TSTP Solution File: SWC257+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC257+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n009.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 145.62s 142.02s
% Output   : Proof 145.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC257+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n009.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 08:43:08 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 145.62/142.02  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 145.62/142.02  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 145.62/142.03  
% 145.62/142.03  %-----------------------------------------------------
% 145.62/142.03  fof(co1, conjecture, ! [_171219] : (ssList(_171219) => ! [_171234] : (ssList(_171234) => ! [_171249] : (ssList(_171249) => ! [_171264] : (~ ssList(_171264) | (! _171234) = _171264 | (! _171219) = _171249 | totalorderedP(_171219) | ! [_171304] : (~ ssItem(_171304) | (! cons(_171304, nil)) = _171249 | ~ memberP(_171264, _171304) | ? [_171348] : (ssItem(_171348) & (! _171304) = _171348 & memberP(_171264, _171348) & leq(_171304, _171348))) & ((! nil) = _171264 | (! nil) = _171249))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 145.62/142.03  fof(ax15, axiom, ! [_171980] : (ssList(_171980) => ! [_171995] : (ssList(_171995) => (neq(_171980, _171995) <=> (! _171980) = _171995))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax15)).
% 145.62/142.03  fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax17)).
% 145.62/142.03  fof(ax65, axiom, ! [_172542] : (ssItem(_172542) => totalorderedP(cons(_172542, nil))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax65)).
% 145.62/142.03  fof(ax66, axiom, totalorderedP(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax66)).
% 145.62/142.03  
% 145.62/142.03  cnf(1, plain, [-(105 ^ []), -(nil = 101 ^ [])], clausify(co1)).
% 145.62/142.03  cnf(2, plain, [-(104 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])], clausify(co1)).
% 145.62/142.03  cnf(3, plain, [-(104 ^ []), -(ssItem(103 ^ []))], clausify(co1)).
% 145.62/142.03  cnf(4, plain, [-(69 ^ [_81703, _81608]), -(neq(_81608, _81703)), -(_81608 = _81703)], clausify(ax15)).
% 145.62/142.03  cnf(5, plain, [-(69 ^ [_81703, _81608]), neq(_81608, _81703), _81608 = _81703], clausify(ax15)).
% 145.62/142.03  cnf(6, plain, [-(ssList(99 ^ []))], clausify(co1)).
% 145.62/142.03  cnf(7, plain, [-(ssList(101 ^ []))], clausify(co1)).
% 145.62/142.03  cnf(8, plain, [-(99 ^ [] = 101 ^ [])], clausify(co1)).
% 145.62/142.03  cnf(9, plain, [totalorderedP(99 ^ [])], clausify(co1)).
% 145.62/142.03  cnf(10, plain, [105 ^ [], 104 ^ []], clausify(co1)).
% 145.62/142.03  cnf(11, plain, [-(_56047 = _56047)], theory(equality)).
% 145.62/142.03  cnf(12, plain, [_56200 = _56245, -(_56245 = _56200)], theory(equality)).
% 145.62/142.03  cnf(13, plain, [-(neq(_61753, _61884)), neq(_61686, _61819), _61686 = _61753, _61819 = _61884], theory(equality)).
% 145.62/142.03  cnf(14, plain, [-(totalorderedP(_65571)), _65522 = _65571, totalorderedP(_65522)], theory(equality)).
% 145.62/142.03  cnf(15, plain, [ssList(_81608), ssList(_81703), 69 ^ [_81703, _81608]], clausify(ax15)).
% 145.62/142.03  cnf(16, plain, [-(ssList(nil))], clausify(ax17)).
% 145.62/142.03  cnf(17, plain, [ssItem(_102645), -(totalorderedP(cons(_102645, nil)))], clausify(ax65)).
% 145.62/142.03  cnf(18, plain, [-(totalorderedP(nil))], clausify(ax66)).
% 145.62/142.03  
% 145.62/142.03  cnf('1',plain,[105 ^ [], 104 ^ []],start(10)).
% 145.62/142.03  cnf('1.1',plain,[-(105 ^ []), -(nil = 101 ^ [])],extension(1)).
