TSTP Solution File: SET047+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n023.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 02:50:35 EDT 2022

% Result   : Theorem 0.36s 1.41s
% Output   : Proof 0.36s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.13  % Command  : leancop_casc.sh %s %d
% 0.14/0.34  % Computer : n023.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Sun Jul 10 18:27:10 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.36/1.41  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.42  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.36/1.43  
% 0.36/1.43  %-----------------------------------------------------
% 0.36/1.43  fof(pel43, conjecture, ! [_11175, _11178] : (set_equal(_11175, _11178) <=> set_equal(_11178, _11175)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', pel43)).
% 0.36/1.43  fof(pel43_1, axiom, ! [_11365, _11368] : (set_equal(_11365, _11368) <=> ! [_11386] : (element(_11386, _11365) <=> element(_11386, _11368))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', pel43_1)).
% 0.36/1.43  
% 0.36/1.43  cnf(1, plain, [-(5 ^ []), set_equal(2 ^ [], 3 ^ [])], clausify(pel43)).
% 0.36/1.43  cnf(2, plain, [-(5 ^ []), -(set_equal(3 ^ [], 2 ^ []))], clausify(pel43)).
% 0.36/1.43  cnf(3, plain, [-(4 ^ []), set_equal(3 ^ [], 2 ^ [])], clausify(pel43)).
% 0.36/1.43  cnf(4, plain, [-(4 ^ []), -(set_equal(2 ^ [], 3 ^ []))], clausify(pel43)).
% 0.36/1.43  cnf(5, plain, [4 ^ [], 5 ^ []], clausify(pel43)).
% 0.36/1.43  cnf(6, plain, [set_equal(_3029, _3085), element(_3199, _3029), -(element(_3199, _3085))], clausify(pel43_1)).
% 0.36/1.43  cnf(7, plain, [set_equal(_3029, _3085), -(element(_3199, _3029)), element(_3199, _3085)], clausify(pel43_1)).
% 0.36/1.43  cnf(8, plain, [-(set_equal(_3029, _3085)), element(1 ^ [_3085, _3029], _3029), element(1 ^ [_3085, _3029], _3085)], clausify(pel43_1)).
% 0.36/1.43  cnf(9, plain, [-(set_equal(_3029, _3085)), -(element(1 ^ [_3085, _3029], _3029)), -(element(1 ^ [_3085, _3029], _3085))], clausify(pel43_1)).
% 0.36/1.43  
% 0.36/1.43  cnf('1',plain,[4 ^ [], 5 ^ []],start(5)).
% 0.36/1.43  cnf('1.1',plain,[-(4 ^ []), set_equal(3 ^ [], 2 ^ [])],extension(3)).
% 0.36/1.43  cnf('1.1.1',plain,[-(set_equal(3 ^ [], 2 ^ [])), element(1 ^ [2 ^ [], 3 ^ []], 3 ^ []), element(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])],extension(8,bind([[_3029, _3085], [3 ^ [], 2 ^ []]]))).
% 0.36/1.43  cnf('1.1.1.1',plain,[-(element(1 ^ [2 ^ [], 3 ^ []], 3 ^ [])), set_equal(2 ^ [], 3 ^ []), element(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])],extension(6,bind([[_3085, _3199, _3029], [3 ^ [], 1 ^ [2 ^ [], 3 ^ []], 2 ^ []]]))).
% 0.36/1.43  cnf('1.1.1.1.1',plain,[-(set_equal(2 ^ [], 3 ^ [])), -(4 ^ [])],extension(4)).
% 0.36/1.43  cnf('1.1.1.1.1.1',plain,[4 ^ []],reduction('1')).
% 0.36/1.43  cnf('1.1.1.1.2',plain,[-(element(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])), -(set_equal(3 ^ [], 2 ^ [])), -(element(1 ^ [2 ^ [], 3 ^ []], 3 ^ []))],extension(9,bind([[_3085, _3029], [2 ^ [], 3 ^ []]]))).
