TSTP Solution File: HWV093_2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : HWV093_2 : TPTP v8.1.0. Bugfixed v6.2.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 02:16:12 EDT 2022
% Result : Theorem 40.63s 26.49s
% Output : Proof 40.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.21 % Problem : HWV093_2 : TPTP v8.1.0. Bugfixed v6.2.0.
% 0.11/0.22 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.43 % Computer : n022.cluster.edu
% 0.13/0.43 % Model : x86_64 x86_64
% 0.13/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.43 % Memory : 8042.1875MB
% 0.13/0.43 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.43 % CPULimit : 300
% 0.13/0.43 % WCLimit : 300
% 0.13/0.43 % DateTime : Thu Sep 1 00:17:10 EDT 2022
% 0.13/0.44 % CPUTime :
% 0.13/0.44 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.44 Usage: tptp [options] [-file:]file
% 0.13/0.44 -h, -? prints this message.
% 0.13/0.44 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.44 -m, -model generate model.
% 0.13/0.44 -p, -proof generate proof.
% 0.13/0.44 -c, -core generate unsat core of named formulas.
% 0.13/0.44 -st, -statistics display statistics.
% 0.13/0.44 -t:timeout set timeout (in second).
% 0.13/0.44 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.44 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.44 -<param>:<value> configuration parameter and value.
% 0.13/0.44 -o:<output-file> file to place output in.
% 40.63/26.49 % SZS status Theorem
% 40.63/26.49 % SZS output start Proof
% 40.63/26.49 tff(v999_type, type, (
% 40.63/26.49 v999: state_type > $o)).
% 40.63/26.49 tff(tptp_fun_VarCurr_0_type, type, (
% 40.63/26.49 tptp_fun_VarCurr_0: state_type)).
% 40.63/26.49 tff(v998_type, type, (
% 40.63/26.49 v998: state_type > $o)).
% 40.63/26.49 tff(v1000_type, type, (
% 40.63/26.49 v1000: ( state_type * $int ) > $o)).
% 40.63/26.49 tff(v1001_type, type, (
% 40.63/26.49 v1001: state_type > $o)).
% 40.63/26.49 tff(v1007_type, type, (
% 40.63/26.49 v1007: ( state_type * $int ) > $o)).
% 40.63/26.49 tff(v1003_type, type, (
% 40.63/26.49 v1003: state_type > $o)).
% 40.63/26.49 tff(v1010_type, type, (
% 40.63/26.49 v1010: state_type > $o)).
% 40.63/26.49 tff(v996_type, type, (
% 40.63/26.49 v996: state_type > $o)).
% 40.63/26.49 tff(v995_type, type, (
% 40.63/26.49 v995: state_type > $o)).
% 40.63/26.49 tff(v4_type, type, (
% 40.63/26.49 v4: state_type > $o)).
% 40.63/26.49 tff(reachableState_type, type, (
% 40.63/26.49 reachableState: state_type > $o)).
% 40.63/26.49 tff(1,assumption,(~((~v998(VarCurr!0)) <=> v999(VarCurr!0))), introduced(assumption)).
% 40.63/26.49 tff(2,plain,
% 40.63/26.49 (^[VarCurr: state_type] : refl(((~v998(VarCurr)) <=> v999(VarCurr)) <=> ((~v998(VarCurr)) <=> v999(VarCurr)))),
% 40.63/26.49 inference(bind,[status(th)],[])).
% 40.63/26.49 tff(3,plain,
% 40.63/26.49 (![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr)) <=> ![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr))),
% 40.63/26.49 inference(quant_intro,[status(thm)],[2])).
% 40.63/26.49 tff(4,plain,
% 40.63/26.49 (![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr)) <=> ![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr))),
% 40.63/26.49 inference(rewrite,[status(thm)],[])).
% 40.63/26.49 tff(5,axiom,(![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_111')).
% 40.63/26.49 tff(6,plain,
% 40.63/26.49 (![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr))),
% 40.63/26.49 inference(modus_ponens,[status(thm)],[5, 4])).
% 40.63/26.49 tff(7,plain,(
% 40.63/26.49 ![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr))),
% 40.63/26.49 inference(skolemize,[status(sab)],[6])).
% 40.63/26.49 tff(8,plain,
% 40.63/26.49 (![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr))),
% 40.63/26.49 inference(modus_ponens,[status(thm)],[7, 3])).
