TSTP Solution File: SWC038+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC038+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n011.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 21:08:57 EDT 2022

% Result   : Theorem 149.88s 144.56s
% Output   : Proof 149.88s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWC038+1 : TPTP v8.1.0. Released v2.4.0.
% 0.06/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n011.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
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 03:32:17 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 149.88/144.56  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 149.88/144.57  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 149.88/144.57  
% 149.88/144.57  %-----------------------------------------------------
% 149.88/144.57  fof(co1, conjecture, ! [_170220] : (ssList(_170220) => ! [_170235] : (ssList(_170235) => ! [_170250] : (ssList(_170250) => ! [_170265] : (ssList(_170265) => (! nil) = _170235 | (! _170235) = _170265 | (! _170220) = _170250 | nil = _170220 | ((! nil) = _170265 | (! nil) = _170250) & (~ neq(_170250, nil) | ~ frontsegP(_170265, _170250)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 149.88/144.57  fof(ax83, axiom, ! [_170739] : (ssList(_170739) => ! [_170754] : (ssList(_170754) => (nil = app(_170739, _170754) <=> nil = _170754 & nil = _170739))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax83)).
% 149.88/144.57  fof(ax46, axiom, ! [_171026] : (ssList(_171026) => (frontsegP(nil, _171026) <=> nil = _171026)), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax46)).
% 149.88/144.57  
% 149.88/144.57  cnf(1, plain, [-(104 ^ []), -(frontsegP(102 ^ [], 101 ^ []))], clausify(co1)).
% 149.88/144.57  cnf(2, plain, [-(103 ^ []), -(nil = 101 ^ [])], clausify(co1)).
% 149.88/144.57  cnf(3, plain, [-(95 ^ [_109662, _109560]), -(nil = _109560)], clausify(ax83)).
% 149.88/144.57  cnf(4, plain, [-(96 ^ [_109662, _109560]), -(nil = app(_109560, _109662)), nil = _109662, nil = _109560], clausify(ax83)).
% 149.88/144.57  cnf(5, plain, [-(96 ^ [_109662, _109560]), nil = app(_109560, _109662), 95 ^ [_109662, _109560]], clausify(ax83)).
% 149.88/144.57  cnf(6, plain, [-(82 ^ [_95360]), frontsegP(nil, _95360), -(nil = _95360)], clausify(ax46)).
% 149.88/144.57  cnf(7, plain, [-(ssList(99 ^ []))], clausify(co1)).
% 149.88/144.57  cnf(8, plain, [-(ssList(101 ^ []))], clausify(co1)).
% 149.88/144.57  cnf(9, plain, [-(nil = 100 ^ [])], clausify(co1)).
% 149.88/144.57  cnf(10, plain, [-(100 ^ [] = 102 ^ [])], clausify(co1)).
% 149.88/144.57  cnf(11, plain, [-(99 ^ [] = 101 ^ [])], clausify(co1)).
% 149.88/144.57  cnf(12, plain, [nil = 99 ^ []], clausify(co1)).
% 149.88/144.57  cnf(13, plain, [103 ^ [], 104 ^ []], clausify(co1)).
% 149.88/144.57  cnf(14, plain, [_55630 = _55675, -(_55675 = _55630)], theory(equality)).
% 149.88/144.57  cnf(15, plain, [-(_55909 = _56020), _55909 = _55965, _55965 = _56020], theory(equality)).
% 149.88/144.57  cnf(16, plain, [-(frontsegP(_57439, _57570)), frontsegP(_57372, _57505), _57372 = _57439, _57505 = _57570], theory(equality)).
% 149.88/144.57  cnf(17, plain, [ssList(_95360), 82 ^ [_95360]], clausify(ax46)).
% 149.88/144.57  cnf(18, plain, [ssList(_109560), ssList(_109662), 96 ^ [_109662, _109560]], clausify(ax83)).
% 149.88/144.57  
% 149.88/144.57  cnf('1',plain,[103 ^ [], 104 ^ []],start(13)).
% 149.88/144.57  cnf('1.1',plain,[-(103 ^ []), -(nil = 101 ^ [])],extension(2)).
% 149.88/144.57  cnf('1.1.1',plain,[nil = 101 ^ [], -(96 ^ [101 ^ [], 99 ^ []]), -(nil = app(99 ^ [], 101 ^ [])), nil = 99 ^ []],extension(4,bind([[_109662, _109560], [101 ^ [], 99 ^ []]]))).
