TSTP Solution File: HWV089_2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV089_2 : TPTP v8.1.0. Released v6.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Sep 17 02:16:09 EDT 2022
% Result : Theorem 16.25s 10.93s
% Output : Proof 16.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : HWV089_2 : TPTP v8.1.0. Released v6.1.0.
% 0.05/0.11 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.11/0.31 % Computer : n001.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Thu Sep 1 00:32:50 EDT 2022
% 0.11/0.31 % CPUTime :
% 0.11/0.32 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.11/0.32 Usage: tptp [options] [-file:]file
% 0.11/0.32 -h, -? prints this message.
% 0.11/0.32 -smt2 print SMT-LIB2 benchmark.
% 0.11/0.32 -m, -model generate model.
% 0.11/0.32 -p, -proof generate proof.
% 0.11/0.32 -c, -core generate unsat core of named formulas.
% 0.11/0.32 -st, -statistics display statistics.
% 0.11/0.32 -t:timeout set timeout (in second).
% 0.11/0.32 -smt2status display status in smt2 format instead of SZS.
% 0.11/0.32 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.11/0.32 -<param>:<value> configuration parameter and value.
% 0.11/0.32 -o:<output-file> file to place output in.
% 16.25/10.93 % SZS status Theorem
% 16.25/10.93 % SZS output start Proof
% 16.25/10.93 tff(v3684_type, type, (
% 16.25/10.93 v3684: ( state_type * $int ) > $o)).
% 16.25/10.93 tff(tptp_fun_VarCurr_0_type, type, (
% 16.25/10.93 tptp_fun_VarCurr_0: state_type)).
% 16.25/10.93 tff(v3682_type, type, (
% 16.25/10.93 v3682: state_type > $o)).
% 16.25/10.93 tff(v3680_type, type, (
% 16.25/10.93 v3680: state_type > $o)).
% 16.25/10.93 tff(v3679_type, type, (
% 16.25/10.93 v3679: ( state_type * $int ) > $o)).
% 16.25/10.93 tff(v3678_type, type, (
% 16.25/10.93 v3678: state_type > $o)).
% 16.25/10.93 tff(v3677_type, type, (
% 16.25/10.93 v3677: state_type > $o)).
% 16.25/10.93 tff(v3693_type, type, (
% 16.25/10.93 v3693: state_type > $o)).
% 16.25/10.93 tff(v3675_type, type, (
% 16.25/10.93 v3675: state_type > $o)).
% 16.25/10.93 tff(v3674_type, type, (
% 16.25/10.93 v3674: state_type > $o)).
% 16.25/10.93 tff(v4_type, type, (
% 16.25/10.93 v4: state_type > $o)).
% 16.25/10.93 tff(reachableState_type, type, (
% 16.25/10.93 reachableState: state_type > $o)).
% 16.25/10.93 tff(1,plain,
% 16.25/10.93 (^[VarCurr: state_type] : refl((v3680(VarCurr) <=> (~((~v3682(VarCurr)) | (~v3684(VarCurr, 5))))) <=> (v3680(VarCurr) <=> (~((~v3682(VarCurr)) | (~v3684(VarCurr, 5))))))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(2,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3680(VarCurr) <=> (~((~v3682(VarCurr)) | (~v3684(VarCurr, 5))))) <=> ![VarCurr: state_type] : (v3680(VarCurr) <=> (~((~v3682(VarCurr)) | (~v3684(VarCurr, 5)))))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[1])).
% 16.25/10.93 tff(3,plain,
% 16.25/10.93 (^[VarCurr: state_type] : rewrite((v3680(VarCurr) <=> (v3682(VarCurr) & v3684(VarCurr, 5))) <=> (v3680(VarCurr) <=> (~((~v3682(VarCurr)) | (~v3684(VarCurr, 5))))))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(4,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3680(VarCurr) <=> (v3682(VarCurr) & v3684(VarCurr, 5))) <=> ![VarCurr: state_type] : (v3680(VarCurr) <=> (~((~v3682(VarCurr)) | (~v3684(VarCurr, 5)))))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[3])).
% 16.25/10.93 tff(5,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3680(VarCurr) <=> (v3682(VarCurr) & v3684(VarCurr, 5))) <=> ![VarCurr: state_type] : (v3680(VarCurr) <=> (v3682(VarCurr) & v3684(VarCurr, 5)))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(6,axiom,(![VarCurr: state_type] : (v3680(VarCurr) <=> (v3682(VarCurr) & v3684(VarCurr, 5)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_553')).
