TSTP Solution File: SWC217+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n021.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 21:09:52 EDT 2022

% Result   : Theorem 7.34s 7.62s
% Output   : Proof 7.34s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWC217+1 : TPTP v8.1.0. Released v2.4.0.
% 0.12/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n021.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 : Sat Jun 11 23:17:55 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 7.34/7.62  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.34/7.63  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.34/7.64  
% 7.34/7.64  %-----------------------------------------------------
% 7.34/7.64  fof(co1, conjecture, ! [_174259] : (ssList(_174259) => ! [_174274] : (ssList(_174274) => ! [_174289] : (ssList(_174289) => ! [_174304] : (ssList(_174304) => (! _174274) = _174304 | (! _174259) = _174289 | ~ neq(_174274, nil) | neq(_174259, nil) | (! nil) = _174289 & nil = _174304 | ! [_174371] : (ssItem(_174371) => (! cons(_174371, nil)) = _174289 | ~ memberP(_174304, _174371)) & neq(_174304, nil))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 7.34/7.64  fof(ax4, axiom, ! [_175026] : (ssList(_175026) => (singletonP(_175026) <=> ? [_175048] : (ssItem(_175048) & cons(_175048, nil) = _175026))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax4)).
% 7.34/7.64  fof(ax15, axiom, ! [_175307] : (ssList(_175307) => ! [_175322] : (ssList(_175322) => (neq(_175307, _175322) <=> (! _175307) = _175322))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax15)).
% 7.34/7.64  fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax17)).
% 7.34/7.64  fof(ax39, axiom, ~ singletonP(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax39)).
% 7.34/7.64  
% 7.34/7.64  cnf(1, plain, [-(53 ^ []), -(cons(52 ^ [], nil) = 50 ^ [])], clausify(co1)).
% 7.34/7.64  cnf(2, plain, [-(53 ^ []), -(ssItem(52 ^ []))], clausify(co1)).
% 7.34/7.64  cnf(3, plain, [-(ssList(48 ^ []))], clausify(co1)).
% 7.34/7.64  cnf(4, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)).
% 7.34/7.64  cnf(5, plain, [-(48 ^ [] = 50 ^ [])], clausify(co1)).
% 7.34/7.64  cnf(6, plain, [-(neq(49 ^ [], nil))], clausify(co1)).
% 7.34/7.64  cnf(7, plain, [neq(48 ^ [], nil)], clausify(co1)).
% 7.34/7.64  cnf(8, plain, [53 ^ [], neq(51 ^ [], nil)], clausify(co1)).
% 7.34/7.64  cnf(9, plain, [-(_55750 = _55750)], theory(equality)).
% 7.34/7.64  cnf(10, plain, [_55903 = _55948, -(_55948 = _55903)], theory(equality)).
% 7.34/7.64  cnf(11, plain, [-(_56182 = _56293), _56182 = _56238, _56238 = _56293], theory(equality)).
% 7.34/7.64  cnf(12, plain, [-(neq(_61456, _61587)), neq(_61389, _61522), _61389 = _61456, _61522 = _61587], theory(equality)).
% 7.34/7.64  cnf(13, plain, [-(singletonP(_63310)), _63261 = _63310, singletonP(_63261)], theory(equality)).
% 7.34/7.64  cnf(14, plain, [ssList(_69433), -(singletonP(_69433)), ssItem(_69567), cons(_69567, nil) = _69433], clausify(ax4)).
% 7.34/7.64  cnf(15, plain, [ssList(_81311), ssList(_81406), -(neq(_81311, _81406)), -(_81311 = _81406)], clausify(ax15)).
% 7.34/7.64  cnf(16, plain, [-(ssList(nil))], clausify(ax17)).
% 7.34/7.64  cnf(17, plain, [singletonP(nil)], clausify(ax39)).
% 7.34/7.64  
% 7.34/7.64  cnf('1',plain,[53 ^ [], neq(51 ^ [], nil)],start(8)).
% 7.34/7.64  cnf('1.1',plain,[-(53 ^ []), -(ssItem(52 ^ []))],extension(2)).
% 7.34/7.64  cnf('1.1.1',plain,[ssItem(52 ^ []), ssList(48 ^ []), -(singletonP(48 ^ [])), cons(52 ^ [], nil) = 48 ^ []],extension(14,bind([[_69567, _69433], [52 ^ [], 48 ^ []]]))).
% 7.34/7.64  cnf('1.1.1.1',plain,[-(ssList(48 ^ []))],extension(3)).
% 7.34/7.64  cnf('1.1.1.2',plain,[singletonP(48 ^ []), -(singletonP(nil)), 48 ^ [] = nil],extension(13,bind([[_63261, _63310], [48 ^ [], nil]]))).
% 7.34/7.64  cnf('1.1.1.2.1',plain,[singletonP(nil)],extension(17)).
% 7.34/7.64  cnf('1.1.1.2.2',plain,[-(48 ^ [] = nil), ssList(48 ^ []), ssList(nil), -(neq(48 ^ [], nil))],extension(15,bind([[_81311, _81406], [48 ^ [], nil]]))).
% 7.34/7.64  cnf('1.1.1.2.2.1',plain,[-(ssList(48 ^ []))],extension(3)).
% 7.34/7.64  cnf('1.1.1.2.2.2',plain,[-(ssList(nil))],extension(16)).
% 7.34/7.64  cnf('1.1.1.2.2.3',plain,[neq(48 ^ [], nil)],extension(7)).
% 7.34/7.64  cnf('1.1.1.3',plain,[-(cons(52 ^ [], nil) = 48 ^ []), cons(52 ^ [], nil) = 50 ^ [], 50 ^ [] = 48 ^ []],extension(11,bind([[_56182, _56238, _56293], [cons(52 ^ [], nil), 50 ^ [], 48 ^ []]]))).
% 7.34/7.64  cnf('1.1.1.3.1',plain,[-(cons(52 ^ [], nil) = 50 ^ []), -(53 ^ [])],extension(1)).
% 7.34/7.64  cnf('1.1.1.3.1.1',plain,[53 ^ []],reduction('1')).
% 7.34/7.64  cnf('1.1.1.3.2',plain,[-(50 ^ [] = 48 ^ []), 48 ^ [] = 50 ^ []],extension(10,bind([[_55903, _55948], [48 ^ [], 50 ^ []]]))).
% 7.34/7.64  cnf('1.1.1.3.2.1',plain,[-(48 ^ [] = 50 ^ [])],extension(5)).
% 7.34/7.64  cnf('1.2',plain,[-(neq(51 ^ [], nil)), neq(49 ^ [], nil), 49 ^ [] = 51 ^ [], nil = nil],extension(12,bind([[_61389, _61456, _61522, _61587], [49 ^ [], 51 ^ [], nil, nil]]))).
% 7.34/7.64  cnf('1.2.1',plain,[-(neq(49 ^ [], nil))],extension(6)).
% 7.34/7.64  cnf('1.2.2',plain,[-(49 ^ [] = 51 ^ [])],extension(4)).
% 7.34/7.64  cnf('1.2.3',plain,[-(nil = nil)],extension(9,bind([[_55750], [nil]]))).
% 7.34/7.64  %-----------------------------------------------------
% 7.34/7.64  
% 7.34/7.64  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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