947(constB6)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4069, 4063, 4411, 1344])).
% 4.25/4.43 tff(4413,plain,
% 4.25/4.43 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext))))),
% 4.25/4.43 inference(bind,[status(th)],[])).
% 4.25/4.43 tff(4414,plain,
% 4.25/4.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))),
% 4.25/4.43 inference(quant_intro,[status(thm)],[4413])).
% 4.25/4.43 tff(4415,plain,
% 4.25/4.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4416,plain,
% 4.25/4.43 (^[VarNext: $i, VarCurr: $i] : rewrite(((v947(VarCurr) | (~v949(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext))))),
% 4.25/4.43 inference(bind,[status(th)],[])).
% 4.25/4.43 tff(4417,plain,
% 4.25/4.43 (![VarNext: $i, VarCurr: $i] : ((v947(VarCurr) | (~v949(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))),
% 4.25/4.43 inference(quant_intro,[status(thm)],[4416])).
% 4.25/4.43 tff(4418,axiom,(![VarNext: $i, VarCurr: $i] : ((v947(VarCurr) | (~v949(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9851')).
% 4.25/4.43 tff(4419,plain,
% 4.25/4.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4418, 4417])).
% 4.25/4.43 tff(4420,plain,
% 4.25/4.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4419, 4415])).
% 4.25/4.43 tff(4421,plain,(
% 4.25/4.43 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))),
% 4.25/4.43 inference(skolemize,[status(sab)],[4420])).
% 4.25/4.43 tff(4422,plain,
% 4.25/4.43 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4421, 4414])).
% 4.25/4.43 tff(4423,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB6, constB7)) | v947(constB6) | (~v949(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB6, constB7)) | v947(constB6) | (~v949(constB7)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4424,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB6, constB7)) | v947(constB6) | (~v949(constB7)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4425,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB6, constB7)) | v947(constB6) | (~v949(constB7))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4424, 4423])).
% 4.25/4.43 tff(4426,plain,
% 4.25/4.43 (v947(constB6) | (~v949(constB7))),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4425, 4422, 114])).
% 4.25/4.43 tff(4427,plain,
% 4.25/4.43 (~v949(constB7)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4426, 4412])).
% 4.25/4.43 tff(4428,plain,
% 4.25/4.43 (^[VarNext: $i] : refl(((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext)) <=> ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext)))),
% 4.25/4.43 inference(bind,[status(th)],[])).
% 4.25/4.43 tff(4429,plain,
% 4.25/4.43 (![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext)) <=> ![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))),
% 4.25/4.43 inference(quant_intro,[status(thm)],[4428])).
% 4.25/4.43 tff(4430,plain,
% 4.25/4.43 (![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext)) <=> ![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4431,plain,
% 4.25/4.43 (^[VarNext: $i] : rewrite(((v949(VarNext) | (~v6(VarNext, bitIndex1))) | (~v941(VarNext))) <=> ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext)))),
% 4.25/4.43 inference(bind,[status(th)],[])).
% 4.25/4.43 tff(4432,plain,
% 4.25/4.43 (![VarNext: $i] : ((v949(VarNext) | (~v6(VarNext, bitIndex1))) | (~v941(VarNext))) <=> ![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))),
% 4.25/4.43 inference(quant_intro,[status(thm)],[4431])).
% 4.25/4.43 tff(4433,axiom,(![VarNext: $i] : ((v949(VarNext) | (~v6(VarNext, bitIndex1))) | (~v941(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9847')).
% 4.25/4.43 tff(4434,plain,
% 4.25/4.43 (![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4433, 4432])).
% 4.25/4.43 tff(4435,plain,
% 4.25/4.43 (![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4434, 4430])).
% 4.25/4.43 tff(4436,plain,(
% 4.25/4.43 ![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))),
% 4.25/4.43 inference(skolemize,[status(sab)],[4435])).
% 4.25/4.43 tff(4437,plain,
% 4.25/4.43 (![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4436, 4429])).
% 4.25/4.43 tff(4438,plain,
% 4.25/4.43 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB7, bitIndex1)) | v949(constB7) | (~v941(constB7)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB7, bitIndex1)) | v949(constB7) | (~v941(constB7)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4439,plain,
% 4.25/4.43 (((~v6(constB7, bitIndex1)) | (~v941(constB7)) | v949(constB7)) <=> ((~v6(constB7, bitIndex1)) | v949(constB7) | (~v941(constB7)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4440,plain,
% 4.25/4.43 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB7, bitIndex1)) | (~v941(constB7)) | v949(constB7))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB7, bitIndex1)) | v949(constB7) | (~v941(constB7))))),
% 4.25/4.43 inference(monotonicity,[status(thm)],[4439])).
% 4.25/4.43 tff(4441,plain,
% 4.25/4.43 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB7, bitIndex1)) | (~v941(constB7)) | v949(constB7))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB7, bitIndex1)) | v949(constB7) | (~v941(constB7)))),
% 4.25/4.43 inference(transitivity,[status(thm)],[4440, 4438])).
% 4.25/4.43 tff(4442,plain,
% 4.25/4.43 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB7, bitIndex1)) | (~v941(constB7)) | v949(constB7))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4443,plain,
% 4.25/4.43 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB7, bitIndex1)) | v949(constB7) | (~v941(constB7))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4442, 4441])).
% 4.25/4.43 tff(4444,plain,
% 4.25/4.43 ((~v6(constB7, bitIndex1)) | v949(constB7)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4443, 4437, 1302])).
% 4.25/4.43 tff(4445,plain,
% 4.25/4.43 (~v6(constB7, bitIndex1)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4444, 4427])).
% 4.25/4.43 tff(4446,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v941(constB8) | (~v6(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v941(constB8) | (~v6(constB8, bitIndex1)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4447,plain,
% 4.25/4.43 (((~nextState(constB7, constB8)) | v6(constB7, bitIndex1) | v941(constB8) | (~v6(constB8, bitIndex1))) <=> (v6(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v941(constB8) | (~v6(constB8, bitIndex1)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4448,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v6(constB7, bitIndex1) | v941(constB8) | (~v6(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v941(constB8) | (~v6(constB8, bitIndex1))))),
% 4.25/4.43 inference(monotonicity,[status(thm)],[4447])).
% 4.25/4.43 tff(4449,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v6(constB7, bitIndex1) | v941(constB8) | (~v6(constB8, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v941(constB8) | (~v6(constB8, bitIndex1)))),
% 4.25/4.43 inference(transitivity,[status(thm)],[4448, 4446])).
% 4.25/4.43 tff(4450,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB7, constB8)) | v6(constB7, bitIndex1) | v941(constB8) | (~v6(constB8, bitIndex1)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4451,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB7, bitIndex1) | (~nextState(constB7, constB8)) | v941(constB8) | (~v6(constB8, bitIndex1))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4450, 4449])).
% 4.25/4.43 tff(4452,plain,
% 4.25/4.43 (v6(constB7, bitIndex1) | v941(constB8) | (~v6(constB8, bitIndex1))),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4451, 2242, 124])).
% 4.25/4.43 tff(4453,plain,
% 4.25/4.43 (v6(constB7, bitIndex1) | (~v6(constB8, bitIndex1))),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4452, 1272])).
% 4.25/4.43 tff(4454,plain,
% 4.25/4.43 (~v6(constB8, bitIndex1)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4453, 4445])).
% 4.25/4.43 tff(4455,plain,
% 4.25/4.43 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB8, bitIndex0) | (~v918(constB8)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB8, bitIndex0) | (~v918(constB8)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4456,plain,
% 4.25/4.43 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB8, bitIndex0) | (~v918(constB8)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4457,plain,
% 4.25/4.43 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB8, bitIndex0) | (~v918(constB8))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4456, 4455])).
% 4.25/4.43 tff(4458,plain,
% 4.25/4.43 (~v918(constB8)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4457, 645, 4407])).
% 4.25/4.43 tff(4459,plain,
% 4.25/4.43 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB8, bitIndex1) | (~v19(constB8, bitIndex1)) | v918(constB8))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB8, bitIndex1) | (~v19(constB8, bitIndex1)) | v918(constB8))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4460,plain,
% 4.25/4.43 ((v6(constB8, bitIndex1) | v918(constB8) | (~v19(constB8, bitIndex1))) <=> (v6(constB8, bitIndex1) | (~v19(constB8, bitIndex1)) | v918(constB8))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4461,plain,
% 4.25/4.43 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB8, bitIndex1) | v918(constB8) | (~v19(constB8, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB8, bitIndex1) | (~v19(constB8, bitIndex1)) | v918(constB8)))),
% 4.25/4.43 inference(monotonicity,[status(thm)],[4460])).
% 4.25/4.43 tff(4462,plain,
% 4.25/4.43 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB8, bitIndex1) | v918(constB8) | (~v19(constB8, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB8, bitIndex1) | (~v19(constB8, bitIndex1)) | v918(constB8))),
% 4.25/4.43 inference(transitivity,[status(thm)],[4461, 4459])).
% 4.25/4.43 tff(4463,plain,
% 4.25/4.43 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB8, bitIndex1) | v918(constB8) | (~v19(constB8, bitIndex1)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4464,plain,
% 4.25/4.43 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB8, bitIndex1) | (~v19(constB8, bitIndex1)) | v918(constB8)),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4463, 4462])).
% 4.25/4.43 tff(4465,plain,
% 4.25/4.43 (v6(constB8, bitIndex1) | (~v19(constB8, bitIndex1))),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4464, 747, 4458])).
% 4.25/4.43 tff(4466,plain,
% 4.25/4.43 (~v19(constB8, bitIndex1)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4465, 4454])).
% 4.25/4.43 tff(4467,assumption,(~v16(constB8)), introduced(assumption)).
% 4.25/4.43 tff(4468,assumption,(v902(constB8, bitIndex4)), introduced(assumption)).
% 4.25/4.43 tff(4469,plain,
% 4.25/4.43 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex4)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex4)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4470,plain,
% 4.25/4.43 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex4)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4471,plain,
% 4.25/4.43 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex4))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4470, 4469])).
% 4.25/4.43 tff(4472,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4471, 3438, 4467, 4468])).
% 4.25/4.43 tff(4473,plain,((~v902(constB8, bitIndex4)) | v16(constB8)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4474,plain,
% 4.25/4.43 (~v902(constB8, bitIndex4)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4473, 4467])).
% 4.25/4.43 tff(4475,assumption,(v904(constB9, bitIndex4)), introduced(assumption)).
% 4.25/4.43 tff(4476,assumption,(~v902(constB8, bitIndex4)), introduced(assumption)).
% 4.25/4.43 tff(4477,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex4)) | v902(constB8, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex4)) | v902(constB8, bitIndex4))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4478,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex4)) | v902(constB8, bitIndex4))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4479,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex4)) | v902(constB8, bitIndex4)),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4478, 4477])).
% 4.25/4.43 tff(4480,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4479, 3456, 134, 4476, 4475])).
% 4.25/4.43 tff(4481,plain,((~v904(constB9, bitIndex4)) | v902(constB8, bitIndex4)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4482,plain,
% 4.25/4.43 (~v904(constB9, bitIndex4)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4481, 4474])).
% 4.25/4.43 tff(4483,assumption,(v25(constB9, bitIndex4)), introduced(assumption)).
% 4.25/4.43 tff(4484,assumption,(~v904(constB9, bitIndex4)), introduced(assumption)).
% 4.25/4.43 tff(4485,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB8) | (~nextState(constB8, constB9)) | (~v898(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB8) | (~nextState(constB8, constB9)) | (~v898(constB9)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4486,plain,
% 4.25/4.43 (((~nextState(constB8, constB9)) | v1(constB8) | (~v898(constB9))) <=> (v1(constB8) | (~nextState(constB8, constB9)) | (~v898(constB9)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4487,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB8, constB9)) | v1(constB8) | (~v898(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB8) | (~nextState(constB8, constB9)) | (~v898(constB9))))),
% 4.25/4.43 inference(monotonicity,[status(thm)],[4486])).
% 4.25/4.43 tff(4488,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB8, constB9)) | v1(constB8) | (~v898(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB8) | (~nextState(constB8, constB9)) | (~v898(constB9)))),
% 4.25/4.43 inference(transitivity,[status(thm)],[4487, 4485])).
% 4.25/4.43 tff(4489,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB8, constB9)) | v1(constB8) | (~v898(constB9)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4490,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB8) | (~nextState(constB8, constB9)) | (~v898(constB9))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4489, 4488])).
% 4.25/4.43 tff(4491,plain,
% 4.25/4.43 (~v898(constB9)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4490, 3474, 134, 131])).
% 4.25/4.43 tff(4492,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB8, constB9)) | v896(constB9) | v898(constB9))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB8, constB9)) | v896(constB9) | v898(constB9))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4493,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB8, constB9)) | v896(constB9) | v898(constB9))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4494,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB8, constB9)) | v896(constB9) | v898(constB9)),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4493, 4492])).
% 4.25/4.43 tff(4495,plain,
% 4.25/4.43 (v896(constB9) | v898(constB9)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4494, 3491, 134])).
% 4.25/4.43 tff(4496,plain,
% 4.25/4.43 (v896(constB9)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4495, 4491])).
% 4.25/4.43 tff(4497,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB8, constB9)) | (~v1(constB9)) | v895(constB9) | (~v896(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB8, constB9)) | (~v1(constB9)) | v895(constB9) | (~v896(constB9)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4498,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB8, constB9)) | (~v1(constB9)) | v895(constB9) | (~v896(constB9)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4499,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB8, constB9)) | (~v1(constB9)) | v895(constB9) | (~v896(constB9))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4498, 4497])).
% 4.25/4.43 tff(4500,plain,
% 4.25/4.43 (v895(constB9) | (~v896(constB9))),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4499, 3506, 134, 141])).
% 4.25/4.43 tff(4501,plain,
% 4.25/4.43 (v895(constB9)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4500, 4496])).
% 4.25/4.43 tff(4502,plain,
% 4.25/4.43 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB8, constB9)) | v894(constB9) | (~v895(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB8, constB9)) | v894(constB9) | (~v895(constB9)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4503,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB8, constB9)) | v894(constB9) | (~v895(constB9)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4504,plain,
% 4.25/4.43 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB8, constB9)) | v894(constB9) | (~v895(constB9))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4503, 4502])).
% 4.25/4.43 tff(4505,plain,
% 4.25/4.43 (v894(constB9) | (~v895(constB9))),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4504, 3521, 134])).
% 4.25/4.43 tff(4506,plain,
% 4.25/4.43 (v894(constB9)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4505, 4501])).
% 4.25/4.43 tff(4507,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex4)) | v904(constB9, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex4)) | v904(constB9, bitIndex4))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4508,plain,
% 4.25/4.43 (((~v25(constB9, bitIndex4)) | (~v894(constB9)) | v904(constB9, bitIndex4)) <=> ((~v894(constB9)) | (~v25(constB9, bitIndex4)) | v904(constB9, bitIndex4))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4509,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex4)) | (~v894(constB9)) | v904(constB9, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex4)) | v904(constB9, bitIndex4)))),
% 4.25/4.43 inference(monotonicity,[status(thm)],[4508])).
% 4.25/4.43 tff(4510,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex4)) | (~v894(constB9)) | v904(constB9, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex4)) | v904(constB9, bitIndex4))),
% 4.25/4.43 inference(transitivity,[status(thm)],[4509, 4507])).
% 4.25/4.43 tff(4511,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex4)) | (~v894(constB9)) | v904(constB9, bitIndex4))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4512,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex4)) | v904(constB9, bitIndex4)),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4511, 4510])).
% 4.25/4.43 tff(4513,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4512, 3536, 4506, 4484, 4483])).
% 4.25/4.43 tff(4514,plain,((~v25(constB9, bitIndex4)) | v904(constB9, bitIndex4)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4515,plain,
% 4.25/4.43 (~v25(constB9, bitIndex4)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4514, 4482])).
% 4.25/4.43 tff(4516,assumption,(v902(constB8, bitIndex1)), introduced(assumption)).
% 4.25/4.43 tff(4517,plain,
% 4.25/4.43 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex1)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4518,plain,
% 4.25/4.43 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex1)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4519,plain,
% 4.25/4.43 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex1))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4518, 4517])).
% 4.25/4.43 tff(4520,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4519, 3438, 4467, 4516])).
% 4.25/4.43 tff(4521,plain,((~v902(constB8, bitIndex1)) | v16(constB8)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4522,plain,
% 4.25/4.43 (~v902(constB8, bitIndex1)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4521, 4467])).
% 4.25/4.43 tff(4523,assumption,(v904(constB9, bitIndex1)), introduced(assumption)).
% 4.25/4.43 tff(4524,assumption,(~v902(constB8, bitIndex1)), introduced(assumption)).
% 4.25/4.43 tff(4525,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex1)) | v902(constB8, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex1)) | v902(constB8, bitIndex1))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4526,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex1)) | v902(constB8, bitIndex1))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4527,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex1)) | v902(constB8, bitIndex1)),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4526, 4525])).
% 4.25/4.43 tff(4528,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4527, 3456, 134, 4524, 4523])).
% 4.25/4.43 tff(4529,plain,((~v904(constB9, bitIndex1)) | v902(constB8, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4530,plain,
% 4.25/4.43 (~v904(constB9, bitIndex1)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4529, 4522])).
% 4.25/4.43 tff(4531,assumption,(~v904(constB9, bitIndex1)), introduced(assumption)).
% 4.25/4.43 tff(4532,assumption,(v25(constB9, bitIndex1)), introduced(assumption)).
% 4.25/4.43 tff(4533,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex1)) | v904(constB9, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex1)) | v904(constB9, bitIndex1))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4534,plain,
% 4.25/4.43 (((~v25(constB9, bitIndex1)) | (~v894(constB9)) | v904(constB9, bitIndex1)) <=> ((~v894(constB9)) | (~v25(constB9, bitIndex1)) | v904(constB9, bitIndex1))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4535,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex1)) | (~v894(constB9)) | v904(constB9, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex1)) | v904(constB9, bitIndex1)))),
% 4.25/4.43 inference(monotonicity,[status(thm)],[4534])).
% 4.25/4.43 tff(4536,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex1)) | (~v894(constB9)) | v904(constB9, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex1)) | v904(constB9, bitIndex1))),
% 4.25/4.43 inference(transitivity,[status(thm)],[4535, 4533])).
% 4.25/4.43 tff(4537,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex1)) | (~v894(constB9)) | v904(constB9, bitIndex1))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4538,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex1)) | v904(constB9, bitIndex1)),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4537, 4536])).
% 4.25/4.43 tff(4539,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4538, 3536, 4506, 4532, 4531])).
% 4.25/4.43 tff(4540,plain,((~v25(constB9, bitIndex1)) | v904(constB9, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4541,plain,
% 4.25/4.43 (~v25(constB9, bitIndex1)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4540, 4530])).
% 4.25/4.43 tff(4542,assumption,(v902(constB8, bitIndex3)), introduced(assumption)).
% 4.25/4.43 tff(4543,plain,
% 4.25/4.43 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex3)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex3)))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4544,plain,
% 4.25/4.43 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex3)))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4545,plain,
% 4.25/4.43 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex3))),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4544, 4543])).
% 4.25/4.43 tff(4546,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4545, 3438, 4467, 4542])).
% 4.25/4.43 tff(4547,plain,((~v902(constB8, bitIndex3)) | v16(constB8)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4548,plain,
% 4.25/4.43 (~v902(constB8, bitIndex3)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4547, 4467])).
% 4.25/4.43 tff(4549,assumption,(v904(constB9, bitIndex3)), introduced(assumption)).
% 4.25/4.43 tff(4550,assumption,(~v902(constB8, bitIndex3)), introduced(assumption)).
% 4.25/4.43 tff(4551,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex3)) | v902(constB8, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex3)) | v902(constB8, bitIndex3))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4552,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex3)) | v902(constB8, bitIndex3))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4553,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex3)) | v902(constB8, bitIndex3)),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4552, 4551])).
% 4.25/4.43 tff(4554,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4553, 3456, 134, 4550, 4549])).
% 4.25/4.43 tff(4555,plain,((~v904(constB9, bitIndex3)) | v902(constB8, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4556,plain,
% 4.25/4.43 (~v904(constB9, bitIndex3)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4555, 4548])).
% 4.25/4.43 tff(4557,assumption,(~v904(constB9, bitIndex3)), introduced(assumption)).
% 4.25/4.43 tff(4558,assumption,(v25(constB9, bitIndex3)), introduced(assumption)).
% 4.25/4.43 tff(4559,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex3)) | v904(constB9, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex3)) | v904(constB9, bitIndex3))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4560,plain,
% 4.25/4.43 (((~v25(constB9, bitIndex3)) | (~v894(constB9)) | v904(constB9, bitIndex3)) <=> ((~v894(constB9)) | (~v25(constB9, bitIndex3)) | v904(constB9, bitIndex3))),
% 4.25/4.43 inference(rewrite,[status(thm)],[])).
% 4.25/4.43 tff(4561,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex3)) | (~v894(constB9)) | v904(constB9, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex3)) | v904(constB9, bitIndex3)))),
% 4.25/4.43 inference(monotonicity,[status(thm)],[4560])).
% 4.25/4.43 tff(4562,plain,
% 4.25/4.43 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex3)) | (~v894(constB9)) | v904(constB9, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex3)) | v904(constB9, bitIndex3))),
% 4.25/4.43 inference(transitivity,[status(thm)],[4561, 4559])).
% 4.25/4.43 tff(4563,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex3)) | (~v894(constB9)) | v904(constB9, bitIndex3))),
% 4.25/4.43 inference(quant_inst,[status(thm)],[])).
% 4.25/4.43 tff(4564,plain,
% 4.25/4.43 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex3)) | v904(constB9, bitIndex3)),
% 4.25/4.43 inference(modus_ponens,[status(thm)],[4563, 4562])).
% 4.25/4.43 tff(4565,plain,
% 4.25/4.43 ($false),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4564, 3536, 4506, 4558, 4557])).
% 4.25/4.43 tff(4566,plain,((~v25(constB9, bitIndex3)) | v904(constB9, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.43 tff(4567,plain,
% 4.25/4.43 (~v25(constB9, bitIndex3)),
% 4.25/4.43 inference(unit_resolution,[status(thm)],[4566, 4556])).
% 4.25/4.43 tff(4568,assumption,(v902(constB8, bitIndex2)), introduced(assumption)).
% 4.25/4.44 tff(4569,plain,
% 4.25/4.44 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex2)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4570,plain,
% 4.25/4.44 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex2)))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4571,plain,
% 4.25/4.44 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex2))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4570, 4569])).
% 4.25/4.44 tff(4572,plain,
% 4.25/4.44 ($false),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4571, 3438, 4467, 4568])).
% 4.25/4.44 tff(4573,plain,((~v902(constB8, bitIndex2)) | v16(constB8)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.44 tff(4574,plain,
% 4.25/4.44 (~v902(constB8, bitIndex2)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4573, 4467])).
% 4.25/4.44 tff(4575,assumption,(v904(constB9, bitIndex2)), introduced(assumption)).
% 4.25/4.44 tff(4576,assumption,(~v902(constB8, bitIndex2)), introduced(assumption)).
% 4.25/4.44 tff(4577,plain,
% 4.25/4.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex2)) | v902(constB8, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex2)) | v902(constB8, bitIndex2))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4578,plain,
% 4.25/4.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex2)) | v902(constB8, bitIndex2))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4579,plain,
% 4.25/4.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex2)) | v902(constB8, bitIndex2)),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4578, 4577])).
% 4.25/4.44 tff(4580,plain,
% 4.25/4.44 ($false),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4579, 3456, 134, 4576, 4575])).
% 4.25/4.44 tff(4581,plain,((~v904(constB9, bitIndex2)) | v902(constB8, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.44 tff(4582,plain,
% 4.25/4.44 (~v904(constB9, bitIndex2)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4581, 4574])).
% 4.25/4.44 tff(4583,assumption,(~v904(constB9, bitIndex2)), introduced(assumption)).
% 4.25/4.44 tff(4584,assumption,(v25(constB9, bitIndex2)), introduced(assumption)).
% 4.25/4.44 tff(4585,plain,
% 4.25/4.44 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex2)) | v904(constB9, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex2)) | v904(constB9, bitIndex2))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4586,plain,
% 4.25/4.44 (((~v25(constB9, bitIndex2)) | (~v894(constB9)) | v904(constB9, bitIndex2)) <=> ((~v894(constB9)) | (~v25(constB9, bitIndex2)) | v904(constB9, bitIndex2))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4587,plain,
% 4.25/4.44 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex2)) | (~v894(constB9)) | v904(constB9, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex2)) | v904(constB9, bitIndex2)))),
% 4.25/4.44 inference(monotonicity,[status(thm)],[4586])).
% 4.25/4.44 tff(4588,plain,
% 4.25/4.44 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex2)) | (~v894(constB9)) | v904(constB9, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex2)) | v904(constB9, bitIndex2))),
% 4.25/4.44 inference(transitivity,[status(thm)],[4587, 4585])).
% 4.25/4.44 tff(4589,plain,
% 4.25/4.44 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex2)) | (~v894(constB9)) | v904(constB9, bitIndex2))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4590,plain,
% 4.25/4.44 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex2)) | v904(constB9, bitIndex2)),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4589, 4588])).
% 4.25/4.44 tff(4591,plain,
% 4.25/4.44 ($false),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4590, 3536, 4506, 4584, 4583])).
% 4.25/4.44 tff(4592,plain,((~v25(constB9, bitIndex2)) | v904(constB9, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.44 tff(4593,plain,
% 4.25/4.44 (~v25(constB9, bitIndex2)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4592, 4582])).
% 4.25/4.44 tff(4594,assumption,(v902(constB8, bitIndex0)), introduced(assumption)).
% 4.25/4.44 tff(4595,plain,
% 4.25/4.44 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex0)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4596,plain,
% 4.25/4.44 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB8) | (~v902(constB8, bitIndex0)))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4597,plain,
% 4.25/4.44 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB8) | (~v902(constB8, bitIndex0))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4596, 4595])).
% 4.25/4.44 tff(4598,plain,
% 4.25/4.44 ($false),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4597, 3438, 4467, 4594])).
% 4.25/4.44 tff(4599,plain,((~v902(constB8, bitIndex0)) | v16(constB8)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.44 tff(4600,plain,
% 4.25/4.44 (~v902(constB8, bitIndex0)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4599, 4467])).
% 4.25/4.44 tff(4601,assumption,(v904(constB9, bitIndex0)), introduced(assumption)).
% 4.25/4.44 tff(4602,assumption,(~v902(constB8, bitIndex0)), introduced(assumption)).
% 4.25/4.44 tff(4603,plain,
% 4.25/4.44 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex0)) | v902(constB8, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex0)) | v902(constB8, bitIndex0))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4604,plain,
% 4.25/4.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB8, constB9)) | (~v904(constB9, bitIndex0)) | v902(constB8, bitIndex0))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4605,plain,
% 4.25/4.44 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB8, constB9)) | (~v904(constB9, bitIndex0)) | v902(constB8, bitIndex0)),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4604, 4603])).
% 4.25/4.44 tff(4606,plain,
% 4.25/4.44 ($false),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4605, 3456, 134, 4602, 4601])).
% 4.25/4.44 tff(4607,plain,((~v904(constB9, bitIndex0)) | v902(constB8, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.44 tff(4608,plain,
% 4.25/4.44 (~v904(constB9, bitIndex0)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4607, 4600])).
% 4.25/4.44 tff(4609,assumption,(~v904(constB9, bitIndex0)), introduced(assumption)).
% 4.25/4.44 tff(4610,assumption,(v25(constB9, bitIndex0)), introduced(assumption)).
% 4.25/4.44 tff(4611,plain,
% 4.25/4.44 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex0)) | v904(constB9, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex0)) | v904(constB9, bitIndex0))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4612,plain,
% 4.25/4.44 (((~v25(constB9, bitIndex0)) | (~v894(constB9)) | v904(constB9, bitIndex0)) <=> ((~v894(constB9)) | (~v25(constB9, bitIndex0)) | v904(constB9, bitIndex0))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4613,plain,
% 4.25/4.44 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex0)) | (~v894(constB9)) | v904(constB9, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB9)) | (~v25(constB9, bitIndex0)) | v904(constB9, bitIndex0)))),
% 4.25/4.44 inference(monotonicity,[status(thm)],[4612])).
% 4.25/4.44 tff(4614,plain,
% 4.25/4.44 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex0)) | (~v894(constB9)) | v904(constB9, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex0)) | v904(constB9, bitIndex0))),
% 4.25/4.44 inference(transitivity,[status(thm)],[4613, 4611])).
% 4.25/4.44 tff(4615,plain,
% 4.25/4.44 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB9, bitIndex0)) | (~v894(constB9)) | v904(constB9, bitIndex0))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4616,plain,
% 4.25/4.44 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB9)) | (~v25(constB9, bitIndex0)) | v904(constB9, bitIndex0)),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4615, 4614])).
% 4.25/4.44 tff(4617,plain,
% 4.25/4.44 ($false),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4616, 3536, 4506, 4610, 4609])).
% 4.25/4.44 tff(4618,plain,((~v25(constB9, bitIndex0)) | v904(constB9, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.44 tff(4619,plain,
% 4.25/4.44 (~v25(constB9, bitIndex0)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4618, 4608])).
% 4.25/4.44 tff(4620,assumption,(v918(constB9)), introduced(assumption)).
% 4.25/4.44 tff(4621,plain,
% 4.25/4.44 (^[VarCurr: $i] : refl((v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr))) <=> (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr))))),
% 4.25/4.44 inference(bind,[status(th)],[])).
% 4.25/4.44 tff(4622,plain,
% 4.25/4.44 (![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr))) <=> ![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))),
% 4.25/4.44 inference(quant_intro,[status(thm)],[4621])).
% 4.25/4.44 tff(4623,plain,
% 4.25/4.44 (![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr))) <=> ![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4624,plain,
% 4.25/4.44 (^[VarCurr: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) <=> (v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))), (((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) <=> ((v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex2)))), rewrite(((v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex2)) <=> (v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))), (((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) <=> (v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)))), ((((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) <=> ((v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex0)))), rewrite(((v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex0)) <=> (v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))), ((((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) <=> (v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)))), (((((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) <=> ((v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex1)))), rewrite(((v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | v25(VarCurr, bitIndex1)) <=> (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))), (((((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) <=> (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)))), ((((((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) | (~v918(VarCurr))) <=> ((v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | (~v918(VarCurr))))), rewrite(((v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4)) | (~v918(VarCurr))) <=> (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))), ((((((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) | (~v918(VarCurr))) <=> (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))))),
% 4.25/4.44 inference(bind,[status(th)],[])).
% 4.25/4.44 tff(4625,plain,
% 4.25/4.44 (![VarCurr: $i] : (((((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) | (~v918(VarCurr))) <=> ![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))),
% 4.25/4.44 inference(quant_intro,[status(thm)],[4624])).
% 4.25/4.44 tff(4626,axiom,(![VarCurr: $i] : (((((v25(VarCurr, bitIndex4) | v25(VarCurr, bitIndex3)) | v25(VarCurr, bitIndex2)) | v25(VarCurr, bitIndex0)) | v25(VarCurr, bitIndex1)) | (~v918(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9919')).
% 4.25/4.44 tff(4627,plain,
% 4.25/4.44 (![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4626, 4625])).
% 4.25/4.44 tff(4628,plain,
% 4.25/4.44 (![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4627, 4623])).
% 4.25/4.44 tff(4629,plain,(
% 4.25/4.44 ![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))),
% 4.25/4.44 inference(skolemize,[status(sab)],[4628])).
% 4.25/4.44 tff(4630,plain,
% 4.25/4.44 (![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4629, 4622])).
% 4.25/4.44 tff(4631,plain,
% 4.25/4.44 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB9)) | v25(constB9, bitIndex4) | v25(constB9, bitIndex3) | v25(constB9, bitIndex2) | v25(constB9, bitIndex0) | v25(constB9, bitIndex1))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB9)) | v25(constB9, bitIndex4) | v25(constB9, bitIndex3) | v25(constB9, bitIndex2) | v25(constB9, bitIndex0) | v25(constB9, bitIndex1))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4632,plain,
% 4.25/4.44 ((v25(constB9, bitIndex1) | v25(constB9, bitIndex0) | v25(constB9, bitIndex2) | v25(constB9, bitIndex3) | v25(constB9, bitIndex4) | (~v918(constB9))) <=> ((~v918(constB9)) | v25(constB9, bitIndex4) | v25(constB9, bitIndex3) | v25(constB9, bitIndex2) | v25(constB9, bitIndex0) | v25(constB9, bitIndex1))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4633,plain,
% 4.25/4.44 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB9, bitIndex1) | v25(constB9, bitIndex0) | v25(constB9, bitIndex2) | v25(constB9, bitIndex3) | v25(constB9, bitIndex4) | (~v918(constB9)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB9)) | v25(constB9, bitIndex4) | v25(constB9, bitIndex3) | v25(constB9, bitIndex2) | v25(constB9, bitIndex0) | v25(constB9, bitIndex1)))),
% 4.25/4.44 inference(monotonicity,[status(thm)],[4632])).
% 4.25/4.44 tff(4634,plain,
% 4.25/4.44 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB9, bitIndex1) | v25(constB9, bitIndex0) | v25(constB9, bitIndex2) | v25(constB9, bitIndex3) | v25(constB9, bitIndex4) | (~v918(constB9)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB9)) | v25(constB9, bitIndex4) | v25(constB9, bitIndex3) | v25(constB9, bitIndex2) | v25(constB9, bitIndex0) | v25(constB9, bitIndex1))),
% 4.25/4.44 inference(transitivity,[status(thm)],[4633, 4631])).
% 4.25/4.44 tff(4635,plain,
% 4.25/4.44 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB9, bitIndex1) | v25(constB9, bitIndex0) | v25(constB9, bitIndex2) | v25(constB9, bitIndex3) | v25(constB9, bitIndex4) | (~v918(constB9)))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4636,plain,
% 4.25/4.44 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB9)) | v25(constB9, bitIndex4) | v25(constB9, bitIndex3) | v25(constB9, bitIndex2) | v25(constB9, bitIndex0) | v25(constB9, bitIndex1)),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4635, 4634])).
% 4.25/4.44 tff(4637,plain,
% 4.25/4.44 (v25(constB9, bitIndex4) | v25(constB9, bitIndex3) | v25(constB9, bitIndex2) | v25(constB9, bitIndex0) | v25(constB9, bitIndex1)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4636, 4630, 4620])).
% 4.25/4.44 tff(4638,plain,
% 4.25/4.44 ($false),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4637, 4619, 4593, 4567, 4541, 4515])).
% 4.25/4.44 tff(4639,plain,(v16(constB8) | (~v918(constB9))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.44 tff(4640,plain,
% 4.25/4.44 (~v918(constB9)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4639, 4467])).
% 4.25/4.44 tff(4641,assumption,(~v918(constB9)), introduced(assumption)).
% 4.25/4.44 tff(4642,plain,
% 4.25/4.44 (v918(constB9) | (~v25(constB9, bitIndex2))),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1108, 467, 2188])).
% 4.25/4.44 tff(4643,plain,
% 4.25/4.44 (~v25(constB9, bitIndex2)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4642, 4641])).
% 4.25/4.44 tff(4644,plain,
% 4.25/4.44 (~v25(constB10, bitIndex2)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1120, 4643])).
% 4.25/4.44 tff(4645,plain,
% 4.25/4.44 (v918(constB9) | (~v25(constB9, bitIndex1))),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1147, 431, 2188])).
% 4.25/4.44 tff(4646,plain,
% 4.25/4.44 (~v25(constB9, bitIndex1)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4645, 4641])).
% 4.25/4.44 tff(4647,plain,
% 4.25/4.44 (~v25(constB10, bitIndex1)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1159, 4646])).
% 4.25/4.44 tff(4648,plain,
% 4.25/4.44 (v918(constB9) | (~v25(constB9, bitIndex3))),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1047, 503, 2188])).
% 4.25/4.44 tff(4649,plain,
% 4.25/4.44 (~v25(constB9, bitIndex3)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4648, 4641])).
% 4.25/4.44 tff(4650,plain,
% 4.25/4.44 (~v25(constB10, bitIndex3)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1101, 4649])).
% 4.25/4.44 tff(4651,plain,
% 4.25/4.44 (v918(constB9) | (~v25(constB9, bitIndex0))),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1127, 449, 2188])).
% 4.25/4.44 tff(4652,plain,
% 4.25/4.44 (~v25(constB9, bitIndex0)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4651, 4641])).
% 4.25/4.44 tff(4653,plain,
% 4.25/4.44 (~v25(constB10, bitIndex0)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1139, 4652])).
% 4.25/4.44 tff(4654,plain,
% 4.25/4.44 (v6(constB10, bitIndex0)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[595, 2188])).
% 4.25/4.44 tff(4655,plain,
% 4.25/4.44 (v911(constB10) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[528, 522, 4654])).
% 4.25/4.44 tff(4656,plain,
% 4.25/4.44 (v25(constB10, bitIndex4)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4655, 4653, 512, 4650, 4647, 4644])).
% 4.25/4.44 tff(4657,plain,
% 4.25/4.44 (v918(constB9) | (~v25(constB9, bitIndex4))),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1039, 485, 2188])).
% 4.25/4.44 tff(4658,plain,
% 4.25/4.44 (~v25(constB9, bitIndex4)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4657, 4641])).
% 4.25/4.44 tff(4659,plain,
% 4.25/4.44 ($false),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[1169, 1093, 144, 1083, 4658, 4656])).
% 4.25/4.44 tff(4660,plain,(v918(constB9) | v911(constB10) | (~v6(constB9, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.44 tff(4661,plain,
% 4.25/4.44 (~v6(constB9, bitIndex0)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4660, 4640, 512])).
% 4.25/4.44 tff(4662,plain,
% 4.25/4.44 (~v935(constB9)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[628, 4661])).
% 4.25/4.44 tff(4663,plain,
% 4.25/4.44 (~v933(constB8)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[633, 4662])).
% 4.25/4.44 tff(4664,plain,
% 4.25/4.44 ($false),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[637, 382, 4663, 4467])).
% 4.25/4.44 tff(4665,plain,(v16(constB8) | v911(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.44 tff(4666,plain,
% 4.25/4.44 (v16(constB8)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4665, 512])).
% 4.25/4.44 tff(4667,plain,
% 4.25/4.44 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex1))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4668,plain,
% 4.25/4.44 (((~v16(constB8)) | v19(constB8, bitIndex1) | (~v947(constB8))) <=> ((~v947(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex1))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4669,plain,
% 4.25/4.44 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB8)) | v19(constB8, bitIndex1) | (~v947(constB8)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex1)))),
% 4.25/4.44 inference(monotonicity,[status(thm)],[4668])).
% 4.25/4.44 tff(4670,plain,
% 4.25/4.44 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB8)) | v19(constB8, bitIndex1) | (~v947(constB8)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex1))),
% 4.25/4.44 inference(transitivity,[status(thm)],[4669, 4667])).
% 4.25/4.44 tff(4671,plain,
% 4.25/4.44 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB8)) | v19(constB8, bitIndex1) | (~v947(constB8)))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4672,plain,
% 4.25/4.44 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex1)),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4671, 4670])).
% 4.25/4.44 tff(4673,plain,
% 4.25/4.44 ((~v947(constB8)) | v19(constB8, bitIndex1)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4672, 4063, 4666])).
% 4.25/4.44 tff(4674,plain,
% 4.25/4.44 (~v947(constB8)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4673, 4466])).
% 4.25/4.44 tff(4675,plain,
% 4.25/4.44 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB8, constB9)) | v947(constB8) | (~v949(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB8, constB9)) | v947(constB8) | (~v949(constB9)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4676,plain,
% 4.25/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB8, constB9)) | v947(constB8) | (~v949(constB9)))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4677,plain,
% 4.25/4.44 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB8, constB9)) | v947(constB8) | (~v949(constB9))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4676, 4675])).
% 4.25/4.44 tff(4678,plain,
% 4.25/4.44 (v947(constB8) | (~v949(constB9))),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4677, 4422, 134])).
% 4.25/4.44 tff(4679,plain,
% 4.25/4.44 (~v949(constB9)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4678, 4674])).
% 4.25/4.44 tff(4680,plain,
% 4.25/4.44 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB9, bitIndex1)) | v949(constB9) | (~v941(constB9)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB9, bitIndex1)) | v949(constB9) | (~v941(constB9)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4681,plain,
% 4.25/4.44 (((~v6(constB9, bitIndex1)) | (~v941(constB9)) | v949(constB9)) <=> ((~v6(constB9, bitIndex1)) | v949(constB9) | (~v941(constB9)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4682,plain,
% 4.25/4.44 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB9, bitIndex1)) | (~v941(constB9)) | v949(constB9))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB9, bitIndex1)) | v949(constB9) | (~v941(constB9))))),
% 4.25/4.44 inference(monotonicity,[status(thm)],[4681])).
% 4.25/4.44 tff(4683,plain,
% 4.25/4.44 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB9, bitIndex1)) | (~v941(constB9)) | v949(constB9))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB9, bitIndex1)) | v949(constB9) | (~v941(constB9)))),
% 4.25/4.44 inference(transitivity,[status(thm)],[4682, 4680])).
% 4.25/4.44 tff(4684,plain,
% 4.25/4.44 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB9, bitIndex1)) | (~v941(constB9)) | v949(constB9))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4685,plain,
% 4.25/4.44 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB9, bitIndex1)) | v949(constB9) | (~v941(constB9))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4684, 4683])).
% 4.25/4.44 tff(4686,plain,
% 4.25/4.44 ((~v6(constB9, bitIndex1)) | v949(constB9)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4685, 4437, 937])).
% 4.25/4.44 tff(4687,plain,
% 4.25/4.44 (~v6(constB9, bitIndex1)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4686, 4679])).
% 4.25/4.44 tff(4688,plain,
% 4.25/4.44 (~v6(constB10, bitIndex1)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[2250, 4687])).
% 4.25/4.44 tff(4689,assumption,(v19(constB10, bitIndex1)), introduced(assumption)).
% 4.25/4.44 tff(4690,plain,
% 4.25/4.44 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB10, bitIndex1) | v918(constB10) | (~v19(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB10, bitIndex1) | v918(constB10) | (~v19(constB10, bitIndex1)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4691,plain,
% 4.25/4.44 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB10, bitIndex1) | v918(constB10) | (~v19(constB10, bitIndex1)))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4692,plain,
% 4.25/4.44 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB10, bitIndex1) | v918(constB10) | (~v19(constB10, bitIndex1))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4691, 4690])).
% 4.25/4.44 tff(4693,plain,
% 4.25/4.44 (v6(constB10, bitIndex1) | v918(constB10)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4692, 747, 4689])).
% 4.25/4.44 tff(4694,plain,
% 4.25/4.44 (v918(constB10)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4693, 4688])).
% 4.25/4.44 tff(4695,plain,
% 4.25/4.44 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB8, bitIndex0) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB8, bitIndex0) | (~v911(constB8)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4696,plain,
% 4.25/4.44 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB8, bitIndex0) | (~v911(constB8)))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4697,plain,
% 4.25/4.44 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB8, bitIndex0) | (~v911(constB8))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4696, 4695])).
% 4.25/4.44 tff(4698,plain,
% 4.25/4.44 (~v911(constB8)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4697, 2097, 4407])).
% 4.25/4.44 tff(4699,plain,
% 4.25/4.44 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB8, bitIndex1) | (~v19(constB8, bitIndex0)) | v911(constB8))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB8, bitIndex1) | (~v19(constB8, bitIndex0)) | v911(constB8))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4700,plain,
% 4.25/4.44 ((v6(constB8, bitIndex1) | v911(constB8) | (~v19(constB8, bitIndex0))) <=> (v6(constB8, bitIndex1) | (~v19(constB8, bitIndex0)) | v911(constB8))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4701,plain,
% 4.25/4.44 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB8, bitIndex1) | v911(constB8) | (~v19(constB8, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB8, bitIndex1) | (~v19(constB8, bitIndex0)) | v911(constB8)))),
% 4.25/4.44 inference(monotonicity,[status(thm)],[4700])).
% 4.25/4.44 tff(4702,plain,
% 4.25/4.44 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB8, bitIndex1) | v911(constB8) | (~v19(constB8, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB8, bitIndex1) | (~v19(constB8, bitIndex0)) | v911(constB8))),
% 4.25/4.44 inference(transitivity,[status(thm)],[4701, 4699])).
% 4.25/4.44 tff(4703,plain,
% 4.25/4.44 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB8, bitIndex1) | v911(constB8) | (~v19(constB8, bitIndex0)))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4704,plain,
% 4.25/4.44 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB8, bitIndex1) | (~v19(constB8, bitIndex0)) | v911(constB8)),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4703, 4702])).
% 4.25/4.44 tff(4705,plain,
% 4.25/4.44 (v6(constB8, bitIndex1) | (~v19(constB8, bitIndex0))),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4704, 2111, 4698])).
% 4.25/4.44 tff(4706,plain,
% 4.25/4.44 (~v19(constB8, bitIndex0)),
% 4.25/4.44 inference(unit_resolution,[status(thm)],[4705, 4454])).
% 4.25/4.44 tff(4707,plain,
% 4.25/4.44 (^[VarNext: $i] : refl(((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext)) <=> ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext)))),
% 4.25/4.44 inference(bind,[status(th)],[])).
% 4.25/4.44 tff(4708,plain,
% 4.25/4.44 (![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext)) <=> ![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))),
% 4.25/4.44 inference(quant_intro,[status(thm)],[4707])).
% 4.25/4.44 tff(4709,plain,
% 4.25/4.44 (![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext)) <=> ![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4710,plain,
% 4.25/4.44 (^[VarNext: $i] : rewrite(((v935(VarNext) | (~v6(VarNext, bitIndex0))) | (~v925(VarNext))) <=> ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext)))),
% 4.25/4.44 inference(bind,[status(th)],[])).
% 4.25/4.44 tff(4711,plain,
% 4.25/4.44 (![VarNext: $i] : ((v935(VarNext) | (~v6(VarNext, bitIndex0))) | (~v925(VarNext))) <=> ![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))),
% 4.25/4.44 inference(quant_intro,[status(thm)],[4710])).
% 4.25/4.44 tff(4712,axiom,(![VarNext: $i] : ((v935(VarNext) | (~v6(VarNext, bitIndex0))) | (~v925(VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9880')).
% 4.25/4.44 tff(4713,plain,
% 4.25/4.44 (![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4712, 4711])).
% 4.25/4.44 tff(4714,plain,
% 4.25/4.44 (![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4713, 4709])).
% 4.25/4.44 tff(4715,plain,(
% 4.25/4.44 ![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))),
% 4.25/4.44 inference(skolemize,[status(sab)],[4714])).
% 4.25/4.44 tff(4716,plain,
% 4.25/4.44 (![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4715, 4708])).
% 4.25/4.44 tff(4717,plain,
% 4.25/4.44 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB9, bitIndex0)) | v935(constB9) | (~v925(constB9)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB9, bitIndex0)) | v935(constB9) | (~v925(constB9)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4718,plain,
% 4.25/4.44 (((~v6(constB9, bitIndex0)) | (~v925(constB9)) | v935(constB9)) <=> ((~v6(constB9, bitIndex0)) | v935(constB9) | (~v925(constB9)))),
% 4.25/4.44 inference(rewrite,[status(thm)],[])).
% 4.25/4.44 tff(4719,plain,
% 4.25/4.44 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB9, bitIndex0)) | (~v925(constB9)) | v935(constB9))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB9, bitIndex0)) | v935(constB9) | (~v925(constB9))))),
% 4.25/4.44 inference(monotonicity,[status(thm)],[4718])).
% 4.25/4.44 tff(4720,plain,
% 4.25/4.44 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB9, bitIndex0)) | (~v925(constB9)) | v935(constB9))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB9, bitIndex0)) | v935(constB9) | (~v925(constB9)))),
% 4.25/4.44 inference(transitivity,[status(thm)],[4719, 4717])).
% 4.25/4.44 tff(4721,plain,
% 4.25/4.44 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB9, bitIndex0)) | (~v925(constB9)) | v935(constB9))),
% 4.25/4.44 inference(quant_inst,[status(thm)],[])).
% 4.25/4.44 tff(4722,plain,
% 4.25/4.44 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB9, bitIndex0)) | v935(constB9) | (~v925(constB9))),
% 4.25/4.44 inference(modus_ponens,[status(thm)],[4721, 4720])).
% 4.25/4.44 tff(4723,plain,
% 4.25/4.44 ((~v6(constB9, bitIndex0)) | v935(constB9)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4722, 4716, 621])).
% 4.25/4.45 tff(4724,plain,
% 4.25/4.45 (v935(constB9)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4723, 2188])).
% 4.25/4.45 tff(4725,plain,
% 4.25/4.45 (^[VarNext: $i, VarCurr: $i] : refl(((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext))))),
% 4.25/4.45 inference(bind,[status(th)],[])).
% 4.25/4.45 tff(4726,plain,
% 4.25/4.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))),
% 4.25/4.45 inference(quant_intro,[status(thm)],[4725])).
% 4.25/4.45 tff(4727,plain,
% 4.25/4.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4728,plain,
% 4.25/4.45 (^[VarNext: $i, VarCurr: $i] : rewrite(((v933(VarCurr) | (~v935(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext))))),
% 4.25/4.45 inference(bind,[status(th)],[])).
% 4.25/4.45 tff(4729,plain,
% 4.25/4.45 (![VarNext: $i, VarCurr: $i] : ((v933(VarCurr) | (~v935(VarNext))) | (~nextState(VarCurr, VarNext))) <=> ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))),
% 4.25/4.45 inference(quant_intro,[status(thm)],[4728])).
% 4.25/4.45 tff(4730,axiom,(![VarNext: $i, VarCurr: $i] : ((v933(VarCurr) | (~v935(VarNext))) | (~nextState(VarCurr, VarNext)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9884')).
% 4.25/4.45 tff(4731,plain,
% 4.25/4.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4730, 4729])).
% 4.25/4.45 tff(4732,plain,
% 4.25/4.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4731, 4727])).
% 4.25/4.45 tff(4733,plain,(
% 4.25/4.45 ![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))),
% 4.25/4.45 inference(skolemize,[status(sab)],[4732])).
% 4.25/4.45 tff(4734,plain,
% 4.25/4.45 (![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4733, 4726])).
% 4.25/4.45 tff(4735,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB8, constB9)) | v933(constB8) | (~v935(constB9)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB8, constB9)) | v933(constB8) | (~v935(constB9)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4736,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB8, constB9)) | v933(constB8) | (~v935(constB9)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4737,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB8, constB9)) | v933(constB8) | (~v935(constB9))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4736, 4735])).
% 4.25/4.45 tff(4738,plain,
% 4.25/4.45 (v933(constB8) | (~v935(constB9))),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4737, 4734, 134])).
% 4.25/4.45 tff(4739,plain,
% 4.25/4.45 (v933(constB8)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4738, 4724])).
% 4.25/4.45 tff(4740,plain,
% 4.25/4.45 (^[VarCurr: $i] : refl(((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr))) <=> ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr))))),
% 4.25/4.45 inference(bind,[status(th)],[])).
% 4.25/4.45 tff(4741,plain,
% 4.25/4.45 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr))) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))),
% 4.25/4.45 inference(quant_intro,[status(thm)],[4740])).
% 4.25/4.45 tff(4742,plain,
% 4.25/4.45 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr))) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4743,plain,
% 4.25/4.45 (^[VarCurr: $i] : trans(monotonicity(rewrite((v19(VarCurr, bitIndex0) | (~v933(VarCurr))) <=> (v19(VarCurr, bitIndex0) | (~v933(VarCurr)))), (((v19(VarCurr, bitIndex0) | (~v933(VarCurr))) | (~v16(VarCurr))) <=> ((v19(VarCurr, bitIndex0) | (~v933(VarCurr))) | (~v16(VarCurr))))), rewrite(((v19(VarCurr, bitIndex0) | (~v933(VarCurr))) | (~v16(VarCurr))) <=> ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))), (((v19(VarCurr, bitIndex0) | (~v933(VarCurr))) | (~v16(VarCurr))) <=> ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))))),
% 4.25/4.45 inference(bind,[status(th)],[])).
% 4.25/4.45 tff(4744,plain,
% 4.25/4.45 (![VarCurr: $i] : ((v19(VarCurr, bitIndex0) | (~v933(VarCurr))) | (~v16(VarCurr))) <=> ![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))),
% 4.25/4.45 inference(quant_intro,[status(thm)],[4743])).
% 4.25/4.45 tff(4745,axiom,(![VarCurr: $i] : ((v19(VarCurr, bitIndex0) | (~v933(VarCurr))) | (~v16(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9888')).
% 4.25/4.45 tff(4746,plain,
% 4.25/4.45 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4745, 4744])).
% 4.25/4.45 tff(4747,plain,
% 4.25/4.45 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4746, 4742])).
% 4.25/4.45 tff(4748,plain,(
% 4.25/4.45 ![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))),
% 4.25/4.45 inference(skolemize,[status(sab)],[4747])).
% 4.25/4.45 tff(4749,plain,
% 4.25/4.45 (![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4748, 4741])).
% 4.25/4.45 tff(4750,plain,
% 4.25/4.45 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex0))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4751,plain,
% 4.25/4.45 (((~v16(constB8)) | v19(constB8, bitIndex0) | (~v933(constB8))) <=> ((~v933(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex0))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4752,plain,
% 4.25/4.45 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB8)) | v19(constB8, bitIndex0) | (~v933(constB8)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex0)))),
% 4.25/4.45 inference(monotonicity,[status(thm)],[4751])).
% 4.25/4.45 tff(4753,plain,
% 4.25/4.45 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB8)) | v19(constB8, bitIndex0) | (~v933(constB8)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex0))),
% 4.25/4.45 inference(transitivity,[status(thm)],[4752, 4750])).
% 4.25/4.45 tff(4754,plain,
% 4.25/4.45 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB8)) | v19(constB8, bitIndex0) | (~v933(constB8)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4755,plain,
% 4.25/4.45 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB8)) | (~v16(constB8)) | v19(constB8, bitIndex0)),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4754, 4753])).
% 4.25/4.45 tff(4756,plain,
% 4.25/4.45 ((~v933(constB8)) | (~v16(constB8))),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4755, 4749, 1244])).
% 4.25/4.45 tff(4757,plain,
% 4.25/4.45 (~v16(constB8)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4756, 4739])).
% 4.25/4.45 tff(4758,plain,
% 4.25/4.45 (~v902(constB8, bitIndex4)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4473, 4757])).
% 4.25/4.45 tff(4759,plain,
% 4.25/4.45 (~v904(constB9, bitIndex4)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4481, 4758])).
% 4.25/4.45 tff(4760,plain,
% 4.25/4.45 (~v25(constB9, bitIndex4)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4514, 4759])).
% 4.25/4.45 tff(4761,plain,
% 4.25/4.45 (v918(constB9)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4660, 2188, 512])).
% 4.25/4.45 tff(4762,plain,
% 4.25/4.45 (~v902(constB8, bitIndex1)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4521, 4757])).
% 4.25/4.45 tff(4763,plain,
% 4.25/4.45 (~v904(constB9, bitIndex1)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4529, 4762])).
% 4.25/4.45 tff(4764,plain,
% 4.25/4.45 (~v25(constB9, bitIndex1)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4540, 4763])).
% 4.25/4.45 tff(4765,plain,
% 4.25/4.45 (~v902(constB8, bitIndex3)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4547, 4757])).
% 4.25/4.45 tff(4766,plain,
% 4.25/4.45 (~v904(constB9, bitIndex3)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4555, 4765])).
% 4.25/4.45 tff(4767,plain,
% 4.25/4.45 (~v25(constB9, bitIndex3)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4566, 4766])).
% 4.25/4.45 tff(4768,plain,
% 4.25/4.45 (~v902(constB8, bitIndex2)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4573, 4757])).
% 4.25/4.45 tff(4769,plain,
% 4.25/4.45 (~v904(constB9, bitIndex2)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4581, 4768])).
% 4.25/4.45 tff(4770,plain,
% 4.25/4.45 (~v25(constB9, bitIndex2)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4592, 4769])).
% 4.25/4.45 tff(4771,plain,
% 4.25/4.45 (~v902(constB8, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4599, 4757])).
% 4.25/4.45 tff(4772,plain,
% 4.25/4.45 (~v904(constB9, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4607, 4771])).
% 4.25/4.45 tff(4773,plain,
% 4.25/4.45 (~v25(constB9, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4618, 4772])).
% 4.25/4.45 tff(4774,plain,
% 4.25/4.45 ($false),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4636, 4630, 4773, 4770, 4767, 4764, 4761, 4760])).
% 4.25/4.45 tff(4775,plain,((~v6(constB9, bitIndex0)) | v19(constB8, bitIndex0) | v911(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.45 tff(4776,plain,
% 4.25/4.45 (~v6(constB9, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4775, 4706, 512])).
% 4.25/4.45 tff(4777,plain,
% 4.25/4.45 (~v6(constB10, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2227, 4776])).
% 4.25/4.45 tff(4778,plain,
% 4.25/4.45 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB10, bitIndex0) | (~v918(constB10)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB10, bitIndex0) | (~v918(constB10)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4779,plain,
% 4.25/4.45 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB10, bitIndex0) | (~v918(constB10)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4780,plain,
% 4.25/4.45 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB10, bitIndex0) | (~v918(constB10))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4779, 4778])).
% 4.25/4.45 tff(4781,plain,
% 4.25/4.45 ($false),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4780, 645, 4777, 4694])).
% 4.25/4.45 tff(4782,plain,(v6(constB8, bitIndex0) | (~v19(constB10, bitIndex1)) | v911(constB10) | v19(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.45 tff(4783,plain,
% 4.25/4.45 (v6(constB8, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4782, 4406, 4404, 1344])).
% 4.25/4.45 tff(4784,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v925(constB8) | (~v6(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v925(constB8) | (~v6(constB8, bitIndex0)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4785,plain,
% 4.25/4.45 (((~nextState(constB7, constB8)) | v6(constB7, bitIndex0) | v925(constB8) | (~v6(constB8, bitIndex0))) <=> (v6(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v925(constB8) | (~v6(constB8, bitIndex0)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4786,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v6(constB7, bitIndex0) | v925(constB8) | (~v6(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v925(constB8) | (~v6(constB8, bitIndex0))))),
% 4.25/4.45 inference(monotonicity,[status(thm)],[4785])).
% 4.25/4.45 tff(4787,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v6(constB7, bitIndex0) | v925(constB8) | (~v6(constB8, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v925(constB8) | (~v6(constB8, bitIndex0)))),
% 4.25/4.45 inference(transitivity,[status(thm)],[4786, 4784])).
% 4.25/4.45 tff(4788,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB7, constB8)) | v6(constB7, bitIndex0) | v925(constB8) | (~v6(constB8, bitIndex0)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4789,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB7, bitIndex0) | (~nextState(constB7, constB8)) | v925(constB8) | (~v6(constB8, bitIndex0))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4788, 4787])).
% 4.25/4.45 tff(4790,plain,
% 4.25/4.45 (v6(constB7, bitIndex0) | v925(constB8) | (~v6(constB8, bitIndex0))),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4789, 2219, 124])).
% 4.25/4.45 tff(4791,plain,
% 4.25/4.45 (v6(constB7, bitIndex0) | (~v6(constB8, bitIndex0))),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4790, 1184])).
% 4.25/4.45 tff(4792,plain,
% 4.25/4.45 (v6(constB7, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4791, 4783])).
% 4.25/4.45 tff(4793,plain,
% 4.25/4.45 (v949(constB11)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[261, 4389])).
% 4.25/4.45 tff(4794,plain,
% 4.25/4.45 (v6(constB11, bitIndex1)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[246, 4793])).
% 4.25/4.45 tff(4795,plain,
% 4.25/4.45 (v6(constB12, bitIndex1)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4309, 4794])).
% 4.25/4.45 tff(4796,assumption,(v19(constB18, bitIndex1)), introduced(assumption)).
% 4.25/4.45 tff(4797,plain,
% 4.25/4.45 (v947(constB18) | (~v16(constB18))),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2739, 400, 4796])).
% 4.25/4.45 tff(4798,plain,
% 4.25/4.45 (~v16(constB18)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4797, 3341])).
% 4.25/4.45 tff(4799,plain,
% 4.25/4.45 ($false),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2731, 382, 3310, 4798])).
% 4.25/4.45 tff(4800,plain,((~(constB20 = sK293_VarCurr)) | (~v19(constB18, bitIndex1)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.45 tff(4801,plain,
% 4.25/4.45 (~v19(constB18, bitIndex1)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4800, 3269, 266])).
% 4.25/4.45 tff(4802,plain,
% 4.25/4.45 (~v918(constB18)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2744, 539, 4801])).
% 4.25/4.45 tff(4803,plain,
% 4.25/4.45 (~v19(constB18, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2756, 3310])).
% 4.25/4.45 tff(4804,plain,
% 4.25/4.45 (~v6(constB18, bitIndex1)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2774, 4803, 4801])).
% 4.25/4.45 tff(4805,plain,
% 4.25/4.45 (~v6(constB17, bitIndex1)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2795, 4804])).
% 4.25/4.45 tff(4806,plain,
% 4.25/4.45 (~v949(constB17)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2831, 4805])).
% 4.25/4.45 tff(4807,plain,
% 4.25/4.45 (~v947(constB16)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2836, 4806])).
% 4.25/4.45 tff(4808,assumption,(v19(constB16, bitIndex1)), introduced(assumption)).
% 4.25/4.45 tff(4809,plain,
% 4.25/4.45 (v947(constB16) | (~v16(constB16))),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2849, 400, 4808])).
% 4.25/4.45 tff(4810,plain,
% 4.25/4.45 (~v16(constB16)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4809, 4807])).
% 4.25/4.45 tff(4811,plain,
% 4.25/4.45 (v933(constB16)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[2841, 382, 4810])).
% 4.25/4.45 tff(4812,plain,
% 4.25/4.45 (v935(constB17)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[3168, 4811])).
% 4.25/4.45 tff(4813,plain,
% 4.25/4.45 (v6(constB17, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[3194, 4812])).
% 4.25/4.45 tff(4814,plain,
% 4.25/4.45 (v6(constB18, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[3215, 4813])).
% 4.25/4.45 tff(4815,plain,
% 4.25/4.45 (~v25(constB18, bitIndex1)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[3222, 431, 4814, 4802])).
% 4.25/4.45 tff(4816,plain,
% 4.25/4.45 (~v25(constB18, bitIndex3)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[3229, 503, 4814, 4802])).
% 4.25/4.45 tff(4817,assumption,(v902(constB16, bitIndex0)), introduced(assumption)).
% 4.25/4.45 tff(4818,assumption,(~v16(constB16)), introduced(assumption)).
% 4.25/4.45 tff(4819,plain,
% 4.25/4.45 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB16) | (~v902(constB16, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB16) | (~v902(constB16, bitIndex0)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4820,plain,
% 4.25/4.45 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB16) | (~v902(constB16, bitIndex0)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4821,plain,
% 4.25/4.45 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB16) | (~v902(constB16, bitIndex0))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4820, 4819])).
% 4.25/4.45 tff(4822,plain,
% 4.25/4.45 ($false),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4821, 3438, 4818, 4817])).
% 4.25/4.45 tff(4823,plain,((~v902(constB16, bitIndex0)) | v16(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.45 tff(4824,plain,
% 4.25/4.45 (~v902(constB16, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4823, 4810])).
% 4.25/4.45 tff(4825,assumption,(v904(constB17, bitIndex0)), introduced(assumption)).
% 4.25/4.45 tff(4826,assumption,(~v902(constB16, bitIndex0)), introduced(assumption)).
% 4.25/4.45 tff(4827,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB16, constB17)) | (~v904(constB17, bitIndex0)) | v902(constB16, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB16, constB17)) | (~v904(constB17, bitIndex0)) | v902(constB16, bitIndex0))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4828,plain,
% 4.25/4.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB16, constB17)) | (~v904(constB17, bitIndex0)) | v902(constB16, bitIndex0))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4829,plain,
% 4.25/4.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB16, constB17)) | (~v904(constB17, bitIndex0)) | v902(constB16, bitIndex0)),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4828, 4827])).
% 4.25/4.45 tff(4830,plain,
% 4.25/4.45 ($false),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4829, 3456, 2620, 4826, 4825])).
% 4.25/4.45 tff(4831,plain,((~v904(constB17, bitIndex0)) | v902(constB16, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.45 tff(4832,plain,
% 4.25/4.45 (~v904(constB17, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4831, 4824])).
% 4.25/4.45 tff(4833,assumption,(v25(constB17, bitIndex0)), introduced(assumption)).
% 4.25/4.45 tff(4834,assumption,(~v904(constB17, bitIndex0)), introduced(assumption)).
