%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV095_1 : TPTP v9.0.0. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n010.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 05:10:48 AM UTC 2025
% Result : Theorem 2.38s 2.53s
% Output : Proof 2.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : HWV095_1 : TPTP v9.0.0. Bugfixed v6.2.0.
% 0.03/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n010.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Jun 19 17:42:41 EDT 2025
% 0.12/0.34 % CPUTime :
% 2.38/2.53 % SZS status Theorem
% 2.38/2.53 % SZS output start Proof
% 2.38/2.53 tff(v1007_type, type, (
% 2.38/2.53 v1007: ( state_type * bitindex_type ) > $o)).
% 2.38/2.53 tff(bitIndex5_type, type, (
% 2.38/2.53 bitIndex5: bitindex_type)).
% 2.38/2.53 tff(tptp_fun_VarCurr_0_type, type, (
% 2.38/2.53 tptp_fun_VarCurr_0: state_type)).
% 2.38/2.53 tff(v1003_type, type, (
% 2.38/2.53 v1003: state_type > $o)).
% 2.38/2.53 tff(v1001_type, type, (
% 2.38/2.53 v1001: state_type > $o)).
% 2.38/2.53 tff(v1000_type, type, (
% 2.38/2.53 v1000: ( state_type * bitindex_type ) > $o)).
% 2.38/2.53 tff(bitIndex0_type, type, (
% 2.38/2.53 bitIndex0: bitindex_type)).
% 2.38/2.53 tff(bitIndex1_type, type, (
% 2.38/2.53 bitIndex1: bitindex_type)).
% 2.38/2.53 tff(v999_type, type, (
% 2.38/2.53 v999: state_type > $o)).
% 2.38/2.53 tff(v998_type, type, (
% 2.38/2.53 v998: state_type > $o)).
% 2.38/2.53 tff(v1010_type, type, (
% 2.38/2.53 v1010: state_type > $o)).
% 2.38/2.53 tff(v996_type, type, (
% 2.38/2.53 v996: state_type > $o)).
% 2.38/2.53 tff(v995_type, type, (
% 2.38/2.53 v995: state_type > $o)).
% 2.38/2.53 tff(v4_type, type, (
% 2.38/2.53 v4: state_type > $o)).
% 2.38/2.53 tff(reachableState_type, type, (
% 2.38/2.53 reachableState: state_type > $o)).
% 2.38/2.53 tff(1,plain,
% 2.38/2.53 (^[VarCurr: state_type] : refl((~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr))) <=> (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr))))),
% 2.38/2.53 inference(bind,[status(th)],[])).
% 2.38/2.53 tff(2,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr))) <=> ![VarCurr: state_type] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))),
% 2.38/2.53 inference(quant_intro,[status(thm)],[1])).
% 2.38/2.53 tff(3,plain,
% 2.38/2.53 (^[VarCurr: state_type] : trans(trans(monotonicity(rewrite((v1003(VarCurr) & v1007(VarCurr, bitIndex5)) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))))), ((v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5))) <=> (v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))))))), rewrite((v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))))) <=> (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))), ((v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5))) <=> (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr))))), rewrite((~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr))) <=> (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))), ((v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5))) <=> (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))))),
% 2.38/2.53 inference(bind,[status(th)],[])).
% 2.38/2.53 tff(4,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5))) <=> ![VarCurr: state_type] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))),
% 2.38/2.53 inference(quant_intro,[status(thm)],[3])).
% 2.38/2.53 tff(5,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5))) <=> ![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5)))),
% 2.38/2.53 inference(rewrite,[status(thm)],[])).
% 2.38/2.53 tff(6,axiom,(![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78')).
% 2.38/2.53 tff(7,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5)))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[6, 5])).
% 2.38/2.53 tff(8,plain,(
% 2.38/2.53 ![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5)))),
% 2.38/2.53 inference(skolemize,[status(sab)],[7])).
% 2.38/2.53 tff(9,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[8, 4])).
% 2.38/2.53 tff(10,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[9, 2])).
% 2.38/2.53 tff(11,plain,
% 2.38/2.53 ((~![VarCurr: state_type] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))) | (~(((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) <=> v1001(VarCurr!0)))),
% 2.38/2.53 inference(quant_inst,[status(thm)],[])).