% 40.63/26.49 tff(9,plain,
% 40.63/26.49 ((~![VarCurr: state_type] : ((~v998(VarCurr)) <=> v999(VarCurr))) | ((~v998(VarCurr!0)) <=> v999(VarCurr!0))),
% 40.63/26.49 inference(quant_inst,[status(thm)],[])).
% 40.63/26.49 tff(10,plain,
% 40.63/26.49 ($false),
% 40.63/26.49 inference(unit_resolution,[status(thm)],[9, 8, 1])).
% 40.63/26.49 tff(11,plain,((~v998(VarCurr!0)) <=> v999(VarCurr!0)), inference(lemma,lemma(discharge,[]))).
% 40.63/26.49 tff(12,plain,
% 40.63/26.49 (^[VarCurr: state_type] : refl((v999(VarCurr) <=> (~((~v1000(VarCurr, 0)) | (~v1000(VarCurr, 1))))) <=> (v999(VarCurr) <=> (~((~v1000(VarCurr, 0)) | (~v1000(VarCurr, 1))))))),
% 40.63/26.49 inference(bind,[status(th)],[])).
% 40.63/26.49 tff(13,plain,
% 40.63/26.49 (![VarCurr: state_type] : (v999(VarCurr) <=> (~((~v1000(VarCurr, 0)) | (~v1000(VarCurr, 1))))) <=> ![VarCurr: state_type] : (v999(VarCurr) <=> (~((~v1000(VarCurr, 0)) | (~v1000(VarCurr, 1)))))),
% 40.63/26.49 inference(quant_intro,[status(thm)],[12])).
% 40.63/26.49 tff(14,plain,
% 40.63/26.49 (^[VarCurr: state_type] : rewrite((v999(VarCurr) <=> (v1000(VarCurr, 0) & v1000(VarCurr, 1))) <=> (v999(VarCurr) <=> (~((~v1000(VarCurr, 0)) | (~v1000(VarCurr, 1))))))),
% 40.63/26.49 inference(bind,[status(th)],[])).
% 40.63/26.49 tff(15,plain,
% 40.63/26.49 (![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, 0) & v1000(VarCurr, 1))) <=> ![VarCurr: state_type] : (v999(VarCurr) <=> (~((~v1000(VarCurr, 0)) | (~v1000(VarCurr, 1)))))),
% 40.63/26.49 inference(quant_intro,[status(thm)],[14])).
% 40.63/26.49 tff(16,plain,
% 40.63/26.49 (![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, 0) & v1000(VarCurr, 1))) <=> ![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, 0) & v1000(VarCurr, 1)))),
% 40.63/26.49 inference(rewrite,[status(thm)],[])).
% 40.63/26.49 tff(17,axiom,(![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, 0) & v1000(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_79')).
% 40.63/26.49 tff(18,plain,
% 40.63/26.49 (![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, 0) & v1000(VarCurr, 1)))),
% 40.63/26.49 inference(modus_ponens,[status(thm)],[17, 16])).
% 40.63/26.49 tff(19,plain,(
% 40.63/26.49 ![VarCurr: state_type] : (v999(VarCurr) <=> (v1000(VarCurr, 0) & v1000(VarCurr, 1)))),
% 40.63/26.49 inference(skolemize,[status(sab)],[18])).
% 40.63/26.49 tff(20,plain,
% 40.63/26.49 (![VarCurr: state_type] : (v999(VarCurr) <=> (~((~v1000(VarCurr, 0)) | (~v1000(VarCurr, 1)))))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[19, 15])).
% 40.80/26.50 tff(21,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v999(VarCurr) <=> (~((~v1000(VarCurr, 0)) | (~v1000(VarCurr, 1)))))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[20, 13])).
% 40.80/26.50 tff(22,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : (v999(VarCurr) <=> (~((~v1000(VarCurr, 0)) | (~v1000(VarCurr, 1)))))) | (v999(VarCurr!0) <=> (~((~v1000(VarCurr!0, 0)) | (~v1000(VarCurr!0, 1)))))),
% 40.80/26.50 inference(quant_inst,[status(thm)],[])).
% 40.80/26.50 tff(23,plain,
% 40.80/26.50 (v999(VarCurr!0) <=> (~((~v1000(VarCurr!0, 0)) | (~v1000(VarCurr!0, 1))))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[22, 21])).
