%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : HWV095+1 : TPTP v9.0.0. Released v6.1.0.
% 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 2.15s 2.30s
% Output : Proof 2.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.12 % Problem : HWV095+1 : TPTP v9.0.0. Released v6.1.0.
% 0.02/0.12 % 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 17:42:27 EDT 2025
% 0.12/0.33 % CPUTime :
% 2.15/2.30 % SZS status Theorem
% 2.15/2.30 % SZS output start Proof
% 2.15/2.30 tff(v999_type, type, (
% 2.15/2.30 v999: $i > $o)).
% 2.15/2.30 tff(tptp_fun_VarCurr_0_type, type, (
% 2.15/2.30 tptp_fun_VarCurr_0: $i)).
% 2.15/2.30 tff(v998_type, type, (
% 2.15/2.30 v998: $i > $o)).
% 2.15/2.30 tff(v1000_type, type, (
% 2.15/2.30 v1000: ( $i * $i ) > $o)).
% 2.15/2.30 tff(bitIndex1_type, type, (
% 2.15/2.30 bitIndex1: $i)).
% 2.15/2.30 tff(bitIndex0_type, type, (
% 2.15/2.30 bitIndex0: $i)).
% 2.15/2.30 tff(v1001_type, type, (
% 2.15/2.30 v1001: $i > $o)).
% 2.15/2.30 tff(v1007_type, type, (
% 2.15/2.30 v1007: ( $i * $i ) > $o)).
% 2.15/2.30 tff(bitIndex5_type, type, (
% 2.15/2.30 bitIndex5: $i)).
% 2.15/2.30 tff(v1003_type, type, (
% 2.15/2.30 v1003: $i > $o)).
% 2.15/2.30 tff(v1010_type, type, (
% 2.15/2.30 v1010: $i > $o)).
% 2.15/2.30 tff(v996_type, type, (
% 2.15/2.30 v996: $i > $o)).
% 2.15/2.30 tff(v995_type, type, (
% 2.15/2.30 v995: $i > $o)).
% 2.15/2.30 tff(v4_type, type, (
% 2.15/2.30 v4: $i > $o)).
% 2.15/2.30 tff(reachableState_type, type, (
% 2.15/2.30 reachableState: $i > $o)).
% 2.15/2.30 tff(1,assumption,(v998(VarCurr!0) <=> v999(VarCurr!0)), introduced(assumption)).
% 2.15/2.30 tff(2,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl((~(v998(VarCurr) <=> v999(VarCurr))) <=> (~(v998(VarCurr) <=> v999(VarCurr))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(3,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr))) <=> ![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[2])).
% 2.15/2.30 tff(4,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr))) <=> ![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(5,plain,
% 2.15/2.30 (^[VarCurr: $i] : 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)))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(6,plain,
% 2.15/2.30 (![VarCurr: $i] : ((~v998(VarCurr)) <=> v999(VarCurr)) <=> ![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[5])).
% 2.15/2.30 tff(7,axiom,(![VarCurr: $i] : ((~v998(VarCurr)) <=> v999(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_111')).
% 2.15/2.30 tff(8,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[7, 6])).
% 2.15/2.30 tff(9,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[8, 4])).
% 2.15/2.30 tff(10,plain,(
% 2.15/2.30 ![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.15/2.30 inference(skolemize,[status(sab)],[9])).
% 2.15/2.30 tff(11,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[10, 3])).
% 2.15/2.30 tff(12,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (~(v998(VarCurr) <=> v999(VarCurr)))) | (~(v998(VarCurr!0) <=> v999(VarCurr!0)))),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(13,plain,
% 2.15/2.30 ($false),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[12, 11, 1])).
% 2.15/2.30 tff(14,plain,(~(v998(VarCurr!0) <=> v999(VarCurr!0))), inference(lemma,lemma(discharge,[]))).
% 2.15/2.30 tff(15,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl((~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr))) <=> (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(16,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr))) <=> ![VarCurr: $i] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[15])).
