TSTP Solution File: CSR042+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : CSR042+1 : TPTP v8.1.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n025.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 : Tue Sep 20 14:27:27 EDT 2022
% Result : Theorem 0.20s 0.40s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : CSR042+1 : TPTP v8.1.0. Released v3.4.0.
% 0.06/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 18:05:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.20/0.40 % SZS status Theorem
% 0.20/0.40 % SZS output start Proof
% 0.20/0.40 tff(borderson_type, type, (
% 0.20/0.40 borderson: ( $i * $i ) > $o)).
% 0.20/0.40 tff(c_georegion_l4_x27_y64_type, type, (
% 0.20/0.40 c_georegion_l4_x27_y64: $i)).
% 0.20/0.40 tff(c_georegion_l4_x27_y65_type, type, (
% 0.20/0.40 c_georegion_l4_x27_y65: $i)).
% 0.20/0.40 tff(mtvisible_type, type, (
% 0.20/0.40 mtvisible: $i > $o)).
% 0.20/0.40 tff(c_tptpgeo_member7_mt_type, type, (
% 0.20/0.40 c_tptpgeo_member7_mt: $i)).
% 0.20/0.40 tff(elem_0_type, type, (
% 0.20/0.40 elem_0: $i)).
% 0.20/0.40 tff(1,plain,
% 0.20/0.40 (^[X: $i, Y: $i] : refl(((~borderson(X, Y)) | borderson(Y, X)) <=> ((~borderson(X, Y)) | borderson(Y, X)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(2,plain,
% 0.20/0.40 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X)) <=> ![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.40 tff(3,plain,
% 0.20/0.40 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X)) <=> ![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(4,plain,
% 0.20/0.40 (^[X: $i, Y: $i] : rewrite((borderson(X, Y) => borderson(Y, X)) <=> ((~borderson(X, Y)) | borderson(Y, X)))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(5,plain,
% 0.20/0.40 (![X: $i, Y: $i] : (borderson(X, Y) => borderson(Y, X)) <=> ![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[4])).
% 0.20/0.40 tff(6,axiom,(![X: $i, Y: $i] : (borderson(X, Y) => borderson(Y, X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','just28')).
% 0.20/0.40 tff(7,plain,
% 0.20/0.40 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.40 tff(8,plain,
% 0.20/0.40 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.20/0.40 tff(9,plain,(
% 0.20/0.40 ![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.40 inference(skolemize,[status(sab)],[8])).
% 0.20/0.40 tff(10,plain,
% 0.20/0.40 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.20/0.40 tff(11,plain,
% 0.20/0.40 (^[ARG1: $i] : refl((~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))) <=> (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(12,plain,
% 0.20/0.40 (![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))) <=> ![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64)))),
% 0.20/0.40 inference(quant_intro,[status(thm)],[11])).
% 0.20/0.40 tff(13,plain,
% 0.20/0.40 ((~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))) <=> (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(14,plain,
% 0.20/0.40 ((~?[ARG1: $i] : (mtvisible(c_tptpgeo_member7_mt) => borderson(ARG1, c_georegion_l4_x27_y64))) <=> (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64)))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(15,axiom,(~?[ARG1: $i] : (mtvisible(c_tptpgeo_member7_mt) => borderson(ARG1, c_georegion_l4_x27_y64))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','query42')).
% 0.20/0.40 tff(16,plain,
% 0.20/0.40 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.20/0.40 tff(17,plain,
% 0.20/0.40 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[16, 13])).
% 0.20/0.40 tff(18,plain,
% 0.20/0.40 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.20/0.40 tff(19,plain,
% 0.20/0.40 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[18, 13])).
% 0.20/0.40 tff(20,plain,
% 0.20/0.40 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[19, 13])).
% 0.20/0.40 tff(21,plain,
% 0.20/0.40 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.20/0.40 tff(22,plain,
% 0.20/0.40 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[21, 13])).
% 0.20/0.40 tff(23,plain,
% 0.20/0.40 (^[ARG1: $i] : refl($oeq((~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64))), (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64)))))),
% 0.20/0.40 inference(bind,[status(th)],[])).
% 0.20/0.40 tff(24,plain,(
% 0.20/0.40 ![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64)))),
% 0.20/0.40 inference(nnf-neg,[status(sab)],[22, 23])).
% 0.20/0.40 tff(25,plain,
% 0.20/0.40 (![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64)))),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[24, 12])).
% 0.20/0.40 tff(26,plain,
% 0.20/0.40 ((~![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64)))) | (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(elem!0, c_georegion_l4_x27_y64)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(27,plain,
% 0.20/0.40 (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(elem!0, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[26, 25])).
% 0.20/0.40 tff(28,plain,
% 0.20/0.40 (((~mtvisible(c_tptpgeo_member7_mt)) | borderson(elem!0, c_georegion_l4_x27_y64)) | mtvisible(c_tptpgeo_member7_mt)),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(29,plain,
% 0.20/0.40 (mtvisible(c_tptpgeo_member7_mt)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[28, 27])).
% 0.20/0.40 tff(30,plain,
% 0.20/0.40 (((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)) <=> ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(31,plain,
% 0.20/0.40 ((mtvisible(c_tptpgeo_member7_mt) => borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)) <=> ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(32,axiom,(mtvisible(c_tptpgeo_member7_mt) => borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','just1')).
% 0.20/0.40 tff(33,plain,
% 0.20/0.40 ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.20/0.40 tff(34,plain,
% 0.20/0.40 ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[33, 30])).
% 0.20/0.40 tff(35,plain,
% 0.20/0.40 (borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[34, 29])).
% 0.20/0.40 tff(36,plain,
% 0.20/0.40 (((~![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))) | ((~borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)) | borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64))) <=> ((~![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))) | (~borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)) | borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(37,plain,
% 0.20/0.40 ((~![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))) | ((~borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)) | borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(38,plain,
% 0.20/0.40 ((~![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))) | (~borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65)) | borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.20/0.40 tff(39,plain,
% 0.20/0.40 (borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[38, 35, 10])).
% 0.20/0.40 tff(40,plain,
% 0.20/0.40 (((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64)) | (~borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64))),
% 0.20/0.40 inference(tautology,[status(thm)],[])).
% 0.20/0.40 tff(41,plain,
% 0.20/0.40 ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[40, 39])).
% 0.20/0.40 tff(42,plain,
% 0.20/0.40 ((~![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x27_y64)))) | (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64)))),
% 0.20/0.40 inference(quant_inst,[status(thm)],[])).
% 0.20/0.40 tff(43,plain,
% 0.20/0.40 ($false),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[42, 25, 41])).
% 0.20/0.40 % SZS output end Proof
%------------------------------------------------------------------------------