% 4.25/4.45 tff(4835,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB16) | (~nextState(constB16, constB17)) | (~v898(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB16) | (~nextState(constB16, constB17)) | (~v898(constB17)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4836,plain,
% 4.25/4.45 (((~nextState(constB16, constB17)) | v1(constB16) | (~v898(constB17))) <=> (v1(constB16) | (~nextState(constB16, constB17)) | (~v898(constB17)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4837,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB16, constB17)) | v1(constB16) | (~v898(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB16) | (~nextState(constB16, constB17)) | (~v898(constB17))))),
% 4.25/4.45 inference(monotonicity,[status(thm)],[4836])).
% 4.25/4.45 tff(4838,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB16, constB17)) | v1(constB16) | (~v898(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB16) | (~nextState(constB16, constB17)) | (~v898(constB17)))),
% 4.25/4.45 inference(transitivity,[status(thm)],[4837, 4835])).
% 4.25/4.45 tff(4839,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB16, constB17)) | v1(constB16) | (~v898(constB17)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4840,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB16) | (~nextState(constB16, constB17)) | (~v898(constB17))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4839, 4838])).
% 4.25/4.45 tff(4841,plain,
% 4.25/4.45 (~v898(constB17)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4840, 3474, 2620, 2617])).
% 4.25/4.45 tff(4842,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB16, constB17)) | v896(constB17) | v898(constB17))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB16, constB17)) | v896(constB17) | v898(constB17))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4843,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB16, constB17)) | v896(constB17) | v898(constB17))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4844,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB16, constB17)) | v896(constB17) | v898(constB17)),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4843, 4842])).
% 4.25/4.45 tff(4845,plain,
% 4.25/4.45 (v896(constB17) | v898(constB17)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4844, 3491, 2620])).
% 4.25/4.45 tff(4846,plain,
% 4.25/4.45 (v896(constB17)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4845, 4841])).
% 4.25/4.45 tff(4847,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB16, constB17)) | (~v1(constB17)) | v895(constB17) | (~v896(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB16, constB17)) | (~v1(constB17)) | v895(constB17) | (~v896(constB17)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4848,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB16, constB17)) | (~v1(constB17)) | v895(constB17) | (~v896(constB17)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4849,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB16, constB17)) | (~v1(constB17)) | v895(constB17) | (~v896(constB17))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4848, 4847])).
% 4.25/4.45 tff(4850,plain,
% 4.25/4.45 (v895(constB17) | (~v896(constB17))),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4849, 3506, 2620, 2627])).
% 4.25/4.45 tff(4851,plain,
% 4.25/4.45 (v895(constB17)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4850, 4846])).
% 4.25/4.45 tff(4852,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB16, constB17)) | v894(constB17) | (~v895(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB16, constB17)) | v894(constB17) | (~v895(constB17)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4853,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB16, constB17)) | v894(constB17) | (~v895(constB17)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4854,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB16, constB17)) | v894(constB17) | (~v895(constB17))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4853, 4852])).
% 4.25/4.45 tff(4855,plain,
% 4.25/4.45 (v894(constB17) | (~v895(constB17))),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4854, 3521, 2620])).
% 4.25/4.45 tff(4856,plain,
% 4.25/4.45 (v894(constB17)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4855, 4851])).
% 4.25/4.45 tff(4857,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB17)) | (~v25(constB17, bitIndex0)) | v904(constB17, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB17)) | (~v25(constB17, bitIndex0)) | v904(constB17, bitIndex0))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4858,plain,
% 4.25/4.45 (((~v25(constB17, bitIndex0)) | (~v894(constB17)) | v904(constB17, bitIndex0)) <=> ((~v894(constB17)) | (~v25(constB17, bitIndex0)) | v904(constB17, bitIndex0))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4859,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB17, bitIndex0)) | (~v894(constB17)) | v904(constB17, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB17)) | (~v25(constB17, bitIndex0)) | v904(constB17, bitIndex0)))),
% 4.25/4.45 inference(monotonicity,[status(thm)],[4858])).
% 4.25/4.45 tff(4860,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB17, bitIndex0)) | (~v894(constB17)) | v904(constB17, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB17)) | (~v25(constB17, bitIndex0)) | v904(constB17, bitIndex0))),
% 4.25/4.45 inference(transitivity,[status(thm)],[4859, 4857])).
% 4.25/4.45 tff(4861,plain,
% 4.25/4.45 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB17, bitIndex0)) | (~v894(constB17)) | v904(constB17, bitIndex0))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4862,plain,
% 4.25/4.45 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB17)) | (~v25(constB17, bitIndex0)) | v904(constB17, bitIndex0)),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4861, 4860])).
% 4.25/4.45 tff(4863,plain,
% 4.25/4.45 ($false),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4862, 3536, 4856, 4834, 4833])).
% 4.25/4.45 tff(4864,plain,((~v25(constB17, bitIndex0)) | v904(constB17, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.45 tff(4865,plain,
% 4.25/4.45 (~v25(constB17, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4864, 4832])).
% 4.25/4.45 tff(4866,assumption,(v25(constB18, bitIndex0)), introduced(assumption)).
% 4.25/4.45 tff(4867,assumption,(~v25(constB17, bitIndex0)), introduced(assumption)).
% 4.25/4.45 tff(4868,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB17, constB18)) | v1(constB18) | (~v895(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB17, constB18)) | v1(constB18) | (~v895(constB18)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4869,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB17, constB18)) | v1(constB18) | (~v895(constB18)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4870,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB17, constB18)) | v1(constB18) | (~v895(constB18))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4869, 4868])).
% 4.25/4.45 tff(4871,plain,
% 4.25/4.45 (~v895(constB18)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4870, 1061, 2630, 2637])).
% 4.25/4.45 tff(4872,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB17, constB18)) | v895(constB18) | (~v894(constB18)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB17, constB18)) | v895(constB18) | (~v894(constB18)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4873,plain,
% 4.25/4.45 (((~nextState(constB17, constB18)) | (~v894(constB18)) | v895(constB18)) <=> ((~nextState(constB17, constB18)) | v895(constB18) | (~v894(constB18)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4874,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB17, constB18)) | (~v894(constB18)) | v895(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB17, constB18)) | v895(constB18) | (~v894(constB18))))),
% 4.25/4.45 inference(monotonicity,[status(thm)],[4873])).
% 4.25/4.45 tff(4875,plain,
% 4.25/4.45 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB17, constB18)) | (~v894(constB18)) | v895(constB18))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB17, constB18)) | v895(constB18) | (~v894(constB18)))),
% 4.25/4.45 inference(transitivity,[status(thm)],[4874, 4872])).
% 4.25/4.45 tff(4876,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB17, constB18)) | (~v894(constB18)) | v895(constB18))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4877,plain,
% 4.25/4.45 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB17, constB18)) | v895(constB18) | (~v894(constB18))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4876, 4875])).
% 4.25/4.45 tff(4878,plain,
% 4.25/4.45 (v895(constB18) | (~v894(constB18))),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4877, 1075, 2630])).
% 4.25/4.45 tff(4879,plain,
% 4.25/4.45 (~v894(constB18)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4878, 4871])).
% 4.25/4.45 tff(4880,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex0) | (~v25(constB18, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex0) | (~v25(constB18, bitIndex0)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4881,plain,
% 4.25/4.45 (((~nextState(constB17, constB18)) | v894(constB18) | (~v25(constB18, bitIndex0)) | v25(constB17, bitIndex0)) <=> ((~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex0) | (~v25(constB18, bitIndex0)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4882,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | (~v25(constB18, bitIndex0)) | v25(constB17, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex0) | (~v25(constB18, bitIndex0))))),
% 4.25/4.45 inference(monotonicity,[status(thm)],[4881])).
% 4.25/4.45 tff(4883,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | (~v25(constB18, bitIndex0)) | v25(constB17, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex0) | (~v25(constB18, bitIndex0)))),
% 4.25/4.45 inference(transitivity,[status(thm)],[4882, 4880])).
% 4.25/4.45 tff(4884,plain,
% 4.25/4.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | (~v25(constB18, bitIndex0)) | v25(constB17, bitIndex0))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4885,plain,
% 4.25/4.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex0) | (~v25(constB18, bitIndex0))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4884, 4883])).
% 4.25/4.45 tff(4886,plain,
% 4.25/4.45 ($false),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4885, 1093, 2630, 4879, 4867, 4866])).
% 4.25/4.45 tff(4887,plain,((~v25(constB18, bitIndex0)) | v25(constB17, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.45 tff(4888,plain,
% 4.25/4.45 (~v25(constB18, bitIndex0)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4887, 4865])).
% 4.25/4.45 tff(4889,assumption,(v902(constB16, bitIndex2)), introduced(assumption)).
% 4.25/4.45 tff(4890,plain,
% 4.25/4.45 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB16) | (~v902(constB16, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB16) | (~v902(constB16, bitIndex2)))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4891,plain,
% 4.25/4.45 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB16) | (~v902(constB16, bitIndex2)))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4892,plain,
% 4.25/4.45 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB16) | (~v902(constB16, bitIndex2))),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4891, 4890])).
% 4.25/4.45 tff(4893,plain,
% 4.25/4.45 ($false),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4892, 3438, 4818, 4889])).
% 4.25/4.45 tff(4894,plain,((~v902(constB16, bitIndex2)) | v16(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.45 tff(4895,plain,
% 4.25/4.45 (~v902(constB16, bitIndex2)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4894, 4810])).
% 4.25/4.45 tff(4896,assumption,(v904(constB17, bitIndex2)), introduced(assumption)).
% 4.25/4.45 tff(4897,assumption,(~v902(constB16, bitIndex2)), introduced(assumption)).
% 4.25/4.45 tff(4898,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB16, constB17)) | (~v904(constB17, bitIndex2)) | v902(constB16, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB16, constB17)) | (~v904(constB17, bitIndex2)) | v902(constB16, bitIndex2))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4899,plain,
% 4.25/4.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB16, constB17)) | (~v904(constB17, bitIndex2)) | v902(constB16, bitIndex2))),
% 4.25/4.45 inference(quant_inst,[status(thm)],[])).
% 4.25/4.45 tff(4900,plain,
% 4.25/4.45 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB16, constB17)) | (~v904(constB17, bitIndex2)) | v902(constB16, bitIndex2)),
% 4.25/4.45 inference(modus_ponens,[status(thm)],[4899, 4898])).
% 4.25/4.45 tff(4901,plain,
% 4.25/4.45 ($false),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4900, 3456, 2620, 4897, 4896])).
% 4.25/4.45 tff(4902,plain,((~v904(constB17, bitIndex2)) | v902(constB16, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.45 tff(4903,plain,
% 4.25/4.45 (~v904(constB17, bitIndex2)),
% 4.25/4.45 inference(unit_resolution,[status(thm)],[4902, 4895])).
% 4.25/4.45 tff(4904,assumption,(v25(constB17, bitIndex2)), introduced(assumption)).
% 4.25/4.45 tff(4905,assumption,(~v904(constB17, bitIndex2)), introduced(assumption)).
% 4.25/4.45 tff(4906,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB17)) | (~v25(constB17, bitIndex2)) | v904(constB17, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB17)) | (~v25(constB17, bitIndex2)) | v904(constB17, bitIndex2))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4907,plain,
% 4.25/4.45 (((~v25(constB17, bitIndex2)) | (~v894(constB17)) | v904(constB17, bitIndex2)) <=> ((~v894(constB17)) | (~v25(constB17, bitIndex2)) | v904(constB17, bitIndex2))),
% 4.25/4.45 inference(rewrite,[status(thm)],[])).
% 4.25/4.45 tff(4908,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB17, bitIndex2)) | (~v894(constB17)) | v904(constB17, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB17)) | (~v25(constB17, bitIndex2)) | v904(constB17, bitIndex2)))),
% 4.25/4.45 inference(monotonicity,[status(thm)],[4907])).
% 4.25/4.45 tff(4909,plain,
% 4.25/4.45 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB17, bitIndex2)) | (~v894(constB17)) | v904(constB17, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB17)) | (~v25(constB17, bitIndex2)) | v904(constB17, bitIndex2))),
% 4.25/4.45 inference(transitivity,[status(thm)],[4908, 4906])).
% 4.25/4.45 tff(4910,plain,
% 4.25/4.45 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB17, bitIndex2)) | (~v894(constB17)) | v904(constB17, bitIndex2))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(4911,plain,
% 4.25/4.46 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB17)) | (~v25(constB17, bitIndex2)) | v904(constB17, bitIndex2)),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[4910, 4909])).
% 4.25/4.46 tff(4912,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4911, 3536, 4856, 4905, 4904])).
% 4.25/4.46 tff(4913,plain,((~v25(constB17, bitIndex2)) | v904(constB17, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4914,plain,
% 4.25/4.46 (~v25(constB17, bitIndex2)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4913, 4903])).
% 4.25/4.46 tff(4915,assumption,(v25(constB18, bitIndex2)), introduced(assumption)).
% 4.25/4.46 tff(4916,assumption,(~v25(constB17, bitIndex2)), introduced(assumption)).
% 4.25/4.46 tff(4917,plain,
% 4.25/4.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex2) | (~v25(constB18, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex2) | (~v25(constB18, bitIndex2)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(4918,plain,
% 4.25/4.46 (((~nextState(constB17, constB18)) | v894(constB18) | (~v25(constB18, bitIndex2)) | v25(constB17, bitIndex2)) <=> ((~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex2) | (~v25(constB18, bitIndex2)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(4919,plain,
% 4.25/4.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | (~v25(constB18, bitIndex2)) | v25(constB17, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex2) | (~v25(constB18, bitIndex2))))),
% 4.25/4.46 inference(monotonicity,[status(thm)],[4918])).
% 4.25/4.46 tff(4920,plain,
% 4.25/4.46 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | (~v25(constB18, bitIndex2)) | v25(constB17, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex2) | (~v25(constB18, bitIndex2)))),
% 4.25/4.46 inference(transitivity,[status(thm)],[4919, 4917])).
% 4.25/4.46 tff(4921,plain,
% 4.25/4.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB17, constB18)) | v894(constB18) | (~v25(constB18, bitIndex2)) | v25(constB17, bitIndex2))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(4922,plain,
% 4.25/4.46 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB17, constB18)) | v894(constB18) | v25(constB17, bitIndex2) | (~v25(constB18, bitIndex2))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[4921, 4920])).
% 4.25/4.46 tff(4923,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4922, 1093, 2630, 4879, 4916, 4915])).
% 4.25/4.46 tff(4924,plain,((~v25(constB18, bitIndex2)) | v25(constB17, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4925,plain,
% 4.25/4.46 (~v25(constB18, bitIndex2)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4924, 4914])).
% 4.25/4.46 tff(4926,plain,
% 4.25/4.46 (~v911(constB18)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3247, 416, 4803])).
% 4.25/4.46 tff(4927,plain,
% 4.25/4.46 (~v25(constB18, bitIndex4)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3254, 485, 4814, 4802])).
% 4.25/4.46 tff(4928,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3261, 522, 4814, 4927, 4926, 4925, 4888, 4816, 4815])).
% 4.25/4.46 tff(4929,plain,((~(constB20 = sK293_VarCurr)) | (~v19(constB16, bitIndex1)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4930,plain,
% 4.25/4.46 (~v19(constB16, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4929, 3269, 266])).
% 4.25/4.46 tff(4931,plain,
% 4.25/4.46 (v19(constB16, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4370, 4930, 4311])).
% 4.25/4.46 tff(4932,plain,
% 4.25/4.46 (v933(constB16)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4320, 4931])).
% 4.25/4.46 tff(4933,plain,
% 4.25/4.46 (v935(constB17)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3168, 4932])).
% 4.25/4.46 tff(4934,plain,
% 4.25/4.46 (v6(constB17, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3194, 4933])).
% 4.25/4.46 tff(4935,plain,
% 4.25/4.46 (v6(constB18, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3215, 4934])).
% 4.25/4.46 tff(4936,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3940, 4802, 4926, 4935])).
% 4.25/4.46 tff(4937,plain,((~(constB20 = sK293_VarCurr)) | (~v6(constB12, bitIndex1)) | v6(sK293_VarCurr, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4938,plain,
% 4.25/4.46 (~(constB20 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4937, 4311, 19])).
% 4.25/4.46 tff(4939,plain,
% 4.25/4.46 (v6(constB12, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.25/4.46 inference(monotonicity,[status(thm)],[3909])).
% 4.25/4.46 tff(4940,plain,
% 4.25/4.46 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB12, bitIndex1)),
% 4.25/4.46 inference(symmetry,[status(thm)],[4939])).
% 4.25/4.46 tff(4941,plain,
% 4.25/4.46 ((~v6(sK293_VarCurr, bitIndex1)) <=> (~v6(constB12, bitIndex1))),
% 4.25/4.46 inference(monotonicity,[status(thm)],[4940])).
% 4.25/4.46 tff(4942,plain,
% 4.25/4.46 (~v6(constB12, bitIndex1)),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[4, 4941])).
% 4.25/4.46 tff(4943,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4311, 4942])).
% 4.25/4.46 tff(4944,plain,((~(constB12 = sK293_VarCurr)) | (~v6(constB12, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4945,plain,
% 4.25/4.46 (~(constB12 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4944, 4311, 4])).
% 4.25/4.46 tff(4946,plain,
% 4.25/4.46 (~v6(constB18, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3991, 3985, 19])).
% 4.25/4.46 tff(4947,plain,
% 4.25/4.46 (~v6(constB17, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3215, 4946])).
% 4.25/4.46 tff(4948,plain,
% 4.25/4.46 (~v935(constB17)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3194, 4947])).
% 4.25/4.46 tff(4949,plain,
% 4.25/4.46 (~v933(constB16)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3168, 4948])).
% 4.25/4.46 tff(4950,plain,
% 4.25/4.46 (~v19(constB16, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4320, 4949])).
% 4.25/4.46 tff(4951,plain,
% 4.25/4.46 (v19(constB16, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4370, 4950, 4311])).
% 4.25/4.46 tff(4952,plain,
% 4.25/4.46 (v16(constB16)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2841, 382, 4949])).
% 4.25/4.46 tff(4953,plain,
% 4.25/4.46 (~v6(constB18, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4035, 3985, 4])).
% 4.25/4.46 tff(4954,plain,
% 4.25/4.46 (~v6(constB17, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2795, 4953])).
% 4.25/4.46 tff(4955,plain,
% 4.25/4.46 (~v949(constB17)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2831, 4954])).
% 4.25/4.46 tff(4956,plain,
% 4.25/4.46 (~v947(constB16)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2836, 4955])).
% 4.25/4.46 tff(4957,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2849, 400, 4956, 4952, 4951])).
% 4.25/4.46 tff(4958,plain,((~(constB18 = sK293_VarCurr)) | (~v6(constB12, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4959,plain,
% 4.25/4.46 (~(constB18 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4958, 4311, 4])).
% 4.25/4.46 tff(4960,plain,
% 4.25/4.46 (~v6(constB17, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3983, 3977, 19])).
% 4.25/4.46 tff(4961,plain,
% 4.25/4.46 (~v935(constB17)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3194, 4960])).
% 4.25/4.46 tff(4962,plain,
% 4.25/4.46 (~v933(constB16)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3168, 4961])).
% 4.25/4.46 tff(4963,plain,
% 4.25/4.46 (~v19(constB16, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4320, 4962])).
% 4.25/4.46 tff(4964,plain,
% 4.25/4.46 (v19(constB16, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4370, 4963, 4311])).
% 4.25/4.46 tff(4965,plain,
% 4.25/4.46 (v16(constB16)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2841, 382, 4962])).
% 4.25/4.46 tff(4966,plain,
% 4.25/4.46 (~v6(constB17, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4023, 3977, 4])).
% 4.25/4.46 tff(4967,plain,
% 4.25/4.46 (~v949(constB17)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2831, 4966])).
% 4.25/4.46 tff(4968,plain,
% 4.25/4.46 (~v947(constB16)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2836, 4967])).
% 4.25/4.46 tff(4969,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2849, 400, 4968, 4965, 4964])).
% 4.25/4.46 tff(4970,plain,((~(constB17 = sK293_VarCurr)) | (~v6(constB12, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4971,plain,
% 4.25/4.46 (~(constB17 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4970, 4311, 4])).
% 4.25/4.46 tff(4972,plain,
% 4.25/4.46 (~v6(constB13, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3886, 3879, 19])).
% 4.25/4.46 tff(4973,plain,
% 4.25/4.46 (~v935(constB13)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2492, 4972])).
% 4.25/4.46 tff(4974,plain,
% 4.25/4.46 (~v933(constB12)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2497, 4973])).
% 4.25/4.46 tff(4975,plain,
% 4.25/4.46 (~v6(constB13, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3899, 3879, 4])).
% 4.25/4.46 tff(4976,plain,
% 4.25/4.46 (~v949(constB13)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2432, 4975])).
% 4.25/4.46 tff(4977,plain,
% 4.25/4.46 (~v947(constB12)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2437, 4976])).
% 4.25/4.46 tff(4978,plain,
% 4.25/4.46 (v19(constB12, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4350, 2514, 4311])).
% 4.25/4.46 tff(4979,plain,
% 4.25/4.46 (~v16(constB12)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2527, 4978])).
% 4.25/4.46 tff(4980,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2511, 382, 2499, 4979])).
% 4.25/4.46 tff(4981,plain,(v933(constB12) | v947(constB12) | (~v6(constB12, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4982,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4981, 4977, 4974, 4311])).
% 4.25/4.46 tff(4983,plain,((~(constB13 = sK293_VarCurr)) | (~v6(constB12, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4984,plain,
% 4.25/4.46 (~(constB13 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4983, 4311, 4])).
% 4.25/4.46 tff(4985,plain,
% 4.25/4.46 (~v6(constB14, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2345, 1, 4])).
% 4.25/4.46 tff(4986,plain,
% 4.25/4.46 (~v6(constB13, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2396, 4985])).
% 4.25/4.46 tff(4987,plain,
% 4.25/4.46 (~v949(constB13)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2432, 4986])).
% 4.25/4.46 tff(4988,plain,
% 4.25/4.46 (~v947(constB12)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2437, 4987])).
% 4.25/4.46 tff(4989,plain,
% 4.25/4.46 (~v6(constB14, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2445, 1, 19])).
% 4.25/4.46 tff(4990,plain,
% 4.25/4.46 (~v6(constB13, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2466, 4989])).
% 4.25/4.46 tff(4991,plain,
% 4.25/4.46 (~v935(constB13)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2492, 4990])).
% 4.25/4.46 tff(4992,plain,
% 4.25/4.46 (~v933(constB12)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[2497, 4991])).
% 4.25/4.46 tff(4993,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4981, 4992, 4988, 4311])).
% 4.25/4.46 tff(4994,plain,((~(constB14 = sK293_VarCurr)) | (~v6(constB12, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(4995,plain,
% 4.25/4.46 (~(constB14 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4994, 4311, 4])).
% 4.25/4.46 tff(4996,plain,
% 4.25/4.46 (~(constB10 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4213, 755, 4])).
% 4.25/4.46 tff(4997,assumption,(~(constB17 = sK293_VarCurr)), introduced(assumption)).
% 4.25/4.46 tff(4998,assumption,(v947(constB14)), introduced(assumption)).
% 4.25/4.46 tff(4999,plain,
% 4.25/4.46 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB14) | (~v947(constB14)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB14) | (~v947(constB14)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5000,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB14) | (~v947(constB14)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5001,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB14) | (~v947(constB14))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5000, 4999])).
% 4.25/4.46 tff(5002,plain,
% 4.25/4.46 (v16(constB14)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5001, 1913, 4998])).
% 4.25/4.46 tff(5003,plain,
% 4.25/4.46 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex1))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5004,plain,
% 4.25/4.46 (((~v16(constB14)) | v19(constB14, bitIndex1) | (~v947(constB14))) <=> ((~v947(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex1))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5005,plain,
% 4.25/4.46 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB14)) | v19(constB14, bitIndex1) | (~v947(constB14)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex1)))),
% 4.25/4.46 inference(monotonicity,[status(thm)],[5004])).
% 4.25/4.46 tff(5006,plain,
% 4.25/4.46 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB14)) | v19(constB14, bitIndex1) | (~v947(constB14)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex1))),
% 4.25/4.46 inference(transitivity,[status(thm)],[5005, 5003])).
% 4.25/4.46 tff(5007,plain,
% 4.25/4.46 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB14)) | v19(constB14, bitIndex1) | (~v947(constB14)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5008,plain,
% 4.25/4.46 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex1)),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5007, 5006])).
% 4.25/4.46 tff(5009,plain,
% 4.25/4.46 (v19(constB14, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5008, 4063, 4998, 5002])).
% 4.25/4.46 tff(5010,plain,
% 4.25/4.46 (v949(constB15)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3096, 4998])).
% 4.25/4.46 tff(5011,plain,
% 4.25/4.46 (v6(constB15, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3125, 5010])).
% 4.25/4.46 tff(5012,plain,
% 4.25/4.46 (~(constB15 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3858, 5011, 2321])).
% 4.25/4.46 tff(5013,plain,
% 4.25/4.46 (v6(constB16, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3146, 5011])).
% 4.25/4.46 tff(5014,plain,
% 4.25/4.46 (~(constB16 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3843, 5013, 2321])).
% 4.25/4.46 tff(5015,plain,
% 4.25/4.46 (constB13 = sK293_VarCurr),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4009, 5014, 2180, 2090, 3976, 3423, 3426, 3268, 3967, 3876, 3959, 3951, 3267, 3875, 3825, 2181, 3877, 4997, 4015, 5012, 3424])).
% 4.25/4.46 tff(5016,plain,
% 4.25/4.46 (~v6(constB13, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3886, 5015, 266])).
% 4.25/4.46 tff(5017,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v925(constB14) | (~v6(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v925(constB14) | (~v6(constB14, bitIndex0)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5018,plain,
% 4.25/4.46 (((~nextState(constB13, constB14)) | v6(constB13, bitIndex0) | v925(constB14) | (~v6(constB14, bitIndex0))) <=> (v6(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v925(constB14) | (~v6(constB14, bitIndex0)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5019,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v6(constB13, bitIndex0) | v925(constB14) | (~v6(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v925(constB14) | (~v6(constB14, bitIndex0))))),
% 4.25/4.46 inference(monotonicity,[status(thm)],[5018])).
% 4.25/4.46 tff(5020,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v6(constB13, bitIndex0) | v925(constB14) | (~v6(constB14, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v925(constB14) | (~v6(constB14, bitIndex0)))),
% 4.25/4.46 inference(transitivity,[status(thm)],[5019, 5017])).
% 4.25/4.46 tff(5021,plain,
% 4.25/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB13, constB14)) | v6(constB13, bitIndex0) | v925(constB14) | (~v6(constB14, bitIndex0)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5022,plain,
% 4.25/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB13, bitIndex0) | (~nextState(constB13, constB14)) | v925(constB14) | (~v6(constB14, bitIndex0))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5021, 5020])).
% 4.25/4.46 tff(5023,plain,
% 4.25/4.46 (v6(constB13, bitIndex0) | v925(constB14) | (~v6(constB14, bitIndex0))),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5022, 2219, 2369])).
% 4.25/4.46 tff(5024,plain,
% 4.25/4.46 (v6(constB13, bitIndex0) | (~v6(constB14, bitIndex0))),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5023, 2458])).
% 4.25/4.46 tff(5025,plain,
% 4.25/4.46 (~v6(constB14, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5024, 5016])).
% 4.25/4.46 tff(5026,plain,
% 4.25/4.46 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB14, bitIndex0) | (~v918(constB14)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB14, bitIndex0) | (~v918(constB14)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5027,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB14, bitIndex0) | (~v918(constB14)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5028,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB14, bitIndex0) | (~v918(constB14))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5027, 5026])).
% 4.25/4.46 tff(5029,plain,
% 4.25/4.46 (~v918(constB14)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5028, 645, 5025])).
% 4.25/4.46 tff(5030,plain,
% 4.25/4.46 (~v6(constB13, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3899, 5015, 2321])).
% 4.25/4.46 tff(5031,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v941(constB14) | (~v6(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v941(constB14) | (~v6(constB14, bitIndex1)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5032,plain,
% 4.25/4.46 (((~nextState(constB13, constB14)) | v6(constB13, bitIndex1) | v941(constB14) | (~v6(constB14, bitIndex1))) <=> (v6(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v941(constB14) | (~v6(constB14, bitIndex1)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5033,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v6(constB13, bitIndex1) | v941(constB14) | (~v6(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v941(constB14) | (~v6(constB14, bitIndex1))))),
% 4.25/4.46 inference(monotonicity,[status(thm)],[5032])).
% 4.25/4.46 tff(5034,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v6(constB13, bitIndex1) | v941(constB14) | (~v6(constB14, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v941(constB14) | (~v6(constB14, bitIndex1)))),
% 4.25/4.46 inference(transitivity,[status(thm)],[5033, 5031])).
% 4.25/4.46 tff(5035,plain,
% 4.25/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB13, constB14)) | v6(constB13, bitIndex1) | v941(constB14) | (~v6(constB14, bitIndex1)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5036,plain,
% 4.25/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB13, bitIndex1) | (~nextState(constB13, constB14)) | v941(constB14) | (~v6(constB14, bitIndex1))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5035, 5034])).
% 4.25/4.46 tff(5037,plain,
% 4.25/4.46 (v6(constB13, bitIndex1) | v941(constB14) | (~v6(constB14, bitIndex1))),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5036, 2242, 2369])).
% 4.25/4.46 tff(5038,plain,
% 4.25/4.46 (v6(constB13, bitIndex1) | (~v6(constB14, bitIndex1))),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5037, 2388])).
% 4.25/4.46 tff(5039,plain,
% 4.25/4.46 (~v6(constB14, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5038, 5030])).
% 4.25/4.46 tff(5040,plain,
% 4.25/4.46 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB14, bitIndex1) | (~v19(constB14, bitIndex1)) | v918(constB14))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB14, bitIndex1) | (~v19(constB14, bitIndex1)) | v918(constB14))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5041,plain,
% 4.25/4.46 ((v6(constB14, bitIndex1) | v918(constB14) | (~v19(constB14, bitIndex1))) <=> (v6(constB14, bitIndex1) | (~v19(constB14, bitIndex1)) | v918(constB14))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5042,plain,
% 4.25/4.46 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB14, bitIndex1) | v918(constB14) | (~v19(constB14, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB14, bitIndex1) | (~v19(constB14, bitIndex1)) | v918(constB14)))),
% 4.25/4.46 inference(monotonicity,[status(thm)],[5041])).
% 4.25/4.46 tff(5043,plain,
% 4.25/4.46 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB14, bitIndex1) | v918(constB14) | (~v19(constB14, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB14, bitIndex1) | (~v19(constB14, bitIndex1)) | v918(constB14))),
% 4.25/4.46 inference(transitivity,[status(thm)],[5042, 5040])).
% 4.25/4.46 tff(5044,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB14, bitIndex1) | v918(constB14) | (~v19(constB14, bitIndex1)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5045,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB14, bitIndex1) | (~v19(constB14, bitIndex1)) | v918(constB14)),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5044, 5043])).
% 4.25/4.46 tff(5046,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5045, 747, 5039, 5029, 5009])).
% 4.25/4.46 tff(5047,plain,((~v947(constB14)) | v6(sK293_VarCurr, bitIndex0) | (constB3 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB20 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB17 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB19 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(5048,plain,
% 4.25/4.46 (~v947(constB14)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5047, 3875, 266, 3951, 2180, 4997, 3268, 3876, 3426, 3267, 3423, 3877, 2181, 2090, 3825, 4015, 3424])).
% 4.25/4.46 tff(5049,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB14, constB15)) | v947(constB14) | (~v949(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB14, constB15)) | v947(constB14) | (~v949(constB15)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5050,plain,
% 4.25/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB14, constB15)) | v947(constB14) | (~v949(constB15)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5051,plain,
% 4.25/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB14, constB15)) | v947(constB14) | (~v949(constB15))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5050, 5049])).
% 4.25/4.46 tff(5052,plain,
% 4.25/4.46 (v947(constB14) | (~v949(constB15))),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5051, 4422, 2600])).
% 4.25/4.46 tff(5053,plain,
% 4.25/4.46 (~v949(constB15)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5052, 5048])).
% 4.25/4.46 tff(5054,plain,
% 4.25/4.46 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB15, bitIndex1)) | v949(constB15) | (~v941(constB15)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB15, bitIndex1)) | v949(constB15) | (~v941(constB15)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5055,plain,
% 4.25/4.46 (((~v6(constB15, bitIndex1)) | (~v941(constB15)) | v949(constB15)) <=> ((~v6(constB15, bitIndex1)) | v949(constB15) | (~v941(constB15)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5056,plain,
% 4.25/4.46 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB15, bitIndex1)) | (~v941(constB15)) | v949(constB15))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB15, bitIndex1)) | v949(constB15) | (~v941(constB15))))),
% 4.25/4.46 inference(monotonicity,[status(thm)],[5055])).
% 4.25/4.46 tff(5057,plain,
% 4.25/4.46 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB15, bitIndex1)) | (~v941(constB15)) | v949(constB15))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB15, bitIndex1)) | v949(constB15) | (~v941(constB15)))),
% 4.25/4.46 inference(transitivity,[status(thm)],[5056, 5054])).
% 4.25/4.46 tff(5058,plain,
% 4.25/4.46 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB15, bitIndex1)) | (~v941(constB15)) | v949(constB15))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5059,plain,
% 4.25/4.46 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB15, bitIndex1)) | v949(constB15) | (~v941(constB15))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5058, 5057])).
% 4.25/4.46 tff(5060,plain,
% 4.25/4.46 ((~v6(constB15, bitIndex1)) | v949(constB15)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5059, 4437, 3118])).
% 4.25/4.46 tff(5061,plain,
% 4.25/4.46 (~v6(constB15, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5060, 5053])).
% 4.25/4.46 tff(5062,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v941(constB16) | (~v6(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v941(constB16) | (~v6(constB16, bitIndex1)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5063,plain,
% 4.25/4.46 (((~nextState(constB15, constB16)) | v6(constB15, bitIndex1) | v941(constB16) | (~v6(constB16, bitIndex1))) <=> (v6(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v941(constB16) | (~v6(constB16, bitIndex1)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5064,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v6(constB15, bitIndex1) | v941(constB16) | (~v6(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v941(constB16) | (~v6(constB16, bitIndex1))))),
% 4.25/4.46 inference(monotonicity,[status(thm)],[5063])).
% 4.25/4.46 tff(5065,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v6(constB15, bitIndex1) | v941(constB16) | (~v6(constB16, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v941(constB16) | (~v6(constB16, bitIndex1)))),
% 4.25/4.46 inference(transitivity,[status(thm)],[5064, 5062])).
% 4.25/4.46 tff(5066,plain,
% 4.25/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB15, constB16)) | v6(constB15, bitIndex1) | v941(constB16) | (~v6(constB16, bitIndex1)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5067,plain,
% 4.25/4.46 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB15, bitIndex1) | (~nextState(constB15, constB16)) | v941(constB16) | (~v6(constB16, bitIndex1))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5066, 5065])).
% 4.25/4.46 tff(5068,plain,
% 4.25/4.46 (v6(constB15, bitIndex1) | v941(constB16) | (~v6(constB16, bitIndex1))),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5067, 2242, 2610])).
% 4.25/4.46 tff(5069,plain,
% 4.25/4.46 (v6(constB15, bitIndex1) | (~v6(constB16, bitIndex1))),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5068, 3138])).
% 4.25/4.46 tff(5070,plain,
% 4.25/4.46 (~v6(constB16, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5069, 5061])).
% 4.25/4.46 tff(5071,assumption,(~v6(constB16, bitIndex0)), introduced(assumption)).
% 4.25/4.46 tff(5072,plain,
% 4.25/4.46 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB16, bitIndex0) | (~v918(constB16)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB16, bitIndex0) | (~v918(constB16)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5073,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB16, bitIndex0) | (~v918(constB16)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5074,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB16, bitIndex0) | (~v918(constB16))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5073, 5072])).
% 4.25/4.46 tff(5075,plain,
% 4.25/4.46 (~v918(constB16)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5074, 645, 5071])).
% 4.25/4.46 tff(5076,assumption,(~v6(constB16, bitIndex1)), introduced(assumption)).
% 4.25/4.46 tff(5077,plain,
% 4.25/4.46 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB16, bitIndex1) | v918(constB16) | (~v19(constB16, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB16, bitIndex1) | v918(constB16) | (~v19(constB16, bitIndex1)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5078,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB16, bitIndex1) | v918(constB16) | (~v19(constB16, bitIndex1)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5079,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB16, bitIndex1) | v918(constB16) | (~v19(constB16, bitIndex1))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5078, 5077])).
% 4.25/4.46 tff(5080,plain,
% 4.25/4.46 (v918(constB16) | (~v19(constB16, bitIndex1))),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5079, 747, 5076])).
% 4.25/4.46 tff(5081,plain,
% 4.25/4.46 (~v19(constB16, bitIndex1)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5080, 5075])).
% 4.25/4.46 tff(5082,plain,
% 4.25/4.46 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB16, bitIndex0) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB16, bitIndex0) | (~v911(constB16)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5083,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB16, bitIndex0) | (~v911(constB16)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5084,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB16, bitIndex0) | (~v911(constB16))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5083, 5082])).
% 4.25/4.46 tff(5085,plain,
% 4.25/4.46 (~v911(constB16)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5084, 2097, 5071])).
% 4.25/4.46 tff(5086,plain,
% 4.25/4.46 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB16, bitIndex1) | v911(constB16) | (~v19(constB16, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB16, bitIndex1) | v911(constB16) | (~v19(constB16, bitIndex0)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5087,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB16, bitIndex1) | v911(constB16) | (~v19(constB16, bitIndex0)))),
% 4.25/4.46 inference(quant_inst,[status(thm)],[])).
% 4.25/4.46 tff(5088,plain,
% 4.25/4.46 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB16, bitIndex1) | v911(constB16) | (~v19(constB16, bitIndex0))),
% 4.25/4.46 inference(modus_ponens,[status(thm)],[5087, 5086])).
% 4.25/4.46 tff(5089,plain,
% 4.25/4.46 (v911(constB16) | (~v19(constB16, bitIndex0))),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5088, 2111, 5076])).
% 4.25/4.46 tff(5090,plain,
% 4.25/4.46 (~v19(constB16, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5089, 5085])).
% 4.25/4.46 tff(5091,plain,
% 4.25/4.46 ($false),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[4370, 5090, 5081, 4311])).
% 4.25/4.46 tff(5092,plain,(v6(constB16, bitIndex0) | (~v6(constB12, bitIndex1)) | v6(constB16, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.46 tff(5093,plain,
% 4.25/4.46 (v6(constB16, bitIndex0)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[5092, 5070, 4311])).
% 4.25/4.46 tff(5094,plain,
% 4.25/4.46 (~(constB16 = sK293_VarCurr)),
% 4.25/4.46 inference(unit_resolution,[status(thm)],[3832, 5093, 266])).
% 4.25/4.46 tff(5095,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v925(constB16) | (~v6(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v925(constB16) | (~v6(constB16, bitIndex0)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5096,plain,
% 4.25/4.46 (((~nextState(constB15, constB16)) | v6(constB15, bitIndex0) | v925(constB16) | (~v6(constB16, bitIndex0))) <=> (v6(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v925(constB16) | (~v6(constB16, bitIndex0)))),
% 4.25/4.46 inference(rewrite,[status(thm)],[])).
% 4.25/4.46 tff(5097,plain,
% 4.25/4.46 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v6(constB15, bitIndex0) | v925(constB16) | (~v6(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v925(constB16) | (~v6(constB16, bitIndex0))))),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5096])).
% 4.25/4.47 tff(5098,plain,
% 4.25/4.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v6(constB15, bitIndex0) | v925(constB16) | (~v6(constB16, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v925(constB16) | (~v6(constB16, bitIndex0)))),
% 4.25/4.47 inference(transitivity,[status(thm)],[5097, 5095])).
% 4.25/4.47 tff(5099,plain,
% 4.25/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB15, constB16)) | v6(constB15, bitIndex0) | v925(constB16) | (~v6(constB16, bitIndex0)))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5100,plain,
% 4.25/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB15, bitIndex0) | (~nextState(constB15, constB16)) | v925(constB16) | (~v6(constB16, bitIndex0))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5099, 5098])).
% 4.25/4.47 tff(5101,plain,
% 4.25/4.47 (v6(constB15, bitIndex0) | v925(constB16) | (~v6(constB16, bitIndex0))),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5100, 2219, 2610])).
% 4.25/4.47 tff(5102,plain,
% 4.25/4.47 (v6(constB15, bitIndex0) | (~v6(constB16, bitIndex0))),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5101, 2934])).
% 4.25/4.47 tff(5103,plain,
% 4.25/4.47 (v6(constB15, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5102, 5093])).
% 4.25/4.47 tff(5104,plain,
% 4.25/4.47 (~(constB15 = sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[3868, 5103, 266])).
% 4.25/4.47 tff(5105,plain,
% 4.25/4.47 ($false),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4009, 5104, 5094, 3976, 3967, 3959, 3951, 3950, 3825, 3876, 2180, 3268, 3424, 3426, 3267, 3423, 2181, 2090, 3875, 4997, 4015, 3877])).
% 4.25/4.47 tff(5106,plain,((constB8 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB20 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB17 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | v6(sK293_VarCurr, bitIndex0) | (~v6(constB12, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.25/4.47 tff(5107,plain,
% 4.25/4.47 (constB8 = sK293_VarCurr),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5106, 4996, 2179, 3421, 4995, 4984, 2090, 4971, 4959, 2089, 4945, 2181, 4938, 3267, 3424, 2180, 19, 4311])).
% 4.25/4.47 tff(5108,plain,
% 4.25/4.47 (v6(constB8, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5107])).
% 4.25/4.47 tff(5109,plain,
% 4.25/4.47 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB8, bitIndex0)),
% 4.25/4.47 inference(symmetry,[status(thm)],[5108])).
% 4.25/4.47 tff(5110,plain,
% 4.25/4.47 ((~v6(sK293_VarCurr, bitIndex0)) <=> (~v6(constB8, bitIndex0))),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5109])).
% 4.25/4.47 tff(5111,plain,
% 4.25/4.47 (~v6(constB8, bitIndex0)),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[19, 5110])).
% 4.25/4.47 tff(5112,plain,
% 4.25/4.47 ($false),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[755, 5111])).
% 4.25/4.47 tff(5113,plain,((~v6(constB8, bitIndex0)) | (constB9 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (~v6(constB12, bitIndex1)) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.47 tff(5114,plain,
% 4.25/4.47 (constB7 = sK293_VarCurr),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5113, 4783, 2065, 3424, 2090, 2181, 4795, 4])).
% 4.25/4.47 tff(5115,plain,
% 4.25/4.47 ($false),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2329, 5114, 4792, 19])).
% 4.25/4.47 tff(5116,plain,((constB11 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | v6(sK293_VarCurr, bitIndex1) | v19(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.47 tff(5117,plain,
% 4.25/4.47 (v19(constB6, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5116, 4384, 2032, 4, 2090])).
% 4.25/4.47 tff(5118,plain,
% 4.25/4.47 (~(constB7 = sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4143, 5117, 4])).
% 4.25/4.47 tff(5119,plain,
% 4.25/4.47 (~(constB14 = sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4994, 4310, 4])).
% 4.25/4.47 tff(5120,plain,
% 4.25/4.47 (~(constB20 = sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4937, 4310, 19])).
% 4.25/4.47 tff(5121,plain,
% 4.25/4.47 (~(constB12 = sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4944, 4310, 4])).
% 4.25/4.47 tff(5122,plain,
% 4.25/4.47 (~(constB18 = sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4958, 4310, 4])).
% 4.25/4.47 tff(5123,plain,
% 4.25/4.47 (~(constB17 = sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4970, 4310, 4])).
% 4.25/4.47 tff(5124,plain,
% 4.25/4.47 (~(constB13 = sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4983, 4310, 4])).
% 4.25/4.47 tff(5125,plain,
% 4.25/4.47 (~v6(constB8, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5113, 5118, 2065, 4384, 2090, 2032, 4310, 4])).
% 4.25/4.47 tff(5126,plain,
% 4.25/4.47 (~v6(constB7, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1192, 5125])).
% 4.25/4.47 tff(5127,plain,
% 4.25/4.47 (~v935(constB7)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1225, 5126])).
% 4.25/4.47 tff(5128,plain,
% 4.25/4.47 (~v933(constB6)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1230, 5127])).
% 4.25/4.47 tff(5129,plain,
% 4.25/4.47 (v16(constB6)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1320, 382, 5128])).
% 4.25/4.47 tff(5130,plain,
% 4.25/4.47 (v947(constB6)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1328, 400, 5129, 5117])).
% 4.25/4.47 tff(5131,plain,
% 4.25/4.47 (v949(constB7)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1314, 5130])).
% 4.25/4.47 tff(5132,plain,
% 4.25/4.47 (v6(constB7, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1309, 5131])).
% 4.25/4.47 tff(5133,plain,
% 4.25/4.47 (v6(constB8, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1280, 5132])).
% 4.25/4.47 tff(5134,plain,
% 4.25/4.47 (~(constB8 = sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4165, 5133, 4])).
% 4.25/4.47 tff(5135,plain,
% 4.25/4.47 (constB10 = sK293_VarCurr),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5106, 5134, 2179, 3421, 2065, 5124, 2090, 5123, 5122, 2089, 5121, 2032, 5120, 5119, 5118, 4384, 19, 4310])).
% 4.25/4.47 tff(5136,plain,
% 4.25/4.47 (v918(constB10) <=> v918(sK293_VarCurr)),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5135])).
% 4.25/4.47 tff(5137,plain,
% 4.25/4.47 (v918(sK293_VarCurr) <=> v918(constB10)),
% 4.25/4.47 inference(symmetry,[status(thm)],[5136])).
% 4.25/4.47 tff(5138,plain,
% 4.25/4.47 ((~v918(sK293_VarCurr)) <=> (~v918(constB10))),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5137])).
% 4.25/4.47 tff(5139,plain,
% 4.25/4.47 (~v918(constB10)),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[2133, 5138])).
% 4.25/4.47 tff(5140,plain,
% 4.25/4.47 (~v6(constB10, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4179, 5135, 4])).
% 4.25/4.47 tff(5141,plain,
% 4.25/4.47 (v19(constB10, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4403, 4287])).
% 4.25/4.47 tff(5142,plain,
% 4.25/4.47 (v6(constB10, bitIndex1) | v918(constB10)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4692, 747, 5141])).
% 4.25/4.47 tff(5143,plain,
% 4.25/4.47 (v918(constB10)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5142, 5140])).
% 4.25/4.47 tff(5144,plain,
% 4.25/4.47 ($false),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5143, 5139])).
% 4.25/4.47 tff(5145,plain,((constB9 = sK293_VarCurr) | v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.47 tff(5146,plain,
% 4.25/4.47 (constB9 = sK293_VarCurr),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5145, 4])).
% 4.25/4.47 tff(5147,plain,
% 4.25/4.47 (~v6(constB9, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2190, 5146, 19])).
% 4.25/4.47 tff(5148,plain,
% 4.25/4.47 (~v6(constB10, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2227, 5147])).
% 4.25/4.47 tff(5149,plain,
% 4.25/4.47 (~v911(constB10)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2231, 2097, 5148])).
% 4.25/4.47 tff(5150,plain,
% 4.25/4.47 (~v6(constB9, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2201, 5146, 4])).
% 4.25/4.47 tff(5151,plain,
% 4.25/4.47 (~v6(constB10, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2250, 5150])).
% 4.25/4.47 tff(5152,plain,
% 4.25/4.47 (~v935(constB9)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[628, 5147])).
% 4.25/4.47 tff(5153,plain,
% 4.25/4.47 (~v933(constB8)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[633, 5152])).
% 4.25/4.47 tff(5154,plain,
% 4.25/4.47 (~v19(constB8, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1237, 5153])).
% 4.25/4.47 tff(5155,plain,
% 4.25/4.47 (v19(constB6, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2300, 5146, 4])).
% 4.25/4.47 tff(5156,plain,
% 4.25/4.47 (v918(constB9) <=> v918(sK293_VarCurr)),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5146])).
% 4.25/4.47 tff(5157,plain,
% 4.25/4.47 (v918(sK293_VarCurr) <=> v918(constB9)),
% 4.25/4.47 inference(symmetry,[status(thm)],[5156])).
% 4.25/4.47 tff(5158,plain,
% 4.25/4.47 ((~v918(sK293_VarCurr)) <=> (~v918(constB9))),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5157])).
% 4.25/4.47 tff(5159,plain,
% 4.25/4.47 (~v918(constB9)),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[2133, 5158])).
% 4.25/4.47 tff(5160,plain,
% 4.25/4.47 (v16(constB8)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[637, 382, 5153])).
% 4.25/4.47 tff(5161,assumption,(~v6(constB10, bitIndex1)), introduced(assumption)).
% 4.25/4.47 tff(5162,plain,
% 4.25/4.47 (~v6(constB9, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[736, 5161])).
% 4.25/4.47 tff(5163,plain,
% 4.25/4.47 (~v949(constB9)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[944, 5162])).
% 4.25/4.47 tff(5164,plain,
% 4.25/4.47 (~v947(constB8)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[949, 5163])).
% 4.25/4.47 tff(5165,plain,
% 4.25/4.47 (~v19(constB8, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[958, 5164])).
% 4.25/4.47 tff(5166,plain,
% 4.25/4.47 (~v6(constB8, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1259, 5165, 1244])).
% 4.25/4.47 tff(5167,plain,
% 4.25/4.47 (~v6(constB7, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1280, 5166])).
% 4.25/4.47 tff(5168,plain,
% 4.25/4.47 (~v949(constB7)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1309, 5167])).
% 4.25/4.47 tff(5169,plain,
% 4.25/4.47 (~v947(constB6)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1314, 5168])).
% 4.25/4.47 tff(5170,plain,
% 4.25/4.47 (~v16(constB6)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4137, 5169])).
% 4.25/4.47 tff(5171,plain,
% 4.25/4.47 (v6(constB10, bitIndex1) | (~v19(constB10, bitIndex0))),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2254, 2111, 512])).
% 4.25/4.47 tff(5172,plain,
% 4.25/4.47 (~v19(constB10, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5171, 5161])).
% 4.25/4.47 tff(5173,plain,
% 4.25/4.47 (v6(constB9, bitIndex1) | (~v19(constB9, bitIndex1))),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[753, 747, 4641])).
% 4.25/4.47 tff(5174,plain,
% 4.25/4.47 (~v19(constB9, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5173, 5162])).
% 4.25/4.47 tff(5175,plain,
% 4.25/4.47 (~v6(constB8, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1171, 5174, 951, 5172])).
% 4.25/4.47 tff(5176,plain,
% 4.25/4.47 (~v6(constB7, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1192, 5175])).
% 4.25/4.47 tff(5177,plain,
% 4.25/4.47 (~v935(constB7)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1225, 5176])).
% 4.25/4.47 tff(5178,plain,
% 4.25/4.47 (~v933(constB6)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1230, 5177])).
% 4.25/4.47 tff(5179,plain,
% 4.25/4.47 ($false),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[1320, 382, 5178, 5170])).
% 4.25/4.47 tff(5180,plain,(v6(constB10, bitIndex1) | (~v19(constB6, bitIndex1)) | v19(constB8, bitIndex0) | (~v16(constB8)) | v918(constB9) | v911(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.47 tff(5181,plain,
% 4.25/4.47 ($false),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5180, 5160, 5159, 5155, 5154, 5151, 5149])).
% 4.25/4.47 tff(5182,plain,(v6(sK293_VarCurr, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.25/4.47 tff(5183,plain,
% 4.25/4.47 (v6(constB14, bitIndex1)),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5182, 3])).
% 4.25/4.47 tff(5184,plain,
% 4.25/4.47 (v19(constB10, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4403, 4390])).
% 4.25/4.47 tff(5185,plain,
% 4.25/4.47 (v16(constB10)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4401, 1913, 4390])).
% 4.25/4.47 tff(5186,assumption,(~v6(constB12, bitIndex0)), introduced(assumption)).
% 4.25/4.47 tff(5187,plain,
% 4.25/4.47 (~v6(constB11, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4283, 5186])).
% 4.25/4.47 tff(5188,plain,
% 4.25/4.47 (~v935(constB11)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[336, 5187])).
% 4.25/4.47 tff(5189,plain,
% 4.25/4.47 (~v933(constB10)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[351, 5188])).
% 4.25/4.47 tff(5190,plain,
% 4.25/4.47 (v947(constB10)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2029, 5189])).
% 4.25/4.47 tff(5191,plain,
% 4.25/4.47 (v19(constB10, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[4403, 5190])).
% 4.25/4.47 tff(5192,plain,
% 4.25/4.47 (~v19(constB10, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[387, 5189])).
% 4.25/4.47 tff(5193,plain,
% 4.25/4.47 (~v911(constB10)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[419, 416, 5192])).
% 4.25/4.47 tff(5194,plain,
% 4.25/4.47 (v6(constB19, bitIndex1)),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5182, 2687])).
% 4.25/4.47 tff(5195,plain,
% 4.25/4.47 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB19, bitIndex1)) | v949(constB19) | (~v941(constB19)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB19, bitIndex1)) | v949(constB19) | (~v941(constB19)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5196,plain,
% 4.25/4.47 (((~v6(constB19, bitIndex1)) | (~v941(constB19)) | v949(constB19)) <=> ((~v6(constB19, bitIndex1)) | v949(constB19) | (~v941(constB19)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5197,plain,
% 4.25/4.47 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB19, bitIndex1)) | (~v941(constB19)) | v949(constB19))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB19, bitIndex1)) | v949(constB19) | (~v941(constB19))))),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5196])).
% 4.25/4.47 tff(5198,plain,
% 4.25/4.47 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB19, bitIndex1)) | (~v941(constB19)) | v949(constB19))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB19, bitIndex1)) | v949(constB19) | (~v941(constB19)))),
% 4.25/4.47 inference(transitivity,[status(thm)],[5197, 5195])).
% 4.25/4.47 tff(5199,plain,
% 4.25/4.47 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB19, bitIndex1)) | (~v941(constB19)) | v949(constB19))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5200,plain,
% 4.25/4.47 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB19, bitIndex1)) | v949(constB19) | (~v941(constB19))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5199, 5198])).
% 4.25/4.47 tff(5201,plain,
% 4.25/4.47 ((~v6(constB19, bitIndex1)) | v949(constB19)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5200, 4437, 2714])).
% 4.25/4.47 tff(5202,plain,
% 4.25/4.47 (v949(constB19)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5201, 5194])).
% 4.25/4.47 tff(5203,plain,
% 4.25/4.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB18, constB19)) | v947(constB18) | (~v949(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB18, constB19)) | v947(constB18) | (~v949(constB19)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5204,plain,
% 4.25/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB18, constB19)) | v947(constB18) | (~v949(constB19)))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5205,plain,
% 4.25/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB18, constB19)) | v947(constB18) | (~v949(constB19))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5204, 5203])).
% 4.25/4.47 tff(5206,plain,
% 4.25/4.47 (v947(constB18) | (~v949(constB19))),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5205, 4422, 2640])).
% 4.25/4.47 tff(5207,plain,
% 4.25/4.47 (v947(constB18)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5206, 5202])).
% 4.25/4.47 tff(5208,plain,
% 4.25/4.47 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB18) | (~v947(constB18)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB18) | (~v947(constB18)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5209,plain,
% 4.25/4.47 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB18) | (~v947(constB18)))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5210,plain,
% 4.25/4.47 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB18) | (~v947(constB18))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5209, 5208])).
% 4.25/4.47 tff(5211,plain,
% 4.25/4.47 (v16(constB18)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5210, 1913, 5207])).
% 4.25/4.47 tff(5212,plain,
% 4.25/4.47 (v809(sK293_VarCurr)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2320, 2317, 5182])).
% 4.25/4.47 tff(5213,plain,
% 4.25/4.47 (v6(sK293_VarCurr, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[2309, 5212])).
% 4.25/4.47 tff(5214,plain,
% 4.25/4.47 (v6(constB19, bitIndex0)),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5213, 2591])).
% 4.25/4.47 tff(5215,plain,
% 4.25/4.47 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB19, bitIndex0)) | v935(constB19) | (~v925(constB19)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB19, bitIndex0)) | v935(constB19) | (~v925(constB19)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5216,plain,
% 4.25/4.47 (((~v6(constB19, bitIndex0)) | (~v925(constB19)) | v935(constB19)) <=> ((~v6(constB19, bitIndex0)) | v935(constB19) | (~v925(constB19)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5217,plain,
% 4.25/4.47 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB19, bitIndex0)) | (~v925(constB19)) | v935(constB19))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB19, bitIndex0)) | v935(constB19) | (~v925(constB19))))),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5216])).
% 4.25/4.47 tff(5218,plain,
% 4.25/4.47 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB19, bitIndex0)) | (~v925(constB19)) | v935(constB19))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB19, bitIndex0)) | v935(constB19) | (~v925(constB19)))),
% 4.25/4.47 inference(transitivity,[status(thm)],[5217, 5215])).
% 4.25/4.47 tff(5219,plain,
% 4.25/4.47 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB19, bitIndex0)) | (~v925(constB19)) | v935(constB19))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5220,plain,
% 4.25/4.47 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB19, bitIndex0)) | v935(constB19) | (~v925(constB19))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5219, 5218])).
% 4.25/4.47 tff(5221,plain,
% 4.25/4.47 ((~v6(constB19, bitIndex0)) | v935(constB19)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5220, 4716, 2672])).
% 4.25/4.47 tff(5222,plain,
% 4.25/4.47 (v935(constB19)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5221, 5214])).
% 4.25/4.47 tff(5223,plain,
% 4.25/4.47 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB18, constB19)) | v933(constB18) | (~v935(constB19)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB18, constB19)) | v933(constB18) | (~v935(constB19)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5224,plain,
% 4.25/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB18, constB19)) | v933(constB18) | (~v935(constB19)))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5225,plain,
% 4.25/4.47 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB18, constB19)) | v933(constB18) | (~v935(constB19))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5224, 5223])).
% 4.25/4.47 tff(5226,plain,
% 4.25/4.47 (v933(constB18) | (~v935(constB19))),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5225, 4734, 2640])).
% 4.25/4.47 tff(5227,plain,
% 4.25/4.47 (v933(constB18)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5226, 5222])).
% 4.25/4.47 tff(5228,plain,
% 4.25/4.47 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex0))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5229,plain,
% 4.25/4.47 (((~v16(constB18)) | v19(constB18, bitIndex0) | (~v933(constB18))) <=> ((~v933(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex0))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5230,plain,
% 4.25/4.47 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB18)) | v19(constB18, bitIndex0) | (~v933(constB18)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex0)))),
% 4.25/4.47 inference(monotonicity,[status(thm)],[5229])).
% 4.25/4.47 tff(5231,plain,
% 4.25/4.47 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB18)) | v19(constB18, bitIndex0) | (~v933(constB18)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex0))),
% 4.25/4.47 inference(transitivity,[status(thm)],[5230, 5228])).
% 4.25/4.47 tff(5232,plain,
% 4.25/4.47 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB18)) | v19(constB18, bitIndex0) | (~v933(constB18)))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5233,plain,
% 4.25/4.47 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex0)),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5232, 5231])).
% 4.25/4.47 tff(5234,plain,
% 4.25/4.47 (v19(constB18, bitIndex0)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5233, 4749, 5227, 5211])).
% 4.25/4.47 tff(5235,assumption,(~v6(constB18, bitIndex1)), introduced(assumption)).
% 4.25/4.47 tff(5236,plain,
% 4.25/4.47 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB18, bitIndex1) | v911(constB18) | (~v19(constB18, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB18, bitIndex1) | v911(constB18) | (~v19(constB18, bitIndex0)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5237,plain,
% 4.25/4.47 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB18, bitIndex1) | v911(constB18) | (~v19(constB18, bitIndex0)))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5238,plain,
% 4.25/4.47 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB18, bitIndex1) | v911(constB18) | (~v19(constB18, bitIndex0))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5237, 5236])).
% 4.25/4.47 tff(5239,plain,
% 4.25/4.47 (v911(constB18) | (~v19(constB18, bitIndex0))),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5238, 2111, 5235])).
% 4.25/4.47 tff(5240,plain,
% 4.25/4.47 (v911(constB18)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5239, 5234])).
% 4.25/4.47 tff(5241,plain,
% 4.25/4.47 (^[VarCurr: $i] : refl(((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr))) <=> ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr))))),
% 4.25/4.47 inference(bind,[status(th)],[])).
% 4.25/4.47 tff(5242,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(quant_intro,[status(thm)],[5241])).
% 4.25/4.47 tff(5243,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5244,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9933')).
% 4.25/4.47 tff(5245,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5244, 5243])).
% 4.25/4.47 tff(5246,plain,(
% 4.25/4.47 ![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(skolemize,[status(sab)],[5245])).
% 4.25/4.47 tff(5247,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5246, 5242])).
% 4.25/4.47 tff(5248,plain,
% 4.25/4.47 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex1)) | (~v911(constB18)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex1)) | (~v911(constB18)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5249,plain,
% 4.25/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex1)) | (~v911(constB18)))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5250,plain,
% 4.25/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex1)) | (~v911(constB18))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5249, 5248])).
% 4.25/4.47 tff(5251,plain,
% 4.25/4.47 (~v25(constB18, bitIndex1)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5250, 5247, 5240])).
% 4.25/4.47 tff(5252,plain,
% 4.25/4.47 (^[VarCurr: $i] : refl(((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr))) <=> ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr))))),
% 4.25/4.47 inference(bind,[status(th)],[])).
% 4.25/4.47 tff(5253,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(quant_intro,[status(thm)],[5252])).
% 4.25/4.47 tff(5254,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5255,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9936')).
% 4.25/4.47 tff(5256,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5255, 5254])).
% 4.25/4.47 tff(5257,plain,(
% 4.25/4.47 ![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(skolemize,[status(sab)],[5256])).
% 4.25/4.47 tff(5258,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5257, 5253])).
% 4.25/4.47 tff(5259,plain,
% 4.25/4.47 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex3)) | (~v911(constB18)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex3)) | (~v911(constB18)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5260,plain,
% 4.25/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex3)) | (~v911(constB18)))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5261,plain,
% 4.25/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex3)) | (~v911(constB18))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5260, 5259])).
% 4.25/4.47 tff(5262,plain,
% 4.25/4.47 (~v25(constB18, bitIndex3)),
% 4.25/4.47 inference(unit_resolution,[status(thm)],[5261, 5258, 5240])).
% 4.25/4.47 tff(5263,plain,
% 4.25/4.47 (^[VarCurr: $i] : refl(((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr))) <=> ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr))))),
% 4.25/4.47 inference(bind,[status(th)],[])).
% 4.25/4.47 tff(5264,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(quant_intro,[status(thm)],[5263])).
% 4.25/4.47 tff(5265,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5266,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9934')).
% 4.25/4.47 tff(5267,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5266, 5265])).
% 4.25/4.47 tff(5268,plain,(
% 4.25/4.47 ![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(skolemize,[status(sab)],[5267])).
% 4.25/4.47 tff(5269,plain,
% 4.25/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))),
% 4.25/4.47 inference(modus_ponens,[status(thm)],[5268, 5264])).
% 4.25/4.47 tff(5270,plain,
% 4.25/4.47 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex0)) | (~v911(constB18)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex0)) | (~v911(constB18)))),
% 4.25/4.47 inference(rewrite,[status(thm)],[])).
% 4.25/4.47 tff(5271,plain,
% 4.25/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex0)) | (~v911(constB18)))),
% 4.25/4.47 inference(quant_inst,[status(thm)],[])).
% 4.25/4.47 tff(5272,plain,
% 4.25/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex0)) | (~v911(constB18))),
% 4.31/4.47 inference(modus_ponens,[status(thm)],[5271, 5270])).
% 4.31/4.47 tff(5273,plain,
% 4.31/4.47 (~v25(constB18, bitIndex0)),
% 4.31/4.47 inference(unit_resolution,[status(thm)],[5272, 5269, 5240])).
% 4.31/4.47 tff(5274,plain,
% 4.31/4.47 (^[VarCurr: $i] : refl(((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr))) <=> ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr))))),
% 4.31/4.47 inference(bind,[status(th)],[])).
% 4.31/4.47 tff(5275,plain,
% 4.31/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(quant_intro,[status(thm)],[5274])).
% 4.31/4.47 tff(5276,plain,
% 4.31/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(rewrite,[status(thm)],[])).
% 4.31/4.47 tff(5277,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9937')).
% 4.31/4.47 tff(5278,plain,
% 4.31/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(modus_ponens,[status(thm)],[5277, 5276])).
% 4.31/4.47 tff(5279,plain,(
% 4.31/4.47 ![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(skolemize,[status(sab)],[5278])).
% 4.31/4.47 tff(5280,plain,
% 4.31/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(modus_ponens,[status(thm)],[5279, 5275])).
% 4.31/4.47 tff(5281,plain,
% 4.31/4.47 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex4)) | (~v911(constB18)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex4)) | (~v911(constB18)))),
% 4.31/4.47 inference(rewrite,[status(thm)],[])).
