TSTP Solution File: ITP006+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : ITP006+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% 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 : 600s
% DateTime : Sat Jul 16 23:40:17 EDT 2022
% Result : Theorem 0.97s 1.40s
% Output : Proof 1.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP006+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.14/0.34 % Computer : n022.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Fri Jun 3 18:46:06 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.97/1.40 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.97/1.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.04/1.41
% 1.04/1.41 %-----------------------------------------------------
% 1.04/1.41 fof(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT, conjecture, ! [_169542, _169545, _169548, _169551, _169554] : (! [_169562] : (p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_169542, tyop_2Emin_2Ebool), _169554), s(_169542, _169562)))) => p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_169542, tyop_2Emin_2Ebool), _169551), s(_169542, _169562))))) => p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(_169545, _169542), _169548), s(tyop_2Emin_2Efun(_169542, tyop_2Emin_2Ebool), _169551)))) => p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(_169545, _169542), _169548), s(tyop_2Emin_2Efun(_169542, tyop_2Emin_2Ebool), _169554))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT)).
% 1.04/1.41 fof(thm_2EquantHeuristics_2EGUESS__REWRITES, axiom, ! [_170258, _170261, _170264, _170267] : ((p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170264), s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170267)))) <=> ! [_170324] : (p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170267), s(_170261, _170324)))) => ? [_170374] : p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170267), s(_170261, app_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170264), s(_170258, _170374)))))))) & (p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170264), s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170267)))) <=> ! [_170501] : (~ p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170267), s(_170261, _170501)))) => ? [_170553] : ~ p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170267), s(_170261, app_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170264), s(_170258, _170553)))))))) & ! [_170633, _170636] : (p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS__POINT_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170633), s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170636)))) <=> ! [_170693] : p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170636), s(_170261, app_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170633), s(_170258, _170693))))))) & ! [_170771, _170774] : (p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170771), s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170774)))) <=> ! [_170831] : ~ p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170774), s(_170261, app_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170771), s(_170258, _170831))))))) & ! [_170911, _170914] : (p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__EXISTS__GAP_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170911), s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170914)))) <=> ! [_170971] : (p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _170914), s(_170261, _170971)))) => ? [_171021] : s(_170261, _170971) = s(_170261, app_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _170911), s(_170258, _171021))))) & ! [_171077, _171080] : (p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__GAP_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _171077), s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _171080)))) <=> ! [_171137] : (~ p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_170261, tyop_2Emin_2Ebool), _171080), s(_170261, _171137)))) => ? [_171189] : s(_170261, _171137) = s(_170261, app_2E2(s(tyop_2Emin_2Efun(_170258, _170261), _171077), s(_170258, _171189)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', thm_2EquantHeuristics_2EGUESS__REWRITES)).
% 1.04/1.41
% 1.04/1.41 cnf(1, plain, [-(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 17 ^ [])))))], clausify(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT)).
% 1.04/1.41 cnf(2, plain, [p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 18 ^ []))))], clausify(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT)).
% 1.04/1.41 cnf(3, plain, [p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 18 ^ []), s(14 ^ [], _155870)))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 17 ^ []), s(14 ^ [], _155870)))))], clausify(thm_2EquantHeuristics_2EGUESS__RULES__WEAKEN__FORALL__POINT)).
% 1.04/1.41 cnf(4, plain, [p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(_91845, _92380), _97155), s(tyop_2Emin_2Efun(_92380, tyop_2Emin_2Ebool), _97266)))), p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_92380, tyop_2Emin_2Ebool), _97266), s(_92380, app_2E2(s(tyop_2Emin_2Efun(_91845, _92380), _97155), s(_91845, _97636))))))], clausify(thm_2EquantHeuristics_2EGUESS__REWRITES)).
% 1.04/1.41 cnf(5, plain, [-(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(_91845, _92380), _97155), s(tyop_2Emin_2Efun(_92380, tyop_2Emin_2Ebool), _97266))))), -(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(_92380, tyop_2Emin_2Ebool), _97266), s(_92380, app_2E2(s(tyop_2Emin_2Efun(_91845, _92380), _97155), s(_91845, 9 ^ [_97266, _97155, _93447, _92914, _92380, _91845])))))))], clausify(thm_2EquantHeuristics_2EGUESS__REWRITES)).
% 1.04/1.41
% 1.04/1.41 cnf('1',plain,[p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 17 ^ [])))), p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 17 ^ []), s(14 ^ [], app_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(15 ^ [], 9 ^ [18 ^ [], 16 ^ [], _165668, _165670, 14 ^ [], 15 ^ []]))))))],start(4,bind([[_97266, _92380, _97155, _91845, _97636], [17 ^ [], 14 ^ [], 16 ^ [], 15 ^ [], 9 ^ [18 ^ [], 16 ^ [], _165668, _165670, 14 ^ [], 15 ^ []]]]))).
% 1.04/1.41 cnf('1.1',plain,[-(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 17 ^ [])))))],extension(1)).
% 1.04/1.41 cnf('1.2',plain,[-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 17 ^ []), s(14 ^ [], app_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(15 ^ [], 9 ^ [18 ^ [], 16 ^ [], _165668, _165670, 14 ^ [], 15 ^ []]))))))), p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 18 ^ []), s(14 ^ [], app_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(15 ^ [], 9 ^ [18 ^ [], 16 ^ [], _165668, _165670, 14 ^ [], 15 ^ []]))))))],extension(3,bind([[_155870], [app_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(15 ^ [], 9 ^ [18 ^ [], 16 ^ [], _165668, _165670, 14 ^ [], 15 ^ []]))]]))).
% 1.04/1.41 cnf('1.2.1',plain,[-(p(s(tyop_2Emin_2Ebool, app_2E2(s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 18 ^ []), s(14 ^ [], app_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(15 ^ [], 9 ^ [18 ^ [], 16 ^ [], _165668, _165670, 14 ^ [], 15 ^ []]))))))), -(p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 18 ^ [])))))],extension(5,bind([[_93447, _92914, _91845, _97155, _92380, _97266], [_165668, _165670, 15 ^ [], 16 ^ [], 14 ^ [], 18 ^ []]]))).
% 1.04/1.41 cnf('1.2.1.1',plain,[p(s(tyop_2Emin_2Ebool, c_2EquantHeuristics_2EGUESS__FORALL__POINT_2E2(s(tyop_2Emin_2Efun(15 ^ [], 14 ^ []), 16 ^ []), s(tyop_2Emin_2Efun(14 ^ [], tyop_2Emin_2Ebool), 18 ^ []))))],extension(2)).
% 1.04/1.41 %-----------------------------------------------------
% 1.04/1.42
% 1.04/1.42 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------