TSTP Solution File: SWC086+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC086+1 : TPTP v8.1.0. Released v2.4.0.
% 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 : Tue Jul 19 21:09:12 EDT 2022

% Result   : Theorem 169.30s 163.65s
% Output   : Proof 169.38s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC086+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.12  % Command  : leancop_casc.sh %s %d
% 0.11/0.33  % Computer : n022.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 600
% 0.11/0.33  % DateTime : Sun Jun 12 05:33:49 EDT 2022
% 0.11/0.33  % CPUTime  : 
% 169.30/163.65  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 169.38/163.65  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 169.38/163.66  
% 169.38/163.66  %-----------------------------------------------------
% 169.38/163.66  fof(co1, conjecture, ! [_171241] : (ssList(_171241) => ! [_171256] : (ssList(_171256) => ! [_171271] : (ssList(_171271) => ! [_171286] : (ssList(_171286) => (! _171256) = _171286 | (! _171241) = _171271 | ~ neq(_171256, nil) | ? [_171329] : (ssList(_171329) & neq(_171329, nil) & segmentP(_171256, _171329) & segmentP(_171241, _171329)) | ((! nil) = _171286 | (! nil) = _171271) & (~ neq(_171271, nil) | ~ segmentP(_171286, _171271)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 169.38/163.66  fof(ax15, axiom, ! [_171945] : (ssList(_171945) => ! [_171960] : (ssList(_171960) => (neq(_171945, _171960) <=> (! _171945) = _171960))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax15)).
% 169.38/163.66  fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax17)).
% 169.38/163.66  fof(ax55, axiom, ! [_172517] : (ssList(_172517) => segmentP(_172517, _172517)), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax55)).
% 169.38/163.66  
% 169.38/163.66  cnf(1, plain, [-(104 ^ []), -(segmentP(102 ^ [], 101 ^ []))], clausify(co1)).
% 169.38/163.66  cnf(2, plain, [-(104 ^ []), -(neq(101 ^ [], nil))], clausify(co1)).
% 169.38/163.66  cnf(3, plain, [-(103 ^ []), -(nil = 101 ^ [])], clausify(co1)).
% 169.38/163.66  cnf(4, plain, [-(103 ^ []), -(nil = 102 ^ [])], clausify(co1)).
% 169.38/163.66  cnf(5, plain, [-(69 ^ [_81469, _81374]), neq(_81374, _81469), _81374 = _81469], clausify(ax15)).
% 169.38/163.66  cnf(6, plain, [-(ssList(99 ^ []))], clausify(co1)).
% 169.38/163.66  cnf(7, plain, [-(ssList(101 ^ []))], clausify(co1)).
% 169.38/163.66  cnf(8, plain, [-(100 ^ [] = 102 ^ [])], clausify(co1)).
% 169.38/163.66  cnf(9, plain, [-(99 ^ [] = 101 ^ [])], clausify(co1)).
% 169.38/163.66  cnf(10, plain, [-(neq(100 ^ [], nil))], clausify(co1)).
% 169.38/163.66  cnf(11, plain, [103 ^ [], 104 ^ []], clausify(co1)).
% 169.38/163.66  cnf(12, plain, [ssList(_136192), neq(_136192, nil), segmentP(100 ^ [], _136192), segmentP(99 ^ [], _136192)], clausify(co1)).
% 169.38/163.66  cnf(13, plain, [-(_55813 = _55813)], theory(equality)).
% 169.38/163.66  cnf(14, plain, [_55966 = _56011, -(_56011 = _55966)], theory(equality)).
% 169.38/163.66  cnf(15, plain, [-(_56245 = _56356), _56245 = _56301, _56301 = _56356], theory(equality)).
% 169.38/163.66  cnf(16, plain, [-(neq(_61519, _61650)), neq(_61452, _61585), _61452 = _61519, _61585 = _61650], theory(equality)).
% 169.38/163.66  cnf(17, plain, [-(segmentP(_62767, _62898)), segmentP(_62700, _62833), _62700 = _62767, _62833 = _62898], theory(equality)).
% 169.38/163.66  cnf(18, plain, [ssList(_81374), ssList(_81469), 69 ^ [_81469, _81374]], clausify(ax15)).
% 169.38/163.66  cnf(19, plain, [-(ssList(nil))], clausify(ax17)).
% 169.38/163.66  cnf(20, plain, [ssList(_99740), -(segmentP(_99740, _99740))], clausify(ax55)).
% 169.38/163.66  
% 169.38/163.66  cnf('1',plain,[103 ^ [], 104 ^ []],start(11)).
% 169.38/163.66  cnf('1.1',plain,[-(103 ^ []), -(nil = 101 ^ [])],extension(3)).
% 169.38/163.66  cnf('1.1.1',plain,[nil = 101 ^ [], -(69 ^ [101 ^ [], nil]), neq(nil, 101 ^ [])],extension(5,bind([[_81374, _81469], [nil, 101 ^ []]]))).