% 4.31/4.47 tff(5282,plain,
% 4.31/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex4)) | (~v911(constB18)))),
% 4.31/4.47 inference(quant_inst,[status(thm)],[])).
% 4.31/4.47 tff(5283,plain,
% 4.31/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex4)) | (~v911(constB18))),
% 4.31/4.47 inference(modus_ponens,[status(thm)],[5282, 5281])).
% 4.31/4.47 tff(5284,plain,
% 4.31/4.47 (~v25(constB18, bitIndex4)),
% 4.31/4.47 inference(unit_resolution,[status(thm)],[5283, 5280, 5240])).
% 4.31/4.47 tff(5285,plain,
% 4.31/4.47 (^[VarCurr: $i] : refl(((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr))) <=> ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr))))),
% 4.31/4.47 inference(bind,[status(th)],[])).
% 4.31/4.47 tff(5286,plain,
% 4.31/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(quant_intro,[status(thm)],[5285])).
% 4.31/4.47 tff(5287,plain,
% 4.31/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr))) <=> ![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(rewrite,[status(thm)],[])).
% 4.31/4.47 tff(5288,axiom,(![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9935')).
% 4.31/4.47 tff(5289,plain,
% 4.31/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(modus_ponens,[status(thm)],[5288, 5287])).
% 4.31/4.47 tff(5290,plain,(
% 4.31/4.47 ![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(skolemize,[status(sab)],[5289])).
% 4.31/4.47 tff(5291,plain,
% 4.31/4.47 (![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))),
% 4.31/4.47 inference(modus_ponens,[status(thm)],[5290, 5286])).
% 4.31/4.47 tff(5292,plain,
% 4.31/4.47 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex2)) | (~v911(constB18)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex2)) | (~v911(constB18)))),
% 4.31/4.47 inference(rewrite,[status(thm)],[])).
% 4.31/4.47 tff(5293,plain,
% 4.31/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB18, bitIndex2)) | (~v911(constB18)))),
% 4.31/4.47 inference(quant_inst,[status(thm)],[])).
% 4.31/4.47 tff(5294,plain,
% 4.31/4.47 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v25(constB18, bitIndex2)) | (~v911(constB18))),
% 4.31/4.47 inference(modus_ponens,[status(thm)],[5293, 5292])).
% 4.31/4.47 tff(5295,plain,
% 4.31/4.47 (~v25(constB18, bitIndex2)),
% 4.31/4.47 inference(unit_resolution,[status(thm)],[5294, 5291, 5240])).
% 4.31/4.47 tff(5296,plain,
% 4.31/4.47 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex1))),
% 4.31/4.47 inference(rewrite,[status(thm)],[])).
% 4.31/4.47 tff(5297,plain,
% 4.31/4.47 (((~v16(constB18)) | v19(constB18, bitIndex1) | (~v947(constB18))) <=> ((~v947(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex1))),
% 4.31/4.47 inference(rewrite,[status(thm)],[])).
% 4.31/4.47 tff(5298,plain,
% 4.31/4.47 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB18)) | v19(constB18, bitIndex1) | (~v947(constB18)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex1)))),
% 4.31/4.47 inference(monotonicity,[status(thm)],[5297])).
% 4.31/4.47 tff(5299,plain,
% 4.31/4.47 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB18)) | v19(constB18, bitIndex1) | (~v947(constB18)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex1))),
% 4.31/4.47 inference(transitivity,[status(thm)],[5298, 5296])).
% 4.31/4.47 tff(5300,plain,
% 4.31/4.47 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB18)) | v19(constB18, bitIndex1) | (~v947(constB18)))),
% 4.31/4.47 inference(quant_inst,[status(thm)],[])).
% 4.31/4.47 tff(5301,plain,
% 4.31/4.47 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB18)) | (~v16(constB18)) | v19(constB18, bitIndex1)),
% 4.31/4.47 inference(modus_ponens,[status(thm)],[5300, 5299])).
% 4.31/4.47 tff(5302,plain,
% 4.31/4.47 (v19(constB18, bitIndex1)),
% 4.31/4.47 inference(unit_resolution,[status(thm)],[5301, 4063, 5207, 5211])).
% 4.31/4.47 tff(5303,plain,
% 4.31/4.47 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB18, bitIndex1) | v918(constB18) | (~v19(constB18, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB18, bitIndex1) | v918(constB18) | (~v19(constB18, bitIndex1)))),
% 4.31/4.47 inference(rewrite,[status(thm)],[])).
% 4.31/4.47 tff(5304,plain,
% 4.31/4.47 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB18, bitIndex1) | v918(constB18) | (~v19(constB18, bitIndex1)))),
% 4.31/4.47 inference(quant_inst,[status(thm)],[])).
% 4.31/4.47 tff(5305,plain,
% 4.31/4.47 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB18, bitIndex1) | v918(constB18) | (~v19(constB18, bitIndex1))),
% 4.31/4.47 inference(modus_ponens,[status(thm)],[5304, 5303])).
% 4.31/4.47 tff(5306,plain,
% 4.31/4.47 (v918(constB18) | (~v19(constB18, bitIndex1))),
% 4.31/4.47 inference(unit_resolution,[status(thm)],[5305, 747, 5235])).
% 4.31/4.47 tff(5307,plain,
% 4.31/4.47 (v918(constB18)),
% 4.31/4.47 inference(unit_resolution,[status(thm)],[5306, 5302])).
% 4.31/4.47 tff(5308,plain,
% 4.31/4.47 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB18)) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB18)) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1))),
% 4.31/4.47 inference(rewrite,[status(thm)],[])).
% 4.31/4.47 tff(5309,plain,
% 4.31/4.47 ((v25(constB18, bitIndex1) | v25(constB18, bitIndex0) | v25(constB18, bitIndex2) | v25(constB18, bitIndex3) | v25(constB18, bitIndex4) | (~v918(constB18))) <=> ((~v918(constB18)) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5310,plain,
% 4.31/4.48 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB18, bitIndex1) | v25(constB18, bitIndex0) | v25(constB18, bitIndex2) | v25(constB18, bitIndex3) | v25(constB18, bitIndex4) | (~v918(constB18)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB18)) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1)))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5309])).
% 4.31/4.48 tff(5311,plain,
% 4.31/4.48 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB18, bitIndex1) | v25(constB18, bitIndex0) | v25(constB18, bitIndex2) | v25(constB18, bitIndex3) | v25(constB18, bitIndex4) | (~v918(constB18)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB18)) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5310, 5308])).
% 4.31/4.48 tff(5312,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB18, bitIndex1) | v25(constB18, bitIndex0) | v25(constB18, bitIndex2) | v25(constB18, bitIndex3) | v25(constB18, bitIndex4) | (~v918(constB18)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5313,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB18)) | v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1)),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5312, 5311])).
% 4.31/4.48 tff(5314,plain,
% 4.31/4.48 (v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5313, 4630, 5307])).
% 4.31/4.48 tff(5315,plain,
% 4.31/4.48 ($false),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5314, 5295, 5284, 5273, 5262, 5251])).
% 4.31/4.48 tff(5316,plain,((~(constB19 = sK293_VarCurr)) | v6(constB18, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.48 tff(5317,plain,
% 4.31/4.48 (v6(constB18, bitIndex1)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5316, 2589])).
% 4.31/4.48 tff(5318,plain,
% 4.31/4.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v941(constB18) | (~v6(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v941(constB18) | (~v6(constB18, bitIndex1)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5319,plain,
% 4.31/4.48 (((~nextState(constB17, constB18)) | v6(constB17, bitIndex1) | v941(constB18) | (~v6(constB18, bitIndex1))) <=> (v6(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v941(constB18) | (~v6(constB18, bitIndex1)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5320,plain,
% 4.31/4.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v6(constB17, bitIndex1) | v941(constB18) | (~v6(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v941(constB18) | (~v6(constB18, bitIndex1))))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5319])).
% 4.31/4.48 tff(5321,plain,
% 4.31/4.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v6(constB17, bitIndex1) | v941(constB18) | (~v6(constB18, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v941(constB18) | (~v6(constB18, bitIndex1)))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5320, 5318])).
% 4.31/4.48 tff(5322,plain,
% 4.31/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB17, constB18)) | v6(constB17, bitIndex1) | v941(constB18) | (~v6(constB18, bitIndex1)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5323,plain,
% 4.31/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB17, bitIndex1) | (~nextState(constB17, constB18)) | v941(constB18) | (~v6(constB18, bitIndex1))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5322, 5321])).
% 4.31/4.48 tff(5324,plain,
% 4.31/4.48 (v6(constB17, bitIndex1) | v941(constB18) | (~v6(constB18, bitIndex1))),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5323, 2242, 2630])).
% 4.31/4.48 tff(5325,plain,
% 4.31/4.48 (v6(constB17, bitIndex1) | (~v6(constB18, bitIndex1))),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5324, 2787])).
% 4.31/4.48 tff(5326,plain,
% 4.31/4.48 (v6(constB17, bitIndex1)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5325, 5317])).
% 4.31/4.48 tff(5327,plain,
% 4.31/4.48 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB17, bitIndex1)) | v949(constB17) | (~v941(constB17)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB17, bitIndex1)) | v949(constB17) | (~v941(constB17)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5328,plain,
% 4.31/4.48 (((~v6(constB17, bitIndex1)) | (~v941(constB17)) | v949(constB17)) <=> ((~v6(constB17, bitIndex1)) | v949(constB17) | (~v941(constB17)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5329,plain,
% 4.31/4.48 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB17, bitIndex1)) | (~v941(constB17)) | v949(constB17))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB17, bitIndex1)) | v949(constB17) | (~v941(constB17))))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5328])).
% 4.31/4.48 tff(5330,plain,
% 4.31/4.48 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB17, bitIndex1)) | (~v941(constB17)) | v949(constB17))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB17, bitIndex1)) | v949(constB17) | (~v941(constB17)))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5329, 5327])).
% 4.31/4.48 tff(5331,plain,
% 4.31/4.48 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB17, bitIndex1)) | (~v941(constB17)) | v949(constB17))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5332,plain,
% 4.31/4.48 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB17, bitIndex1)) | v949(constB17) | (~v941(constB17))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5331, 5330])).
% 4.31/4.48 tff(5333,plain,
% 4.31/4.48 ((~v6(constB17, bitIndex1)) | v949(constB17)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5332, 4437, 2824])).
% 4.31/4.48 tff(5334,plain,
% 4.31/4.48 (v949(constB17)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5333, 5326])).
% 4.31/4.48 tff(5335,plain,
% 4.31/4.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB16, constB17)) | v947(constB16) | (~v949(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB16, constB17)) | v947(constB16) | (~v949(constB17)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5336,plain,
% 4.31/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB16, constB17)) | v947(constB16) | (~v949(constB17)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5337,plain,
% 4.31/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB16, constB17)) | v947(constB16) | (~v949(constB17))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5336, 5335])).
% 4.31/4.48 tff(5338,plain,
% 4.31/4.48 (v947(constB16) | (~v949(constB17))),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5337, 4422, 2620])).
% 4.31/4.48 tff(5339,plain,
% 4.31/4.48 (v947(constB16)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5338, 5334])).
% 4.31/4.48 tff(5340,assumption,(v947(constB16)), introduced(assumption)).
% 4.31/4.48 tff(5341,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex1))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5342,plain,
% 4.31/4.48 (((~v16(constB16)) | v19(constB16, bitIndex1) | (~v947(constB16))) <=> ((~v947(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex1))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5343,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB16)) | v19(constB16, bitIndex1) | (~v947(constB16)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex1)))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5342])).
% 4.31/4.48 tff(5344,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB16)) | v19(constB16, bitIndex1) | (~v947(constB16)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex1))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5343, 5341])).
% 4.31/4.48 tff(5345,plain,
% 4.31/4.48 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB16)) | v19(constB16, bitIndex1) | (~v947(constB16)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5346,plain,
% 4.31/4.48 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex1)),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5345, 5344])).
% 4.31/4.48 tff(5347,plain,
% 4.31/4.48 ((~v947(constB16)) | (~v16(constB16))),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5346, 4063, 2865])).
% 4.31/4.48 tff(5348,plain,
% 4.31/4.48 (~v16(constB16)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5347, 5340])).
% 4.31/4.48 tff(5349,plain,
% 4.31/4.48 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB16) | (~v947(constB16)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB16) | (~v947(constB16)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5350,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB16) | (~v947(constB16)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5351,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB16) | (~v947(constB16))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5350, 5349])).
% 4.31/4.48 tff(5352,plain,
% 4.31/4.48 ($false),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5351, 1913, 5340, 5348])).
% 4.31/4.48 tff(5353,plain,((~v947(constB16)) | v19(constB16, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.48 tff(5354,plain,
% 4.31/4.48 (v19(constB16, bitIndex1)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5353, 5339])).
% 4.31/4.48 tff(5355,assumption,(~v6(constB18, bitIndex0)), introduced(assumption)).
% 4.31/4.48 tff(5356,plain,
% 4.31/4.48 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB18, bitIndex0) | (~v911(constB18)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB18, bitIndex0) | (~v911(constB18)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5357,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB18, bitIndex0) | (~v911(constB18)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5358,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB18, bitIndex0) | (~v911(constB18))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5357, 5356])).
% 4.31/4.48 tff(5359,plain,
% 4.31/4.48 (~v911(constB18)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5358, 2097, 5355])).
% 4.31/4.48 tff(5360,plain,
% 4.31/4.48 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB18, bitIndex0) | (~v918(constB18)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB18, bitIndex0) | (~v918(constB18)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5361,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB18, bitIndex0) | (~v918(constB18)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5362,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB18, bitIndex0) | (~v918(constB18))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5361, 5360])).
% 4.31/4.48 tff(5363,plain,
% 4.31/4.48 (~v918(constB18)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5362, 645, 5355])).
% 4.31/4.48 tff(5364,plain,
% 4.31/4.48 (^[VarCurr: $i] : refl(((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))) <=> ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))))),
% 4.31/4.48 inference(bind,[status(th)],[])).
% 4.31/4.48 tff(5365,plain,
% 4.31/4.48 (![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.31/4.48 inference(quant_intro,[status(thm)],[5364])).
% 4.31/4.48 tff(5366,plain,
% 4.31/4.48 (![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5367,plain,
% 4.31/4.48 (^[VarCurr: $i] : rewrite(((v918(VarCurr) | (~v19(VarCurr, bitIndex1))) | (~v702(VarCurr))) <=> ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1))))),
% 4.31/4.48 inference(bind,[status(th)],[])).
% 4.31/4.48 tff(5368,plain,
% 4.31/4.48 (![VarCurr: $i] : ((v918(VarCurr) | (~v19(VarCurr, bitIndex1))) | (~v702(VarCurr))) <=> ![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.31/4.48 inference(quant_intro,[status(thm)],[5367])).
% 4.31/4.48 tff(5369,axiom,(![VarCurr: $i] : ((v918(VarCurr) | (~v19(VarCurr, bitIndex1))) | (~v702(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9910')).
% 4.31/4.48 tff(5370,plain,
% 4.31/4.48 (![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5369, 5368])).
% 4.31/4.48 tff(5371,plain,
% 4.31/4.48 (![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5370, 5366])).
% 4.31/4.48 tff(5372,plain,(
% 4.31/4.48 ![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.31/4.48 inference(skolemize,[status(sab)],[5371])).
% 4.31/4.48 tff(5373,plain,
% 4.31/4.48 (![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5372, 5365])).
% 4.31/4.48 tff(5374,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v918(constB18) | (~v19(constB18, bitIndex1)) | (~v702(constB18)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB18) | (~v19(constB18, bitIndex1)) | (~v702(constB18)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5375,plain,
% 4.31/4.48 (((~v702(constB18)) | v918(constB18) | (~v19(constB18, bitIndex1))) <=> (v918(constB18) | (~v19(constB18, bitIndex1)) | (~v702(constB18)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5376,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB18)) | v918(constB18) | (~v19(constB18, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v918(constB18) | (~v19(constB18, bitIndex1)) | (~v702(constB18))))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5375])).
% 4.31/4.48 tff(5377,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB18)) | v918(constB18) | (~v19(constB18, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB18) | (~v19(constB18, bitIndex1)) | (~v702(constB18)))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5376, 5374])).
% 4.31/4.48 tff(5378,plain,
% 4.31/4.48 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB18)) | v918(constB18) | (~v19(constB18, bitIndex1)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5379,plain,
% 4.31/4.48 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB18) | (~v19(constB18, bitIndex1)) | (~v702(constB18))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5378, 5377])).
% 4.31/4.48 tff(5380,plain,
% 4.31/4.48 (v918(constB18) | (~v702(constB18))),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5379, 5373, 4796])).
% 4.31/4.48 tff(5381,plain,
% 4.31/4.48 (~v702(constB18)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5380, 5363])).
% 4.31/4.48 tff(5382,plain,
% 4.31/4.48 (^[VarCurr: $i] : refl((v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))) <=> (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))))),
% 4.31/4.48 inference(bind,[status(th)],[])).
% 4.31/4.48 tff(5383,plain,
% 4.31/4.48 (![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.31/4.48 inference(quant_intro,[status(thm)],[5382])).
% 4.31/4.48 tff(5384,plain,
% 4.31/4.48 (![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))) <=> ![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5385,plain,
% 4.31/4.48 (^[VarCurr: $i] : rewrite(((v911(VarCurr) | (~v19(VarCurr, bitIndex0))) | v702(VarCurr)) <=> (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0))))),
% 4.31/4.48 inference(bind,[status(th)],[])).
% 4.31/4.48 tff(5386,plain,
% 4.31/4.48 (![VarCurr: $i] : ((v911(VarCurr) | (~v19(VarCurr, bitIndex0))) | v702(VarCurr)) <=> ![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.31/4.48 inference(quant_intro,[status(thm)],[5385])).
% 4.31/4.48 tff(5387,axiom,(![VarCurr: $i] : ((v911(VarCurr) | (~v19(VarCurr, bitIndex0))) | v702(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u9925')).
% 4.31/4.48 tff(5388,plain,
% 4.31/4.48 (![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5387, 5386])).
% 4.31/4.48 tff(5389,plain,
% 4.31/4.48 (![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5388, 5384])).
% 4.31/4.48 tff(5390,plain,(
% 4.31/4.48 ![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.31/4.48 inference(skolemize,[status(sab)],[5389])).
% 4.31/4.48 tff(5391,plain,
% 4.31/4.48 (![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5390, 5383])).
% 4.31/4.48 tff(5392,plain,
% 4.31/4.48 (((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB18) | v911(constB18) | (~v19(constB18, bitIndex0)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB18) | v911(constB18) | (~v19(constB18, bitIndex0)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5393,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB18) | v911(constB18) | (~v19(constB18, bitIndex0)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5394,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB18) | v911(constB18) | (~v19(constB18, bitIndex0))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5393, 5392])).
% 4.31/4.48 tff(5395,plain,
% 4.31/4.48 (v702(constB18) | v911(constB18)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5394, 5391, 2746])).
% 4.31/4.48 tff(5396,plain,
% 4.31/4.48 ($false),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5395, 5381, 5359])).
% 4.31/4.48 tff(5397,plain,(v6(constB18, bitIndex0) | (~v19(constB18, bitIndex0)) | (~v19(constB18, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.48 tff(5398,plain,
% 4.31/4.48 (v6(constB18, bitIndex0)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5397, 5234, 5302])).
% 4.31/4.48 tff(5399,plain,
% 4.31/4.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v925(constB18) | (~v6(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v925(constB18) | (~v6(constB18, bitIndex0)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5400,plain,
% 4.31/4.48 (((~nextState(constB17, constB18)) | v6(constB17, bitIndex0) | v925(constB18) | (~v6(constB18, bitIndex0))) <=> (v6(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v925(constB18) | (~v6(constB18, bitIndex0)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5401,plain,
% 4.31/4.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v6(constB17, bitIndex0) | v925(constB18) | (~v6(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v925(constB18) | (~v6(constB18, bitIndex0))))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5400])).
% 4.31/4.48 tff(5402,plain,
% 4.31/4.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v6(constB17, bitIndex0) | v925(constB18) | (~v6(constB18, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v925(constB18) | (~v6(constB18, bitIndex0)))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5401, 5399])).
% 4.31/4.48 tff(5403,plain,
% 4.31/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB17, constB18)) | v6(constB17, bitIndex0) | v925(constB18) | (~v6(constB18, bitIndex0)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5404,plain,
% 4.31/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB17, bitIndex0) | (~nextState(constB17, constB18)) | v925(constB18) | (~v6(constB18, bitIndex0))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5403, 5402])).
% 4.31/4.48 tff(5405,plain,
% 4.31/4.48 (v6(constB17, bitIndex0) | v925(constB18) | (~v6(constB18, bitIndex0))),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5404, 2219, 2630])).
% 4.31/4.48 tff(5406,plain,
% 4.31/4.48 (v6(constB17, bitIndex0) | (~v6(constB18, bitIndex0))),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5405, 3207])).
% 4.31/4.48 tff(5407,plain,
% 4.31/4.48 (v6(constB17, bitIndex0)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5406, 5398])).
% 4.31/4.48 tff(5408,plain,
% 4.31/4.48 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB17, bitIndex0)) | v935(constB17) | (~v925(constB17)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB17, bitIndex0)) | v935(constB17) | (~v925(constB17)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5409,plain,
% 4.31/4.48 (((~v6(constB17, bitIndex0)) | (~v925(constB17)) | v935(constB17)) <=> ((~v6(constB17, bitIndex0)) | v935(constB17) | (~v925(constB17)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5410,plain,
% 4.31/4.48 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB17, bitIndex0)) | (~v925(constB17)) | v935(constB17))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB17, bitIndex0)) | v935(constB17) | (~v925(constB17))))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5409])).
% 4.31/4.48 tff(5411,plain,
% 4.31/4.48 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB17, bitIndex0)) | (~v925(constB17)) | v935(constB17))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB17, bitIndex0)) | v935(constB17) | (~v925(constB17)))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5410, 5408])).
% 4.31/4.48 tff(5412,plain,
% 4.31/4.48 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB17, bitIndex0)) | (~v925(constB17)) | v935(constB17))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5413,plain,
% 4.31/4.48 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB17, bitIndex0)) | v935(constB17) | (~v925(constB17))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5412, 5411])).
% 4.31/4.48 tff(5414,plain,
% 4.31/4.48 ((~v6(constB17, bitIndex0)) | v935(constB17)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5413, 4716, 3187])).
% 4.31/4.48 tff(5415,plain,
% 4.31/4.48 (v935(constB17)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5414, 5407])).
% 4.31/4.48 tff(5416,plain,
% 4.31/4.48 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB16, constB17)) | v933(constB16) | (~v935(constB17)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB16, constB17)) | v933(constB16) | (~v935(constB17)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5417,plain,
% 4.31/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB16, constB17)) | v933(constB16) | (~v935(constB17)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5418,plain,
% 4.31/4.48 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB16, constB17)) | v933(constB16) | (~v935(constB17))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5417, 5416])).
% 4.31/4.48 tff(5419,plain,
% 4.31/4.48 (v933(constB16) | (~v935(constB17))),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5418, 4734, 2620])).
% 4.31/4.48 tff(5420,plain,
% 4.31/4.48 (v933(constB16)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5419, 5415])).
% 4.31/4.48 tff(5421,plain,
% 4.31/4.48 (v16(constB16)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5351, 1913, 5339])).
% 4.31/4.48 tff(5422,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex0))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5423,plain,
% 4.31/4.48 (((~v16(constB16)) | v19(constB16, bitIndex0) | (~v933(constB16))) <=> ((~v933(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex0))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5424,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB16)) | v19(constB16, bitIndex0) | (~v933(constB16)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex0)))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5423])).
% 4.31/4.48 tff(5425,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB16)) | v19(constB16, bitIndex0) | (~v933(constB16)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex0))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5424, 5422])).
% 4.31/4.48 tff(5426,plain,
% 4.31/4.48 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB16)) | v19(constB16, bitIndex0) | (~v933(constB16)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5427,plain,
% 4.31/4.48 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB16)) | (~v16(constB16)) | v19(constB16, bitIndex0)),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5426, 5425])).
% 4.31/4.48 tff(5428,plain,
% 4.31/4.48 ((~v933(constB16)) | v19(constB16, bitIndex0)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5427, 4749, 5421])).
% 4.31/4.48 tff(5429,plain,
% 4.31/4.48 (v19(constB16, bitIndex0)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5428, 5420])).
% 4.31/4.48 tff(5430,plain,
% 4.31/4.48 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB12, bitIndex0) | (~v918(constB12)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB12, bitIndex0) | (~v918(constB12)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5431,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | (v6(constB12, bitIndex0) | (~v918(constB12)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5432,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v918(VarCurr)))) | v6(constB12, bitIndex0) | (~v918(constB12))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5431, 5430])).
% 4.31/4.48 tff(5433,plain,
% 4.31/4.48 (~v918(constB12)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5432, 645, 5186])).
% 4.31/4.48 tff(5434,plain,
% 4.31/4.48 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB12, bitIndex0) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB12, bitIndex0) | (~v911(constB12)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5435,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB12, bitIndex0) | (~v911(constB12)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5436,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB12, bitIndex0) | (~v911(constB12))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5435, 5434])).
% 4.31/4.48 tff(5437,plain,
% 4.31/4.48 (~v911(constB12)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5436, 2097, 5186])).
% 4.31/4.48 tff(5438,plain,
% 4.31/4.48 (v6(constB16, bitIndex1) | v911(constB16)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5088, 2111, 4316])).
% 4.31/4.48 tff(5439,plain,
% 4.31/4.48 (v6(constB16, bitIndex1)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5438, 2912])).
% 4.31/4.48 tff(5440,plain,
% 4.31/4.48 (v6(constB15, bitIndex1)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5069, 5439])).
% 4.31/4.48 tff(5441,plain,
% 4.31/4.48 (v949(constB15)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5060, 5440])).
% 4.31/4.48 tff(5442,plain,
% 4.31/4.48 (v947(constB14)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5052, 5441])).
% 4.31/4.48 tff(5443,plain,
% 4.31/4.48 (v16(constB14)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5001, 1913, 5442])).
% 4.31/4.48 tff(5444,plain,
% 4.31/4.48 (v19(constB14, bitIndex1)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5008, 4063, 5442, 5443])).
% 4.31/4.48 tff(5445,plain,
% 4.31/4.48 (((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB16) | v911(constB16) | (~v19(constB16, bitIndex0)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB16) | v911(constB16) | (~v19(constB16, bitIndex0)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5446,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB16) | v911(constB16) | (~v19(constB16, bitIndex0)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5447,plain,
% 4.31/4.48 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB16) | v911(constB16) | (~v19(constB16, bitIndex0))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5446, 5445])).
% 4.31/4.48 tff(5448,plain,
% 4.31/4.48 (v702(constB16) | v911(constB16)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5447, 5391, 4316])).
% 4.31/4.48 tff(5449,plain,
% 4.31/4.48 (v702(constB16)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5448, 2912])).
% 4.31/4.48 tff(5450,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v918(constB16) | (~v19(constB16, bitIndex1)) | (~v702(constB16)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB16) | (~v19(constB16, bitIndex1)) | (~v702(constB16)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5451,plain,
% 4.31/4.48 (((~v702(constB16)) | v918(constB16) | (~v19(constB16, bitIndex1))) <=> (v918(constB16) | (~v19(constB16, bitIndex1)) | (~v702(constB16)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5452,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB16)) | v918(constB16) | (~v19(constB16, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v918(constB16) | (~v19(constB16, bitIndex1)) | (~v702(constB16))))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5451])).
% 4.31/4.48 tff(5453,plain,
% 4.31/4.48 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB16)) | v918(constB16) | (~v19(constB16, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB16) | (~v19(constB16, bitIndex1)) | (~v702(constB16)))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5452, 5450])).
% 4.31/4.48 tff(5454,plain,
% 4.31/4.48 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB16)) | v918(constB16) | (~v19(constB16, bitIndex1)))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5455,plain,
% 4.31/4.48 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB16) | (~v19(constB16, bitIndex1)) | (~v702(constB16))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5454, 5453])).
% 4.31/4.48 tff(5456,plain,
% 4.31/4.48 (v918(constB16) | (~v702(constB16))),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5455, 5373, 4808])).
% 4.31/4.48 tff(5457,plain,
% 4.31/4.48 (v918(constB16)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5456, 5449])).
% 4.31/4.48 tff(5458,plain,
% 4.31/4.48 (v6(constB16, bitIndex0)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5074, 645, 5457])).
% 4.31/4.48 tff(5459,plain,
% 4.31/4.48 (v6(constB15, bitIndex0)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5102, 5458])).
% 4.31/4.48 tff(5460,plain,
% 4.31/4.48 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB15, bitIndex0)) | v935(constB15) | (~v925(constB15)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB15, bitIndex0)) | v935(constB15) | (~v925(constB15)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5461,plain,
% 4.31/4.48 (((~v6(constB15, bitIndex0)) | (~v925(constB15)) | v935(constB15)) <=> ((~v6(constB15, bitIndex0)) | v935(constB15) | (~v925(constB15)))),
% 4.31/4.48 inference(rewrite,[status(thm)],[])).
% 4.31/4.48 tff(5462,plain,
% 4.31/4.48 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB15, bitIndex0)) | (~v925(constB15)) | v935(constB15))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB15, bitIndex0)) | v935(constB15) | (~v925(constB15))))),
% 4.31/4.48 inference(monotonicity,[status(thm)],[5461])).
% 4.31/4.48 tff(5463,plain,
% 4.31/4.48 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB15, bitIndex0)) | (~v925(constB15)) | v935(constB15))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB15, bitIndex0)) | v935(constB15) | (~v925(constB15)))),
% 4.31/4.48 inference(transitivity,[status(thm)],[5462, 5460])).
% 4.31/4.48 tff(5464,plain,
% 4.31/4.48 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB15, bitIndex0)) | (~v925(constB15)) | v935(constB15))),
% 4.31/4.48 inference(quant_inst,[status(thm)],[])).
% 4.31/4.48 tff(5465,plain,
% 4.31/4.48 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB15, bitIndex0)) | v935(constB15) | (~v925(constB15))),
% 4.31/4.48 inference(modus_ponens,[status(thm)],[5464, 5463])).
% 4.31/4.48 tff(5466,plain,
% 4.31/4.48 ((~v6(constB15, bitIndex0)) | v935(constB15)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5465, 4716, 2968])).
% 4.31/4.48 tff(5467,plain,
% 4.31/4.48 (v935(constB15)),
% 4.31/4.48 inference(unit_resolution,[status(thm)],[5466, 5459])).
% 4.31/4.49 tff(5468,plain,
% 4.31/4.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB14, constB15)) | v933(constB14) | (~v935(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB14, constB15)) | v933(constB14) | (~v935(constB15)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5469,plain,
% 4.31/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB14, constB15)) | v933(constB14) | (~v935(constB15)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5470,plain,
% 4.31/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB14, constB15)) | v933(constB14) | (~v935(constB15))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5469, 5468])).
% 4.31/4.49 tff(5471,plain,
% 4.31/4.49 (v933(constB14) | (~v935(constB15))),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5470, 4734, 2600])).
% 4.31/4.49 tff(5472,plain,
% 4.31/4.49 (v933(constB14)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5471, 5467])).
% 4.31/4.49 tff(5473,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex0))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5474,plain,
% 4.31/4.49 (((~v16(constB14)) | v19(constB14, bitIndex0) | (~v933(constB14))) <=> ((~v933(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex0))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5475,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB14)) | v19(constB14, bitIndex0) | (~v933(constB14)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex0)))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5474])).
% 4.31/4.49 tff(5476,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB14)) | v19(constB14, bitIndex0) | (~v933(constB14)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex0))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5475, 5473])).
% 4.31/4.49 tff(5477,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB14)) | v19(constB14, bitIndex0) | (~v933(constB14)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5478,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB14)) | (~v16(constB14)) | v19(constB14, bitIndex0)),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5477, 5476])).
% 4.31/4.49 tff(5479,plain,
% 4.31/4.49 (v19(constB14, bitIndex0)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5478, 4749, 5472, 5443])).
% 4.31/4.49 tff(5480,assumption,(~v6(constB14, bitIndex1)), introduced(assumption)).
% 4.31/4.49 tff(5481,assumption,(v19(constB14, bitIndex0)), introduced(assumption)).
% 4.31/4.49 tff(5482,plain,
% 4.31/4.49 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB14, bitIndex1) | (~v19(constB14, bitIndex0)) | v911(constB14))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB14, bitIndex1) | (~v19(constB14, bitIndex0)) | v911(constB14))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5483,plain,
% 4.31/4.49 ((v6(constB14, bitIndex1) | v911(constB14) | (~v19(constB14, bitIndex0))) <=> (v6(constB14, bitIndex1) | (~v19(constB14, bitIndex0)) | v911(constB14))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5484,plain,
% 4.31/4.49 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB14, bitIndex1) | v911(constB14) | (~v19(constB14, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB14, bitIndex1) | (~v19(constB14, bitIndex0)) | v911(constB14)))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5483])).
% 4.31/4.49 tff(5485,plain,
% 4.31/4.49 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB14, bitIndex1) | v911(constB14) | (~v19(constB14, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB14, bitIndex1) | (~v19(constB14, bitIndex0)) | v911(constB14))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5484, 5482])).
% 4.31/4.49 tff(5486,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB14, bitIndex1) | v911(constB14) | (~v19(constB14, bitIndex0)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5487,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB14, bitIndex1) | (~v19(constB14, bitIndex0)) | v911(constB14)),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5486, 5485])).
% 4.31/4.49 tff(5488,plain,
% 4.31/4.49 (v6(constB14, bitIndex1) | v911(constB14)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5487, 2111, 5481])).
% 4.31/4.49 tff(5489,plain,
% 4.31/4.49 (v911(constB14)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5488, 5480])).
% 4.31/4.49 tff(5490,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex2)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5491,plain,
% 4.31/4.49 (((~v25(constB14, bitIndex2)) | (~v911(constB14))) <=> ((~v911(constB14)) | (~v25(constB14, bitIndex2)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5492,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex2)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex2))))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5491])).
% 4.31/4.49 tff(5493,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex2)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex2)))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5492, 5490])).
% 4.31/4.49 tff(5494,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex2)) | (~v911(constB14)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5495,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex2))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5494, 5493])).
% 4.31/4.49 tff(5496,plain,
% 4.31/4.49 (~v25(constB14, bitIndex2)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5495, 5291, 5489])).
% 4.31/4.49 tff(5497,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex0)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5498,plain,
% 4.31/4.49 (((~v25(constB14, bitIndex0)) | (~v911(constB14))) <=> ((~v911(constB14)) | (~v25(constB14, bitIndex0)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5499,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex0)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex0))))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5498])).
% 4.31/4.49 tff(5500,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex0)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex0)))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5499, 5497])).
% 4.31/4.49 tff(5501,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex0)) | (~v911(constB14)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5502,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex0))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5501, 5500])).
% 4.31/4.49 tff(5503,plain,
% 4.31/4.49 (~v25(constB14, bitIndex0)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5502, 5269, 5489])).
% 4.31/4.49 tff(5504,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex1)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5505,plain,
% 4.31/4.49 (((~v25(constB14, bitIndex1)) | (~v911(constB14))) <=> ((~v911(constB14)) | (~v25(constB14, bitIndex1)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5506,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex1)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex1))))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5505])).
% 4.31/4.49 tff(5507,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex1)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex1)))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5506, 5504])).
% 4.31/4.49 tff(5508,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex1)) | (~v911(constB14)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5509,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex1))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5508, 5507])).
% 4.31/4.49 tff(5510,plain,
% 4.31/4.49 (~v25(constB14, bitIndex1)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5509, 5247, 5489])).
% 4.31/4.49 tff(5511,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex4)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5512,plain,
% 4.31/4.49 (((~v25(constB14, bitIndex4)) | (~v911(constB14))) <=> ((~v911(constB14)) | (~v25(constB14, bitIndex4)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5513,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex4)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex4))))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5512])).
% 4.31/4.49 tff(5514,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex4)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex4)))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5513, 5511])).
% 4.31/4.49 tff(5515,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex4)) | (~v911(constB14)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5516,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex4))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5515, 5514])).
% 4.31/4.49 tff(5517,plain,
% 4.31/4.49 (~v25(constB14, bitIndex4)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5516, 5280, 5489])).
% 4.31/4.49 tff(5518,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex3)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5519,plain,
% 4.31/4.49 (((~v25(constB14, bitIndex3)) | (~v911(constB14))) <=> ((~v911(constB14)) | (~v25(constB14, bitIndex3)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5520,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex3)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB14)) | (~v25(constB14, bitIndex3))))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5519])).
% 4.31/4.49 tff(5521,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex3)) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex3)))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5520, 5518])).
% 4.31/4.49 tff(5522,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB14, bitIndex3)) | (~v911(constB14)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5523,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB14)) | (~v25(constB14, bitIndex3))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5522, 5521])).
% 4.31/4.49 tff(5524,plain,
% 4.31/4.49 (~v25(constB14, bitIndex3)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5523, 5258, 5489])).
% 4.31/4.49 tff(5525,assumption,(v19(constB14, bitIndex1)), introduced(assumption)).
% 4.31/4.49 tff(5526,plain,
% 4.31/4.49 (v6(constB14, bitIndex1) | v918(constB14)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5045, 747, 5525])).
% 4.31/4.49 tff(5527,plain,
% 4.31/4.49 (v918(constB14)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5526, 5480])).
% 4.31/4.49 tff(5528,plain,
% 4.31/4.49 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB14)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB14)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5529,plain,
% 4.31/4.49 ((v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4) | (~v918(constB14))) <=> ((~v918(constB14)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5530,plain,
% 4.31/4.49 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4) | (~v918(constB14)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB14)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4)))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5529])).
% 4.31/4.49 tff(5531,plain,
% 4.31/4.49 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4) | (~v918(constB14)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB14)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5530, 5528])).
% 4.31/4.49 tff(5532,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4) | (~v918(constB14)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5533,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB14)) | v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4)),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5532, 5531])).
% 4.31/4.49 tff(5534,plain,
% 4.31/4.49 (v25(constB14, bitIndex1) | v25(constB14, bitIndex0) | v25(constB14, bitIndex2) | v25(constB14, bitIndex3) | v25(constB14, bitIndex4)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5533, 4630, 5527])).
% 4.31/4.49 tff(5535,plain,
% 4.31/4.49 ($false),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5534, 5524, 5517, 5510, 5503, 5496])).
% 4.31/4.49 tff(5536,plain,(v6(constB14, bitIndex1) | (~v19(constB14, bitIndex0)) | (~v19(constB14, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.49 tff(5537,plain,
% 4.31/4.49 (v6(constB14, bitIndex1)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5536, 5479, 5444])).
% 4.31/4.49 tff(5538,plain,
% 4.31/4.49 (v6(constB13, bitIndex1)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5038, 5537])).
% 4.31/4.49 tff(5539,plain,
% 4.31/4.49 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB13, bitIndex1)) | v949(constB13) | (~v941(constB13)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB13, bitIndex1)) | v949(constB13) | (~v941(constB13)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5540,plain,
% 4.31/4.49 (((~v6(constB13, bitIndex1)) | (~v941(constB13)) | v949(constB13)) <=> ((~v6(constB13, bitIndex1)) | v949(constB13) | (~v941(constB13)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5541,plain,
% 4.31/4.49 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB13, bitIndex1)) | (~v941(constB13)) | v949(constB13))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB13, bitIndex1)) | v949(constB13) | (~v941(constB13))))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5540])).
% 4.31/4.49 tff(5542,plain,
% 4.31/4.49 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB13, bitIndex1)) | (~v941(constB13)) | v949(constB13))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB13, bitIndex1)) | v949(constB13) | (~v941(constB13)))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5541, 5539])).
% 4.31/4.49 tff(5543,plain,
% 4.31/4.49 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB13, bitIndex1)) | (~v941(constB13)) | v949(constB13))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5544,plain,
% 4.31/4.49 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB13, bitIndex1)) | v949(constB13) | (~v941(constB13))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5543, 5542])).
% 4.31/4.49 tff(5545,plain,
% 4.31/4.49 ((~v6(constB13, bitIndex1)) | v949(constB13)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5544, 4437, 2425])).
% 4.31/4.49 tff(5546,plain,
% 4.31/4.49 (v949(constB13)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5545, 5538])).
% 4.31/4.49 tff(5547,plain,
% 4.31/4.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB12, constB13)) | v947(constB12) | (~v949(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB12, constB13)) | v947(constB12) | (~v949(constB13)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5548,plain,
% 4.31/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB12, constB13)) | v947(constB12) | (~v949(constB13)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5549,plain,
% 4.31/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB12, constB13)) | v947(constB12) | (~v949(constB13))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5548, 5547])).
% 4.31/4.49 tff(5550,plain,
% 4.31/4.49 (v947(constB12) | (~v949(constB13))),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5549, 4422, 2359])).
% 4.31/4.49 tff(5551,plain,
% 4.31/4.49 (v947(constB12)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5550, 5546])).
% 4.31/4.49 tff(5552,plain,
% 4.31/4.49 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB12) | (~v947(constB12)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB12) | (~v947(constB12)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5553,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB12) | (~v947(constB12)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5554,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB12) | (~v947(constB12))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5553, 5552])).
% 4.31/4.49 tff(5555,plain,
% 4.31/4.49 (v16(constB12)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5554, 1913, 5551])).
% 4.31/4.49 tff(5556,assumption,(~v6(constB14, bitIndex0)), introduced(assumption)).
% 4.31/4.49 tff(5557,plain,
% 4.31/4.49 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB14, bitIndex0) | (~v911(constB14)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB14, bitIndex0) | (~v911(constB14)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5558,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB14, bitIndex0) | (~v911(constB14)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5559,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB14, bitIndex0) | (~v911(constB14))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5558, 5557])).
% 4.31/4.49 tff(5560,plain,
% 4.31/4.49 (~v911(constB14)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5559, 2097, 5556])).
% 4.31/4.49 tff(5561,plain,
% 4.31/4.49 (~v918(constB14)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5028, 645, 5556])).
% 4.31/4.49 tff(5562,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v19(constB14, bitIndex1)) | v918(constB14) | (~v702(constB14)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB14, bitIndex1)) | v918(constB14) | (~v702(constB14)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5563,plain,
% 4.31/4.49 (((~v702(constB14)) | v918(constB14) | (~v19(constB14, bitIndex1))) <=> ((~v19(constB14, bitIndex1)) | v918(constB14) | (~v702(constB14)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5564,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB14)) | v918(constB14) | (~v19(constB14, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v19(constB14, bitIndex1)) | v918(constB14) | (~v702(constB14))))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5563])).
% 4.31/4.49 tff(5565,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB14)) | v918(constB14) | (~v19(constB14, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB14, bitIndex1)) | v918(constB14) | (~v702(constB14)))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5564, 5562])).
% 4.31/4.49 tff(5566,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB14)) | v918(constB14) | (~v19(constB14, bitIndex1)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5567,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB14, bitIndex1)) | v918(constB14) | (~v702(constB14))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5566, 5565])).
% 4.31/4.49 tff(5568,plain,
% 4.31/4.49 (v918(constB14) | (~v702(constB14))),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5567, 5373, 5525])).
% 4.31/4.49 tff(5569,plain,
% 4.31/4.49 (~v702(constB14)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5568, 5561])).
% 4.31/4.49 tff(5570,plain,
% 4.31/4.49 (((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB14) | v911(constB14) | (~v19(constB14, bitIndex0)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB14) | v911(constB14) | (~v19(constB14, bitIndex0)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5571,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB14) | v911(constB14) | (~v19(constB14, bitIndex0)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5572,plain,
% 4.31/4.49 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB14) | v911(constB14) | (~v19(constB14, bitIndex0))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5571, 5570])).
% 4.31/4.49 tff(5573,plain,
% 4.31/4.49 (v702(constB14) | v911(constB14)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5572, 5391, 5481])).
% 4.31/4.49 tff(5574,plain,
% 4.31/4.49 ($false),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5573, 5569, 5560])).
% 4.31/4.49 tff(5575,plain,(v6(constB14, bitIndex0) | (~v19(constB14, bitIndex0)) | (~v19(constB14, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.49 tff(5576,plain,
% 4.31/4.49 (v6(constB14, bitIndex0)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5575, 5479, 5444])).
% 4.31/4.49 tff(5577,plain,
% 4.31/4.49 (v6(constB13, bitIndex0)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5024, 5576])).
% 4.31/4.49 tff(5578,plain,
% 4.31/4.49 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB13, bitIndex0)) | v935(constB13) | (~v925(constB13)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB13, bitIndex0)) | v935(constB13) | (~v925(constB13)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5579,plain,
% 4.31/4.49 (((~v6(constB13, bitIndex0)) | (~v925(constB13)) | v935(constB13)) <=> ((~v6(constB13, bitIndex0)) | v935(constB13) | (~v925(constB13)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5580,plain,
% 4.31/4.49 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB13, bitIndex0)) | (~v925(constB13)) | v935(constB13))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB13, bitIndex0)) | v935(constB13) | (~v925(constB13))))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5579])).
% 4.31/4.49 tff(5581,plain,
% 4.31/4.49 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB13, bitIndex0)) | (~v925(constB13)) | v935(constB13))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB13, bitIndex0)) | v935(constB13) | (~v925(constB13)))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5580, 5578])).
% 4.31/4.49 tff(5582,plain,
% 4.31/4.49 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB13, bitIndex0)) | (~v925(constB13)) | v935(constB13))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5583,plain,
% 4.31/4.49 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB13, bitIndex0)) | v935(constB13) | (~v925(constB13))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5582, 5581])).
% 4.31/4.49 tff(5584,plain,
% 4.31/4.49 ((~v6(constB13, bitIndex0)) | v935(constB13)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5583, 4716, 2485])).
% 4.31/4.49 tff(5585,plain,
% 4.31/4.49 (v935(constB13)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5584, 5577])).
% 4.31/4.49 tff(5586,plain,
% 4.31/4.49 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB12, constB13)) | v933(constB12) | (~v935(constB13)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB12, constB13)) | v933(constB12) | (~v935(constB13)))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5587,plain,
% 4.31/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB12, constB13)) | v933(constB12) | (~v935(constB13)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5588,plain,
% 4.31/4.49 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB12, constB13)) | v933(constB12) | (~v935(constB13))),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5587, 5586])).
% 4.31/4.49 tff(5589,plain,
% 4.31/4.49 (v933(constB12) | (~v935(constB13))),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5588, 4734, 2359])).
% 4.31/4.49 tff(5590,plain,
% 4.31/4.49 (v933(constB12)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5589, 5585])).
% 4.31/4.49 tff(5591,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex0))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5592,plain,
% 4.31/4.49 (((~v16(constB12)) | v19(constB12, bitIndex0) | (~v933(constB12))) <=> ((~v933(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex0))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5593,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB12)) | v19(constB12, bitIndex0) | (~v933(constB12)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex0)))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5592])).
% 4.31/4.49 tff(5594,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB12)) | v19(constB12, bitIndex0) | (~v933(constB12)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex0))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5593, 5591])).
% 4.31/4.49 tff(5595,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB12)) | v19(constB12, bitIndex0) | (~v933(constB12)))),
% 4.31/4.49 inference(quant_inst,[status(thm)],[])).
% 4.31/4.49 tff(5596,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex0)),
% 4.31/4.49 inference(modus_ponens,[status(thm)],[5595, 5594])).
% 4.31/4.49 tff(5597,plain,
% 4.31/4.49 ((~v16(constB12)) | v19(constB12, bitIndex0)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5596, 4749, 5590])).
% 4.31/4.49 tff(5598,plain,
% 4.31/4.49 (v19(constB12, bitIndex0)),
% 4.31/4.49 inference(unit_resolution,[status(thm)],[5597, 5555])).
% 4.31/4.49 tff(5599,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex1))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5600,plain,
% 4.31/4.49 (((~v16(constB12)) | v19(constB12, bitIndex1) | (~v947(constB12))) <=> ((~v947(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex1))),
% 4.31/4.49 inference(rewrite,[status(thm)],[])).
% 4.31/4.49 tff(5601,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB12)) | v19(constB12, bitIndex1) | (~v947(constB12)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex1)))),
% 4.31/4.49 inference(monotonicity,[status(thm)],[5600])).
% 4.31/4.49 tff(5602,plain,
% 4.31/4.49 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB12)) | v19(constB12, bitIndex1) | (~v947(constB12)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex1))),
% 4.31/4.49 inference(transitivity,[status(thm)],[5601, 5599])).
% 4.31/4.49 tff(5603,plain,
% 4.31/4.49 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB12)) | v19(constB12, bitIndex1) | (~v947(constB12)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5604,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB12)) | (~v16(constB12)) | v19(constB12, bitIndex1)),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5603, 5602])).
% 4.31/4.50 tff(5605,plain,
% 4.31/4.50 (v19(constB12, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5604, 4063, 5551, 5555])).
% 4.31/4.50 tff(5606,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v19(constB12, bitIndex1)) | v918(constB12) | (~v702(constB12)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB12, bitIndex1)) | v918(constB12) | (~v702(constB12)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5607,plain,
% 4.31/4.50 (((~v702(constB12)) | v918(constB12) | (~v19(constB12, bitIndex1))) <=> ((~v19(constB12, bitIndex1)) | v918(constB12) | (~v702(constB12)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5608,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB12)) | v918(constB12) | (~v19(constB12, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v19(constB12, bitIndex1)) | v918(constB12) | (~v702(constB12))))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5607])).
% 4.31/4.50 tff(5609,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB12)) | v918(constB12) | (~v19(constB12, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB12, bitIndex1)) | v918(constB12) | (~v702(constB12)))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5608, 5606])).
% 4.31/4.50 tff(5610,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB12)) | v918(constB12) | (~v19(constB12, bitIndex1)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5611,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB12, bitIndex1)) | v918(constB12) | (~v702(constB12))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5610, 5609])).
% 4.31/4.50 tff(5612,plain,
% 4.31/4.50 ((~v19(constB12, bitIndex1)) | (~v702(constB12))),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5611, 5373, 2533])).
% 4.31/4.50 tff(5613,plain,
% 4.31/4.50 (~v702(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5612, 5605])).
% 4.31/4.50 tff(5614,plain,
% 4.31/4.50 (((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB12) | v911(constB12) | (~v19(constB12, bitIndex0)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB12) | v911(constB12) | (~v19(constB12, bitIndex0)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5615,plain,
% 4.31/4.50 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB12) | v911(constB12) | (~v19(constB12, bitIndex0)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5616,plain,
% 4.31/4.50 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB12) | v911(constB12) | (~v19(constB12, bitIndex0))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5615, 5614])).
% 4.31/4.50 tff(5617,plain,
% 4.31/4.50 (v702(constB12) | (~v19(constB12, bitIndex0))),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5616, 5391, 2574])).
% 4.31/4.50 tff(5618,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5617, 5613, 5598])).
% 4.31/4.50 tff(5619,plain,(v911(constB16) | v911(constB12) | v918(constB12) | (~v19(constB16, bitIndex1)) | (~v19(constB16, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5620,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5619, 5437, 5433, 4808, 4316, 2912])).
% 4.31/4.50 tff(5621,plain,(v6(constB12, bitIndex0) | (~v19(constB16, bitIndex1)) | (~v19(constB16, bitIndex0)) | v911(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5622,plain,
% 4.31/4.50 (v911(constB16)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5621, 5429, 5186, 5354])).
% 4.31/4.50 tff(5623,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex4)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5624,plain,
% 4.31/4.50 (((~v25(constB16, bitIndex4)) | (~v911(constB16))) <=> ((~v911(constB16)) | (~v25(constB16, bitIndex4)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5625,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex4)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex4))))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5624])).
% 4.31/4.50 tff(5626,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex4)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex4)))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5625, 5623])).
% 4.31/4.50 tff(5627,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex4)) | (~v911(constB16)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5628,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex4))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5627, 5626])).
% 4.31/4.50 tff(5629,plain,
% 4.31/4.50 (~v25(constB16, bitIndex4)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5628, 5280, 5622])).
% 4.31/4.50 tff(5630,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex3)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5631,plain,
% 4.31/4.50 (((~v25(constB16, bitIndex3)) | (~v911(constB16))) <=> ((~v911(constB16)) | (~v25(constB16, bitIndex3)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5632,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex3)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex3))))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5631])).
% 4.31/4.50 tff(5633,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex3)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex3)))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5632, 5630])).
% 4.31/4.50 tff(5634,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex3)) | (~v911(constB16)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5635,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex3))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5634, 5633])).
% 4.31/4.50 tff(5636,plain,
% 4.31/4.50 (~v25(constB16, bitIndex3)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5635, 5258, 5622])).
% 4.31/4.50 tff(5637,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex2)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5638,plain,
% 4.31/4.50 (((~v25(constB16, bitIndex2)) | (~v911(constB16))) <=> ((~v911(constB16)) | (~v25(constB16, bitIndex2)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5639,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex2)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex2))))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5638])).
% 4.31/4.50 tff(5640,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex2)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex2)))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5639, 5637])).
% 4.31/4.50 tff(5641,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex2)) | (~v911(constB16)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5642,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex2))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5641, 5640])).
% 4.31/4.50 tff(5643,plain,
% 4.31/4.50 (~v25(constB16, bitIndex2)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5642, 5291, 5622])).
% 4.31/4.50 tff(5644,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex1)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5645,plain,
% 4.31/4.50 (((~v25(constB16, bitIndex1)) | (~v911(constB16))) <=> ((~v911(constB16)) | (~v25(constB16, bitIndex1)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5646,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex1)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex1))))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5645])).
% 4.31/4.50 tff(5647,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex1)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex1)))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5646, 5644])).
% 4.31/4.50 tff(5648,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex1)) | (~v911(constB16)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5649,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex1))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5648, 5647])).
% 4.31/4.50 tff(5650,plain,
% 4.31/4.50 (~v25(constB16, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5649, 5247, 5622])).
% 4.31/4.50 tff(5651,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex0)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5652,plain,
% 4.31/4.50 (((~v25(constB16, bitIndex0)) | (~v911(constB16))) <=> ((~v911(constB16)) | (~v25(constB16, bitIndex0)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5653,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex0)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB16)) | (~v25(constB16, bitIndex0))))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5652])).
% 4.31/4.50 tff(5654,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex0)) | (~v911(constB16)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex0)))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5653, 5651])).
% 4.31/4.50 tff(5655,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB16, bitIndex0)) | (~v911(constB16)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5656,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB16)) | (~v25(constB16, bitIndex0))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5655, 5654])).
% 4.31/4.50 tff(5657,plain,
% 4.31/4.50 (~v25(constB16, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5656, 5269, 5622])).
% 4.31/4.50 tff(5658,plain,
% 4.31/4.50 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB16)) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB16)) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5659,plain,
% 4.31/4.50 ((v25(constB16, bitIndex1) | v25(constB16, bitIndex0) | v25(constB16, bitIndex2) | v25(constB16, bitIndex3) | v25(constB16, bitIndex4) | (~v918(constB16))) <=> ((~v918(constB16)) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5660,plain,
% 4.31/4.50 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB16, bitIndex1) | v25(constB16, bitIndex0) | v25(constB16, bitIndex2) | v25(constB16, bitIndex3) | v25(constB16, bitIndex4) | (~v918(constB16)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB16)) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1)))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5659])).
% 4.31/4.50 tff(5661,plain,
% 4.31/4.50 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB16, bitIndex1) | v25(constB16, bitIndex0) | v25(constB16, bitIndex2) | v25(constB16, bitIndex3) | v25(constB16, bitIndex4) | (~v918(constB16)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB16)) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5660, 5658])).
% 4.31/4.50 tff(5662,plain,
% 4.31/4.50 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB16, bitIndex1) | v25(constB16, bitIndex0) | v25(constB16, bitIndex2) | v25(constB16, bitIndex3) | v25(constB16, bitIndex4) | (~v918(constB16)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5663,plain,
% 4.31/4.50 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB16)) | v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1)),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5662, 5661])).
% 4.31/4.50 tff(5664,plain,
% 4.31/4.50 (~v918(constB16)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5663, 4630, 5657, 5650, 5643, 5636, 5629])).
% 4.31/4.50 tff(5665,plain,
% 4.31/4.50 (v6(constB16, bitIndex1) | v918(constB16)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5079, 747, 5354])).
% 4.31/4.50 tff(5666,plain,
% 4.31/4.50 (v6(constB16, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5665, 5664])).
% 4.31/4.50 tff(5667,plain,
% 4.31/4.50 (v6(constB15, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5069, 5666])).
% 4.31/4.50 tff(5668,plain,
% 4.31/4.50 (v949(constB15)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5060, 5667])).
% 4.31/4.50 tff(5669,plain,
% 4.31/4.50 (v947(constB14)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5052, 5668])).
% 4.31/4.50 tff(5670,plain,
% 4.31/4.50 (v16(constB14)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5001, 1913, 5669])).
% 4.31/4.50 tff(5671,plain,
% 4.31/4.50 (v6(constB16, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5084, 2097, 5622])).
% 4.31/4.50 tff(5672,plain,
% 4.31/4.50 (v6(constB15, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5102, 5671])).
% 4.31/4.50 tff(5673,plain,
% 4.31/4.50 (v935(constB15)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5466, 5672])).
% 4.31/4.50 tff(5674,plain,
% 4.31/4.50 (v933(constB14)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5471, 5673])).
% 4.31/4.50 tff(5675,plain,
% 4.31/4.50 ((~v16(constB14)) | v19(constB14, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5478, 4749, 5674])).
% 4.31/4.50 tff(5676,plain,
% 4.31/4.50 (v19(constB14, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5675, 5670])).
% 4.31/4.50 tff(5677,plain,
% 4.31/4.50 (v19(constB14, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5008, 4063, 5669, 5670])).
% 4.31/4.50 tff(5678,plain,
% 4.31/4.50 (v6(constB14, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5536, 5677, 5676])).
% 4.31/4.50 tff(5679,plain,
% 4.31/4.50 (v6(constB13, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5038, 5678])).
% 4.31/4.50 tff(5680,plain,
% 4.31/4.50 (v949(constB13)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5545, 5679])).
% 4.31/4.50 tff(5681,plain,
% 4.31/4.50 (v947(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5550, 5680])).
% 4.31/4.50 tff(5682,plain,
% 4.31/4.50 (v16(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5554, 1913, 5681])).
% 4.31/4.50 tff(5683,plain,
% 4.31/4.50 (v19(constB12, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5604, 4063, 5681, 5682])).
% 4.31/4.50 tff(5684,plain,
% 4.31/4.50 (v6(constB14, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5575, 5676, 5677])).
% 4.31/4.50 tff(5685,plain,
% 4.31/4.50 (v6(constB13, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5024, 5684])).
% 4.31/4.50 tff(5686,plain,
% 4.31/4.50 (v935(constB13)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5584, 5685])).
% 4.31/4.50 tff(5687,plain,
% 4.31/4.50 (v933(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5589, 5686])).
% 4.31/4.50 tff(5688,plain,
% 4.31/4.50 (v19(constB12, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5596, 4749, 5687, 5682])).
% 4.31/4.50 tff(5689,assumption,(v19(constB12, bitIndex1)), introduced(assumption)).
% 4.31/4.50 tff(5690,plain,
% 4.31/4.50 (v918(constB12) | (~v702(constB12))),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5611, 5373, 5689])).
% 4.31/4.50 tff(5691,plain,
% 4.31/4.50 (~v702(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5690, 5433])).
% 4.31/4.50 tff(5692,plain,
% 4.31/4.50 (v702(constB12) | v911(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5616, 5391, 2500])).
% 4.31/4.50 tff(5693,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5692, 5691, 5437])).
% 4.31/4.50 tff(5694,plain,(v6(constB12, bitIndex0) | (~v19(constB12, bitIndex0)) | (~v19(constB12, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5695,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5694, 5688, 5683, 5186])).
% 4.31/4.50 tff(5696,plain,((~(constB19 = sK293_VarCurr)) | v6(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5697,plain,
% 4.31/4.50 (~(constB19 = sK293_VarCurr)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5696, 5186])).
% 4.31/4.50 tff(5698,plain,
% 4.31/4.50 (v6(constB16, bitIndex1)),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5182, 3838])).
% 4.31/4.50 tff(5699,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5076, 5698])).
% 4.31/4.50 tff(5700,plain,((~(constB16 = sK293_VarCurr)) | v6(constB16, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5701,plain,
% 4.31/4.50 (v6(constB16, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5700, 3826])).
% 4.31/4.50 tff(5702,plain,
% 4.31/4.50 (v6(constB15, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5069, 5701])).
% 4.31/4.50 tff(5703,plain,
% 4.31/4.50 (v949(constB15)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5060, 5702])).
% 4.31/4.50 tff(5704,plain,
% 4.31/4.50 (v947(constB14)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5052, 5703])).
% 4.31/4.50 tff(5705,plain,
% 4.31/4.50 (v16(constB14)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5001, 1913, 5704])).
% 4.31/4.50 tff(5706,plain,
% 4.31/4.50 (v6(constB16, bitIndex0)),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5213, 3828])).
% 4.31/4.50 tff(5707,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5071, 5706])).
% 4.31/4.50 tff(5708,plain,((~(constB16 = sK293_VarCurr)) | v6(constB16, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5709,plain,
% 4.31/4.50 (v6(constB16, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5708, 3826])).
% 4.31/4.50 tff(5710,plain,
% 4.31/4.50 (v6(constB15, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5102, 5709])).
% 4.31/4.50 tff(5711,plain,
% 4.31/4.50 (v935(constB15)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5466, 5710])).
% 4.31/4.50 tff(5712,plain,
% 4.31/4.50 (v933(constB14)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5471, 5711])).
% 4.31/4.50 tff(5713,plain,
% 4.31/4.50 (v19(constB14, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5478, 4749, 5712, 5705])).
% 4.31/4.50 tff(5714,plain,
% 4.31/4.50 (v19(constB14, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5008, 4063, 5704, 5705])).
% 4.31/4.50 tff(5715,plain,
% 4.31/4.50 (v6(constB14, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5536, 5714, 5713])).
% 4.31/4.50 tff(5716,plain,
% 4.31/4.50 (v6(constB13, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5038, 5715])).
% 4.31/4.50 tff(5717,plain,
% 4.31/4.50 (v949(constB13)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5545, 5716])).
% 4.31/4.50 tff(5718,plain,
% 4.31/4.50 (v947(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5550, 5717])).
% 4.31/4.50 tff(5719,plain,
% 4.31/4.50 (v16(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5554, 1913, 5718])).
% 4.31/4.50 tff(5720,plain,
% 4.31/4.50 (v19(constB12, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5604, 4063, 5718, 5719])).
% 4.31/4.50 tff(5721,plain,
% 4.31/4.50 (v6(constB14, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5575, 5714, 5713])).
% 4.31/4.50 tff(5722,plain,
% 4.31/4.50 (v6(constB13, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5024, 5721])).
% 4.31/4.50 tff(5723,plain,
% 4.31/4.50 (v935(constB13)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5584, 5722])).
% 4.31/4.50 tff(5724,plain,
% 4.31/4.50 (v933(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5589, 5723])).
% 4.31/4.50 tff(5725,plain,
% 4.31/4.50 ((~v16(constB12)) | v19(constB12, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5596, 4749, 5724])).
% 4.31/4.50 tff(5726,plain,
% 4.31/4.50 (v19(constB12, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5725, 5719])).
% 4.31/4.50 tff(5727,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5694, 5726, 5720, 5186])).
% 4.31/4.50 tff(5728,plain,((~(constB16 = sK293_VarCurr)) | v6(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5729,plain,
% 4.31/4.50 (~(constB16 = sK293_VarCurr)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5728, 5186])).
% 4.31/4.50 tff(5730,plain,
% 4.31/4.50 (v6(constB13, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5038, 5183])).
% 4.31/4.50 tff(5731,plain,
% 4.31/4.50 (v949(constB13)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5545, 5730])).
% 4.31/4.50 tff(5732,plain,
% 4.31/4.50 (v947(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5550, 5731])).
% 4.31/4.50 tff(5733,plain,
% 4.31/4.50 (v6(constB14, bitIndex0)),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5213, 2440])).
% 4.31/4.50 tff(5734,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5556, 5733])).
% 4.31/4.50 tff(5735,plain,((~(constB14 = sK293_VarCurr)) | v6(constB14, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5736,plain,
% 4.31/4.50 (v6(constB14, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5735, 1])).
% 4.31/4.50 tff(5737,plain,
% 4.31/4.50 (v6(constB13, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5024, 5736])).
% 4.31/4.50 tff(5738,plain,
% 4.31/4.50 (v935(constB13)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5584, 5737])).
% 4.31/4.50 tff(5739,plain,
% 4.31/4.50 (v933(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5589, 5738])).
% 4.31/4.50 tff(5740,plain,
% 4.31/4.50 ((~v933(constB12)) | (~v16(constB12))),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5596, 4749, 4335])).
% 4.31/4.50 tff(5741,plain,
% 4.31/4.50 (~v16(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5740, 5739])).
