%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SWC259+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n032.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 21:10:05 EDT 2022
% Result : Theorem 145.94s 141.76s
% Output : Proof 145.94s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWC259+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.11 % Command : leancop_casc.sh %s %d
% 0.11/0.31 % Computer : n032.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 600
% 0.11/0.31 % DateTime : Sun Jun 12 00:03:10 EDT 2022
% 0.11/0.31 % CPUTime :
% 145.94/141.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 145.94/141.76 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 145.94/141.77
% 145.94/141.77 %-----------------------------------------------------
% 145.94/141.77 fof(co1, conjecture, ! [_173187] : (ssList(_173187) => ! [_173202] : (ssList(_173202) => ! [_173217] : (ssList(_173217) => ! [_173232] : (~ ssList(_173232) | (! _173202) = _173232 | (! _173187) = _173217 | totalorderedP(_173187) | ! [_173272] : (ssItem(_173272) => ! [_173287] : (ssList(_173287) => ! [_173302] : (~ ssList(_173302) | (! cons(_173272, nil)) = _173217 | (! app(app(_173287, _173217), _173302)) = _173232 | ? [_173356] : (ssItem(_173356) & memberP(_173287, _173356) & lt(_173272, _173356)) | ? [_173391] : (ssItem(_173391) & memberP(_173302, _173391) & lt(_173391, _173272))))) & ((! nil) = _173232 | (! nil) = _173217))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 145.94/141.77 fof(ax15, axiom, ! [_174157] : (ssList(_174157) => ! [_174172] : (ssList(_174172) => (neq(_174157, _174172) <=> (! _174157) = _174172))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax15)).
% 145.94/141.77 fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax17)).
% 145.94/141.77 fof(ax65, axiom, ! [_174719] : (ssItem(_174719) => totalorderedP(cons(_174719, nil))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax65)).
% 145.94/141.77 fof(ax66, axiom, totalorderedP(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax66)).
% 145.94/141.77
% 145.94/141.77 cnf(1, plain, [-(107 ^ []), -(nil = 101 ^ [])], clausify(co1)).
% 145.94/141.77 cnf(2, plain, [-(106 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])], clausify(co1)).
% 145.94/141.77 cnf(3, plain, [-(106 ^ []), -(ssItem(103 ^ []))], clausify(co1)).
% 145.94/141.77 cnf(4, plain, [-(69 ^ [_82164, _82069]), -(neq(_82069, _82164)), -(_82069 = _82164)], clausify(ax15)).
% 145.94/141.77 cnf(5, plain, [-(69 ^ [_82164, _82069]), neq(_82069, _82164), _82069 = _82164], clausify(ax15)).
% 145.94/141.77 cnf(6, plain, [-(ssList(99 ^ []))], clausify(co1)).
% 145.94/141.77 cnf(7, plain, [-(ssList(101 ^ []))], clausify(co1)).
% 145.94/141.77 cnf(8, plain, [-(99 ^ [] = 101 ^ [])], clausify(co1)).
% 145.94/141.77 cnf(9, plain, [totalorderedP(99 ^ [])], clausify(co1)).
% 145.94/141.77 cnf(10, plain, [107 ^ [], 106 ^ []], clausify(co1)).
% 145.94/141.77 cnf(11, plain, [-(_56508 = _56508)], theory(equality)).
% 145.94/141.77 cnf(12, plain, [_56661 = _56706, -(_56706 = _56661)], theory(equality)).
% 145.94/141.77 cnf(13, plain, [-(neq(_62214, _62345)), neq(_62147, _62280), _62147 = _62214, _62280 = _62345], theory(equality)).
% 145.94/141.77 cnf(14, plain, [-(totalorderedP(_66032)), _65983 = _66032, totalorderedP(_65983)], theory(equality)).
% 145.94/141.77 cnf(15, plain, [ssList(_82069), ssList(_82164), 69 ^ [_82164, _82069]], clausify(ax15)).
% 145.94/141.77 cnf(16, plain, [-(ssList(nil))], clausify(ax17)).
% 145.94/141.77 cnf(17, plain, [ssItem(_103106), -(totalorderedP(cons(_103106, nil)))], clausify(ax65)).
% 145.94/141.77 cnf(18, plain, [-(totalorderedP(nil))], clausify(ax66)).
% 145.94/141.77
% 145.94/141.77 cnf('1',plain,[107 ^ [], 106 ^ []],start(10)).
% 145.94/141.77 cnf('1.1',plain,[-(107 ^ []), -(nil = 101 ^ [])],extension(1)).
