TSTP Solution File: NUN087+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n026.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 : Mon Jul 18 16:33:40 EDT 2022

% Result   : Theorem 202.87s 196.17s
% Output   : Proof 202.87s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : NUN087+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  2 06:34:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 202.87/196.17  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 202.87/196.18  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 202.87/196.19  
% 202.87/196.19  %-----------------------------------------------------
% 202.87/196.19  fof(axiom_1, axiom, ? [_38244] : ! [_38252] : (~ r1(_38252) & (! _38252) = _38244 | r1(_38252) & _38252 = _38244), file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax', axiom_1)).
% 202.87/196.19  fof(axiom_5a, axiom, ! [_38461] : ? [_38469] : (? [_38477] : (r1(_38477) & r4(_38461, _38477, _38469)) & ? [_38505] : (r1(_38505) & _38469 = _38505)), file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax', axiom_5a)).
% 202.87/196.19  fof(zerotimeszeroeqzero, conjecture, ? [_38855] : (? [_38863] : (r1(_38863) & r4(_38863, _38863, _38855)) & ? [_38891] : (r1(_38891) & _38855 = _38891)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', zerotimeszeroeqzero)).
% 202.87/196.19  
% 202.87/196.19  cnf(1, plain, [-(3 ^ [_22523]), -(_22523 = 1 ^ [])], clausify(axiom_1)).
% 202.87/196.19  cnf(2, plain, [-(23 ^ [_19588] = 25 ^ [_19588])], clausify(axiom_5a)).
% 202.87/196.19  cnf(3, plain, [2 ^ [_22523], 3 ^ [_22523]], clausify(axiom_1)).
% 202.87/196.19  cnf(4, plain, [-(2 ^ [_22523]), r1(_22523)], clausify(axiom_1)).
% 202.87/196.19  cnf(5, plain, [-(_10208 = _10319), _10208 = _10264, _10264 = _10319], theory(equality)).
% 202.87/196.19  cnf(6, plain, [-(3 ^ [_22523]), -(r1(_22523))], clausify(axiom_1)).
% 202.87/196.19  cnf(7, plain, [-(r1(25 ^ [_19588]))], clausify(axiom_5a)).
% 202.87/196.19  cnf(8, plain, [-(r4(_19588, 24 ^ [_19588], 23 ^ [_19588]))], clausify(axiom_5a)).
% 202.87/196.19  cnf(9, plain, [_9929 = _9974, -(_9974 = _9929)], theory(equality)).
% 202.87/196.19  cnf(10, plain, [-(r1(24 ^ [_19588]))], clausify(axiom_5a)).
% 202.87/196.19  cnf(11, plain, [r4(_21488, _21488, _21416), r1(_21488), r1(_21682), _21416 = _21682], clausify(zerotimeszeroeqzero)).
% 202.87/196.19  cnf(12, plain, [-(r4(_12737, _12904, _13067)), r4(_12652, _12821, _12986), _12652 = _12737, _12821 = _12904, _12986 = _13067], theory(equality)).
% 202.87/196.19  
% 202.87/196.19  cnf('1',plain,[2 ^ [25 ^ [1 ^ []]], 3 ^ [25 ^ [1 ^ []]]],start(3,bind([[_22523], [25 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.1',plain,[-(2 ^ [25 ^ [1 ^ []]]), r1(25 ^ [1 ^ []])],extension(4,bind([[_22523], [25 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.1.1',plain,[-(r1(25 ^ [1 ^ []]))],extension(7,bind([[_19588], [1 ^ []]]))).
% 202.87/196.19  cnf('1.2',plain,[-(3 ^ [25 ^ [1 ^ []]]), -(25 ^ [1 ^ []] = 1 ^ [])],extension(1,bind([[_22523], [25 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1',plain,[25 ^ [1 ^ []] = 1 ^ [], -(1 ^ [] = 25 ^ [1 ^ []])],extension(9,bind([[_9974, _9929], [1 ^ [], 25 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1',plain,[1 ^ [] = 25 ^ [1 ^ []], r4(25 ^ [1 ^ []], 25 ^ [1 ^ []], 1 ^ []), r1(25 ^ [1 ^ []]), r1(25 ^ [1 ^ []])],extension(11,bind([[_21416, _21488, _21682], [1 ^ [], 25 ^ [1 ^ []], 25 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1.1',plain,[-(r4(25 ^ [1 ^ []], 25 ^ [1 ^ []], 1 ^ [])), r4(1 ^ [], 24 ^ [1 ^ []], 23 ^ [1 ^ []]), 1 ^ [] = 25 ^ [1 ^ []], 24 ^ [1 ^ []] = 25 ^ [1 ^ []], 23 ^ [1 ^ []] = 1 ^ []],extension(12,bind([[_12652, _12737, _12821, _12904, _12986, _13067], [1 ^ [], 25 ^ [1 ^ []], 24 ^ [1 ^ []], 25 ^ [1 ^ []], 23 ^ [1 ^ []], 1 ^ []]]))).