% 16.25/10.93 tff(7,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3680(VarCurr) <=> (v3682(VarCurr) & v3684(VarCurr, 5)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[6, 5])).
% 16.25/10.93 tff(8,plain,(
% 16.25/10.93 ![VarCurr: state_type] : (v3680(VarCurr) <=> (v3682(VarCurr) & v3684(VarCurr, 5)))),
% 16.25/10.93 inference(skolemize,[status(sab)],[7])).
% 16.25/10.93 tff(9,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3680(VarCurr) <=> (~((~v3682(VarCurr)) | (~v3684(VarCurr, 5)))))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[8, 4])).
% 16.25/10.93 tff(10,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3680(VarCurr) <=> (~((~v3682(VarCurr)) | (~v3684(VarCurr, 5)))))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[9, 2])).
% 16.25/10.93 tff(11,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : (v3680(VarCurr) <=> (~((~v3682(VarCurr)) | (~v3684(VarCurr, 5)))))) | (v3680(VarCurr!0) <=> (~((~v3682(VarCurr!0)) | (~v3684(VarCurr!0, 5)))))),
% 16.25/10.93 inference(quant_inst,[status(thm)],[])).
% 16.25/10.93 tff(12,plain,
% 16.25/10.93 (v3680(VarCurr!0) <=> (~((~v3682(VarCurr!0)) | (~v3684(VarCurr!0, 5))))),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[11, 10])).
% 16.25/10.93 tff(13,plain,
% 16.25/10.93 (^[VarCurr: state_type] : refl((v3679(VarCurr, 0) <=> v3680(VarCurr)) <=> (v3679(VarCurr, 0) <=> v3680(VarCurr)))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(14,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3679(VarCurr, 0) <=> v3680(VarCurr)) <=> ![VarCurr: state_type] : (v3679(VarCurr, 0) <=> v3680(VarCurr))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[13])).
% 16.25/10.93 tff(15,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3679(VarCurr, 0) <=> v3680(VarCurr)) <=> ![VarCurr: state_type] : (v3679(VarCurr, 0) <=> v3680(VarCurr))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(16,axiom,(![VarCurr: state_type] : (v3679(VarCurr, 0) <=> v3680(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_2619')).
% 16.25/10.93 tff(17,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3679(VarCurr, 0) <=> v3680(VarCurr))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[16, 15])).
% 16.25/10.93 tff(18,plain,(
% 16.25/10.93 ![VarCurr: state_type] : (v3679(VarCurr, 0) <=> v3680(VarCurr))),
% 16.25/10.93 inference(skolemize,[status(sab)],[17])).
% 16.25/10.93 tff(19,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3679(VarCurr, 0) <=> v3680(VarCurr))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[18, 14])).
% 16.25/10.93 tff(20,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : (v3679(VarCurr, 0) <=> v3680(VarCurr))) | (v3679(VarCurr!0, 0) <=> v3680(VarCurr!0))),
% 16.25/10.93 inference(quant_inst,[status(thm)],[])).
% 16.25/10.93 tff(21,plain,
% 16.25/10.93 (v3679(VarCurr!0, 0) <=> v3680(VarCurr!0)),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[20, 19])).
% 16.25/10.93 tff(22,plain,
% 16.25/10.93 (^[VarCurr: state_type] : refl((v3678(VarCurr) <=> (~((~v3679(VarCurr, 0)) | (~v3679(VarCurr, 1))))) <=> (v3678(VarCurr) <=> (~((~v3679(VarCurr, 0)) | (~v3679(VarCurr, 1))))))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(23,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3678(VarCurr) <=> (~((~v3679(VarCurr, 0)) | (~v3679(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v3678(VarCurr) <=> (~((~v3679(VarCurr, 0)) | (~v3679(VarCurr, 1)))))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[22])).
% 16.25/10.93 tff(24,plain,
% 16.25/10.93 (^[VarCurr: state_type] : rewrite((v3678(VarCurr) <=> (v3679(VarCurr, 0) & v3679(VarCurr, 1))) <=> (v3678(VarCurr) <=> (~((~v3679(VarCurr, 0)) | (~v3679(VarCurr, 1))))))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(25,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3678(VarCurr) <=> (v3679(VarCurr, 0) & v3679(VarCurr, 1))) <=> ![VarCurr: state_type] : (v3678(VarCurr) <=> (~((~v3679(VarCurr, 0)) | (~v3679(VarCurr, 1)))))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[24])).