% 2.38/2.53 tff(12,plain,
% 2.38/2.53 (~(((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) <=> v1001(VarCurr!0))),
% 2.38/2.53 inference(unit_resolution,[status(thm)],[11, 10])).
% 2.38/2.53 tff(13,plain,
% 2.38/2.53 (^[VarCurr: state_type] : refl((v1000(VarCurr, bitIndex0) <=> v1001(VarCurr)) <=> (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr)))),
% 2.38/2.53 inference(bind,[status(th)],[])).
% 2.38/2.53 tff(14,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr)) <=> ![VarCurr: state_type] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.38/2.53 inference(quant_intro,[status(thm)],[13])).
% 2.38/2.53 tff(15,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr)) <=> ![VarCurr: state_type] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.38/2.53 inference(rewrite,[status(thm)],[])).
% 2.38/2.53 tff(16,axiom,(![VarCurr: state_type] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_245')).
% 2.38/2.53 tff(17,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[16, 15])).
% 2.38/2.53 tff(18,plain,(
% 2.38/2.53 ![VarCurr: state_type] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.38/2.53 inference(skolemize,[status(sab)],[17])).
% 2.38/2.53 tff(19,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[18, 14])).
% 2.38/2.53 tff(20,plain,
% 2.38/2.53 ((~![VarCurr: state_type] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))) | (v1000(VarCurr!0, bitIndex0) <=> v1001(VarCurr!0))),
% 2.38/2.53 inference(quant_inst,[status(thm)],[])).
% 2.38/2.53 tff(21,plain,
% 2.38/2.53 (v1000(VarCurr!0, bitIndex0) <=> v1001(VarCurr!0)),
% 2.38/2.53 inference(unit_resolution,[status(thm)],[20, 19])).
% 2.38/2.53 tff(22,plain,
% 2.38/2.53 (^[VarCurr: state_type] : refl((~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr))) <=> (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr))))),
% 2.38/2.53 inference(bind,[status(th)],[])).
% 2.38/2.53 tff(23,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr))) <=> ![VarCurr: state_type] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))),
% 2.38/2.53 inference(quant_intro,[status(thm)],[22])).
% 2.38/2.53 tff(24,plain,
% 2.38/2.53 (^[VarCurr: state_type] : trans(trans(monotonicity(rewrite((v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1)) <=> (~((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))))), ((v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1))) <=> (v999(VarCurr) <=> (~((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))))))), rewrite((v999(VarCurr) <=> (~((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))))) <=> (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))), ((v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1))) <=> (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr))))), rewrite((~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr))) <=> (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))), ((v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1))) <=> (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))))),
% 2.38/2.53 inference(bind,[status(th)],[])).
% 2.38/2.53 tff(25,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))),
% 2.38/2.53 inference(quant_intro,[status(thm)],[24])).
% 2.38/2.53 tff(26,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1)))),
% 2.38/2.53 inference(rewrite,[status(thm)],[])).
% 2.38/2.53 tff(27,axiom,(![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_79')).
% 2.38/2.53 tff(28,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1)))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[27, 26])).
% 2.38/2.53 tff(29,plain,(
% 2.38/2.53 ![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1)))),
% 2.38/2.53 inference(skolemize,[status(sab)],[28])).
% 2.38/2.53 tff(30,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[29, 25])).
% 2.38/2.53 tff(31,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[30, 23])).
% 2.38/2.53 tff(32,plain,
% 2.38/2.53 ((~![VarCurr: state_type] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))) | (~(((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))) <=> v999(VarCurr!0)))),
% 2.38/2.53 inference(quant_inst,[status(thm)],[])).
% 2.38/2.53 tff(33,plain,
% 2.38/2.53 (~(((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))) <=> v999(VarCurr!0))),
% 2.38/2.53 inference(unit_resolution,[status(thm)],[32, 31])).
% 2.38/2.53 tff(34,plain,
% 2.38/2.53 (^[VarCurr: state_type] : refl((~(v998(VarCurr) <=> v999(VarCurr))) <=> (~(v998(VarCurr) <=> v999(VarCurr))))),
% 2.38/2.53 inference(bind,[status(th)],[])).
% 2.38/2.53 tff(35,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr))) <=> ![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.38/2.53 inference(quant_intro,[status(thm)],[34])).
% 2.38/2.53 tff(36,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr))) <=> ![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.38/2.53 inference(rewrite,[status(thm)],[])).