% 40.80/26.50 tff(24,plain,
% 40.80/26.50 (^[VarCurr: state_type] : refl((v1000(VarCurr, 0) <=> v1001(VarCurr)) <=> (v1000(VarCurr, 0) <=> v1001(VarCurr)))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(25,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1000(VarCurr, 0) <=> v1001(VarCurr)) <=> ![VarCurr: state_type] : (v1000(VarCurr, 0) <=> v1001(VarCurr))),
% 40.80/26.50 inference(quant_intro,[status(thm)],[24])).
% 40.80/26.50 tff(26,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1000(VarCurr, 0) <=> v1001(VarCurr)) <=> ![VarCurr: state_type] : (v1000(VarCurr, 0) <=> v1001(VarCurr))),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(27,axiom,(![VarCurr: state_type] : (v1000(VarCurr, 0) <=> v1001(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_245')).
% 40.80/26.50 tff(28,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1000(VarCurr, 0) <=> v1001(VarCurr))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[27, 26])).
% 40.80/26.50 tff(29,plain,(
% 40.80/26.50 ![VarCurr: state_type] : (v1000(VarCurr, 0) <=> v1001(VarCurr))),
% 40.80/26.50 inference(skolemize,[status(sab)],[28])).
% 40.80/26.50 tff(30,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1000(VarCurr, 0) <=> v1001(VarCurr))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[29, 25])).
% 40.80/26.50 tff(31,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : (v1000(VarCurr, 0) <=> v1001(VarCurr))) | (v1000(VarCurr!0, 0) <=> v1001(VarCurr!0))),
% 40.80/26.50 inference(quant_inst,[status(thm)],[])).
% 40.80/26.50 tff(32,plain,
% 40.80/26.50 (v1000(VarCurr!0, 0) <=> v1001(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[31, 30])).
% 40.80/26.50 tff(33,plain,
% 40.80/26.50 (^[VarCurr: state_type] : refl((v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, 5))))) <=> (v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, 5))))))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(34,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, 5))))) <=> ![VarCurr: state_type] : (v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, 5)))))),
% 40.80/26.50 inference(quant_intro,[status(thm)],[33])).
% 40.80/26.50 tff(35,plain,
% 40.80/26.50 (^[VarCurr: state_type] : rewrite((v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, 5))) <=> (v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, 5))))))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(36,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, 5))) <=> ![VarCurr: state_type] : (v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, 5)))))),
% 40.80/26.50 inference(quant_intro,[status(thm)],[35])).
% 40.80/26.50 tff(37,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, 5))) <=> ![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, 5)))),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(38,axiom,(![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, 5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_78')).
% 40.80/26.50 tff(39,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, 5)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[38, 37])).
% 40.80/26.50 tff(40,plain,(
% 40.80/26.50 ![VarCurr: state_type] : (v1001(VarCurr) <=> (v1003(VarCurr) & v1007(VarCurr, 5)))),
% 40.80/26.50 inference(skolemize,[status(sab)],[39])).
% 40.80/26.50 tff(41,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, 5)))))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[40, 36])).
% 40.80/26.50 tff(42,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, 5)))))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[41, 34])).
% 40.80/26.50 tff(43,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : (v1001(VarCurr) <=> (~((~v1003(VarCurr)) | (~v1007(VarCurr, 5)))))) | (v1001(VarCurr!0) <=> (~((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, 5)))))),
% 40.80/26.50 inference(quant_inst,[status(thm)],[])).
% 40.80/26.50 tff(44,plain,
% 40.80/26.50 (v1001(VarCurr!0) <=> (~((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, 5))))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[43, 42])).
% 40.80/26.50 tff(45,assumption,(v1007(VarCurr!0, 5)), introduced(assumption)).
% 40.80/26.50 tff(46,plain,
% 40.80/26.50 (^[VarCurr: state_type] : refl((~v1007(VarCurr, 5)) <=> (~v1007(VarCurr, 5)))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(47,plain,
% 40.80/26.50 (![VarCurr: state_type] : (~v1007(VarCurr, 5)) <=> ![VarCurr: state_type] : (~v1007(VarCurr, 5))),
% 40.80/26.50 inference(quant_intro,[status(thm)],[46])).