% 4.31/4.50 tff(5742,plain,
% 4.31/4.50 (~v947(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5554, 1913, 5741])).
% 4.31/4.50 tff(5743,plain,
% 4.31/4.50 (~v949(constB13)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5550, 5742])).
% 4.31/4.50 tff(5744,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5545, 5743, 5730])).
% 4.31/4.50 tff(5745,plain,((~(constB14 = sK293_VarCurr)) | v19(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5746,plain,
% 4.31/4.50 (v19(constB12, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5745, 1])).
% 4.31/4.50 tff(5747,plain,
% 4.31/4.50 (~v19(constB12, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5694, 5746, 5186])).
% 4.31/4.50 tff(5748,plain,
% 4.31/4.50 ((~v947(constB12)) | (~v16(constB12))),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5604, 4063, 5747])).
% 4.31/4.50 tff(5749,plain,
% 4.31/4.50 (~v16(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5748, 5732])).
% 4.31/4.50 tff(5750,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5554, 1913, 5732, 5749])).
% 4.31/4.50 tff(5751,plain,((~(constB14 = sK293_VarCurr)) | v6(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5752,plain,
% 4.31/4.50 (~(constB14 = sK293_VarCurr)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5751, 5186])).
% 4.31/4.50 tff(5753,plain,
% 4.31/4.50 (v6(constB13, bitIndex1)),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5182, 3894])).
% 4.31/4.50 tff(5754,plain,
% 4.31/4.50 (v949(constB13)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5545, 5753])).
% 4.31/4.50 tff(5755,plain,
% 4.31/4.50 (v947(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5550, 5754])).
% 4.31/4.50 tff(5756,plain,
% 4.31/4.50 (v16(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5554, 1913, 5755])).
% 4.31/4.50 tff(5757,plain,
% 4.31/4.50 (v6(constB13, bitIndex0)),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5213, 3881])).
% 4.31/4.50 tff(5758,plain,
% 4.31/4.50 (v935(constB13)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5584, 5757])).
% 4.31/4.50 tff(5759,plain,
% 4.31/4.50 (v933(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5589, 5758])).
% 4.31/4.50 tff(5760,plain,
% 4.31/4.50 (v19(constB12, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5596, 4749, 5759, 5756])).
% 4.31/4.50 tff(5761,plain,
% 4.31/4.50 (v19(constB12, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5604, 4063, 5755, 5756])).
% 4.31/4.50 tff(5762,plain,
% 4.31/4.50 (~v702(constB12)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5612, 5761])).
% 4.31/4.50 tff(5763,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5617, 5762, 5760])).
% 4.31/4.50 tff(5764,plain,((~(constB13 = sK293_VarCurr)) | v911(constB12) | v918(constB12)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5765,plain,
% 4.31/4.50 (~(constB13 = sK293_VarCurr)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5764, 5433, 5437])).
% 4.31/4.50 tff(5766,assumption,(~v6(constB4, bitIndex0)), introduced(assumption)).
% 4.31/4.50 tff(5767,plain,
% 4.31/4.50 (v6(constB8, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4782, 1344, 512, 4689])).
% 4.31/4.50 tff(5768,plain,
% 4.31/4.50 (v6(constB10, bitIndex1)),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5182, 4175])).
% 4.31/4.50 tff(5769,plain,
% 4.31/4.50 (v6(constB9, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[2250, 5768])).
% 4.31/4.50 tff(5770,plain,
% 4.31/4.50 (v949(constB9)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4686, 5769])).
% 4.31/4.50 tff(5771,plain,
% 4.31/4.50 (v947(constB8)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4678, 5770])).
% 4.31/4.50 tff(5772,plain,
% 4.31/4.50 (v19(constB8, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4673, 5771])).
% 4.31/4.50 tff(5773,plain,
% 4.31/4.50 (~v25(constB8, bitIndex2)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[3711, 3571])).
% 4.31/4.50 tff(5774,plain,
% 4.31/4.50 (~v25(constB8, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[3736, 3597])).
% 4.31/4.50 tff(5775,plain,
% 4.31/4.50 (~v25(constB8, bitIndex4)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[3761, 3623])).
% 4.31/4.50 tff(5776,plain,
% 4.31/4.50 (v911(constB8)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[3810, 3670, 755])).
% 4.31/4.50 tff(5777,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex1)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5778,plain,
% 4.31/4.50 (((~v25(constB8, bitIndex1)) | (~v911(constB8))) <=> ((~v911(constB8)) | (~v25(constB8, bitIndex1)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5779,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex1)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex1))))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5778])).
% 4.31/4.50 tff(5780,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex1)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex1)))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5779, 5777])).
% 4.31/4.50 tff(5781,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex1)) | (~v911(constB8)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5782,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex1))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5781, 5780])).
% 4.31/4.50 tff(5783,plain,
% 4.31/4.50 (~v25(constB8, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5782, 5247, 5776])).
% 4.31/4.50 tff(5784,plain,
% 4.31/4.50 (~v25(constB8, bitIndex3)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[3786, 3545])).
% 4.31/4.50 tff(5785,plain,
% 4.31/4.50 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4) | (~v918(constB8)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4) | (~v918(constB8)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5786,plain,
% 4.31/4.50 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4) | (~v918(constB8)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5787,plain,
% 4.31/4.50 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4) | (~v918(constB8))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5786, 5785])).
% 4.31/4.50 tff(5788,plain,
% 4.31/4.50 (~v918(constB8)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5787, 4630, 5784, 5783, 5775, 5774, 5773])).
% 4.31/4.50 tff(5789,assumption,(v19(constB8, bitIndex1)), introduced(assumption)).
% 4.31/4.50 tff(5790,plain,
% 4.31/4.50 (v6(constB8, bitIndex1) | v918(constB8)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4464, 747, 5789])).
% 4.31/4.50 tff(5791,plain,
% 4.31/4.50 (v6(constB8, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5790, 5788])).
% 4.31/4.50 tff(5792,plain,
% 4.31/4.50 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB6) | (~v947(constB6)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB6) | (~v947(constB6)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5793,plain,
% 4.31/4.50 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB6) | (~v947(constB6)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5794,plain,
% 4.31/4.50 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB6) | (~v947(constB6))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5793, 5792])).
% 4.31/4.50 tff(5795,plain,
% 4.31/4.50 (~v947(constB6)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5794, 1913, 3427])).
% 4.31/4.50 tff(5796,plain,
% 4.31/4.50 (~v949(constB7)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4426, 5795])).
% 4.31/4.50 tff(5797,plain,
% 4.31/4.50 (~v6(constB7, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4444, 5796])).
% 4.31/4.50 tff(5798,plain,
% 4.31/4.50 ($false),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4453, 5797, 5791])).
% 4.31/4.50 tff(5799,plain,(v16(constB6) | (~v19(constB8, bitIndex1)) | (~v6(constB8, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.50 tff(5800,plain,
% 4.31/4.50 (v16(constB6)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5799, 5772, 755])).
% 4.31/4.50 tff(5801,plain,
% 4.31/4.50 (~v947(constB6)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4069, 4063, 5800, 1344])).
% 4.31/4.50 tff(5802,plain,
% 4.31/4.50 (~v949(constB7)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4426, 5801])).
% 4.31/4.50 tff(5803,plain,
% 4.31/4.50 (~v6(constB7, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4444, 5802])).
% 4.31/4.50 tff(5804,plain,
% 4.31/4.50 (~v6(constB8, bitIndex1)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4453, 5803])).
% 4.31/4.50 tff(5805,plain,
% 4.31/4.50 (v6(constB10, bitIndex0)),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5213, 3819])).
% 4.31/4.50 tff(5806,plain,
% 4.31/4.50 (v6(constB9, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[2227, 5805])).
% 4.31/4.50 tff(5807,plain,
% 4.31/4.50 (v19(constB8, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4775, 5806, 512])).
% 4.31/4.50 tff(5808,plain,
% 4.31/4.50 (v6(constB8, bitIndex1) | v911(constB8)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[4704, 2111, 5807])).
% 4.31/4.50 tff(5809,plain,
% 4.31/4.50 (v911(constB8)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5808, 5804])).
% 4.31/4.50 tff(5810,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex2)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5811,plain,
% 4.31/4.50 (((~v25(constB8, bitIndex2)) | (~v911(constB8))) <=> ((~v911(constB8)) | (~v25(constB8, bitIndex2)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5812,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex2)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex2))))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5811])).
% 4.31/4.50 tff(5813,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex2)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex2)))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5812, 5810])).
% 4.31/4.50 tff(5814,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex2)) | (~v911(constB8)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5815,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex2))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5814, 5813])).
% 4.31/4.50 tff(5816,plain,
% 4.31/4.50 (~v25(constB8, bitIndex2)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5815, 5291, 5809])).
% 4.31/4.50 tff(5817,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex0)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5818,plain,
% 4.31/4.50 (((~v25(constB8, bitIndex0)) | (~v911(constB8))) <=> ((~v911(constB8)) | (~v25(constB8, bitIndex0)))),
% 4.31/4.50 inference(rewrite,[status(thm)],[])).
% 4.31/4.50 tff(5819,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex0)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex0))))),
% 4.31/4.50 inference(monotonicity,[status(thm)],[5818])).
% 4.31/4.50 tff(5820,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex0)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex0)))),
% 4.31/4.50 inference(transitivity,[status(thm)],[5819, 5817])).
% 4.31/4.50 tff(5821,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex0)) | (~v911(constB8)))),
% 4.31/4.50 inference(quant_inst,[status(thm)],[])).
% 4.31/4.50 tff(5822,plain,
% 4.31/4.50 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex0))),
% 4.31/4.50 inference(modus_ponens,[status(thm)],[5821, 5820])).
% 4.31/4.50 tff(5823,plain,
% 4.31/4.50 (~v25(constB8, bitIndex0)),
% 4.31/4.50 inference(unit_resolution,[status(thm)],[5822, 5269, 5809])).
% 4.31/4.50 tff(5824,plain,
% 4.31/4.50 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex4)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5825,plain,
% 4.31/4.51 (((~v25(constB8, bitIndex4)) | (~v911(constB8))) <=> ((~v911(constB8)) | (~v25(constB8, bitIndex4)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5826,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex4)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex4))))),
% 4.31/4.51 inference(monotonicity,[status(thm)],[5825])).
% 4.31/4.51 tff(5827,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex4)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex4)))),
% 4.31/4.51 inference(transitivity,[status(thm)],[5826, 5824])).
% 4.31/4.51 tff(5828,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex4)) | (~v911(constB8)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5829,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex4))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5828, 5827])).
% 4.31/4.51 tff(5830,plain,
% 4.31/4.51 (~v25(constB8, bitIndex4)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5829, 5280, 5809])).
% 4.31/4.51 tff(5831,plain,
% 4.31/4.51 (~v25(constB8, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5782, 5247, 5809])).
% 4.31/4.51 tff(5832,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex3)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5833,plain,
% 4.31/4.51 (((~v25(constB8, bitIndex3)) | (~v911(constB8))) <=> ((~v911(constB8)) | (~v25(constB8, bitIndex3)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5834,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex3)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB8)) | (~v25(constB8, bitIndex3))))),
% 4.31/4.51 inference(monotonicity,[status(thm)],[5833])).
% 4.31/4.51 tff(5835,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex3)) | (~v911(constB8)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex3)))),
% 4.31/4.51 inference(transitivity,[status(thm)],[5834, 5832])).
% 4.31/4.51 tff(5836,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB8, bitIndex3)) | (~v911(constB8)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5837,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB8)) | (~v25(constB8, bitIndex3))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5836, 5835])).
% 4.31/4.51 tff(5838,plain,
% 4.31/4.51 (~v25(constB8, bitIndex3)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5837, 5258, 5809])).
% 4.31/4.51 tff(5839,plain,
% 4.31/4.51 (v6(constB8, bitIndex1) | v918(constB8)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[4464, 747, 5772])).
% 4.31/4.51 tff(5840,plain,
% 4.31/4.51 (v918(constB8)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5839, 5804])).
% 4.31/4.51 tff(5841,plain,
% 4.31/4.51 ($false),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5787, 4630, 5840, 5838, 5831, 5830, 5823, 5816])).
% 4.31/4.51 tff(5842,plain,((~(constB10 = sK293_VarCurr)) | v19(constB6, bitIndex1) | (~v6(constB8, bitIndex0)) | v911(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.51 tff(5843,plain,
% 4.31/4.51 ($false),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5842, 5767, 1344, 512, 3817])).
% 4.31/4.51 tff(5844,plain,(v19(constB6, bitIndex1) | v911(constB10) | (~(constB10 = sK293_VarCurr)) | (~v19(constB10, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.51 tff(5845,plain,
% 4.31/4.51 (v19(constB6, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5844, 3817, 512, 4689])).
% 4.31/4.51 tff(5846,plain,
% 4.31/4.51 ($false),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5161, 5768])).
% 4.31/4.51 tff(5847,plain,((~(constB10 = sK293_VarCurr)) | v6(constB10, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.51 tff(5848,plain,
% 4.31/4.51 (v6(constB10, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5847, 3817])).
% 4.31/4.51 tff(5849,plain,
% 4.31/4.51 (v6(constB9, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[2250, 5848])).
% 4.31/4.51 tff(5850,plain,
% 4.31/4.51 (v949(constB9)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[4686, 5849])).
% 4.31/4.51 tff(5851,plain,
% 4.31/4.51 (v947(constB8)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[4678, 5850])).
% 4.31/4.51 tff(5852,assumption,(v947(constB8)), introduced(assumption)).
% 4.31/4.51 tff(5853,plain,
% 4.31/4.51 ((~v947(constB8)) | (~v16(constB8))),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[4672, 4063, 1253])).
% 4.31/4.51 tff(5854,plain,
% 4.31/4.51 (~v16(constB8)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5853, 5852])).
% 4.31/4.51 tff(5855,plain,
% 4.31/4.51 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB8) | (~v947(constB8)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB8) | (~v947(constB8)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5856,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB8) | (~v947(constB8)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5857,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB8) | (~v947(constB8))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5856, 5855])).
% 4.31/4.51 tff(5858,plain,
% 4.31/4.51 ($false),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5857, 1913, 5852, 5854])).
% 4.31/4.51 tff(5859,plain,((~v947(constB8)) | v19(constB8, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.51 tff(5860,plain,
% 4.31/4.51 (v19(constB8, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5859, 5851])).
% 4.31/4.51 tff(5861,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v19(constB8, bitIndex1)) | (~v702(constB8)) | v918(constB8))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB8, bitIndex1)) | (~v702(constB8)) | v918(constB8))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5862,plain,
% 4.31/4.51 (((~v702(constB8)) | v918(constB8) | (~v19(constB8, bitIndex1))) <=> ((~v19(constB8, bitIndex1)) | (~v702(constB8)) | v918(constB8))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5863,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB8)) | v918(constB8) | (~v19(constB8, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v19(constB8, bitIndex1)) | (~v702(constB8)) | v918(constB8)))),
% 4.31/4.51 inference(monotonicity,[status(thm)],[5862])).
% 4.31/4.51 tff(5864,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB8)) | v918(constB8) | (~v19(constB8, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB8, bitIndex1)) | (~v702(constB8)) | v918(constB8))),
% 4.31/4.51 inference(transitivity,[status(thm)],[5863, 5861])).
% 4.31/4.51 tff(5865,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB8)) | v918(constB8) | (~v19(constB8, bitIndex1)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5866,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB8, bitIndex1)) | (~v702(constB8)) | v918(constB8)),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5865, 5864])).
% 4.31/4.51 tff(5867,plain,
% 4.31/4.51 ((~v702(constB8)) | v918(constB8)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5866, 5373, 5789])).
% 4.31/4.51 tff(5868,plain,
% 4.31/4.51 (~v702(constB8)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5867, 4458])).
% 4.31/4.51 tff(5869,plain,
% 4.31/4.51 (((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB8) | v911(constB8) | (~v19(constB8, bitIndex0)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB8) | v911(constB8) | (~v19(constB8, bitIndex0)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5870,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB8) | v911(constB8) | (~v19(constB8, bitIndex0)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5871,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB8) | v911(constB8) | (~v19(constB8, bitIndex0))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5870, 5869])).
% 4.31/4.51 tff(5872,plain,
% 4.31/4.51 (v702(constB8) | v911(constB8)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5871, 5391, 1233])).
% 4.31/4.51 tff(5873,plain,
% 4.31/4.51 ($false),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5872, 5868, 4698])).
% 4.31/4.51 tff(5874,plain,(v6(constB8, bitIndex0) | (~v19(constB8, bitIndex0)) | (~v19(constB8, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.51 tff(5875,plain,
% 4.31/4.51 (v6(constB8, bitIndex0)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5874, 5807, 5860])).
% 4.31/4.51 tff(5876,plain,
% 4.31/4.51 (v6(constB7, bitIndex0)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[4791, 5875])).
% 4.31/4.51 tff(5877,plain,
% 4.31/4.51 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB7, bitIndex0)) | v935(constB7) | (~v925(constB7)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB7, bitIndex0)) | v935(constB7) | (~v925(constB7)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5878,plain,
% 4.31/4.51 (((~v6(constB7, bitIndex0)) | (~v925(constB7)) | v935(constB7)) <=> ((~v6(constB7, bitIndex0)) | v935(constB7) | (~v925(constB7)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5879,plain,
% 4.31/4.51 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB7, bitIndex0)) | (~v925(constB7)) | v935(constB7))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB7, bitIndex0)) | v935(constB7) | (~v925(constB7))))),
% 4.31/4.51 inference(monotonicity,[status(thm)],[5878])).
% 4.31/4.51 tff(5880,plain,
% 4.31/4.51 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB7, bitIndex0)) | (~v925(constB7)) | v935(constB7))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB7, bitIndex0)) | v935(constB7) | (~v925(constB7)))),
% 4.31/4.51 inference(transitivity,[status(thm)],[5879, 5877])).
% 4.31/4.51 tff(5881,plain,
% 4.31/4.51 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB7, bitIndex0)) | (~v925(constB7)) | v935(constB7))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5882,plain,
% 4.31/4.51 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB7, bitIndex0)) | v935(constB7) | (~v925(constB7))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5881, 5880])).
% 4.31/4.51 tff(5883,plain,
% 4.31/4.51 ((~v6(constB7, bitIndex0)) | v935(constB7)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5882, 4716, 1218])).
% 4.31/4.51 tff(5884,plain,
% 4.31/4.51 (v935(constB7)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5883, 5876])).
% 4.31/4.51 tff(5885,plain,
% 4.31/4.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB6, constB7)) | v933(constB6) | (~v935(constB7)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB6, constB7)) | v933(constB6) | (~v935(constB7)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5886,plain,
% 4.31/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB6, constB7)) | v933(constB6) | (~v935(constB7)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5887,plain,
% 4.31/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB6, constB7)) | v933(constB6) | (~v935(constB7))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5886, 5885])).
% 4.31/4.51 tff(5888,plain,
% 4.31/4.51 (v933(constB6) | (~v935(constB7))),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5887, 4734, 114])).
% 4.31/4.51 tff(5889,plain,
% 4.31/4.51 (v933(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5888, 5884])).
% 4.31/4.51 tff(5890,plain,
% 4.31/4.51 (~v6(constB8, bitIndex0)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5799, 3427, 5789])).
% 4.31/4.51 tff(5891,plain,
% 4.31/4.51 (~v6(constB7, bitIndex0)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[1192, 5890])).
% 4.31/4.51 tff(5892,plain,
% 4.31/4.51 (~v935(constB7)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[1225, 5891])).
% 4.31/4.51 tff(5893,plain,
% 4.31/4.51 (~v933(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[1230, 5892])).
% 4.31/4.51 tff(5894,plain,
% 4.31/4.51 ($false),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[1320, 382, 5893, 3427])).
% 4.31/4.51 tff(5895,plain,(v16(constB6) | (~v19(constB8, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.51 tff(5896,plain,
% 4.31/4.51 (v16(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5895, 5860])).
% 4.31/4.51 tff(5897,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex0))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5898,plain,
% 4.31/4.51 (((~v16(constB6)) | v19(constB6, bitIndex0) | (~v933(constB6))) <=> ((~v933(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex0))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5899,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB6)) | v19(constB6, bitIndex0) | (~v933(constB6)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex0)))),
% 4.31/4.51 inference(monotonicity,[status(thm)],[5898])).
% 4.31/4.51 tff(5900,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB6)) | v19(constB6, bitIndex0) | (~v933(constB6)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex0))),
% 4.31/4.51 inference(transitivity,[status(thm)],[5899, 5897])).
% 4.31/4.51 tff(5901,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB6)) | v19(constB6, bitIndex0) | (~v933(constB6)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5902,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB6)) | (~v16(constB6)) | v19(constB6, bitIndex0)),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5901, 5900])).
% 4.31/4.51 tff(5903,plain,
% 4.31/4.51 ((~v933(constB6)) | v19(constB6, bitIndex0)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5902, 4749, 5896])).
% 4.31/4.51 tff(5904,plain,
% 4.31/4.51 (v19(constB6, bitIndex0)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5903, 5889])).
% 4.31/4.51 tff(5905,assumption,(~v6(constB6, bitIndex1)), introduced(assumption)).
% 4.31/4.51 tff(5906,plain,
% 4.31/4.51 (v911(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[3383, 5905])).
% 4.31/4.51 tff(5907,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex1)) | (~v911(constB6)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex1)) | (~v911(constB6)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5908,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex1)) | (~v911(constB6)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5909,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex1)) | (~v911(constB6))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5908, 5907])).
% 4.31/4.51 tff(5910,plain,
% 4.31/4.51 (~v25(constB6, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5909, 5247, 5906])).
% 4.31/4.51 tff(5911,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex0)) | (~v911(constB6)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex0)) | (~v911(constB6)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5912,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex0)) | (~v911(constB6)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5913,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex0)) | (~v911(constB6))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5912, 5911])).
% 4.31/4.51 tff(5914,plain,
% 4.31/4.51 (~v25(constB6, bitIndex0)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5913, 5269, 5906])).
% 4.31/4.51 tff(5915,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex2)) | (~v911(constB6)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex2)) | (~v911(constB6)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5916,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex2)) | (~v911(constB6)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5917,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex2)) | (~v911(constB6))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5916, 5915])).
% 4.31/4.51 tff(5918,plain,
% 4.31/4.51 (~v25(constB6, bitIndex2)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5917, 5291, 5906])).
% 4.31/4.51 tff(5919,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex4)) | (~v911(constB6)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex4)) | (~v911(constB6)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5920,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex4)) | (~v911(constB6)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5921,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex4)) | (~v911(constB6))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5920, 5919])).
% 4.31/4.51 tff(5922,plain,
% 4.31/4.51 (~v25(constB6, bitIndex4)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5921, 5280, 5906])).
% 4.31/4.51 tff(5923,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex3)) | (~v911(constB6)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex3)) | (~v911(constB6)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5924,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB6, bitIndex3)) | (~v911(constB6)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5925,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v25(constB6, bitIndex3)) | (~v911(constB6))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5924, 5923])).
% 4.31/4.51 tff(5926,plain,
% 4.31/4.51 (~v25(constB6, bitIndex3)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5925, 5258, 5906])).
% 4.31/4.51 tff(5927,plain,
% 4.31/4.51 (v6(constB6, bitIndex1) | v918(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[3393, 747, 4136])).
% 4.31/4.51 tff(5928,plain,
% 4.31/4.51 (v918(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5927, 5905])).
% 4.31/4.51 tff(5929,plain,
% 4.31/4.51 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1) | (~v918(constB6)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1) | (~v918(constB6)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5930,plain,
% 4.31/4.51 ((v25(constB6, bitIndex1) | v25(constB6, bitIndex0) | v25(constB6, bitIndex2) | v25(constB6, bitIndex3) | v25(constB6, bitIndex4) | (~v918(constB6))) <=> (v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1) | (~v918(constB6)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5931,plain,
% 4.31/4.51 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB6, bitIndex1) | v25(constB6, bitIndex0) | v25(constB6, bitIndex2) | v25(constB6, bitIndex3) | v25(constB6, bitIndex4) | (~v918(constB6)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1) | (~v918(constB6))))),
% 4.31/4.51 inference(monotonicity,[status(thm)],[5930])).
% 4.31/4.51 tff(5932,plain,
% 4.31/4.51 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB6, bitIndex1) | v25(constB6, bitIndex0) | v25(constB6, bitIndex2) | v25(constB6, bitIndex3) | v25(constB6, bitIndex4) | (~v918(constB6)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1) | (~v918(constB6)))),
% 4.31/4.51 inference(transitivity,[status(thm)],[5931, 5929])).
% 4.31/4.51 tff(5933,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB6, bitIndex1) | v25(constB6, bitIndex0) | v25(constB6, bitIndex2) | v25(constB6, bitIndex3) | v25(constB6, bitIndex4) | (~v918(constB6)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5934,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1) | (~v918(constB6))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5933, 5932])).
% 4.31/4.51 tff(5935,plain,
% 4.31/4.51 (v25(constB6, bitIndex4) | v25(constB6, bitIndex3) | v25(constB6, bitIndex2) | v25(constB6, bitIndex0) | v25(constB6, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5934, 4630, 5928])).
% 4.31/4.51 tff(5936,plain,
% 4.31/4.51 ($false),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5935, 5926, 5922, 5918, 5914, 5910])).
% 4.31/4.51 tff(5937,plain,(v6(constB6, bitIndex1) | (~v19(constB6, bitIndex0)) | (~v19(constB6, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.51 tff(5938,plain,
% 4.31/4.51 (v6(constB6, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5937, 5904, 5845])).
% 4.31/4.51 tff(5939,plain,
% 4.31/4.51 (v6(constB5, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[3378, 5938])).
% 4.31/4.51 tff(5940,plain,
% 4.31/4.51 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB5, bitIndex1)) | v949(constB5) | (~v941(constB5)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB5, bitIndex1)) | v949(constB5) | (~v941(constB5)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5941,plain,
% 4.31/4.51 (((~v6(constB5, bitIndex1)) | (~v941(constB5)) | v949(constB5)) <=> ((~v6(constB5, bitIndex1)) | v949(constB5) | (~v941(constB5)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5942,plain,
% 4.31/4.51 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB5, bitIndex1)) | (~v941(constB5)) | v949(constB5))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB5, bitIndex1)) | v949(constB5) | (~v941(constB5))))),
% 4.31/4.51 inference(monotonicity,[status(thm)],[5941])).
% 4.31/4.51 tff(5943,plain,
% 4.31/4.51 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB5, bitIndex1)) | (~v941(constB5)) | v949(constB5))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB5, bitIndex1)) | v949(constB5) | (~v941(constB5)))),
% 4.31/4.51 inference(transitivity,[status(thm)],[5942, 5940])).
% 4.31/4.51 tff(5944,plain,
% 4.31/4.51 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB5, bitIndex1)) | (~v941(constB5)) | v949(constB5))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5945,plain,
% 4.31/4.51 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB5, bitIndex1)) | v949(constB5) | (~v941(constB5))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5944, 5943])).
% 4.31/4.51 tff(5946,plain,
% 4.31/4.51 ((~v6(constB5, bitIndex1)) | v949(constB5)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5945, 4437, 1551])).
% 4.31/4.51 tff(5947,plain,
% 4.31/4.51 (v949(constB5)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5946, 5939])).
% 4.31/4.51 tff(5948,plain,
% 4.31/4.51 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB4, constB5)) | v947(constB4) | (~v949(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB4, constB5)) | v947(constB4) | (~v949(constB5)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5949,plain,
% 4.31/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB4, constB5)) | v947(constB4) | (~v949(constB5)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5950,plain,
% 4.31/4.51 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB4, constB5)) | v947(constB4) | (~v949(constB5))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5949, 5948])).
% 4.31/4.51 tff(5951,plain,
% 4.31/4.51 (v947(constB4) | (~v949(constB5))),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5950, 4422, 94])).
% 4.31/4.51 tff(5952,plain,
% 4.31/4.51 (v947(constB4)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5951, 5947])).
% 4.31/4.51 tff(5953,plain,
% 4.31/4.51 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB4) | (~v947(constB4)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB4) | (~v947(constB4)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5954,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB4) | (~v947(constB4)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5955,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB4) | (~v947(constB4))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5954, 5953])).
% 4.31/4.51 tff(5956,plain,
% 4.31/4.51 (v16(constB4)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5955, 1913, 5952])).
% 4.31/4.51 tff(5957,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex1))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5958,plain,
% 4.31/4.51 (((~v16(constB4)) | v19(constB4, bitIndex1) | (~v947(constB4))) <=> ((~v947(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex1))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5959,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB4)) | v19(constB4, bitIndex1) | (~v947(constB4)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex1)))),
% 4.31/4.51 inference(monotonicity,[status(thm)],[5958])).
% 4.31/4.51 tff(5960,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB4)) | v19(constB4, bitIndex1) | (~v947(constB4)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex1))),
% 4.31/4.51 inference(transitivity,[status(thm)],[5959, 5957])).
% 4.31/4.51 tff(5961,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB4)) | v19(constB4, bitIndex1) | (~v947(constB4)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5962,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex1)),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5961, 5960])).
% 4.31/4.51 tff(5963,plain,
% 4.31/4.51 (v19(constB4, bitIndex1)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5962, 4063, 5952, 5956])).
% 4.31/4.51 tff(5964,assumption,(~v6(constB6, bitIndex0)), introduced(assumption)).
% 4.31/4.51 tff(5965,plain,
% 4.31/4.51 (~v911(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[3365, 2097, 5964])).
% 4.31/4.51 tff(5966,plain,
% 4.31/4.51 (~v918(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[3389, 645, 5964])).
% 4.31/4.51 tff(5967,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v918(constB6) | (~v19(constB6, bitIndex1)) | (~v702(constB6)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB6) | (~v19(constB6, bitIndex1)) | (~v702(constB6)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5968,plain,
% 4.31/4.51 (((~v702(constB6)) | v918(constB6) | (~v19(constB6, bitIndex1))) <=> (v918(constB6) | (~v19(constB6, bitIndex1)) | (~v702(constB6)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5969,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB6)) | v918(constB6) | (~v19(constB6, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v918(constB6) | (~v19(constB6, bitIndex1)) | (~v702(constB6))))),
% 4.31/4.51 inference(monotonicity,[status(thm)],[5968])).
% 4.31/4.51 tff(5970,plain,
% 4.31/4.51 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB6)) | v918(constB6) | (~v19(constB6, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB6) | (~v19(constB6, bitIndex1)) | (~v702(constB6)))),
% 4.31/4.51 inference(transitivity,[status(thm)],[5969, 5967])).
% 4.31/4.51 tff(5971,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB6)) | v918(constB6) | (~v19(constB6, bitIndex1)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5972,plain,
% 4.31/4.51 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB6) | (~v19(constB6, bitIndex1)) | (~v702(constB6))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5971, 5970])).
% 4.31/4.51 tff(5973,plain,
% 4.31/4.51 (v918(constB6) | (~v702(constB6))),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5972, 5373, 4136])).
% 4.31/4.51 tff(5974,plain,
% 4.31/4.51 (~v702(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5973, 5966])).
% 4.31/4.51 tff(5975,plain,
% 4.31/4.51 (((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB6) | v911(constB6) | (~v19(constB6, bitIndex0)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB6) | v911(constB6) | (~v19(constB6, bitIndex0)))),
% 4.31/4.51 inference(rewrite,[status(thm)],[])).
% 4.31/4.51 tff(5976,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB6) | v911(constB6) | (~v19(constB6, bitIndex0)))),
% 4.31/4.51 inference(quant_inst,[status(thm)],[])).
% 4.31/4.51 tff(5977,plain,
% 4.31/4.51 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB6) | v911(constB6) | (~v19(constB6, bitIndex0))),
% 4.31/4.51 inference(modus_ponens,[status(thm)],[5976, 5975])).
% 4.31/4.51 tff(5978,plain,
% 4.31/4.51 (v702(constB6) | v911(constB6)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5977, 5391, 2123])).
% 4.31/4.51 tff(5979,plain,
% 4.31/4.51 ($false),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5978, 5974, 5965])).
% 4.31/4.51 tff(5980,plain,(v6(constB6, bitIndex0) | (~v19(constB6, bitIndex0)) | (~v19(constB6, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.51 tff(5981,plain,
% 4.31/4.51 (v6(constB6, bitIndex0)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[5980, 5904, 5845])).
% 4.31/4.51 tff(5982,plain,
% 4.31/4.51 (v6(constB5, bitIndex0)),
% 4.31/4.51 inference(unit_resolution,[status(thm)],[3361, 5981])).
% 4.31/4.51 tff(5983,plain,
% 4.31/4.51 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB5, bitIndex0)) | v935(constB5) | (~v925(constB5)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB5, bitIndex0)) | v935(constB5) | (~v925(constB5)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(5984,plain,
% 4.31/4.52 (((~v6(constB5, bitIndex0)) | (~v925(constB5)) | v935(constB5)) <=> ((~v6(constB5, bitIndex0)) | v935(constB5) | (~v925(constB5)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(5985,plain,
% 4.31/4.52 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB5, bitIndex0)) | (~v925(constB5)) | v935(constB5))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB5, bitIndex0)) | v935(constB5) | (~v925(constB5))))),
% 4.31/4.52 inference(monotonicity,[status(thm)],[5984])).
% 4.31/4.52 tff(5986,plain,
% 4.31/4.52 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB5, bitIndex0)) | (~v925(constB5)) | v935(constB5))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB5, bitIndex0)) | v935(constB5) | (~v925(constB5)))),
% 4.31/4.52 inference(transitivity,[status(thm)],[5985, 5983])).
% 4.31/4.52 tff(5987,plain,
% 4.31/4.52 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB5, bitIndex0)) | (~v925(constB5)) | v935(constB5))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(5988,plain,
% 4.31/4.52 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB5, bitIndex0)) | v935(constB5) | (~v925(constB5))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5987, 5986])).
% 4.31/4.52 tff(5989,plain,
% 4.31/4.52 ((~v6(constB5, bitIndex0)) | v935(constB5)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5988, 4716, 1447])).
% 4.31/4.52 tff(5990,plain,
% 4.31/4.52 (v935(constB5)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5989, 5982])).
% 4.31/4.52 tff(5991,plain,
% 4.31/4.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB4, constB5)) | v933(constB4) | (~v935(constB5)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB4, constB5)) | v933(constB4) | (~v935(constB5)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(5992,plain,
% 4.31/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB4, constB5)) | v933(constB4) | (~v935(constB5)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(5993,plain,
% 4.31/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB4, constB5)) | v933(constB4) | (~v935(constB5))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5992, 5991])).
% 4.31/4.52 tff(5994,plain,
% 4.31/4.52 (v933(constB4) | (~v935(constB5))),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5993, 4734, 94])).
% 4.31/4.52 tff(5995,plain,
% 4.31/4.52 (v933(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5994, 5990])).
% 4.31/4.52 tff(5996,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex0))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(5997,plain,
% 4.31/4.52 (((~v16(constB4)) | v19(constB4, bitIndex0) | (~v933(constB4))) <=> ((~v933(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex0))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(5998,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB4)) | v19(constB4, bitIndex0) | (~v933(constB4)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex0)))),
% 4.31/4.52 inference(monotonicity,[status(thm)],[5997])).
% 4.31/4.52 tff(5999,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB4)) | v19(constB4, bitIndex0) | (~v933(constB4)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex0))),
% 4.31/4.52 inference(transitivity,[status(thm)],[5998, 5996])).
% 4.31/4.52 tff(6000,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB4)) | v19(constB4, bitIndex0) | (~v933(constB4)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6001,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB4)) | (~v16(constB4)) | v19(constB4, bitIndex0)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6000, 5999])).
% 4.31/4.52 tff(6002,plain,
% 4.31/4.52 ((~v16(constB4)) | v19(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6001, 4749, 5995])).
% 4.31/4.52 tff(6003,plain,
% 4.31/4.52 (v19(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6002, 5956])).
% 4.31/4.52 tff(6004,plain,
% 4.31/4.52 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB4, bitIndex0) | (~v911(constB4)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB4, bitIndex0) | (~v911(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6005,plain,
% 4.31/4.52 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | (v6(constB4, bitIndex0) | (~v911(constB4)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6006,plain,
% 4.31/4.52 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex0) | (~v911(VarCurr)))) | v6(constB4, bitIndex0) | (~v911(constB4))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6005, 6004])).
% 4.31/4.52 tff(6007,plain,
% 4.31/4.52 (~v911(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6006, 2097, 5766])).
% 4.31/4.52 tff(6008,plain,
% 4.31/4.52 (~v918(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[4098, 645, 5766])).
% 4.31/4.52 tff(6009,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v19(constB4, bitIndex1)) | v918(constB4) | (~v702(constB4)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB4, bitIndex1)) | v918(constB4) | (~v702(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6010,plain,
% 4.31/4.52 (((~v702(constB4)) | v918(constB4) | (~v19(constB4, bitIndex1))) <=> ((~v19(constB4, bitIndex1)) | v918(constB4) | (~v702(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6011,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB4)) | v918(constB4) | (~v19(constB4, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v19(constB4, bitIndex1)) | v918(constB4) | (~v702(constB4))))),
% 4.31/4.52 inference(monotonicity,[status(thm)],[6010])).
% 4.31/4.52 tff(6012,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB4)) | v918(constB4) | (~v19(constB4, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB4, bitIndex1)) | v918(constB4) | (~v702(constB4)))),
% 4.31/4.52 inference(transitivity,[status(thm)],[6011, 6009])).
% 4.31/4.52 tff(6013,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB4)) | v918(constB4) | (~v19(constB4, bitIndex1)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6014,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (~v19(constB4, bitIndex1)) | v918(constB4) | (~v702(constB4))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6013, 6012])).
% 4.31/4.52 tff(6015,plain,
% 4.31/4.52 (v918(constB4) | (~v702(constB4))),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6014, 5373, 4109])).
% 4.31/4.52 tff(6016,plain,
% 4.31/4.52 (~v702(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6015, 6008])).
% 4.31/4.52 tff(6017,plain,
% 4.31/4.52 (((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB4) | v911(constB4) | (~v19(constB4, bitIndex0)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB4) | v911(constB4) | (~v19(constB4, bitIndex0)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6018,plain,
% 4.31/4.52 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB4) | v911(constB4) | (~v19(constB4, bitIndex0)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6019,plain,
% 4.31/4.52 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB4) | v911(constB4) | (~v19(constB4, bitIndex0))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6018, 6017])).
% 4.31/4.52 tff(6020,plain,
% 4.31/4.52 (v702(constB4) | v911(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6019, 5391, 1703])).
% 4.31/4.52 tff(6021,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6020, 6016, 6007])).
% 4.31/4.52 tff(6022,plain,(v6(constB4, bitIndex0) | (~v19(constB4, bitIndex0)) | (~v19(constB4, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6023,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6022, 6003, 5963, 5766])).
% 4.31/4.52 tff(6024,plain,((~(constB10 = sK293_VarCurr)) | v6(constB4, bitIndex0) | v911(constB10) | (~v19(constB10, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6025,plain,
% 4.31/4.52 (~(constB10 = sK293_VarCurr)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6024, 5766, 5193, 5191])).
% 4.31/4.52 tff(6026,plain,
% 4.31/4.52 (v6(constB4, bitIndex0)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5213, 2068])).
% 4.31/4.52 tff(6027,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5766, 6026])).
% 4.31/4.52 tff(6028,plain,((~(constB4 = sK293_VarCurr)) | v6(constB4, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6029,plain,
% 4.31/4.52 (~(constB4 = sK293_VarCurr)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6028, 5766])).
% 4.31/4.52 tff(6030,plain,
% 4.31/4.52 (~v6(constB3, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[1617, 5766])).
% 4.31/4.52 tff(6031,plain,
% 4.31/4.52 (v6(constB3, bitIndex0)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5213, 2035])).
% 4.31/4.52 tff(6032,assumption,(~v6(constB3, bitIndex0)), introduced(assumption)).
% 4.31/4.52 tff(6033,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6032, 6031])).
% 4.31/4.52 tff(6034,plain,((~(constB3 = sK293_VarCurr)) | v6(constB3, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6035,plain,
% 4.31/4.52 (~(constB3 = sK293_VarCurr)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6034, 6030])).
% 4.31/4.52 tff(6036,plain,
% 4.31/4.52 (v6(constB7, bitIndex1)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5182, 2305])).
% 4.31/4.52 tff(6037,assumption,(~v6(constB7, bitIndex1)), introduced(assumption)).
% 4.31/4.52 tff(6038,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6037, 6036])).
% 4.31/4.52 tff(6039,plain,((~(constB7 = sK293_VarCurr)) | v6(constB7, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6040,plain,
% 4.31/4.52 (v6(constB7, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6039, 2303])).
% 4.31/4.52 tff(6041,plain,
% 4.31/4.52 (v949(constB7)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[4444, 6040])).
% 4.31/4.52 tff(6042,plain,
% 4.31/4.52 (v947(constB6)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[4426, 6041])).
% 4.31/4.52 tff(6043,assumption,(v947(constB6)), introduced(assumption)).
% 4.31/4.52 tff(6044,plain,
% 4.31/4.52 ((~v947(constB6)) | (~v16(constB6))),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[4069, 4063, 1344])).
% 4.31/4.52 tff(6045,plain,
% 4.31/4.52 (~v16(constB6)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6044, 6043])).
% 4.31/4.52 tff(6046,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5794, 1913, 6043, 6045])).
% 4.31/4.52 tff(6047,plain,((~v947(constB6)) | v19(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6048,plain,
% 4.31/4.52 (v19(constB6, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6047, 6042])).
% 4.31/4.52 tff(6049,plain,
% 4.31/4.52 (v16(constB6)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5794, 1913, 6042])).
% 4.31/4.52 tff(6050,plain,
% 4.31/4.52 (v6(constB7, bitIndex0)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5213, 2324])).
% 4.31/4.52 tff(6051,plain,
% 4.31/4.52 (v935(constB7)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5883, 6050])).
% 4.31/4.52 tff(6052,plain,
% 4.31/4.52 (v933(constB6)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5888, 6051])).
% 4.31/4.52 tff(6053,plain,
% 4.31/4.52 (v19(constB6, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5902, 4749, 6052, 6049])).
% 4.31/4.52 tff(6054,plain,
% 4.31/4.52 (v6(constB6, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5937, 6053, 6048])).
% 4.31/4.52 tff(6055,plain,
% 4.31/4.52 (v6(constB5, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[3378, 6054])).
% 4.31/4.52 tff(6056,plain,
% 4.31/4.52 (v949(constB5)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5946, 6055])).
% 4.31/4.52 tff(6057,plain,
% 4.31/4.52 (v947(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5951, 6056])).
% 4.31/4.52 tff(6058,plain,
% 4.31/4.52 (v16(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5955, 1913, 6057])).
% 4.31/4.52 tff(6059,plain,
% 4.31/4.52 (v19(constB4, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5962, 4063, 6057, 6058])).
% 4.31/4.52 tff(6060,plain,
% 4.31/4.52 (v6(constB6, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5980, 6053, 6048])).
% 4.31/4.52 tff(6061,plain,
% 4.31/4.52 (v6(constB5, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[3361, 6060])).
% 4.31/4.52 tff(6062,plain,
% 4.31/4.52 (v935(constB5)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5989, 6061])).
% 4.31/4.52 tff(6063,plain,
% 4.31/4.52 (v933(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5994, 6062])).
% 4.31/4.52 tff(6064,plain,
% 4.31/4.52 ((~v16(constB4)) | v19(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6001, 4749, 6063])).
% 4.31/4.52 tff(6065,plain,
% 4.31/4.52 (v19(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6064, 6058])).
% 4.31/4.52 tff(6066,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6022, 6065, 6059, 5766])).
% 4.31/4.52 tff(6067,plain,((~(constB7 = sK293_VarCurr)) | v6(constB4, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6068,plain,
% 4.31/4.52 (~(constB7 = sK293_VarCurr)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6067, 5766])).
% 4.31/4.52 tff(6069,plain,
% 4.31/4.52 (v6(constB15, bitIndex1)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5182, 3853])).
% 4.31/4.52 tff(6070,assumption,(~v6(constB15, bitIndex1)), introduced(assumption)).
% 4.31/4.52 tff(6071,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6070, 6069])).
% 4.31/4.52 tff(6072,plain,((~(constB15 = sK293_VarCurr)) | v6(constB15, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6073,plain,
% 4.31/4.52 (v6(constB15, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6072, 3851])).
% 4.31/4.52 tff(6074,plain,
% 4.31/4.52 (v949(constB15)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5060, 6073])).
% 4.31/4.52 tff(6075,plain,
% 4.31/4.52 (v947(constB14)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5052, 6074])).
% 4.31/4.52 tff(6076,plain,
% 4.31/4.52 (v16(constB14)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5001, 1913, 6075])).
% 4.31/4.52 tff(6077,plain,
% 4.31/4.52 (v6(constB15, bitIndex0)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5213, 3863])).
% 4.31/4.52 tff(6078,assumption,(~v6(constB15, bitIndex0)), introduced(assumption)).
% 4.31/4.52 tff(6079,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6078, 6077])).
% 4.31/4.52 tff(6080,plain,((~(constB15 = sK293_VarCurr)) | v6(constB15, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6081,plain,
% 4.31/4.52 (v6(constB15, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6080, 3851])).
% 4.31/4.52 tff(6082,plain,
% 4.31/4.52 (v935(constB15)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5466, 6081])).
% 4.31/4.52 tff(6083,plain,
% 4.31/4.52 (v933(constB14)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5471, 6082])).
% 4.31/4.52 tff(6084,plain,
% 4.31/4.52 (v19(constB14, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5478, 4749, 6083, 6076])).
% 4.31/4.52 tff(6085,plain,
% 4.31/4.52 (v19(constB14, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5008, 4063, 6075, 6076])).
% 4.31/4.52 tff(6086,plain,
% 4.31/4.52 (v6(constB14, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5536, 6085, 6084])).
% 4.31/4.52 tff(6087,plain,
% 4.31/4.52 (v6(constB13, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5038, 6086])).
% 4.31/4.52 tff(6088,plain,
% 4.31/4.52 (v949(constB13)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5545, 6087])).
% 4.31/4.52 tff(6089,plain,
% 4.31/4.52 (v947(constB12)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5550, 6088])).
% 4.31/4.52 tff(6090,plain,
% 4.31/4.52 (v16(constB12)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5554, 1913, 6089])).
% 4.31/4.52 tff(6091,plain,
% 4.31/4.52 (v19(constB12, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5604, 4063, 6089, 6090])).
% 4.31/4.52 tff(6092,plain,
% 4.31/4.52 (v6(constB14, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5575, 6085, 6084])).
% 4.31/4.52 tff(6093,plain,
% 4.31/4.52 (v6(constB13, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5024, 6092])).
% 4.31/4.52 tff(6094,plain,
% 4.31/4.52 (v935(constB13)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5584, 6093])).
% 4.31/4.52 tff(6095,plain,
% 4.31/4.52 (v933(constB12)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5589, 6094])).
% 4.31/4.52 tff(6096,plain,
% 4.31/4.52 ((~v16(constB12)) | v19(constB12, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5596, 4749, 6095])).
% 4.31/4.52 tff(6097,plain,
% 4.31/4.52 (v19(constB12, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6096, 6090])).
% 4.31/4.52 tff(6098,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5694, 6097, 6091, 5186])).
% 4.31/4.52 tff(6099,plain,((~(constB15 = sK293_VarCurr)) | v6(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6100,plain,
% 4.31/4.52 (~(constB15 = sK293_VarCurr)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6099, 5186])).
% 4.31/4.52 tff(6101,plain,
% 4.31/4.52 (v6(constB6, bitIndex1)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5182, 2169])).
% 4.31/4.52 tff(6102,plain,
% 4.31/4.52 (v6(constB5, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[3378, 6101])).
% 4.31/4.52 tff(6103,plain,
% 4.31/4.52 (v949(constB5)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5946, 6102])).
% 4.31/4.52 tff(6104,plain,
% 4.31/4.52 (v947(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5951, 6103])).
% 4.31/4.52 tff(6105,plain,
% 4.31/4.52 (v16(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5955, 1913, 6104])).
% 4.31/4.52 tff(6106,plain,
% 4.31/4.52 (v19(constB4, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5962, 4063, 6104, 6105])).
% 4.31/4.52 tff(6107,plain,
% 4.31/4.52 (v6(constB6, bitIndex0)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5213, 2155])).
% 4.31/4.52 tff(6108,plain,
% 4.31/4.52 (v6(constB5, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[3361, 6107])).
% 4.31/4.52 tff(6109,plain,
% 4.31/4.52 (v935(constB5)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5989, 6108])).
% 4.31/4.52 tff(6110,plain,
% 4.31/4.52 (v933(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5994, 6109])).
% 4.31/4.52 tff(6111,plain,
% 4.31/4.52 (v19(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6001, 4749, 6110, 6105])).
% 4.31/4.52 tff(6112,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6022, 6111, 6106, 5766])).
% 4.31/4.52 tff(6113,plain,((~(constB6 = sK293_VarCurr)) | v6(constB4, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6114,plain,
% 4.31/4.52 (~(constB6 = sK293_VarCurr)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6113, 5766])).
% 4.31/4.52 tff(6115,plain,
% 4.31/4.52 (v6(constB5, bitIndex1)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5182, 3368])).
% 4.31/4.52 tff(6116,plain,
% 4.31/4.52 (v949(constB5)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5946, 6115])).
% 4.31/4.52 tff(6117,plain,
% 4.31/4.52 (v947(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5951, 6116])).
% 4.31/4.52 tff(6118,plain,
% 4.31/4.52 (v16(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5955, 1913, 6117])).
% 4.31/4.52 tff(6119,plain,
% 4.31/4.52 (v19(constB4, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5962, 4063, 6117, 6118])).
% 4.31/4.52 tff(6120,plain,
% 4.31/4.52 (v6(constB5, bitIndex0)),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[5213, 3347])).
% 4.31/4.52 tff(6121,assumption,(~v6(constB5, bitIndex0)), introduced(assumption)).
% 4.31/4.52 tff(6122,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6121, 6120])).
% 4.31/4.52 tff(6123,plain,((~(constB5 = sK293_VarCurr)) | v6(constB5, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6124,plain,
% 4.31/4.52 (v6(constB5, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6123, 3345])).
% 4.31/4.52 tff(6125,plain,
% 4.31/4.52 (v935(constB5)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5989, 6124])).
% 4.31/4.52 tff(6126,plain,
% 4.31/4.52 (v933(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5994, 6125])).
% 4.31/4.52 tff(6127,plain,
% 4.31/4.52 ((~v16(constB4)) | v19(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6001, 4749, 6126])).
% 4.31/4.52 tff(6128,plain,
% 4.31/4.52 (v19(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6127, 6118])).
% 4.31/4.52 tff(6129,plain,
% 4.31/4.52 (v6(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6022, 6128, 6119])).
% 4.31/4.52 tff(6130,plain,
% 4.31/4.52 (v6(constB3, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[4094, 6129])).
% 4.31/4.52 tff(6131,plain,
% 4.31/4.52 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB3, bitIndex0)) | v935(constB3) | (~v925(constB3)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB3, bitIndex0)) | v935(constB3) | (~v925(constB3)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6132,plain,
% 4.31/4.52 (((~v6(constB3, bitIndex0)) | (~v925(constB3)) | v935(constB3)) <=> ((~v6(constB3, bitIndex0)) | v935(constB3) | (~v925(constB3)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6133,plain,
% 4.31/4.52 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB3, bitIndex0)) | (~v925(constB3)) | v935(constB3))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB3, bitIndex0)) | v935(constB3) | (~v925(constB3))))),
% 4.31/4.52 inference(monotonicity,[status(thm)],[6132])).
% 4.31/4.52 tff(6134,plain,
% 4.31/4.52 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB3, bitIndex0)) | (~v925(constB3)) | v935(constB3))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB3, bitIndex0)) | v935(constB3) | (~v925(constB3)))),
% 4.31/4.52 inference(transitivity,[status(thm)],[6133, 6131])).
% 4.31/4.52 tff(6135,plain,
% 4.31/4.52 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB3, bitIndex0)) | (~v925(constB3)) | v935(constB3))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6136,plain,
% 4.31/4.52 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB3, bitIndex0)) | v935(constB3) | (~v925(constB3))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6135, 6134])).
% 4.31/4.52 tff(6137,plain,
% 4.31/4.52 ((~v6(constB3, bitIndex0)) | v935(constB3)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6136, 4716, 1643])).
% 4.31/4.52 tff(6138,plain,
% 4.31/4.52 (v935(constB3)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6137, 6130])).
% 4.31/4.52 tff(6139,plain,
% 4.31/4.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB2, constB3)) | v933(constB2) | (~v935(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB2, constB3)) | v933(constB2) | (~v935(constB3)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6140,plain,
% 4.31/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB2, constB3)) | v933(constB2) | (~v935(constB3)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6141,plain,
% 4.31/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB2, constB3)) | v933(constB2) | (~v935(constB3))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6140, 6139])).
% 4.31/4.52 tff(6142,plain,
% 4.31/4.52 (v933(constB2) | (~v935(constB3))),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6141, 4734, 74])).
% 4.31/4.52 tff(6143,plain,
% 4.31/4.52 (v933(constB2)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6142, 6138])).
% 4.31/4.52 tff(6144,assumption,(~v6(constB4, bitIndex1)), introduced(assumption)).
% 4.31/4.52 tff(6145,assumption,(v947(constB4)), introduced(assumption)).
% 4.31/4.52 tff(6146,plain,
% 4.31/4.52 (v16(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5955, 1913, 6145])).
% 4.31/4.52 tff(6147,assumption,(v933(constB4)), introduced(assumption)).
% 4.31/4.52 tff(6148,plain,
% 4.31/4.52 ((~v16(constB4)) | v19(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6001, 4749, 6147])).
% 4.31/4.52 tff(6149,plain,
% 4.31/4.52 (v19(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6148, 6146])).
% 4.31/4.52 tff(6150,plain,
% 4.31/4.52 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB4, bitIndex1) | v911(constB4) | (~v19(constB4, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB4, bitIndex1) | v911(constB4) | (~v19(constB4, bitIndex0)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6151,plain,
% 4.31/4.52 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB4, bitIndex1) | v911(constB4) | (~v19(constB4, bitIndex0)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6152,plain,
% 4.31/4.52 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB4, bitIndex1) | v911(constB4) | (~v19(constB4, bitIndex0))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6151, 6150])).
% 4.31/4.52 tff(6153,plain,
% 4.31/4.52 (v911(constB4) | (~v19(constB4, bitIndex0))),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6152, 2111, 6144])).
% 4.31/4.52 tff(6154,plain,
% 4.31/4.52 (v911(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6153, 6149])).
% 4.31/4.52 tff(6155,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex1)) | (~v911(constB4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex1)) | (~v911(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6156,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex1)) | (~v911(constB4)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6157,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex1)) | (~v911(constB4))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6156, 6155])).
% 4.31/4.52 tff(6158,plain,
% 4.31/4.52 (~v25(constB4, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6157, 5247, 6154])).
% 4.31/4.52 tff(6159,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex0)) | (~v911(constB4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex0)) | (~v911(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6160,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex0)) | (~v911(constB4)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6161,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex0)) | (~v911(constB4))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6160, 6159])).
% 4.31/4.52 tff(6162,plain,
% 4.31/4.52 (~v25(constB4, bitIndex0)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6161, 5269, 6154])).
% 4.31/4.52 tff(6163,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex2)) | (~v911(constB4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex2)) | (~v911(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6164,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex2)) | (~v911(constB4)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6165,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex2)) | (~v911(constB4))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6164, 6163])).
% 4.31/4.52 tff(6166,plain,
% 4.31/4.52 (~v25(constB4, bitIndex2)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6165, 5291, 6154])).
% 4.31/4.52 tff(6167,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex4)) | (~v911(constB4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex4)) | (~v911(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6168,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex4)) | (~v911(constB4)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6169,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex4)) | (~v911(constB4))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6168, 6167])).
% 4.31/4.52 tff(6170,plain,
% 4.31/4.52 (~v25(constB4, bitIndex4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6169, 5280, 6154])).
% 4.31/4.52 tff(6171,plain,
% 4.31/4.52 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex3)) | (~v911(constB4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex3)) | (~v911(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6172,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB4, bitIndex3)) | (~v911(constB4)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6173,plain,
% 4.31/4.52 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v25(constB4, bitIndex3)) | (~v911(constB4))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6172, 6171])).
% 4.31/4.52 tff(6174,plain,
% 4.31/4.52 (~v25(constB4, bitIndex3)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6173, 5258, 6154])).
% 4.31/4.52 tff(6175,plain,
% 4.31/4.52 (v19(constB4, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5962, 4063, 6145, 6146])).
% 4.31/4.52 tff(6176,plain,
% 4.31/4.52 ((~v19(constB4, bitIndex1)) | v918(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[4115, 747, 6144])).
% 4.31/4.52 tff(6177,plain,
% 4.31/4.52 (v918(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6176, 6175])).
% 4.31/4.52 tff(6178,plain,
% 4.31/4.52 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | (~v918(constB4)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | (~v918(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6179,plain,
% 4.31/4.52 ((v25(constB4, bitIndex1) | v25(constB4, bitIndex0) | v25(constB4, bitIndex2) | v25(constB4, bitIndex3) | v25(constB4, bitIndex4) | (~v918(constB4))) <=> (v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | (~v918(constB4)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6180,plain,
% 4.31/4.52 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB4, bitIndex1) | v25(constB4, bitIndex0) | v25(constB4, bitIndex2) | v25(constB4, bitIndex3) | v25(constB4, bitIndex4) | (~v918(constB4)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | (~v918(constB4))))),
% 4.31/4.52 inference(monotonicity,[status(thm)],[6179])).
% 4.31/4.52 tff(6181,plain,
% 4.31/4.52 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB4, bitIndex1) | v25(constB4, bitIndex0) | v25(constB4, bitIndex2) | v25(constB4, bitIndex3) | v25(constB4, bitIndex4) | (~v918(constB4)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | (~v918(constB4)))),
% 4.31/4.52 inference(transitivity,[status(thm)],[6180, 6178])).
% 4.31/4.52 tff(6182,plain,
% 4.31/4.52 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB4, bitIndex1) | v25(constB4, bitIndex0) | v25(constB4, bitIndex2) | v25(constB4, bitIndex3) | v25(constB4, bitIndex4) | (~v918(constB4)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6183,plain,
% 4.31/4.52 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1) | (~v918(constB4))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6182, 6181])).
% 4.31/4.52 tff(6184,plain,
% 4.31/4.52 (v25(constB4, bitIndex4) | v25(constB4, bitIndex3) | v25(constB4, bitIndex2) | v25(constB4, bitIndex0) | v25(constB4, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6183, 4630, 6177])).
% 4.31/4.52 tff(6185,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6184, 6174, 6170, 6166, 6162, 6158])).
% 4.31/4.52 tff(6186,plain,((~v947(constB4)) | v6(constB4, bitIndex1) | (~v933(constB4))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6187,plain,
% 4.31/4.52 (~v947(constB4)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6186, 6126, 6144])).
% 4.31/4.52 tff(6188,plain,
% 4.31/4.52 (~v949(constB5)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5951, 6187])).
% 4.31/4.52 tff(6189,plain,
% 4.31/4.52 (~v6(constB5, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[5946, 6188])).
% 4.31/4.52 tff(6190,plain,
% 4.31/4.52 ($false),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6189, 6115])).
% 4.31/4.52 tff(6191,plain,((~(constB5 = sK293_VarCurr)) | v6(constB4, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.52 tff(6192,plain,
% 4.31/4.52 (v6(constB4, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6191, 3345])).
% 4.31/4.52 tff(6193,plain,
% 4.31/4.52 (v6(constB3, bitIndex1)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[4107, 6192])).
% 4.31/4.52 tff(6194,plain,
% 4.31/4.52 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB3, bitIndex1)) | v949(constB3) | (~v941(constB3)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB3, bitIndex1)) | v949(constB3) | (~v941(constB3)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6195,plain,
% 4.31/4.52 (((~v6(constB3, bitIndex1)) | (~v941(constB3)) | v949(constB3)) <=> ((~v6(constB3, bitIndex1)) | v949(constB3) | (~v941(constB3)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6196,plain,
% 4.31/4.52 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB3, bitIndex1)) | (~v941(constB3)) | v949(constB3))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB3, bitIndex1)) | v949(constB3) | (~v941(constB3))))),
% 4.31/4.52 inference(monotonicity,[status(thm)],[6195])).
% 4.31/4.52 tff(6197,plain,
% 4.31/4.52 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB3, bitIndex1)) | (~v941(constB3)) | v949(constB3))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB3, bitIndex1)) | v949(constB3) | (~v941(constB3)))),
% 4.31/4.52 inference(transitivity,[status(thm)],[6196, 6194])).
% 4.31/4.52 tff(6198,plain,
% 4.31/4.52 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB3, bitIndex1)) | (~v941(constB3)) | v949(constB3))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6199,plain,
% 4.31/4.52 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB3, bitIndex1)) | v949(constB3) | (~v941(constB3))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6198, 6197])).
% 4.31/4.52 tff(6200,plain,
% 4.31/4.52 ((~v6(constB3, bitIndex1)) | v949(constB3)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6199, 4437, 1772])).
% 4.31/4.52 tff(6201,plain,
% 4.31/4.52 (v949(constB3)),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6200, 6193])).
% 4.31/4.52 tff(6202,plain,
% 4.31/4.52 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB2, constB3)) | v947(constB2) | (~v949(constB3)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB2, constB3)) | v947(constB2) | (~v949(constB3)))),
% 4.31/4.52 inference(rewrite,[status(thm)],[])).
% 4.31/4.52 tff(6203,plain,
% 4.31/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB2, constB3)) | v947(constB2) | (~v949(constB3)))),
% 4.31/4.52 inference(quant_inst,[status(thm)],[])).
% 4.31/4.52 tff(6204,plain,
% 4.31/4.52 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB2, constB3)) | v947(constB2) | (~v949(constB3))),
% 4.31/4.52 inference(modus_ponens,[status(thm)],[6203, 6202])).
% 4.31/4.52 tff(6205,plain,
% 4.31/4.52 (v947(constB2) | (~v949(constB3))),
% 4.31/4.52 inference(unit_resolution,[status(thm)],[6204, 4422, 74])).
% 4.31/4.53 tff(6206,plain,
% 4.31/4.53 (v947(constB2)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6205, 6201])).
% 4.31/4.53 tff(6207,plain,
% 4.31/4.53 (((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB2) | (~v947(constB2)))) <=> ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB2) | (~v947(constB2)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6208,plain,
% 4.31/4.53 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | (v16(constB2) | (~v947(constB2)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6209,plain,
% 4.31/4.53 ((~![VarCurr: $i] : (v16(VarCurr) | (~v947(VarCurr)))) | v16(constB2) | (~v947(constB2))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6208, 6207])).
% 4.31/4.53 tff(6210,plain,
% 4.31/4.53 (v16(constB2)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6209, 1913, 6206])).
% 4.31/4.53 tff(6211,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex0))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6212,plain,
% 4.31/4.53 (((~v16(constB2)) | v19(constB2, bitIndex0) | (~v933(constB2))) <=> ((~v933(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex0))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6213,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB2)) | v19(constB2, bitIndex0) | (~v933(constB2)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex0)))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6212])).
% 4.31/4.53 tff(6214,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB2)) | v19(constB2, bitIndex0) | (~v933(constB2)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex0))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6213, 6211])).
% 4.31/4.53 tff(6215,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB2)) | v19(constB2, bitIndex0) | (~v933(constB2)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6216,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex0)),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6215, 6214])).
% 4.31/4.53 tff(6217,plain,
% 4.31/4.53 ((~v933(constB2)) | v19(constB2, bitIndex0)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6216, 4749, 6210])).
% 4.31/4.53 tff(6218,plain,
% 4.31/4.53 (v19(constB2, bitIndex0)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6217, 6143])).
% 4.31/4.53 tff(6219,assumption,(v947(constB0)), introduced(assumption)).
% 4.31/4.53 tff(6220,plain,
% 4.31/4.53 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | (~v918(constB0)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | (~v918(constB0)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6221,plain,
% 4.31/4.53 ((v25(constB0, bitIndex1) | v25(constB0, bitIndex0) | v25(constB0, bitIndex2) | v25(constB0, bitIndex3) | v25(constB0, bitIndex4) | (~v918(constB0))) <=> (v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | (~v918(constB0)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6222,plain,
% 4.31/4.53 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB0, bitIndex1) | v25(constB0, bitIndex0) | v25(constB0, bitIndex2) | v25(constB0, bitIndex3) | v25(constB0, bitIndex4) | (~v918(constB0)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | (~v918(constB0))))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6221])).
% 4.31/4.53 tff(6223,plain,
% 4.31/4.53 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB0, bitIndex1) | v25(constB0, bitIndex0) | v25(constB0, bitIndex2) | v25(constB0, bitIndex3) | v25(constB0, bitIndex4) | (~v918(constB0)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | (~v918(constB0)))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6222, 6220])).
