TSTP Solution File: SWC258+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC258+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n016.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 21:10:04 EDT 2022

% Result   : Theorem 146.19s 141.45s
% Output   : Proof 146.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC258+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n016.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  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 11:17:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 146.19/141.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 146.19/141.46  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 146.19/141.46  
% 146.19/141.46  %-----------------------------------------------------
% 146.19/141.46  fof(co1, conjecture, ! [_171117] : (ssList(_171117) => ! [_171132] : (ssList(_171132) => ! [_171147] : (ssList(_171147) => ! [_171162] : (ssList(_171162) => (! _171132) = _171162 | (! _171117) = _171147 | totalorderedP(_171117) | ! [_171200] : (ssItem(_171200) => (! cons(_171200, nil)) = _171147 | ~ memberP(_171162, _171200) | ? [_171242] : (ssItem(_171242) & (! _171200) = _171242 & memberP(_171162, _171242) & leq(_171242, _171200))) & ((! nil) = _171162 | (! nil) = _171147))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 146.19/141.46  fof(ax15, axiom, ! [_171864] : (ssList(_171864) => ! [_171879] : (ssList(_171879) => (neq(_171864, _171879) <=> (! _171864) = _171879))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax15)).
% 146.19/141.46  fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax17)).
% 146.19/141.46  fof(ax65, axiom, ! [_172426] : (ssItem(_172426) => totalorderedP(cons(_172426, nil))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax65)).
% 146.19/141.46  fof(ax66, axiom, totalorderedP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax66)).
% 146.19/141.46  
% 146.19/141.46  cnf(1, plain, [-(105 ^ []), -(nil = 101 ^ [])], clausify(co1)).
% 146.19/141.46  cnf(2, plain, [-(104 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])], clausify(co1)).
% 146.19/141.46  cnf(3, plain, [-(104 ^ []), -(ssItem(103 ^ []))], clausify(co1)).
% 146.19/141.46  cnf(4, plain, [-(69 ^ [_81655, _81560]), -(neq(_81560, _81655)), -(_81560 = _81655)], clausify(ax15)).
% 146.19/141.46  cnf(5, plain, [-(69 ^ [_81655, _81560]), neq(_81560, _81655), _81560 = _81655], clausify(ax15)).
% 146.19/141.46  cnf(6, plain, [-(ssList(99 ^ []))], clausify(co1)).
% 146.19/141.46  cnf(7, plain, [-(ssList(101 ^ []))], clausify(co1)).
% 146.19/141.46  cnf(8, plain, [-(99 ^ [] = 101 ^ [])], clausify(co1)).
% 146.19/141.46  cnf(9, plain, [totalorderedP(99 ^ [])], clausify(co1)).
% 146.19/141.46  cnf(10, plain, [105 ^ [], 104 ^ []], clausify(co1)).
% 146.19/141.46  cnf(11, plain, [-(_55999 = _55999)], theory(equality)).
% 146.19/141.46  cnf(12, plain, [_56152 = _56197, -(_56197 = _56152)], theory(equality)).
% 146.19/141.46  cnf(13, plain, [-(neq(_61705, _61836)), neq(_61638, _61771), _61638 = _61705, _61771 = _61836], theory(equality)).
% 146.19/141.46  cnf(14, plain, [-(totalorderedP(_65523)), _65474 = _65523, totalorderedP(_65474)], theory(equality)).
% 146.19/141.46  cnf(15, plain, [ssList(_81560), ssList(_81655), 69 ^ [_81655, _81560]], clausify(ax15)).
% 146.19/141.46  cnf(16, plain, [-(ssList(nil))], clausify(ax17)).
% 146.19/141.46  cnf(17, plain, [ssItem(_102597), -(totalorderedP(cons(_102597, nil)))], clausify(ax65)).
% 146.19/141.46  cnf(18, plain, [-(totalorderedP(nil))], clausify(ax66)).
% 146.19/141.46  
% 146.19/141.46  cnf('1',plain,[105 ^ [], 104 ^ []],start(10)).
% 146.19/141.46  cnf('1.1',plain,[-(105 ^ []), -(nil = 101 ^ [])],extension(1)).