% 2.38/2.53 tff(37,plain,
% 2.38/2.53 (^[VarCurr: state_type] : trans(rewrite(((~v998(VarCurr)) <=> v999(VarCurr)) <=> (~(v998(VarCurr) <=> v999(VarCurr)))), rewrite((~(v998(VarCurr) <=> v999(VarCurr))) <=> (~(v998(VarCurr) <=> v999(VarCurr)))), (((~v998(VarCurr)) <=> v999(VarCurr)) <=> (~(v998(VarCurr) <=> v999(VarCurr)))))),
% 2.38/2.53 inference(bind,[status(th)],[])).
% 2.38/2.53 tff(38,plain,
% 2.38/2.53 (![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr)) <=> ![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.38/2.53 inference(quant_intro,[status(thm)],[37])).
% 2.38/2.53 tff(39,axiom,(![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_111')).
% 2.38/2.53 tff(40,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[39, 38])).
% 2.38/2.53 tff(41,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[40, 36])).
% 2.38/2.53 tff(42,plain,(
% 2.38/2.53 ![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.38/2.53 inference(skolemize,[status(sab)],[41])).
% 2.38/2.53 tff(43,plain,
% 2.38/2.53 (![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.38/2.53 inference(modus_ponens,[status(thm)],[42, 35])).
% 2.38/2.53 tff(44,plain,
% 2.38/2.53 ((~![VarCurr: state_type] : (~(v998(VarCurr) <=> v999(VarCurr)))) | (~(v998(VarCurr!0) <=> v999(VarCurr!0)))),
% 2.38/2.53 inference(quant_inst,[status(thm)],[])).
% 2.38/2.53 tff(45,plain,
% 2.38/2.53 (~(v998(VarCurr!0) <=> v999(VarCurr!0))),
% 2.38/2.53 inference(unit_resolution,[status(thm)],[44, 43])).
% 2.38/2.53 tff(46,plain,
% 2.38/2.53 (^[VarCurr: state_type] : refl((v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1))) <=> (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1))))),
% 2.38/2.53 inference(bind,[status(th)],[])).
% 2.38/2.53 tff(47,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.38/2.53 inference(quant_intro,[status(thm)],[46])).
% 2.38/2.53 tff(48,plain,
% 2.38/2.53 (![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1))) <=> ![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.38/2.53 inference(rewrite,[status(thm)],[])).
% 2.38/2.53 tff(49,axiom,(![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_80')).
% 2.38/2.54 tff(50,plain,
% 2.38/2.54 (![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[49, 48])).
% 2.38/2.54 tff(51,plain,(
% 2.38/2.54 ![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.38/2.54 inference(skolemize,[status(sab)],[50])).
% 2.38/2.54 tff(52,plain,
% 2.38/2.54 (![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[51, 47])).
% 2.38/2.54 tff(53,plain,
% 2.38/2.54 ((~![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))) | (v1010(VarCurr!0) <=> (v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)))),
% 2.38/2.54 inference(quant_inst,[status(thm)],[])).
% 2.38/2.54 tff(54,plain,
% 2.38/2.54 (v1010(VarCurr!0) <=> (v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[53, 52])).
% 2.38/2.54 tff(55,assumption,(~v1000(VarCurr!0, bitIndex1)), introduced(assumption)).
% 2.38/2.54 tff(56,plain,
% 2.38/2.54 (^[VarCurr: state_type] : refl(v1000(VarCurr, bitIndex1) <=> v1000(VarCurr, bitIndex1))),
% 2.38/2.54 inference(bind,[status(th)],[])).
% 2.38/2.54 tff(57,plain,
% 2.38/2.54 (![VarCurr: state_type] : v1000(VarCurr, bitIndex1) <=> ![VarCurr: state_type] : v1000(VarCurr, bitIndex1)),
% 2.38/2.54 inference(quant_intro,[status(thm)],[56])).
% 2.38/2.54 tff(58,plain,
% 2.38/2.54 (![VarCurr: state_type] : v1000(VarCurr, bitIndex1) <=> ![VarCurr: state_type] : v1000(VarCurr, bitIndex1)),
% 2.38/2.54 inference(rewrite,[status(thm)],[])).