% 4.31/4.53 tff(6224,plain,
% 4.31/4.53 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB0, bitIndex1) | v25(constB0, bitIndex0) | v25(constB0, bitIndex2) | v25(constB0, bitIndex3) | v25(constB0, bitIndex4) | (~v918(constB0)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6225,plain,
% 4.31/4.53 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | v25(constB0, bitIndex1) | (~v918(constB0))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6224, 6223])).
% 4.31/4.53 tff(6226,plain,
% 4.31/4.53 (v25(constB0, bitIndex4) | v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | (~v918(constB0))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6225, 4630, 1825])).
% 4.31/4.53 tff(6227,plain,
% 4.31/4.53 (v25(constB0, bitIndex3) | v25(constB0, bitIndex2) | v25(constB0, bitIndex0) | (~v918(constB0))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6226, 1821])).
% 4.31/4.53 tff(6228,plain,
% 4.31/4.53 (~v918(constB0)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6227, 1817, 1813, 1809])).
% 4.31/4.53 tff(6229,plain,
% 4.31/4.53 ((~v6(constB0, bitIndex1)) <=> (~v6(constB0, bitIndex1))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6230,axiom,(~v6(constB0, bitIndex1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u10544')).
% 4.31/4.53 tff(6231,plain,
% 4.31/4.53 (~v6(constB0, bitIndex1)),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6230, 6229])).
% 4.31/4.53 tff(6232,plain,
% 4.31/4.53 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB0, bitIndex1) | v918(constB0) | (~v19(constB0, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB0, bitIndex1) | v918(constB0) | (~v19(constB0, bitIndex1)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6233,plain,
% 4.31/4.53 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB0, bitIndex1) | v918(constB0) | (~v19(constB0, bitIndex1)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6234,plain,
% 4.31/4.53 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB0, bitIndex1) | v918(constB0) | (~v19(constB0, bitIndex1))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6233, 6232])).
% 4.31/4.53 tff(6235,plain,
% 4.31/4.53 (v918(constB0) | (~v19(constB0, bitIndex1))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6234, 6231, 747])).
% 4.31/4.53 tff(6236,plain,
% 4.31/4.53 (~v19(constB0, bitIndex1)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6235, 6228])).
% 4.31/4.53 tff(6237,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB0)) | (~v16(constB0)) | v19(constB0, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB0)) | (~v16(constB0)) | v19(constB0, bitIndex1))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6238,plain,
% 4.31/4.53 (((~v16(constB0)) | v19(constB0, bitIndex1) | (~v947(constB0))) <=> ((~v947(constB0)) | (~v16(constB0)) | v19(constB0, bitIndex1))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6239,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB0)) | v19(constB0, bitIndex1) | (~v947(constB0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB0)) | (~v16(constB0)) | v19(constB0, bitIndex1)))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6238])).
% 4.31/4.53 tff(6240,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB0)) | v19(constB0, bitIndex1) | (~v947(constB0)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB0)) | (~v16(constB0)) | v19(constB0, bitIndex1))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6239, 6237])).
% 4.31/4.53 tff(6241,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB0)) | v19(constB0, bitIndex1) | (~v947(constB0)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6242,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB0)) | (~v16(constB0)) | v19(constB0, bitIndex1)),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6241, 6240])).
% 4.31/4.53 tff(6243,plain,
% 4.31/4.53 ((~v947(constB0)) | (~v16(constB0))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6242, 4063, 6236])).
% 4.31/4.53 tff(6244,plain,
% 4.31/4.53 (~v16(constB0)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6243, 6219])).
% 4.31/4.53 tff(6245,plain,
% 4.31/4.53 ($false),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[1916, 1913, 6219, 6244])).
% 4.31/4.53 tff(6246,plain,(~v947(constB0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.53 tff(6247,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB0, constB1)) | v947(constB0) | (~v949(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB0, constB1)) | v947(constB0) | (~v949(constB1)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6248,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB0, constB1)) | v947(constB0) | (~v949(constB1)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6249,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB0, constB1)) | v947(constB0) | (~v949(constB1))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6248, 6247])).
% 4.31/4.53 tff(6250,plain,
% 4.31/4.53 (v947(constB0) | (~v949(constB1))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6249, 4422, 31])).
% 4.31/4.53 tff(6251,plain,
% 4.31/4.53 (~v949(constB1)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6250, 6246])).
% 4.31/4.53 tff(6252,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB0, constB1)) | v944(constB1) | v929(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB0, constB1)) | v944(constB1) | v929(constB1))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6253,plain,
% 4.31/4.53 (((~nextState(constB0, constB1)) | v929(constB1) | v944(constB1)) <=> ((~nextState(constB0, constB1)) | v944(constB1) | v929(constB1))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6254,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB0, constB1)) | v929(constB1) | v944(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB0, constB1)) | v944(constB1) | v929(constB1)))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6253])).
% 4.31/4.53 tff(6255,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB0, constB1)) | v929(constB1) | v944(constB1))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB0, constB1)) | v944(constB1) | v929(constB1))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6254, 6252])).
% 4.31/4.53 tff(6256,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | ((~nextState(constB0, constB1)) | v929(constB1) | v944(constB1))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6257,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v929(VarNext) | v944(VarNext))) | (~nextState(constB0, constB1)) | v944(constB1) | v929(constB1)),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6256, 6255])).
% 4.31/4.53 tff(6258,plain,
% 4.31/4.53 (v944(constB1) | v929(constB1)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6257, 181, 31])).
% 4.31/4.53 tff(6259,plain,
% 4.31/4.53 (v944(constB1)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6258, 1930])).
% 4.31/4.53 tff(6260,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB0, constB1)) | v942(constB1) | (~v1(constB1)) | (~v944(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB0, constB1)) | v942(constB1) | (~v1(constB1)) | (~v944(constB1)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6261,plain,
% 4.31/4.53 (((~nextState(constB0, constB1)) | (~v1(constB1)) | v942(constB1) | (~v944(constB1))) <=> ((~nextState(constB0, constB1)) | v942(constB1) | (~v1(constB1)) | (~v944(constB1)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6262,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB0, constB1)) | (~v1(constB1)) | v942(constB1) | (~v944(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB0, constB1)) | v942(constB1) | (~v1(constB1)) | (~v944(constB1))))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6261])).
% 4.31/4.53 tff(6263,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB0, constB1)) | (~v1(constB1)) | v942(constB1) | (~v944(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB0, constB1)) | v942(constB1) | (~v1(constB1)) | (~v944(constB1)))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6262, 6260])).
% 4.31/4.53 tff(6264,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | ((~nextState(constB0, constB1)) | (~v1(constB1)) | v942(constB1) | (~v944(constB1)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6265,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v942(VarNext) | (~v944(VarNext)))) | (~nextState(constB0, constB1)) | v942(constB1) | (~v1(constB1)) | (~v944(constB1))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6264, 6263])).
% 4.31/4.53 tff(6266,plain,
% 4.31/4.53 (v942(constB1) | (~v944(constB1))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6265, 206, 31, 51])).
% 4.31/4.53 tff(6267,plain,
% 4.31/4.53 (v942(constB1)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6266, 6259])).
% 4.31/4.53 tff(6268,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB0, constB1)) | v941(constB1) | (~v942(constB1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB0, constB1)) | v941(constB1) | (~v942(constB1)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6269,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | ((~nextState(constB0, constB1)) | v941(constB1) | (~v942(constB1)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6270,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v941(VarNext) | (~v942(VarNext)))) | (~nextState(constB0, constB1)) | v941(constB1) | (~v942(constB1))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6269, 6268])).
% 4.31/4.53 tff(6271,plain,
% 4.31/4.53 (v941(constB1) | (~v942(constB1))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6270, 224, 31])).
% 4.31/4.53 tff(6272,plain,
% 4.31/4.53 (v941(constB1)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6271, 6267])).
% 4.31/4.53 tff(6273,plain,
% 4.31/4.53 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB1, bitIndex1)) | v949(constB1) | (~v941(constB1)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB1, bitIndex1)) | v949(constB1) | (~v941(constB1)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6274,plain,
% 4.31/4.53 (((~v6(constB1, bitIndex1)) | (~v941(constB1)) | v949(constB1)) <=> ((~v6(constB1, bitIndex1)) | v949(constB1) | (~v941(constB1)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6275,plain,
% 4.31/4.53 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB1, bitIndex1)) | (~v941(constB1)) | v949(constB1))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB1, bitIndex1)) | v949(constB1) | (~v941(constB1))))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6274])).
% 4.31/4.53 tff(6276,plain,
% 4.31/4.53 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB1, bitIndex1)) | (~v941(constB1)) | v949(constB1))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB1, bitIndex1)) | v949(constB1) | (~v941(constB1)))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6275, 6273])).
% 4.31/4.53 tff(6277,plain,
% 4.31/4.53 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB1, bitIndex1)) | (~v941(constB1)) | v949(constB1))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6278,plain,
% 4.31/4.53 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB1, bitIndex1)) | v949(constB1) | (~v941(constB1))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6277, 6276])).
% 4.31/4.53 tff(6279,plain,
% 4.31/4.53 ((~v6(constB1, bitIndex1)) | v949(constB1)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6278, 4437, 6272])).
% 4.31/4.53 tff(6280,plain,
% 4.31/4.53 (~v6(constB1, bitIndex1)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6279, 6251])).
% 4.31/4.53 tff(6281,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB1, constB2)) | v1(constB2) | (~v942(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB1, constB2)) | v1(constB2) | (~v942(constB2)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6282,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | ((~nextState(constB1, constB2)) | v1(constB2) | (~v942(constB2)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6283,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v942(VarNext)))) | (~nextState(constB1, constB2)) | v1(constB2) | (~v942(constB2))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6282, 6281])).
% 4.31/4.53 tff(6284,plain,
% 4.31/4.53 (~v942(constB2)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6283, 696, 54, 71])).
% 4.31/4.53 tff(6285,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB1, constB2)) | v942(constB2) | (~v941(constB2)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB1, constB2)) | v942(constB2) | (~v941(constB2)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6286,plain,
% 4.31/4.53 (((~nextState(constB1, constB2)) | (~v941(constB2)) | v942(constB2)) <=> ((~nextState(constB1, constB2)) | v942(constB2) | (~v941(constB2)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6287,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB1, constB2)) | (~v941(constB2)) | v942(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB1, constB2)) | v942(constB2) | (~v941(constB2))))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6286])).
% 4.31/4.53 tff(6288,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB1, constB2)) | (~v941(constB2)) | v942(constB2))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB1, constB2)) | v942(constB2) | (~v941(constB2)))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6287, 6285])).
% 4.31/4.53 tff(6289,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | ((~nextState(constB1, constB2)) | (~v941(constB2)) | v942(constB2))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6290,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v941(VarNext)) | v942(VarNext))) | (~nextState(constB1, constB2)) | v942(constB2) | (~v941(constB2))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6289, 6288])).
% 4.31/4.53 tff(6291,plain,
% 4.31/4.53 (v942(constB2) | (~v941(constB2))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6290, 710, 54])).
% 4.31/4.53 tff(6292,plain,
% 4.31/4.53 (~v941(constB2)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6291, 6284])).
% 4.31/4.53 tff(6293,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v941(constB2) | (~v6(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v941(constB2) | (~v6(constB2, bitIndex1)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6294,plain,
% 4.31/4.53 (((~nextState(constB1, constB2)) | v6(constB1, bitIndex1) | v941(constB2) | (~v6(constB2, bitIndex1))) <=> (v6(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v941(constB2) | (~v6(constB2, bitIndex1)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6295,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v6(constB1, bitIndex1) | v941(constB2) | (~v6(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v941(constB2) | (~v6(constB2, bitIndex1))))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6294])).
% 4.31/4.53 tff(6296,plain,
% 4.31/4.53 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v6(constB1, bitIndex1) | v941(constB2) | (~v6(constB2, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v941(constB2) | (~v6(constB2, bitIndex1)))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6295, 6293])).
% 4.31/4.53 tff(6297,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB1, constB2)) | v6(constB1, bitIndex1) | v941(constB2) | (~v6(constB2, bitIndex1)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6298,plain,
% 4.31/4.53 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB1, bitIndex1) | (~nextState(constB1, constB2)) | v941(constB2) | (~v6(constB2, bitIndex1))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6297, 6296])).
% 4.31/4.53 tff(6299,plain,
% 4.31/4.53 (v6(constB1, bitIndex1) | v941(constB2) | (~v6(constB2, bitIndex1))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6298, 2242, 54])).
% 4.31/4.53 tff(6300,plain,
% 4.31/4.53 (v6(constB1, bitIndex1) | (~v6(constB2, bitIndex1))),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6299, 6292])).
% 4.31/4.53 tff(6301,plain,
% 4.31/4.53 (~v6(constB2, bitIndex1)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6300, 6280])).
% 4.31/4.53 tff(6302,plain,
% 4.31/4.53 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB2, bitIndex1) | (~v19(constB2, bitIndex0)) | v911(constB2))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB2, bitIndex1) | (~v19(constB2, bitIndex0)) | v911(constB2))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6303,plain,
% 4.31/4.53 ((v6(constB2, bitIndex1) | v911(constB2) | (~v19(constB2, bitIndex0))) <=> (v6(constB2, bitIndex1) | (~v19(constB2, bitIndex0)) | v911(constB2))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6304,plain,
% 4.31/4.53 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB2, bitIndex1) | v911(constB2) | (~v19(constB2, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB2, bitIndex1) | (~v19(constB2, bitIndex0)) | v911(constB2)))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6303])).
% 4.31/4.53 tff(6305,plain,
% 4.31/4.53 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB2, bitIndex1) | v911(constB2) | (~v19(constB2, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB2, bitIndex1) | (~v19(constB2, bitIndex0)) | v911(constB2))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6304, 6302])).
% 4.31/4.53 tff(6306,plain,
% 4.31/4.53 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB2, bitIndex1) | v911(constB2) | (~v19(constB2, bitIndex0)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6307,plain,
% 4.31/4.53 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB2, bitIndex1) | (~v19(constB2, bitIndex0)) | v911(constB2)),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6306, 6305])).
% 4.31/4.53 tff(6308,plain,
% 4.31/4.53 ((~v19(constB2, bitIndex0)) | v911(constB2)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6307, 2111, 6301])).
% 4.31/4.53 tff(6309,plain,
% 4.31/4.53 (v911(constB2)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6308, 6218])).
% 4.31/4.53 tff(6310,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex3)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6311,plain,
% 4.31/4.53 (((~v25(constB2, bitIndex3)) | (~v911(constB2))) <=> ((~v911(constB2)) | (~v25(constB2, bitIndex3)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6312,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex3)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex3))))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6311])).
% 4.31/4.53 tff(6313,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex3)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex3)))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6312, 6310])).
% 4.31/4.53 tff(6314,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex3)) | (~v911(constB2)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6315,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex3))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6314, 6313])).
% 4.31/4.53 tff(6316,plain,
% 4.31/4.53 (~v25(constB2, bitIndex3)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6315, 5258, 6309])).
% 4.31/4.53 tff(6317,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex4)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6318,plain,
% 4.31/4.53 (((~v25(constB2, bitIndex4)) | (~v911(constB2))) <=> ((~v911(constB2)) | (~v25(constB2, bitIndex4)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6319,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex4)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex4))))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6318])).
% 4.31/4.53 tff(6320,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex4)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex4)))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6319, 6317])).
% 4.31/4.53 tff(6321,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex4)) | (~v911(constB2)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6322,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex4))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6321, 6320])).
% 4.31/4.53 tff(6323,plain,
% 4.31/4.53 (~v25(constB2, bitIndex4)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6322, 5280, 6309])).
% 4.31/4.53 tff(6324,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex2)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6325,plain,
% 4.31/4.53 (((~v25(constB2, bitIndex2)) | (~v911(constB2))) <=> ((~v911(constB2)) | (~v25(constB2, bitIndex2)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6326,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex2)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex2))))),
% 4.31/4.53 inference(monotonicity,[status(thm)],[6325])).
% 4.31/4.53 tff(6327,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex2)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex2)))),
% 4.31/4.53 inference(transitivity,[status(thm)],[6326, 6324])).
% 4.31/4.53 tff(6328,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex2)) | (~v911(constB2)))),
% 4.31/4.53 inference(quant_inst,[status(thm)],[])).
% 4.31/4.53 tff(6329,plain,
% 4.31/4.53 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex2))),
% 4.31/4.53 inference(modus_ponens,[status(thm)],[6328, 6327])).
% 4.31/4.53 tff(6330,plain,
% 4.31/4.53 (~v25(constB2, bitIndex2)),
% 4.31/4.53 inference(unit_resolution,[status(thm)],[6329, 5291, 6309])).
% 4.31/4.53 tff(6331,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex0)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6332,plain,
% 4.31/4.53 (((~v25(constB2, bitIndex0)) | (~v911(constB2))) <=> ((~v911(constB2)) | (~v25(constB2, bitIndex0)))),
% 4.31/4.53 inference(rewrite,[status(thm)],[])).
% 4.31/4.53 tff(6333,plain,
% 4.31/4.53 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex0)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex0))))),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6332])).
% 4.31/4.54 tff(6334,plain,
% 4.31/4.54 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex0)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex0)))),
% 4.31/4.54 inference(transitivity,[status(thm)],[6333, 6331])).
% 4.31/4.54 tff(6335,plain,
% 4.31/4.54 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex0)) | (~v911(constB2)))),
% 4.31/4.54 inference(quant_inst,[status(thm)],[])).
% 4.31/4.54 tff(6336,plain,
% 4.31/4.54 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex0))),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6335, 6334])).
% 4.31/4.54 tff(6337,plain,
% 4.31/4.54 (~v25(constB2, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6336, 5269, 6309])).
% 4.31/4.54 tff(6338,plain,
% 4.31/4.54 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex1)))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6339,plain,
% 4.31/4.54 (((~v25(constB2, bitIndex1)) | (~v911(constB2))) <=> ((~v911(constB2)) | (~v25(constB2, bitIndex1)))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6340,plain,
% 4.31/4.54 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex1)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB2)) | (~v25(constB2, bitIndex1))))),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6339])).
% 4.31/4.54 tff(6341,plain,
% 4.31/4.54 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex1)) | (~v911(constB2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex1)))),
% 4.31/4.54 inference(transitivity,[status(thm)],[6340, 6338])).
% 4.31/4.54 tff(6342,plain,
% 4.31/4.54 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB2, bitIndex1)) | (~v911(constB2)))),
% 4.31/4.54 inference(quant_inst,[status(thm)],[])).
% 4.31/4.54 tff(6343,plain,
% 4.31/4.54 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB2)) | (~v25(constB2, bitIndex1))),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6342, 6341])).
% 4.31/4.54 tff(6344,plain,
% 4.31/4.54 (~v25(constB2, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6343, 5247, 6309])).
% 4.31/4.54 tff(6345,plain,
% 4.31/4.54 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex1))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex1))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6346,plain,
% 4.31/4.54 (((~v16(constB2)) | v19(constB2, bitIndex1) | (~v947(constB2))) <=> ((~v947(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex1))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6347,plain,
% 4.31/4.54 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB2)) | v19(constB2, bitIndex1) | (~v947(constB2)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v947(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex1)))),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6346])).
% 4.31/4.54 tff(6348,plain,
% 4.31/4.54 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB2)) | v19(constB2, bitIndex1) | (~v947(constB2)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex1))),
% 4.31/4.54 inference(transitivity,[status(thm)],[6347, 6345])).
% 4.31/4.54 tff(6349,plain,
% 4.31/4.54 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | ((~v16(constB2)) | v19(constB2, bitIndex1) | (~v947(constB2)))),
% 4.31/4.54 inference(quant_inst,[status(thm)],[])).
% 4.31/4.54 tff(6350,plain,
% 4.31/4.54 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex1) | (~v947(VarCurr)))) | (~v947(constB2)) | (~v16(constB2)) | v19(constB2, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6349, 6348])).
% 4.31/4.54 tff(6351,plain,
% 4.31/4.54 (v19(constB2, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6350, 4063, 6206, 6210])).
% 4.31/4.54 tff(6352,plain,
% 4.31/4.54 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB2, bitIndex1) | (~v19(constB2, bitIndex1)) | v918(constB2))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB2, bitIndex1) | (~v19(constB2, bitIndex1)) | v918(constB2))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6353,plain,
% 4.31/4.54 ((v6(constB2, bitIndex1) | v918(constB2) | (~v19(constB2, bitIndex1))) <=> (v6(constB2, bitIndex1) | (~v19(constB2, bitIndex1)) | v918(constB2))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6354,plain,
% 4.31/4.54 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB2, bitIndex1) | v918(constB2) | (~v19(constB2, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB2, bitIndex1) | (~v19(constB2, bitIndex1)) | v918(constB2)))),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6353])).
% 4.31/4.54 tff(6355,plain,
% 4.31/4.54 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB2, bitIndex1) | v918(constB2) | (~v19(constB2, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB2, bitIndex1) | (~v19(constB2, bitIndex1)) | v918(constB2))),
% 4.31/4.54 inference(transitivity,[status(thm)],[6354, 6352])).
% 4.31/4.54 tff(6356,plain,
% 4.31/4.54 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB2, bitIndex1) | v918(constB2) | (~v19(constB2, bitIndex1)))),
% 4.31/4.54 inference(quant_inst,[status(thm)],[])).
% 4.31/4.54 tff(6357,plain,
% 4.31/4.54 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB2, bitIndex1) | (~v19(constB2, bitIndex1)) | v918(constB2)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6356, 6355])).
% 4.31/4.54 tff(6358,plain,
% 4.31/4.54 ((~v19(constB2, bitIndex1)) | v918(constB2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6357, 747, 6301])).
% 4.31/4.54 tff(6359,plain,
% 4.31/4.54 (v918(constB2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6358, 6351])).
% 4.31/4.54 tff(6360,plain,
% 4.31/4.54 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4) | (~v918(constB2)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4) | (~v918(constB2)))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6361,plain,
% 4.31/4.54 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4) | (~v918(constB2)))),
% 4.31/4.54 inference(quant_inst,[status(thm)],[])).
% 4.31/4.54 tff(6362,plain,
% 4.31/4.54 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4) | (~v918(constB2))),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6361, 6360])).
% 4.31/4.54 tff(6363,plain,
% 4.31/4.54 (v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6362, 4630, 6359])).
% 4.31/4.54 tff(6364,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6363, 6344, 6337, 6330, 6323, 6316])).
% 4.31/4.54 tff(6365,plain,(~(constB5 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6366,plain,
% 4.31/4.54 (v6(constB11, bitIndex0)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5213, 264])).
% 4.31/4.54 tff(6367,assumption,(~v6(constB11, bitIndex0)), introduced(assumption)).
% 4.31/4.54 tff(6368,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6367, 6366])).
% 4.31/4.54 tff(6369,plain,((~(constB11 = sK293_VarCurr)) | v6(constB11, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6370,plain,
% 4.31/4.54 (~(constB11 = sK293_VarCurr)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6369, 5187])).
% 4.31/4.54 tff(6371,plain,
% 4.31/4.54 (v6(constB12, bitIndex0)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5213, 3911])).
% 4.31/4.54 tff(6372,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5186, 6371])).
% 4.31/4.54 tff(6373,plain,((~(constB12 = sK293_VarCurr)) | v6(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6374,plain,
% 4.31/4.54 (~(constB12 = sK293_VarCurr)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6373, 5186])).
% 4.31/4.54 tff(6375,assumption,(~v6(constB17, bitIndex1)), introduced(assumption)).
% 4.31/4.54 tff(6376,plain,
% 4.31/4.54 (v6(constB8, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5182, 4161])).
% 4.31/4.54 tff(6377,plain,
% 4.31/4.54 (v6(constB7, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[4453, 6376])).
% 4.31/4.54 tff(6378,plain,
% 4.31/4.54 (v949(constB7)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[4444, 6377])).
% 4.31/4.54 tff(6379,plain,
% 4.31/4.54 (v947(constB6)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[4426, 6378])).
% 4.31/4.54 tff(6380,plain,
% 4.31/4.54 (v16(constB6)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5794, 1913, 6379])).
% 4.31/4.54 tff(6381,plain,
% 4.31/4.54 (v19(constB6, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[4069, 4063, 6379, 6380])).
% 4.31/4.54 tff(6382,plain,
% 4.31/4.54 (v6(constB8, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.31/4.54 inference(monotonicity,[status(thm)],[4159])).
% 4.31/4.54 tff(6383,plain,
% 4.31/4.54 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB8, bitIndex0)),
% 4.31/4.54 inference(symmetry,[status(thm)],[6382])).
% 4.31/4.54 tff(6384,plain,
% 4.31/4.54 (v6(constB8, bitIndex0)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5213, 6383])).
% 4.31/4.54 tff(6385,plain,
% 4.31/4.54 (v6(constB7, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[4791, 6384])).
% 4.31/4.54 tff(6386,plain,
% 4.31/4.54 (v935(constB7)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5883, 6385])).
% 4.31/4.54 tff(6387,plain,
% 4.31/4.54 (v933(constB6)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5888, 6386])).
% 4.31/4.54 tff(6388,plain,
% 4.31/4.54 (v19(constB6, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5902, 4749, 6387, 6380])).
% 4.31/4.54 tff(6389,plain,
% 4.31/4.54 (v6(constB6, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5937, 6388, 6381])).
% 4.31/4.54 tff(6390,plain,
% 4.31/4.54 (v6(constB5, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[3378, 6389])).
% 4.31/4.54 tff(6391,plain,
% 4.31/4.54 (v949(constB5)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5946, 6390])).
% 4.31/4.54 tff(6392,plain,
% 4.31/4.54 (v947(constB4)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5951, 6391])).
% 4.31/4.54 tff(6393,plain,
% 4.31/4.54 (v16(constB4)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5955, 1913, 6392])).
% 4.31/4.54 tff(6394,plain,
% 4.31/4.54 (v19(constB4, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5962, 4063, 6392, 6393])).
% 4.31/4.54 tff(6395,plain,
% 4.31/4.54 (v6(constB6, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5980, 6388, 6381])).
% 4.31/4.54 tff(6396,plain,
% 4.31/4.54 (v6(constB5, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[3361, 6395])).
% 4.31/4.54 tff(6397,plain,
% 4.31/4.54 (v935(constB5)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5989, 6396])).
% 4.31/4.54 tff(6398,plain,
% 4.31/4.54 (v933(constB4)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5994, 6397])).
% 4.31/4.54 tff(6399,plain,
% 4.31/4.54 ((~v16(constB4)) | v19(constB4, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6001, 4749, 6398])).
% 4.31/4.54 tff(6400,plain,
% 4.31/4.54 (v19(constB4, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6399, 6393])).
% 4.31/4.54 tff(6401,plain,
% 4.31/4.54 (v6(constB4, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6022, 6400, 6394])).
% 4.31/4.54 tff(6402,plain,
% 4.31/4.54 (v6(constB3, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[4094, 6401])).
% 4.31/4.54 tff(6403,plain,
% 4.31/4.54 (v935(constB3)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6137, 6402])).
% 4.31/4.54 tff(6404,plain,
% 4.31/4.54 (v933(constB2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6142, 6403])).
% 4.31/4.54 tff(6405,plain,
% 4.31/4.54 (v6(constB4, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6186, 6392, 6398])).
% 4.31/4.54 tff(6406,plain,
% 4.31/4.54 (v6(constB3, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[4107, 6405])).
% 4.31/4.54 tff(6407,plain,
% 4.31/4.54 (v949(constB3)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6200, 6406])).
% 4.31/4.54 tff(6408,plain,
% 4.31/4.54 (v947(constB2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6205, 6407])).
% 4.31/4.54 tff(6409,plain,
% 4.31/4.54 (v16(constB2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6209, 1913, 6408])).
% 4.31/4.54 tff(6410,plain,
% 4.31/4.54 ((~v933(constB2)) | v19(constB2, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6216, 4749, 6409])).
% 4.31/4.54 tff(6411,plain,
% 4.31/4.54 (v19(constB2, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6410, 6404])).
% 4.31/4.54 tff(6412,plain,
% 4.31/4.54 (v911(constB2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6308, 6411])).
% 4.31/4.54 tff(6413,plain,
% 4.31/4.54 (~v25(constB2, bitIndex3)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6315, 5258, 6412])).
% 4.31/4.54 tff(6414,plain,
% 4.31/4.54 (~v25(constB2, bitIndex4)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6322, 5280, 6412])).
% 4.31/4.54 tff(6415,plain,
% 4.31/4.54 (~v25(constB2, bitIndex2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6329, 5291, 6412])).
% 4.31/4.54 tff(6416,plain,
% 4.31/4.54 (~v25(constB2, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6336, 5269, 6412])).
% 4.31/4.54 tff(6417,plain,
% 4.31/4.54 (~v25(constB2, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6343, 5247, 6412])).
% 4.31/4.54 tff(6418,plain,
% 4.31/4.54 (v19(constB2, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6350, 4063, 6408, 6409])).
% 4.31/4.54 tff(6419,plain,
% 4.31/4.54 (v918(constB2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6358, 6418])).
% 4.31/4.54 tff(6420,plain,
% 4.31/4.54 (v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6362, 4630, 6419])).
% 4.31/4.54 tff(6421,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6420, 6417, 6416, 6415, 6414, 6413])).
% 4.31/4.54 tff(6422,plain,(~(constB8 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6423,plain,
% 4.31/4.54 (v6(constB2, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.31/4.54 inference(monotonicity,[status(thm)],[3968])).
% 4.31/4.54 tff(6424,plain,
% 4.31/4.54 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB2, bitIndex1)),
% 4.31/4.54 inference(symmetry,[status(thm)],[6423])).
% 4.31/4.54 tff(6425,assumption,(v6(sK293_VarCurr, bitIndex1)), introduced(assumption)).
% 4.31/4.54 tff(6426,plain,
% 4.31/4.54 (v6(constB2, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6425, 6424])).
% 4.31/4.54 tff(6427,assumption,(~v6(constB2, bitIndex1)), introduced(assumption)).
% 4.31/4.54 tff(6428,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6427, 6426])).
% 4.31/4.54 tff(6429,plain,((~(constB2 = sK293_VarCurr)) | v6(constB2, bitIndex1) | (~v6(sK293_VarCurr, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6430,plain,
% 4.31/4.54 ((~(constB2 = sK293_VarCurr)) | v6(constB2, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6429, 5182])).
% 4.31/4.54 tff(6431,plain,
% 4.31/4.54 (~(constB2 = sK293_VarCurr)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6430, 6301])).
% 4.31/4.54 tff(6432,plain,
% 4.31/4.54 (v6(constB1, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.31/4.54 inference(monotonicity,[status(thm)],[3952])).
% 4.31/4.54 tff(6433,plain,
% 4.31/4.54 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB1, bitIndex1)),
% 4.31/4.54 inference(symmetry,[status(thm)],[6432])).
% 4.31/4.54 tff(6434,plain,
% 4.31/4.54 (v6(constB1, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6425, 6433])).
% 4.31/4.54 tff(6435,assumption,(~v6(constB1, bitIndex1)), introduced(assumption)).
% 4.31/4.54 tff(6436,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6435, 6434])).
% 4.31/4.54 tff(6437,plain,((~(constB1 = sK293_VarCurr)) | v6(constB1, bitIndex1) | (~v6(sK293_VarCurr, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6438,plain,
% 4.31/4.54 ((~(constB1 = sK293_VarCurr)) | v6(constB1, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6437, 5182])).
% 4.31/4.54 tff(6439,plain,
% 4.31/4.54 (~(constB1 = sK293_VarCurr)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6438, 6280])).
% 4.31/4.54 tff(6440,plain,
% 4.31/4.54 (v6(constB17, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5182, 4018])).
% 4.31/4.54 tff(6441,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6375, 6440])).
% 4.31/4.54 tff(6442,plain,((~(constB17 = sK293_VarCurr)) | v6(constB17, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6443,plain,
% 4.31/4.54 (~(constB17 = sK293_VarCurr)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6442, 6375])).
% 4.31/4.54 tff(6444,plain,
% 4.31/4.54 (v6(constB0, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.31/4.54 inference(monotonicity,[status(thm)],[3960])).
% 4.31/4.54 tff(6445,plain,
% 4.31/4.54 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB0, bitIndex1)),
% 4.31/4.54 inference(symmetry,[status(thm)],[6444])).
% 4.31/4.54 tff(6446,plain,
% 4.31/4.54 (v6(constB0, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6425, 6445])).
% 4.31/4.54 tff(6447,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6231, 6446])).
% 4.31/4.54 tff(6448,plain,((~(constB0 = sK293_VarCurr)) | (~v6(sK293_VarCurr, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6449,plain,
% 4.31/4.54 (~(constB0 = sK293_VarCurr)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6448, 5182])).
% 4.31/4.54 tff(6450,plain,
% 4.31/4.54 ((constB1 = sK293_VarCurr) | (constB2 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB8 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB17 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB20 = sK293_VarCurr)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[4009, 6449])).
% 4.31/4.54 tff(6451,plain,
% 4.31/4.54 (constB20 = sK293_VarCurr),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6450, 6443, 6439, 6431, 6422, 3423, 3878, 3917, 3426, 3877, 3950, 2180, 3424, 3268, 2181, 2090, 3267, 4015, 3951, 3876])).
% 4.31/4.54 tff(6452,plain,
% 4.31/4.54 (v6(constB20, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6451])).
% 4.31/4.54 tff(6453,plain,
% 4.31/4.54 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB20, bitIndex1)),
% 4.31/4.54 inference(symmetry,[status(thm)],[6452])).
% 4.31/4.54 tff(6454,plain,
% 4.31/4.54 (v6(constB20, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5182, 6453])).
% 4.31/4.54 tff(6455,plain,
% 4.31/4.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v941(constB20) | (~v6(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v941(constB20) | (~v6(constB20, bitIndex1)))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6456,plain,
% 4.31/4.54 (((~nextState(constB19, constB20)) | v6(constB19, bitIndex1) | v941(constB20) | (~v6(constB20, bitIndex1))) <=> (v6(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v941(constB20) | (~v6(constB20, bitIndex1)))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6457,plain,
% 4.31/4.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v6(constB19, bitIndex1) | v941(constB20) | (~v6(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v941(constB20) | (~v6(constB20, bitIndex1))))),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6456])).
% 4.31/4.54 tff(6458,plain,
% 4.31/4.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v6(constB19, bitIndex1) | v941(constB20) | (~v6(constB20, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v941(constB20) | (~v6(constB20, bitIndex1)))),
% 4.31/4.54 inference(transitivity,[status(thm)],[6457, 6455])).
% 4.31/4.54 tff(6459,plain,
% 4.31/4.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB19, constB20)) | v6(constB19, bitIndex1) | v941(constB20) | (~v6(constB20, bitIndex1)))),
% 4.31/4.54 inference(quant_inst,[status(thm)],[])).
% 4.31/4.54 tff(6460,plain,
% 4.31/4.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB19, bitIndex1) | (~nextState(constB19, constB20)) | v941(constB20) | (~v6(constB20, bitIndex1))),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6459, 6458])).
% 4.31/4.54 tff(6461,plain,
% 4.31/4.54 (v6(constB19, bitIndex1) | v941(constB20) | (~v6(constB20, bitIndex1))),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6460, 2242, 3280])).
% 4.31/4.54 tff(6462,plain,
% 4.31/4.54 (v6(constB19, bitIndex1) | (~v6(constB20, bitIndex1))),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6461, 3330])).
% 4.31/4.54 tff(6463,plain,
% 4.31/4.54 (v6(constB19, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6462, 6454])).
% 4.31/4.54 tff(6464,plain,
% 4.31/4.54 (v949(constB19)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5201, 6463])).
% 4.31/4.54 tff(6465,plain,
% 4.31/4.54 (v947(constB18)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5206, 6464])).
% 4.31/4.54 tff(6466,plain,
% 4.31/4.54 (v16(constB18)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5210, 1913, 6465])).
% 4.31/4.54 tff(6467,plain,
% 4.31/4.54 (v6(constB20, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6451])).
% 4.31/4.54 tff(6468,plain,
% 4.31/4.54 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB20, bitIndex0)),
% 4.31/4.54 inference(symmetry,[status(thm)],[6467])).
% 4.31/4.54 tff(6469,plain,
% 4.31/4.54 (v6(constB20, bitIndex0)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5213, 6468])).
% 4.31/4.54 tff(6470,plain,
% 4.31/4.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v925(constB20) | (~v6(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v925(constB20) | (~v6(constB20, bitIndex0)))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6471,plain,
% 4.31/4.54 (((~nextState(constB19, constB20)) | v6(constB19, bitIndex0) | v925(constB20) | (~v6(constB20, bitIndex0))) <=> (v6(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v925(constB20) | (~v6(constB20, bitIndex0)))),
% 4.31/4.54 inference(rewrite,[status(thm)],[])).
% 4.31/4.54 tff(6472,plain,
% 4.31/4.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v6(constB19, bitIndex0) | v925(constB20) | (~v6(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v925(constB20) | (~v6(constB20, bitIndex0))))),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6471])).
% 4.31/4.54 tff(6473,plain,
% 4.31/4.54 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v6(constB19, bitIndex0) | v925(constB20) | (~v6(constB20, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v925(constB20) | (~v6(constB20, bitIndex0)))),
% 4.31/4.54 inference(transitivity,[status(thm)],[6472, 6470])).
% 4.31/4.54 tff(6474,plain,
% 4.31/4.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB19, constB20)) | v6(constB19, bitIndex0) | v925(constB20) | (~v6(constB20, bitIndex0)))),
% 4.31/4.54 inference(quant_inst,[status(thm)],[])).
% 4.31/4.54 tff(6475,plain,
% 4.31/4.54 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB19, bitIndex0) | (~nextState(constB19, constB20)) | v925(constB20) | (~v6(constB20, bitIndex0))),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6474, 6473])).
% 4.31/4.54 tff(6476,plain,
% 4.31/4.54 (v6(constB19, bitIndex0) | v925(constB20) | (~v6(constB20, bitIndex0))),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6475, 2219, 3280])).
% 4.31/4.54 tff(6477,plain,
% 4.31/4.54 (v6(constB19, bitIndex0) | (~v6(constB20, bitIndex0))),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6476, 3299])).
% 4.31/4.54 tff(6478,plain,
% 4.31/4.54 (v6(constB19, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6477, 6469])).
% 4.31/4.54 tff(6479,plain,
% 4.31/4.54 (v935(constB19)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5221, 6478])).
% 4.31/4.54 tff(6480,plain,
% 4.31/4.54 (v933(constB18)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5226, 6479])).
% 4.31/4.54 tff(6481,plain,
% 4.31/4.54 (v19(constB18, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5233, 4749, 6480, 6466])).
% 4.31/4.54 tff(6482,plain,
% 4.31/4.54 (~v6(constB18, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5325, 6375])).
% 4.31/4.54 tff(6483,plain,
% 4.31/4.54 (v911(constB18) | (~v19(constB18, bitIndex0))),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5238, 2111, 6482])).
% 4.31/4.54 tff(6484,plain,
% 4.31/4.54 (v911(constB18)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6483, 6481])).
% 4.31/4.54 tff(6485,plain,
% 4.31/4.54 (~v25(constB18, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5250, 5247, 6484])).
% 4.31/4.54 tff(6486,plain,
% 4.31/4.54 (~v25(constB18, bitIndex3)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5261, 5258, 6484])).
% 4.31/4.54 tff(6487,plain,
% 4.31/4.54 (~v25(constB18, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5272, 5269, 6484])).
% 4.31/4.54 tff(6488,plain,
% 4.31/4.54 (~v25(constB18, bitIndex4)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5283, 5280, 6484])).
% 4.31/4.54 tff(6489,plain,
% 4.31/4.54 (~v25(constB18, bitIndex2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5294, 5291, 6484])).
% 4.31/4.54 tff(6490,plain,
% 4.31/4.54 (v19(constB18, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5301, 4063, 6465, 6466])).
% 4.31/4.54 tff(6491,plain,
% 4.31/4.54 (v918(constB18) | (~v19(constB18, bitIndex1))),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5305, 747, 6482])).
% 4.31/4.54 tff(6492,plain,
% 4.31/4.54 (v918(constB18)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6491, 6490])).
% 4.31/4.54 tff(6493,plain,
% 4.31/4.54 (v25(constB18, bitIndex4) | v25(constB18, bitIndex3) | v25(constB18, bitIndex2) | v25(constB18, bitIndex0) | v25(constB18, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5313, 4630, 6492])).
% 4.31/4.54 tff(6494,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6493, 6489, 6488, 6487, 6486, 6485])).
% 4.31/4.54 tff(6495,plain,(v6(constB17, bitIndex1) | (constB6 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB10 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6496,plain,
% 4.31/4.54 (constB18 = sK293_VarCurr),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6495, 6375, 3878, 3917, 3426, 3951, 3950, 3877, 2180, 3424, 2181, 2090, 3267, 3268, 3423, 3876])).
% 4.31/4.54 tff(6497,plain,
% 4.31/4.54 (v6(constB18, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6496])).
% 4.31/4.54 tff(6498,plain,
% 4.31/4.54 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB18, bitIndex1)),
% 4.31/4.54 inference(symmetry,[status(thm)],[6497])).
% 4.31/4.54 tff(6499,plain,
% 4.31/4.54 (v6(constB18, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5182, 6498])).
% 4.31/4.54 tff(6500,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6482, 6499])).
% 4.31/4.54 tff(6501,plain,(v6(constB17, bitIndex1) | (constB16 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB10 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6502,plain,
% 4.31/4.54 (v6(constB17, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6501, 3423, 3267, 3876, 2180, 3426, 6374, 3424, 6370, 5765, 2090, 3877, 3878, 3917, 3268])).
% 4.31/4.54 tff(6503,plain,
% 4.31/4.54 (v949(constB17)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5333, 6502])).
% 4.31/4.54 tff(6504,plain,
% 4.31/4.54 (v947(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5338, 6503])).
% 4.31/4.54 tff(6505,plain,
% 4.31/4.54 (v19(constB16, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5353, 6504])).
% 4.31/4.54 tff(6506,plain,
% 4.31/4.54 (v6(constB18, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5182, 4031])).
% 4.31/4.54 tff(6507,plain,
% 4.31/4.54 (v6(constB17, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5325, 6506])).
% 4.31/4.54 tff(6508,plain,
% 4.31/4.54 (v949(constB17)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5333, 6507])).
% 4.31/4.54 tff(6509,plain,
% 4.31/4.54 (v947(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5338, 6508])).
% 4.31/4.54 tff(6510,plain,
% 4.31/4.54 (v16(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5351, 1913, 6509])).
% 4.31/4.54 tff(6511,assumption,(v6(sK293_VarCurr, bitIndex0)), introduced(assumption)).
% 4.31/4.54 tff(6512,plain,
% 4.31/4.54 (v6(constB18, bitIndex0)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6511, 3987])).
% 4.31/4.54 tff(6513,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5355, 6512])).
% 4.31/4.54 tff(6514,plain,((~(constB18 = sK293_VarCurr)) | v6(constB18, bitIndex0) | (~v6(sK293_VarCurr, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6515,plain,
% 4.31/4.54 ((~(constB18 = sK293_VarCurr)) | v6(constB18, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6514, 5213])).
% 4.31/4.54 tff(6516,plain,
% 4.31/4.54 (v6(constB18, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6515, 3985])).
% 4.31/4.54 tff(6517,plain,
% 4.31/4.54 (v6(constB17, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5406, 6516])).
% 4.31/4.54 tff(6518,plain,
% 4.31/4.54 (v935(constB17)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5414, 6517])).
% 4.31/4.54 tff(6519,plain,
% 4.31/4.54 (v933(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5419, 6518])).
% 4.31/4.54 tff(6520,plain,
% 4.31/4.54 ((~v16(constB16)) | v19(constB16, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5427, 4749, 6519])).
% 4.31/4.54 tff(6521,plain,
% 4.31/4.54 (v19(constB16, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6520, 6510])).
% 4.31/4.54 tff(6522,plain,
% 4.31/4.54 (v19(constB16, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5346, 4063, 6509, 6510])).
% 4.31/4.54 tff(6523,plain,
% 4.31/4.54 (v911(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5619, 6522, 2533, 2574, 6521])).
% 4.31/4.54 tff(6524,plain,
% 4.31/4.54 (~v25(constB16, bitIndex4)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5628, 5280, 6523])).
% 4.31/4.54 tff(6525,plain,
% 4.31/4.54 (~v25(constB16, bitIndex3)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5635, 5258, 6523])).
% 4.31/4.54 tff(6526,plain,
% 4.31/4.54 (~v25(constB16, bitIndex2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5642, 5291, 6523])).
% 4.31/4.54 tff(6527,plain,
% 4.31/4.54 (~v25(constB16, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5649, 5247, 6523])).
% 4.31/4.54 tff(6528,plain,
% 4.31/4.54 (~v25(constB16, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5656, 5269, 6523])).
% 4.31/4.54 tff(6529,plain,
% 4.31/4.54 (~v918(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5663, 4630, 6528, 6527, 6526, 6525, 6524])).
% 4.31/4.54 tff(6530,plain,
% 4.31/4.54 (v6(constB16, bitIndex1) | v918(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5079, 747, 6522])).
% 4.31/4.54 tff(6531,plain,
% 4.31/4.54 (v6(constB16, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6530, 6529])).
% 4.31/4.54 tff(6532,plain,
% 4.31/4.54 (v6(constB15, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5069, 6531])).
% 4.31/4.54 tff(6533,plain,
% 4.31/4.54 (v949(constB15)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5060, 6532])).
% 4.31/4.54 tff(6534,plain,
% 4.31/4.54 (v947(constB14)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5052, 6533])).
% 4.31/4.54 tff(6535,plain,
% 4.31/4.54 (v16(constB14)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5001, 1913, 6534])).
% 4.31/4.54 tff(6536,plain,
% 4.31/4.54 (v19(constB14, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5008, 4063, 6534, 6535])).
% 4.31/4.54 tff(6537,plain,
% 4.31/4.54 (v6(constB16, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5084, 2097, 6523])).
% 4.31/4.54 tff(6538,plain,
% 4.31/4.54 (v6(constB15, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5102, 6537])).
% 4.31/4.54 tff(6539,plain,
% 4.31/4.54 (v935(constB15)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5466, 6538])).
% 4.31/4.54 tff(6540,plain,
% 4.31/4.54 (v933(constB14)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5471, 6539])).
% 4.31/4.54 tff(6541,plain,
% 4.31/4.54 ((~v16(constB14)) | v19(constB14, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5478, 4749, 6540])).
% 4.31/4.54 tff(6542,plain,
% 4.31/4.54 (v19(constB14, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6541, 6535])).
% 4.31/4.54 tff(6543,plain,
% 4.31/4.54 (v6(constB14, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5536, 6542, 6536])).
% 4.31/4.54 tff(6544,plain,
% 4.31/4.54 (v6(constB13, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5038, 6543])).
% 4.31/4.54 tff(6545,plain,
% 4.31/4.54 (v949(constB13)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5545, 6544])).
% 4.31/4.54 tff(6546,plain,
% 4.31/4.54 (v947(constB12)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5550, 6545])).
% 4.31/4.54 tff(6547,plain,
% 4.31/4.54 (v16(constB12)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5554, 1913, 6546])).
% 4.31/4.54 tff(6548,plain,
% 4.31/4.54 (v6(constB14, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5575, 6542, 6536])).
% 4.31/4.54 tff(6549,plain,
% 4.31/4.54 (v6(constB13, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5024, 6548])).
% 4.31/4.54 tff(6550,plain,
% 4.31/4.54 (v935(constB13)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5584, 6549])).
% 4.31/4.54 tff(6551,plain,
% 4.31/4.54 (v933(constB12)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5589, 6550])).
% 4.31/4.54 tff(6552,plain,
% 4.31/4.54 ((~v16(constB12)) | v19(constB12, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5596, 4749, 6551])).
% 4.31/4.54 tff(6553,plain,
% 4.31/4.54 (v19(constB12, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6552, 6547])).
% 4.31/4.54 tff(6554,plain,
% 4.31/4.54 (v19(constB12, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5604, 4063, 6546, 6547])).
% 4.31/4.54 tff(6555,plain,
% 4.31/4.54 (~v702(constB12)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5612, 6554])).
% 4.31/4.54 tff(6556,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5617, 6555, 6553])).
% 4.31/4.54 tff(6557,plain,((~(constB18 = sK293_VarCurr)) | v911(constB12) | v918(constB12)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6558,plain,
% 4.31/4.54 (~(constB18 = sK293_VarCurr)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6557, 5433, 5437])).
% 4.31/4.54 tff(6559,assumption,(~v6(constB17, bitIndex0)), introduced(assumption)).
% 4.31/4.54 tff(6560,plain,
% 4.31/4.54 (~v6(constB18, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5406, 6559])).
% 4.31/4.54 tff(6561,plain,
% 4.31/4.54 (v6(constB17, bitIndex0)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[6511, 3979])).
% 4.31/4.54 tff(6562,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6559, 6561])).
% 4.31/4.54 tff(6563,plain,((~(constB17 = sK293_VarCurr)) | v6(constB17, bitIndex0) | (~v6(sK293_VarCurr, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6564,plain,
% 4.31/4.54 ((~(constB17 = sK293_VarCurr)) | v6(constB17, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6563, 5213])).
% 4.31/4.54 tff(6565,plain,
% 4.31/4.54 (~(constB17 = sK293_VarCurr)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6564, 6559])).
% 4.31/4.54 tff(6566,plain,
% 4.31/4.54 (constB20 = sK293_VarCurr),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6450, 6565, 6439, 6431, 6422, 3267, 2180, 3917, 2181, 3424, 2090, 3951, 3950, 3423, 3877, 3426, 3878, 3268, 4015, 3876])).
% 4.31/4.54 tff(6567,plain,
% 4.31/4.54 (v6(constB20, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6566])).
% 4.31/4.54 tff(6568,plain,
% 4.31/4.54 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB20, bitIndex1)),
% 4.31/4.54 inference(symmetry,[status(thm)],[6567])).
% 4.31/4.54 tff(6569,plain,
% 4.31/4.54 (v6(constB20, bitIndex1)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5182, 6568])).
% 4.31/4.54 tff(6570,plain,
% 4.31/4.54 (v6(constB19, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6462, 6569])).
% 4.31/4.54 tff(6571,plain,
% 4.31/4.54 (v949(constB19)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5201, 6570])).
% 4.31/4.54 tff(6572,plain,
% 4.31/4.54 (v947(constB18)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5206, 6571])).
% 4.31/4.54 tff(6573,plain,
% 4.31/4.54 (v16(constB18)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5210, 1913, 6572])).
% 4.31/4.54 tff(6574,plain,
% 4.31/4.54 (v19(constB18, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5301, 4063, 6572, 6573])).
% 4.31/4.54 tff(6575,plain,
% 4.31/4.54 (v6(constB20, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.31/4.54 inference(monotonicity,[status(thm)],[6566])).
% 4.31/4.54 tff(6576,plain,
% 4.31/4.54 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB20, bitIndex0)),
% 4.31/4.54 inference(symmetry,[status(thm)],[6575])).
% 4.31/4.54 tff(6577,plain,
% 4.31/4.54 (v6(constB20, bitIndex0)),
% 4.31/4.54 inference(modus_ponens,[status(thm)],[5213, 6576])).
% 4.31/4.54 tff(6578,plain,
% 4.31/4.54 (v6(constB19, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6477, 6577])).
% 4.31/4.54 tff(6579,plain,
% 4.31/4.54 (v935(constB19)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5221, 6578])).
% 4.31/4.54 tff(6580,plain,
% 4.31/4.54 (v933(constB18)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5226, 6579])).
% 4.31/4.54 tff(6581,plain,
% 4.31/4.54 (v19(constB18, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5233, 4749, 6580, 6573])).
% 4.31/4.54 tff(6582,plain,
% 4.31/4.54 ($false),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5397, 6581, 6574, 6560])).
% 4.31/4.54 tff(6583,plain,(v6(constB17, bitIndex0) | (constB7 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB10 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.54 tff(6584,plain,
% 4.31/4.54 (v6(constB17, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6583, 3423, 2180, 3917, 6370, 3424, 2090, 6374, 5765, 3267, 3877, 3426, 3878, 3268, 6558, 3876])).
% 4.31/4.54 tff(6585,plain,
% 4.31/4.54 (v935(constB17)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5414, 6584])).
% 4.31/4.54 tff(6586,plain,
% 4.31/4.54 (v933(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5419, 6585])).
% 4.31/4.54 tff(6587,plain,
% 4.31/4.54 (v16(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5351, 1913, 6504])).
% 4.31/4.54 tff(6588,plain,
% 4.31/4.54 ((~v933(constB16)) | v19(constB16, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5427, 4749, 6587])).
% 4.31/4.54 tff(6589,plain,
% 4.31/4.54 (v19(constB16, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6588, 6586])).
% 4.31/4.54 tff(6590,plain,
% 4.31/4.54 (v911(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5621, 6589, 5186, 6505])).
% 4.31/4.54 tff(6591,plain,
% 4.31/4.54 (~v25(constB16, bitIndex4)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5628, 5280, 6590])).
% 4.31/4.54 tff(6592,plain,
% 4.31/4.54 (~v25(constB16, bitIndex3)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5635, 5258, 6590])).
% 4.31/4.54 tff(6593,plain,
% 4.31/4.54 (~v25(constB16, bitIndex2)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5642, 5291, 6590])).
% 4.31/4.54 tff(6594,plain,
% 4.31/4.54 (~v25(constB16, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5649, 5247, 6590])).
% 4.31/4.54 tff(6595,plain,
% 4.31/4.54 (~v25(constB16, bitIndex0)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5656, 5269, 6590])).
% 4.31/4.54 tff(6596,plain,
% 4.31/4.54 (~v918(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5663, 4630, 6595, 6594, 6593, 6592, 6591])).
% 4.31/4.54 tff(6597,plain,
% 4.31/4.54 (v6(constB16, bitIndex1) | v918(constB16)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5079, 747, 6505])).
% 4.31/4.54 tff(6598,plain,
% 4.31/4.54 (v6(constB16, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[6597, 6596])).
% 4.31/4.54 tff(6599,plain,
% 4.31/4.54 (v6(constB15, bitIndex1)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5069, 6598])).
% 4.31/4.54 tff(6600,plain,
% 4.31/4.54 (v949(constB15)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5060, 6599])).
% 4.31/4.54 tff(6601,plain,
% 4.31/4.54 (v947(constB14)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5052, 6600])).
% 4.31/4.54 tff(6602,plain,
% 4.31/4.54 (v16(constB14)),
% 4.31/4.54 inference(unit_resolution,[status(thm)],[5001, 1913, 6601])).
% 4.31/4.54 tff(6603,plain,
% 4.31/4.54 (v6(constB16, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5084, 2097, 6590])).
% 4.31/4.55 tff(6604,plain,
% 4.31/4.55 (v6(constB15, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5102, 6603])).
% 4.31/4.55 tff(6605,plain,
% 4.31/4.55 (v935(constB15)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5466, 6604])).
% 4.31/4.55 tff(6606,plain,
% 4.31/4.55 (v933(constB14)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5471, 6605])).
% 4.31/4.55 tff(6607,plain,
% 4.31/4.55 ((~v16(constB14)) | v19(constB14, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5478, 4749, 6606])).
% 4.31/4.55 tff(6608,plain,
% 4.31/4.55 (v19(constB14, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6607, 6602])).
% 4.31/4.55 tff(6609,plain,
% 4.31/4.55 (v19(constB14, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5008, 4063, 6601, 6602])).
% 4.31/4.55 tff(6610,plain,
% 4.31/4.55 (v6(constB14, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5536, 6609, 6608])).
% 4.31/4.55 tff(6611,plain,
% 4.31/4.55 (v6(constB13, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5038, 6610])).
% 4.31/4.55 tff(6612,plain,
% 4.31/4.55 (v949(constB13)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5545, 6611])).
% 4.31/4.55 tff(6613,plain,
% 4.31/4.55 (v947(constB12)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5550, 6612])).
% 4.31/4.55 tff(6614,plain,
% 4.31/4.55 (v16(constB12)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5554, 1913, 6613])).
% 4.31/4.55 tff(6615,plain,
% 4.31/4.55 (v19(constB12, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5604, 4063, 6613, 6614])).
% 4.31/4.55 tff(6616,plain,
% 4.31/4.55 (v6(constB14, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5575, 6609, 6608])).
% 4.31/4.55 tff(6617,plain,
% 4.31/4.55 (v6(constB13, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5024, 6616])).
% 4.31/4.55 tff(6618,plain,
% 4.31/4.55 (v935(constB13)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5584, 6617])).
% 4.31/4.55 tff(6619,plain,
% 4.31/4.55 (v933(constB12)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5589, 6618])).
% 4.31/4.55 tff(6620,plain,
% 4.31/4.55 ((~v16(constB12)) | v19(constB12, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5596, 4749, 6619])).
% 4.31/4.55 tff(6621,plain,
% 4.31/4.55 (v19(constB12, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6620, 6614])).
% 4.31/4.55 tff(6622,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5694, 6621, 6615, 5186])).
% 4.31/4.55 tff(6623,plain,((constB6 = sK293_VarCurr) | v6(constB12, bitIndex0) | (constB3 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB10 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6624,plain,
% 4.31/4.55 ((constB6 = sK293_VarCurr) | v6(constB12, bitIndex0) | (constB3 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB10 = sK293_VarCurr)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6623, 6365])).
% 4.31/4.55 tff(6625,plain,
% 4.31/4.55 (constB9 = sK293_VarCurr),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6624, 6114, 5729, 6100, 5697, 6068, 5752, 6035, 6029, 5186, 6025])).
% 4.31/4.55 tff(6626,plain,
% 4.31/4.55 (v6(constB9, bitIndex1)),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[5182, 2197])).
% 4.31/4.55 tff(6627,assumption,(~v6(constB9, bitIndex1)), introduced(assumption)).
% 4.31/4.55 tff(6628,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6627, 6626])).
% 4.31/4.55 tff(6629,plain,((~(constB9 = sK293_VarCurr)) | v6(constB9, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6630,plain,
% 4.31/4.55 (v6(constB9, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6629, 2183])).
% 4.31/4.55 tff(6631,plain,
% 4.31/4.55 (v949(constB9)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4686, 6630])).
% 4.31/4.55 tff(6632,plain,
% 4.31/4.55 (v947(constB8)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4678, 6631])).
% 4.31/4.55 tff(6633,plain,
% 4.31/4.55 (v19(constB8, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5859, 6632])).
% 4.31/4.55 tff(6634,plain,
% 4.31/4.55 (v6(constB9, bitIndex0)),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[5213, 2185])).
% 4.31/4.55 tff(6635,assumption,(~v6(constB9, bitIndex0)), introduced(assumption)).
% 4.31/4.55 tff(6636,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6635, 6634])).
% 4.31/4.55 tff(6637,plain,((~(constB9 = sK293_VarCurr)) | v6(constB9, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6638,plain,
% 4.31/4.55 (v6(constB9, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6637, 2183])).
% 4.31/4.55 tff(6639,plain,
% 4.31/4.55 (v19(constB8, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4775, 6638, 512])).
% 4.31/4.55 tff(6640,assumption,(~v6(constB8, bitIndex1)), introduced(assumption)).
% 4.31/4.55 tff(6641,plain,
% 4.31/4.55 ((~v19(constB8, bitIndex0)) | v911(constB8)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4704, 2111, 6640])).
% 4.31/4.55 tff(6642,plain,
% 4.31/4.55 (v911(constB8)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6641, 6639])).
% 4.31/4.55 tff(6643,assumption,(v911(constB8)), introduced(assumption)).
% 4.31/4.55 tff(6644,plain,
% 4.31/4.55 (~v25(constB8, bitIndex2)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5815, 5291, 6643])).
% 4.31/4.55 tff(6645,plain,
% 4.31/4.55 (~v25(constB8, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5822, 5269, 6643])).
% 4.31/4.55 tff(6646,plain,
% 4.31/4.55 (~v25(constB8, bitIndex4)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5829, 5280, 6643])).
% 4.31/4.55 tff(6647,plain,
% 4.31/4.55 (~v25(constB8, bitIndex3)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5837, 5258, 6643])).
% 4.31/4.55 tff(6648,plain,
% 4.31/4.55 (~v25(constB8, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5782, 5247, 6643])).
% 4.31/4.55 tff(6649,assumption,(v918(constB8)), introduced(assumption)).
% 4.31/4.55 tff(6650,plain,
% 4.31/4.55 (v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5787, 4630, 6649])).
% 4.31/4.55 tff(6651,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6650, 6648, 6647, 6646, 6645, 6644])).
% 4.31/4.55 tff(6652,plain,((~v911(constB8)) | (~v918(constB8))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6653,plain,
% 4.31/4.55 (~v918(constB8)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6652, 6642])).
% 4.31/4.55 tff(6654,plain,
% 4.31/4.55 ((~v19(constB8, bitIndex1)) | v918(constB8)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4464, 747, 6640])).
% 4.31/4.55 tff(6655,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6654, 6653, 6633])).
% 4.31/4.55 tff(6656,plain,((~(constB9 = sK293_VarCurr)) | v6(constB8, bitIndex1) | v911(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6657,plain,
% 4.31/4.55 (v6(constB8, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6656, 6625, 5193])).
% 4.31/4.55 tff(6658,plain,
% 4.31/4.55 (v6(constB7, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4453, 6657])).
% 4.31/4.55 tff(6659,plain,
% 4.31/4.55 (v949(constB7)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4444, 6658])).
% 4.31/4.55 tff(6660,plain,
% 4.31/4.55 (v947(constB6)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4426, 6659])).
% 4.31/4.55 tff(6661,plain,
% 4.31/4.55 (v19(constB6, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6047, 6660])).
% 4.31/4.55 tff(6662,plain,
% 4.31/4.55 (v6(constB9, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6629, 6625])).
% 4.31/4.55 tff(6663,plain,
% 4.31/4.55 (v949(constB9)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4686, 6662])).
% 4.31/4.55 tff(6664,plain,
% 4.31/4.55 (v947(constB8)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4678, 6663])).
% 4.31/4.55 tff(6665,plain,
% 4.31/4.55 (v19(constB8, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5859, 6664])).
% 4.31/4.55 tff(6666,plain,
% 4.31/4.55 (v16(constB6)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5895, 6665])).
% 4.31/4.55 tff(6667,plain,
% 4.31/4.55 (v6(constB9, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6637, 6625])).
% 4.31/4.55 tff(6668,plain,
% 4.31/4.55 (v19(constB8, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4775, 6667, 5193])).
% 4.31/4.55 tff(6669,plain,
% 4.31/4.55 (v6(constB8, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5874, 6665, 6668])).
% 4.31/4.55 tff(6670,plain,
% 4.31/4.55 (v6(constB7, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4791, 6669])).
% 4.31/4.55 tff(6671,plain,
% 4.31/4.55 (v935(constB7)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5883, 6670])).
% 4.31/4.55 tff(6672,plain,
% 4.31/4.55 (v933(constB6)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5888, 6671])).
% 4.31/4.55 tff(6673,plain,
% 4.31/4.55 (v19(constB6, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5902, 4749, 6672, 6666])).
% 4.31/4.55 tff(6674,plain,
% 4.31/4.55 (v6(constB6, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5937, 6673, 6661])).
% 4.31/4.55 tff(6675,plain,
% 4.31/4.55 (v6(constB5, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[3378, 6674])).
% 4.31/4.55 tff(6676,plain,
% 4.31/4.55 (v949(constB5)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5946, 6675])).
% 4.31/4.55 tff(6677,plain,
% 4.31/4.55 (v947(constB4)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5951, 6676])).
% 4.31/4.55 tff(6678,plain,
% 4.31/4.55 (v16(constB4)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5955, 1913, 6677])).
% 4.31/4.55 tff(6679,plain,
% 4.31/4.55 (v19(constB4, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5962, 4063, 6677, 6678])).
% 4.31/4.55 tff(6680,plain,
% 4.31/4.55 (v6(constB6, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5980, 6673, 6661])).
% 4.31/4.55 tff(6681,plain,
% 4.31/4.55 (v6(constB5, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[3361, 6680])).
% 4.31/4.55 tff(6682,plain,
% 4.31/4.55 (v935(constB5)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5989, 6681])).
% 4.31/4.55 tff(6683,plain,
% 4.31/4.55 (v933(constB4)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5994, 6682])).
% 4.31/4.55 tff(6684,plain,
% 4.31/4.55 ((~v16(constB4)) | v19(constB4, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6001, 4749, 6683])).
% 4.31/4.55 tff(6685,plain,
% 4.31/4.55 (v19(constB4, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6684, 6678])).
% 4.31/4.55 tff(6686,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6022, 6685, 6679, 5766])).
% 4.31/4.55 tff(6687,plain,(v6(constB4, bitIndex0) | v6(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6688,plain,
% 4.31/4.55 (v6(constB4, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6687, 5186])).