% 40.80/26.50 tff(48,plain,
% 40.80/26.50 (![VarCurr: state_type] : (~v1007(VarCurr, 5)) <=> ![VarCurr: state_type] : (~v1007(VarCurr, 5))),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(49,axiom,(![VarCurr: state_type] : (~v1007(VarCurr, 5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addZeroExtensionConstraint_3')).
% 40.80/26.50 tff(50,plain,
% 40.80/26.50 (![VarCurr: state_type] : (~v1007(VarCurr, 5))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[49, 48])).
% 40.80/26.50 tff(51,plain,(
% 40.80/26.50 ![VarCurr: state_type] : (~v1007(VarCurr, 5))),
% 40.80/26.50 inference(skolemize,[status(sab)],[50])).
% 40.80/26.50 tff(52,plain,
% 40.80/26.50 (![VarCurr: state_type] : (~v1007(VarCurr, 5))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[51, 47])).
% 40.80/26.50 tff(53,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : (~v1007(VarCurr, 5))) | (~v1007(VarCurr!0, 5))),
% 40.80/26.50 inference(quant_inst,[status(thm)],[])).
% 40.80/26.50 tff(54,plain,
% 40.80/26.50 ($false),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[53, 52, 45])).
% 40.80/26.50 tff(55,plain,(~v1007(VarCurr!0, 5)), inference(lemma,lemma(discharge,[]))).
% 40.80/26.50 tff(56,plain,
% 40.80/26.50 (((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, 5))) | v1007(VarCurr!0, 5)),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(57,plain,
% 40.80/26.50 ((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, 5))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[56, 55])).
% 40.80/26.50 tff(58,plain,
% 40.80/26.50 ((~(v1001(VarCurr!0) <=> (~((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, 5)))))) | (~v1001(VarCurr!0)) | (~((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, 5))))),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(59,plain,
% 40.80/26.50 ((~(v1001(VarCurr!0) <=> (~((~v1003(VarCurr!0)) | (~v1007(VarCurr!0, 5)))))) | (~v1001(VarCurr!0))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[58, 57])).
% 40.80/26.50 tff(60,plain,
% 40.80/26.50 (~v1001(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[59, 44])).
% 40.80/26.50 tff(61,plain,
% 40.80/26.50 ((~(v1000(VarCurr!0, 0) <=> v1001(VarCurr!0))) | (~v1000(VarCurr!0, 0)) | v1001(VarCurr!0)),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(62,plain,
% 40.80/26.50 ((~(v1000(VarCurr!0, 0) <=> v1001(VarCurr!0))) | (~v1000(VarCurr!0, 0))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[61, 60])).
% 40.80/26.50 tff(63,plain,
% 40.80/26.50 (~v1000(VarCurr!0, 0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[62, 32])).
% 40.80/26.50 tff(64,plain,
% 40.80/26.50 (((~v1000(VarCurr!0, 0)) | (~v1000(VarCurr!0, 1))) | v1000(VarCurr!0, 0)),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(65,plain,
% 40.80/26.50 ((~v1000(VarCurr!0, 0)) | (~v1000(VarCurr!0, 1))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[64, 63])).
% 40.80/26.50 tff(66,plain,
% 40.80/26.50 ((~(v999(VarCurr!0) <=> (~((~v1000(VarCurr!0, 0)) | (~v1000(VarCurr!0, 1)))))) | (~v999(VarCurr!0)) | (~((~v1000(VarCurr!0, 0)) | (~v1000(VarCurr!0, 1))))),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(67,plain,
% 40.80/26.50 ((~(v999(VarCurr!0) <=> (~((~v1000(VarCurr!0, 0)) | (~v1000(VarCurr!0, 1)))))) | (~v999(VarCurr!0))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[66, 65])).
% 40.80/26.50 tff(68,plain,
% 40.80/26.50 (~v999(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[67, 23])).
% 40.80/26.50 tff(69,plain,
% 40.80/26.50 (^[VarCurr: state_type] : refl((v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1))) <=> (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1))))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(70,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1))) <=> ![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1)))),
% 40.80/26.50 inference(quant_intro,[status(thm)],[69])).
% 40.80/26.50 tff(71,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1))) <=> ![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1)))),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(72,axiom,(![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorShiftedRanges_80')).
% 40.80/26.50 tff(73,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[72, 71])).
% 40.80/26.50 tff(74,plain,(
% 40.80/26.50 ![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1)))),
% 40.80/26.50 inference(skolemize,[status(sab)],[73])).
% 40.80/26.50 tff(75,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[74, 70])).