% 2.38/2.54 tff(59,plain,
% 2.38/2.54 (^[VarCurr: state_type] : rewrite((v1000(VarCurr, bitIndex1) <=> $true) <=> v1000(VarCurr, bitIndex1))),
% 2.38/2.54 inference(bind,[status(th)],[])).
% 2.38/2.54 tff(60,plain,
% 2.38/2.54 (![VarCurr: state_type] : (v1000(VarCurr, bitIndex1) <=> $true) <=> ![VarCurr: state_type] : v1000(VarCurr, bitIndex1)),
% 2.38/2.54 inference(quant_intro,[status(thm)],[59])).
% 2.38/2.54 tff(61,axiom,(![VarCurr: state_type] : (v1000(VarCurr, bitIndex1) <=> $true)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_244')).
% 2.38/2.54 tff(62,plain,
% 2.38/2.54 (![VarCurr: state_type] : v1000(VarCurr, bitIndex1)),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[61, 60])).
% 2.38/2.54 tff(63,plain,
% 2.38/2.54 (![VarCurr: state_type] : v1000(VarCurr, bitIndex1)),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[62, 58])).
% 2.38/2.54 tff(64,plain,(
% 2.38/2.54 ![VarCurr: state_type] : v1000(VarCurr, bitIndex1)),
% 2.38/2.54 inference(skolemize,[status(sab)],[63])).
% 2.38/2.54 tff(65,plain,
% 2.38/2.54 (![VarCurr: state_type] : v1000(VarCurr, bitIndex1)),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[64, 57])).
% 2.38/2.54 tff(66,plain,
% 2.38/2.54 ((~![VarCurr: state_type] : v1000(VarCurr, bitIndex1)) | v1000(VarCurr!0, bitIndex1)),
% 2.38/2.54 inference(quant_inst,[status(thm)],[])).
% 2.38/2.54 tff(67,plain,
% 2.38/2.54 ($false),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[66, 65, 55])).
% 2.38/2.54 tff(68,plain,(v1000(VarCurr!0, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 2.38/2.54 tff(69,plain,
% 2.38/2.54 ((v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)) | (~v1000(VarCurr!0, bitIndex1))),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(70,plain,
% 2.38/2.54 (v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[69, 68])).
% 2.38/2.54 tff(71,plain,
% 2.38/2.54 ((~(v1010(VarCurr!0) <=> (v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)))) | v1010(VarCurr!0) | (~(v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)))),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(72,plain,
% 2.38/2.54 ((~(v1010(VarCurr!0) <=> (v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)))) | v1010(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[71, 70])).
% 2.38/2.54 tff(73,plain,
% 2.38/2.54 (v1010(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[72, 54])).
% 2.38/2.54 tff(74,plain,
% 2.38/2.54 (^[VarCurr: state_type] : refl((~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr))) <=> (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr))))),
% 2.38/2.54 inference(bind,[status(th)],[])).
% 2.38/2.54 tff(75,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr))) <=> ![VarCurr: state_type] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))),
% 2.38/2.54 inference(quant_intro,[status(thm)],[74])).
% 2.38/2.54 tff(76,plain,
% 2.38/2.54 (^[VarCurr: state_type] : trans(trans(monotonicity(rewrite((v998(VarCurr) & v1010(VarCurr)) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr))))), ((v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> (v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr))))))), rewrite((v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr))))) <=> (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))), ((v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr))))), rewrite((~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr))) <=> (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))), ((v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))))),
% 2.38/2.54 inference(bind,[status(th)],[])).
% 2.38/2.54 tff(77,plain,
% 2.38/2.54 (![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> ![VarCurr: state_type] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))),
% 2.38/2.54 inference(quant_intro,[status(thm)],[76])).
% 2.38/2.54 tff(78,plain,
% 2.38/2.54 (![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> ![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))),
% 2.38/2.54 inference(rewrite,[status(thm)],[])).
% 2.38/2.54 tff(79,axiom,(![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_170')).
% 2.38/2.54 tff(80,plain,
% 2.38/2.54 (![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[79, 78])).
% 2.38/2.54 tff(81,plain,(
% 2.38/2.54 ![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))),
% 2.38/2.54 inference(skolemize,[status(sab)],[80])).
% 2.38/2.54 tff(82,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[81, 77])).
% 2.38/2.54 tff(83,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[82, 75])).