% 202.87/196.19  cnf('1.2.1.1.1.1',plain,[-(r4(1 ^ [], 24 ^ [1 ^ []], 23 ^ [1 ^ []]))],extension(8,bind([[_19588], [1 ^ []]]))).
% 202.87/196.19  cnf('1.2.1.1.1.2',plain,[-(1 ^ [] = 25 ^ [1 ^ []])],reduction('1.2.1')).
% 202.87/196.19  cnf('1.2.1.1.1.3',plain,[-(24 ^ [1 ^ []] = 25 ^ [1 ^ []]), 24 ^ [1 ^ []] = 1 ^ [], 1 ^ [] = 25 ^ [1 ^ []]],extension(5,bind([[_10208, _10264, _10319], [24 ^ [1 ^ []], 1 ^ [], 25 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1.1.3.1',plain,[-(24 ^ [1 ^ []] = 1 ^ []), -(3 ^ [24 ^ [1 ^ []]])],extension(1,bind([[_22523], [24 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1.1.3.1.1',plain,[3 ^ [24 ^ [1 ^ []]], 2 ^ [24 ^ [1 ^ []]]],extension(3,bind([[_22523], [24 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1.1.3.1.1.1',plain,[-(2 ^ [24 ^ [1 ^ []]]), r1(24 ^ [1 ^ []])],extension(4,bind([[_22523], [24 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1.1.3.1.1.1.1',plain,[-(r1(24 ^ [1 ^ []]))],extension(10,bind([[_19588], [1 ^ []]]))).
% 202.87/196.19  cnf('1.2.1.1.1.3.2',plain,[-(1 ^ [] = 25 ^ [1 ^ []])],lemmata('1.2.1.1.1')).
% 202.87/196.19  cnf('1.2.1.1.1.4',plain,[-(23 ^ [1 ^ []] = 1 ^ []), 1 ^ [] = 23 ^ [1 ^ []]],extension(9,bind([[_9929, _9974], [1 ^ [], 23 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1.1.4.1',plain,[-(1 ^ [] = 23 ^ [1 ^ []]), 1 ^ [] = 25 ^ [1 ^ []], 25 ^ [1 ^ []] = 23 ^ [1 ^ []]],extension(5,bind([[_10208, _10264, _10319], [1 ^ [], 25 ^ [1 ^ []], 23 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1.1.4.1.1',plain,[-(1 ^ [] = 25 ^ [1 ^ []])],lemmata('1.2.1.1.1')).
% 202.87/196.19  cnf('1.2.1.1.1.4.1.2',plain,[-(25 ^ [1 ^ []] = 23 ^ [1 ^ []]), 23 ^ [1 ^ []] = 25 ^ [1 ^ []]],extension(9,bind([[_9929, _9974], [23 ^ [1 ^ []], 25 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1.1.4.1.2.1',plain,[-(23 ^ [1 ^ []] = 25 ^ [1 ^ []])],extension(2,bind([[_19588], [1 ^ []]]))).
% 202.87/196.19  cnf('1.2.1.1.2',plain,[-(r1(25 ^ [1 ^ []])), -(3 ^ [25 ^ [1 ^ []]])],extension(6,bind([[_22523], [25 ^ [1 ^ []]]]))).
% 202.87/196.19  cnf('1.2.1.1.2.1',plain,[3 ^ [25 ^ [1 ^ []]]],reduction('1')).
% 202.87/196.19  cnf('1.2.1.1.3',plain,[-(r1(25 ^ [1 ^ []]))],extension(7,bind([[_19588], [1 ^ []]]))).
% 202.87/196.19  %-----------------------------------------------------
% 202.87/196.19  
% 202.87/196.19  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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