TSTP Solution File: SWC408+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC408+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 21:10:50 EDT 2022

% Result   : Theorem 124.00s 119.61s
% Output   : Proof 124.00s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWC408+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n016.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 16:09:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 124.00/119.61  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 124.00/119.61  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 124.00/119.62  
% 124.00/119.62  %-----------------------------------------------------
% 124.00/119.62  fof(co1, conjecture, ! [_173297] : (ssList(_173297) => ! [_173312] : (ssList(_173312) => ! [_173327] : (ssList(_173327) => ! [_173342] : (ssList(_173342) => (! app(_173342, _173342)) = _173327 | (! _173312) = _173342 | (! _173297) = _173327 | ! [_173388] : (ssItem(_173388) => ~ memberP(_173312, _173388) | memberP(_173297, _173388)))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 124.00/119.62  fof(ax36, axiom, ! [_174029] : (ssItem(_174029) => ! [_174044] : (ssList(_174044) => ! [_174059] : (ssList(_174059) => (memberP(app(_174044, _174059), _174029) <=> memberP(_174044, _174029) | memberP(_174059, _174029))))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax36)).
% 124.00/119.62  
% 124.00/119.62  cnf(1, plain, [-(ssList(49 ^ []))], clausify(co1)).
% 124.00/119.62  cnf(2, plain, [-(app(51 ^ [], 51 ^ []) = 50 ^ [])], clausify(co1)).
% 124.00/119.62  cnf(3, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)).
% 124.00/119.62  cnf(4, plain, [-(48 ^ [] = 50 ^ [])], clausify(co1)).
% 124.00/119.62  cnf(5, plain, [-(ssItem(52 ^ []))], clausify(co1)).
% 124.00/119.62  cnf(6, plain, [-(memberP(49 ^ [], 52 ^ []))], clausify(co1)).
% 124.00/119.62  cnf(7, plain, [memberP(48 ^ [], 52 ^ [])], clausify(co1)).
% 124.00/119.62  cnf(8, plain, [-(app(_65440, _65573) = app(_65507, _65638)), _65440 = _65507, _65573 = _65638], theory(equality)).
% 124.00/119.62  cnf(9, plain, [-(_55351 = _55351)], theory(equality)).
% 124.00/119.62  cnf(10, plain, [_55504 = _55549, -(_55549 = _55504)], theory(equality)).
% 124.00/119.62  cnf(11, plain, [-(_55783 = _55894), _55783 = _55839, _55839 = _55894], theory(equality)).
% 124.00/119.62  cnf(12, plain, [-(memberP(_60433, _60564)), memberP(_60366, _60499), _60366 = _60433, _60499 = _60564], theory(equality)).
% 124.00/119.62  cnf(13, plain, [ssItem(_90298), ssList(_90410), ssList(_90516), -(memberP(app(_90410, _90516), _90298)), memberP(_90410, _90298)], clausify(ax36)).
% 124.00/119.62  
% 124.00/119.62  cnf('1',plain,[memberP(48 ^ [], 52 ^ [])],start(7)).
% 124.00/119.62  cnf('1.1',plain,[-(memberP(48 ^ [], 52 ^ [])), memberP(app(51 ^ [], 51 ^ []), 52 ^ []), app(51 ^ [], 51 ^ []) = 48 ^ [], 52 ^ [] = 52 ^ []],extension(12,bind([[_60366, _60433, _60499, _60564], [app(51 ^ [], 51 ^ []), 48 ^ [], 52 ^ [], 52 ^ []]]))).
% 124.00/119.62  cnf('1.1.1',plain,[-(memberP(app(51 ^ [], 51 ^ []), 52 ^ [])), memberP(app(49 ^ [], 49 ^ []), 52 ^ []), app(49 ^ [], 49 ^ []) = app(51 ^ [], 51 ^ []), 52 ^ [] = 52 ^ []],extension(12,bind([[_60366, _60433, _60499, _60564], [app(49 ^ [], 49 ^ []), app(51 ^ [], 51 ^ []), 52 ^ [], 52 ^ []]]))).
% 124.00/119.62  cnf('1.1.1.1',plain,[-(memberP(app(49 ^ [], 49 ^ []), 52 ^ [])), ssItem(52 ^ []), ssList(49 ^ []), ssList(49 ^ []), memberP(49 ^ [], 52 ^ [])],extension(13,bind([[_90516, _90410, _90298], [49 ^ [], 49 ^ [], 52 ^ []]]))).
% 124.00/119.62  cnf('1.1.1.1.1',plain,[-(ssItem(52 ^ []))],extension(5)).
% 124.00/119.62  cnf('1.1.1.1.2',plain,[-(ssList(49 ^ []))],extension(1)).
% 124.00/119.62  cnf('1.1.1.1.3',plain,[-(ssList(49 ^ []))],extension(1)).
% 124.00/119.62  cnf('1.1.1.1.4',plain,[-(memberP(49 ^ [], 52 ^ []))],extension(6)).
% 124.00/119.62  cnf('1.1.1.2',plain,[-(app(49 ^ [], 49 ^ []) = app(51 ^ [], 51 ^ [])), 49 ^ [] = 51 ^ [], 49 ^ [] = 51 ^ []],extension(8,bind([[_65440, _65507, _65573, _65638], [49 ^ [], 51 ^ [], 49 ^ [], 51 ^ []]]))).
% 124.00/119.62  cnf('1.1.1.2.1',plain,[-(49 ^ [] = 51 ^ [])],extension(3)).
% 124.00/119.62  cnf('1.1.1.2.2',plain,[-(49 ^ [] = 51 ^ [])],extension(3)).
% 124.00/119.62  cnf('1.1.1.3',plain,[-(52 ^ [] = 52 ^ [])],extension(9,bind([[_55351], [52 ^ []]]))).
% 124.00/119.62  cnf('1.1.2',plain,[-(app(51 ^ [], 51 ^ []) = 48 ^ []), app(51 ^ [], 51 ^ []) = 50 ^ [], 50 ^ [] = 48 ^ []],extension(11,bind([[_55783, _55839, _55894], [app(51 ^ [], 51 ^ []), 50 ^ [], 48 ^ []]]))).
% 124.00/119.62  cnf('1.1.2.1',plain,[-(app(51 ^ [], 51 ^ []) = 50 ^ [])],extension(2)).
% 124.00/119.62  cnf('1.1.2.2',plain,[-(50 ^ [] = 48 ^ []), 48 ^ [] = 50 ^ []],extension(10,bind([[_55504, _55549], [48 ^ [], 50 ^ []]]))).
% 124.00/119.62  cnf('1.1.2.2.1',plain,[-(48 ^ [] = 50 ^ [])],extension(4)).
% 124.00/119.62  cnf('1.1.3',plain,[-(52 ^ [] = 52 ^ [])],extension(9,bind([[_55351], [52 ^ []]]))).
% 124.00/119.62  %-----------------------------------------------------
% 124.00/119.63  
% 124.00/119.63  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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