TSTP Solution File: SWC406+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC406+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 21:10:49 EDT 2022

% Result   : Theorem 6.43s 6.58s
% Output   : Proof 6.43s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWC406+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.12  % 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 20:24:28 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 6.43/6.58  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.43/6.58  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.43/6.59  
% 6.43/6.59  %-----------------------------------------------------
% 6.43/6.59  fof(co1, conjecture, ! [_178850] : (ssList(_178850) => ! [_178865] : (ssList(_178865) => ! [_178880] : (ssList(_178880) => ! [_178895] : (ssList(_178895) => (! _178865) = _178895 | (! _178850) = _178880 | ? [_178926] : (ssItem(_178926) & (~ memberP(_178880, _178926) & ! [_178953] : (ssItem(_178953) => ~ memberP(_178895, _178953) | ~ leq(_178953, _178926) | _178926 = _178953) & memberP(_178895, _178926) | memberP(_178880, _178926) & (~ memberP(_178895, _178926) | ? [_178953] : (ssItem(_178953) & (! _178926) = _178953 & memberP(_178895, _178953) & leq(_178953, _178926))))) | ! [_179072] : (ssItem(_179072) => ~ memberP(_178850, _179072) | memberP(_178865, _179072)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 6.43/6.59  fof(ax31, axiom, ! [_180005] : (ssItem(_180005) => leq(_180005, _180005)), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax31)).
% 6.43/6.59  
% 6.43/6.59  cnf(1, plain, [-(54 ^ [_148800]), ssItem(_148870), -(_148800 = _148870), memberP(51 ^ [], _148870), leq(_148870, _148800)], clausify(co1)).
% 6.43/6.59  cnf(2, plain, [-(54 ^ [_148800]), -(memberP(51 ^ [], _148800))], clausify(co1)).
% 6.43/6.59  cnf(3, plain, [-(55 ^ [_148800]), memberP(50 ^ [], _148800), 54 ^ [_148800]], clausify(co1)).
% 6.43/6.59  cnf(4, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)).
% 6.43/6.59  cnf(5, plain, [-(48 ^ [] = 50 ^ [])], clausify(co1)).
% 6.43/6.59  cnf(6, plain, [-(ssItem(56 ^ []))], clausify(co1)).
% 6.43/6.59  cnf(7, plain, [-(memberP(48 ^ [], 56 ^ []))], clausify(co1)).
% 6.43/6.59  cnf(8, plain, [memberP(49 ^ [], 56 ^ [])], clausify(co1)).
% 6.43/6.59  cnf(9, plain, [ssItem(_148800), 55 ^ [_148800]], clausify(co1)).
% 6.43/6.59  cnf(10, plain, [-(_56529 = _56529)], theory(equality)).
% 6.43/6.59  cnf(11, plain, [_56682 = _56727, -(_56727 = _56682)], theory(equality)).
% 6.43/6.59  cnf(12, plain, [-(leq(_60363, _60494)), leq(_60296, _60429), _60296 = _60363, _60429 = _60494], theory(equality)).
% 6.43/6.59  cnf(13, plain, [-(memberP(_61611, _61742)), memberP(_61544, _61677), _61544 = _61611, _61677 = _61742], theory(equality)).
% 6.43/6.59  cnf(14, plain, [ssItem(_89275), -(leq(_89275, _89275))], clausify(ax31)).
% 6.43/6.59  
% 6.43/6.59  cnf('1',plain,[ssItem(56 ^ []), 55 ^ [56 ^ []]],start(9,bind([[_148800], [56 ^ []]]))).
% 6.43/6.59  cnf('1.1',plain,[-(ssItem(56 ^ []))],extension(6)).
% 6.43/6.59  cnf('1.2',plain,[-(55 ^ [56 ^ []]), memberP(50 ^ [], 56 ^ []), 54 ^ [56 ^ []]],extension(3,bind([[_148800], [56 ^ []]]))).
