%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : CSR067+1 : TPTP v9.0.0. Released v3.4.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n004.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 05:01:43 AM UTC 2025
% Result : Theorem 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : CSR067+1 : TPTP v9.0.0. Released v3.4.0.
% 0.03/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Thu Jun 19 12:49:08 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.38 % SZS status Theorem
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(borderson_type, type, (
% 0.20/0.38 borderson: ( $i * $i ) > $o)).
% 0.20/0.38 tff(c_georegion_l4_x29_y75_type, type, (
% 0.20/0.38 c_georegion_l4_x29_y75: $i)).
% 0.20/0.38 tff(c_georegion_l4_x29_y76_type, type, (
% 0.20/0.38 c_georegion_l4_x29_y76: $i)).
% 0.20/0.38 tff(mtvisible_type, type, (
% 0.20/0.38 mtvisible: $i > $o)).
% 0.20/0.38 tff(c_tptpgeo_member7_mt_type, type, (
% 0.20/0.38 c_tptpgeo_member7_mt: $i)).
% 0.20/0.38 tff(elem_0_type, type, (
% 0.20/0.38 elem_0: $i)).
% 0.20/0.38 tff(1,plain,
% 0.20/0.38 (^[X: $i, Y: $i] : refl(((~borderson(X, Y)) | borderson(Y, X)) <=> ((~borderson(X, Y)) | borderson(Y, X)))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(2,plain,
% 0.20/0.38 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X)) <=> ![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.20/0.38 tff(3,plain,
% 0.20/0.38 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X)) <=> ![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(4,plain,
% 0.20/0.38 (^[X: $i, Y: $i] : rewrite((borderson(X, Y) => borderson(Y, X)) <=> ((~borderson(X, Y)) | borderson(Y, X)))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(5,plain,
% 0.20/0.38 (![X: $i, Y: $i] : (borderson(X, Y) => borderson(Y, X)) <=> ![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[4])).
% 0.20/0.38 tff(6,axiom,(![X: $i, Y: $i] : (borderson(X, Y) => borderson(Y, X))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','just28')).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.20/0.38 tff(8,plain,
% 0.20/0.38 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.20/0.38 tff(9,plain,(
% 0.20/0.38 ![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.38 inference(skolemize,[status(sab)],[8])).
% 0.20/0.38 tff(10,plain,
% 0.20/0.38 (![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.20/0.38 tff(11,plain,
% 0.20/0.38 (^[ARG1: $i] : refl((~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75))) <=> (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(12,plain,
% 0.20/0.38 (![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75))) <=> ![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75)))),
% 0.20/0.38 inference(quant_intro,[status(thm)],[11])).
% 0.20/0.38 tff(13,plain,
% 0.20/0.38 ((~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75))) <=> (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(14,plain,
% 0.20/0.38 ((~?[ARG1: $i] : (mtvisible(c_tptpgeo_member7_mt) => borderson(ARG1, c_georegion_l4_x29_y75))) <=> (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75)))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(15,axiom,(~?[ARG1: $i] : (mtvisible(c_tptpgeo_member7_mt) => borderson(ARG1, c_georegion_l4_x29_y75))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','query67')).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[15, 14])).
% 0.20/0.38 tff(17,plain,
% 0.20/0.38 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[16, 13])).
% 0.20/0.38 tff(18,plain,
% 0.20/0.38 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.20/0.38 tff(19,plain,
% 0.20/0.38 (~?[ARG1: $i] : ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75))),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[18, 13])).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 (^[ARG1: $i] : refl($oeq((~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75))), (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75)))))),
% 0.20/0.38 inference(bind,[status(th)],[])).
% 0.20/0.38 tff(21,plain,(
% 0.20/0.38 ![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75)))),
% 0.20/0.39 inference(nnf-neg,[status(sab)],[19, 20])).
% 0.20/0.39 tff(22,plain,
% 0.20/0.39 (![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75)))),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[21, 12])).
% 0.20/0.39 tff(23,plain,
% 0.20/0.39 ((~![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75)))) | (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(elem!0, c_georegion_l4_x29_y75)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(24,plain,
% 0.20/0.39 (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(elem!0, c_georegion_l4_x29_y75))),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[23, 22])).
% 0.20/0.39 tff(25,plain,
% 0.20/0.39 (((~mtvisible(c_tptpgeo_member7_mt)) | borderson(elem!0, c_georegion_l4_x29_y75)) | mtvisible(c_tptpgeo_member7_mt)),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(26,plain,
% 0.20/0.39 (mtvisible(c_tptpgeo_member7_mt)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[25, 24])).
% 0.20/0.39 tff(27,plain,
% 0.20/0.39 (((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)) <=> ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(28,plain,
% 0.20/0.39 ((mtvisible(c_tptpgeo_member7_mt) => borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)) <=> ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(29,axiom,(mtvisible(c_tptpgeo_member7_mt) => borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','just1')).
% 0.20/0.39 tff(30,plain,
% 0.20/0.39 ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.20/0.39 tff(31,plain,
% 0.20/0.39 ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[30, 27])).
% 0.20/0.39 tff(32,plain,
% 0.20/0.39 (borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[31, 26])).
% 0.20/0.39 tff(33,plain,
% 0.20/0.39 (((~![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))) | ((~borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)) | borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75))) <=> ((~![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))) | (~borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)) | borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(34,plain,
% 0.20/0.39 ((~![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))) | ((~borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)) | borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(35,plain,
% 0.20/0.39 ((~![X: $i, Y: $i] : ((~borderson(X, Y)) | borderson(Y, X))) | (~borderson(c_georegion_l4_x29_y75, c_georegion_l4_x29_y76)) | borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.20/0.39 tff(36,plain,
% 0.20/0.39 (borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[35, 32, 10])).
% 0.20/0.39 tff(37,plain,
% 0.20/0.39 (((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75)) | (~borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75))),
% 0.20/0.39 inference(tautology,[status(thm)],[])).
% 0.20/0.39 tff(38,plain,
% 0.20/0.39 ((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.20/0.39 tff(39,plain,
% 0.20/0.39 ((~![ARG1: $i] : (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(ARG1, c_georegion_l4_x29_y75)))) | (~((~mtvisible(c_tptpgeo_member7_mt)) | borderson(c_georegion_l4_x29_y76, c_georegion_l4_x29_y75)))),
% 0.20/0.39 inference(quant_inst,[status(thm)],[])).
% 0.20/0.39 tff(40,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[39, 22, 38])).
% 0.20/0.39 % SZS output end Proof
% 0.20/0.39 % E exiting
%------------------------------------------------------------------------------