% 2.15/2.30 tff(17,plain,
% 2.15/2.30 (^[VarCurr: $i] : 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)))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(18,plain,
% 2.15/2.30 (![VarCurr: $i] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[17])).
% 2.15/2.30 tff(19,plain,
% 2.15/2.30 (![VarCurr: $i] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1)))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(20,axiom,(![VarCurr: $i] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_79')).
% 2.15/2.30 tff(21,plain,
% 2.15/2.30 (![VarCurr: $i] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[20, 19])).
% 2.15/2.30 tff(22,plain,(
% 2.15/2.30 ![VarCurr: $i] : (v999(VarCurr) <=> (v1000(VarCurr, bitIndex0) & v1000(VarCurr, bitIndex1)))),
% 2.15/2.30 inference(skolemize,[status(sab)],[21])).
% 2.15/2.30 tff(23,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[22, 18])).
% 2.15/2.30 tff(24,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[23, 16])).
% 2.15/2.30 tff(25,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (~(((~v1000(VarCurr, bitIndex0)) | (~v1000(VarCurr, bitIndex1))) <=> v999(VarCurr)))) | (~(((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))) <=> v999(VarCurr!0)))),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(26,plain,
% 2.15/2.30 (~(((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))) <=> v999(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[25, 24])).
% 2.15/2.30 tff(27,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl((v1000(VarCurr, bitIndex0) <=> v1001(VarCurr)) <=> (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr)))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(28,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr)) <=> ![VarCurr: $i] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[27])).
% 2.15/2.30 tff(29,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr)) <=> ![VarCurr: $i] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(30,axiom,(![VarCurr: $i] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_245')).
% 2.15/2.30 tff(31,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[30, 29])).
% 2.15/2.30 tff(32,plain,(
% 2.15/2.30 ![VarCurr: $i] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.15/2.30 inference(skolemize,[status(sab)],[31])).
% 2.15/2.30 tff(33,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[32, 28])).
% 2.15/2.30 tff(34,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (v1000(VarCurr, bitIndex0) <=> v1001(VarCurr))) | (v1000(VarCurr!0, bitIndex0) <=> v1001(VarCurr!0))),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(35,plain,
% 2.15/2.30 (v1000(VarCurr!0, bitIndex0) <=> v1001(VarCurr!0)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[34, 33])).
% 2.15/2.30 tff(36,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl((~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr))) <=> (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(37,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr))) <=> ![VarCurr: $i] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[36])).
% 2.15/2.30 tff(38,plain,
% 2.15/2.30 (^[VarCurr: $i] : 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)))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(39,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5))) <=> ![VarCurr: $i] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[38])).
% 2.15/2.30 tff(40,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5))) <=> ![VarCurr: $i] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5)))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(41,axiom,(![VarCurr: $i] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78')).
% 2.15/2.30 tff(42,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[41, 40])).
% 2.15/2.30 tff(43,plain,(
% 2.15/2.30 ![VarCurr: $i] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, bitIndex5)))),
% 2.15/2.30 inference(skolemize,[status(sab)],[42])).
% 2.15/2.30 tff(44,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[43, 39])).
% 2.15/2.30 tff(45,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[44, 37])).
% 2.15/2.30 tff(46,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (~(((~v1003(VarCurr)) | (~v1007(VarCurr, bitIndex5))) <=> v1001(VarCurr)))) | (~(((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) <=> v1001(VarCurr!0)))),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(47,plain,
% 2.15/2.30 (~(((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) <=> v1001(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[46, 45])).
% 2.15/2.30 tff(48,assumption,(v1007(VarCurr!0, bitIndex5)), introduced(assumption)).
% 2.15/2.30 tff(49,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl((~v1007(VarCurr, bitIndex5)) <=> (~v1007(VarCurr, bitIndex5)))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(50,plain,
% 2.15/2.30 (![VarCurr: $i] : (~v1007(VarCurr, bitIndex5)) <=> ![VarCurr: $i] : (~v1007(VarCurr, bitIndex5))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[49])).
