TSTP Solution File: SWC179+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SWC179+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n025.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 21:09:40 EDT 2022

% Result   : Theorem 146.66s 142.22s
% Output   : Proof 146.66s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SWC179+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n025.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 09:17:53 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 146.66/142.22  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.66/142.22  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 146.66/142.23  
% 146.66/142.23  %-----------------------------------------------------
% 146.66/142.23  fof(co1, conjecture, ! [_170261] : (ssList(_170261) => ! [_170276] : (ssList(_170276) => ! [_170291] : (ssList(_170291) => ! [_170306] : (ssList(_170306) => (! _170276) = _170306 | (! _170261) = _170291 | duplicatefreeP(_170261) | ! [_170344] : (ssItem(_170344) => ! [_170359] : (ssList(_170359) => ! [_170374] : (ssList(_170374) => (! cons(_170344, nil)) = _170291 | (! app(app(_170359, _170291), _170374)) = _170306 | ? [_170426] : (ssItem(_170426) & memberP(_170359, _170426) & lt(_170344, _170426)) | ? [_170461] : (ssItem(_170461) & memberP(_170374, _170461) & lt(_170461, _170344))))) & ((! nil) = _170306 | (! nil) = _170291))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', co1)).
% 146.66/142.23  fof(ax71, axiom, ! [_171466] : (ssItem(_171466) => duplicatefreeP(cons(_171466, nil))), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax71)).
% 146.66/142.23  fof(ax72, axiom, duplicatefreeP(nil), file('/export/starexec/sandbox/benchmark/Axioms/SWC001+0.ax', ax72)).
% 146.66/142.23  
% 146.66/142.23  cnf(1, plain, [-(107 ^ []), -(nil = 101 ^ [])], clausify(co1)).
% 146.66/142.23  cnf(2, plain, [-(106 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])], clausify(co1)).
% 146.66/142.23  cnf(3, plain, [-(106 ^ []), -(ssItem(103 ^ []))], clausify(co1)).
% 146.66/142.23  cnf(4, plain, [-(99 ^ [] = 101 ^ [])], clausify(co1)).
% 146.66/142.23  cnf(5, plain, [duplicatefreeP(99 ^ [])], clausify(co1)).
% 146.66/142.23  cnf(6, plain, [107 ^ [], 106 ^ []], clausify(co1)).
% 146.66/142.23  cnf(7, plain, [_56598 = _56643, -(_56643 = _56598)], theory(equality)).
% 146.66/142.23  cnf(8, plain, [-(duplicatefreeP(_57731)), _57682 = _57731, duplicatefreeP(_57682)], theory(equality)).
% 146.66/142.23  cnf(9, plain, [ssItem(_105219), -(duplicatefreeP(cons(_105219, nil)))], clausify(ax71)).
% 146.66/142.23  cnf(10, plain, [-(duplicatefreeP(nil))], clausify(ax72)).
% 146.66/142.23  
% 146.66/142.23  cnf('1',plain,[107 ^ [], 106 ^ []],start(6)).
% 146.66/142.23  cnf('1.1',plain,[-(107 ^ []), -(nil = 101 ^ [])],extension(1)).
% 146.66/142.23  cnf('1.1.1',plain,[nil = 101 ^ [], -(duplicatefreeP(101 ^ [])), duplicatefreeP(nil)],extension(8,bind([[_57731, _57682], [101 ^ [], nil]]))).
% 146.66/142.23  cnf('1.1.1.1',plain,[duplicatefreeP(101 ^ []), -(duplicatefreeP(99 ^ [])), 101 ^ [] = 99 ^ []],extension(8,bind([[_57682, _57731], [101 ^ [], 99 ^ []]]))).
% 146.66/142.23  cnf('1.1.1.1.1',plain,[duplicatefreeP(99 ^ [])],extension(5)).
% 146.66/142.23  cnf('1.1.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(7,bind([[_56598, _56643], [99 ^ [], 101 ^ []]]))).
% 146.66/142.23  cnf('1.1.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(4)).
% 146.66/142.23  cnf('1.1.1.2',plain,[-(duplicatefreeP(nil))],extension(10)).
% 146.66/142.23  cnf('1.2',plain,[-(106 ^ []), -(cons(103 ^ [], nil) = 101 ^ [])],extension(2)).
% 146.66/142.23  cnf('1.2.1',plain,[cons(103 ^ [], nil) = 101 ^ [], -(duplicatefreeP(101 ^ [])), duplicatefreeP(cons(103 ^ [], nil))],extension(8,bind([[_57731, _57682], [101 ^ [], cons(103 ^ [], nil)]]))).
% 146.66/142.23  cnf('1.2.1.1',plain,[duplicatefreeP(101 ^ []), -(duplicatefreeP(99 ^ [])), 101 ^ [] = 99 ^ []],extension(8,bind([[_57682, _57731], [101 ^ [], 99 ^ []]]))).
% 146.66/142.23  cnf('1.2.1.1.1',plain,[duplicatefreeP(99 ^ [])],extension(5)).
% 146.66/142.23  cnf('1.2.1.1.2',plain,[-(101 ^ [] = 99 ^ []), 99 ^ [] = 101 ^ []],extension(7,bind([[_56598, _56643], [99 ^ [], 101 ^ []]]))).
% 146.66/142.23  cnf('1.2.1.1.2.1',plain,[-(99 ^ [] = 101 ^ [])],extension(4)).
% 146.66/142.23  cnf('1.2.1.2',plain,[-(duplicatefreeP(cons(103 ^ [], nil))), ssItem(103 ^ [])],extension(9,bind([[_105219], [103 ^ []]]))).
% 146.66/142.23  cnf('1.2.1.2.1',plain,[-(ssItem(103 ^ [])), -(106 ^ [])],extension(3)).
% 146.66/142.23  cnf('1.2.1.2.1.1',plain,[106 ^ []],reduction('1')).
% 146.66/142.23  %-----------------------------------------------------
% 146.66/142.23  
% 146.66/142.24  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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