% 4.31/4.55 tff(6689,plain,
% 4.31/4.55 (v6(constB3, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4094, 1316])).
% 4.31/4.55 tff(6690,plain,
% 4.31/4.55 (v935(constB3)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6137, 6689])).
% 4.31/4.55 tff(6691,plain,
% 4.31/4.55 (v933(constB2)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6142, 6690])).
% 4.31/4.55 tff(6692,assumption,(v947(constB2)), introduced(assumption)).
% 4.31/4.55 tff(6693,plain,
% 4.31/4.55 (v16(constB2)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6209, 1913, 6692])).
% 4.31/4.55 tff(6694,assumption,(v933(constB2)), introduced(assumption)).
% 4.31/4.55 tff(6695,plain,
% 4.31/4.55 ((~v16(constB2)) | v19(constB2, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6216, 4749, 6694])).
% 4.31/4.55 tff(6696,plain,
% 4.31/4.55 (v19(constB2, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6695, 6693])).
% 4.31/4.55 tff(6697,plain,
% 4.31/4.55 (v911(constB2)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6308, 6696])).
% 4.31/4.55 tff(6698,plain,
% 4.31/4.55 (~v25(constB2, bitIndex3)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6315, 5258, 6697])).
% 4.31/4.55 tff(6699,plain,
% 4.31/4.55 (~v25(constB2, bitIndex4)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6322, 5280, 6697])).
% 4.31/4.55 tff(6700,plain,
% 4.31/4.55 (~v25(constB2, bitIndex2)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6329, 5291, 6697])).
% 4.31/4.55 tff(6701,plain,
% 4.31/4.55 (~v25(constB2, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6336, 5269, 6697])).
% 4.31/4.55 tff(6702,plain,
% 4.31/4.55 (~v25(constB2, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6343, 5247, 6697])).
% 4.31/4.55 tff(6703,plain,
% 4.31/4.55 (v19(constB2, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6350, 4063, 6692, 6693])).
% 4.31/4.55 tff(6704,plain,
% 4.31/4.55 (v918(constB2)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6358, 6703])).
% 4.31/4.55 tff(6705,plain,
% 4.31/4.55 (v25(constB2, bitIndex1) | v25(constB2, bitIndex0) | v25(constB2, bitIndex2) | v25(constB2, bitIndex3) | v25(constB2, bitIndex4)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6362, 4630, 6704])).
% 4.31/4.55 tff(6706,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6705, 6702, 6701, 6700, 6699, 6698])).
% 4.31/4.55 tff(6707,plain,((~v947(constB2)) | (~v933(constB2))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6708,plain,
% 4.31/4.55 (~v947(constB2)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6707, 6691])).
% 4.31/4.55 tff(6709,plain,
% 4.31/4.55 (~v949(constB3)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6205, 6708])).
% 4.31/4.55 tff(6710,plain,
% 4.31/4.55 (~v6(constB3, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6200, 6709])).
% 4.31/4.55 tff(6711,plain,
% 4.31/4.55 (v6(constB3, bitIndex1)),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[5182, 2045])).
% 4.31/4.55 tff(6712,assumption,(~v6(constB3, bitIndex1)), introduced(assumption)).
% 4.31/4.55 tff(6713,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6712, 6711])).
% 4.31/4.55 tff(6714,plain,((~(constB3 = sK293_VarCurr)) | v6(constB3, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6715,plain,
% 4.31/4.55 (~(constB3 = sK293_VarCurr)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6714, 6710])).
% 4.31/4.55 tff(6716,plain,
% 4.31/4.55 (~v6(constB4, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4107, 6710])).
% 4.31/4.55 tff(6717,plain,
% 4.31/4.55 (v6(constB4, bitIndex1)),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[5182, 2078])).
% 4.31/4.55 tff(6718,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6144, 6717])).
% 4.31/4.55 tff(6719,plain,((~(constB4 = sK293_VarCurr)) | v6(constB4, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6720,plain,
% 4.31/4.55 (~(constB4 = sK293_VarCurr)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6719, 6716])).
% 4.31/4.55 tff(6721,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6186, 6110, 6104, 6144])).
% 4.31/4.55 tff(6722,plain,((~(constB6 = sK293_VarCurr)) | v6(constB4, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6723,plain,
% 4.31/4.55 (~(constB6 = sK293_VarCurr)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6722, 6716])).
% 4.31/4.55 tff(6724,plain,
% 4.31/4.55 (~v947(constB6)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6047, 1344])).
% 4.31/4.55 tff(6725,plain,
% 4.31/4.55 (~v949(constB7)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4426, 6724])).
% 4.31/4.55 tff(6726,plain,
% 4.31/4.55 (~v6(constB7, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4444, 6725])).
% 4.31/4.55 tff(6727,plain,
% 4.31/4.55 (~v6(constB8, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4453, 6726])).
% 4.31/4.55 tff(6728,plain,
% 4.31/4.55 (~(constB7 = sK293_VarCurr)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6039, 6726])).
% 4.31/4.55 tff(6729,plain,
% 4.31/4.55 (~(constB10 = sK293_VarCurr)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[5847, 5161])).
% 4.31/4.55 tff(6730,plain,
% 4.31/4.55 (~(constB9 = sK293_VarCurr)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6629, 5162])).
% 4.31/4.55 tff(6731,assumption,(~v6(constB12, bitIndex1)), introduced(assumption)).
% 4.31/4.55 tff(6732,plain,
% 4.31/4.55 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB12, bitIndex1) | (~v19(constB12, bitIndex0)) | v911(constB12))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB12, bitIndex1) | (~v19(constB12, bitIndex0)) | v911(constB12))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6733,plain,
% 4.31/4.55 ((v6(constB12, bitIndex1) | v911(constB12) | (~v19(constB12, bitIndex0))) <=> (v6(constB12, bitIndex1) | (~v19(constB12, bitIndex0)) | v911(constB12))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6734,plain,
% 4.31/4.55 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB12, bitIndex1) | v911(constB12) | (~v19(constB12, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB12, bitIndex1) | (~v19(constB12, bitIndex0)) | v911(constB12)))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6733])).
% 4.31/4.55 tff(6735,plain,
% 4.31/4.55 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB12, bitIndex1) | v911(constB12) | (~v19(constB12, bitIndex0)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB12, bitIndex1) | (~v19(constB12, bitIndex0)) | v911(constB12))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6734, 6732])).
% 4.31/4.55 tff(6736,plain,
% 4.31/4.55 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v6(constB12, bitIndex1) | v911(constB12) | (~v19(constB12, bitIndex0)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6737,plain,
% 4.31/4.55 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v6(constB12, bitIndex1) | (~v19(constB12, bitIndex0)) | v911(constB12)),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6736, 6735])).
% 4.31/4.55 tff(6738,plain,
% 4.31/4.55 (v6(constB12, bitIndex1) | v911(constB12)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6737, 2111, 2500])).
% 4.31/4.55 tff(6739,plain,
% 4.31/4.55 (v911(constB12)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6738, 6731])).
% 4.31/4.55 tff(6740,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex3)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6741,plain,
% 4.31/4.55 (((~v25(constB12, bitIndex3)) | (~v911(constB12))) <=> ((~v911(constB12)) | (~v25(constB12, bitIndex3)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6742,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex3)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex3))))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6741])).
% 4.31/4.55 tff(6743,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex3)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex3)))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6742, 6740])).
% 4.31/4.55 tff(6744,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex3)) | (~v911(constB12)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6745,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex3))),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6744, 6743])).
% 4.31/4.55 tff(6746,plain,
% 4.31/4.55 (~v25(constB12, bitIndex3)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6745, 5258, 6739])).
% 4.31/4.55 tff(6747,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex2)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6748,plain,
% 4.31/4.55 (((~v25(constB12, bitIndex2)) | (~v911(constB12))) <=> ((~v911(constB12)) | (~v25(constB12, bitIndex2)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6749,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex2)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex2))))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6748])).
% 4.31/4.55 tff(6750,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex2)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex2)))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6749, 6747])).
% 4.31/4.55 tff(6751,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex2)) | (~v911(constB12)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6752,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex2))),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6751, 6750])).
% 4.31/4.55 tff(6753,plain,
% 4.31/4.55 (~v25(constB12, bitIndex2)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6752, 5291, 6739])).
% 4.31/4.55 tff(6754,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex0)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6755,plain,
% 4.31/4.55 (((~v25(constB12, bitIndex0)) | (~v911(constB12))) <=> ((~v911(constB12)) | (~v25(constB12, bitIndex0)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6756,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex0)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex0))))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6755])).
% 4.31/4.55 tff(6757,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex0)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex0)))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6756, 6754])).
% 4.31/4.55 tff(6758,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex0)) | (~v911(constB12)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6759,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex0))),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6758, 6757])).
% 4.31/4.55 tff(6760,plain,
% 4.31/4.55 (~v25(constB12, bitIndex0)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6759, 5269, 6739])).
% 4.31/4.55 tff(6761,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex4)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6762,plain,
% 4.31/4.55 (((~v25(constB12, bitIndex4)) | (~v911(constB12))) <=> ((~v911(constB12)) | (~v25(constB12, bitIndex4)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6763,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex4)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex4))))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6762])).
% 4.31/4.55 tff(6764,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex4)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex4)))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6763, 6761])).
% 4.31/4.55 tff(6765,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex4)) | (~v911(constB12)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6766,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex4))),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6765, 6764])).
% 4.31/4.55 tff(6767,plain,
% 4.31/4.55 (~v25(constB12, bitIndex4)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6766, 5280, 6739])).
% 4.31/4.55 tff(6768,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex1)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6769,plain,
% 4.31/4.55 (((~v25(constB12, bitIndex1)) | (~v911(constB12))) <=> ((~v911(constB12)) | (~v25(constB12, bitIndex1)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6770,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex1)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB12)) | (~v25(constB12, bitIndex1))))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6769])).
% 4.31/4.55 tff(6771,plain,
% 4.31/4.55 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex1)) | (~v911(constB12)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex1)))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6770, 6768])).
% 4.31/4.55 tff(6772,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB12, bitIndex1)) | (~v911(constB12)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6773,plain,
% 4.31/4.55 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB12)) | (~v25(constB12, bitIndex1))),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6772, 6771])).
% 4.31/4.55 tff(6774,plain,
% 4.31/4.55 (~v25(constB12, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6773, 5247, 6739])).
% 4.31/4.55 tff(6775,plain,
% 4.31/4.55 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB12, bitIndex1) | (~v19(constB12, bitIndex1)) | v918(constB12))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB12, bitIndex1) | (~v19(constB12, bitIndex1)) | v918(constB12))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6776,plain,
% 4.31/4.55 ((v6(constB12, bitIndex1) | v918(constB12) | (~v19(constB12, bitIndex1))) <=> (v6(constB12, bitIndex1) | (~v19(constB12, bitIndex1)) | v918(constB12))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6777,plain,
% 4.31/4.55 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB12, bitIndex1) | v918(constB12) | (~v19(constB12, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB12, bitIndex1) | (~v19(constB12, bitIndex1)) | v918(constB12)))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6776])).
% 4.31/4.55 tff(6778,plain,
% 4.31/4.55 (((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB12, bitIndex1) | v918(constB12) | (~v19(constB12, bitIndex1)))) <=> ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB12, bitIndex1) | (~v19(constB12, bitIndex1)) | v918(constB12))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6777, 6775])).
% 4.31/4.55 tff(6779,plain,
% 4.31/4.55 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v6(constB12, bitIndex1) | v918(constB12) | (~v19(constB12, bitIndex1)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6780,plain,
% 4.31/4.55 ((~![VarCurr: $i] : (v6(VarCurr, bitIndex1) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v6(constB12, bitIndex1) | (~v19(constB12, bitIndex1)) | v918(constB12)),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6779, 6778])).
% 4.31/4.55 tff(6781,plain,
% 4.31/4.55 (v6(constB12, bitIndex1) | v918(constB12)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6780, 747, 5689])).
% 4.31/4.55 tff(6782,plain,
% 4.31/4.55 (v918(constB12)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6781, 6731])).
% 4.31/4.55 tff(6783,plain,
% 4.31/4.55 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB12)) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB12)) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6784,plain,
% 4.31/4.55 ((v25(constB12, bitIndex1) | v25(constB12, bitIndex0) | v25(constB12, bitIndex2) | v25(constB12, bitIndex3) | v25(constB12, bitIndex4) | (~v918(constB12))) <=> ((~v918(constB12)) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6785,plain,
% 4.31/4.55 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB12, bitIndex1) | v25(constB12, bitIndex0) | v25(constB12, bitIndex2) | v25(constB12, bitIndex3) | v25(constB12, bitIndex4) | (~v918(constB12)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB12)) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1)))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6784])).
% 4.31/4.55 tff(6786,plain,
% 4.31/4.55 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB12, bitIndex1) | v25(constB12, bitIndex0) | v25(constB12, bitIndex2) | v25(constB12, bitIndex3) | v25(constB12, bitIndex4) | (~v918(constB12)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB12)) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6785, 6783])).
% 4.31/4.55 tff(6787,plain,
% 4.31/4.55 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB12, bitIndex1) | v25(constB12, bitIndex0) | v25(constB12, bitIndex2) | v25(constB12, bitIndex3) | v25(constB12, bitIndex4) | (~v918(constB12)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6788,plain,
% 4.31/4.55 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB12)) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1)),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6787, 6786])).
% 4.31/4.55 tff(6789,plain,
% 4.31/4.55 (v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6788, 4630, 6782])).
% 4.31/4.55 tff(6790,plain,
% 4.31/4.55 ($false),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6789, 6774, 6767, 6760, 6753, 6746])).
% 4.31/4.55 tff(6791,plain,(v6(constB12, bitIndex1) | (~v19(constB12, bitIndex0)) | (~v19(constB12, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.55 tff(6792,plain,
% 4.31/4.55 (v6(constB12, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6791, 6097, 6091])).
% 4.31/4.55 tff(6793,plain,
% 4.31/4.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v941(constB12) | (~v6(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v941(constB12) | (~v6(constB12, bitIndex1)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6794,plain,
% 4.31/4.55 (((~nextState(constB11, constB12)) | v6(constB11, bitIndex1) | v941(constB12) | (~v6(constB12, bitIndex1))) <=> (v6(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v941(constB12) | (~v6(constB12, bitIndex1)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6795,plain,
% 4.31/4.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v6(constB11, bitIndex1) | v941(constB12) | (~v6(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | (v6(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v941(constB12) | (~v6(constB12, bitIndex1))))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6794])).
% 4.31/4.55 tff(6796,plain,
% 4.31/4.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v6(constB11, bitIndex1) | v941(constB12) | (~v6(constB12, bitIndex1)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v941(constB12) | (~v6(constB12, bitIndex1)))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6795, 6793])).
% 4.31/4.55 tff(6797,plain,
% 4.31/4.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | ((~nextState(constB11, constB12)) | v6(constB11, bitIndex1) | v941(constB12) | (~v6(constB12, bitIndex1)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6798,plain,
% 4.31/4.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex1) | v941(VarNext) | (~v6(VarNext, bitIndex1)))) | v6(constB11, bitIndex1) | (~nextState(constB11, constB12)) | v941(constB12) | (~v6(constB12, bitIndex1))),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6797, 6796])).
% 4.31/4.55 tff(6799,plain,
% 4.31/4.55 (v6(constB11, bitIndex1) | v941(constB12) | (~v6(constB12, bitIndex1))),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6798, 2242, 2349])).
% 4.31/4.55 tff(6800,plain,
% 4.31/4.55 (v6(constB11, bitIndex1) | (~v6(constB12, bitIndex1))),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6799, 4301])).
% 4.31/4.55 tff(6801,plain,
% 4.31/4.55 (v6(constB11, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6800, 6792])).
% 4.31/4.55 tff(6802,plain,
% 4.31/4.55 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB11, bitIndex1)) | v949(constB11) | (~v941(constB11)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB11, bitIndex1)) | v949(constB11) | (~v941(constB11)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6803,plain,
% 4.31/4.55 (((~v6(constB11, bitIndex1)) | (~v941(constB11)) | v949(constB11)) <=> ((~v6(constB11, bitIndex1)) | v949(constB11) | (~v941(constB11)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6804,plain,
% 4.31/4.55 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB11, bitIndex1)) | (~v941(constB11)) | v949(constB11))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB11, bitIndex1)) | v949(constB11) | (~v941(constB11))))),
% 4.31/4.55 inference(monotonicity,[status(thm)],[6803])).
% 4.31/4.55 tff(6805,plain,
% 4.31/4.55 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB11, bitIndex1)) | (~v941(constB11)) | v949(constB11))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB11, bitIndex1)) | v949(constB11) | (~v941(constB11)))),
% 4.31/4.55 inference(transitivity,[status(thm)],[6804, 6802])).
% 4.31/4.55 tff(6806,plain,
% 4.31/4.55 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | ((~v6(constB11, bitIndex1)) | (~v941(constB11)) | v949(constB11))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6807,plain,
% 4.31/4.55 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex1)) | (~v941(VarNext)) | v949(VarNext))) | (~v6(constB11, bitIndex1)) | v949(constB11) | (~v941(constB11))),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6806, 6805])).
% 4.31/4.55 tff(6808,plain,
% 4.31/4.55 ((~v6(constB11, bitIndex1)) | v949(constB11)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6807, 4437, 229])).
% 4.31/4.55 tff(6809,plain,
% 4.31/4.55 (v949(constB11)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6808, 6801])).
% 4.31/4.55 tff(6810,plain,
% 4.31/4.55 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB10, constB11)) | v947(constB10) | (~v949(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB10, constB11)) | v947(constB10) | (~v949(constB11)))),
% 4.31/4.55 inference(rewrite,[status(thm)],[])).
% 4.31/4.55 tff(6811,plain,
% 4.31/4.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | ((~nextState(constB10, constB11)) | v947(constB10) | (~v949(constB11)))),
% 4.31/4.55 inference(quant_inst,[status(thm)],[])).
% 4.31/4.55 tff(6812,plain,
% 4.31/4.55 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v947(VarCurr) | (~v949(VarNext)))) | (~nextState(constB10, constB11)) | v947(constB10) | (~v949(constB11))),
% 4.31/4.55 inference(modus_ponens,[status(thm)],[6811, 6810])).
% 4.31/4.55 tff(6813,plain,
% 4.31/4.55 (v947(constB10) | (~v949(constB11))),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6812, 4422, 154])).
% 4.31/4.55 tff(6814,plain,
% 4.31/4.55 (v947(constB10)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[6813, 6809])).
% 4.31/4.55 tff(6815,plain,
% 4.31/4.55 (v19(constB10, bitIndex1)),
% 4.31/4.55 inference(unit_resolution,[status(thm)],[4403, 6814])).
% 4.31/4.56 tff(6816,plain,
% 4.31/4.56 (v16(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4401, 1913, 6814])).
% 4.31/4.56 tff(6817,plain,
% 4.31/4.56 (v6(constB12, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5694, 6097, 6091])).
% 4.31/4.56 tff(6818,plain,
% 4.31/4.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v925(constB12) | (~v6(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v925(constB12) | (~v6(constB12, bitIndex0)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6819,plain,
% 4.31/4.56 (((~nextState(constB11, constB12)) | v6(constB11, bitIndex0) | v925(constB12) | (~v6(constB12, bitIndex0))) <=> (v6(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v925(constB12) | (~v6(constB12, bitIndex0)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6820,plain,
% 4.31/4.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v6(constB11, bitIndex0) | v925(constB12) | (~v6(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | (v6(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v925(constB12) | (~v6(constB12, bitIndex0))))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6819])).
% 4.31/4.56 tff(6821,plain,
% 4.31/4.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v6(constB11, bitIndex0) | v925(constB12) | (~v6(constB12, bitIndex0)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v925(constB12) | (~v6(constB12, bitIndex0)))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6820, 6818])).
% 4.31/4.56 tff(6822,plain,
% 4.31/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | ((~nextState(constB11, constB12)) | v6(constB11, bitIndex0) | v925(constB12) | (~v6(constB12, bitIndex0)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6823,plain,
% 4.31/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v6(VarCurr, bitIndex0) | v925(VarNext) | (~v6(VarNext, bitIndex0)))) | v6(constB11, bitIndex0) | (~nextState(constB11, constB12)) | v925(constB12) | (~v6(constB12, bitIndex0))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6822, 6821])).
% 4.31/4.56 tff(6824,plain,
% 4.31/4.56 (v6(constB11, bitIndex0) | v925(constB12) | (~v6(constB12, bitIndex0))),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6823, 2219, 2349])).
% 4.31/4.56 tff(6825,plain,
% 4.31/4.56 (v6(constB11, bitIndex0) | (~v6(constB12, bitIndex0))),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6824, 4275])).
% 4.31/4.56 tff(6826,plain,
% 4.31/4.56 (v6(constB11, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6825, 6817])).
% 4.31/4.56 tff(6827,plain,
% 4.31/4.56 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB11, bitIndex0)) | v935(constB11) | (~v925(constB11)))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB11, bitIndex0)) | v935(constB11) | (~v925(constB11)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6828,plain,
% 4.31/4.56 (((~v6(constB11, bitIndex0)) | (~v925(constB11)) | v935(constB11)) <=> ((~v6(constB11, bitIndex0)) | v935(constB11) | (~v925(constB11)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6829,plain,
% 4.31/4.56 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB11, bitIndex0)) | (~v925(constB11)) | v935(constB11))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB11, bitIndex0)) | v935(constB11) | (~v925(constB11))))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6828])).
% 4.31/4.56 tff(6830,plain,
% 4.31/4.56 (((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB11, bitIndex0)) | (~v925(constB11)) | v935(constB11))) <=> ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB11, bitIndex0)) | v935(constB11) | (~v925(constB11)))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6829, 6827])).
% 4.31/4.56 tff(6831,plain,
% 4.31/4.56 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | ((~v6(constB11, bitIndex0)) | (~v925(constB11)) | v935(constB11))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6832,plain,
% 4.31/4.56 ((~![VarNext: $i] : ((~v6(VarNext, bitIndex0)) | (~v925(VarNext)) | v935(VarNext))) | (~v6(constB11, bitIndex0)) | v935(constB11) | (~v925(constB11))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6831, 6830])).
% 4.31/4.56 tff(6833,plain,
% 4.31/4.56 ((~v6(constB11, bitIndex0)) | v935(constB11)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6832, 4716, 319])).
% 4.31/4.56 tff(6834,plain,
% 4.31/4.56 (v935(constB11)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6833, 6826])).
% 4.31/4.56 tff(6835,plain,
% 4.31/4.56 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB10, constB11)) | v933(constB10) | (~v935(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB10, constB11)) | v933(constB10) | (~v935(constB11)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6836,plain,
% 4.31/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | ((~nextState(constB10, constB11)) | v933(constB10) | (~v935(constB11)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6837,plain,
% 4.31/4.56 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v933(VarCurr) | (~v935(VarNext)))) | (~nextState(constB10, constB11)) | v933(constB10) | (~v935(constB11))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6836, 6835])).
% 4.31/4.56 tff(6838,plain,
% 4.31/4.56 (v933(constB10) | (~v935(constB11))),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6837, 4734, 154])).
% 4.31/4.56 tff(6839,plain,
% 4.31/4.56 (v933(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6838, 6834])).
% 4.31/4.56 tff(6840,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex0))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex0))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6841,plain,
% 4.31/4.56 (((~v16(constB10)) | v19(constB10, bitIndex0) | (~v933(constB10))) <=> ((~v933(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex0))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6842,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB10)) | v19(constB10, bitIndex0) | (~v933(constB10)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v933(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex0)))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6841])).
% 4.31/4.56 tff(6843,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB10)) | v19(constB10, bitIndex0) | (~v933(constB10)))) <=> ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex0))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6842, 6840])).
% 4.31/4.56 tff(6844,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | ((~v16(constB10)) | v19(constB10, bitIndex0) | (~v933(constB10)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6845,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v16(VarCurr)) | v19(VarCurr, bitIndex0) | (~v933(VarCurr)))) | (~v933(constB10)) | (~v16(constB10)) | v19(constB10, bitIndex0)),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6844, 6843])).
% 4.31/4.56 tff(6846,plain,
% 4.31/4.56 (v19(constB10, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6845, 4749, 6839, 6816])).
% 4.31/4.56 tff(6847,plain,
% 4.31/4.56 (((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB10) | v911(constB10) | (~v19(constB10, bitIndex0)))) <=> ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB10) | v911(constB10) | (~v19(constB10, bitIndex0)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6848,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | (v702(constB10) | v911(constB10) | (~v19(constB10, bitIndex0)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6849,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v702(VarCurr) | v911(VarCurr) | (~v19(VarCurr, bitIndex0)))) | v702(constB10) | v911(constB10) | (~v19(constB10, bitIndex0))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6848, 6847])).
% 4.31/4.56 tff(6850,plain,
% 4.31/4.56 (v702(constB10) | v911(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6849, 5391, 354])).
% 4.31/4.56 tff(6851,plain,
% 4.31/4.56 (v702(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6850, 512])).
% 4.31/4.56 tff(6852,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v918(constB10) | (~v702(constB10)) | (~v19(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB10) | (~v702(constB10)) | (~v19(constB10, bitIndex1)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6853,plain,
% 4.31/4.56 (((~v702(constB10)) | v918(constB10) | (~v19(constB10, bitIndex1))) <=> (v918(constB10) | (~v702(constB10)) | (~v19(constB10, bitIndex1)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6854,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB10)) | v918(constB10) | (~v19(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | (v918(constB10) | (~v702(constB10)) | (~v19(constB10, bitIndex1))))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6853])).
% 4.31/4.56 tff(6855,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB10)) | v918(constB10) | (~v19(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB10) | (~v702(constB10)) | (~v19(constB10, bitIndex1)))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6854, 6852])).
% 4.31/4.56 tff(6856,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | ((~v702(constB10)) | v918(constB10) | (~v19(constB10, bitIndex1)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6857,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v702(VarCurr)) | v918(VarCurr) | (~v19(VarCurr, bitIndex1)))) | v918(constB10) | (~v702(constB10)) | (~v19(constB10, bitIndex1))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6856, 6855])).
% 4.31/4.56 tff(6858,plain,
% 4.31/4.56 (v918(constB10) | (~v702(constB10))),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6857, 5373, 4689])).
% 4.31/4.56 tff(6859,plain,
% 4.31/4.56 (v918(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6858, 6851])).
% 4.31/4.56 tff(6860,plain,
% 4.31/4.56 (v6(constB10, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4780, 645, 6859])).
% 4.31/4.56 tff(6861,plain,
% 4.31/4.56 (v6(constB9, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[2227, 6860])).
% 4.31/4.56 tff(6862,plain,
% 4.31/4.56 (v19(constB8, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4775, 6861, 512])).
% 4.31/4.56 tff(6863,plain,
% 4.31/4.56 (v6(constB8, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4782, 512, 1344, 4689])).
% 4.31/4.56 tff(6864,plain,
% 4.31/4.56 (v6(constB10, bitIndex1) | v911(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[2254, 2111, 354])).
% 4.31/4.56 tff(6865,plain,
% 4.31/4.56 (v6(constB10, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6864, 512])).
% 4.31/4.56 tff(6866,plain,
% 4.31/4.56 (v6(constB9, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[2250, 6865])).
% 4.31/4.56 tff(6867,plain,
% 4.31/4.56 (v949(constB9)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4686, 6866])).
% 4.31/4.56 tff(6868,plain,
% 4.31/4.56 (v947(constB8)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4678, 6867])).
% 4.31/4.56 tff(6869,plain,
% 4.31/4.56 (v19(constB8, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5859, 6868])).
% 4.31/4.56 tff(6870,plain,
% 4.31/4.56 (v16(constB6)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5799, 6869, 6863])).
% 4.31/4.56 tff(6871,plain,
% 4.31/4.56 (~v947(constB6)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4069, 4063, 6870, 1344])).
% 4.31/4.56 tff(6872,plain,
% 4.31/4.56 (~v949(constB7)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4426, 6871])).
% 4.31/4.56 tff(6873,plain,
% 4.31/4.56 (~v6(constB7, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4444, 6872])).
% 4.31/4.56 tff(6874,plain,
% 4.31/4.56 (~v6(constB8, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4453, 6873])).
% 4.31/4.56 tff(6875,plain,
% 4.31/4.56 (v911(constB8)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4704, 2111, 6874, 6862])).
% 4.31/4.56 tff(6876,plain,
% 4.31/4.56 (~v25(constB8, bitIndex2)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5815, 5291, 6875])).
% 4.31/4.56 tff(6877,plain,
% 4.31/4.56 (~v25(constB8, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5822, 5269, 6875])).
% 4.31/4.56 tff(6878,plain,
% 4.31/4.56 (~v25(constB8, bitIndex4)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5829, 5280, 6875])).
% 4.31/4.56 tff(6879,plain,
% 4.31/4.56 (~v25(constB8, bitIndex3)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5837, 5258, 6875])).
% 4.31/4.56 tff(6880,plain,
% 4.31/4.56 (~v25(constB8, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5782, 5247, 6875])).
% 4.31/4.56 tff(6881,plain,
% 4.31/4.56 (v918(constB8)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4464, 747, 6874, 6869])).
% 4.31/4.56 tff(6882,plain,
% 4.31/4.56 (v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5787, 4630, 6881])).
% 4.31/4.56 tff(6883,plain,
% 4.31/4.56 ($false),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6882, 6880, 6879, 6878, 6877, 6876])).
% 4.31/4.56 tff(6884,plain,(v911(constB10) | v19(constB6, bitIndex1) | (~v19(constB10, bitIndex1)) | (~v19(constB10, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.56 tff(6885,plain,
% 4.31/4.56 (v911(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6884, 6846, 1344, 6815])).
% 4.31/4.56 tff(6886,assumption,(v911(constB10)), introduced(assumption)).
% 4.31/4.56 tff(6887,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex4)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex4)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6888,plain,
% 4.31/4.56 (((~v25(constB10, bitIndex4)) | (~v911(constB10))) <=> ((~v911(constB10)) | (~v25(constB10, bitIndex4)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6889,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex4)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex4))))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6888])).
% 4.31/4.56 tff(6890,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex4)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex4)))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6889, 6887])).
% 4.31/4.56 tff(6891,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex4)) | (~v911(constB10)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6892,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex4)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex4))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6891, 6890])).
% 4.31/4.56 tff(6893,plain,
% 4.31/4.56 (~v25(constB10, bitIndex4)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6892, 5280, 6886])).
% 4.31/4.56 tff(6894,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex1)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6895,plain,
% 4.31/4.56 (((~v25(constB10, bitIndex1)) | (~v911(constB10))) <=> ((~v911(constB10)) | (~v25(constB10, bitIndex1)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6896,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex1)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex1))))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6895])).
% 4.31/4.56 tff(6897,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex1)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex1)))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6896, 6894])).
% 4.31/4.56 tff(6898,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex1)) | (~v911(constB10)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6899,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex1)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex1))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6898, 6897])).
% 4.31/4.56 tff(6900,plain,
% 4.31/4.56 (~v25(constB10, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6899, 5247, 6886])).
% 4.31/4.56 tff(6901,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex3)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex3)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6902,plain,
% 4.31/4.56 (((~v25(constB10, bitIndex3)) | (~v911(constB10))) <=> ((~v911(constB10)) | (~v25(constB10, bitIndex3)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6903,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex3)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex3))))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6902])).
% 4.31/4.56 tff(6904,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex3)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex3)))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6903, 6901])).
% 4.31/4.56 tff(6905,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex3)) | (~v911(constB10)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6906,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex3)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex3))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6905, 6904])).
% 4.31/4.56 tff(6907,plain,
% 4.31/4.56 (~v25(constB10, bitIndex3)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6906, 5258, 6886])).
% 4.31/4.56 tff(6908,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex2)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex2)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6909,plain,
% 4.31/4.56 (((~v25(constB10, bitIndex2)) | (~v911(constB10))) <=> ((~v911(constB10)) | (~v25(constB10, bitIndex2)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6910,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex2)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex2))))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6909])).
% 4.31/4.56 tff(6911,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex2)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex2)))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6910, 6908])).
% 4.31/4.56 tff(6912,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex2)) | (~v911(constB10)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6913,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex2)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex2))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6912, 6911])).
% 4.31/4.56 tff(6914,plain,
% 4.31/4.56 (~v25(constB10, bitIndex2)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6913, 5291, 6886])).
% 4.31/4.56 tff(6915,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex0)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex0)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6916,plain,
% 4.31/4.56 (((~v25(constB10, bitIndex0)) | (~v911(constB10))) <=> ((~v911(constB10)) | (~v25(constB10, bitIndex0)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6917,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex0)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v911(constB10)) | (~v25(constB10, bitIndex0))))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6916])).
% 4.31/4.56 tff(6918,plain,
% 4.31/4.56 (((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex0)) | (~v911(constB10)))) <=> ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex0)))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6917, 6915])).
% 4.31/4.56 tff(6919,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | ((~v25(constB10, bitIndex0)) | (~v911(constB10)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6920,plain,
% 4.31/4.56 ((~![VarCurr: $i] : ((~v25(VarCurr, bitIndex0)) | (~v911(VarCurr)))) | (~v911(constB10)) | (~v25(constB10, bitIndex0))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6919, 6918])).
% 4.31/4.56 tff(6921,plain,
% 4.31/4.56 (~v25(constB10, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6920, 5269, 6886])).
% 4.31/4.56 tff(6922,assumption,(v918(constB10)), introduced(assumption)).
% 4.31/4.56 tff(6923,plain,
% 4.31/4.56 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB10)) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB10)) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6924,plain,
% 4.31/4.56 ((v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4) | (~v918(constB10))) <=> ((~v918(constB10)) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6925,plain,
% 4.31/4.56 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4) | (~v918(constB10)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | ((~v918(constB10)) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1)))),
% 4.31/4.56 inference(monotonicity,[status(thm)],[6924])).
% 4.31/4.56 tff(6926,plain,
% 4.31/4.56 (((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4) | (~v918(constB10)))) <=> ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB10)) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1))),
% 4.31/4.56 inference(transitivity,[status(thm)],[6925, 6923])).
% 4.31/4.56 tff(6927,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4) | (~v918(constB10)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6928,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4) | (~v918(VarCurr)))) | (~v918(constB10)) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1)),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6927, 6926])).
% 4.31/4.56 tff(6929,plain,
% 4.31/4.56 (v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6928, 4630, 6922])).
% 4.31/4.56 tff(6930,plain,
% 4.31/4.56 ($false),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6929, 6921, 6914, 6907, 6900, 6893])).
% 4.31/4.56 tff(6931,plain,((~v911(constB10)) | (~v918(constB10))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.56 tff(6932,plain,
% 4.31/4.56 (~v918(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6931, 6885])).
% 4.31/4.56 tff(6933,plain,
% 4.31/4.56 (v6(constB10, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4692, 747, 6932, 6815])).
% 4.31/4.56 tff(6934,plain,
% 4.31/4.56 (v6(constB9, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[2250, 6933])).
% 4.31/4.56 tff(6935,plain,
% 4.31/4.56 (v949(constB9)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4686, 6934])).
% 4.31/4.56 tff(6936,plain,
% 4.31/4.56 (v947(constB8)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4678, 6935])).
% 4.31/4.56 tff(6937,plain,
% 4.31/4.56 (v16(constB8)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5857, 1913, 6936])).
% 4.31/4.56 tff(6938,plain,
% 4.31/4.56 (v6(constB10, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[2231, 2097, 6885])).
% 4.31/4.56 tff(6939,plain,
% 4.31/4.56 (v6(constB9, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[2227, 6938])).
% 4.31/4.56 tff(6940,plain,
% 4.31/4.56 (v935(constB9)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4723, 6939])).
% 4.31/4.56 tff(6941,plain,
% 4.31/4.56 (v933(constB8)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4738, 6940])).
% 4.31/4.56 tff(6942,plain,
% 4.31/4.56 (v19(constB8, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4755, 4749, 6941, 6937])).
% 4.31/4.56 tff(6943,plain,
% 4.31/4.56 (v19(constB8, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5859, 6936])).
% 4.31/4.56 tff(6944,plain,
% 4.31/4.56 (v947(constB6)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[1596, 5893, 1316])).
% 4.31/4.56 tff(6945,plain,
% 4.31/4.56 ($false),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5794, 1913, 6944, 3427])).
% 4.31/4.56 tff(6946,plain,(v16(constB6) | (~v6(constB4, bitIndex0)) | (~v19(constB8, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.56 tff(6947,plain,
% 4.31/4.56 (v16(constB6)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6946, 6943, 1316])).
% 4.31/4.56 tff(6948,plain,
% 4.31/4.56 (~v947(constB6)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6044, 6947])).
% 4.31/4.56 tff(6949,plain,
% 4.31/4.56 (~v949(constB7)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4426, 6948])).
% 4.31/4.56 tff(6950,plain,
% 4.31/4.56 (~v6(constB7, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4444, 6949])).
% 4.31/4.56 tff(6951,plain,
% 4.31/4.56 (~v6(constB8, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4453, 6950])).
% 4.31/4.56 tff(6952,plain,
% 4.31/4.56 ((~v19(constB8, bitIndex0)) | v911(constB8)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4704, 2111, 6951])).
% 4.31/4.56 tff(6953,plain,
% 4.31/4.56 (v911(constB8)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6952, 6942])).
% 4.31/4.56 tff(6954,plain,
% 4.31/4.56 (~v25(constB8, bitIndex2)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5815, 5291, 6953])).
% 4.31/4.56 tff(6955,plain,
% 4.31/4.56 (~v25(constB8, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5822, 5269, 6953])).
% 4.31/4.56 tff(6956,plain,
% 4.31/4.56 (~v25(constB8, bitIndex4)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5829, 5280, 6953])).
% 4.31/4.56 tff(6957,plain,
% 4.31/4.56 (~v25(constB8, bitIndex3)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5837, 5258, 6953])).
% 4.31/4.56 tff(6958,plain,
% 4.31/4.56 (~v25(constB8, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5782, 5247, 6953])).
% 4.31/4.56 tff(6959,plain,
% 4.31/4.56 (v918(constB8)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4464, 747, 6951, 6943])).
% 4.31/4.56 tff(6960,plain,
% 4.31/4.56 (v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[5787, 4630, 6959])).
% 4.31/4.56 tff(6961,plain,
% 4.31/4.56 ($false),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6960, 6958, 6957, 6956, 6955, 6954])).
% 4.31/4.56 tff(6962,plain,((~(constB15 = sK293_VarCurr)) | v19(constB6, bitIndex1) | (~v6(constB4, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.56 tff(6963,plain,
% 4.31/4.56 (~(constB15 = sK293_VarCurr)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6962, 1316, 1344])).
% 4.31/4.56 tff(6964,plain,
% 4.31/4.56 (v6(constB12, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6373, 3909])).
% 4.31/4.56 tff(6965,plain,
% 4.31/4.56 (v6(constB11, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6825, 6964])).
% 4.31/4.56 tff(6966,plain,
% 4.31/4.56 (v935(constB11)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6833, 6965])).
% 4.31/4.56 tff(6967,plain,
% 4.31/4.56 (v933(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6838, 6966])).
% 4.31/4.56 tff(6968,assumption,(v16(constB10)), introduced(assumption)).
% 4.31/4.56 tff(6969,plain,
% 4.31/4.56 ((~v933(constB10)) | v19(constB10, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6845, 4749, 6968])).
% 4.31/4.56 tff(6970,plain,
% 4.31/4.56 (v19(constB10, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6969, 6967])).
% 4.31/4.56 tff(6971,plain,
% 4.31/4.56 (v911(constB10) | (~v19(constB10, bitIndex0))),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[2254, 2111, 5161])).
% 4.31/4.56 tff(6972,plain,
% 4.31/4.56 (v911(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6971, 6970])).
% 4.31/4.56 tff(6973,plain,
% 4.31/4.56 (~v25(constB10, bitIndex4)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6892, 5280, 6972])).
% 4.31/4.56 tff(6974,plain,
% 4.31/4.56 (v6(constB12, bitIndex1)),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6425, 4940])).
% 4.31/4.56 tff(6975,plain,
% 4.31/4.56 ($false),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6731, 6974])).
% 4.31/4.56 tff(6976,plain,((~(constB12 = sK293_VarCurr)) | v6(constB12, bitIndex1) | (~v6(sK293_VarCurr, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.56 tff(6977,plain,
% 4.31/4.56 ((~(constB12 = sK293_VarCurr)) | v6(constB12, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6976, 5182])).
% 4.31/4.56 tff(6978,plain,
% 4.31/4.56 (v6(constB12, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6977, 3909])).
% 4.31/4.56 tff(6979,plain,
% 4.31/4.56 (v6(constB11, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6800, 6978])).
% 4.31/4.56 tff(6980,plain,
% 4.31/4.56 (v949(constB11)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6808, 6979])).
% 4.31/4.56 tff(6981,plain,
% 4.31/4.56 (v947(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6813, 6980])).
% 4.31/4.56 tff(6982,plain,
% 4.31/4.56 (v19(constB10, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4403, 6981])).
% 4.31/4.56 tff(6983,plain,
% 4.31/4.56 (v918(constB10) | (~v19(constB10, bitIndex1))),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[4692, 747, 5161])).
% 4.31/4.56 tff(6984,plain,
% 4.31/4.56 (v918(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6983, 6982])).
% 4.31/4.56 tff(6985,assumption,(~v814(constB10)), introduced(assumption)).
% 4.31/4.56 tff(6986,plain,
% 4.31/4.56 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))) | (v814(constB10) | (~v25(constB10, bitIndex4)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))) | v814(constB10) | (~v25(constB10, bitIndex4)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6987,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))) | (v814(constB10) | (~v25(constB10, bitIndex4)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6988,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex4)))) | v814(constB10) | (~v25(constB10, bitIndex4))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6987, 6986])).
% 4.31/4.56 tff(6989,plain,
% 4.31/4.56 (~v25(constB10, bitIndex4)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6988, 3747, 6985])).
% 4.31/4.56 tff(6990,plain,
% 4.31/4.56 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))) | (v814(constB10) | (~v25(constB10, bitIndex1)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))) | v814(constB10) | (~v25(constB10, bitIndex1)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6991,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))) | (v814(constB10) | (~v25(constB10, bitIndex1)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6992,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex1)))) | v814(constB10) | (~v25(constB10, bitIndex1))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6991, 6990])).
% 4.31/4.56 tff(6993,plain,
% 4.31/4.56 (~v25(constB10, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6992, 3798, 6985])).
% 4.31/4.56 tff(6994,plain,
% 4.31/4.56 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))) | (v814(constB10) | (~v25(constB10, bitIndex3)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))) | v814(constB10) | (~v25(constB10, bitIndex3)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6995,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))) | (v814(constB10) | (~v25(constB10, bitIndex3)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(6996,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex3)))) | v814(constB10) | (~v25(constB10, bitIndex3))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6995, 6994])).
% 4.31/4.56 tff(6997,plain,
% 4.31/4.56 (~v25(constB10, bitIndex3)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6996, 3772, 6985])).
% 4.31/4.56 tff(6998,plain,
% 4.31/4.56 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))) | (v814(constB10) | (~v25(constB10, bitIndex2)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))) | v814(constB10) | (~v25(constB10, bitIndex2)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(6999,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))) | (v814(constB10) | (~v25(constB10, bitIndex2)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(7000,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex2)))) | v814(constB10) | (~v25(constB10, bitIndex2))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[6999, 6998])).
% 4.31/4.56 tff(7001,plain,
% 4.31/4.56 (~v25(constB10, bitIndex2)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[7000, 3685, 6985])).
% 4.31/4.56 tff(7002,plain,
% 4.31/4.56 (((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))) | (v814(constB10) | (~v25(constB10, bitIndex0)))) <=> ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))) | v814(constB10) | (~v25(constB10, bitIndex0)))),
% 4.31/4.56 inference(rewrite,[status(thm)],[])).
% 4.31/4.56 tff(7003,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))) | (v814(constB10) | (~v25(constB10, bitIndex0)))),
% 4.31/4.56 inference(quant_inst,[status(thm)],[])).
% 4.31/4.56 tff(7004,plain,
% 4.31/4.56 ((~![VarCurr: $i] : (v814(VarCurr) | (~v25(VarCurr, bitIndex0)))) | v814(constB10) | (~v25(constB10, bitIndex0))),
% 4.31/4.56 inference(modus_ponens,[status(thm)],[7003, 7002])).
% 4.31/4.56 tff(7005,plain,
% 4.31/4.56 (~v25(constB10, bitIndex0)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[7004, 3722, 6985])).
% 4.31/4.56 tff(7006,plain,
% 4.31/4.56 ($false),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6929, 7005, 7001, 6997, 6993, 6989])).
% 4.31/4.56 tff(7007,plain,(v814(constB10) | (~v918(constB10))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.56 tff(7008,plain,
% 4.31/4.56 (v814(constB10)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[7007, 6984])).
% 4.31/4.56 tff(7009,plain,
% 4.31/4.56 (~v25(constB10, bitIndex1)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6899, 5247, 6972])).
% 4.31/4.56 tff(7010,plain,
% 4.31/4.56 (~v25(constB10, bitIndex3)),
% 4.31/4.56 inference(unit_resolution,[status(thm)],[6906, 5258, 6972])).
% 4.31/4.57 tff(7011,plain,
% 4.31/4.57 (~v25(constB10, bitIndex2)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[6913, 5291, 6972])).
% 4.31/4.57 tff(7012,plain,
% 4.31/4.57 (~v25(constB10, bitIndex0)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[6920, 5269, 6972])).
% 4.31/4.57 tff(7013,plain,
% 4.31/4.57 (((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | (v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1) | (~v814(constB10)))) <=> ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1) | (~v814(constB10)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7014,plain,
% 4.31/4.57 (((~v814(constB10)) | v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4)) <=> (v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1) | (~v814(constB10)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7015,plain,
% 4.31/4.57 (((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | ((~v814(constB10)) | v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | (v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1) | (~v814(constB10))))),
% 4.31/4.57 inference(monotonicity,[status(thm)],[7014])).
% 4.31/4.57 tff(7016,plain,
% 4.31/4.57 (((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | ((~v814(constB10)) | v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4))) <=> ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1) | (~v814(constB10)))),
% 4.31/4.57 inference(transitivity,[status(thm)],[7015, 7013])).
% 4.31/4.57 tff(7017,plain,
% 4.31/4.57 ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | ((~v814(constB10)) | v25(constB10, bitIndex1) | v25(constB10, bitIndex0) | v25(constB10, bitIndex2) | v25(constB10, bitIndex3) | v25(constB10, bitIndex4))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7018,plain,
% 4.31/4.57 ((~![VarCurr: $i] : ((~v814(VarCurr)) | v25(VarCurr, bitIndex1) | v25(VarCurr, bitIndex0) | v25(VarCurr, bitIndex2) | v25(VarCurr, bitIndex3) | v25(VarCurr, bitIndex4))) | v25(constB10, bitIndex4) | v25(constB10, bitIndex3) | v25(constB10, bitIndex2) | v25(constB10, bitIndex0) | v25(constB10, bitIndex1) | (~v814(constB10))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7017, 7016])).
% 4.31/4.57 tff(7019,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7018, 3660, 7012, 7011, 7010, 7009, 7008, 6973])).
% 4.31/4.57 tff(7020,plain,((~(constB12 = sK293_VarCurr)) | v6(constB10, bitIndex1) | (~v16(constB10))), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7021,plain,
% 4.31/4.57 (~v16(constB10)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7020, 3909, 5161])).
% 4.31/4.57 tff(7022,assumption,(~v16(constB10)), introduced(assumption)).
% 4.31/4.57 tff(7023,assumption,(v902(constB10, bitIndex1)), introduced(assumption)).
% 4.31/4.57 tff(7024,plain,
% 4.31/4.57 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex1)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7025,plain,
% 4.31/4.57 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex1)))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7026,plain,
% 4.31/4.57 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex1))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7025, 7024])).
% 4.31/4.57 tff(7027,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7026, 3438, 7022, 7023])).
% 4.31/4.57 tff(7028,plain,((~v902(constB10, bitIndex1)) | v16(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7029,plain,
% 4.31/4.57 (~v902(constB10, bitIndex1)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7028, 7022])).
% 4.31/4.57 tff(7030,assumption,(v904(constB11, bitIndex1)), introduced(assumption)).
% 4.31/4.57 tff(7031,assumption,(~v902(constB10, bitIndex1)), introduced(assumption)).
% 4.31/4.57 tff(7032,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex1)) | v902(constB10, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex1)) | v902(constB10, bitIndex1))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7033,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex1)) | v902(constB10, bitIndex1))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7034,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex1)) | v902(constB10, bitIndex1)),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7033, 7032])).
% 4.31/4.57 tff(7035,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7034, 3456, 154, 7031, 7030])).
% 4.31/4.57 tff(7036,plain,((~v904(constB11, bitIndex1)) | v902(constB10, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7037,plain,
% 4.31/4.57 (~v904(constB11, bitIndex1)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7036, 7029])).
% 4.31/4.57 tff(7038,assumption,(v902(constB10, bitIndex0)), introduced(assumption)).
% 4.31/4.57 tff(7039,plain,
% 4.31/4.57 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex0)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7040,plain,
% 4.31/4.57 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex0)))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7041,plain,
% 4.31/4.57 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex0))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7040, 7039])).
% 4.31/4.57 tff(7042,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7041, 3438, 7022, 7038])).
% 4.31/4.57 tff(7043,plain,((~v902(constB10, bitIndex0)) | v16(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7044,plain,
% 4.31/4.57 (~v902(constB10, bitIndex0)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7043, 7022])).
% 4.31/4.57 tff(7045,assumption,(v904(constB11, bitIndex0)), introduced(assumption)).
% 4.31/4.57 tff(7046,assumption,(~v902(constB10, bitIndex0)), introduced(assumption)).
% 4.31/4.57 tff(7047,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex0)) | v902(constB10, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex0)) | v902(constB10, bitIndex0))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7048,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex0)) | v902(constB10, bitIndex0))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7049,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex0)) | v902(constB10, bitIndex0)),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7048, 7047])).
% 4.31/4.57 tff(7050,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7049, 3456, 154, 7046, 7045])).
% 4.31/4.57 tff(7051,plain,((~v904(constB11, bitIndex0)) | v902(constB10, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7052,plain,
% 4.31/4.57 (~v904(constB11, bitIndex0)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7051, 7044])).
% 4.31/4.57 tff(7053,assumption,(~v904(constB11, bitIndex0)), introduced(assumption)).
% 4.31/4.57 tff(7054,assumption,(v25(constB11, bitIndex0)), introduced(assumption)).
% 4.31/4.57 tff(7055,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB10) | (~nextState(constB10, constB11)) | (~v898(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB10) | (~nextState(constB10, constB11)) | (~v898(constB11)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7056,plain,
% 4.31/4.57 (((~nextState(constB10, constB11)) | v1(constB10) | (~v898(constB11))) <=> (v1(constB10) | (~nextState(constB10, constB11)) | (~v898(constB11)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7057,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB10, constB11)) | v1(constB10) | (~v898(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB10) | (~nextState(constB10, constB11)) | (~v898(constB11))))),
% 4.31/4.57 inference(monotonicity,[status(thm)],[7056])).
% 4.31/4.57 tff(7058,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB10, constB11)) | v1(constB10) | (~v898(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB10) | (~nextState(constB10, constB11)) | (~v898(constB11)))),
% 4.31/4.57 inference(transitivity,[status(thm)],[7057, 7055])).
% 4.31/4.57 tff(7059,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB10, constB11)) | v1(constB10) | (~v898(constB11)))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7060,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB10) | (~nextState(constB10, constB11)) | (~v898(constB11))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7059, 7058])).
% 4.31/4.57 tff(7061,plain,
% 4.31/4.57 (~v898(constB11)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7060, 3474, 154, 151])).
% 4.31/4.57 tff(7062,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB10, constB11)) | v896(constB11) | v898(constB11))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB10, constB11)) | v896(constB11) | v898(constB11))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7063,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB10, constB11)) | v896(constB11) | v898(constB11))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7064,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB10, constB11)) | v896(constB11) | v898(constB11)),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7063, 7062])).
% 4.31/4.57 tff(7065,plain,
% 4.31/4.57 (v896(constB11) | v898(constB11)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7064, 3491, 154])).
% 4.31/4.57 tff(7066,plain,
% 4.31/4.57 (v896(constB11)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7065, 7061])).
% 4.31/4.57 tff(7067,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB10, constB11)) | (~v1(constB11)) | v895(constB11) | (~v896(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB10, constB11)) | (~v1(constB11)) | v895(constB11) | (~v896(constB11)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7068,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB10, constB11)) | (~v1(constB11)) | v895(constB11) | (~v896(constB11)))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7069,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB10, constB11)) | (~v1(constB11)) | v895(constB11) | (~v896(constB11))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7068, 7067])).
% 4.31/4.57 tff(7070,plain,
% 4.31/4.57 (v895(constB11) | (~v896(constB11))),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7069, 3506, 154, 196])).
% 4.31/4.57 tff(7071,plain,
% 4.31/4.57 (v895(constB11)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7070, 7066])).
% 4.31/4.57 tff(7072,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB10, constB11)) | v894(constB11) | (~v895(constB11)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB10, constB11)) | v894(constB11) | (~v895(constB11)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7073,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB10, constB11)) | v894(constB11) | (~v895(constB11)))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7074,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB10, constB11)) | v894(constB11) | (~v895(constB11))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7073, 7072])).
% 4.31/4.57 tff(7075,plain,
% 4.31/4.57 (v894(constB11) | (~v895(constB11))),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7074, 3521, 154])).
% 4.31/4.57 tff(7076,plain,
% 4.31/4.57 (v894(constB11)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7075, 7071])).
% 4.31/4.57 tff(7077,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex0)) | v904(constB11, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex0)) | v904(constB11, bitIndex0))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7078,plain,
% 4.31/4.57 (((~v25(constB11, bitIndex0)) | (~v894(constB11)) | v904(constB11, bitIndex0)) <=> ((~v894(constB11)) | (~v25(constB11, bitIndex0)) | v904(constB11, bitIndex0))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7079,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex0)) | (~v894(constB11)) | v904(constB11, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex0)) | v904(constB11, bitIndex0)))),
% 4.31/4.57 inference(monotonicity,[status(thm)],[7078])).
% 4.31/4.57 tff(7080,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex0)) | (~v894(constB11)) | v904(constB11, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex0)) | v904(constB11, bitIndex0))),
% 4.31/4.57 inference(transitivity,[status(thm)],[7079, 7077])).
% 4.31/4.57 tff(7081,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex0)) | (~v894(constB11)) | v904(constB11, bitIndex0))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7082,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex0)) | v904(constB11, bitIndex0)),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7081, 7080])).
% 4.31/4.57 tff(7083,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7082, 3536, 7076, 7054, 7053])).
% 4.31/4.57 tff(7084,plain,((~v25(constB11, bitIndex0)) | v904(constB11, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7085,plain,
% 4.31/4.57 (~v25(constB11, bitIndex0)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7084, 7052])).
% 4.31/4.57 tff(7086,assumption,(~v25(constB11, bitIndex0)), introduced(assumption)).
% 4.31/4.57 tff(7087,assumption,(v25(constB12, bitIndex0)), introduced(assumption)).
% 4.31/4.57 tff(7088,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB11, constB12)) | v1(constB12) | (~v895(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB11, constB12)) | v1(constB12) | (~v895(constB12)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7089,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB11, constB12)) | v1(constB12) | (~v895(constB12)))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7090,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB11, constB12)) | v1(constB12) | (~v895(constB12))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7089, 7088])).
% 4.31/4.57 tff(7091,plain,
% 4.31/4.57 (~v895(constB12)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7090, 1061, 2349, 2356])).
% 4.31/4.57 tff(7092,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB11, constB12)) | v895(constB12) | (~v894(constB12)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB11, constB12)) | v895(constB12) | (~v894(constB12)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7093,plain,
% 4.31/4.57 (((~nextState(constB11, constB12)) | (~v894(constB12)) | v895(constB12)) <=> ((~nextState(constB11, constB12)) | v895(constB12) | (~v894(constB12)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7094,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB11, constB12)) | (~v894(constB12)) | v895(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB11, constB12)) | v895(constB12) | (~v894(constB12))))),
% 4.31/4.57 inference(monotonicity,[status(thm)],[7093])).
% 4.31/4.57 tff(7095,plain,
% 4.31/4.57 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB11, constB12)) | (~v894(constB12)) | v895(constB12))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB11, constB12)) | v895(constB12) | (~v894(constB12)))),
% 4.31/4.57 inference(transitivity,[status(thm)],[7094, 7092])).
% 4.31/4.57 tff(7096,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB11, constB12)) | (~v894(constB12)) | v895(constB12))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7097,plain,
% 4.31/4.57 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB11, constB12)) | v895(constB12) | (~v894(constB12))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7096, 7095])).
% 4.31/4.57 tff(7098,plain,
% 4.31/4.57 (v895(constB12) | (~v894(constB12))),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7097, 1075, 2349])).
% 4.31/4.57 tff(7099,plain,
% 4.31/4.57 (~v894(constB12)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7098, 7091])).
% 4.31/4.57 tff(7100,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex0) | (~v25(constB12, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex0) | (~v25(constB12, bitIndex0)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7101,plain,
% 4.31/4.57 (((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex0)) | v25(constB11, bitIndex0)) <=> ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex0) | (~v25(constB12, bitIndex0)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7102,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex0)) | v25(constB11, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex0) | (~v25(constB12, bitIndex0))))),
% 4.31/4.57 inference(monotonicity,[status(thm)],[7101])).
% 4.31/4.57 tff(7103,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex0)) | v25(constB11, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex0) | (~v25(constB12, bitIndex0)))),
% 4.31/4.57 inference(transitivity,[status(thm)],[7102, 7100])).
% 4.31/4.57 tff(7104,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex0)) | v25(constB11, bitIndex0))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7105,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex0) | (~v25(constB12, bitIndex0))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7104, 7103])).
% 4.31/4.57 tff(7106,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7105, 1093, 2349, 7099, 7087, 7086])).
% 4.31/4.57 tff(7107,plain,((~v25(constB12, bitIndex0)) | v25(constB11, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7108,plain,
% 4.31/4.57 (~v25(constB12, bitIndex0)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7107, 7085])).
% 4.31/4.57 tff(7109,assumption,(v902(constB10, bitIndex3)), introduced(assumption)).
% 4.31/4.57 tff(7110,plain,
% 4.31/4.57 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex3)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex3)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7111,plain,
% 4.31/4.57 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex3)))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7112,plain,
% 4.31/4.57 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex3))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7111, 7110])).
% 4.31/4.57 tff(7113,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7112, 3438, 7022, 7109])).
% 4.31/4.57 tff(7114,plain,((~v902(constB10, bitIndex3)) | v16(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7115,plain,
% 4.31/4.57 (~v902(constB10, bitIndex3)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7114, 7022])).
% 4.31/4.57 tff(7116,assumption,(v904(constB11, bitIndex3)), introduced(assumption)).
% 4.31/4.57 tff(7117,assumption,(~v902(constB10, bitIndex3)), introduced(assumption)).
% 4.31/4.57 tff(7118,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex3)) | v902(constB10, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex3)) | v902(constB10, bitIndex3))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7119,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex3)) | v902(constB10, bitIndex3))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7120,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex3)) | v902(constB10, bitIndex3)),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7119, 7118])).
% 4.31/4.57 tff(7121,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7120, 3456, 154, 7117, 7116])).
% 4.31/4.57 tff(7122,plain,((~v904(constB11, bitIndex3)) | v902(constB10, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7123,plain,
% 4.31/4.57 (~v904(constB11, bitIndex3)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7122, 7115])).
% 4.31/4.57 tff(7124,assumption,(~v904(constB11, bitIndex3)), introduced(assumption)).
% 4.31/4.57 tff(7125,assumption,(v25(constB11, bitIndex3)), introduced(assumption)).
% 4.31/4.57 tff(7126,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex3)) | v904(constB11, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex3)) | v904(constB11, bitIndex3))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7127,plain,
% 4.31/4.57 (((~v25(constB11, bitIndex3)) | (~v894(constB11)) | v904(constB11, bitIndex3)) <=> ((~v894(constB11)) | (~v25(constB11, bitIndex3)) | v904(constB11, bitIndex3))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7128,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex3)) | (~v894(constB11)) | v904(constB11, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex3)) | v904(constB11, bitIndex3)))),
% 4.31/4.57 inference(monotonicity,[status(thm)],[7127])).
% 4.31/4.57 tff(7129,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex3)) | (~v894(constB11)) | v904(constB11, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex3)) | v904(constB11, bitIndex3))),
% 4.31/4.57 inference(transitivity,[status(thm)],[7128, 7126])).
% 4.31/4.57 tff(7130,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex3)) | (~v894(constB11)) | v904(constB11, bitIndex3))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7131,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex3)) | v904(constB11, bitIndex3)),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7130, 7129])).
% 4.31/4.57 tff(7132,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7131, 3536, 7076, 7125, 7124])).
% 4.31/4.57 tff(7133,plain,((~v25(constB11, bitIndex3)) | v904(constB11, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7134,plain,
% 4.31/4.57 (~v25(constB11, bitIndex3)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7133, 7123])).
% 4.31/4.57 tff(7135,assumption,(~v25(constB11, bitIndex3)), introduced(assumption)).
% 4.31/4.57 tff(7136,assumption,(v25(constB12, bitIndex3)), introduced(assumption)).
% 4.31/4.57 tff(7137,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex3) | (~v25(constB12, bitIndex3)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex3) | (~v25(constB12, bitIndex3)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7138,plain,
% 4.31/4.57 (((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex3)) | v25(constB11, bitIndex3)) <=> ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex3) | (~v25(constB12, bitIndex3)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7139,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex3)) | v25(constB11, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex3) | (~v25(constB12, bitIndex3))))),
% 4.31/4.57 inference(monotonicity,[status(thm)],[7138])).
% 4.31/4.57 tff(7140,plain,
% 4.31/4.57 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex3)) | v25(constB11, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex3) | (~v25(constB12, bitIndex3)))),
% 4.31/4.57 inference(transitivity,[status(thm)],[7139, 7137])).
% 4.31/4.57 tff(7141,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex3)) | v25(constB11, bitIndex3))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7142,plain,
% 4.31/4.57 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex3) | (~v25(constB12, bitIndex3))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7141, 7140])).
% 4.31/4.57 tff(7143,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7142, 1093, 2349, 7099, 7136, 7135])).
% 4.31/4.57 tff(7144,plain,((~v25(constB12, bitIndex3)) | v25(constB11, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7145,plain,
% 4.31/4.57 (~v25(constB12, bitIndex3)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7144, 7134])).
% 4.31/4.57 tff(7146,assumption,(v902(constB10, bitIndex2)), introduced(assumption)).
% 4.31/4.57 tff(7147,plain,
% 4.31/4.57 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex2)))),
% 4.31/4.57 inference(rewrite,[status(thm)],[])).
% 4.31/4.57 tff(7148,plain,
% 4.31/4.57 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex2)))),
% 4.31/4.57 inference(quant_inst,[status(thm)],[])).
% 4.31/4.57 tff(7149,plain,
% 4.31/4.57 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex2))),
% 4.31/4.57 inference(modus_ponens,[status(thm)],[7148, 7147])).
% 4.31/4.57 tff(7150,plain,
% 4.31/4.57 ($false),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7149, 3438, 7022, 7146])).
% 4.31/4.57 tff(7151,plain,((~v902(constB10, bitIndex2)) | v16(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.57 tff(7152,plain,
% 4.31/4.57 (~v902(constB10, bitIndex2)),
% 4.31/4.57 inference(unit_resolution,[status(thm)],[7151, 7022])).
% 4.31/4.57 tff(7153,assumption,(v904(constB11, bitIndex2)), introduced(assumption)).
% 4.31/4.58 tff(7154,assumption,(~v902(constB10, bitIndex2)), introduced(assumption)).
% 4.31/4.58 tff(7155,plain,
% 4.31/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex2)) | v902(constB10, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex2)) | v902(constB10, bitIndex2))),
% 4.31/4.58 inference(rewrite,[status(thm)],[])).
% 4.31/4.58 tff(7156,plain,
% 4.31/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex2)) | v902(constB10, bitIndex2))),
% 4.31/4.58 inference(quant_inst,[status(thm)],[])).
% 4.31/4.58 tff(7157,plain,
% 4.31/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex2)) | v902(constB10, bitIndex2)),
% 4.31/4.58 inference(modus_ponens,[status(thm)],[7156, 7155])).
% 4.31/4.58 tff(7158,plain,
% 4.31/4.58 ($false),
% 4.31/4.58 inference(unit_resolution,[status(thm)],[7157, 3456, 154, 7154, 7153])).
% 4.31/4.58 tff(7159,plain,((~v904(constB11, bitIndex2)) | v902(constB10, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.58 tff(7160,plain,
% 4.31/4.58 (~v904(constB11, bitIndex2)),
% 4.31/4.58 inference(unit_resolution,[status(thm)],[7159, 7152])).