% 2.15/2.30 tff(51,plain,
% 2.15/2.30 (![VarCurr: $i] : (~v1007(VarCurr, bitIndex5)) <=> ![VarCurr: $i] : (~v1007(VarCurr, bitIndex5))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(52,axiom,(![VarCurr: $i] : (~v1007(VarCurr, bitIndex5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addZeroExtensionConstraint_3')).
% 2.15/2.30 tff(53,plain,
% 2.15/2.30 (![VarCurr: $i] : (~v1007(VarCurr, bitIndex5))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[52, 51])).
% 2.15/2.30 tff(54,plain,(
% 2.15/2.30 ![VarCurr: $i] : (~v1007(VarCurr, bitIndex5))),
% 2.15/2.30 inference(skolemize,[status(sab)],[53])).
% 2.15/2.30 tff(55,plain,
% 2.15/2.30 (![VarCurr: $i] : (~v1007(VarCurr, bitIndex5))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[54, 50])).
% 2.15/2.30 tff(56,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (~v1007(VarCurr, bitIndex5))) | (~v1007(VarCurr!0, bitIndex5))),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(57,plain,
% 2.15/2.30 ($false),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[56, 55, 48])).
% 2.15/2.30 tff(58,plain,(~v1007(VarCurr!0, bitIndex5)), inference(lemma,lemma(discharge,[]))).
% 2.15/2.30 tff(59,plain,
% 2.15/2.30 (((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) | v1007(VarCurr!0, bitIndex5)),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(60,plain,
% 2.15/2.30 ((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[59, 58])).
% 2.15/2.30 tff(61,plain,
% 2.15/2.30 ((((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) <=> v1001(VarCurr!0)) | (~((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5)))) | (~v1001(VarCurr!0))),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(62,plain,
% 2.15/2.30 ((((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, bitIndex5))) <=> v1001(VarCurr!0)) | (~v1001(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[61, 60])).
% 2.15/2.30 tff(63,plain,
% 2.15/2.30 (~v1001(VarCurr!0)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[62, 47])).
% 2.15/2.30 tff(64,plain,
% 2.15/2.30 ((~(v1000(VarCurr!0, bitIndex0) <=> v1001(VarCurr!0))) | (~v1000(VarCurr!0, bitIndex0)) | v1001(VarCurr!0)),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(65,plain,
% 2.15/2.30 ((~(v1000(VarCurr!0, bitIndex0) <=> v1001(VarCurr!0))) | (~v1000(VarCurr!0, bitIndex0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[64, 63])).
% 2.15/2.30 tff(66,plain,
% 2.15/2.30 (~v1000(VarCurr!0, bitIndex0)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[65, 35])).
% 2.15/2.30 tff(67,plain,
% 2.15/2.30 (((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))) | v1000(VarCurr!0, bitIndex0)),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(68,plain,
% 2.15/2.30 ((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[67, 66])).
% 2.15/2.30 tff(69,plain,
% 2.15/2.30 ((((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))) <=> v999(VarCurr!0)) | (~((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1)))) | (~v999(VarCurr!0))),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(70,plain,
% 2.15/2.30 ((((~v1000(VarCurr!0, bitIndex0)) | (~v1000(VarCurr!0, bitIndex1))) <=> v999(VarCurr!0)) | (~v999(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[69, 68])).
% 2.15/2.30 tff(71,plain,
% 2.15/2.30 (~v999(VarCurr!0)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[70, 26])).
% 2.15/2.30 tff(72,assumption,(~v1000(VarCurr!0, bitIndex1)), introduced(assumption)).
% 2.15/2.30 tff(73,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl(v1000(VarCurr, bitIndex1) <=> v1000(VarCurr, bitIndex1))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(74,plain,
% 2.15/2.30 (![VarCurr: $i] : v1000(VarCurr, bitIndex1) <=> ![VarCurr: $i] : v1000(VarCurr, bitIndex1)),
% 2.15/2.30 inference(quant_intro,[status(thm)],[73])).