% 16.25/10.93 tff(26,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3678(VarCurr) <=> (v3679(VarCurr, 0) & v3679(VarCurr, 1))) <=> ![VarCurr: state_type] : (v3678(VarCurr) <=> (v3679(VarCurr, 0) & v3679(VarCurr, 1)))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(27,axiom,(![VarCurr: state_type] : (v3678(VarCurr) <=> (v3679(VarCurr, 0) & v3679(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_554')).
% 16.25/10.93 tff(28,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3678(VarCurr) <=> (v3679(VarCurr, 0) & v3679(VarCurr, 1)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[27, 26])).
% 16.25/10.93 tff(29,plain,(
% 16.25/10.93 ![VarCurr: state_type] : (v3678(VarCurr) <=> (v3679(VarCurr, 0) & v3679(VarCurr, 1)))),
% 16.25/10.93 inference(skolemize,[status(sab)],[28])).
% 16.25/10.93 tff(30,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3678(VarCurr) <=> (~((~v3679(VarCurr, 0)) | (~v3679(VarCurr, 1)))))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[29, 25])).
% 16.25/10.93 tff(31,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3678(VarCurr) <=> (~((~v3679(VarCurr, 0)) | (~v3679(VarCurr, 1)))))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[30, 23])).
% 16.25/10.93 tff(32,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : (v3678(VarCurr) <=> (~((~v3679(VarCurr, 0)) | (~v3679(VarCurr, 1)))))) | (v3678(VarCurr!0) <=> (~((~v3679(VarCurr!0, 0)) | (~v3679(VarCurr!0, 1)))))),
% 16.25/10.93 inference(quant_inst,[status(thm)],[])).
% 16.25/10.93 tff(33,plain,
% 16.25/10.93 (v3678(VarCurr!0) <=> (~((~v3679(VarCurr!0, 0)) | (~v3679(VarCurr!0, 1))))),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[32, 31])).
% 16.25/10.93 tff(34,plain,
% 16.25/10.93 (^[VarCurr: state_type] : refl(((~v3677(VarCurr)) <=> v3678(VarCurr)) <=> ((~v3677(VarCurr)) <=> v3678(VarCurr)))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(35,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v3677(VarCurr)) <=> v3678(VarCurr)) <=> ![VarCurr: state_type] : ((~v3677(VarCurr)) <=> v3678(VarCurr))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[34])).
% 16.25/10.93 tff(36,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v3677(VarCurr)) <=> v3678(VarCurr)) <=> ![VarCurr: state_type] : ((~v3677(VarCurr)) <=> v3678(VarCurr))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(37,axiom,(![VarCurr: state_type] : ((~v3677(VarCurr)) <=> v3678(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_345')).
% 16.25/10.93 tff(38,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v3677(VarCurr)) <=> v3678(VarCurr))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[37, 36])).
% 16.25/10.93 tff(39,plain,(
% 16.25/10.93 ![VarCurr: state_type] : ((~v3677(VarCurr)) <=> v3678(VarCurr))),
% 16.25/10.93 inference(skolemize,[status(sab)],[38])).
% 16.25/10.93 tff(40,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v3677(VarCurr)) <=> v3678(VarCurr))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[39, 35])).
% 16.25/10.93 tff(41,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : ((~v3677(VarCurr)) <=> v3678(VarCurr))) | ((~v3677(VarCurr!0)) <=> v3678(VarCurr!0))),
% 16.25/10.93 inference(quant_inst,[status(thm)],[])).
% 16.25/10.93 tff(42,plain,
% 16.25/10.93 ((~v3677(VarCurr!0)) <=> v3678(VarCurr!0)),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[41, 40])).
% 16.25/10.93 tff(43,plain,
% 16.25/10.93 (^[VarCurr: state_type] : refl((v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1))) <=> (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1))))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(44,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1))) <=> ![VarCurr: state_type] : (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1)))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[43])).
% 16.25/10.93 tff(45,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1))) <=> ![VarCurr: state_type] : (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1)))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(46,axiom,(![VarCurr: state_type] : (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_555')).
% 16.25/10.93 tff(47,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[46, 45])).