% 2.38/2.54 tff(84,plain,
% 2.38/2.54 ((~![VarCurr: state_type] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))) | (~(((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) <=> v996(VarCurr!0)))),
% 2.38/2.54 inference(quant_inst,[status(thm)],[])).
% 2.38/2.54 tff(85,plain,
% 2.38/2.54 (~(((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) <=> v996(VarCurr!0))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[84, 83])).
% 2.38/2.54 tff(86,plain,
% 2.38/2.54 (^[VarCurr: state_type] : refl((~(v995(VarCurr) <=> v996(VarCurr))) <=> (~(v995(VarCurr) <=> v996(VarCurr))))),
% 2.38/2.54 inference(bind,[status(th)],[])).
% 2.38/2.54 tff(87,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr))) <=> ![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.38/2.54 inference(quant_intro,[status(thm)],[86])).
% 2.38/2.54 tff(88,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr))) <=> ![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.38/2.54 inference(rewrite,[status(thm)],[])).
% 2.38/2.54 tff(89,plain,
% 2.38/2.54 (^[VarCurr: state_type] : trans(rewrite(((~v995(VarCurr)) <=> v996(VarCurr)) <=> (~(v995(VarCurr) <=> v996(VarCurr)))), rewrite((~(v995(VarCurr) <=> v996(VarCurr))) <=> (~(v995(VarCurr) <=> v996(VarCurr)))), (((~v995(VarCurr)) <=> v996(VarCurr)) <=> (~(v995(VarCurr) <=> v996(VarCurr)))))),
% 2.38/2.54 inference(bind,[status(th)],[])).
% 2.38/2.54 tff(90,plain,
% 2.38/2.54 (![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr)) <=> ![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.38/2.54 inference(quant_intro,[status(thm)],[89])).
% 2.38/2.54 tff(91,axiom,(![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_112')).
% 2.38/2.54 tff(92,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[91, 90])).
% 2.38/2.54 tff(93,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[92, 88])).
% 2.38/2.54 tff(94,plain,(
% 2.38/2.54 ![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.38/2.54 inference(skolemize,[status(sab)],[93])).
% 2.38/2.54 tff(95,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[94, 87])).
% 2.38/2.54 tff(96,plain,
% 2.38/2.54 ((~![VarCurr: state_type] : (~(v995(VarCurr) <=> v996(VarCurr)))) | (~(v995(VarCurr!0) <=> v996(VarCurr!0)))),
% 2.38/2.54 inference(quant_inst,[status(thm)],[])).
% 2.38/2.54 tff(97,plain,
% 2.38/2.54 (~(v995(VarCurr!0) <=> v996(VarCurr!0))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[96, 95])).
% 2.38/2.54 tff(98,plain,
% 2.38/2.54 (^[VarCurr: state_type] : refl((~(v4(VarCurr) <=> v995(VarCurr))) <=> (~(v4(VarCurr) <=> v995(VarCurr))))),
% 2.38/2.54 inference(bind,[status(th)],[])).
% 2.38/2.54 tff(99,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr))) <=> ![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.38/2.54 inference(quant_intro,[status(thm)],[98])).
% 2.38/2.54 tff(100,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr))) <=> ![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.38/2.54 inference(rewrite,[status(thm)],[])).
% 2.38/2.54 tff(101,plain,
% 2.38/2.54 (^[VarCurr: state_type] : trans(rewrite(((~v4(VarCurr)) <=> v995(VarCurr)) <=> (~(v4(VarCurr) <=> v995(VarCurr)))), rewrite((~(v4(VarCurr) <=> v995(VarCurr))) <=> (~(v4(VarCurr) <=> v995(VarCurr)))), (((~v4(VarCurr)) <=> v995(VarCurr)) <=> (~(v4(VarCurr) <=> v995(VarCurr)))))),
% 2.38/2.54 inference(bind,[status(th)],[])).
% 2.38/2.54 tff(102,plain,
% 2.38/2.54 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr)) <=> ![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.38/2.54 inference(quant_intro,[status(thm)],[101])).
% 2.38/2.54 tff(103,axiom,(![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_113')).
% 2.38/2.54 tff(104,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[103, 102])).
% 2.38/2.54 tff(105,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[104, 100])).
% 2.38/2.54 tff(106,plain,(
% 2.38/2.54 ![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.38/2.54 inference(skolemize,[status(sab)],[105])).