% 169.38/163.66  cnf('1.1.1.1',plain,[69 ^ [101 ^ [], nil], ssList(nil), ssList(101 ^ [])],extension(18,bind([[_81374, _81469], [nil, 101 ^ []]]))).
% 169.38/163.66  cnf('1.1.1.1.1',plain,[-(ssList(nil))],extension(19)).
% 169.38/163.66  cnf('1.1.1.1.2',plain,[-(ssList(101 ^ []))],extension(7)).
% 169.38/163.66  cnf('1.1.1.2',plain,[-(neq(nil, 101 ^ [])), neq(100 ^ [], nil), 100 ^ [] = nil, nil = 101 ^ []],extension(16,bind([[_61452, _61519, _61585, _61650], [100 ^ [], nil, nil, 101 ^ []]]))).
% 169.38/163.66  cnf('1.1.1.2.1',plain,[-(neq(100 ^ [], nil))],extension(10)).
% 169.38/163.66  cnf('1.1.1.2.2',plain,[-(100 ^ [] = nil), 100 ^ [] = 102 ^ [], 102 ^ [] = nil],extension(15,bind([[_56245, _56301, _56356], [100 ^ [], 102 ^ [], nil]]))).
% 169.38/163.66  cnf('1.1.1.2.2.1',plain,[-(100 ^ [] = 102 ^ [])],extension(8)).
% 169.38/163.66  cnf('1.1.1.2.2.2',plain,[-(102 ^ [] = nil), nil = 102 ^ []],extension(14,bind([[_55966, _56011], [nil, 102 ^ []]]))).
% 169.38/163.66  cnf('1.1.1.2.2.2.1',plain,[-(nil = 102 ^ []), -(103 ^ [])],extension(4)).
% 169.38/163.66  cnf('1.1.1.2.2.2.1.1',plain,[103 ^ []],reduction('1')).
% 169.38/163.66  cnf('1.1.1.2.3',plain,[-(nil = 101 ^ [])],reduction('1.1')).
% 169.38/163.66  cnf('1.2',plain,[-(104 ^ []), -(segmentP(102 ^ [], 101 ^ []))],extension(1)).
% 169.38/163.66  cnf('1.2.1',plain,[segmentP(102 ^ [], 101 ^ []), -(segmentP(100 ^ [], 99 ^ [])), 102 ^ [] = 100 ^ [], 101 ^ [] = 99 ^ []],extension(17,bind([[_62700, _62767, _62833, _62898], [102 ^ [], 100 ^ [], 101 ^ [], 99 ^ []]]))).
% 169.38/163.66  cnf('1.2.1.1',plain,[segmentP(100 ^ [], 99 ^ []), ssList(99 ^ []), neq(99 ^ [], nil), segmentP(99 ^ [], 99 ^ [])],extension(12,bind([[_136192], [99 ^ []]]))).
% 169.38/163.66  cnf('1.2.1.1.1',plain,[-(ssList(99 ^ []))],extension(6)).
% 169.38/163.66  cnf('1.2.1.1.2',plain,[-(neq(99 ^ [], nil)), neq(101 ^ [], nil), 101 ^ [] = 99 ^ [], nil = nil],extension(16,bind([[_61452, _61519, _61585, _61650], [101 ^ [], 99 ^ [], nil, nil]]))).
% 169.38/163.66  cnf('1.2.1.1.2.1',plain,[-(neq(101 ^ [], nil)), -(104 ^ [])],extension(2)).
% 169.38/163.66  cnf('1.2.1.1.2.1.1',plain,[104 ^ []],reduction('1')).
% 169.38/163.66  cnf('1.2.1.1.2.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(14,bind([[_55966, _56011], [99 ^ [], 101 ^ []]]))).
% 169.38/163.66  cnf('1.2.1.1.2.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(9)).
% 169.38/163.66  cnf('1.2.1.1.2.3',plain,[-(nil = nil)],extension(13,bind([[_55813], [nil]]))).
% 169.38/163.66  cnf('1.2.1.1.3',plain,[-(segmentP(99 ^ [], 99 ^ [])), ssList(99 ^ [])],extension(20,bind([[_99740], [99 ^ []]]))).
% 169.38/163.66  cnf('1.2.1.1.3.1',plain,[-(ssList(99 ^ []))],extension(6)).
% 169.38/163.66  cnf('1.2.1.2',plain,[-(102 ^ [] = 100 ^ []), 100 ^ [] = 102 ^ []],extension(14,bind([[_55966, _56011], [100 ^ [], 102 ^ []]]))).
% 169.38/163.66  cnf('1.2.1.2.1',plain,[-(100 ^ [] = 102 ^ [])],extension(8)).
% 169.38/163.66  cnf('1.2.1.3',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(14,bind([[_55966, _56011], [99 ^ [], 101 ^ []]]))).
% 169.38/163.66  cnf('1.2.1.3.1',plain,[-(99 ^ [] = 101 ^ [])],extension(9)).
% 169.38/163.66  %-----------------------------------------------------
% 169.38/163.66  
% 169.38/163.67  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------