% 40.80/26.50 tff(76,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : (v1010(VarCurr) <=> (v1000(VarCurr, 0) | v1000(VarCurr, 1)))) | (v1010(VarCurr!0) <=> (v1000(VarCurr!0, 0) | v1000(VarCurr!0, 1)))),
% 40.80/26.50 inference(quant_inst,[status(thm)],[])).
% 40.80/26.50 tff(77,plain,
% 40.80/26.50 (v1010(VarCurr!0) <=> (v1000(VarCurr!0, 0) | v1000(VarCurr!0, 1))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[76, 75])).
% 40.80/26.50 tff(78,assumption,(~v1000(VarCurr!0, 1)), introduced(assumption)).
% 40.80/26.50 tff(79,plain,
% 40.80/26.50 (^[VarCurr: state_type] : refl(v1000(VarCurr, 1) <=> v1000(VarCurr, 1))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(80,plain,
% 40.80/26.50 (![VarCurr: state_type] : v1000(VarCurr, 1) <=> ![VarCurr: state_type] : v1000(VarCurr, 1)),
% 40.80/26.50 inference(quant_intro,[status(thm)],[79])).
% 40.80/26.50 tff(81,plain,
% 40.80/26.50 (![VarCurr: state_type] : v1000(VarCurr, 1) <=> ![VarCurr: state_type] : v1000(VarCurr, 1)),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(82,plain,
% 40.80/26.50 (^[VarCurr: state_type] : rewrite((v1000(VarCurr, 1) <=> $true) <=> v1000(VarCurr, 1))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(83,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v1000(VarCurr, 1) <=> $true) <=> ![VarCurr: state_type] : v1000(VarCurr, 1)),
% 40.80/26.50 inference(quant_intro,[status(thm)],[82])).
% 40.80/26.50 tff(84,axiom,(![VarCurr: state_type] : (v1000(VarCurr, 1) <=> $true)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssignment_244')).
% 40.80/26.50 tff(85,plain,
% 40.80/26.50 (![VarCurr: state_type] : v1000(VarCurr, 1)),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[84, 83])).
% 40.80/26.50 tff(86,plain,
% 40.80/26.50 (![VarCurr: state_type] : v1000(VarCurr, 1)),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[85, 81])).
% 40.80/26.50 tff(87,plain,(
% 40.80/26.50 ![VarCurr: state_type] : v1000(VarCurr, 1)),
% 40.80/26.50 inference(skolemize,[status(sab)],[86])).
% 40.80/26.50 tff(88,plain,
% 40.80/26.50 (![VarCurr: state_type] : v1000(VarCurr, 1)),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[87, 80])).
% 40.80/26.50 tff(89,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : v1000(VarCurr, 1)) | v1000(VarCurr!0, 1)),
% 40.80/26.50 inference(quant_inst,[status(thm)],[])).
% 40.80/26.50 tff(90,plain,
% 40.80/26.50 ($false),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[89, 88, 78])).
% 40.80/26.50 tff(91,plain,(v1000(VarCurr!0, 1)), inference(lemma,lemma(discharge,[]))).
% 40.80/26.50 tff(92,plain,
% 40.80/26.50 ((v1000(VarCurr!0, 0) | v1000(VarCurr!0, 1)) | (~v1000(VarCurr!0, 1))),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(93,plain,
% 40.80/26.50 (v1000(VarCurr!0, 0) | v1000(VarCurr!0, 1)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[92, 91])).
% 40.80/26.50 tff(94,plain,
% 40.80/26.50 ((~(v1010(VarCurr!0) <=> (v1000(VarCurr!0, 0) | v1000(VarCurr!0, 1)))) | v1010(VarCurr!0) | (~(v1000(VarCurr!0, 0) | v1000(VarCurr!0, 1)))),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(95,plain,
% 40.80/26.50 (v1010(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[94, 93, 77])).
% 40.80/26.50 tff(96,plain,
% 40.80/26.50 (^[VarCurr: state_type] : refl((v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr))))) <=> (v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr))))))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(97,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr))))) <=> ![VarCurr: state_type] : (v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr)))))),
% 40.80/26.50 inference(quant_intro,[status(thm)],[96])).
% 40.80/26.50 tff(98,plain,
% 40.80/26.50 (^[VarCurr: state_type] : rewrite((v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> (v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr))))))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(99,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> ![VarCurr: state_type] : (v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr)))))),
% 40.80/26.50 inference(quant_intro,[status(thm)],[98])).