% 2.38/2.54 tff(107,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[106, 99])).
% 2.38/2.54 tff(108,plain,
% 2.38/2.54 ((~![VarCurr: state_type] : (~(v4(VarCurr) <=> v995(VarCurr)))) | (~(v4(VarCurr!0) <=> v995(VarCurr!0)))),
% 2.38/2.54 inference(quant_inst,[status(thm)],[])).
% 2.38/2.54 tff(109,plain,
% 2.38/2.54 (~(v4(VarCurr!0) <=> v995(VarCurr!0))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[108, 107])).
% 2.38/2.54 tff(110,plain,
% 2.38/2.54 ((~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr))))),
% 2.38/2.54 inference(rewrite,[status(thm)],[])).
% 2.38/2.54 tff(111,plain,
% 2.38/2.54 ((~![VarCurr: state_type] : (reachableState(VarCurr) => v4(VarCurr))) <=> (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr))))),
% 2.38/2.54 inference(rewrite,[status(thm)],[])).
% 2.38/2.54 tff(112,axiom,(~![VarCurr: state_type] : (reachableState(VarCurr) => v4(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion')).
% 2.38/2.54 tff(113,plain,
% 2.38/2.54 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[112, 111])).
% 2.38/2.54 tff(114,plain,
% 2.38/2.54 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[113, 110])).
% 2.38/2.54 tff(115,plain,
% 2.38/2.54 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[114, 110])).
% 2.38/2.54 tff(116,plain,
% 2.38/2.54 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 2.38/2.54 inference(modus_ponens,[status(thm)],[115, 110])).
% 2.38/2.54 tff(117,plain,(
% 2.38/2.54 ~(v4(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 2.38/2.54 inference(skolemize,[status(sab)],[116])).
% 2.38/2.54 tff(118,plain,
% 2.38/2.54 (~v4(VarCurr!0)),
% 2.38/2.54 inference(or_elim,[status(thm)],[117])).
% 2.38/2.54 tff(119,plain,
% 2.38/2.54 ((v4(VarCurr!0) <=> v995(VarCurr!0)) | v4(VarCurr!0) | v995(VarCurr!0)),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(120,plain,
% 2.38/2.54 ((v4(VarCurr!0) <=> v995(VarCurr!0)) | v995(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[119, 118])).
% 2.38/2.54 tff(121,plain,
% 2.38/2.54 (v995(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[120, 109])).
% 2.38/2.54 tff(122,plain,
% 2.38/2.54 ((v995(VarCurr!0) <=> v996(VarCurr!0)) | (~v995(VarCurr!0)) | (~v996(VarCurr!0))),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(123,plain,
% 2.38/2.54 ((v995(VarCurr!0) <=> v996(VarCurr!0)) | (~v996(VarCurr!0))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[122, 121])).
% 2.38/2.54 tff(124,plain,
% 2.38/2.54 (~v996(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[123, 97])).
% 2.38/2.54 tff(125,plain,
% 2.38/2.54 ((((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) <=> v996(VarCurr!0)) | ((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) | v996(VarCurr!0)),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(126,plain,
% 2.38/2.54 ((((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) <=> v996(VarCurr!0)) | ((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[125, 124])).
% 2.38/2.54 tff(127,plain,
% 2.38/2.54 ((~v998(VarCurr!0)) | (~v1010(VarCurr!0))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[126, 85])).
% 2.38/2.54 tff(128,plain,
% 2.38/2.54 ((~((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))) | (~v998(VarCurr!0)) | (~v1010(VarCurr!0))),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(129,plain,
% 2.38/2.54 ((~v998(VarCurr!0)) | (~v1010(VarCurr!0))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[128, 127])).
% 2.38/2.54 tff(130,plain,
% 2.38/2.54 (~v998(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[129, 73])).
% 2.38/2.54 tff(131,plain,
% 2.38/2.54 ((v998(VarCurr!0) <=> v999(VarCurr!0)) | v998(VarCurr!0) | v999(VarCurr!0)),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(132,plain,
% 2.38/2.54 ((v998(VarCurr!0) <=> v999(VarCurr!0)) | v999(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[131, 130])).
% 2.38/2.54 tff(133,plain,
% 2.38/2.54 (v999(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[132, 45])).