% 6.43/6.59  cnf('1.2.1',plain,[-(memberP(50 ^ [], 56 ^ [])), memberP(48 ^ [], 56 ^ []), 48 ^ [] = 50 ^ [], 56 ^ [] = 56 ^ []],extension(13,bind([[_61544, _61611, _61677, _61742], [48 ^ [], 50 ^ [], 56 ^ [], 56 ^ []]]))).
% 6.43/6.59  cnf('1.2.1.1',plain,[-(memberP(48 ^ [], 56 ^ []))],extension(7)).
% 6.43/6.59  cnf('1.2.1.2',plain,[-(48 ^ [] = 50 ^ [])],extension(5)).
% 6.43/6.59  cnf('1.2.1.3',plain,[-(56 ^ [] = 56 ^ [])],extension(10,bind([[_56529], [56 ^ []]]))).
% 6.43/6.59  cnf('1.2.2',plain,[-(54 ^ [56 ^ []]), ssItem(56 ^ []), -(56 ^ [] = 56 ^ []), memberP(51 ^ [], 56 ^ []), leq(56 ^ [], 56 ^ [])],extension(1,bind([[_148870, _148800], [56 ^ [], 56 ^ []]]))).
% 6.43/6.59  cnf('1.2.2.1',plain,[-(ssItem(56 ^ []))],extension(6)).
% 6.43/6.59  cnf('1.2.2.2',plain,[56 ^ [] = 56 ^ [], -(memberP(49 ^ [], 56 ^ [])), memberP(51 ^ [], 56 ^ []), 51 ^ [] = 49 ^ []],extension(13,bind([[_61742, _61677, _61544, _61611], [56 ^ [], 56 ^ [], 51 ^ [], 49 ^ []]]))).
% 6.43/6.59  cnf('1.2.2.2.1',plain,[memberP(49 ^ [], 56 ^ [])],extension(8)).
% 6.43/6.59  cnf('1.2.2.2.2',plain,[-(memberP(51 ^ [], 56 ^ [])), -(54 ^ [56 ^ []])],extension(2,bind([[_148800], [56 ^ []]]))).
% 6.43/6.59  cnf('1.2.2.2.2.1',plain,[54 ^ [56 ^ []]],reduction('1.2')).
% 6.43/6.59  cnf('1.2.2.2.3',plain,[-(51 ^ [] = 49 ^ []), 49 ^ [] = 51 ^ []],extension(11,bind([[_56682, _56727], [49 ^ [], 51 ^ []]]))).
% 6.43/6.59  cnf('1.2.2.2.3.1',plain,[-(49 ^ [] = 51 ^ [])],extension(4)).
% 6.43/6.59  cnf('1.2.2.3',plain,[-(memberP(51 ^ [], 56 ^ [])), -(54 ^ [56 ^ []])],extension(2,bind([[_148800], [56 ^ []]]))).
% 6.43/6.59  cnf('1.2.2.3.1',plain,[54 ^ [56 ^ []]],reduction('1.2')).
% 6.43/6.59  cnf('1.2.2.4',plain,[-(leq(56 ^ [], 56 ^ [])), leq(56 ^ [], 56 ^ []), 56 ^ [] = 56 ^ [], 56 ^ [] = 56 ^ []],extension(12,bind([[_60296, _60363, _60429, _60494], [56 ^ [], 56 ^ [], 56 ^ [], 56 ^ []]]))).
% 6.43/6.59  cnf('1.2.2.4.1',plain,[-(leq(56 ^ [], 56 ^ [])), ssItem(56 ^ [])],extension(14,bind([[_89275], [56 ^ []]]))).
% 6.43/6.59  cnf('1.2.2.4.1.1',plain,[-(ssItem(56 ^ []))],extension(6)).
% 6.43/6.59  cnf('1.2.2.4.2',plain,[-(56 ^ [] = 56 ^ [])],extension(10,bind([[_56529], [56 ^ []]]))).
% 6.43/6.59  cnf('1.2.2.4.3',plain,[-(56 ^ [] = 56 ^ [])],extension(10,bind([[_56529], [56 ^ []]]))).
% 6.43/6.59  %-----------------------------------------------------
% 6.43/6.59  
% 6.43/6.60  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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