% 2.15/2.30 tff(75,plain,
% 2.15/2.30 (![VarCurr: $i] : v1000(VarCurr, bitIndex1) <=> ![VarCurr: $i] : v1000(VarCurr, bitIndex1)),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(76,plain,
% 2.15/2.30 (^[VarCurr: $i] : rewrite((v1000(VarCurr, bitIndex1) <=> $true) <=> v1000(VarCurr, bitIndex1))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(77,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1000(VarCurr, bitIndex1) <=> $true) <=> ![VarCurr: $i] : v1000(VarCurr, bitIndex1)),
% 2.15/2.30 inference(quant_intro,[status(thm)],[76])).
% 2.15/2.30 tff(78,axiom,(![VarCurr: $i] : (v1000(VarCurr, bitIndex1) <=> $true)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_244')).
% 2.15/2.30 tff(79,plain,
% 2.15/2.30 (![VarCurr: $i] : v1000(VarCurr, bitIndex1)),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[78, 77])).
% 2.15/2.30 tff(80,plain,
% 2.15/2.30 (![VarCurr: $i] : v1000(VarCurr, bitIndex1)),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[79, 75])).
% 2.15/2.30 tff(81,plain,(
% 2.15/2.30 ![VarCurr: $i] : v1000(VarCurr, bitIndex1)),
% 2.15/2.30 inference(skolemize,[status(sab)],[80])).
% 2.15/2.30 tff(82,plain,
% 2.15/2.30 (![VarCurr: $i] : v1000(VarCurr, bitIndex1)),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[81, 74])).
% 2.15/2.30 tff(83,plain,
% 2.15/2.30 ((~![VarCurr: $i] : v1000(VarCurr, bitIndex1)) | v1000(VarCurr!0, bitIndex1)),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(84,plain,
% 2.15/2.30 ($false),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[83, 82, 72])).
% 2.15/2.30 tff(85,plain,(v1000(VarCurr!0, bitIndex1)), inference(lemma,lemma(discharge,[]))).
% 2.15/2.30 tff(86,plain,
% 2.15/2.30 ((v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)) | (~v1000(VarCurr!0, bitIndex1))),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(87,plain,
% 2.15/2.30 (v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[86, 85])).
% 2.15/2.30 tff(88,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl((v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1))) <=> (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(89,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[88])).
% 2.15/2.30 tff(90,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1))) <=> ![VarCurr: $i] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(91,axiom,(![VarCurr: $i] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_80')).
% 2.15/2.30 tff(92,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[91, 90])).
% 2.15/2.30 tff(93,plain,(
% 2.15/2.30 ![VarCurr: $i] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.15/2.30 inference(skolemize,[status(sab)],[92])).
% 2.15/2.30 tff(94,plain,
% 2.15/2.30 (![VarCurr: $i] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[93, 89])).
% 2.15/2.30 tff(95,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (v1010(VarCurr) <=> (v1000(VarCurr, bitIndex0) | v1000(VarCurr, bitIndex1)))) | (v1010(VarCurr!0) <=> (v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)))),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(96,plain,
% 2.15/2.30 (v1010(VarCurr!0) <=> (v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[95, 94])).
% 2.15/2.30 tff(97,plain,
% 2.15/2.30 ((~(v1010(VarCurr!0) <=> (v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)))) | v1010(VarCurr!0) | (~(v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)))),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(98,plain,
% 2.15/2.30 (v1010(VarCurr!0) | (~(v1000(VarCurr!0, bitIndex0) | v1000(VarCurr!0, bitIndex1)))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[97, 96])).
% 2.15/2.30 tff(99,plain,
% 2.15/2.30 (v1010(VarCurr!0)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[98, 87])).
% 2.15/2.30 tff(100,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl((~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr))) <=> (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(101,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr))) <=> ![VarCurr: $i] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[100])).
% 2.15/2.30 tff(102,plain,
% 2.15/2.30 (^[VarCurr: $i] : 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)))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(103,plain,
% 2.15/2.30 (![VarCurr: $i] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> ![VarCurr: $i] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[102])).
% 2.15/2.30 tff(104,plain,
% 2.15/2.30 (![VarCurr: $i] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> ![VarCurr: $i] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(105,axiom,(![VarCurr: $i] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_170')).