% 145.94/141.77 cnf('1.1.1',plain,[nil = 101 ^ [], -(neq(101 ^ [], 99 ^ [])), neq(nil, 99 ^ []), 99 ^ [] = 99 ^ []],extension(13,bind([[_62214, _62147, _62280, _62345], [101 ^ [], nil, 99 ^ [], 99 ^ []]]))).
% 145.94/141.77 cnf('1.1.1.1',plain,[neq(101 ^ [], 99 ^ []), -(69 ^ [99 ^ [], 101 ^ []]), 101 ^ [] = 99 ^ []],extension(5,bind([[_82069, _82164], [101 ^ [], 99 ^ []]]))).
% 145.94/141.77 cnf('1.1.1.1.1',plain,[69 ^ [99 ^ [], 101 ^ []], ssList(101 ^ []), ssList(99 ^ [])],extension(15,bind([[_82069, _82164], [101 ^ [], 99 ^ []]]))).
% 145.94/141.77 cnf('1.1.1.1.1.1',plain,[-(ssList(101 ^ []))],extension(7)).
% 145.94/141.77 cnf('1.1.1.1.1.2',plain,[-(ssList(99 ^ []))],extension(6)).
% 145.94/141.77 cnf('1.1.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(12,bind([[_56661, _56706], [99 ^ [], 101 ^ []]]))).
% 145.94/141.77 cnf('1.1.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(8)).
% 145.94/141.77 cnf('1.1.1.2',plain,[-(neq(nil, 99 ^ [])), -(69 ^ [99 ^ [], nil]), -(nil = 99 ^ [])],extension(4,bind([[_82069, _82164], [nil, 99 ^ []]]))).
% 145.94/141.77 cnf('1.1.1.2.1',plain,[69 ^ [99 ^ [], nil], ssList(nil), ssList(99 ^ [])],extension(15,bind([[_82069, _82164], [nil, 99 ^ []]]))).
% 145.94/141.77 cnf('1.1.1.2.1.1',plain,[-(ssList(nil))],extension(16)).
% 145.94/141.77 cnf('1.1.1.2.1.2',plain,[-(ssList(99 ^ []))],extension(6)).
% 145.94/141.77 cnf('1.1.1.2.2',plain,[nil = 99 ^ [], -(totalorderedP(99 ^ [])), totalorderedP(nil)],extension(14,bind([[_66032, _65983], [99 ^ [], nil]]))).
% 145.94/141.77 cnf('1.1.1.2.2.1',plain,[totalorderedP(99 ^ [])],extension(9)).
% 145.94/141.77 cnf('1.1.1.2.2.2',plain,[-(totalorderedP(nil))],extension(18)).
% 145.94/141.77 cnf('1.1.1.3',plain,[-(99 ^ [] = 99 ^ [])],extension(11,bind([[_56508], [99 ^ []]]))).
% 145.94/141.77 cnf('1.2',plain,[-(106 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])],extension(2)).
% 145.94/141.77 cnf('1.2.1',plain,[cons(103 ^ [], nil) = 101 ^ [], -(totalorderedP(101 ^ [])), totalorderedP(cons(103 ^ [], nil))],extension(14,bind([[_66032, _65983], [101 ^ [], cons(103 ^ [], nil)]]))).
% 145.94/141.77 cnf('1.2.1.1',plain,[totalorderedP(101 ^ []), -(totalorderedP(99 ^ [])), 101 ^ [] = 99 ^ []],extension(14,bind([[_65983, _66032], [101 ^ [], 99 ^ []]]))).
% 145.94/141.77 cnf('1.2.1.1.1',plain,[totalorderedP(99 ^ [])],extension(9)).
% 145.94/141.77 cnf('1.2.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(12,bind([[_56661, _56706], [99 ^ [], 101 ^ []]]))).
% 145.94/141.77 cnf('1.2.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(8)).
% 145.94/141.77 cnf('1.2.1.2',plain,[-(totalorderedP(cons(103 ^ [], nil))), ssItem(103 ^ [])],extension(17,bind([[_103106], [103 ^ []]]))).
% 145.94/141.77 cnf('1.2.1.2.1',plain,[-(ssItem(103 ^ [])), -(106 ^ [])],extension(3)).
% 145.94/141.77 cnf('1.2.1.2.1.1',plain,[106 ^ []],reduction('1')).
% 145.94/141.77 %-----------------------------------------------------
% 145.94/141.77
% 145.94/141.77 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
%------------------------------------------------------------------------------