% 2.38/2.54 tff(134,plain,
% 2.38/2.54 ((((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))) <=> v999(VarCurr!0)) | (~((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1)))) | (~v999(VarCurr!0))),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(135,plain,
% 2.38/2.54 (~((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1)))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[134, 133, 33])).
% 2.38/2.54 tff(136,plain,
% 2.38/2.54 (((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))) | v1000(VarCurr!0, bitIndex0)),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(137,plain,
% 2.38/2.54 (v1000(VarCurr!0, bitIndex0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[136, 135])).
% 2.38/2.54 tff(138,plain,
% 2.38/2.54 ((~(v1000(VarCurr!0, bitIndex0) <=> v1001(VarCurr!0))) | (~v1000(VarCurr!0, bitIndex0)) | v1001(VarCurr!0)),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(139,plain,
% 2.38/2.54 ((~(v1000(VarCurr!0, bitIndex0) <=> v1001(VarCurr!0))) | v1001(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[138, 137])).
% 2.38/2.54 tff(140,plain,
% 2.38/2.54 (v1001(VarCurr!0)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[139, 21])).
% 2.38/2.54 tff(141,plain,
% 2.38/2.54 ((((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) <=> v1001(VarCurr!0)) | (~((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5)))) | (~v1001(VarCurr!0))),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(142,plain,
% 2.38/2.54 ((((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) <=> v1001(VarCurr!0)) | (~((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[141, 140])).
% 2.38/2.54 tff(143,plain,
% 2.38/2.54 (~((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5)))),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[142, 12])).
% 2.38/2.54 tff(144,plain,
% 2.38/2.54 (((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) | v1007(VarCurr!0, bitIndex5)),
% 2.38/2.54 inference(tautology,[status(thm)],[])).
% 2.38/2.54 tff(145,plain,
% 2.38/2.54 (v1007(VarCurr!0, bitIndex5)),
% 2.38/2.54 inference(unit_resolution,[status(thm)],[144, 143])).
% 2.38/2.54 tff(146,plain,
% 2.38/2.54 (^[VarCurr: state_type] : refl((~v1007(VarCurr, bitIndex5)) <=> (~v1007(VarCurr, bitIndex5)))),
% 2.38/2.54 inference(bind,[status(th)],[])).
% 2.38/2.54 tff(147,plain,
% 2.38/2.54 (![VarCurr: state_type] : (~v1007(VarCurr, bitIndex5)) <=> ![VarCurr: state_type] : (~v1007(VarCurr, bitIndex5))),
% 2.38/2.59 inference(quant_intro,[status(thm)],[146])).
% 2.38/2.59 tff(148,plain,
% 2.38/2.59 (![VarCurr: state_type] : (~v1007(VarCurr, bitIndex5)) <=> ![VarCurr: state_type] : (~v1007(VarCurr, bitIndex5))),
% 2.38/2.59 inference(rewrite,[status(thm)],[])).
% 2.38/2.59 tff(149,axiom,(![VarCurr: state_type] : (~v1007(VarCurr, bitIndex5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addZeroExtensionConstraint_3')).
% 2.38/2.59 tff(150,plain,
% 2.38/2.59 (![VarCurr: state_type] : (~v1007(VarCurr, bitIndex5))),
% 2.38/2.59 inference(modus_ponens,[status(thm)],[149, 148])).
% 2.38/2.59 tff(151,plain,(
% 2.38/2.59 ![VarCurr: state_type] : (~v1007(VarCurr, bitIndex5))),
% 2.38/2.59 inference(skolemize,[status(sab)],[150])).
% 2.38/2.59 tff(152,plain,
% 2.38/2.59 (![VarCurr: state_type] : (~v1007(VarCurr, bitIndex5))),
% 2.38/2.59 inference(modus_ponens,[status(thm)],[151, 147])).
% 2.38/2.59 tff(153,plain,
% 2.38/2.59 ((~![VarCurr: state_type] : (~v1007(VarCurr, bitIndex5))) | (~v1007(VarCurr!0, bitIndex5))),
% 2.38/2.59 inference(quant_inst,[status(thm)],[])).
% 2.38/2.59 tff(154,plain,
% 2.38/2.59 ($false),
% 2.38/2.59 inference(unit_resolution,[status(thm)],[153, 152, 145])).
% 2.38/2.59 % SZS output end Proof
% 2.38/2.59 % E exiting
%------------------------------------------------------------------------------