% 40.80/26.50 tff(100,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr))) <=> ![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(101,axiom,(![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeBinaryOperatorEqualRangesSingleBits_170')).
% 40.80/26.50 tff(102,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[101, 100])).
% 40.80/26.50 tff(103,plain,(
% 40.80/26.50 ![VarCurr: state_type] : (v996(VarCurr) <=> (v998(VarCurr) & v1010(VarCurr)))),
% 40.80/26.50 inference(skolemize,[status(sab)],[102])).
% 40.80/26.50 tff(104,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr)))))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[103, 99])).
% 40.80/26.50 tff(105,plain,
% 40.80/26.50 (![VarCurr: state_type] : (v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr)))))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[104, 97])).
% 40.80/26.50 tff(106,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : (v996(VarCurr) <=> (~((~v998(VarCurr)) | (~v1010(VarCurr)))))) | (v996(VarCurr!0) <=> (~((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))))),
% 40.80/26.50 inference(quant_inst,[status(thm)],[])).
% 40.80/26.50 tff(107,plain,
% 40.80/26.50 (v996(VarCurr!0) <=> (~((~v998(VarCurr!0)) | (~v1010(VarCurr!0))))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[106, 105])).
% 40.80/26.50 tff(108,plain,
% 40.80/26.50 (^[VarCurr: state_type] : refl(((~v995(VarCurr)) <=> v996(VarCurr)) <=> ((~v995(VarCurr)) <=> v996(VarCurr)))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(109,plain,
% 40.80/26.50 (![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr)) <=> ![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr))),
% 40.80/26.50 inference(quant_intro,[status(thm)],[108])).
% 40.80/26.50 tff(110,plain,
% 40.80/26.50 (![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr)) <=> ![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr))),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(111,axiom,(![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_112')).
% 40.80/26.50 tff(112,plain,
% 40.80/26.50 (![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[111, 110])).
% 40.80/26.50 tff(113,plain,(
% 40.80/26.50 ![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr))),
% 40.80/26.50 inference(skolemize,[status(sab)],[112])).
% 40.80/26.50 tff(114,plain,
% 40.80/26.50 (![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[113, 109])).
% 40.80/26.50 tff(115,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : ((~v995(VarCurr)) <=> v996(VarCurr))) | ((~v995(VarCurr!0)) <=> v996(VarCurr!0))),
% 40.80/26.50 inference(quant_inst,[status(thm)],[])).
% 40.80/26.50 tff(116,plain,
% 40.80/26.50 ((~v995(VarCurr!0)) <=> v996(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[115, 114])).
% 40.80/26.50 tff(117,plain,
% 40.80/26.50 (^[VarCurr: state_type] : refl(((~v4(VarCurr)) <=> v995(VarCurr)) <=> ((~v4(VarCurr)) <=> v995(VarCurr)))),
% 40.80/26.50 inference(bind,[status(th)],[])).
% 40.80/26.50 tff(118,plain,
% 40.80/26.50 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr))),
% 40.80/26.50 inference(quant_intro,[status(thm)],[117])).
% 40.80/26.50 tff(119,plain,
% 40.80/26.50 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr)) <=> ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr))),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(120,axiom,(![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','writeUnaryOperator_113')).
% 40.80/26.50 tff(121,plain,
% 40.80/26.50 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[120, 119])).
% 40.80/26.50 tff(122,plain,(
% 40.80/26.50 ![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr))),
% 40.80/26.50 inference(skolemize,[status(sab)],[121])).
% 40.80/26.50 tff(123,plain,
% 40.80/26.50 (![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[122, 118])).
% 40.80/26.50 tff(124,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : ((~v4(VarCurr)) <=> v995(VarCurr))) | ((~v4(VarCurr!0)) <=> v995(VarCurr!0))),
% 40.80/26.50 inference(quant_inst,[status(thm)],[])).
% 40.80/26.50 tff(125,plain,
% 40.80/26.50 ((~v4(VarCurr!0)) <=> v995(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[124, 123])).
% 40.80/26.50 tff(126,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))) <=> (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr))))),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(127,plain,
% 40.80/26.50 ((~![VarCurr: state_type] : (reachableState(VarCurr) => v4(VarCurr))) <=> (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr))))),
% 40.80/26.50 inference(rewrite,[status(thm)],[])).