% 4.31/4.58 tff(7161,assumption,(~v904(constB11, bitIndex2)), introduced(assumption)).
% 4.31/4.58 tff(7162,assumption,(v25(constB11, bitIndex2)), introduced(assumption)).
% 4.31/4.58 tff(7163,plain,
% 4.31/4.58 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex2)) | v904(constB11, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex2)) | v904(constB11, bitIndex2))),
% 4.31/4.58 inference(rewrite,[status(thm)],[])).
% 4.31/4.58 tff(7164,plain,
% 4.31/4.58 (((~v25(constB11, bitIndex2)) | (~v894(constB11)) | v904(constB11, bitIndex2)) <=> ((~v894(constB11)) | (~v25(constB11, bitIndex2)) | v904(constB11, bitIndex2))),
% 4.31/4.58 inference(rewrite,[status(thm)],[])).
% 4.31/4.58 tff(7165,plain,
% 4.31/4.58 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex2)) | (~v894(constB11)) | v904(constB11, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex2)) | v904(constB11, bitIndex2)))),
% 4.31/4.58 inference(monotonicity,[status(thm)],[7164])).
% 4.31/4.58 tff(7166,plain,
% 4.31/4.58 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex2)) | (~v894(constB11)) | v904(constB11, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex2)) | v904(constB11, bitIndex2))),
% 4.31/4.58 inference(transitivity,[status(thm)],[7165, 7163])).
% 4.31/4.58 tff(7167,plain,
% 4.31/4.58 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex2)) | (~v894(constB11)) | v904(constB11, bitIndex2))),
% 4.31/4.58 inference(quant_inst,[status(thm)],[])).
% 4.31/4.58 tff(7168,plain,
% 4.31/4.58 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex2)) | v904(constB11, bitIndex2)),
% 4.31/4.58 inference(modus_ponens,[status(thm)],[7167, 7166])).
% 4.31/4.58 tff(7169,plain,
% 4.31/4.58 ($false),
% 4.31/4.58 inference(unit_resolution,[status(thm)],[7168, 3536, 7076, 7162, 7161])).
% 4.31/4.58 tff(7170,plain,((~v25(constB11, bitIndex2)) | v904(constB11, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.58 tff(7171,plain,
% 4.31/4.58 (~v25(constB11, bitIndex2)),
% 4.31/4.58 inference(unit_resolution,[status(thm)],[7170, 7160])).
% 4.31/4.58 tff(7172,assumption,(~v25(constB11, bitIndex2)), introduced(assumption)).
% 4.31/4.58 tff(7173,assumption,(v25(constB12, bitIndex2)), introduced(assumption)).
% 4.31/4.58 tff(7174,plain,
% 4.31/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex2) | (~v25(constB12, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex2) | (~v25(constB12, bitIndex2)))),
% 4.31/4.58 inference(rewrite,[status(thm)],[])).
% 4.31/4.58 tff(7175,plain,
% 4.31/4.58 (((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex2)) | v25(constB11, bitIndex2)) <=> ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex2) | (~v25(constB12, bitIndex2)))),
% 4.31/4.58 inference(rewrite,[status(thm)],[])).
% 4.31/4.58 tff(7176,plain,
% 4.31/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex2)) | v25(constB11, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex2) | (~v25(constB12, bitIndex2))))),
% 4.31/4.58 inference(monotonicity,[status(thm)],[7175])).
% 4.31/4.58 tff(7177,plain,
% 4.31/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex2)) | v25(constB11, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex2) | (~v25(constB12, bitIndex2)))),
% 4.31/4.58 inference(transitivity,[status(thm)],[7176, 7174])).
% 4.31/4.58 tff(7178,plain,
% 4.31/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex2)) | v25(constB11, bitIndex2))),
% 4.31/4.58 inference(quant_inst,[status(thm)],[])).
% 4.31/4.58 tff(7179,plain,
% 4.31/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex2) | (~v25(constB12, bitIndex2))),
% 4.31/4.58 inference(modus_ponens,[status(thm)],[7178, 7177])).
% 4.31/4.58 tff(7180,plain,
% 4.31/4.58 ($false),
% 4.31/4.58 inference(unit_resolution,[status(thm)],[7179, 1093, 2349, 7099, 7173, 7172])).
% 4.31/4.58 tff(7181,plain,((~v25(constB12, bitIndex2)) | v25(constB11, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.58 tff(7182,plain,
% 4.31/4.58 (~v25(constB12, bitIndex2)),
% 4.31/4.58 inference(unit_resolution,[status(thm)],[7181, 7171])).
% 4.31/4.58 tff(7183,assumption,(v902(constB10, bitIndex4)), introduced(assumption)).
% 4.31/4.58 tff(7184,plain,
% 4.31/4.58 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex4)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex4)))),
% 4.31/4.58 inference(rewrite,[status(thm)],[])).
% 4.31/4.58 tff(7185,plain,
% 4.31/4.58 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB10) | (~v902(constB10, bitIndex4)))),
% 4.31/4.58 inference(quant_inst,[status(thm)],[])).
% 4.31/4.58 tff(7186,plain,
% 4.31/4.58 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB10) | (~v902(constB10, bitIndex4))),
% 4.31/4.58 inference(modus_ponens,[status(thm)],[7185, 7184])).
% 4.31/4.58 tff(7187,plain,
% 4.31/4.58 ($false),
% 4.31/4.58 inference(unit_resolution,[status(thm)],[7186, 3438, 7022, 7183])).
% 4.31/4.58 tff(7188,plain,((~v902(constB10, bitIndex4)) | v16(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.31/4.58 tff(7189,plain,
% 4.31/4.58 (~v902(constB10, bitIndex4)),
% 4.31/4.58 inference(unit_resolution,[status(thm)],[7188, 7022])).
% 4.31/4.58 tff(7190,assumption,(v904(constB11, bitIndex4)), introduced(assumption)).
% 4.31/4.58 tff(7191,assumption,(~v902(constB10, bitIndex4)), introduced(assumption)).
% 4.31/4.58 tff(7192,plain,
% 4.31/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex4)) | v902(constB10, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex4)) | v902(constB10, bitIndex4))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7193,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB10, constB11)) | (~v904(constB11, bitIndex4)) | v902(constB10, bitIndex4))),
% 4.41/4.58 inference(quant_inst,[status(thm)],[])).
% 4.41/4.58 tff(7194,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB10, constB11)) | (~v904(constB11, bitIndex4)) | v902(constB10, bitIndex4)),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[7193, 7192])).
% 4.41/4.58 tff(7195,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7194, 3456, 154, 7191, 7190])).
% 4.41/4.58 tff(7196,plain,((~v904(constB11, bitIndex4)) | v902(constB10, bitIndex4)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(7197,plain,
% 4.41/4.58 (~v904(constB11, bitIndex4)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7196, 7189])).
% 4.41/4.58 tff(7198,assumption,(~v904(constB11, bitIndex4)), introduced(assumption)).
% 4.41/4.58 tff(7199,assumption,(v25(constB11, bitIndex4)), introduced(assumption)).
% 4.41/4.58 tff(7200,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex4)) | v904(constB11, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex4)) | v904(constB11, bitIndex4))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7201,plain,
% 4.41/4.58 (((~v25(constB11, bitIndex4)) | (~v894(constB11)) | v904(constB11, bitIndex4)) <=> ((~v894(constB11)) | (~v25(constB11, bitIndex4)) | v904(constB11, bitIndex4))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7202,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex4)) | (~v894(constB11)) | v904(constB11, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex4)) | v904(constB11, bitIndex4)))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[7201])).
% 4.41/4.58 tff(7203,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex4)) | (~v894(constB11)) | v904(constB11, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex4)) | v904(constB11, bitIndex4))),
% 4.41/4.58 inference(transitivity,[status(thm)],[7202, 7200])).
% 4.41/4.58 tff(7204,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex4)) | (~v894(constB11)) | v904(constB11, bitIndex4))),
% 4.41/4.58 inference(quant_inst,[status(thm)],[])).
% 4.41/4.58 tff(7205,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex4)) | v904(constB11, bitIndex4)),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[7204, 7203])).
% 4.41/4.58 tff(7206,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7205, 3536, 7076, 7199, 7198])).
% 4.41/4.58 tff(7207,plain,((~v25(constB11, bitIndex4)) | v904(constB11, bitIndex4)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(7208,plain,
% 4.41/4.58 (~v25(constB11, bitIndex4)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7207, 7197])).
% 4.41/4.58 tff(7209,assumption,(~v25(constB11, bitIndex4)), introduced(assumption)).
% 4.41/4.58 tff(7210,assumption,(v25(constB12, bitIndex4)), introduced(assumption)).
% 4.41/4.58 tff(7211,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex4) | (~v25(constB12, bitIndex4)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex4) | (~v25(constB12, bitIndex4)))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7212,plain,
% 4.41/4.58 (((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex4)) | v25(constB11, bitIndex4)) <=> ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex4) | (~v25(constB12, bitIndex4)))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7213,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex4)) | v25(constB11, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex4) | (~v25(constB12, bitIndex4))))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[7212])).
% 4.41/4.58 tff(7214,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex4)) | v25(constB11, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex4) | (~v25(constB12, bitIndex4)))),
% 4.41/4.58 inference(transitivity,[status(thm)],[7213, 7211])).
% 4.41/4.58 tff(7215,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex4)) | v25(constB11, bitIndex4))),
% 4.41/4.58 inference(quant_inst,[status(thm)],[])).
% 4.41/4.58 tff(7216,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex4) | (~v25(constB12, bitIndex4))),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[7215, 7214])).
% 4.41/4.58 tff(7217,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7216, 1093, 2349, 7099, 7210, 7209])).
% 4.41/4.58 tff(7218,plain,((~v25(constB12, bitIndex4)) | v25(constB11, bitIndex4)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(7219,plain,
% 4.41/4.58 (~v25(constB12, bitIndex4)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7218, 7208])).
% 4.41/4.58 tff(7220,plain,
% 4.41/4.58 (v911(constB12) | v25(constB12, bitIndex4) | v25(constB12, bitIndex3) | v25(constB12, bitIndex2) | v25(constB12, bitIndex0) | v25(constB12, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2580, 522, 2182])).
% 4.41/4.58 tff(7221,plain,
% 4.41/4.58 (v25(constB12, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7220, 7219, 2574, 7182, 7145, 7108])).
% 4.41/4.58 tff(7222,assumption,(~v25(constB11, bitIndex1)), introduced(assumption)).
% 4.41/4.58 tff(7223,assumption,(v25(constB12, bitIndex1)), introduced(assumption)).
% 4.41/4.58 tff(7224,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex1) | (~v25(constB12, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex1) | (~v25(constB12, bitIndex1)))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7225,plain,
% 4.41/4.58 (((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex1)) | v25(constB11, bitIndex1)) <=> ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex1) | (~v25(constB12, bitIndex1)))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7226,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex1)) | v25(constB11, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex1) | (~v25(constB12, bitIndex1))))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[7225])).
% 4.41/4.58 tff(7227,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex1)) | v25(constB11, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex1) | (~v25(constB12, bitIndex1)))),
% 4.41/4.58 inference(transitivity,[status(thm)],[7226, 7224])).
% 4.41/4.58 tff(7228,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB11, constB12)) | v894(constB12) | (~v25(constB12, bitIndex1)) | v25(constB11, bitIndex1))),
% 4.41/4.58 inference(quant_inst,[status(thm)],[])).
% 4.41/4.58 tff(7229,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB11, constB12)) | v894(constB12) | v25(constB11, bitIndex1) | (~v25(constB12, bitIndex1))),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[7228, 7227])).
% 4.41/4.58 tff(7230,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7229, 1093, 2349, 7099, 7223, 7222])).
% 4.41/4.58 tff(7231,plain,((~v25(constB12, bitIndex1)) | v25(constB11, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(7232,plain,
% 4.41/4.58 (v25(constB11, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7231, 7221])).
% 4.41/4.58 tff(7233,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex1)) | v904(constB11, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex1)) | v904(constB11, bitIndex1))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7234,plain,
% 4.41/4.58 (((~v25(constB11, bitIndex1)) | (~v894(constB11)) | v904(constB11, bitIndex1)) <=> ((~v894(constB11)) | (~v25(constB11, bitIndex1)) | v904(constB11, bitIndex1))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7235,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex1)) | (~v894(constB11)) | v904(constB11, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB11)) | (~v25(constB11, bitIndex1)) | v904(constB11, bitIndex1)))),
% 4.41/4.58 inference(monotonicity,[status(thm)],[7234])).
% 4.41/4.58 tff(7236,plain,
% 4.41/4.58 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex1)) | (~v894(constB11)) | v904(constB11, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex1)) | v904(constB11, bitIndex1))),
% 4.41/4.58 inference(transitivity,[status(thm)],[7235, 7233])).
% 4.41/4.58 tff(7237,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB11, bitIndex1)) | (~v894(constB11)) | v904(constB11, bitIndex1))),
% 4.41/4.58 inference(quant_inst,[status(thm)],[])).
% 4.41/4.58 tff(7238,plain,
% 4.41/4.58 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB11)) | (~v25(constB11, bitIndex1)) | v904(constB11, bitIndex1)),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[7237, 7236])).
% 4.41/4.58 tff(7239,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7238, 3536, 7076, 7232, 7037])).
% 4.41/4.58 tff(7240,plain,(v16(constB10) | v911(constB12) | (~v6(constB12, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(7241,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7240, 7021, 6964, 2574])).
% 4.41/4.58 tff(7242,plain,((~(constB12 = sK293_VarCurr)) | v911(constB12) | v6(constB10, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(7243,plain,
% 4.41/4.58 (~(constB12 = sK293_VarCurr)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7242, 5161, 2574])).
% 4.41/4.58 tff(7244,plain,
% 4.41/4.58 (v6(constB17, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6501, 3917, 3268, 3426, 3951, 3950, 3877, 2180, 3424, 2181, 2090, 3267, 3878, 3423, 3876])).
% 4.41/4.58 tff(7245,plain,
% 4.41/4.58 (v949(constB17)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5333, 7244])).
% 4.41/4.58 tff(7246,plain,
% 4.41/4.58 (v947(constB16)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5338, 7245])).
% 4.41/4.58 tff(7247,plain,
% 4.41/4.58 (v19(constB16, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5353, 7246])).
% 4.41/4.58 tff(7248,assumption,(v911(constB16)), introduced(assumption)).
% 4.41/4.58 tff(7249,plain,
% 4.41/4.58 (~v25(constB16, bitIndex4)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5628, 5280, 7248])).
% 4.41/4.58 tff(7250,plain,
% 4.41/4.58 (~v25(constB16, bitIndex3)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5635, 5258, 7248])).
% 4.41/4.58 tff(7251,plain,
% 4.41/4.58 (~v25(constB16, bitIndex2)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5642, 5291, 7248])).
% 4.41/4.58 tff(7252,plain,
% 4.41/4.58 (~v25(constB16, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5649, 5247, 7248])).
% 4.41/4.58 tff(7253,plain,
% 4.41/4.58 (~v25(constB16, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5656, 5269, 7248])).
% 4.41/4.58 tff(7254,plain,
% 4.41/4.58 (~v918(constB16)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5663, 4630, 7253, 7252, 7251, 7250, 7249])).
% 4.41/4.58 tff(7255,plain,
% 4.41/4.58 (v6(constB16, bitIndex1) | v918(constB16)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5079, 747, 4808])).
% 4.41/4.58 tff(7256,plain,
% 4.41/4.58 (v6(constB16, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7255, 7254])).
% 4.41/4.58 tff(7257,plain,
% 4.41/4.58 (v6(constB15, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5069, 7256])).
% 4.41/4.58 tff(7258,plain,
% 4.41/4.58 (v949(constB15)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5060, 7257])).
% 4.41/4.58 tff(7259,plain,
% 4.41/4.58 (v947(constB14)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5052, 7258])).
% 4.41/4.58 tff(7260,plain,
% 4.41/4.58 (v16(constB14)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5001, 1913, 7259])).
% 4.41/4.58 tff(7261,plain,
% 4.41/4.58 (v19(constB14, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5008, 4063, 7259, 7260])).
% 4.41/4.58 tff(7262,plain,
% 4.41/4.58 (v6(constB16, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5084, 2097, 7248])).
% 4.41/4.58 tff(7263,plain,
% 4.41/4.58 (v6(constB15, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5102, 7262])).
% 4.41/4.58 tff(7264,plain,
% 4.41/4.58 (v935(constB15)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5466, 7263])).
% 4.41/4.58 tff(7265,plain,
% 4.41/4.58 (v933(constB14)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5471, 7264])).
% 4.41/4.58 tff(7266,plain,
% 4.41/4.58 ((~v16(constB14)) | v19(constB14, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5478, 4749, 7265])).
% 4.41/4.58 tff(7267,plain,
% 4.41/4.58 (v19(constB14, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7266, 7260])).
% 4.41/4.58 tff(7268,plain,
% 4.41/4.58 (v6(constB14, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5536, 7267, 7261])).
% 4.41/4.58 tff(7269,plain,
% 4.41/4.58 (v6(constB13, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5038, 7268])).
% 4.41/4.58 tff(7270,plain,
% 4.41/4.58 (v949(constB13)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5545, 7269])).
% 4.41/4.58 tff(7271,plain,
% 4.41/4.58 (v947(constB12)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5550, 7270])).
% 4.41/4.58 tff(7272,plain,
% 4.41/4.58 (v16(constB12)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5554, 1913, 7271])).
% 4.41/4.58 tff(7273,plain,
% 4.41/4.58 (v19(constB12, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5604, 4063, 7271, 7272])).
% 4.41/4.58 tff(7274,plain,
% 4.41/4.58 (v6(constB14, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5575, 7267, 7261])).
% 4.41/4.58 tff(7275,plain,
% 4.41/4.58 (v6(constB13, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5024, 7274])).
% 4.41/4.58 tff(7276,plain,
% 4.41/4.58 (v935(constB13)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5584, 7275])).
% 4.41/4.58 tff(7277,plain,
% 4.41/4.58 (v933(constB12)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5589, 7276])).
% 4.41/4.58 tff(7278,plain,
% 4.41/4.58 ((~v16(constB12)) | v19(constB12, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5596, 4749, 7277])).
% 4.41/4.58 tff(7279,plain,
% 4.41/4.58 (v19(constB12, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7278, 7272])).
% 4.41/4.58 tff(7280,plain,
% 4.41/4.58 (v6(constB12, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6791, 7279, 7273])).
% 4.41/4.58 tff(7281,plain,
% 4.41/4.58 (v6(constB11, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6800, 7280])).
% 4.41/4.58 tff(7282,plain,
% 4.41/4.58 (v949(constB11)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6808, 7281])).
% 4.41/4.58 tff(7283,plain,
% 4.41/4.58 (v947(constB10)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6813, 7282])).
% 4.41/4.58 tff(7284,plain,
% 4.41/4.58 (v19(constB10, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4403, 7283])).
% 4.41/4.58 tff(7285,plain,
% 4.41/4.58 (v16(constB10)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4401, 1913, 7283])).
% 4.41/4.58 tff(7286,plain,
% 4.41/4.58 (v6(constB12, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5694, 7279, 7273])).
% 4.41/4.58 tff(7287,plain,
% 4.41/4.58 (v6(constB11, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6825, 7286])).
% 4.41/4.58 tff(7288,plain,
% 4.41/4.58 (v935(constB11)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6833, 7287])).
% 4.41/4.58 tff(7289,plain,
% 4.41/4.58 (v933(constB10)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6838, 7288])).
% 4.41/4.58 tff(7290,plain,
% 4.41/4.58 (v19(constB10, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6845, 4749, 7289, 7285])).
% 4.41/4.58 tff(7291,plain,
% 4.41/4.58 (v911(constB10)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6884, 7290, 1344, 7284])).
% 4.41/4.58 tff(7292,plain,
% 4.41/4.58 (~v918(constB10)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6931, 7291])).
% 4.41/4.58 tff(7293,plain,
% 4.41/4.58 (v6(constB10, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4692, 747, 7292, 7284])).
% 4.41/4.58 tff(7294,plain,
% 4.41/4.58 (v6(constB9, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2250, 7293])).
% 4.41/4.58 tff(7295,plain,
% 4.41/4.58 (v949(constB9)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4686, 7294])).
% 4.41/4.58 tff(7296,plain,
% 4.41/4.58 (v947(constB8)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4678, 7295])).
% 4.41/4.58 tff(7297,plain,
% 4.41/4.58 (v16(constB8)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5857, 1913, 7296])).
% 4.41/4.58 tff(7298,plain,
% 4.41/4.58 (v6(constB10, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2231, 2097, 7291])).
% 4.41/4.58 tff(7299,plain,
% 4.41/4.58 (v6(constB9, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2227, 7298])).
% 4.41/4.58 tff(7300,plain,
% 4.41/4.58 (v935(constB9)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4723, 7299])).
% 4.41/4.58 tff(7301,plain,
% 4.41/4.58 (v933(constB8)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4738, 7300])).
% 4.41/4.58 tff(7302,plain,
% 4.41/4.58 (v19(constB8, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4755, 4749, 7301, 7297])).
% 4.41/4.58 tff(7303,plain,
% 4.41/4.58 (v19(constB8, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5859, 7296])).
% 4.41/4.58 tff(7304,plain,
% 4.41/4.58 (v16(constB6)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6946, 7303, 1316])).
% 4.41/4.58 tff(7305,plain,
% 4.41/4.58 (~v947(constB6)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6044, 7304])).
% 4.41/4.58 tff(7306,plain,
% 4.41/4.58 (~v949(constB7)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4426, 7305])).
% 4.41/4.58 tff(7307,plain,
% 4.41/4.58 (~v6(constB7, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4444, 7306])).
% 4.41/4.58 tff(7308,plain,
% 4.41/4.58 (~v6(constB8, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4453, 7307])).
% 4.41/4.58 tff(7309,plain,
% 4.41/4.58 ((~v19(constB8, bitIndex0)) | v911(constB8)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4704, 2111, 7308])).
% 4.41/4.58 tff(7310,plain,
% 4.41/4.58 (v911(constB8)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7309, 7302])).
% 4.41/4.58 tff(7311,plain,
% 4.41/4.58 (~v25(constB8, bitIndex2)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5815, 5291, 7310])).
% 4.41/4.58 tff(7312,plain,
% 4.41/4.58 (~v25(constB8, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5822, 5269, 7310])).
% 4.41/4.58 tff(7313,plain,
% 4.41/4.58 (~v25(constB8, bitIndex4)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5829, 5280, 7310])).
% 4.41/4.58 tff(7314,plain,
% 4.41/4.58 (~v25(constB8, bitIndex3)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5837, 5258, 7310])).
% 4.41/4.58 tff(7315,plain,
% 4.41/4.58 (~v25(constB8, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5782, 5247, 7310])).
% 4.41/4.58 tff(7316,plain,
% 4.41/4.58 (v918(constB8)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[4464, 747, 7308, 7303])).
% 4.41/4.58 tff(7317,plain,
% 4.41/4.58 (v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5787, 4630, 7316])).
% 4.41/4.58 tff(7318,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7317, 7315, 7314, 7313, 7312, 7311])).
% 4.41/4.58 tff(7319,plain,((~v911(constB16)) | v19(constB6, bitIndex1) | (~v6(constB4, bitIndex0)) | (~v19(constB16, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(7320,plain,
% 4.41/4.58 (~v911(constB16)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7319, 7247, 1316, 1344])).
% 4.41/4.58 tff(7321,plain,
% 4.41/4.58 (v6(constB12, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5621, 2912, 4316, 7247])).
% 4.41/4.58 tff(7322,plain,
% 4.41/4.58 (v6(constB11, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6825, 7321])).
% 4.41/4.58 tff(7323,plain,
% 4.41/4.58 (v935(constB11)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6833, 7322])).
% 4.41/4.58 tff(7324,plain,
% 4.41/4.58 (v933(constB10)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6838, 7323])).
% 4.41/4.58 tff(7325,plain,
% 4.41/4.58 (v6(constB17, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6501, 3268, 3917, 3426, 3951, 3950, 3877, 2180, 3424, 2181, 2090, 3267, 3878, 3423, 3876])).
% 4.41/4.58 tff(7326,plain,
% 4.41/4.58 (v949(constB17)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5333, 7325])).
% 4.41/4.58 tff(7327,plain,
% 4.41/4.58 (v947(constB16)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5338, 7326])).
% 4.41/4.58 tff(7328,plain,
% 4.41/4.58 (v19(constB16, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5353, 7327])).
% 4.41/4.58 tff(7329,plain,
% 4.41/4.58 ((~v19(constB16, bitIndex1)) | (~v702(constB16))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5455, 5373, 2870])).
% 4.41/4.58 tff(7330,plain,
% 4.41/4.58 (~v702(constB16)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7329, 7328])).
% 4.41/4.58 tff(7331,plain,
% 4.41/4.58 (v702(constB16) | (~v19(constB16, bitIndex0))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5447, 5391, 2912])).
% 4.41/4.58 tff(7332,plain,
% 4.41/4.58 (~v19(constB16, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7331, 7330])).
% 4.41/4.58 tff(7333,plain,
% 4.41/4.58 (v16(constB16)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5351, 1913, 7327])).
% 4.41/4.58 tff(7334,plain,
% 4.41/4.58 (~v933(constB16)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5427, 4749, 7333, 7332])).
% 4.41/4.58 tff(7335,plain,
% 4.41/4.58 (~v935(constB17)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5419, 7334])).
% 4.41/4.58 tff(7336,plain,
% 4.41/4.58 (~v6(constB17, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5414, 7335])).
% 4.41/4.58 tff(7337,plain,
% 4.41/4.58 (~(constB17 = sK293_VarCurr)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6564, 7336])).
% 4.41/4.58 tff(7338,plain,
% 4.41/4.58 (~v6(constB18, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5406, 7336])).
% 4.41/4.58 tff(7339,plain,
% 4.41/4.58 (~(constB18 = sK293_VarCurr)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6515, 7338])).
% 4.41/4.58 tff(7340,plain,
% 4.41/4.58 (constB20 = sK293_VarCurr),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6450, 7339, 6439, 6431, 6422, 3423, 3878, 3917, 3426, 3951, 3950, 3877, 2180, 3424, 2181, 2090, 3267, 3268, 7337, 3876])).
% 4.41/4.58 tff(7341,plain,
% 4.41/4.58 (v6(constB20, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.41/4.58 inference(monotonicity,[status(thm)],[7340])).
% 4.41/4.58 tff(7342,plain,
% 4.41/4.58 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB20, bitIndex1)),
% 4.41/4.58 inference(symmetry,[status(thm)],[7341])).
% 4.41/4.58 tff(7343,plain,
% 4.41/4.58 (v6(constB20, bitIndex1)),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[5182, 7342])).
% 4.41/4.58 tff(7344,plain,
% 4.41/4.58 (v6(constB19, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6462, 7343])).
% 4.41/4.58 tff(7345,plain,
% 4.41/4.58 (v949(constB19)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5201, 7344])).
% 4.41/4.58 tff(7346,plain,
% 4.41/4.58 (v947(constB18)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5206, 7345])).
% 4.41/4.58 tff(7347,plain,
% 4.41/4.58 (v16(constB18)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5210, 1913, 7346])).
% 4.41/4.58 tff(7348,plain,
% 4.41/4.58 (v6(constB20, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.41/4.58 inference(monotonicity,[status(thm)],[7340])).
% 4.41/4.58 tff(7349,plain,
% 4.41/4.58 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB20, bitIndex0)),
% 4.41/4.58 inference(symmetry,[status(thm)],[7348])).
% 4.41/4.58 tff(7350,plain,
% 4.41/4.58 (v6(constB20, bitIndex0)),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[5213, 7349])).
% 4.41/4.58 tff(7351,plain,
% 4.41/4.58 (v6(constB19, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[6477, 7350])).
% 4.41/4.58 tff(7352,plain,
% 4.41/4.58 (v935(constB19)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5221, 7351])).
% 4.41/4.58 tff(7353,plain,
% 4.41/4.58 (v933(constB18)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5226, 7352])).
% 4.41/4.58 tff(7354,plain,
% 4.41/4.58 (v19(constB18, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5233, 4749, 7353, 7347])).
% 4.41/4.58 tff(7355,plain,
% 4.41/4.58 (v19(constB18, bitIndex1)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5301, 4063, 7346, 7347])).
% 4.41/4.58 tff(7356,plain,
% 4.41/4.58 (~v918(constB18)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5362, 645, 7338])).
% 4.41/4.58 tff(7357,plain,
% 4.41/4.58 ((~v19(constB18, bitIndex1)) | (~v702(constB18))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5379, 5373, 7356])).
% 4.41/4.58 tff(7358,plain,
% 4.41/4.58 (~v702(constB18)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7357, 7355])).
% 4.41/4.58 tff(7359,plain,
% 4.41/4.58 (~v911(constB18)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5358, 2097, 7338])).
% 4.41/4.58 tff(7360,plain,
% 4.41/4.58 (v702(constB18) | (~v19(constB18, bitIndex0))),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5394, 5391, 7359])).
% 4.41/4.58 tff(7361,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7360, 7358, 7354])).
% 4.41/4.58 tff(7362,plain,((constB4 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | v911(constB16) | v918(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(7363,plain,
% 4.41/4.58 (v918(constB16)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7362, 2912, 3268, 3878, 3426, 3951, 3950, 3877, 2180, 3424, 2181, 2090, 3423, 3876, 3267, 3917])).
% 4.41/4.58 tff(7364,plain,
% 4.41/4.58 (v6(constB16, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5074, 645, 7363])).
% 4.41/4.58 tff(7365,plain,
% 4.41/4.58 (v6(constB15, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5102, 7364])).
% 4.41/4.58 tff(7366,plain,
% 4.41/4.58 (v935(constB15)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5466, 7365])).
% 4.41/4.58 tff(7367,plain,
% 4.41/4.58 (v933(constB14)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[5471, 7366])).
% 4.41/4.58 tff(7368,assumption,(v933(constB14)), introduced(assumption)).
% 4.41/4.58 tff(7369,plain,
% 4.41/4.58 (v935(constB15)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2980, 7368])).
% 4.41/4.58 tff(7370,plain,
% 4.41/4.58 (v6(constB15, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2975, 7369])).
% 4.41/4.58 tff(7371,plain,
% 4.41/4.58 (v6(constB16, bitIndex0)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[2942, 7370])).
% 4.41/4.58 tff(7372,assumption,(~v16(constB14)), introduced(assumption)).
% 4.41/4.58 tff(7373,assumption,(v902(constB14, bitIndex2)), introduced(assumption)).
% 4.41/4.58 tff(7374,plain,
% 4.41/4.58 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex2)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex2)))),
% 4.41/4.58 inference(rewrite,[status(thm)],[])).
% 4.41/4.58 tff(7375,plain,
% 4.41/4.58 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex2)))),
% 4.41/4.58 inference(quant_inst,[status(thm)],[])).
% 4.41/4.58 tff(7376,plain,
% 4.41/4.58 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex2))),
% 4.41/4.58 inference(modus_ponens,[status(thm)],[7375, 7374])).
% 4.41/4.58 tff(7377,plain,
% 4.41/4.58 ($false),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7376, 3438, 7372, 7373])).
% 4.41/4.58 tff(7378,plain,((~v902(constB14, bitIndex2)) | v16(constB14)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.58 tff(7379,plain,
% 4.41/4.58 (~v902(constB14, bitIndex2)),
% 4.41/4.58 inference(unit_resolution,[status(thm)],[7378, 7372])).
% 4.41/4.58 tff(7380,assumption,(v904(constB15, bitIndex2)), introduced(assumption)).
% 4.41/4.59 tff(7381,assumption,(~v902(constB14, bitIndex2)), introduced(assumption)).
% 4.41/4.59 tff(7382,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex2)) | v902(constB14, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex2)) | v902(constB14, bitIndex2))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7383,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex2)) | v902(constB14, bitIndex2))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7384,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex2)) | v902(constB14, bitIndex2)),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7383, 7382])).
% 4.41/4.59 tff(7385,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7384, 3456, 2600, 7381, 7380])).
% 4.41/4.59 tff(7386,plain,((~v904(constB15, bitIndex2)) | v902(constB14, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7387,plain,
% 4.41/4.59 (~v904(constB15, bitIndex2)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7386, 7379])).
% 4.41/4.59 tff(7388,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB14) | (~nextState(constB14, constB15)) | (~v898(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB14) | (~nextState(constB14, constB15)) | (~v898(constB15)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7389,plain,
% 4.41/4.59 (((~nextState(constB14, constB15)) | v1(constB14) | (~v898(constB15))) <=> (v1(constB14) | (~nextState(constB14, constB15)) | (~v898(constB15)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7390,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB14, constB15)) | v1(constB14) | (~v898(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | (v1(constB14) | (~nextState(constB14, constB15)) | (~v898(constB15))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[7389])).
% 4.41/4.59 tff(7391,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB14, constB15)) | v1(constB14) | (~v898(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB14) | (~nextState(constB14, constB15)) | (~v898(constB15)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[7390, 7388])).
% 4.41/4.59 tff(7392,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | ((~nextState(constB14, constB15)) | v1(constB14) | (~v898(constB15)))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7393,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarCurr) | (~v898(VarNext)))) | v1(constB14) | (~nextState(constB14, constB15)) | (~v898(constB15))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7392, 7391])).
% 4.41/4.59 tff(7394,plain,
% 4.41/4.59 (~v898(constB15)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7393, 3474, 2600, 2376])).
% 4.41/4.59 tff(7395,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB14, constB15)) | v896(constB15) | v898(constB15))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB14, constB15)) | v896(constB15) | v898(constB15))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7396,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | ((~nextState(constB14, constB15)) | v896(constB15) | v898(constB15))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7397,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v896(VarNext) | v898(VarNext))) | (~nextState(constB14, constB15)) | v896(constB15) | v898(constB15)),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7396, 7395])).
% 4.41/4.59 tff(7398,plain,
% 4.41/4.59 (v896(constB15) | v898(constB15)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7397, 3491, 2600])).
% 4.41/4.59 tff(7399,plain,
% 4.41/4.59 (v896(constB15)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7398, 7394])).
% 4.41/4.59 tff(7400,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB14, constB15)) | (~v1(constB15)) | v895(constB15) | (~v896(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB14, constB15)) | (~v1(constB15)) | v895(constB15) | (~v896(constB15)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7401,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | ((~nextState(constB14, constB15)) | (~v1(constB15)) | v895(constB15) | (~v896(constB15)))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7402,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v1(VarNext)) | v895(VarNext) | (~v896(VarNext)))) | (~nextState(constB14, constB15)) | (~v1(constB15)) | v895(constB15) | (~v896(constB15))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7401, 7400])).
% 4.41/4.59 tff(7403,plain,
% 4.41/4.59 (v895(constB15) | (~v896(constB15))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7402, 3506, 2600, 2607])).
% 4.41/4.59 tff(7404,plain,
% 4.41/4.59 (v895(constB15)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7403, 7399])).
% 4.41/4.59 tff(7405,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB14, constB15)) | v894(constB15) | (~v895(constB15)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB14, constB15)) | v894(constB15) | (~v895(constB15)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7406,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | ((~nextState(constB14, constB15)) | v894(constB15) | (~v895(constB15)))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7407,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v895(VarNext)))) | (~nextState(constB14, constB15)) | v894(constB15) | (~v895(constB15))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7406, 7405])).
% 4.41/4.59 tff(7408,plain,
% 4.41/4.59 (v894(constB15) | (~v895(constB15))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7407, 3521, 2600])).
% 4.41/4.59 tff(7409,plain,
% 4.41/4.59 (v894(constB15)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7408, 7404])).
% 4.41/4.59 tff(7410,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex2)) | v904(constB15, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex2)) | v904(constB15, bitIndex2))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7411,plain,
% 4.41/4.59 (((~v25(constB15, bitIndex2)) | (~v894(constB15)) | v904(constB15, bitIndex2)) <=> ((~v894(constB15)) | (~v25(constB15, bitIndex2)) | v904(constB15, bitIndex2))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7412,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex2)) | (~v894(constB15)) | v904(constB15, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex2)) | v904(constB15, bitIndex2)))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[7411])).
% 4.41/4.59 tff(7413,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex2)) | (~v894(constB15)) | v904(constB15, bitIndex2))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex2)) | v904(constB15, bitIndex2))),
% 4.41/4.59 inference(transitivity,[status(thm)],[7412, 7410])).
% 4.41/4.59 tff(7414,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex2)) | (~v894(constB15)) | v904(constB15, bitIndex2))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7415,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex2)) | v904(constB15, bitIndex2)),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7414, 7413])).
% 4.41/4.59 tff(7416,plain,
% 4.41/4.59 (~v25(constB15, bitIndex2)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7415, 3536, 7409, 7387])).
% 4.41/4.59 tff(7417,assumption,(~v25(constB15, bitIndex2)), introduced(assumption)).
% 4.41/4.59 tff(7418,assumption,(v25(constB16, bitIndex2)), introduced(assumption)).
% 4.41/4.59 tff(7419,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB15, constB16)) | v1(constB16) | (~v895(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB15, constB16)) | v1(constB16) | (~v895(constB16)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7420,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | ((~nextState(constB15, constB16)) | v1(constB16) | (~v895(constB16)))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7421,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v1(VarNext) | (~v895(VarNext)))) | (~nextState(constB15, constB16)) | v1(constB16) | (~v895(constB16))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7420, 7419])).
% 4.41/4.59 tff(7422,plain,
% 4.41/4.59 (~v895(constB16)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7421, 1061, 2610, 2617])).
% 4.41/4.59 tff(7423,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB15, constB16)) | v895(constB16) | (~v894(constB16)))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB15, constB16)) | v895(constB16) | (~v894(constB16)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7424,plain,
% 4.41/4.59 (((~nextState(constB15, constB16)) | (~v894(constB16)) | v895(constB16)) <=> ((~nextState(constB15, constB16)) | v895(constB16) | (~v894(constB16)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7425,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB15, constB16)) | (~v894(constB16)) | v895(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB15, constB16)) | v895(constB16) | (~v894(constB16))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[7424])).
% 4.41/4.59 tff(7426,plain,
% 4.41/4.59 (((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB15, constB16)) | (~v894(constB16)) | v895(constB16))) <=> ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB15, constB16)) | v895(constB16) | (~v894(constB16)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[7425, 7423])).
% 4.41/4.59 tff(7427,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | ((~nextState(constB15, constB16)) | (~v894(constB16)) | v895(constB16))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7428,plain,
% 4.41/4.59 ((~![VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v894(VarNext)) | v895(VarNext))) | (~nextState(constB15, constB16)) | v895(constB16) | (~v894(constB16))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7427, 7426])).
% 4.41/4.59 tff(7429,plain,
% 4.41/4.59 (v895(constB16) | (~v894(constB16))),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7428, 1075, 2610])).
% 4.41/4.59 tff(7430,plain,
% 4.41/4.59 (~v894(constB16)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7429, 7422])).
% 4.41/4.59 tff(7431,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex2) | (~v25(constB16, bitIndex2)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex2) | (~v25(constB16, bitIndex2)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7432,plain,
% 4.41/4.59 (((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex2)) | v25(constB15, bitIndex2)) <=> ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex2) | (~v25(constB16, bitIndex2)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7433,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex2)) | v25(constB15, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex2) | (~v25(constB16, bitIndex2))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[7432])).
% 4.41/4.59 tff(7434,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex2)) | v25(constB15, bitIndex2))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex2) | (~v25(constB16, bitIndex2)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[7433, 7431])).
% 4.41/4.59 tff(7435,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex2)) | v25(constB15, bitIndex2))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7436,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex2) | (~v25(constB16, bitIndex2))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7435, 7434])).
% 4.41/4.59 tff(7437,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7436, 1093, 2610, 7430, 7418, 7417])).
% 4.41/4.59 tff(7438,plain,((~v25(constB16, bitIndex2)) | v25(constB15, bitIndex2)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7439,plain,
% 4.41/4.59 (~v25(constB16, bitIndex2)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7438, 7416])).
% 4.41/4.59 tff(7440,assumption,(v902(constB14, bitIndex1)), introduced(assumption)).
% 4.41/4.59 tff(7441,plain,
% 4.41/4.59 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex1)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex1)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7442,plain,
% 4.41/4.59 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex1)))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7443,plain,
% 4.41/4.59 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex1))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7442, 7441])).
% 4.41/4.59 tff(7444,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7443, 3438, 7372, 7440])).
% 4.41/4.59 tff(7445,plain,((~v902(constB14, bitIndex1)) | v16(constB14)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7446,plain,
% 4.41/4.59 (~v902(constB14, bitIndex1)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7445, 7372])).
% 4.41/4.59 tff(7447,assumption,(v904(constB15, bitIndex1)), introduced(assumption)).
% 4.41/4.59 tff(7448,assumption,(~v902(constB14, bitIndex1)), introduced(assumption)).
% 4.41/4.59 tff(7449,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex1)) | v902(constB14, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex1)) | v902(constB14, bitIndex1))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7450,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex1)) | v902(constB14, bitIndex1))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7451,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex1)) | v902(constB14, bitIndex1)),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7450, 7449])).
% 4.41/4.59 tff(7452,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7451, 3456, 2600, 7448, 7447])).
% 4.41/4.59 tff(7453,plain,((~v904(constB15, bitIndex1)) | v902(constB14, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7454,plain,
% 4.41/4.59 (~v904(constB15, bitIndex1)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7453, 7446])).
% 4.41/4.59 tff(7455,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex1)) | v904(constB15, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex1)) | v904(constB15, bitIndex1))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7456,plain,
% 4.41/4.59 (((~v25(constB15, bitIndex1)) | (~v894(constB15)) | v904(constB15, bitIndex1)) <=> ((~v894(constB15)) | (~v25(constB15, bitIndex1)) | v904(constB15, bitIndex1))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7457,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex1)) | (~v894(constB15)) | v904(constB15, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex1)) | v904(constB15, bitIndex1)))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[7456])).
% 4.41/4.59 tff(7458,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex1)) | (~v894(constB15)) | v904(constB15, bitIndex1))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex1)) | v904(constB15, bitIndex1))),
% 4.41/4.59 inference(transitivity,[status(thm)],[7457, 7455])).
% 4.41/4.59 tff(7459,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex1)) | (~v894(constB15)) | v904(constB15, bitIndex1))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7460,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex1)) | v904(constB15, bitIndex1)),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7459, 7458])).
% 4.41/4.59 tff(7461,plain,
% 4.41/4.59 (~v25(constB15, bitIndex1)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7460, 3536, 7409, 7454])).
% 4.41/4.59 tff(7462,assumption,(~v25(constB15, bitIndex1)), introduced(assumption)).
% 4.41/4.59 tff(7463,assumption,(v25(constB16, bitIndex1)), introduced(assumption)).
% 4.41/4.59 tff(7464,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex1) | (~v25(constB16, bitIndex1)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex1) | (~v25(constB16, bitIndex1)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7465,plain,
% 4.41/4.59 (((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex1)) | v25(constB15, bitIndex1)) <=> ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex1) | (~v25(constB16, bitIndex1)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7466,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex1)) | v25(constB15, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex1) | (~v25(constB16, bitIndex1))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[7465])).
% 4.41/4.59 tff(7467,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex1)) | v25(constB15, bitIndex1))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex1) | (~v25(constB16, bitIndex1)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[7466, 7464])).
% 4.41/4.59 tff(7468,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex1)) | v25(constB15, bitIndex1))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7469,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex1) | (~v25(constB16, bitIndex1))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7468, 7467])).
% 4.41/4.59 tff(7470,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7469, 1093, 2610, 7430, 7463, 7462])).
% 4.41/4.59 tff(7471,plain,((~v25(constB16, bitIndex1)) | v25(constB15, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7472,plain,
% 4.41/4.59 (~v25(constB16, bitIndex1)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7471, 7461])).
% 4.41/4.59 tff(7473,assumption,(v902(constB14, bitIndex0)), introduced(assumption)).
% 4.41/4.59 tff(7474,plain,
% 4.41/4.59 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex0)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex0)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7475,plain,
% 4.41/4.59 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex0)))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7476,plain,
% 4.41/4.59 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex0))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7475, 7474])).
% 4.41/4.59 tff(7477,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7476, 3438, 7372, 7473])).
% 4.41/4.59 tff(7478,plain,((~v902(constB14, bitIndex0)) | v16(constB14)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7479,plain,
% 4.41/4.59 (~v902(constB14, bitIndex0)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7478, 7372])).
% 4.41/4.59 tff(7480,assumption,(v904(constB15, bitIndex0)), introduced(assumption)).
% 4.41/4.59 tff(7481,assumption,(~v902(constB14, bitIndex0)), introduced(assumption)).
% 4.41/4.59 tff(7482,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex0)) | v902(constB14, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex0)) | v902(constB14, bitIndex0))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7483,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex0)) | v902(constB14, bitIndex0))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7484,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex0)) | v902(constB14, bitIndex0)),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7483, 7482])).
% 4.41/4.59 tff(7485,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7484, 3456, 2600, 7481, 7480])).
% 4.41/4.59 tff(7486,plain,((~v904(constB15, bitIndex0)) | v902(constB14, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7487,plain,
% 4.41/4.59 (~v904(constB15, bitIndex0)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7486, 7479])).
% 4.41/4.59 tff(7488,assumption,(~v904(constB15, bitIndex0)), introduced(assumption)).
% 4.41/4.59 tff(7489,assumption,(v25(constB15, bitIndex0)), introduced(assumption)).
% 4.41/4.59 tff(7490,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex0)) | v904(constB15, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex0)) | v904(constB15, bitIndex0))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7491,plain,
% 4.41/4.59 (((~v25(constB15, bitIndex0)) | (~v894(constB15)) | v904(constB15, bitIndex0)) <=> ((~v894(constB15)) | (~v25(constB15, bitIndex0)) | v904(constB15, bitIndex0))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7492,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex0)) | (~v894(constB15)) | v904(constB15, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex0)) | v904(constB15, bitIndex0)))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[7491])).
% 4.41/4.59 tff(7493,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex0)) | (~v894(constB15)) | v904(constB15, bitIndex0))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex0)) | v904(constB15, bitIndex0))),
% 4.41/4.59 inference(transitivity,[status(thm)],[7492, 7490])).
% 4.41/4.59 tff(7494,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex0)) | (~v894(constB15)) | v904(constB15, bitIndex0))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7495,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex0)) | v904(constB15, bitIndex0)),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7494, 7493])).
% 4.41/4.59 tff(7496,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7495, 3536, 7409, 7489, 7488])).
% 4.41/4.59 tff(7497,plain,((~v25(constB15, bitIndex0)) | v904(constB15, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7498,plain,
% 4.41/4.59 (~v25(constB15, bitIndex0)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7497, 7487])).
% 4.41/4.59 tff(7499,assumption,(~v25(constB15, bitIndex0)), introduced(assumption)).
% 4.41/4.59 tff(7500,assumption,(v25(constB16, bitIndex0)), introduced(assumption)).
% 4.41/4.59 tff(7501,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex0) | (~v25(constB16, bitIndex0)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex0) | (~v25(constB16, bitIndex0)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7502,plain,
% 4.41/4.59 (((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex0)) | v25(constB15, bitIndex0)) <=> ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex0) | (~v25(constB16, bitIndex0)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7503,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex0)) | v25(constB15, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex0) | (~v25(constB16, bitIndex0))))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[7502])).
% 4.41/4.59 tff(7504,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex0)) | v25(constB15, bitIndex0))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex0) | (~v25(constB16, bitIndex0)))),
% 4.41/4.59 inference(transitivity,[status(thm)],[7503, 7501])).
% 4.41/4.59 tff(7505,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex0)) | v25(constB15, bitIndex0))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7506,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex0) | (~v25(constB16, bitIndex0))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7505, 7504])).
% 4.41/4.59 tff(7507,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7506, 1093, 2610, 7430, 7500, 7499])).
% 4.41/4.59 tff(7508,plain,((~v25(constB16, bitIndex0)) | v25(constB15, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7509,plain,
% 4.41/4.59 (~v25(constB16, bitIndex0)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7508, 7498])).
% 4.41/4.59 tff(7510,assumption,(v902(constB14, bitIndex3)), introduced(assumption)).
% 4.41/4.59 tff(7511,plain,
% 4.41/4.59 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex3)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex3)))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7512,plain,
% 4.41/4.59 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex3)))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7513,plain,
% 4.41/4.59 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex3))),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7512, 7511])).
% 4.41/4.59 tff(7514,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7513, 3438, 7372, 7510])).
% 4.41/4.59 tff(7515,plain,((~v902(constB14, bitIndex3)) | v16(constB14)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7516,plain,
% 4.41/4.59 (~v902(constB14, bitIndex3)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7515, 7372])).
% 4.41/4.59 tff(7517,assumption,(v904(constB15, bitIndex3)), introduced(assumption)).
% 4.41/4.59 tff(7518,assumption,(~v902(constB14, bitIndex3)), introduced(assumption)).
% 4.41/4.59 tff(7519,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex3)) | v902(constB14, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex3)) | v902(constB14, bitIndex3))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7520,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex3)) | v902(constB14, bitIndex3))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7521,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex3)) | v902(constB14, bitIndex3)),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7520, 7519])).
% 4.41/4.59 tff(7522,plain,
% 4.41/4.59 ($false),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7521, 3456, 2600, 7518, 7517])).
% 4.41/4.59 tff(7523,plain,((~v904(constB15, bitIndex3)) | v902(constB14, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.59 tff(7524,plain,
% 4.41/4.59 (~v904(constB15, bitIndex3)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7523, 7516])).
% 4.41/4.59 tff(7525,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex3)) | v904(constB15, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex3)) | v904(constB15, bitIndex3))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7526,plain,
% 4.41/4.59 (((~v25(constB15, bitIndex3)) | (~v894(constB15)) | v904(constB15, bitIndex3)) <=> ((~v894(constB15)) | (~v25(constB15, bitIndex3)) | v904(constB15, bitIndex3))),
% 4.41/4.59 inference(rewrite,[status(thm)],[])).
% 4.41/4.59 tff(7527,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex3)) | (~v894(constB15)) | v904(constB15, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex3)) | v904(constB15, bitIndex3)))),
% 4.41/4.59 inference(monotonicity,[status(thm)],[7526])).
% 4.41/4.59 tff(7528,plain,
% 4.41/4.59 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex3)) | (~v894(constB15)) | v904(constB15, bitIndex3))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex3)) | v904(constB15, bitIndex3))),
% 4.41/4.59 inference(transitivity,[status(thm)],[7527, 7525])).
% 4.41/4.59 tff(7529,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex3)) | (~v894(constB15)) | v904(constB15, bitIndex3))),
% 4.41/4.59 inference(quant_inst,[status(thm)],[])).
% 4.41/4.59 tff(7530,plain,
% 4.41/4.59 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex3)) | v904(constB15, bitIndex3)),
% 4.41/4.59 inference(modus_ponens,[status(thm)],[7529, 7528])).
% 4.41/4.59 tff(7531,plain,
% 4.41/4.59 (~v25(constB15, bitIndex3)),
% 4.41/4.59 inference(unit_resolution,[status(thm)],[7530, 3536, 7409, 7524])).
% 4.41/4.60 tff(7532,assumption,(~v25(constB15, bitIndex3)), introduced(assumption)).
% 4.41/4.60 tff(7533,assumption,(v25(constB16, bitIndex3)), introduced(assumption)).
% 4.41/4.60 tff(7534,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex3) | (~v25(constB16, bitIndex3)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex3) | (~v25(constB16, bitIndex3)))),
% 4.41/4.60 inference(rewrite,[status(thm)],[])).
% 4.41/4.60 tff(7535,plain,
% 4.41/4.60 (((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex3)) | v25(constB15, bitIndex3)) <=> ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex3) | (~v25(constB16, bitIndex3)))),
% 4.41/4.60 inference(rewrite,[status(thm)],[])).
% 4.41/4.60 tff(7536,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex3)) | v25(constB15, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex3) | (~v25(constB16, bitIndex3))))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[7535])).
% 4.41/4.60 tff(7537,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex3)) | v25(constB15, bitIndex3))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex3) | (~v25(constB16, bitIndex3)))),
% 4.41/4.60 inference(transitivity,[status(thm)],[7536, 7534])).
% 4.41/4.60 tff(7538,plain,
% 4.41/4.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex3)) | v25(constB15, bitIndex3))),
% 4.41/4.60 inference(quant_inst,[status(thm)],[])).
% 4.41/4.60 tff(7539,plain,
% 4.41/4.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex3) | (~v25(constB16, bitIndex3))),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[7538, 7537])).
% 4.41/4.60 tff(7540,plain,
% 4.41/4.60 ($false),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7539, 1093, 2610, 7430, 7533, 7532])).
% 4.41/4.60 tff(7541,plain,((~v25(constB16, bitIndex3)) | v25(constB15, bitIndex3)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.60 tff(7542,plain,
% 4.41/4.60 (~v25(constB16, bitIndex3)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7541, 7531])).
% 4.41/4.60 tff(7543,plain,
% 4.41/4.60 (v25(constB16, bitIndex4)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2919, 7542, 2871, 7509, 7472, 7439])).
% 4.41/4.60 tff(7544,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex4) | (~v25(constB16, bitIndex4)))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex4) | (~v25(constB16, bitIndex4)))),
% 4.41/4.60 inference(rewrite,[status(thm)],[])).
% 4.41/4.60 tff(7545,plain,
% 4.41/4.60 (((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex4)) | v25(constB15, bitIndex4)) <=> ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex4) | (~v25(constB16, bitIndex4)))),
% 4.41/4.60 inference(rewrite,[status(thm)],[])).
% 4.41/4.60 tff(7546,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex4)) | v25(constB15, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex4) | (~v25(constB16, bitIndex4))))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[7545])).
% 4.41/4.60 tff(7547,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex4)) | v25(constB15, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex4) | (~v25(constB16, bitIndex4)))),
% 4.41/4.60 inference(transitivity,[status(thm)],[7546, 7544])).
% 4.41/4.60 tff(7548,plain,
% 4.41/4.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | ((~nextState(constB15, constB16)) | v894(constB16) | (~v25(constB16, bitIndex4)) | v25(constB15, bitIndex4))),
% 4.41/4.60 inference(quant_inst,[status(thm)],[])).
% 4.41/4.60 tff(7549,plain,
% 4.41/4.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | v894(VarNext) | (~v25(VarNext, B)) | v25(VarCurr, B))) | (~nextState(constB15, constB16)) | v894(constB16) | v25(constB15, bitIndex4) | (~v25(constB16, bitIndex4))),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[7548, 7547])).
% 4.41/4.60 tff(7550,plain,
% 4.41/4.60 (v25(constB15, bitIndex4)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7549, 1093, 2610, 7430, 7543])).
% 4.41/4.60 tff(7551,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex4)) | v904(constB15, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex4)) | v904(constB15, bitIndex4))),
% 4.41/4.60 inference(rewrite,[status(thm)],[])).
% 4.41/4.60 tff(7552,plain,
% 4.41/4.60 (((~v25(constB15, bitIndex4)) | (~v894(constB15)) | v904(constB15, bitIndex4)) <=> ((~v894(constB15)) | (~v25(constB15, bitIndex4)) | v904(constB15, bitIndex4))),
% 4.41/4.60 inference(rewrite,[status(thm)],[])).
% 4.41/4.60 tff(7553,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex4)) | (~v894(constB15)) | v904(constB15, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v894(constB15)) | (~v25(constB15, bitIndex4)) | v904(constB15, bitIndex4)))),
% 4.41/4.60 inference(monotonicity,[status(thm)],[7552])).
% 4.41/4.60 tff(7554,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex4)) | (~v894(constB15)) | v904(constB15, bitIndex4))) <=> ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex4)) | v904(constB15, bitIndex4))),
% 4.41/4.60 inference(transitivity,[status(thm)],[7553, 7551])).
% 4.41/4.60 tff(7555,plain,
% 4.41/4.60 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | ((~v25(constB15, bitIndex4)) | (~v894(constB15)) | v904(constB15, bitIndex4))),
% 4.41/4.60 inference(quant_inst,[status(thm)],[])).
% 4.41/4.60 tff(7556,plain,
% 4.41/4.60 ((~![B: $i, VarNext: $i] : ((~v25(VarNext, B)) | (~v894(VarNext)) | v904(VarNext, B))) | (~v894(constB15)) | (~v25(constB15, bitIndex4)) | v904(constB15, bitIndex4)),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[7555, 7554])).
% 4.41/4.60 tff(7557,plain,
% 4.41/4.60 (v904(constB15, bitIndex4)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7556, 3536, 7409, 7550])).
% 4.41/4.60 tff(7558,plain,
% 4.41/4.60 (((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex4)) | v902(constB14, bitIndex4))) <=> ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex4)) | v902(constB14, bitIndex4))),
% 4.41/4.60 inference(rewrite,[status(thm)],[])).
% 4.41/4.60 tff(7559,plain,
% 4.41/4.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | ((~nextState(constB14, constB15)) | (~v904(constB15, bitIndex4)) | v902(constB14, bitIndex4))),
% 4.41/4.60 inference(quant_inst,[status(thm)],[])).
% 4.41/4.60 tff(7560,plain,
% 4.41/4.60 ((~![B: $i, VarNext: $i, VarCurr: $i] : ((~nextState(VarCurr, VarNext)) | (~v904(VarNext, B)) | v902(VarCurr, B))) | (~nextState(constB14, constB15)) | (~v904(constB15, bitIndex4)) | v902(constB14, bitIndex4)),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[7559, 7558])).
% 4.41/4.60 tff(7561,plain,
% 4.41/4.60 (v902(constB14, bitIndex4)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7560, 3456, 2600, 7557])).
% 4.41/4.60 tff(7562,plain,
% 4.41/4.60 (((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex4)))) <=> ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex4)))),
% 4.41/4.60 inference(rewrite,[status(thm)],[])).
% 4.41/4.60 tff(7563,plain,
% 4.41/4.60 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | (v16(constB14) | (~v902(constB14, bitIndex4)))),
% 4.41/4.60 inference(quant_inst,[status(thm)],[])).
% 4.41/4.60 tff(7564,plain,
% 4.41/4.60 ((~![B: $i, VarCurr: $i] : (v16(VarCurr) | (~v902(VarCurr, B)))) | v16(constB14) | (~v902(constB14, bitIndex4))),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[7563, 7562])).
% 4.41/4.60 tff(7565,plain,
% 4.41/4.60 ($false),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7564, 3438, 7372, 7561])).
% 4.41/4.60 tff(7566,plain,(v16(constB14) | (~v6(constB16, bitIndex0)) | v911(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.60 tff(7567,plain,
% 4.41/4.60 (v16(constB14)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7566, 7371, 2912])).
% 4.41/4.60 tff(7568,plain,
% 4.41/4.60 ($false),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5478, 4749, 7368, 7567, 4325])).
% 4.41/4.60 tff(7569,plain,((~v933(constB14)) | v19(constB14, bitIndex0) | v911(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.60 tff(7570,plain,
% 4.41/4.60 (v19(constB14, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7569, 7367, 2912])).
% 4.41/4.60 tff(7571,plain,
% 4.41/4.60 (v6(constB14, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5536, 7570, 5444])).
% 4.41/4.60 tff(7572,plain,
% 4.41/4.60 (v6(constB13, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5038, 7571])).
% 4.41/4.60 tff(7573,plain,
% 4.41/4.60 (v949(constB13)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5545, 7572])).
% 4.41/4.60 tff(7574,plain,
% 4.41/4.60 (v947(constB12)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5550, 7573])).
% 4.41/4.60 tff(7575,plain,
% 4.41/4.60 (v16(constB12)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5554, 1913, 7574])).
% 4.41/4.60 tff(7576,plain,
% 4.41/4.60 (v19(constB12, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5604, 4063, 7574, 7575])).
% 4.41/4.60 tff(7577,plain,
% 4.41/4.60 (v6(constB14, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5575, 7570, 5444])).
% 4.41/4.60 tff(7578,plain,
% 4.41/4.60 (v6(constB13, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5024, 7577])).
% 4.41/4.60 tff(7579,plain,
% 4.41/4.60 (v935(constB13)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5584, 7578])).
% 4.41/4.60 tff(7580,plain,
% 4.41/4.60 (v933(constB12)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5589, 7579])).
% 4.41/4.60 tff(7581,plain,
% 4.41/4.60 ((~v16(constB12)) | v19(constB12, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5596, 4749, 7580])).
% 4.41/4.60 tff(7582,plain,
% 4.41/4.60 (v19(constB12, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7581, 7575])).
% 4.41/4.60 tff(7583,plain,
% 4.41/4.60 (v6(constB12, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6791, 7582, 7576])).
% 4.41/4.60 tff(7584,plain,
% 4.41/4.60 (v6(constB11, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6800, 7583])).
% 4.41/4.60 tff(7585,plain,
% 4.41/4.60 (v949(constB11)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6808, 7584])).
% 4.41/4.60 tff(7586,plain,
% 4.41/4.60 (v947(constB10)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6813, 7585])).
% 4.41/4.60 tff(7587,plain,
% 4.41/4.60 (v16(constB10)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4401, 1913, 7586])).
% 4.41/4.60 tff(7588,plain,
% 4.41/4.60 ((~v933(constB10)) | v19(constB10, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6845, 4749, 7587])).
% 4.41/4.60 tff(7589,plain,
% 4.41/4.60 (v19(constB10, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7588, 7324])).
% 4.41/4.60 tff(7590,plain,
% 4.41/4.60 (v19(constB10, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4403, 7586])).
% 4.41/4.60 tff(7591,plain,
% 4.41/4.60 (v911(constB10)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6884, 7590, 1344, 7589])).
% 4.41/4.60 tff(7592,plain,
% 4.41/4.60 (~v918(constB10)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6931, 7591])).
% 4.41/4.60 tff(7593,plain,
% 4.41/4.60 (v6(constB10, bitIndex1) | v918(constB10)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4692, 747, 7590])).
% 4.41/4.60 tff(7594,plain,
% 4.41/4.60 (v6(constB10, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7593, 7592])).
% 4.41/4.60 tff(7595,plain,
% 4.41/4.60 (v6(constB9, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2250, 7594])).
% 4.41/4.60 tff(7596,plain,
% 4.41/4.60 (v949(constB9)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4686, 7595])).
% 4.41/4.60 tff(7597,plain,
% 4.41/4.60 (v947(constB8)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4678, 7596])).
% 4.41/4.60 tff(7598,plain,
% 4.41/4.60 (v19(constB8, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5859, 7597])).
% 4.41/4.60 tff(7599,plain,
% 4.41/4.60 (v16(constB6)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6946, 7598, 1316])).
% 4.41/4.60 tff(7600,plain,
% 4.41/4.60 (~v947(constB6)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6044, 7599])).
% 4.41/4.60 tff(7601,plain,
% 4.41/4.60 (~v949(constB7)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4426, 7600])).
% 4.41/4.60 tff(7602,plain,
% 4.41/4.60 (~v6(constB7, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4444, 7601])).
% 4.41/4.60 tff(7603,plain,
% 4.41/4.60 (~v6(constB8, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4453, 7602])).
% 4.41/4.60 tff(7604,plain,
% 4.41/4.60 (v16(constB8)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5857, 1913, 7597])).
% 4.41/4.60 tff(7605,plain,
% 4.41/4.60 (v6(constB10, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2231, 2097, 7591])).
% 4.41/4.60 tff(7606,plain,
% 4.41/4.60 (v6(constB9, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[2227, 7605])).
% 4.41/4.60 tff(7607,plain,
% 4.41/4.60 (v935(constB9)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4723, 7606])).
% 4.41/4.60 tff(7608,plain,
% 4.41/4.60 (v933(constB8)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4738, 7607])).
% 4.41/4.60 tff(7609,plain,
% 4.41/4.60 (v19(constB8, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4755, 4749, 7608, 7604])).
% 4.41/4.60 tff(7610,plain,
% 4.41/4.60 (v6(constB8, bitIndex1) | v911(constB8)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4704, 2111, 7609])).
% 4.41/4.60 tff(7611,plain,
% 4.41/4.60 (v911(constB8)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7610, 7603])).
% 4.41/4.60 tff(7612,plain,
% 4.41/4.60 (~v25(constB8, bitIndex2)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5815, 5291, 7611])).
% 4.41/4.60 tff(7613,plain,
% 4.41/4.60 (~v25(constB8, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5822, 5269, 7611])).
% 4.41/4.60 tff(7614,plain,
% 4.41/4.60 (~v25(constB8, bitIndex4)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5829, 5280, 7611])).
% 4.41/4.60 tff(7615,plain,
% 4.41/4.60 (~v25(constB8, bitIndex3)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5837, 5258, 7611])).