% 16.25/10.93 tff(48,plain,(
% 16.25/10.93 ![VarCurr: state_type] : (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1)))),
% 16.25/10.93 inference(skolemize,[status(sab)],[47])).
% 16.25/10.93 tff(49,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[48, 44])).
% 16.25/10.93 tff(50,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : (v3693(VarCurr) <=> (v3679(VarCurr, 0) | v3679(VarCurr, 1)))) | (v3693(VarCurr!0) <=> (v3679(VarCurr!0, 0) | v3679(VarCurr!0, 1)))),
% 16.25/10.93 inference(quant_inst,[status(thm)],[])).
% 16.25/10.93 tff(51,plain,
% 16.25/10.93 (v3693(VarCurr!0) <=> (v3679(VarCurr!0, 0) | v3679(VarCurr!0, 1))),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[50, 49])).
% 16.25/10.93 tff(52,assumption,(~v3679(VarCurr!0, 1)), introduced(assumption)).
% 16.25/10.93 tff(53,plain,
% 16.25/10.93 (^[VarCurr: state_type] : refl(v3679(VarCurr, 1) <=> v3679(VarCurr, 1))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(54,plain,
% 16.25/10.93 (![VarCurr: state_type] : v3679(VarCurr, 1) <=> ![VarCurr: state_type] : v3679(VarCurr, 1)),
% 16.25/10.93 inference(quant_intro,[status(thm)],[53])).
% 16.25/10.93 tff(55,plain,
% 16.25/10.93 (![VarCurr: state_type] : v3679(VarCurr, 1) <=> ![VarCurr: state_type] : v3679(VarCurr, 1)),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(56,plain,
% 16.25/10.93 (^[VarCurr: state_type] : rewrite((v3679(VarCurr, 1) <=> $true) <=> v3679(VarCurr, 1))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(57,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3679(VarCurr, 1) <=> $true) <=> ![VarCurr: state_type] : v3679(VarCurr, 1)),
% 16.25/10.93 inference(quant_intro,[status(thm)],[56])).
% 16.25/10.93 tff(58,axiom,(![VarCurr: state_type] : (v3679(VarCurr, 1) <=> $true)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssignment_2618')).
% 16.25/10.93 tff(59,plain,
% 16.25/10.93 (![VarCurr: state_type] : v3679(VarCurr, 1)),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[58, 57])).
% 16.25/10.93 tff(60,plain,
% 16.25/10.93 (![VarCurr: state_type] : v3679(VarCurr, 1)),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[59, 55])).
% 16.25/10.93 tff(61,plain,(
% 16.25/10.93 ![VarCurr: state_type] : v3679(VarCurr, 1)),
% 16.25/10.93 inference(skolemize,[status(sab)],[60])).
% 16.25/10.93 tff(62,plain,
% 16.25/10.93 (![VarCurr: state_type] : v3679(VarCurr, 1)),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[61, 54])).
% 16.25/10.93 tff(63,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : v3679(VarCurr, 1)) | v3679(VarCurr!0, 1)),
% 16.25/10.93 inference(quant_inst,[status(thm)],[])).
% 16.25/10.93 tff(64,plain,
% 16.25/10.93 ($false),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[63, 62, 52])).
% 16.25/10.93 tff(65,plain,(v3679(VarCurr!0, 1)), inference(lemma,lemma(discharge,[]))).
% 16.25/10.93 tff(66,plain,
% 16.25/10.93 ((v3679(VarCurr!0, 0) | v3679(VarCurr!0, 1)) | (~v3679(VarCurr!0, 1))),
% 16.25/10.93 inference(tautology,[status(thm)],[])).
% 16.25/10.93 tff(67,plain,
% 16.25/10.93 (v3679(VarCurr!0, 0) | v3679(VarCurr!0, 1)),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[66, 65])).
% 16.25/10.93 tff(68,plain,
% 16.25/10.93 ((~(v3693(VarCurr!0) <=> (v3679(VarCurr!0, 0) | v3679(VarCurr!0, 1)))) | v3693(VarCurr!0) | (~(v3679(VarCurr!0, 0) | v3679(VarCurr!0, 1)))),
% 16.25/10.93 inference(tautology,[status(thm)],[])).