% 2.15/2.30 tff(106,plain,
% 2.15/2.30 (![VarCurr: $i] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[105, 104])).
% 2.15/2.30 tff(107,plain,(
% 2.15/2.30 ![VarCurr: $i] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))),
% 2.15/2.30 inference(skolemize,[status(sab)],[106])).
% 2.15/2.30 tff(108,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[107, 103])).
% 2.15/2.30 tff(109,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[108, 101])).
% 2.15/2.30 tff(110,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (~(((~v998(VarCurr)) | (~v1010(VarCurr))) <=> v996(VarCurr)))) | (~(((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) <=> v996(VarCurr!0)))),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(111,plain,
% 2.15/2.30 (~(((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) <=> v996(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[110, 109])).
% 2.15/2.30 tff(112,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl((~(v995(VarCurr) <=> v996(VarCurr))) <=> (~(v995(VarCurr) <=> v996(VarCurr))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(113,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr))) <=> ![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[112])).
% 2.15/2.30 tff(114,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr))) <=> ![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(115,plain,
% 2.15/2.30 (^[VarCurr: $i] : 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)))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(116,plain,
% 2.15/2.30 (![VarCurr: $i] : ((~v995(VarCurr)) <=> v996(VarCurr)) <=> ![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[115])).
% 2.15/2.30 tff(117,axiom,(![VarCurr: $i] : ((~v995(VarCurr)) <=> v996(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_112')).
% 2.15/2.30 tff(118,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[117, 116])).
% 2.15/2.30 tff(119,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[118, 114])).
% 2.15/2.30 tff(120,plain,(
% 2.15/2.30 ![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.15/2.30 inference(skolemize,[status(sab)],[119])).
% 2.15/2.30 tff(121,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[120, 113])).
% 2.15/2.30 tff(122,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (~(v995(VarCurr) <=> v996(VarCurr)))) | (~(v995(VarCurr!0) <=> v996(VarCurr!0)))),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(123,plain,
% 2.15/2.30 (~(v995(VarCurr!0) <=> v996(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[122, 121])).
% 2.15/2.30 tff(124,plain,
% 2.15/2.30 (^[VarCurr: $i] : refl((~(v4(VarCurr) <=> v995(VarCurr))) <=> (~(v4(VarCurr) <=> v995(VarCurr))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(125,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr))) <=> ![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[124])).
% 2.15/2.30 tff(126,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr))) <=> ![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(127,plain,
% 2.15/2.30 (^[VarCurr: $i] : 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)))))),
% 2.15/2.30 inference(bind,[status(th)],[])).
% 2.15/2.30 tff(128,plain,
% 2.15/2.30 (![VarCurr: $i] : ((~v4(VarCurr)) <=> v995(VarCurr)) <=> ![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.15/2.30 inference(quant_intro,[status(thm)],[127])).
% 2.15/2.30 tff(129,axiom,(![VarCurr: $i] : ((~v4(VarCurr)) <=> v995(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_113')).
% 2.15/2.30 tff(130,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[129, 128])).
% 2.15/2.30 tff(131,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[130, 126])).
% 2.15/2.30 tff(132,plain,(
% 2.15/2.30 ![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.15/2.30 inference(skolemize,[status(sab)],[131])).
% 2.15/2.30 tff(133,plain,
% 2.15/2.30 (![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[132, 125])).
% 2.15/2.30 tff(134,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (~(v4(VarCurr) <=> v995(VarCurr)))) | (~(v4(VarCurr!0) <=> v995(VarCurr!0)))),
% 2.15/2.30 inference(quant_inst,[status(thm)],[])).
% 2.15/2.30 tff(135,plain,
% 2.15/2.30 (~(v4(VarCurr!0) <=> v995(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[134, 133])).
% 2.15/2.30 tff(136,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (v4(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: $i] : (v4(VarCurr) | (~reachableState(VarCurr))))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(137,plain,
% 2.15/2.30 ((~![VarCurr: $i] : (reachableState(VarCurr) => v4(VarCurr))) <=> (~![VarCurr: $i] : (v4(VarCurr) | (~reachableState(VarCurr))))),
% 2.15/2.30 inference(rewrite,[status(thm)],[])).