% 4.41/4.60 tff(7616,plain,
% 4.41/4.60 (~v25(constB8, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5782, 5247, 7611])).
% 4.41/4.60 tff(7617,plain,
% 4.41/4.60 (v6(constB8, bitIndex1) | v918(constB8)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4464, 747, 7598])).
% 4.41/4.60 tff(7618,plain,
% 4.41/4.60 (v918(constB8)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7617, 7603])).
% 4.41/4.60 tff(7619,plain,
% 4.41/4.60 (v25(constB8, bitIndex1) | v25(constB8, bitIndex0) | v25(constB8, bitIndex2) | v25(constB8, bitIndex3) | v25(constB8, bitIndex4)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5787, 4630, 7618])).
% 4.41/4.60 tff(7620,plain,
% 4.41/4.60 ($false),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7619, 7616, 7615, 7614, 7613, 7612])).
% 4.41/4.60 tff(7621,plain,(v911(constB16) | v19(constB6, bitIndex1) | (~v6(constB4, bitIndex0)) | (~v19(constB16, bitIndex0)) | (constB4 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB15 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.60 tff(7622,plain,
% 4.41/4.60 (~v19(constB16, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7621, 7320, 1316, 1344, 3268, 3878, 3426, 3951, 3950, 3877, 2180, 3424, 2181, 2090, 3423, 3876, 3267, 3917])).
% 4.41/4.60 tff(7623,plain,
% 4.41/4.60 (v16(constB16)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5351, 1913, 7246])).
% 4.41/4.60 tff(7624,plain,
% 4.41/4.60 ((~v933(constB16)) | v19(constB16, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5427, 4749, 7623])).
% 4.41/4.60 tff(7625,plain,
% 4.41/4.60 (~v933(constB16)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7624, 7622])).
% 4.41/4.60 tff(7626,plain,
% 4.41/4.60 (~v935(constB17)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5419, 7625])).
% 4.41/4.60 tff(7627,plain,
% 4.41/4.60 (~v6(constB17, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5414, 7626])).
% 4.41/4.60 tff(7628,plain,
% 4.41/4.60 (~v6(constB18, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5406, 7627])).
% 4.41/4.60 tff(7629,plain,
% 4.41/4.60 (~(constB18 = sK293_VarCurr)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6515, 7628])).
% 4.41/4.60 tff(7630,plain,
% 4.41/4.60 (~(constB17 = sK293_VarCurr)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6564, 7627])).
% 4.41/4.60 tff(7631,plain,
% 4.41/4.60 (constB20 = sK293_VarCurr),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6450, 7630, 6439, 6431, 6422, 3423, 3878, 3917, 3426, 3951, 3950, 3877, 2180, 3424, 2181, 2090, 3267, 3268, 7629, 3876])).
% 4.41/4.60 tff(7632,plain,
% 4.41/4.60 (v6(constB20, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.41/4.60 inference(monotonicity,[status(thm)],[7631])).
% 4.41/4.60 tff(7633,plain,
% 4.41/4.60 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB20, bitIndex1)),
% 4.41/4.60 inference(symmetry,[status(thm)],[7632])).
% 4.41/4.60 tff(7634,plain,
% 4.41/4.60 (v6(constB20, bitIndex1)),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[5182, 7633])).
% 4.41/4.60 tff(7635,plain,
% 4.41/4.60 (v6(constB19, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6462, 7634])).
% 4.41/4.60 tff(7636,plain,
% 4.41/4.60 (v949(constB19)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5201, 7635])).
% 4.41/4.60 tff(7637,plain,
% 4.41/4.60 (v947(constB18)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5206, 7636])).
% 4.41/4.60 tff(7638,plain,
% 4.41/4.60 (v16(constB18)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5210, 1913, 7637])).
% 4.41/4.60 tff(7639,plain,
% 4.41/4.60 (v19(constB18, bitIndex1)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5301, 4063, 7637, 7638])).
% 4.41/4.60 tff(7640,plain,
% 4.41/4.60 (v6(constB20, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.41/4.60 inference(monotonicity,[status(thm)],[7631])).
% 4.41/4.60 tff(7641,plain,
% 4.41/4.60 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB20, bitIndex0)),
% 4.41/4.60 inference(symmetry,[status(thm)],[7640])).
% 4.41/4.60 tff(7642,plain,
% 4.41/4.60 (v6(constB20, bitIndex0)),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[5213, 7641])).
% 4.41/4.60 tff(7643,plain,
% 4.41/4.60 (v6(constB19, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6477, 7642])).
% 4.41/4.60 tff(7644,plain,
% 4.41/4.60 (v935(constB19)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5221, 7643])).
% 4.41/4.60 tff(7645,plain,
% 4.41/4.60 (v933(constB18)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5226, 7644])).
% 4.41/4.60 tff(7646,plain,
% 4.41/4.60 (v19(constB18, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5233, 4749, 7645, 7638])).
% 4.41/4.60 tff(7647,plain,
% 4.41/4.60 ($false),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[5397, 7646, 7639, 7628])).
% 4.41/4.60 tff(7648,plain,((constB15 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (~v6(constB4, bitIndex0)) | v19(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.41/4.60 tff(7649,plain,
% 4.41/4.60 (constB11 = sK293_VarCurr),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7648, 7243, 6963, 2180, 3426, 3878, 3267, 3424, 3950, 6730, 3877, 3423, 3268, 6729, 1316, 1344])).
% 4.41/4.60 tff(7650,plain,
% 4.41/4.60 (v6(constB11, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6369, 7649])).
% 4.41/4.60 tff(7651,plain,
% 4.41/4.60 (v6(constB12, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[4283, 7650])).
% 4.41/4.60 tff(7652,plain,
% 4.41/4.60 (v16(constB10)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[7240, 7651, 2574])).
% 4.41/4.60 tff(7653,plain,
% 4.41/4.60 (v935(constB11)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6833, 7650])).
% 4.41/4.60 tff(7654,plain,
% 4.41/4.60 (v933(constB10)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6838, 7653])).
% 4.41/4.60 tff(7655,plain,
% 4.41/4.60 (v19(constB10, bitIndex0)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6845, 4749, 7654, 7652])).
% 4.41/4.60 tff(7656,plain,
% 4.41/4.60 (v911(constB10)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6971, 7655])).
% 4.41/4.60 tff(7657,plain,
% 4.41/4.60 (~v918(constB10)),
% 4.41/4.60 inference(unit_resolution,[status(thm)],[6931, 7656])).
% 4.41/4.60 tff(7658,plain,
% 4.41/4.60 (v6(constB11, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.41/4.60 inference(monotonicity,[status(thm)],[7649])).
% 4.41/4.60 tff(7659,plain,
% 4.41/4.60 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB11, bitIndex1)),
% 4.41/4.60 inference(symmetry,[status(thm)],[7658])).
% 4.41/4.60 tff(7660,plain,
% 4.41/4.60 (v6(constB11, bitIndex1)),
% 4.41/4.60 inference(modus_ponens,[status(thm)],[5182, 7659])).
% 4.44/4.60 tff(7661,plain,
% 4.44/4.60 (v949(constB11)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6808, 7660])).
% 4.44/4.60 tff(7662,plain,
% 4.44/4.60 (v947(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6813, 7661])).
% 4.44/4.60 tff(7663,plain,
% 4.44/4.60 (v19(constB10, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4403, 7662])).
% 4.44/4.60 tff(7664,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6983, 7663, 7657])).
% 4.44/4.60 tff(7665,plain,(v6(constB10, bitIndex1) | v911(constB12) | (constB3 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (~v6(constB4, bitIndex0)) | v19(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7666,plain,
% 4.44/4.60 (v6(constB10, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7665, 3424, 2180, 3426, 3878, 3267, 2574, 3950, 3877, 3423, 3268, 1316, 1344])).
% 4.44/4.60 tff(7667,plain,
% 4.44/4.60 (v6(constB9, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2250, 7666])).
% 4.44/4.60 tff(7668,plain,
% 4.44/4.60 (v949(constB9)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4686, 7667])).
% 4.44/4.60 tff(7669,plain,
% 4.44/4.60 (v947(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4678, 7668])).
% 4.44/4.60 tff(7670,plain,
% 4.44/4.60 (v19(constB8, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5859, 7669])).
% 4.44/4.60 tff(7671,plain,
% 4.44/4.60 (v918(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6654, 7670])).
% 4.44/4.60 tff(7672,plain,
% 4.44/4.60 (~v911(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6652, 7671])).
% 4.44/4.60 tff(7673,plain,
% 4.44/4.60 (~v19(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6641, 7672])).
% 4.44/4.60 tff(7674,plain,
% 4.44/4.60 (v16(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5857, 1913, 7669])).
% 4.44/4.60 tff(7675,plain,
% 4.44/4.60 ((~v933(constB8)) | v19(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4755, 4749, 7674])).
% 4.44/4.60 tff(7676,plain,
% 4.44/4.60 (~v933(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7675, 7673])).
% 4.44/4.60 tff(7677,plain,
% 4.44/4.60 (~v935(constB9)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4738, 7676])).
% 4.44/4.60 tff(7678,plain,
% 4.44/4.60 (~v6(constB9, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4723, 7677])).
% 4.44/4.60 tff(7679,plain,
% 4.44/4.60 (~(constB9 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6637, 7678])).
% 4.44/4.60 tff(7680,plain,
% 4.44/4.60 (~v6(constB10, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2227, 7678])).
% 4.44/4.60 tff(7681,plain,
% 4.44/4.60 (~v911(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2231, 2097, 7680])).
% 4.44/4.60 tff(7682,plain,
% 4.44/4.60 (~(constB10 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5842, 7681, 1344, 755])).
% 4.44/4.60 tff(7683,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7648, 6370, 6374, 6963, 2180, 3426, 3878, 3267, 3424, 3950, 3876, 3877, 3423, 3268, 2090, 1316, 1344])).
% 4.44/4.60 tff(7684,plain,(v6(constB12, bitIndex0) | (constB3 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (~v6(constB4, bitIndex0)) | v19(constB6, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7685,plain,
% 4.44/4.60 (v6(constB12, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7684, 3424, 3426, 3878, 3267, 2180, 3950, 7682, 3877, 3423, 3268, 7679, 1316, 1344])).
% 4.44/4.60 tff(7686,plain,
% 4.44/4.60 (v16(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7240, 7685, 2574])).
% 4.44/4.60 tff(7687,plain,
% 4.44/4.60 (v6(constB11, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6825, 7685])).
% 4.44/4.60 tff(7688,plain,
% 4.44/4.60 (v935(constB11)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6833, 7687])).
% 4.44/4.60 tff(7689,plain,
% 4.44/4.60 (v933(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6838, 7688])).
% 4.44/4.60 tff(7690,plain,
% 4.44/4.60 (v19(constB10, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6845, 4749, 7689, 7686])).
% 4.44/4.60 tff(7691,plain,
% 4.44/4.60 (~v19(constB10, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6884, 7690, 1344, 7681])).
% 4.44/4.60 tff(7692,plain,
% 4.44/4.60 (~v947(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4403, 7691])).
% 4.44/4.60 tff(7693,plain,
% 4.44/4.60 (~v949(constB11)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6813, 7692])).
% 4.44/4.60 tff(7694,plain,
% 4.44/4.60 (~v6(constB11, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6808, 7693])).
% 4.44/4.60 tff(7695,plain,
% 4.44/4.60 (~v6(constB12, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6800, 7694])).
% 4.44/4.60 tff(7696,plain,
% 4.44/4.60 (~(constB12 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6977, 7695])).
% 4.44/4.60 tff(7697,plain,
% 4.44/4.60 (constB11 = sK293_VarCurr),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7648, 7696, 6963, 2180, 3426, 3878, 3267, 3424, 3950, 7682, 3877, 3423, 3268, 7679, 1316, 1344])).
% 4.44/4.60 tff(7698,plain,
% 4.44/4.60 (v6(constB11, bitIndex1) <=> v6(sK293_VarCurr, bitIndex1)),
% 4.44/4.60 inference(monotonicity,[status(thm)],[7697])).
% 4.44/4.60 tff(7699,plain,
% 4.44/4.60 (v6(sK293_VarCurr, bitIndex1) <=> v6(constB11, bitIndex1)),
% 4.44/4.60 inference(symmetry,[status(thm)],[7698])).
% 4.44/4.60 tff(7700,plain,
% 4.44/4.60 (v6(constB11, bitIndex1)),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[5182, 7699])).
% 4.44/4.60 tff(7701,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7694, 7700])).
% 4.44/4.60 tff(7702,plain,((constB19 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB5 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (~v6(constB4, bitIndex0)) | v19(constB6, bitIndex1) | v911(constB12) | (~v6(constB8, bitIndex0)) | v6(constB8, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7703,plain,
% 4.44/4.60 ((constB19 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (~v6(constB4, bitIndex0)) | v19(constB6, bitIndex1) | v911(constB12) | (~v6(constB8, bitIndex0)) | v6(constB8, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7702, 6365])).
% 4.44/4.60 tff(7704,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7703, 6728, 6727, 1316, 6723, 3950, 3877, 3878, 6720, 6715, 1344, 2574, 3424, 5767])).
% 4.44/4.60 tff(7705,plain,(v19(constB6, bitIndex1) | (~v6(constB4, bitIndex0)) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | v911(constB12) | (constB19 = sK293_VarCurr) | v911(constB10) | (~v19(constB10, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7706,plain,
% 4.44/4.60 (v19(constB6, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7705, 6688, 5765, 5752, 5729, 5437, 5697, 5193, 5191])).
% 4.44/4.60 tff(7707,plain,
% 4.44/4.60 (v6(constB3, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4094, 6688])).
% 4.44/4.60 tff(7708,plain,
% 4.44/4.60 (v935(constB3)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6137, 7707])).
% 4.44/4.60 tff(7709,plain,
% 4.44/4.60 (v933(constB2)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6142, 7708])).
% 4.44/4.60 tff(7710,plain,
% 4.44/4.60 (~v947(constB2)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6707, 7709])).
% 4.44/4.60 tff(7711,plain,
% 4.44/4.60 (~v949(constB3)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6205, 7710])).
% 4.44/4.60 tff(7712,plain,
% 4.44/4.60 (~v6(constB3, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6200, 7711])).
% 4.44/4.60 tff(7713,plain,
% 4.44/4.60 (~v6(constB4, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4107, 7712])).
% 4.44/4.60 tff(7714,plain,
% 4.44/4.60 (v6(constB6, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5980, 2123, 4136])).
% 4.44/4.60 tff(7715,plain,
% 4.44/4.60 (v6(constB5, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3361, 7714])).
% 4.44/4.60 tff(7716,plain,
% 4.44/4.60 (v935(constB5)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5989, 7715])).
% 4.44/4.60 tff(7717,plain,
% 4.44/4.60 (v933(constB4)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5994, 7716])).
% 4.44/4.60 tff(7718,plain,
% 4.44/4.60 (v6(constB6, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5937, 2123, 4136])).
% 4.44/4.60 tff(7719,plain,
% 4.44/4.60 (v6(constB5, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3378, 7718])).
% 4.44/4.60 tff(7720,plain,
% 4.44/4.60 (v949(constB5)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5946, 7719])).
% 4.44/4.60 tff(7721,plain,
% 4.44/4.60 (v947(constB4)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5951, 7720])).
% 4.44/4.60 tff(7722,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6186, 7721, 7717, 6144])).
% 4.44/4.60 tff(7723,plain,((~v19(constB6, bitIndex0)) | v6(constB4, bitIndex1) | (~v19(constB6, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7724,plain,
% 4.44/4.60 (~v19(constB6, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7723, 7713, 7706])).
% 4.44/4.60 tff(7725,plain,
% 4.44/4.60 (~v19(constB8, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5874, 6639, 4407])).
% 4.44/4.60 tff(7726,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5859, 7725, 6632])).
% 4.44/4.60 tff(7727,plain,((~(constB9 = sK293_VarCurr)) | v6(constB8, bitIndex0) | v911(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7728,plain,
% 4.44/4.60 (~(constB9 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7727, 4407, 5193])).
% 4.44/4.60 tff(7729,plain,
% 4.44/4.60 (~(constB3 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6714, 7712])).
% 4.44/4.60 tff(7730,plain,
% 4.44/4.60 (~(constB4 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6719, 7713])).
% 4.44/4.60 tff(7731,plain,
% 4.44/4.60 (~(constB6 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6722, 7713])).
% 4.44/4.60 tff(7732,assumption,(~v6(constB7, bitIndex0)), introduced(assumption)).
% 4.44/4.60 tff(7733,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7732, 6050])).
% 4.44/4.60 tff(7734,plain,((~(constB7 = sK293_VarCurr)) | v6(constB7, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7735,plain,
% 4.44/4.60 (~(constB7 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7734, 4408])).
% 4.44/4.60 tff(7736,plain,
% 4.44/4.60 (constB10 = sK293_VarCurr),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6624, 7735, 5729, 6100, 5697, 7731, 5752, 7730, 7729, 5186, 7728])).
% 4.44/4.60 tff(7737,plain,
% 4.44/4.60 (v6(constB10, bitIndex0) <=> v6(sK293_VarCurr, bitIndex0)),
% 4.44/4.60 inference(monotonicity,[status(thm)],[7736])).
% 4.44/4.60 tff(7738,plain,
% 4.44/4.60 (v6(sK293_VarCurr, bitIndex0) <=> v6(constB10, bitIndex0)),
% 4.44/4.60 inference(symmetry,[status(thm)],[7737])).
% 4.44/4.60 tff(7739,plain,
% 4.44/4.60 (v6(constB10, bitIndex0)),
% 4.44/4.60 inference(modus_ponens,[status(thm)],[5213, 7738])).
% 4.44/4.60 tff(7740,plain,
% 4.44/4.60 (v6(constB10, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5847, 7736])).
% 4.44/4.60 tff(7741,plain,
% 4.44/4.60 (v6(constB9, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2250, 7740])).
% 4.44/4.60 tff(7742,plain,
% 4.44/4.60 (v949(constB9)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4686, 7741])).
% 4.44/4.60 tff(7743,plain,
% 4.44/4.60 (v947(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4678, 7742])).
% 4.44/4.60 tff(7744,plain,
% 4.44/4.60 (v19(constB8, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5859, 7743])).
% 4.44/4.60 tff(7745,plain,
% 4.44/4.60 (~v19(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5874, 7744, 4407])).
% 4.44/4.60 tff(7746,plain,
% 4.44/4.60 (~v6(constB9, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4775, 7745, 5193])).
% 4.44/4.60 tff(7747,plain,
% 4.44/4.60 (~v6(constB10, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2227, 7746])).
% 4.44/4.60 tff(7748,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7747, 7739])).
% 4.44/4.60 tff(7749,plain,(v6(constB8, bitIndex0) | v6(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7750,plain,
% 4.44/4.60 (v6(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7749, 5186])).
% 4.44/4.60 tff(7751,plain,
% 4.44/4.60 (v6(constB7, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4791, 7750])).
% 4.44/4.60 tff(7752,plain,
% 4.44/4.60 (v935(constB7)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5883, 7751])).
% 4.44/4.60 tff(7753,plain,
% 4.44/4.60 (v933(constB6)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5888, 7752])).
% 4.44/4.60 tff(7754,plain,
% 4.44/4.60 ((~v16(constB6)) | v19(constB6, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5902, 4749, 7753])).
% 4.44/4.60 tff(7755,plain,
% 4.44/4.60 (~v16(constB6)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7754, 7724])).
% 4.44/4.60 tff(7756,plain,
% 4.44/4.60 (~v19(constB8, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6946, 7755, 6688])).
% 4.44/4.60 tff(7757,plain,
% 4.44/4.60 (~v947(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5859, 7756])).
% 4.44/4.60 tff(7758,plain,
% 4.44/4.60 (~v949(constB9)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4678, 7757])).
% 4.44/4.60 tff(7759,plain,
% 4.44/4.60 (~v6(constB9, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4686, 7758])).
% 4.44/4.60 tff(7760,plain,
% 4.44/4.60 (~(constB9 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6629, 6627])).
% 4.44/4.60 tff(7761,plain,
% 4.44/4.60 (~v6(constB10, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2250, 6627])).
% 4.44/4.60 tff(7762,plain,
% 4.44/4.60 (~(constB10 = sK293_VarCurr)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5847, 7761])).
% 4.44/4.60 tff(7763,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6624, 7762, 7760, 5729, 6100, 5697, 7731, 5752, 7730, 7729, 5186, 3267])).
% 4.44/4.60 tff(7764,plain,(v6(constB9, bitIndex1) | v6(constB12, bitIndex0) | (constB7 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7765,plain,
% 4.44/4.60 (constB7 = sK293_VarCurr),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7764, 7759, 5186])).
% 4.44/4.60 tff(7766,plain,
% 4.44/4.60 (v6(constB7, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6039, 7765])).
% 4.44/4.60 tff(7767,plain,
% 4.44/4.60 (v949(constB7)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4444, 7766])).
% 4.44/4.60 tff(7768,plain,
% 4.44/4.60 (v947(constB6)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4426, 7767])).
% 4.44/4.60 tff(7769,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5794, 1913, 7768, 7755])).
% 4.44/4.60 tff(7770,plain,(v6(constB12, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7771,plain,
% 4.44/4.60 (v6(constB11, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6825, 7770])).
% 4.44/4.60 tff(7772,plain,
% 4.44/4.60 (v935(constB11)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6833, 7771])).
% 4.44/4.60 tff(7773,plain,
% 4.44/4.60 (v933(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6838, 7772])).
% 4.44/4.60 tff(7774,plain,
% 4.44/4.60 ((~v16(constB10)) | v19(constB10, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6845, 4749, 7773])).
% 4.44/4.60 tff(7775,plain,
% 4.44/4.60 (v19(constB10, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7774, 5185])).
% 4.44/4.60 tff(7776,plain,
% 4.44/4.60 (v918(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4693, 5161])).
% 4.44/4.60 tff(7777,plain,
% 4.44/4.60 (v911(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6864, 5161])).
% 4.44/4.60 tff(7778,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6931, 7777, 7776])).
% 4.44/4.60 tff(7779,plain,(v6(constB10, bitIndex1) | (~v19(constB10, bitIndex0)) | (~v19(constB10, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7780,plain,
% 4.44/4.60 (v6(constB10, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7779, 7775, 5184])).
% 4.44/4.60 tff(7781,plain,
% 4.44/4.60 (v6(constB9, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2250, 7780])).
% 4.44/4.60 tff(7782,plain,
% 4.44/4.60 (v949(constB9)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4686, 7781])).
% 4.44/4.60 tff(7783,plain,
% 4.44/4.60 (v947(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4678, 7782])).
% 4.44/4.60 tff(7784,assumption,(v933(constB8)), introduced(assumption)).
% 4.44/4.60 tff(7785,plain,
% 4.44/4.60 (v16(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5857, 1913, 5852])).
% 4.44/4.60 tff(7786,plain,
% 4.44/4.60 ((~v933(constB8)) | v19(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4755, 4749, 7785])).
% 4.44/4.60 tff(7787,plain,
% 4.44/4.60 (v19(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7786, 7784])).
% 4.44/4.60 tff(7788,plain,
% 4.44/4.60 (v19(constB8, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5859, 5852])).
% 4.44/4.60 tff(7789,plain,
% 4.44/4.60 (v6(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5874, 7787, 7788])).
% 4.44/4.60 tff(7790,plain,
% 4.44/4.60 (v6(constB7, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4791, 7789])).
% 4.44/4.60 tff(7791,plain,
% 4.44/4.60 (v935(constB7)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5883, 7790])).
% 4.44/4.60 tff(7792,plain,
% 4.44/4.60 (v933(constB6)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5888, 7791])).
% 4.44/4.60 tff(7793,plain,
% 4.44/4.60 (v16(constB6)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5895, 7788])).
% 4.44/4.60 tff(7794,plain,
% 4.44/4.60 ((~v933(constB6)) | v19(constB6, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5902, 4749, 7793])).
% 4.44/4.60 tff(7795,plain,
% 4.44/4.60 (v19(constB6, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7794, 7792])).
% 4.44/4.60 tff(7796,plain,
% 4.44/4.60 ((~v16(constB8)) | v19(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4755, 4749, 7784])).
% 4.44/4.60 tff(7797,plain,
% 4.44/4.60 (v19(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7796, 7785])).
% 4.44/4.60 tff(7798,plain,
% 4.44/4.60 (v6(constB8, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5874, 7797, 7788])).
% 4.44/4.60 tff(7799,plain,
% 4.44/4.60 (v6(constB7, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4791, 7798])).
% 4.44/4.60 tff(7800,plain,
% 4.44/4.60 (v935(constB7)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5883, 7799])).
% 4.44/4.60 tff(7801,plain,
% 4.44/4.60 (v933(constB6)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5888, 7800])).
% 4.44/4.60 tff(7802,plain,
% 4.44/4.60 (v19(constB6, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7794, 7801])).
% 4.44/4.60 tff(7803,plain,
% 4.44/4.60 (v6(constB6, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5937, 4136, 2123])).
% 4.44/4.60 tff(7804,plain,
% 4.44/4.60 (v6(constB5, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3378, 7803])).
% 4.44/4.60 tff(7805,plain,
% 4.44/4.60 (v949(constB5)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5946, 7804])).
% 4.44/4.60 tff(7806,plain,
% 4.44/4.60 (v947(constB4)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5951, 7805])).
% 4.44/4.60 tff(7807,plain,
% 4.44/4.60 (v16(constB4)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5955, 1913, 7806])).
% 4.44/4.60 tff(7808,plain,
% 4.44/4.60 (v19(constB4, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5962, 4063, 7806, 7807])).
% 4.44/4.60 tff(7809,plain,
% 4.44/4.60 (v6(constB6, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5980, 4136, 2123])).
% 4.44/4.60 tff(7810,plain,
% 4.44/4.60 (v6(constB5, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[3361, 7809])).
% 4.44/4.60 tff(7811,plain,
% 4.44/4.60 (v935(constB5)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5989, 7810])).
% 4.44/4.60 tff(7812,plain,
% 4.44/4.60 (v933(constB4)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[5994, 7811])).
% 4.44/4.60 tff(7813,plain,
% 4.44/4.60 ((~v16(constB4)) | v19(constB4, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6001, 4749, 7812])).
% 4.44/4.60 tff(7814,plain,
% 4.44/4.60 (v19(constB4, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7813, 7807])).
% 4.44/4.60 tff(7815,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6022, 7814, 7808, 5766])).
% 4.44/4.60 tff(7816,plain,((~v19(constB6, bitIndex1)) | v6(constB4, bitIndex0) | (~v19(constB6, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7817,plain,
% 4.44/4.60 (~v19(constB6, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7816, 7802, 5766])).
% 4.44/4.60 tff(7818,plain,
% 4.44/4.60 (~v947(constB6)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6047, 7817])).
% 4.44/4.60 tff(7819,plain,
% 4.44/4.60 (~v949(constB7)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4426, 7818])).
% 4.44/4.60 tff(7820,plain,
% 4.44/4.60 (~v6(constB7, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4444, 7819])).
% 4.44/4.60 tff(7821,plain,
% 4.44/4.60 (~v6(constB8, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4453, 7820])).
% 4.44/4.60 tff(7822,plain,
% 4.44/4.60 (v918(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4464, 747, 7821, 7788])).
% 4.44/4.60 tff(7823,plain,
% 4.44/4.60 (v911(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4704, 2111, 7821, 7797])).
% 4.44/4.60 tff(7824,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6652, 7823, 7822])).
% 4.44/4.60 tff(7825,plain,((~v947(constB8)) | v6(constB4, bitIndex0) | (~v933(constB8))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7826,plain,
% 4.44/4.60 (v6(constB4, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7825, 7784, 5852])).
% 4.44/4.60 tff(7827,plain,
% 4.44/4.60 (v6(constB3, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4094, 7826])).
% 4.44/4.60 tff(7828,plain,
% 4.44/4.60 (v935(constB3)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6137, 7827])).
% 4.44/4.60 tff(7829,plain,
% 4.44/4.60 (v933(constB2)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6142, 7828])).
% 4.44/4.60 tff(7830,plain,
% 4.44/4.60 (~v947(constB2)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6707, 7829])).
% 4.44/4.60 tff(7831,plain,
% 4.44/4.60 (~v949(constB3)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6205, 7830])).
% 4.44/4.60 tff(7832,plain,
% 4.44/4.60 (~v6(constB3, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6200, 7831])).
% 4.44/4.60 tff(7833,plain,
% 4.44/4.60 (~v6(constB4, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4107, 7832])).
% 4.44/4.60 tff(7834,plain,
% 4.44/4.60 (~v19(constB6, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7723, 7833, 7795])).
% 4.44/4.60 tff(7835,plain,
% 4.44/4.60 (~v947(constB6)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6047, 7834])).
% 4.44/4.60 tff(7836,plain,
% 4.44/4.60 (~v949(constB7)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4426, 7835])).
% 4.44/4.60 tff(7837,plain,
% 4.44/4.60 (~v6(constB7, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4444, 7836])).
% 4.44/4.60 tff(7838,plain,
% 4.44/4.60 (~v6(constB8, bitIndex1)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4453, 7837])).
% 4.44/4.60 tff(7839,plain,
% 4.44/4.60 (v6(constB8, bitIndex1) | v918(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4464, 747, 7788])).
% 4.44/4.60 tff(7840,plain,
% 4.44/4.60 (v918(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7839, 7838])).
% 4.44/4.60 tff(7841,plain,
% 4.44/4.60 (~v911(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6652, 7840])).
% 4.44/4.60 tff(7842,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4704, 2111, 7838, 7841, 7787])).
% 4.44/4.60 tff(7843,plain,((~v933(constB8)) | (~v947(constB8))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.60 tff(7844,plain,
% 4.44/4.60 (~v933(constB8)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7843, 7783])).
% 4.44/4.60 tff(7845,plain,
% 4.44/4.60 (~v935(constB9)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4738, 7844])).
% 4.44/4.60 tff(7846,plain,
% 4.44/4.60 (~v6(constB9, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4723, 7845])).
% 4.44/4.60 tff(7847,plain,
% 4.44/4.60 (~v6(constB10, bitIndex0)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2227, 7846])).
% 4.44/4.60 tff(7848,plain,
% 4.44/4.60 (~v911(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[2231, 2097, 7847])).
% 4.44/4.60 tff(7849,plain,
% 4.44/4.60 (~v918(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[4780, 645, 7847])).
% 4.44/4.60 tff(7850,plain,
% 4.44/4.60 (v918(constB10) | (~v702(constB10))),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6857, 5373, 5184])).
% 4.44/4.60 tff(7851,plain,
% 4.44/4.60 (~v702(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7850, 7849])).
% 4.44/4.60 tff(7852,plain,
% 4.44/4.60 (v702(constB10) | v911(constB10)),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[6849, 5391, 7775])).
% 4.44/4.60 tff(7853,plain,
% 4.44/4.60 ($false),
% 4.44/4.60 inference(unit_resolution,[status(thm)],[7852, 7851, 7848])).
% 4.44/4.60 tff(7854,plain,(~v947(constB10)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7855,plain,
% 4.44/4.61 (~v949(constB11)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6813, 7854])).
% 4.44/4.61 tff(7856,plain,
% 4.44/4.61 (~v6(constB11, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6808, 7855])).
% 4.44/4.61 tff(7857,plain,
% 4.44/4.61 (~v6(constB12, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6800, 7856])).
% 4.44/4.61 tff(7858,plain,
% 4.44/4.61 (~v19(constB12, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6791, 5746, 7857])).
% 4.44/4.61 tff(7859,assumption,(v947(constB12)), introduced(assumption)).
% 4.44/4.61 tff(7860,plain,
% 4.44/4.61 ((~v947(constB12)) | (~v16(constB12))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5604, 4063, 4344])).
% 4.44/4.61 tff(7861,plain,
% 4.44/4.61 (~v16(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7860, 7859])).
% 4.44/4.61 tff(7862,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5554, 1913, 7859, 7861])).
% 4.44/4.61 tff(7863,plain,((~v947(constB12)) | v19(constB12, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7864,plain,
% 4.44/4.61 (~v947(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7863, 7858])).
% 4.44/4.61 tff(7865,plain,
% 4.44/4.61 (~v949(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5550, 7864])).
% 4.44/4.61 tff(7866,plain,
% 4.44/4.61 (~v6(constB13, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5545, 7865])).
% 4.44/4.61 tff(7867,plain,
% 4.44/4.61 (~v6(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5038, 7866])).
% 4.44/4.61 tff(7868,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7867, 5183])).
% 4.44/4.61 tff(7869,plain,(~(constB14 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7870,plain,
% 4.44/4.61 (v6(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5536, 5713, 5714])).
% 4.44/4.61 tff(7871,plain,
% 4.44/4.61 (v6(constB13, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5038, 7870])).
% 4.44/4.61 tff(7872,plain,
% 4.44/4.61 (v949(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5545, 7871])).
% 4.44/4.61 tff(7873,plain,
% 4.44/4.61 (v947(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5550, 7872])).
% 4.44/4.61 tff(7874,plain,
% 4.44/4.61 (v19(constB12, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7863, 7873])).
% 4.44/4.61 tff(7875,plain,
% 4.44/4.61 (~v19(constB12, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6791, 7874, 7857])).
% 4.44/4.61 tff(7876,plain,
% 4.44/4.61 (v6(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5575, 5713, 5714])).
% 4.44/4.61 tff(7877,plain,
% 4.44/4.61 (v6(constB13, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5024, 7876])).
% 4.44/4.61 tff(7878,plain,
% 4.44/4.61 (v935(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5584, 7877])).
% 4.44/4.61 tff(7879,plain,
% 4.44/4.61 (v933(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5589, 7878])).
% 4.44/4.61 tff(7880,plain,
% 4.44/4.61 (~v16(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5596, 4749, 7879, 7875])).
% 4.44/4.61 tff(7881,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5554, 1913, 7873, 7880])).
% 4.44/4.61 tff(7882,plain,(~(constB16 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7883,plain,
% 4.44/4.61 (v6(constB3, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6714, 2033])).
% 4.44/4.61 tff(7884,plain,
% 4.44/4.61 (v949(constB3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6200, 7883])).
% 4.44/4.61 tff(7885,plain,
% 4.44/4.61 (v947(constB2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6205, 7884])).
% 4.44/4.61 tff(7886,plain,
% 4.44/4.61 (v6(constB3, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6034, 2033])).
% 4.44/4.61 tff(7887,plain,
% 4.44/4.61 (v935(constB3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6137, 7886])).
% 4.44/4.61 tff(7888,plain,
% 4.44/4.61 (v933(constB2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6142, 7887])).
% 4.44/4.61 tff(7889,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6707, 7888, 7885])).
% 4.44/4.61 tff(7890,plain,(~(constB3 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7891,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5536, 6084, 6085, 5480])).
% 4.44/4.61 tff(7892,plain,((~(constB15 = sK293_VarCurr)) | v6(constB14, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7893,plain,
% 4.44/4.61 (v6(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7892, 3851])).
% 4.44/4.61 tff(7894,plain,
% 4.44/4.61 (v6(constB13, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5038, 7893])).
% 4.44/4.61 tff(7895,plain,
% 4.44/4.61 (v949(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5545, 7894])).
% 4.44/4.61 tff(7896,plain,
% 4.44/4.61 (v947(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5550, 7895])).
% 4.44/4.61 tff(7897,plain,
% 4.44/4.61 (v19(constB12, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7863, 7896])).
% 4.44/4.61 tff(7898,plain,
% 4.44/4.61 (~v19(constB12, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6791, 7897, 7857])).
% 4.44/4.61 tff(7899,plain,
% 4.44/4.61 (v16(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5554, 1913, 7896])).
% 4.44/4.61 tff(7900,plain,
% 4.44/4.61 (~v933(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5596, 4749, 7899, 7898])).
% 4.44/4.61 tff(7901,plain,
% 4.44/4.61 (~v935(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5589, 7900])).
% 4.44/4.61 tff(7902,plain,
% 4.44/4.61 (v6(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5575, 6084, 6085])).
% 4.44/4.61 tff(7903,plain,
% 4.44/4.61 (v6(constB13, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5024, 7902])).
% 4.44/4.61 tff(7904,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5584, 7903, 7901])).
% 4.44/4.61 tff(7905,plain,(~(constB15 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7906,plain,
% 4.44/4.61 (v935(constB9)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4723, 6638])).
% 4.44/4.61 tff(7907,plain,
% 4.44/4.61 (v933(constB8)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4738, 7906])).
% 4.44/4.61 tff(7908,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7843, 7907, 6632])).
% 4.44/4.61 tff(7909,plain,(~(constB9 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7910,plain,
% 4.44/4.61 (~v933(constB8)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7843, 5851])).
% 4.44/4.61 tff(7911,plain,
% 4.44/4.61 (~v935(constB9)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4738, 7910])).
% 4.44/4.61 tff(7912,plain,
% 4.44/4.61 (~v6(constB9, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4723, 7911])).
% 4.44/4.61 tff(7913,plain,
% 4.44/4.61 (~v6(constB10, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[2227, 7912])).
% 4.44/4.61 tff(7914,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7913, 5805])).
% 4.44/4.61 tff(7915,plain,(~(constB10 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7916,plain,
% 4.44/4.61 (v6(constB4, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6719, 2066])).
% 4.44/4.61 tff(7917,plain,
% 4.44/4.61 (v6(constB3, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4107, 7916])).
% 4.44/4.61 tff(7918,plain,
% 4.44/4.61 (v949(constB3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6200, 7917])).
% 4.44/4.61 tff(7919,plain,
% 4.44/4.61 (v947(constB2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6205, 7918])).
% 4.44/4.61 tff(7920,plain,
% 4.44/4.61 (v6(constB4, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6028, 2066])).
% 4.44/4.61 tff(7921,plain,
% 4.44/4.61 (v6(constB3, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4094, 7920])).
% 4.44/4.61 tff(7922,plain,
% 4.44/4.61 (v935(constB3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6137, 7921])).
% 4.44/4.61 tff(7923,plain,
% 4.44/4.61 (v933(constB2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6142, 7922])).
% 4.44/4.61 tff(7924,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6707, 7923, 7919])).
% 4.44/4.61 tff(7925,plain,(~(constB4 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7926,assumption,(~v6(constB13, bitIndex1)), introduced(assumption)).
% 4.44/4.61 tff(7927,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7926, 5753])).
% 4.44/4.61 tff(7928,plain,((~(constB13 = sK293_VarCurr)) | v6(constB13, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7929,plain,
% 4.44/4.61 (v6(constB13, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7928, 3879])).
% 4.44/4.61 tff(7930,plain,
% 4.44/4.61 (v949(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5545, 7929])).
% 4.44/4.61 tff(7931,plain,
% 4.44/4.61 (v947(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5550, 7930])).
% 4.44/4.61 tff(7932,plain,
% 4.44/4.61 (v19(constB12, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7863, 7931])).
% 4.44/4.61 tff(7933,plain,
% 4.44/4.61 (~v19(constB12, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6791, 7932, 7857])).
% 4.44/4.61 tff(7934,assumption,(~v6(constB13, bitIndex0)), introduced(assumption)).
% 4.44/4.61 tff(7935,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7934, 5757])).
% 4.44/4.61 tff(7936,plain,((~(constB13 = sK293_VarCurr)) | v6(constB13, bitIndex0)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7937,plain,
% 4.44/4.61 (v6(constB13, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7936, 3879])).
% 4.44/4.61 tff(7938,plain,
% 4.44/4.61 (v935(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5584, 7937])).
% 4.44/4.61 tff(7939,plain,
% 4.44/4.61 (v933(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5589, 7938])).
% 4.44/4.61 tff(7940,plain,
% 4.44/4.61 (~v16(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5596, 4749, 7939, 7933])).
% 4.44/4.61 tff(7941,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5554, 1913, 7931, 7940])).
% 4.44/4.61 tff(7942,plain,(~(constB13 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7943,plain,
% 4.44/4.61 (v6(constB4, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6067, 2303])).
% 4.44/4.61 tff(7944,plain,
% 4.44/4.61 (v6(constB3, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4094, 7943])).
% 4.44/4.61 tff(7945,plain,
% 4.44/4.61 (v935(constB3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6137, 7944])).
% 4.44/4.61 tff(7946,plain,
% 4.44/4.61 (v933(constB2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6142, 7945])).
% 4.44/4.61 tff(7947,plain,
% 4.44/4.61 (~v947(constB2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6707, 7946])).
% 4.44/4.61 tff(7948,plain,
% 4.44/4.61 (~v949(constB3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6205, 7947])).
% 4.44/4.61 tff(7949,plain,
% 4.44/4.61 (~v6(constB3, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6200, 7948])).
% 4.44/4.61 tff(7950,plain,
% 4.44/4.61 (~v6(constB4, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4107, 7949])).
% 4.44/4.61 tff(7951,plain,
% 4.44/4.61 (~v19(constB6, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7723, 7950, 6048])).
% 4.44/4.61 tff(7952,plain,
% 4.44/4.61 (v6(constB7, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7734, 2303])).
% 4.44/4.61 tff(7953,plain,
% 4.44/4.61 (v935(constB7)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5883, 7952])).
% 4.44/4.61 tff(7954,plain,
% 4.44/4.61 (v933(constB6)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5888, 7953])).
% 4.44/4.61 tff(7955,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5902, 4749, 7954, 6049, 7951])).
% 4.44/4.61 tff(7956,plain,(~(constB7 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7957,assumption,(~v6(constB11, bitIndex1)), introduced(assumption)).
% 4.44/4.61 tff(7958,plain,
% 4.44/4.61 (~v6(constB12, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6800, 7957])).
% 4.44/4.61 tff(7959,plain,
% 4.44/4.61 (v6(constB4, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6722, 2117])).
% 4.44/4.61 tff(7960,plain,
% 4.44/4.61 (v6(constB3, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4107, 7959])).
% 4.44/4.61 tff(7961,plain,
% 4.44/4.61 (v949(constB3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6200, 7960])).
% 4.44/4.61 tff(7962,plain,
% 4.44/4.61 (v947(constB2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6205, 7961])).
% 4.44/4.61 tff(7963,plain,
% 4.44/4.61 (v6(constB4, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6113, 2117])).
% 4.44/4.61 tff(7964,plain,
% 4.44/4.61 (v6(constB3, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[4094, 7963])).
% 4.44/4.61 tff(7965,plain,
% 4.44/4.61 (v935(constB3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6137, 7964])).
% 4.44/4.61 tff(7966,plain,
% 4.44/4.61 (v933(constB2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6142, 7965])).
% 4.44/4.61 tff(7967,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6707, 7966, 7962])).
% 4.44/4.61 tff(7968,plain,(~(constB6 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7969,plain,
% 4.44/4.61 (v6(constB11, bitIndex1)),
% 4.44/4.61 inference(modus_ponens,[status(thm)],[5182, 22])).
% 4.44/4.61 tff(7970,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7957, 7969])).
% 4.44/4.61 tff(7971,plain,((~(constB11 = sK293_VarCurr)) | v6(constB11, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7972,plain,
% 4.44/4.61 (~(constB11 = sK293_VarCurr)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7971, 7957])).
% 4.44/4.61 tff(7973,plain,
% 4.44/4.61 ((constB4 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | v911(constB16) | v918(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7362, 6365])).
% 4.44/4.61 tff(7974,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7973, 5085, 5075, 3267, 3876, 3878, 3951, 3424, 2181, 2180, 3950, 3877, 3268, 2090, 3423, 3917])).
% 4.44/4.61 tff(7975,plain,(v6(constB16, bitIndex0) | (constB7 = sK293_VarCurr) | (constB10 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB15 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7976,plain,
% 4.44/4.61 (v6(constB16, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7975, 3950, 3876, 3878, 3951, 3424, 2181, 2180, 3267, 3877, 3268, 2090, 3423, 3917])).
% 4.44/4.61 tff(7977,plain,
% 4.44/4.61 (v6(constB17, bitIndex1) | (constB16 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB10 = sK293_VarCurr)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6501, 6365])).
% 4.44/4.61 tff(7978,plain,
% 4.44/4.61 (v6(constB17, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7977, 3950, 3267, 3424, 3878, 3951, 2181, 3423, 3917, 2090, 3877, 3876, 2180, 3268])).
% 4.44/4.61 tff(7979,plain,
% 4.44/4.61 (v949(constB17)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5333, 7978])).
% 4.44/4.61 tff(7980,plain,
% 4.44/4.61 (v947(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5338, 7979])).
% 4.44/4.61 tff(7981,plain,
% 4.44/4.61 (v16(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5351, 1913, 7980])).
% 4.44/4.61 tff(7982,plain,
% 4.44/4.61 (v6(constB17, bitIndex0) | (constB7 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB18 = sK293_VarCurr) | (constB10 = sK293_VarCurr)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6583, 6365])).
% 4.44/4.61 tff(7983,plain,
% 4.44/4.61 (constB18 = sK293_VarCurr),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7982, 6559, 3267, 3878, 2181, 3424, 3951, 3917, 3423, 3877, 2090, 2180, 3268, 3950, 3876])).
% 4.44/4.61 tff(7984,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6515, 7983, 6560])).
% 4.44/4.61 tff(7985,plain,(v6(constB17, bitIndex0) | (constB7 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB10 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7986,plain,
% 4.44/4.61 (v6(constB17, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7985, 3950, 3878, 2181, 3424, 3951, 3917, 3423, 3877, 2090, 2180, 3268, 3267, 3876])).
% 4.44/4.61 tff(7987,plain,
% 4.44/4.61 (v935(constB17)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5414, 7986])).
% 4.44/4.61 tff(7988,plain,
% 4.44/4.61 (v933(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5419, 7987])).
% 4.44/4.61 tff(7989,plain,
% 4.44/4.61 (v19(constB16, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5427, 4749, 7988, 7981])).
% 4.44/4.61 tff(7990,plain,
% 4.44/4.61 (v6(constB15, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5102, 2871])).
% 4.44/4.61 tff(7991,plain,
% 4.44/4.61 (v935(constB15)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5466, 7990])).
% 4.44/4.61 tff(7992,plain,
% 4.44/4.61 (v933(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5471, 7991])).
% 4.44/4.61 tff(7993,plain,
% 4.44/4.61 (v19(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7569, 2912, 7992])).
% 4.44/4.61 tff(7994,plain,
% 4.44/4.61 (~v19(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5536, 7993, 5480])).
% 4.44/4.61 tff(7995,plain,
% 4.44/4.61 (v16(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7566, 2912, 2871])).
% 4.44/4.61 tff(7996,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5008, 4063, 5442, 7995, 7994])).
% 4.44/4.61 tff(7997,plain,(v911(constB16) | v6(constB14, bitIndex1) | (~v19(constB16, bitIndex0)) | (~v6(constB16, bitIndex0))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(7998,plain,
% 4.44/4.61 (v911(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7997, 7989, 5480, 7976])).
% 4.44/4.61 tff(7999,plain,
% 4.44/4.61 (~v25(constB16, bitIndex4)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5628, 5280, 7998])).
% 4.44/4.61 tff(8000,plain,
% 4.44/4.61 (~v25(constB16, bitIndex3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5635, 5258, 7998])).
% 4.44/4.61 tff(8001,plain,
% 4.44/4.61 (~v25(constB16, bitIndex2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5642, 5291, 7998])).
% 4.44/4.61 tff(8002,plain,
% 4.44/4.61 (~v25(constB16, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5649, 5247, 7998])).
% 4.44/4.61 tff(8003,plain,
% 4.44/4.61 (~v25(constB16, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5656, 5269, 7998])).
% 4.44/4.61 tff(8004,plain,
% 4.44/4.61 (~v918(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5663, 4630, 8003, 8002, 8001, 8000, 7999])).
% 4.44/4.61 tff(8005,plain,
% 4.44/4.61 (v19(constB16, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5353, 7980])).
% 4.44/4.61 tff(8006,plain,
% 4.44/4.61 (v6(constB16, bitIndex1) | v918(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5079, 747, 8005])).
% 4.44/4.61 tff(8007,plain,
% 4.44/4.61 (v6(constB16, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8006, 8004])).
% 4.44/4.61 tff(8008,plain,
% 4.44/4.61 (v6(constB15, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5069, 8007])).
% 4.44/4.61 tff(8009,plain,
% 4.44/4.61 (v949(constB15)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5060, 8008])).
% 4.44/4.61 tff(8010,plain,
% 4.44/4.61 (v947(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5052, 8009])).
% 4.44/4.61 tff(8011,plain,
% 4.44/4.61 (v16(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5001, 1913, 8010])).
% 4.44/4.61 tff(8012,plain,
% 4.44/4.61 (v19(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5008, 4063, 8010, 8011])).
% 4.44/4.61 tff(8013,plain,
% 4.44/4.61 (v6(constB15, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5102, 7976])).
% 4.44/4.61 tff(8014,plain,
% 4.44/4.61 (v935(constB15)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5466, 8013])).
% 4.44/4.61 tff(8015,plain,
% 4.44/4.61 (v933(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5471, 8014])).
% 4.44/4.61 tff(8016,plain,
% 4.44/4.61 ((~v16(constB14)) | v19(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5478, 4749, 8015])).
% 4.44/4.61 tff(8017,plain,
% 4.44/4.61 (v19(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8016, 8011])).
% 4.44/4.61 tff(8018,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5536, 8017, 8012, 5480])).
% 4.44/4.61 tff(8019,plain,((constB13 = sK293_VarCurr) | v6(constB14, bitIndex1) | (constB16 = sK293_VarCurr) | (constB11 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB6 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB10 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(8020,plain,
% 4.44/4.61 (v6(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8019, 7972, 7968, 3878, 3424, 3268, 3951, 3950, 3877, 2090, 3917, 2180, 3267, 3876])).
% 4.44/4.61 tff(8021,plain,
% 4.44/4.61 (v6(constB13, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5038, 8020])).
% 4.44/4.61 tff(8022,plain,
% 4.44/4.61 (v949(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5545, 8021])).
% 4.44/4.61 tff(8023,plain,
% 4.44/4.61 (v947(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5550, 8022])).
% 4.44/4.61 tff(8024,plain,
% 4.44/4.61 (v19(constB12, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7863, 8023])).
% 4.44/4.61 tff(8025,plain,
% 4.44/4.61 (~v19(constB12, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6791, 8024, 7958])).
% 4.44/4.61 tff(8026,plain,
% 4.44/4.61 (v16(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5554, 1913, 8023])).
% 4.44/4.61 tff(8027,plain,
% 4.44/4.61 (~v933(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5596, 4749, 8026, 8025])).
% 4.44/4.61 tff(8028,plain,
% 4.44/4.61 (~v935(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5589, 8027])).
% 4.44/4.61 tff(8029,plain,
% 4.44/4.61 (~v6(constB13, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5584, 8028])).
% 4.44/4.61 tff(8030,plain,
% 4.44/4.61 (v6(constB17, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7977, 7972, 7968, 3267, 3424, 3878, 3951, 3950, 3917, 2090, 3877, 3876, 2180, 3268])).
% 4.44/4.61 tff(8031,plain,
% 4.44/4.61 (v949(constB17)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5333, 8030])).
% 4.44/4.61 tff(8032,plain,
% 4.44/4.61 (v947(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5338, 8031])).
% 4.44/4.61 tff(8033,plain,
% 4.44/4.61 (v19(constB16, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5353, 8032])).
% 4.44/4.61 tff(8034,plain,
% 4.44/4.61 (v16(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5351, 1913, 8032])).
% 4.44/4.61 tff(8035,plain,
% 4.44/4.61 (v6(constB17, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7985, 7972, 7968, 3878, 3424, 3951, 3950, 3917, 3877, 2090, 2180, 3268, 3267, 3876])).
% 4.44/4.61 tff(8036,plain,
% 4.44/4.61 (v935(constB17)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5414, 8035])).
% 4.44/4.61 tff(8037,plain,
% 4.44/4.61 (v933(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5419, 8036])).
% 4.44/4.61 tff(8038,plain,
% 4.44/4.61 (v19(constB16, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5427, 4749, 8037, 8034])).
% 4.44/4.61 tff(8039,plain,
% 4.44/4.61 (v911(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5438, 5076])).
% 4.44/4.61 tff(8040,plain,
% 4.44/4.61 (~v25(constB16, bitIndex4)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5628, 5280, 8039])).
% 4.44/4.61 tff(8041,plain,
% 4.44/4.61 (~v25(constB16, bitIndex3)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5635, 5258, 8039])).
% 4.44/4.61 tff(8042,plain,
% 4.44/4.61 (~v25(constB16, bitIndex2)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5642, 5291, 8039])).
% 4.44/4.61 tff(8043,plain,
% 4.44/4.61 (~v25(constB16, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5656, 5269, 8039])).
% 4.44/4.61 tff(8044,plain,
% 4.44/4.61 (~v25(constB16, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5649, 5247, 8039])).
% 4.44/4.61 tff(8045,plain,
% 4.44/4.61 (v918(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7255, 5076])).
% 4.44/4.61 tff(8046,plain,
% 4.44/4.61 (v25(constB16, bitIndex4) | v25(constB16, bitIndex3) | v25(constB16, bitIndex2) | v25(constB16, bitIndex0) | v25(constB16, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5663, 4630, 8045])).
% 4.44/4.61 tff(8047,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8046, 8044, 8043, 8042, 8041, 8040])).
% 4.44/4.61 tff(8048,plain,(v6(constB16, bitIndex1) | (~v19(constB16, bitIndex0)) | (~v19(constB16, bitIndex1))), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(8049,plain,
% 4.44/4.61 (v6(constB16, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8048, 8038, 8033])).
% 4.44/4.61 tff(8050,plain,
% 4.44/4.61 (v6(constB15, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5069, 8049])).
% 4.44/4.61 tff(8051,plain,
% 4.44/4.61 (v949(constB15)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5060, 8050])).
% 4.44/4.61 tff(8052,plain,
% 4.44/4.61 (v947(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5052, 8051])).
% 4.44/4.61 tff(8053,plain,
% 4.44/4.61 (v16(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5001, 1913, 8052])).
% 4.44/4.61 tff(8054,plain,
% 4.44/4.61 (v19(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5008, 4063, 8052, 8053])).
% 4.44/4.61 tff(8055,plain,
% 4.44/4.61 (v6(constB16, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7975, 7972, 7968, 3878, 3876, 3424, 3951, 3950, 3267, 3877, 3917, 2090, 2180, 3268])).
% 4.44/4.61 tff(8056,plain,
% 4.44/4.61 (v6(constB15, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5102, 8055])).
% 4.44/4.61 tff(8057,plain,
% 4.44/4.61 (v935(constB15)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5466, 8056])).
% 4.44/4.61 tff(8058,plain,
% 4.44/4.61 (v933(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5471, 8057])).
% 4.44/4.61 tff(8059,plain,
% 4.44/4.61 ((~v16(constB14)) | v19(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5478, 4749, 8058])).
% 4.44/4.61 tff(8060,plain,
% 4.44/4.61 (v19(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8059, 8053])).
% 4.44/4.61 tff(8061,plain,
% 4.44/4.61 (v6(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5575, 8060, 8054])).
% 4.44/4.61 tff(8062,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5024, 8061, 8029])).
% 4.44/4.61 tff(8063,plain,(v6(constB11, bitIndex1) | (constB16 = sK293_VarCurr) | (constB19 = sK293_VarCurr) | (constB12 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB10 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(8064,plain,
% 4.44/4.61 (constB12 = sK293_VarCurr),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8063, 7957, 3424, 3878, 3950, 3917, 3877, 2090, 2180, 3268, 3267, 3876])).
% 4.44/4.61 tff(8065,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6977, 8064, 7958])).
% 4.44/4.61 tff(8066,plain,(v6(constB11, bitIndex1) | (constB19 = sK293_VarCurr) | (constB16 = sK293_VarCurr) | (constB13 = sK293_VarCurr) | (constB15 = sK293_VarCurr) | (constB14 = sK293_VarCurr) | (constB9 = sK293_VarCurr) | (constB3 = sK293_VarCurr) | (constB4 = sK293_VarCurr) | (constB7 = sK293_VarCurr) | (constB10 = sK293_VarCurr)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(8067,plain,
% 4.44/4.61 (constB19 = sK293_VarCurr),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8066, 7956, 7856, 7942, 7925, 7915, 7909, 7905, 7890, 7882, 7869])).
% 4.44/4.61 tff(8068,plain,
% 4.44/4.61 (v6(constB16, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8048, 5429, 5354])).
% 4.44/4.61 tff(8069,plain,
% 4.44/4.61 (v6(constB15, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5069, 8068])).
% 4.44/4.61 tff(8070,plain,
% 4.44/4.61 (v949(constB15)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5060, 8069])).
% 4.44/4.61 tff(8071,plain,
% 4.44/4.61 (v947(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5052, 8070])).
% 4.44/4.61 tff(8072,plain,
% 4.44/4.61 (v16(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5001, 1913, 8071])).
% 4.44/4.61 tff(8073,plain,
% 4.44/4.61 (v19(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5008, 4063, 8071, 8072])).
% 4.44/4.61 tff(8074,plain,
% 4.44/4.61 (~v19(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5536, 8073, 5480])).
% 4.44/4.61 tff(8075,plain,
% 4.44/4.61 (~v933(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5478, 4749, 8072, 8074])).
% 4.44/4.61 tff(8076,plain,
% 4.44/4.61 (~v935(constB15)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5471, 8075])).
% 4.44/4.61 tff(8077,plain,
% 4.44/4.61 (~v6(constB15, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5466, 8076])).
% 4.44/4.61 tff(8078,plain,
% 4.44/4.61 (~v6(constB16, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5102, 8077])).
% 4.44/4.61 tff(8079,plain,
% 4.44/4.61 (~v918(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5074, 645, 8078])).
% 4.44/4.61 tff(8080,plain,
% 4.44/4.61 (~v911(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5084, 2097, 8078])).
% 4.44/4.61 tff(8081,plain,
% 4.44/4.61 (~v702(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7329, 5354])).
% 4.44/4.61 tff(8082,plain,
% 4.44/4.61 (~v19(constB16, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7331, 8081])).
% 4.44/4.61 tff(8083,plain,
% 4.44/4.61 ((~v933(constB16)) | (~v16(constB16))),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5427, 4749, 8082])).
% 4.44/4.61 tff(8084,plain,
% 4.44/4.61 (~v933(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8083, 5421])).
% 4.44/4.61 tff(8085,plain,
% 4.44/4.61 (~v935(constB17)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5419, 8084])).
% 4.44/4.61 tff(8086,plain,
% 4.44/4.61 (~v6(constB17, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5414, 8085])).
% 4.44/4.61 tff(8087,plain,
% 4.44/4.61 (~v6(constB18, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5406, 8086])).
% 4.44/4.61 tff(8088,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5397, 5234, 5302, 8087])).
% 4.44/4.61 tff(8089,plain,((~(constB19 = sK293_VarCurr)) | v911(constB16) | v918(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(8090,plain,
% 4.44/4.61 ($false),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8089, 8080, 8079, 2589])).
% 4.44/4.61 tff(8091,plain,((~(constB19 = sK293_VarCurr)) | v6(constB14, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 4.44/4.61 tff(8092,plain,
% 4.44/4.61 (v6(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8091, 8067])).
% 4.44/4.61 tff(8093,plain,
% 4.44/4.61 (v6(constB13, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5038, 8092])).
% 4.44/4.61 tff(8094,plain,
% 4.44/4.61 (v949(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5545, 8093])).
% 4.44/4.61 tff(8095,plain,
% 4.44/4.61 (v947(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5550, 8094])).
% 4.44/4.61 tff(8096,plain,
% 4.44/4.61 (v19(constB12, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7863, 8095])).
% 4.44/4.61 tff(8097,plain,
% 4.44/4.61 (~v19(constB12, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[6791, 8096, 7857])).
% 4.44/4.61 tff(8098,plain,
% 4.44/4.61 (v16(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5554, 1913, 8095])).
% 4.44/4.61 tff(8099,plain,
% 4.44/4.61 (~v933(constB12)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5596, 4749, 8098, 8097])).
% 4.44/4.61 tff(8100,plain,
% 4.44/4.61 (~v935(constB13)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5589, 8099])).
% 4.44/4.61 tff(8101,plain,
% 4.44/4.61 (~v6(constB13, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5584, 8100])).
% 4.44/4.61 tff(8102,plain,
% 4.44/4.61 (~v6(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5024, 8101])).
% 4.44/4.61 tff(8103,plain,
% 4.44/4.61 (v918(constB16)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[8089, 2589, 2912])).
% 4.44/4.61 tff(8104,plain,
% 4.44/4.61 (v6(constB16, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5074, 645, 8103])).
% 4.44/4.61 tff(8105,plain,
% 4.44/4.61 (v6(constB15, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5102, 8104])).
% 4.44/4.61 tff(8106,plain,
% 4.44/4.61 (v935(constB15)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5466, 8105])).
% 4.44/4.61 tff(8107,plain,
% 4.44/4.61 (v933(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5471, 8106])).
% 4.44/4.61 tff(8108,plain,
% 4.44/4.61 (v19(constB14, bitIndex0)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7569, 8107, 2912])).
% 4.44/4.61 tff(8109,plain,
% 4.44/4.61 (~v19(constB14, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5575, 8108, 5556])).
% 4.44/4.61 tff(8110,plain,
% 4.44/4.61 (v16(constB14)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[7566, 8104, 2912])).
% 4.44/4.61 tff(8111,plain,
% 4.44/4.61 (v6(constB16, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5088, 2111, 2912, 5429])).
% 4.44/4.61 tff(8112,plain,
% 4.44/4.61 (v6(constB15, bitIndex1)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5069, 8111])).
% 4.44/4.61 tff(8113,plain,
% 4.44/4.61 (v949(constB15)),
% 4.44/4.61 inference(unit_resolution,[status(thm)],[5060, 8112])).
% 4.44/4.61 tff(8114,plain,
% 4.44/4.61 (v947(constB14)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5052, 8113])).
% 4.48/4.68 tff(8115,plain,
% 4.48/4.68 ($false),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5008, 4063, 8114, 8110, 8109])).
% 4.48/4.68 tff(8116,plain,((~(constB19 = sK293_VarCurr)) | v6(constB14, bitIndex0) | v911(constB16)), inference(lemma,lemma(discharge,[]))).
% 4.48/4.68 tff(8117,plain,
% 4.48/4.68 (v911(constB16)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[8116, 8102, 8067])).
% 4.48/4.68 tff(8118,plain,
% 4.48/4.68 (v6(constB18, bitIndex1)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5316, 8067])).
% 4.48/4.68 tff(8119,plain,
% 4.48/4.68 (v6(constB17, bitIndex1)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5325, 8118])).
% 4.48/4.68 tff(8120,plain,
% 4.48/4.68 (v949(constB17)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5333, 8119])).
% 4.48/4.68 tff(8121,plain,
% 4.48/4.68 (v947(constB16)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5338, 8120])).
% 4.48/4.68 tff(8122,plain,
% 4.48/4.68 (v19(constB16, bitIndex1)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5353, 8121])).
% 4.48/4.68 tff(8123,plain,
% 4.48/4.68 ($false),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[2863, 416, 7248, 2860])).
% 4.48/4.68 tff(8124,plain,(v19(constB16, bitIndex0) | (~v911(constB16))), inference(lemma,lemma(discharge,[]))).
% 4.48/4.68 tff(8125,plain,
% 4.48/4.68 (v19(constB16, bitIndex0)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[8124, 8117])).
% 4.48/4.68 tff(8126,plain,
% 4.48/4.68 (v6(constB16, bitIndex1)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[8048, 8125, 8122])).
% 4.48/4.68 tff(8127,plain,
% 4.48/4.68 (v6(constB15, bitIndex1)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5069, 8126])).
% 4.48/4.68 tff(8128,plain,
% 4.48/4.68 (v949(constB15)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5060, 8127])).
% 4.48/4.68 tff(8129,plain,
% 4.48/4.68 (v947(constB14)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5052, 8128])).
% 4.48/4.68 tff(8130,plain,
% 4.48/4.68 (v16(constB14)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5001, 1913, 8129])).
% 4.48/4.68 tff(8131,plain,
% 4.48/4.68 (v19(constB14, bitIndex1)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5008, 4063, 8129, 8130])).
% 4.48/4.68 tff(8132,plain,
% 4.48/4.68 (~v19(constB14, bitIndex0)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5575, 8131, 8102])).
% 4.48/4.68 tff(8133,plain,
% 4.48/4.68 (~v933(constB14)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5478, 4749, 8130, 8132])).
% 4.48/4.68 tff(8134,plain,
% 4.48/4.68 (~v935(constB15)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5471, 8133])).
% 4.48/4.68 tff(8135,plain,
% 4.48/4.68 (~v6(constB15, bitIndex0)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5466, 8134])).
% 4.48/4.68 tff(8136,plain,
% 4.48/4.68 (~v6(constB16, bitIndex0)),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5102, 8135])).
% 4.48/4.68 tff(8137,plain,
% 4.48/4.68 ($false),
% 4.48/4.68 inference(unit_resolution,[status(thm)],[5084, 2097, 8136, 8117])).
% 4.48/4.68 % SZS output end Proof
% 4.48/4.69 % E exiting
%------------------------------------------------------------------------------