% 16.25/10.93 tff(69,plain,
% 16.25/10.93 ((~(v3693(VarCurr!0) <=> (v3679(VarCurr!0, 0) | v3679(VarCurr!0, 1)))) | v3693(VarCurr!0)),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[68, 67])).
% 16.25/10.93 tff(70,plain,
% 16.25/10.93 (v3693(VarCurr!0)),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[69, 51])).
% 16.25/10.93 tff(71,plain,
% 16.25/10.93 (^[VarCurr: state_type] : refl((v3675(VarCurr) <=> (~((~v3677(VarCurr)) | (~v3693(VarCurr))))) <=> (v3675(VarCurr) <=> (~((~v3677(VarCurr)) | (~v3693(VarCurr))))))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(72,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3675(VarCurr) <=> (~((~v3677(VarCurr)) | (~v3693(VarCurr))))) <=> ![VarCurr: state_type] : (v3675(VarCurr) <=> (~((~v3677(VarCurr)) | (~v3693(VarCurr)))))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[71])).
% 16.25/10.93 tff(73,plain,
% 16.25/10.93 (^[VarCurr: state_type] : rewrite((v3675(VarCurr) <=> (v3677(VarCurr) & v3693(VarCurr))) <=> (v3675(VarCurr) <=> (~((~v3677(VarCurr)) | (~v3693(VarCurr))))))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(74,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3675(VarCurr) <=> (v3677(VarCurr) & v3693(VarCurr))) <=> ![VarCurr: state_type] : (v3675(VarCurr) <=> (~((~v3677(VarCurr)) | (~v3693(VarCurr)))))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[73])).
% 16.25/10.93 tff(75,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3675(VarCurr) <=> (v3677(VarCurr) & v3693(VarCurr))) <=> ![VarCurr: state_type] : (v3675(VarCurr) <=> (v3677(VarCurr) & v3693(VarCurr)))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(76,axiom,(![VarCurr: state_type] : (v3675(VarCurr) <=> (v3677(VarCurr) & v3693(VarCurr)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_740')).
% 16.25/10.93 tff(77,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3675(VarCurr) <=> (v3677(VarCurr) & v3693(VarCurr)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[76, 75])).
% 16.25/10.93 tff(78,plain,(
% 16.25/10.93 ![VarCurr: state_type] : (v3675(VarCurr) <=> (v3677(VarCurr) & v3693(VarCurr)))),
% 16.25/10.93 inference(skolemize,[status(sab)],[77])).
% 16.25/10.93 tff(79,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3675(VarCurr) <=> (~((~v3677(VarCurr)) | (~v3693(VarCurr)))))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[78, 74])).
% 16.25/10.93 tff(80,plain,
% 16.25/10.93 (![VarCurr: state_type] : (v3675(VarCurr) <=> (~((~v3677(VarCurr)) | (~v3693(VarCurr)))))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[79, 72])).
% 16.25/10.93 tff(81,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : (v3675(VarCurr) <=> (~((~v3677(VarCurr)) | (~v3693(VarCurr)))))) | (v3675(VarCurr!0) <=> (~((~v3677(VarCurr!0)) | (~v3693(VarCurr!0)))))),
% 16.25/10.93 inference(quant_inst,[status(thm)],[])).
% 16.25/10.93 tff(82,plain,
% 16.25/10.93 (v3675(VarCurr!0) <=> (~((~v3677(VarCurr!0)) | (~v3693(VarCurr!0))))),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[81, 80])).
% 16.25/10.93 tff(83,plain,
% 16.25/10.93 (^[VarCurr: state_type] : refl(((~v3674(VarCurr)) <=> v3675(VarCurr)) <=> ((~v3674(VarCurr)) <=> v3675(VarCurr)))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(84,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v3674(VarCurr)) <=> v3675(VarCurr)) <=> ![VarCurr: state_type] : ((~v3674(VarCurr)) <=> v3675(VarCurr))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[83])).
% 16.25/10.93 tff(85,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v3674(VarCurr)) <=> v3675(VarCurr)) <=> ![VarCurr: state_type] : ((~v3674(VarCurr)) <=> v3675(VarCurr))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(86,axiom,(![VarCurr: state_type] : ((~v3674(VarCurr)) <=> v3675(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_346')).
% 16.25/10.93 tff(87,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v3674(VarCurr)) <=> v3675(VarCurr))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[86, 85])).
