TSTP Solution File: SWC288+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% 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  : 600s
% DateTime : Tue Jul 19 21:10:14 EDT 2022

% Result   : Theorem 146.14s 142.07s
% Output   : Proof 146.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC288+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n025.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 12 03:11:52 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 146.14/142.07  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 146.14/142.08  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 146.14/142.09  
% 146.14/142.09  %-----------------------------------------------------
% 146.14/142.09  fof(co1, conjecture, ! [_173209] : (ssList(_173209) => ! [_173224] : (ssList(_173224) => ! [_173239] : (ssList(_173239) => ! [_173254] : (~ ssList(_173254) | (! _173224) = _173254 | (! _173209) = _173239 | strictorderedP(_173209) | ! [_173294] : (ssItem(_173294) => ! [_173309] : (ssList(_173309) => ! [_173324] : (~ ssList(_173324) | (! cons(_173294, nil)) = _173239 | (! app(app(_173309, _173239), _173324)) = _173254 | ? [_173378] : (ssItem(_173378) & memberP(_173309, _173378) & lt(_173294, _173378)) | ? [_173413] : (ssItem(_173413) & memberP(_173324, _173413) & lt(_173413, _173294))))) & ((! nil) = _173254 | (! nil) = _173239))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 146.14/142.09  fof(ax15, axiom, ! [_174179] : (ssList(_174179) => ! [_174194] : (ssList(_174194) => (neq(_174179, _174194) <=> (! _174179) = _174194))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax15)).
% 146.14/142.09  fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax17)).
% 146.14/142.09  fof(ax68, axiom, ! [_174744] : (ssItem(_174744) => strictorderedP(cons(_174744, nil))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax68)).
% 146.14/142.09  fof(ax69, axiom, strictorderedP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax69)).
% 146.14/142.09  
% 146.14/142.09  cnf(1, plain, [-(107 ^ []), -(nil = 101 ^ [])], clausify(co1)).
% 146.14/142.09  cnf(2, plain, [-(106 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])], clausify(co1)).
% 146.14/142.09  cnf(3, plain, [-(106 ^ []), -(ssItem(103 ^ []))], clausify(co1)).
% 146.14/142.09  cnf(4, plain, [-(69 ^ [_82186, _82091]), -(neq(_82091, _82186)), -(_82091 = _82186)], clausify(ax15)).
% 146.14/142.09  cnf(5, plain, [-(69 ^ [_82186, _82091]), neq(_82091, _82186), _82091 = _82186], clausify(ax15)).
% 146.14/142.09  cnf(6, plain, [-(ssList(99 ^ []))], clausify(co1)).
% 146.14/142.09  cnf(7, plain, [-(ssList(101 ^ []))], clausify(co1)).
% 146.14/142.09  cnf(8, plain, [-(99 ^ [] = 101 ^ [])], clausify(co1)).
% 146.14/142.09  cnf(9, plain, [strictorderedP(99 ^ [])], clausify(co1)).
% 146.14/142.09  cnf(10, plain, [107 ^ [], 106 ^ []], clausify(co1)).
% 146.14/142.09  cnf(11, plain, [-(_56530 = _56530)], theory(equality)).
% 146.14/142.09  cnf(12, plain, [_56683 = _56728, -(_56728 = _56683)], theory(equality)).
% 146.14/142.09  cnf(13, plain, [-(neq(_62236, _62367)), neq(_62169, _62302), _62169 = _62236, _62302 = _62367], theory(equality)).
% 146.14/142.09  cnf(14, plain, [-(strictorderedP(_65406)), _65357 = _65406, strictorderedP(_65357)], theory(equality)).
% 146.14/142.09  cnf(15, plain, [ssList(_82091), ssList(_82186), 69 ^ [_82186, _82091]], clausify(ax15)).
% 146.14/142.09  cnf(16, plain, [-(ssList(nil))], clausify(ax17)).
% 146.14/142.09  cnf(17, plain, [ssItem(_104216), -(strictorderedP(cons(_104216, nil)))], clausify(ax68)).
% 146.14/142.09  cnf(18, plain, [-(strictorderedP(nil))], clausify(ax69)).
% 146.14/142.09  
% 146.14/142.09  cnf('1',plain,[107 ^ [], 106 ^ []],start(10)).
% 146.14/142.09  cnf('1.1',plain,[-(107 ^ []), -(nil = 101 ^ [])],extension(1)).