% 2.15/2.30 tff(138,axiom,(~![VarCurr: $i] : (reachableState(VarCurr) => v4(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion')).
% 2.15/2.30 tff(139,plain,
% 2.15/2.30 (~![VarCurr: $i] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[138, 137])).
% 2.15/2.30 tff(140,plain,
% 2.15/2.30 (~![VarCurr: $i] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[139, 136])).
% 2.15/2.30 tff(141,plain,
% 2.15/2.30 (~![VarCurr: $i] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[140, 136])).
% 2.15/2.30 tff(142,plain,
% 2.15/2.30 (~![VarCurr: $i] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 2.15/2.30 inference(modus_ponens,[status(thm)],[141, 136])).
% 2.15/2.30 tff(143,plain,(
% 2.15/2.30 ~(v4(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 2.15/2.30 inference(skolemize,[status(sab)],[142])).
% 2.15/2.30 tff(144,plain,
% 2.15/2.30 (~v4(VarCurr!0)),
% 2.15/2.30 inference(or_elim,[status(thm)],[143])).
% 2.15/2.30 tff(145,plain,
% 2.15/2.30 ((v4(VarCurr!0) <=> v995(VarCurr!0)) | v4(VarCurr!0) | v995(VarCurr!0)),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(146,plain,
% 2.15/2.30 ((v4(VarCurr!0) <=> v995(VarCurr!0)) | v995(VarCurr!0)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[145, 144])).
% 2.15/2.30 tff(147,plain,
% 2.15/2.30 (v995(VarCurr!0)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[146, 135])).
% 2.15/2.30 tff(148,plain,
% 2.15/2.30 ((v995(VarCurr!0) <=> v996(VarCurr!0)) | (~v995(VarCurr!0)) | (~v996(VarCurr!0))),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(149,plain,
% 2.15/2.30 ((v995(VarCurr!0) <=> v996(VarCurr!0)) | (~v996(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[148, 147])).
% 2.15/2.30 tff(150,plain,
% 2.15/2.30 (~v996(VarCurr!0)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[149, 123])).
% 2.15/2.30 tff(151,plain,
% 2.15/2.30 ((((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) <=> v996(VarCurr!0)) | ((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) | v996(VarCurr!0)),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(152,plain,
% 2.15/2.30 ((((~v998(VarCurr!0)) | (~v1010(VarCurr!0))) <=> v996(VarCurr!0)) | ((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[151, 150])).
% 2.15/2.30 tff(153,plain,
% 2.15/2.30 ((~v998(VarCurr!0)) | (~v1010(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[152, 111])).
% 2.15/2.30 tff(154,plain,
% 2.15/2.30 ((~((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))) | (~v998(VarCurr!0)) | (~v1010(VarCurr!0))),
% 2.15/2.30 inference(tautology,[status(thm)],[])).
% 2.15/2.30 tff(155,plain,
% 2.15/2.30 ((~v998(VarCurr!0)) | (~v1010(VarCurr!0))),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[154, 153])).
% 2.15/2.30 tff(156,plain,
% 2.15/2.30 (~v998(VarCurr!0)),
% 2.15/2.30 inference(unit_resolution,[status(thm)],[155, 99])).
% 2.15/2.30 tff(157,plain,
% 2.15/2.30 ((v998(VarCurr!0) <=> v999(VarCurr!0)) | v998(VarCurr!0) | v999(VarCurr!0)),
% 2.15/2.34 inference(tautology,[status(thm)],[])).
% 2.15/2.34 tff(158,plain,
% 2.15/2.34 (v998(VarCurr!0) <=> v999(VarCurr!0)),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[157, 156, 71])).
% 2.15/2.34 tff(159,plain,
% 2.15/2.34 ($false),
% 2.15/2.34 inference(unit_resolution,[status(thm)],[158, 14])).
% 2.15/2.34 % SZS output end Proof
% 2.15/2.34 % E exiting
%------------------------------------------------------------------------------