% 40.80/26.50 tff(128,axiom,(~![VarCurr: state_type] : (reachableState(VarCurr) => v4(VarCurr))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','addAssertion')).
% 40.80/26.50 tff(129,plain,
% 40.80/26.50 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[128, 127])).
% 40.80/26.50 tff(130,plain,
% 40.80/26.50 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[129, 126])).
% 40.80/26.50 tff(131,plain,
% 40.80/26.50 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[130, 126])).
% 40.80/26.50 tff(132,plain,
% 40.80/26.50 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[131, 126])).
% 40.80/26.50 tff(133,plain,
% 40.80/26.50 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[132, 126])).
% 40.80/26.50 tff(134,plain,
% 40.80/26.50 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[133, 126])).
% 40.80/26.50 tff(135,plain,
% 40.80/26.50 (~![VarCurr: state_type] : (v4(VarCurr) | (~reachableState(VarCurr)))),
% 40.80/26.50 inference(modus_ponens,[status(thm)],[134, 126])).
% 40.80/26.50 tff(136,plain,(
% 40.80/26.50 ~(v4(VarCurr!0) | (~reachableState(VarCurr!0)))),
% 40.80/26.50 inference(skolemize,[status(sab)],[135])).
% 40.80/26.50 tff(137,plain,
% 40.80/26.50 (~v4(VarCurr!0)),
% 40.80/26.50 inference(or_elim,[status(thm)],[136])).
% 40.80/26.50 tff(138,plain,
% 40.80/26.50 ((~((~v4(VarCurr!0)) <=> v995(VarCurr!0))) | v4(VarCurr!0) | v995(VarCurr!0)),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(139,plain,
% 40.80/26.50 ((~((~v4(VarCurr!0)) <=> v995(VarCurr!0))) | v995(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[138, 137])).
% 40.80/26.50 tff(140,plain,
% 40.80/26.50 (v995(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[139, 125])).
% 40.80/26.50 tff(141,plain,
% 40.80/26.50 ((~((~v995(VarCurr!0)) <=> v996(VarCurr!0))) | (~v995(VarCurr!0)) | (~v996(VarCurr!0))),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(142,plain,
% 40.80/26.50 ((~((~v995(VarCurr!0)) <=> v996(VarCurr!0))) | (~v996(VarCurr!0))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[141, 140])).
% 40.80/26.50 tff(143,plain,
% 40.80/26.50 (~v996(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[142, 116])).
% 40.80/26.50 tff(144,plain,
% 40.80/26.50 ((~(v996(VarCurr!0) <=> (~((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))))) | v996(VarCurr!0) | ((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(145,plain,
% 40.80/26.50 ((~(v996(VarCurr!0) <=> (~((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))))) | ((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[144, 143])).
% 40.80/26.50 tff(146,plain,
% 40.80/26.50 ((~v998(VarCurr!0)) | (~v1010(VarCurr!0))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[145, 107])).
% 40.80/26.50 tff(147,plain,
% 40.80/26.50 ((~((~v998(VarCurr!0)) | (~v1010(VarCurr!0)))) | (~v998(VarCurr!0)) | (~v1010(VarCurr!0))),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.50 tff(148,plain,
% 40.80/26.50 ((~v998(VarCurr!0)) | (~v1010(VarCurr!0))),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[147, 146])).
% 40.80/26.50 tff(149,plain,
% 40.80/26.50 (~v998(VarCurr!0)),
% 40.80/26.50 inference(unit_resolution,[status(thm)],[148, 95])).
% 40.80/26.50 tff(150,plain,
% 40.80/26.50 ((~((~v998(VarCurr!0)) <=> v999(VarCurr!0))) | v998(VarCurr!0) | v999(VarCurr!0)),
% 40.80/26.50 inference(tautology,[status(thm)],[])).
% 40.80/26.55 tff(151,plain,
% 40.80/26.55 (~((~v998(VarCurr!0)) <=> v999(VarCurr!0))),
% 40.80/26.55 inference(unit_resolution,[status(thm)],[150, 149, 68])).
% 40.80/26.55 tff(152,plain,
% 40.80/26.55 ($false),
% 40.80/26.55 inference(unit_resolution,[status(thm)],[151, 11])).
% 40.80/26.55 % SZS output end Proof
%------------------------------------------------------------------------------