% 146.19/141.46  cnf('1.1.1',plain,[nil = 101 ^ [], -(neq(101 ^ [], 99 ^ [])), neq(nil, 99 ^ []), 99 ^ [] = 99 ^ []],extension(13,bind([[_61705, _61638, _61771, _61836], [101 ^ [], nil, 99 ^ [], 99 ^ []]]))).
% 146.19/141.46  cnf('1.1.1.1',plain,[neq(101 ^ [], 99 ^ []), -(69 ^ [99 ^ [], 101 ^ []]), 101 ^ [] = 99 ^ []],extension(5,bind([[_81560, _81655], [101 ^ [], 99 ^ []]]))).
% 146.19/141.46  cnf('1.1.1.1.1',plain,[69 ^ [99 ^ [], 101 ^ []], ssList(101 ^ []), ssList(99 ^ [])],extension(15,bind([[_81560, _81655], [101 ^ [], 99 ^ []]]))).
% 146.19/141.46  cnf('1.1.1.1.1.1',plain,[-(ssList(101 ^ []))],extension(7)).
% 146.19/141.46  cnf('1.1.1.1.1.2',plain,[-(ssList(99 ^ []))],extension(6)).
% 146.19/141.46  cnf('1.1.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(12,bind([[_56152, _56197], [99 ^ [], 101 ^ []]]))).
% 146.19/141.46  cnf('1.1.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(8)).
% 146.19/141.46  cnf('1.1.1.2',plain,[-(neq(nil, 99 ^ [])), -(69 ^ [99 ^ [], nil]), -(nil = 99 ^ [])],extension(4,bind([[_81560, _81655], [nil, 99 ^ []]]))).
% 146.19/141.46  cnf('1.1.1.2.1',plain,[69 ^ [99 ^ [], nil], ssList(nil), ssList(99 ^ [])],extension(15,bind([[_81560, _81655], [nil, 99 ^ []]]))).
% 146.19/141.46  cnf('1.1.1.2.1.1',plain,[-(ssList(nil))],extension(16)).
% 146.19/141.46  cnf('1.1.1.2.1.2',plain,[-(ssList(99 ^ []))],extension(6)).
% 146.19/141.46  cnf('1.1.1.2.2',plain,[nil = 99 ^ [], -(totalorderedP(99 ^ [])), totalorderedP(nil)],extension(14,bind([[_65523, _65474], [99 ^ [], nil]]))).
% 146.19/141.46  cnf('1.1.1.2.2.1',plain,[totalorderedP(99 ^ [])],extension(9)).
% 146.19/141.46  cnf('1.1.1.2.2.2',plain,[-(totalorderedP(nil))],extension(18)).
% 146.19/141.46  cnf('1.1.1.3',plain,[-(99 ^ [] = 99 ^ [])],extension(11,bind([[_55999], [99 ^ []]]))).
% 146.19/141.46  cnf('1.2',plain,[-(104 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])],extension(2)).
% 146.19/141.46  cnf('1.2.1',plain,[cons(103 ^ [], nil) = 101 ^ [], -(totalorderedP(101 ^ [])), totalorderedP(cons(103 ^ [], nil))],extension(14,bind([[_65523, _65474], [101 ^ [], cons(103 ^ [], nil)]]))).
% 146.19/141.46  cnf('1.2.1.1',plain,[totalorderedP(101 ^ []), -(totalorderedP(99 ^ [])), 101 ^ [] = 99 ^ []],extension(14,bind([[_65474, _65523], [101 ^ [], 99 ^ []]]))).
% 146.19/141.46  cnf('1.2.1.1.1',plain,[totalorderedP(99 ^ [])],extension(9)).
% 146.19/141.46  cnf('1.2.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(12,bind([[_56152, _56197], [99 ^ [], 101 ^ []]]))).
% 146.19/141.46  cnf('1.2.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(8)).
% 146.19/141.46  cnf('1.2.1.2',plain,[-(totalorderedP(cons(103 ^ [], nil))), ssItem(103 ^ [])],extension(17,bind([[_102597], [103 ^ []]]))).
% 146.19/141.46  cnf('1.2.1.2.1',plain,[-(ssItem(103 ^ [])), -(104 ^ [])],extension(3)).
% 146.19/141.46  cnf('1.2.1.2.1.1',plain,[104 ^ []],reduction('1')).
% 146.19/141.46  %-----------------------------------------------------
% 146.19/141.47  
% 146.19/141.47  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------