% 146.14/142.09  cnf('1.1.1',plain,[nil = 101 ^ [], -(neq(101 ^ [], 99 ^ [])), neq(nil, 99 ^ []), 99 ^ [] = 99 ^ []],extension(13,bind([[_62236, _62169, _62302, _62367], [101 ^ [], nil, 99 ^ [], 99 ^ []]]))).
% 146.14/142.09  cnf('1.1.1.1',plain,[neq(101 ^ [], 99 ^ []), -(69 ^ [99 ^ [], 101 ^ []]), 101 ^ [] = 99 ^ []],extension(5,bind([[_82091, _82186], [101 ^ [], 99 ^ []]]))).
% 146.14/142.09  cnf('1.1.1.1.1',plain,[69 ^ [99 ^ [], 101 ^ []], ssList(101 ^ []), ssList(99 ^ [])],extension(15,bind([[_82091, _82186], [101 ^ [], 99 ^ []]]))).
% 146.14/142.09  cnf('1.1.1.1.1.1',plain,[-(ssList(101 ^ []))],extension(7)).
% 146.14/142.09  cnf('1.1.1.1.1.2',plain,[-(ssList(99 ^ []))],extension(6)).
% 146.14/142.09  cnf('1.1.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(12,bind([[_56683, _56728], [99 ^ [], 101 ^ []]]))).
% 146.14/142.09  cnf('1.1.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(8)).
% 146.14/142.09  cnf('1.1.1.2',plain,[-(neq(nil, 99 ^ [])), -(69 ^ [99 ^ [], nil]), -(nil = 99 ^ [])],extension(4,bind([[_82091, _82186], [nil, 99 ^ []]]))).
% 146.14/142.09  cnf('1.1.1.2.1',plain,[69 ^ [99 ^ [], nil], ssList(nil), ssList(99 ^ [])],extension(15,bind([[_82091, _82186], [nil, 99 ^ []]]))).
% 146.14/142.09  cnf('1.1.1.2.1.1',plain,[-(ssList(nil))],extension(16)).
% 146.14/142.09  cnf('1.1.1.2.1.2',plain,[-(ssList(99 ^ []))],extension(6)).
% 146.14/142.09  cnf('1.1.1.2.2',plain,[nil = 99 ^ [], -(strictorderedP(99 ^ [])), strictorderedP(nil)],extension(14,bind([[_65406, _65357], [99 ^ [], nil]]))).
% 146.14/142.09  cnf('1.1.1.2.2.1',plain,[strictorderedP(99 ^ [])],extension(9)).
% 146.14/142.09  cnf('1.1.1.2.2.2',plain,[-(strictorderedP(nil))],extension(18)).
% 146.14/142.09  cnf('1.1.1.3',plain,[-(99 ^ [] = 99 ^ [])],extension(11,bind([[_56530], [99 ^ []]]))).
% 146.14/142.09  cnf('1.2',plain,[-(106 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])],extension(2)).
% 146.14/142.09  cnf('1.2.1',plain,[cons(103 ^ [], nil) = 101 ^ [], -(strictorderedP(101 ^ [])), strictorderedP(cons(103 ^ [], nil))],extension(14,bind([[_65406, _65357], [101 ^ [], cons(103 ^ [], nil)]]))).
% 146.14/142.09  cnf('1.2.1.1',plain,[strictorderedP(101 ^ []), -(strictorderedP(99 ^ [])), 101 ^ [] = 99 ^ []],extension(14,bind([[_65357, _65406], [101 ^ [], 99 ^ []]]))).
% 146.14/142.09  cnf('1.2.1.1.1',plain,[strictorderedP(99 ^ [])],extension(9)).
% 146.14/142.09  cnf('1.2.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(12,bind([[_56683, _56728], [99 ^ [], 101 ^ []]]))).
% 146.14/142.09  cnf('1.2.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(8)).
% 146.14/142.09  cnf('1.2.1.2',plain,[-(strictorderedP(cons(103 ^ [], nil))), ssItem(103 ^ [])],extension(17,bind([[_104216], [103 ^ []]]))).
% 146.14/142.09  cnf('1.2.1.2.1',plain,[-(ssItem(103 ^ [])), -(106 ^ [])],extension(3)).
% 146.14/142.09  cnf('1.2.1.2.1.1',plain,[106 ^ []],reduction('1')).
% 146.14/142.09  %-----------------------------------------------------
% 146.23/142.09  
% 146.23/142.09  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------