% 145.62/142.03  cnf('1.1.1',plain,[nil = 101 ^ [], -(neq(101 ^ [], 99 ^ [])), neq(nil, 99 ^ []), 99 ^ [] = 99 ^ []],extension(13,bind([[_61753, _61686, _61819, _61884], [101 ^ [], nil, 99 ^ [], 99 ^ []]]))).
% 145.62/142.03  cnf('1.1.1.1',plain,[neq(101 ^ [], 99 ^ []), -(69 ^ [99 ^ [], 101 ^ []]), 101 ^ [] = 99 ^ []],extension(5,bind([[_81608, _81703], [101 ^ [], 99 ^ []]]))).
% 145.62/142.03  cnf('1.1.1.1.1',plain,[69 ^ [99 ^ [], 101 ^ []], ssList(101 ^ []), ssList(99 ^ [])],extension(15,bind([[_81608, _81703], [101 ^ [], 99 ^ []]]))).
% 145.62/142.03  cnf('1.1.1.1.1.1',plain,[-(ssList(101 ^ []))],extension(7)).
% 145.62/142.03  cnf('1.1.1.1.1.2',plain,[-(ssList(99 ^ []))],extension(6)).
% 145.62/142.03  cnf('1.1.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(12,bind([[_56200, _56245], [99 ^ [], 101 ^ []]]))).
% 145.62/142.03  cnf('1.1.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(8)).
% 145.62/142.03  cnf('1.1.1.2',plain,[-(neq(nil, 99 ^ [])), -(69 ^ [99 ^ [], nil]), -(nil = 99 ^ [])],extension(4,bind([[_81608, _81703], [nil, 99 ^ []]]))).
% 145.62/142.03  cnf('1.1.1.2.1',plain,[69 ^ [99 ^ [], nil], ssList(nil), ssList(99 ^ [])],extension(15,bind([[_81608, _81703], [nil, 99 ^ []]]))).
% 145.62/142.03  cnf('1.1.1.2.1.1',plain,[-(ssList(nil))],extension(16)).
% 145.62/142.03  cnf('1.1.1.2.1.2',plain,[-(ssList(99 ^ []))],extension(6)).
% 145.62/142.03  cnf('1.1.1.2.2',plain,[nil = 99 ^ [], -(totalorderedP(99 ^ [])), totalorderedP(nil)],extension(14,bind([[_65571, _65522], [99 ^ [], nil]]))).
% 145.62/142.03  cnf('1.1.1.2.2.1',plain,[totalorderedP(99 ^ [])],extension(9)).
% 145.62/142.03  cnf('1.1.1.2.2.2',plain,[-(totalorderedP(nil))],extension(18)).
% 145.62/142.03  cnf('1.1.1.3',plain,[-(99 ^ [] = 99 ^ [])],extension(11,bind([[_56047], [99 ^ []]]))).
% 145.62/142.03  cnf('1.2',plain,[-(104 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])],extension(2)).
% 145.62/142.03  cnf('1.2.1',plain,[cons(103 ^ [], nil) = 101 ^ [], -(totalorderedP(101 ^ [])), totalorderedP(cons(103 ^ [], nil))],extension(14,bind([[_65571, _65522], [101 ^ [], cons(103 ^ [], nil)]]))).
% 145.62/142.03  cnf('1.2.1.1',plain,[totalorderedP(101 ^ []), -(totalorderedP(99 ^ [])), 101 ^ [] = 99 ^ []],extension(14,bind([[_65522, _65571], [101 ^ [], 99 ^ []]]))).
% 145.62/142.03  cnf('1.2.1.1.1',plain,[totalorderedP(99 ^ [])],extension(9)).
% 145.62/142.03  cnf('1.2.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(12,bind([[_56200, _56245], [99 ^ [], 101 ^ []]]))).
% 145.62/142.03  cnf('1.2.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(8)).
% 145.62/142.03  cnf('1.2.1.2',plain,[-(totalorderedP(cons(103 ^ [], nil))), ssItem(103 ^ [])],extension(17,bind([[_102645], [103 ^ []]]))).
% 145.62/142.03  cnf('1.2.1.2.1',plain,[-(ssItem(103 ^ [])), -(104 ^ [])],extension(3)).
% 145.62/142.03  cnf('1.2.1.2.1.1',plain,[104 ^ []],reduction('1')).
% 145.62/142.03  %-----------------------------------------------------
% 145.66/142.03  
% 145.66/142.04  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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