% 149.88/144.57  cnf('1.1.1.1',plain,[96 ^ [101 ^ [], 99 ^ []], ssList(99 ^ []), ssList(101 ^ [])],extension(18,bind([[_109560, _109662], [99 ^ [], 101 ^ []]]))).
% 149.88/144.57  cnf('1.1.1.1.1',plain,[-(ssList(99 ^ []))],extension(7)).
% 149.88/144.57  cnf('1.1.1.1.2',plain,[-(ssList(101 ^ []))],extension(8)).
% 149.88/144.57  cnf('1.1.1.2',plain,[nil = app(99 ^ [], 101 ^ []), -(96 ^ [101 ^ [], 99 ^ []]), 95 ^ [101 ^ [], 99 ^ []]],extension(5,bind([[_109662, _109560], [101 ^ [], 99 ^ []]]))).
% 149.88/144.57  cnf('1.1.1.2.1',plain,[96 ^ [101 ^ [], 99 ^ []]],lemmata('1.1.1')).
% 149.88/144.57  cnf('1.1.1.2.2',plain,[-(95 ^ [101 ^ [], 99 ^ []]), -(nil = 99 ^ [])],extension(3,bind([[_109662, _109560], [101 ^ [], 99 ^ []]]))).
% 149.88/144.57  cnf('1.1.1.2.2.1',plain,[nil = 99 ^ []],extension(12)).
% 149.88/144.57  cnf('1.1.1.3',plain,[-(nil = 99 ^ []), nil = 101 ^ [], 101 ^ [] = 99 ^ []],extension(15,bind([[_55909, _55965, _56020], [nil, 101 ^ [], 99 ^ []]]))).
% 149.88/144.57  cnf('1.1.1.3.1',plain,[-(nil = 101 ^ [])],reduction('1.1')).
% 149.88/144.57  cnf('1.1.1.3.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(14,bind([[_55630, _55675], [99 ^ [], 101 ^ []]]))).
% 149.88/144.57  cnf('1.1.1.3.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(11)).
% 149.88/144.57  cnf('1.2',plain,[-(104 ^ []), -(frontsegP(102 ^ [], 101 ^ []))],extension(1)).
% 149.88/144.57  cnf('1.2.1',plain,[frontsegP(102 ^ [], 101 ^ []), -(frontsegP(nil, 99 ^ [])), 102 ^ [] = nil, 101 ^ [] = 99 ^ []],extension(16,bind([[_57372, _57439, _57505, _57570], [102 ^ [], nil, 101 ^ [], 99 ^ []]]))).
% 149.88/144.57  cnf('1.2.1.1',plain,[frontsegP(nil, 99 ^ []), -(82 ^ [99 ^ []]), -(nil = 99 ^ [])],extension(6,bind([[_95360], [99 ^ []]]))).
% 149.88/144.57  cnf('1.2.1.1.1',plain,[82 ^ [99 ^ []], ssList(99 ^ [])],extension(17,bind([[_95360], [99 ^ []]]))).
% 149.88/144.57  cnf('1.2.1.1.1.1',plain,[-(ssList(99 ^ []))],extension(7)).
% 149.88/144.57  cnf('1.2.1.1.2',plain,[nil = 99 ^ []],extension(12)).
% 149.88/144.57  cnf('1.2.1.2',plain,[-(102 ^ [] = nil), nil = 102 ^ []],extension(14,bind([[_55630, _55675], [nil, 102 ^ []]]))).
% 149.88/144.57  cnf('1.2.1.2.1',plain,[-(nil = 102 ^ []), nil = 100 ^ [], 100 ^ [] = 102 ^ []],extension(15,bind([[_55909, _55965, _56020], [nil, 100 ^ [], 102 ^ []]]))).
% 149.88/144.57  cnf('1.2.1.2.1.1',plain,[-(nil = 100 ^ [])],extension(9)).
% 149.88/144.57  cnf('1.2.1.2.1.2',plain,[-(100 ^ [] = 102 ^ [])],extension(10)).
% 149.88/144.57  cnf('1.2.1.3',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(14,bind([[_55630, _55675], [99 ^ [], 101 ^ []]]))).
% 149.88/144.57  cnf('1.2.1.3.1',plain,[-(99 ^ [] = 101 ^ [])],extension(11)).
% 149.88/144.57  %-----------------------------------------------------
% 149.88/144.58  
% 149.88/144.58  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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