TSTP Solution File: SWC256+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC256+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n006.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 8.83s 8.67s
% Output   : Proof 8.83s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWC256+1 : TPTP v8.1.0. Released v2.4.0.
% 0.00/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n006.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 16:05:12 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 8.83/8.67  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.83/8.67  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.83/8.68  
% 8.83/8.68  %-----------------------------------------------------
% 8.83/8.68  fof(co1, conjecture, ! [_176471] : (ssList(_176471) => ! [_176486] : (ssList(_176486) => ! [_176501] : (ssList(_176501) => ! [_176516] : (ssList(_176516) => (! _176486) = _176516 | (! _176471) = _176501 | ~ neq(_176486, nil) | singletonP(_176471) | ! [_176566] : (ssItem(_176566) => (! cons(_176566, nil)) = _176501 | ~ memberP(_176516, _176566)) & ((! nil) = _176516 | (! nil) = _176501))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', co1)).
% 8.83/8.68  fof(ax4, axiom, ! [_177230] : (ssList(_177230) => (singletonP(_177230) <=> ? [_177252] : (ssItem(_177252) & cons(_177252, nil) = _177230))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax4)).
% 8.83/8.68  fof(ax15, axiom, ! [_177510] : (ssList(_177510) => ! [_177525] : (ssList(_177525) => (neq(_177510, _177525) <=> (! _177510) = _177525))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax15)).
% 8.83/8.68  fof(ax16, axiom, ! [_177732] : (ssList(_177732) => ! [_177747] : (ssItem(_177747) => ssList(cons(_177747, _177732)))), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax16)).
% 8.83/8.68  fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax', ax17)).
% 8.83/8.68  
% 8.83/8.68  cnf(1, plain, [-(54 ^ []), -(nil = 51 ^ [])], clausify(co1)).
% 8.83/8.68  cnf(2, plain, [-(53 ^ []), -(cons(52 ^ [], nil) = 50 ^ [])], clausify(co1)).
% 8.83/8.68  cnf(3, plain, [-(53 ^ []), -(ssItem(52 ^ []))], clausify(co1)).
% 8.83/8.68  cnf(4, plain, [-(ssList(48 ^ []))], clausify(co1)).
% 8.83/8.68  cnf(5, plain, [-(ssList(50 ^ []))], clausify(co1)).
% 8.83/8.68  cnf(6, plain, [-(ssList(51 ^ []))], clausify(co1)).
% 8.83/8.68  cnf(7, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)).
% 8.83/8.68  cnf(8, plain, [-(48 ^ [] = 50 ^ [])], clausify(co1)).
% 8.83/8.68  cnf(9, plain, [-(neq(49 ^ [], nil))], clausify(co1)).
% 8.83/8.68  cnf(10, plain, [singletonP(48 ^ [])], clausify(co1)).
% 8.83/8.68  cnf(11, plain, [53 ^ [], 54 ^ []], clausify(co1)).
% 8.83/8.68  cnf(12, plain, [-(_55725 = _55725)], theory(equality)).
% 8.83/8.68  cnf(13, plain, [_55878 = _55923, -(_55923 = _55878)], theory(equality)).
% 8.83/8.68  cnf(14, plain, [-(neq(_61431, _61562)), neq(_61364, _61497), _61364 = _61431, _61497 = _61562], theory(equality)).
% 8.83/8.68  cnf(15, plain, [-(ssList(_63943)), _63894 = _63943, ssList(_63894)], theory(equality)).
% 8.83/8.68  cnf(16, plain, [ssList(_69408), -(singletonP(_69408)), ssItem(_69542), cons(_69542, nil) = _69408], clausify(ax4)).
% 8.83/8.68  cnf(17, plain, [ssList(_81286), ssList(_81381), neq(_81286, _81381), _81286 = _81381], clausify(ax15)).
% 8.83/8.68  cnf(18, plain, [ssList(_81286), ssList(_81381), -(neq(_81286, _81381)), -(_81286 = _81381)], clausify(ax15)).
% 8.83/8.68  cnf(19, plain, [ssList(_81737), ssItem(_81826), -(ssList(cons(_81826, _81737)))], clausify(ax16)).
% 8.83/8.68  cnf(20, plain, [-(ssList(nil))], clausify(ax17)).
% 8.83/8.68  
% 8.83/8.68  cnf('1',plain,[53 ^ [], 54 ^ []],start(11)).
% 8.83/8.68  cnf('1.1',plain,[-(53 ^ []), -(cons(52 ^ [], nil) = 50 ^ [])],extension(2)).
% 8.83/8.68  cnf('1.1.1',plain,[cons(52 ^ [], nil) = 50 ^ [], -(neq(50 ^ [], 48 ^ [])), neq(cons(52 ^ [], nil), 48 ^ []), 48 ^ [] = 48 ^ []],extension(14,bind([[_61431, _61364, _61497, _61562], [50 ^ [], cons(52 ^ [], nil), 48 ^ [], 48 ^ []]]))).