% 16.25/10.93 tff(88,plain,(
% 16.25/10.93 ![VarCurr: state_type] : ((~v3674(VarCurr)) <=> v3675(VarCurr))),
% 16.25/10.93 inference(skolemize,[status(sab)],[87])).
% 16.25/10.93 tff(89,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v3674(VarCurr)) <=> v3675(VarCurr))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[88, 84])).
% 16.25/10.93 tff(90,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : ((~v3674(VarCurr)) <=> v3675(VarCurr))) | ((~v3674(VarCurr!0)) <=> v3675(VarCurr!0))),
% 16.25/10.93 inference(quant_inst,[status(thm)],[])).
% 16.25/10.93 tff(91,plain,
% 16.25/10.93 ((~v3674(VarCurr!0)) <=> v3675(VarCurr!0)),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[90, 89])).
% 16.25/10.93 tff(92,plain,
% 16.25/10.93 (^[VarCurr: state_type] : refl(((~v4(VarCurr)) <=> v3674(VarCurr)) <=> ((~v4(VarCurr)) <=> v3674(VarCurr)))),
% 16.25/10.93 inference(bind,[status(th)],[])).
% 16.25/10.93 tff(93,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v3674(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v3674(VarCurr))),
% 16.25/10.93 inference(quant_intro,[status(thm)],[92])).
% 16.25/10.93 tff(94,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v3674(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v3674(VarCurr))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(95,axiom,(![VarCurr: state_type] : ((~v4(VarCurr)) <=> v3674(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','writeUnaryOperator_347')).
% 16.25/10.93 tff(96,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v3674(VarCurr))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[95, 94])).
% 16.25/10.93 tff(97,plain,(
% 16.25/10.93 ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v3674(VarCurr))),
% 16.25/10.93 inference(skolemize,[status(sab)],[96])).
% 16.25/10.93 tff(98,plain,
% 16.25/10.93 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v3674(VarCurr))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[97, 93])).
% 16.25/10.93 tff(99,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v3674(VarCurr))) | ((~v4(VarCurr!0)) <=> v3674(VarCurr!0))),
% 16.25/10.93 inference(quant_inst,[status(thm)],[])).
% 16.25/10.93 tff(100,plain,
% 16.25/10.93 ((~v4(VarCurr!0)) <=> v3674(VarCurr!0)),
% 16.25/10.93 inference(unit_resolution,[status(thm)],[99, 98])).
% 16.25/10.93 tff(101,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr))))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(102,plain,
% 16.25/10.93 ((~![VarCurr: state_type] : (reachableState(VarCurr) => v4(VarCurr))) <=> (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr))))),
% 16.25/10.93 inference(rewrite,[status(thm)],[])).
% 16.25/10.93 tff(103,axiom,(~![VarCurr: state_type] : (reachableState(VarCurr) => v4(VarCurr))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addAssertion')).
% 16.25/10.93 tff(104,plain,
% 16.25/10.93 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[103, 102])).
% 16.25/10.93 tff(105,plain,
% 16.25/10.93 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[104, 101])).
% 16.25/10.93 tff(106,plain,
% 16.25/10.93 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[105, 101])).
% 16.25/10.93 tff(107,plain,
% 16.25/10.93 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[106, 101])).
% 16.25/10.93 tff(108,plain,
% 16.25/10.93 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[107, 101])).
% 16.25/10.93 tff(109,plain,
% 16.25/10.93 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[108, 101])).
% 16.25/10.93 tff(110,plain,
% 16.25/10.93 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 16.25/10.93 inference(modus_ponens,[status(thm)],[109, 101])).
% 16.25/10.94 tff(111,plain,(
% 16.25/10.94 ~(v4(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 16.25/10.94 inference(skolemize,[status(sab)],[110])).
% 16.25/10.94 tff(112,plain,
% 16.25/10.94 (~v4(VarCurr!0)),
% 16.25/10.94 inference(or_elim,[status(thm)],[111])).
% 16.25/10.94 tff(113,plain,
% 16.25/10.94 ((~((~v4(VarCurr!0)) <=> v3674(VarCurr!0))) | v4(VarCurr!0) | v3674(VarCurr!0)),
% 16.25/10.94 inference(tautology,[status(thm)],[])).
% 16.25/10.94 tff(114,plain,
% 16.25/10.94 ((~((~v4(VarCurr!0)) <=> v3674(VarCurr!0))) | v3674(VarCurr!0)),
% 16.25/10.94 inference(unit_resolution,[status(thm)],[113, 112])).
