TSTP Solution File: SWC208+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC208+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 21:09:49 EDT 2022

% Result   : Theorem 6.82s 7.59s
% Output   : Proof 6.82s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SWC208+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.13  % 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
% 0.12/0.33  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun Jun 12 04:55:47 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 6.82/7.59  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.82/7.60  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.82/7.60  
% 6.82/7.60  %-----------------------------------------------------
% 6.82/7.60  fof(co1, conjecture, ! [_173226] : (ssList(_173226) => ! [_173241] : (ssList(_173241) => ! [_173256] : (ssList(_173256) => ! [_173271] : (ssList(_173271) => (! _173241) = _173271 | (! _173226) = _173256 | ~ neq(_173241, nil) | neq(_173226, nil) | ((! nil) = _173271 | (! nil) = _173256) & (~ neq(_173256, nil) | ~ frontsegP(_173271, _173256)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 6.82/7.60  fof(ax15, axiom, ! [_173967] : (ssList(_173967) => ! [_173982] : (ssList(_173982) => (neq(_173967, _173982) <=> (! _173967) = _173982))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax15)).
% 6.82/7.60  fof(ax17, axiom, ssList(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax17)).
% 6.82/7.60  
% 6.82/7.60  cnf(1, plain, [-(53 ^ []), -(neq(50 ^ [], nil))], clausify(co1)).
% 6.82/7.60  cnf(2, plain, [-(52 ^ []), -(nil = 51 ^ [])], clausify(co1)).
% 6.82/7.60  cnf(3, plain, [-(ssList(51 ^ []))], clausify(co1)).
% 6.82/7.60  cnf(4, plain, [-(49 ^ [] = 51 ^ [])], clausify(co1)).
% 6.82/7.60  cnf(5, plain, [-(48 ^ [] = 50 ^ [])], clausify(co1)).
% 6.82/7.60  cnf(6, plain, [-(neq(49 ^ [], nil))], clausify(co1)).
% 6.82/7.60  cnf(7, plain, [neq(48 ^ [], nil)], clausify(co1)).
% 6.82/7.60  cnf(8, plain, [52 ^ [], 53 ^ []], clausify(co1)).
% 6.82/7.60  cnf(9, plain, [-(_55515 = _55515)], theory(equality)).
% 6.82/7.60  cnf(10, plain, [_55668 = _55713, -(_55713 = _55668)], theory(equality)).
% 6.82/7.60  cnf(11, plain, [-(neq(_61221, _61352)), neq(_61154, _61287), _61154 = _61221, _61287 = _61352], theory(equality)).
% 6.82/7.60  cnf(12, plain, [-(ssList(_63733)), _63684 = _63733, ssList(_63684)], theory(equality)).
% 6.82/7.60  cnf(13, plain, [ssList(_81076), ssList(_81171), neq(_81076, _81171), _81076 = _81171], clausify(ax15)).
% 6.82/7.60  cnf(14, plain, [-(ssList(nil))], clausify(ax17)).
% 6.82/7.60  
% 6.82/7.60  cnf('1',plain,[52 ^ [], 53 ^ []],start(8)).
% 6.82/7.60  cnf('1.1',plain,[-(52 ^ []), -(nil = 51 ^ [])],extension(2)).
% 6.82/7.60  cnf('1.1.1',plain,[nil = 51 ^ [], -(ssList(51 ^ [])), ssList(nil)],extension(12,bind([[_63733, _63684], [51 ^ [], nil]]))).
% 6.82/7.60  cnf('1.1.1.1',plain,[ssList(51 ^ []), ssList(51 ^ []), neq(51 ^ [], 51 ^ []), 51 ^ [] = 51 ^ []],extension(13,bind([[_81076, _81171], [51 ^ [], 51 ^ []]]))).
% 6.82/7.60  cnf('1.1.1.1.1',plain,[-(ssList(51 ^ []))],extension(3)).
% 6.82/7.60  cnf('1.1.1.1.2',plain,[-(neq(51 ^ [], 51 ^ [])), neq(49 ^ [], nil), 49 ^ [] = 51 ^ [], nil = 51 ^ []],extension(11,bind([[_61154, _61221, _61287, _61352], [49 ^ [], 51 ^ [], nil, 51 ^ []]]))).
% 6.82/7.60  cnf('1.1.1.1.2.1',plain,[-(neq(49 ^ [], nil))],extension(6)).
% 6.82/7.60  cnf('1.1.1.1.2.2',plain,[-(49 ^ [] = 51 ^ [])],extension(4)).
% 6.82/7.60  cnf('1.1.1.1.2.3',plain,[-(nil = 51 ^ [])],reduction('1.1')).
% 6.82/7.60  cnf('1.1.1.1.3',plain,[-(51 ^ [] = 51 ^ [])],extension(9,bind([[_55515], [51 ^ []]]))).
% 6.82/7.60  cnf('1.1.1.2',plain,[-(ssList(nil))],extension(14)).
% 6.82/7.60  cnf('1.2',plain,[-(53 ^ []), -(neq(50 ^ [], nil))],extension(1)).
% 6.82/7.60  cnf('1.2.1',plain,[neq(50 ^ [], nil), -(neq(48 ^ [], nil)), 50 ^ [] = 48 ^ [], nil = nil],extension(11,bind([[_61154, _61221, _61287, _61352], [50 ^ [], 48 ^ [], nil, nil]]))).
% 6.82/7.60  cnf('1.2.1.1',plain,[neq(48 ^ [], nil)],extension(7)).
% 6.82/7.60  cnf('1.2.1.2',plain,[-(50 ^ [] = 48 ^ []), 48 ^ [] = 50 ^ []],extension(10,bind([[_55668, _55713], [48 ^ [], 50 ^ []]]))).
% 6.82/7.60  cnf('1.2.1.2.1',plain,[-(48 ^ [] = 50 ^ [])],extension(5)).
% 6.82/7.60  cnf('1.2.1.3',plain,[-(nil = nil)],extension(9,bind([[_55515], [nil]]))).
% 6.82/7.60  %-----------------------------------------------------
% 6.82/7.61  
% 6.82/7.61  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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