% 8.83/8.68  cnf('1.1.1.1',plain,[neq(50 ^ [], 48 ^ []), ssList(50 ^ []), ssList(48 ^ []), 50 ^ [] = 48 ^ []],extension(17,bind([[_81286, _81381], [50 ^ [], 48 ^ []]]))).
% 8.83/8.68  cnf('1.1.1.1.1',plain,[-(ssList(50 ^ []))],extension(5)).
% 8.83/8.68  cnf('1.1.1.1.2',plain,[-(ssList(48 ^ []))],extension(4)).
% 8.83/8.68  cnf('1.1.1.1.3',plain,[-(50 ^ [] = 48 ^ []), 48 ^ [] = 50 ^ []],extension(13,bind([[_55878, _55923], [48 ^ [], 50 ^ []]]))).
% 8.83/8.68  cnf('1.1.1.1.3.1',plain,[-(48 ^ [] = 50 ^ [])],extension(8)).
% 8.83/8.68  cnf('1.1.1.2',plain,[-(neq(cons(52 ^ [], nil), 48 ^ [])), ssList(cons(52 ^ [], nil)), ssList(48 ^ []), -(cons(52 ^ [], nil) = 48 ^ [])],extension(18,bind([[_81286, _81381], [cons(52 ^ [], nil), 48 ^ []]]))).
% 8.83/8.68  cnf('1.1.1.2.1',plain,[-(ssList(cons(52 ^ [], nil))), ssList(nil), ssItem(52 ^ [])],extension(19,bind([[_81737, _81826], [nil, 52 ^ []]]))).
% 8.83/8.68  cnf('1.1.1.2.1.1',plain,[-(ssList(nil))],extension(20)).
% 8.83/8.68  cnf('1.1.1.2.1.2',plain,[-(ssItem(52 ^ [])), -(53 ^ [])],extension(3)).
% 8.83/8.68  cnf('1.1.1.2.1.2.1',plain,[53 ^ []],reduction('1')).
% 8.83/8.68  cnf('1.1.1.2.2',plain,[-(ssList(48 ^ []))],extension(4)).
% 8.83/8.68  cnf('1.1.1.2.3',plain,[cons(52 ^ [], nil) = 48 ^ [], ssList(48 ^ []), -(singletonP(48 ^ [])), ssItem(52 ^ [])],extension(16,bind([[_69408, _69542], [48 ^ [], 52 ^ []]]))).
% 8.83/8.68  cnf('1.1.1.2.3.1',plain,[-(ssList(48 ^ []))],extension(4)).
% 8.83/8.68  cnf('1.1.1.2.3.2',plain,[singletonP(48 ^ [])],extension(10)).
% 8.83/8.68  cnf('1.1.1.2.3.3',plain,[-(ssItem(52 ^ [])), -(53 ^ [])],extension(3)).
% 8.83/8.68  cnf('1.1.1.2.3.3.1',plain,[53 ^ []],reduction('1')).
% 8.83/8.68  cnf('1.1.1.3',plain,[-(48 ^ [] = 48 ^ [])],extension(12,bind([[_55725], [48 ^ []]]))).
% 8.83/8.68  cnf('1.2',plain,[-(54 ^ []), -(nil = 51 ^ [])],extension(1)).
% 8.83/8.68  cnf('1.2.1',plain,[nil = 51 ^ [], -(ssList(51 ^ [])), ssList(nil)],extension(15,bind([[_63943, _63894], [51 ^ [], nil]]))).
% 8.83/8.68  cnf('1.2.1.1',plain,[ssList(51 ^ []), ssList(51 ^ []), neq(51 ^ [], 51 ^ []), 51 ^ [] = 51 ^ []],extension(17,bind([[_81286, _81381], [51 ^ [], 51 ^ []]]))).
% 8.83/8.68  cnf('1.2.1.1.1',plain,[-(ssList(51 ^ []))],extension(6)).
% 8.83/8.68  cnf('1.2.1.1.2',plain,[-(neq(51 ^ [], 51 ^ [])), neq(49 ^ [], nil), 49 ^ [] = 51 ^ [], nil = 51 ^ []],extension(14,bind([[_61364, _61431, _61497, _61562], [49 ^ [], 51 ^ [], nil, 51 ^ []]]))).
% 8.83/8.68  cnf('1.2.1.1.2.1',plain,[-(neq(49 ^ [], nil))],extension(9)).
% 8.83/8.68  cnf('1.2.1.1.2.2',plain,[-(49 ^ [] = 51 ^ [])],extension(7)).
% 8.83/8.68  cnf('1.2.1.1.2.3',plain,[-(nil = 51 ^ [])],reduction('1.2')).
% 8.83/8.68  cnf('1.2.1.1.3',plain,[-(51 ^ [] = 51 ^ [])],extension(12,bind([[_55725], [51 ^ []]]))).
% 8.83/8.68  cnf('1.2.1.2',plain,[-(ssList(nil))],extension(20)).
% 8.83/8.68  %-----------------------------------------------------
% 8.83/8.68  
% 8.83/8.69  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------