% 16.25/10.94 tff(115,plain,
% 16.25/10.94 (v3674(VarCurr!0)),
% 16.25/10.94 inference(unit_resolution,[status(thm)],[114, 100])).
% 16.25/10.94 tff(116,plain,
% 16.25/10.94 ((~((~v3674(VarCurr!0)) <=> v3675(VarCurr!0))) | (~v3674(VarCurr!0)) | (~v3675(VarCurr!0))),
% 16.25/10.94 inference(tautology,[status(thm)],[])).
% 16.25/10.94 tff(117,plain,
% 16.25/10.94 ((~((~v3674(VarCurr!0)) <=> v3675(VarCurr!0))) | (~v3675(VarCurr!0))),
% 16.25/10.94 inference(unit_resolution,[status(thm)],[116, 115])).
% 16.25/10.94 tff(118,plain,
% 16.25/10.94 (~v3675(VarCurr!0)),
% 16.25/10.94 inference(unit_resolution,[status(thm)],[117, 91])).
% 16.25/10.94 tff(119,plain,
% 16.25/10.94 ((~(v3675(VarCurr!0) <=> (~((~v3677(VarCurr!0)) | (~v3693(VarCurr!0)))))) | v3675(VarCurr!0) | ((~v3677(VarCurr!0)) | (~v3693(VarCurr!0)))),
% 16.35/10.94 inference(tautology,[status(thm)],[])).
% 16.35/10.94 tff(120,plain,
% 16.35/10.94 ((~(v3675(VarCurr!0) <=> (~((~v3677(VarCurr!0)) | (~v3693(VarCurr!0)))))) | ((~v3677(VarCurr!0)) | (~v3693(VarCurr!0)))),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[119, 118])).
% 16.35/10.94 tff(121,plain,
% 16.35/10.94 ((~v3677(VarCurr!0)) | (~v3693(VarCurr!0))),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[120, 82])).
% 16.35/10.94 tff(122,plain,
% 16.35/10.94 ((~((~v3677(VarCurr!0)) | (~v3693(VarCurr!0)))) | (~v3677(VarCurr!0)) | (~v3693(VarCurr!0))),
% 16.35/10.94 inference(tautology,[status(thm)],[])).
% 16.35/10.94 tff(123,plain,
% 16.35/10.94 ((~v3677(VarCurr!0)) | (~v3693(VarCurr!0))),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[122, 121])).
% 16.35/10.94 tff(124,plain,
% 16.35/10.94 (~v3677(VarCurr!0)),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[123, 70])).
% 16.35/10.94 tff(125,plain,
% 16.35/10.94 ((~((~v3677(VarCurr!0)) <=> v3678(VarCurr!0))) | v3677(VarCurr!0) | v3678(VarCurr!0)),
% 16.35/10.94 inference(tautology,[status(thm)],[])).
% 16.35/10.94 tff(126,plain,
% 16.35/10.94 ((~((~v3677(VarCurr!0)) <=> v3678(VarCurr!0))) | v3678(VarCurr!0)),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[125, 124])).
% 16.35/10.94 tff(127,plain,
% 16.35/10.94 (v3678(VarCurr!0)),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[126, 42])).
% 16.35/10.94 tff(128,plain,
% 16.35/10.94 ((~(v3678(VarCurr!0) <=> (~((~v3679(VarCurr!0, 0)) | (~v3679(VarCurr!0, 1)))))) | (~v3678(VarCurr!0)) | (~((~v3679(VarCurr!0, 0)) | (~v3679(VarCurr!0, 1))))),
% 16.35/10.94 inference(tautology,[status(thm)],[])).
% 16.35/10.94 tff(129,plain,
% 16.35/10.94 (~((~v3679(VarCurr!0, 0)) | (~v3679(VarCurr!0, 1)))),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[128, 127, 33])).
% 16.35/10.94 tff(130,plain,
% 16.35/10.94 (((~v3679(VarCurr!0, 0)) | (~v3679(VarCurr!0, 1))) | v3679(VarCurr!0, 0)),
% 16.35/10.94 inference(tautology,[status(thm)],[])).
% 16.35/10.94 tff(131,plain,
% 16.35/10.94 (v3679(VarCurr!0, 0)),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[130, 129])).
% 16.35/10.94 tff(132,plain,
% 16.35/10.94 ((~(v3679(VarCurr!0, 0) <=> v3680(VarCurr!0))) | (~v3679(VarCurr!0, 0)) | v3680(VarCurr!0)),
% 16.35/10.94 inference(tautology,[status(thm)],[])).
% 16.35/10.94 tff(133,plain,
% 16.35/10.94 ((~(v3679(VarCurr!0, 0) <=> v3680(VarCurr!0))) | v3680(VarCurr!0)),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[132, 131])).
% 16.35/10.94 tff(134,plain,
% 16.35/10.94 (v3680(VarCurr!0)),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[133, 21])).
% 16.35/10.94 tff(135,plain,
% 16.35/10.94 ((~(v3680(VarCurr!0) <=> (~((~v3682(VarCurr!0)) | (~v3684(VarCurr!0, 5)))))) | (~v3680(VarCurr!0)) | (~((~v3682(VarCurr!0)) | (~v3684(VarCurr!0, 5))))),
% 16.35/10.94 inference(tautology,[status(thm)],[])).
% 16.35/10.94 tff(136,plain,
% 16.35/10.94 ((~(v3680(VarCurr!0) <=> (~((~v3682(VarCurr!0)) | (~v3684(VarCurr!0, 5)))))) | (~((~v3682(VarCurr!0)) | (~v3684(VarCurr!0, 5))))),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[135, 134])).
% 16.35/10.94 tff(137,plain,
% 16.35/10.94 (~((~v3682(VarCurr!0)) | (~v3684(VarCurr!0, 5)))),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[136, 12])).
% 16.35/10.94 tff(138,plain,
% 16.35/10.94 (((~v3682(VarCurr!0)) | (~v3684(VarCurr!0, 5))) | v3684(VarCurr!0, 5)),
% 16.35/10.94 inference(tautology,[status(thm)],[])).
% 16.35/10.94 tff(139,plain,
% 16.35/10.94 (v3684(VarCurr!0, 5)),
% 16.35/10.94 inference(unit_resolution,[status(thm)],[138, 137])).
% 16.35/10.94 tff(140,plain,
% 16.35/10.94 (^[VarCurr: state_type] : refl((~v3684(VarCurr, 5)) <=> (~v3684(VarCurr, 5)))),
% 16.35/10.94 inference(bind,[status(th)],[])).
% 16.35/10.94 tff(141,plain,
% 16.35/10.94 (![VarCurr: state_type] : (~v3684(VarCurr, 5)) <=> ![VarCurr: state_type] : (~v3684(VarCurr, 5))),
% 16.35/10.94 inference(quant_intro,[status(thm)],[140])).
% 16.35/10.94 tff(142,plain,
% 16.35/10.94 (![VarCurr: state_type] : (~v3684(VarCurr, 5)) <=> ![VarCurr: state_type] : (~v3684(VarCurr, 5))),
% 16.35/10.94 inference(rewrite,[status(thm)],[])).
% 16.35/10.94 tff(143,axiom,(![VarCurr: state_type] : (~v3684(VarCurr, 5))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','addZeroExtensionConstraint_5')).
% 16.35/10.94 tff(144,plain,
% 16.35/10.94 (![VarCurr: state_type] : (~v3684(VarCurr, 5))),
% 16.35/10.94 inference(modus_ponens,[status(thm)],[143, 142])).
% 16.35/10.94 tff(145,plain,(
% 16.35/10.94 ![VarCurr: state_type] : (~v3684(VarCurr, 5))),
% 16.35/10.94 inference(skolemize,[status(sab)],[144])).
% 16.35/10.94 tff(146,plain,
% 16.35/10.94 (![VarCurr: state_type] : (~v3684(VarCurr, 5))),
% 16.35/10.94 inference(modus_ponens,[status(thm)],[145, 141])).
% 16.35/10.94 tff(147,plain,
% 16.35/10.94 ((~![VarCurr: state_type] : (~v3684(VarCurr, 5))) | (~v3684(VarCurr!0, 5))),
% 16.55/11.14 inference(quant_inst,[status(thm)],[])).
% 16.55/11.14 tff(148,plain,
% 16.55/11.14 ($false),
% 16.55/11.14 inference(unit_resolution,[status(thm)],[147, 146, 139])).
% 16.55/11.14 % SZS output end Proof
%------------------------------------------------------------------------------