% 0.36/1.43  cnf('1.1.1.1.2.1',plain,[set_equal(3 ^ [], 2 ^ [])],reduction('1.1')).
% 0.36/1.43  cnf('1.1.1.1.2.2',plain,[element(1 ^ [2 ^ [], 3 ^ []], 3 ^ [])],reduction('1.1.1')).
% 0.36/1.43  cnf('1.1.1.2',plain,[-(element(1 ^ [2 ^ [], 3 ^ []], 2 ^ [])), set_equal(2 ^ [], 3 ^ []), element(1 ^ [2 ^ [], 3 ^ []], 3 ^ [])],extension(7,bind([[_3029, _3199, _3085], [2 ^ [], 1 ^ [2 ^ [], 3 ^ []], 3 ^ []]]))).
% 0.36/1.43  cnf('1.1.1.2.1',plain,[-(set_equal(2 ^ [], 3 ^ [])), -(4 ^ [])],extension(4)).
% 0.36/1.43  cnf('1.1.1.2.1.1',plain,[4 ^ []],reduction('1')).
% 0.36/1.43  cnf('1.1.1.2.2',plain,[-(element(1 ^ [2 ^ [], 3 ^ []], 3 ^ []))],lemmata('1.1.1')).
% 0.36/1.43  cnf('1.2',plain,[-(5 ^ []), set_equal(2 ^ [], 3 ^ [])],extension(1)).
% 0.36/1.43  cnf('1.2.1',plain,[-(set_equal(2 ^ [], 3 ^ [])), element(1 ^ [3 ^ [], 2 ^ []], 2 ^ []), element(1 ^ [3 ^ [], 2 ^ []], 3 ^ [])],extension(8,bind([[_3029, _3085], [2 ^ [], 3 ^ []]]))).
% 0.36/1.43  cnf('1.2.1.1',plain,[-(element(1 ^ [3 ^ [], 2 ^ []], 2 ^ [])), set_equal(3 ^ [], 2 ^ []), element(1 ^ [3 ^ [], 2 ^ []], 3 ^ [])],extension(6,bind([[_3085, _3199, _3029], [2 ^ [], 1 ^ [3 ^ [], 2 ^ []], 3 ^ []]]))).
% 0.36/1.43  cnf('1.2.1.1.1',plain,[-(set_equal(3 ^ [], 2 ^ [])), -(5 ^ [])],extension(2)).
% 0.36/1.43  cnf('1.2.1.1.1.1',plain,[5 ^ []],reduction('1')).
% 0.36/1.43  cnf('1.2.1.1.2',plain,[-(element(1 ^ [3 ^ [], 2 ^ []], 3 ^ [])), -(set_equal(2 ^ [], 3 ^ [])), -(element(1 ^ [3 ^ [], 2 ^ []], 2 ^ []))],extension(9,bind([[_3085, _3029], [3 ^ [], 2 ^ []]]))).
% 0.36/1.43  cnf('1.2.1.1.2.1',plain,[set_equal(2 ^ [], 3 ^ [])],reduction('1.2')).
% 0.36/1.43  cnf('1.2.1.1.2.2',plain,[element(1 ^ [3 ^ [], 2 ^ []], 2 ^ [])],reduction('1.2.1')).
% 0.36/1.43  cnf('1.2.1.2',plain,[-(element(1 ^ [3 ^ [], 2 ^ []], 3 ^ [])), set_equal(3 ^ [], 2 ^ []), element(1 ^ [3 ^ [], 2 ^ []], 2 ^ [])],extension(7,bind([[_3029, _3199, _3085], [3 ^ [], 1 ^ [3 ^ [], 2 ^ []], 2 ^ []]]))).
% 0.36/1.43  cnf('1.2.1.2.1',plain,[-(set_equal(3 ^ [], 2 ^ [])), -(5 ^ [])],extension(2)).
% 0.36/1.43  cnf('1.2.1.2.1.1',plain,[5 ^ []],reduction('1')).
% 0.36/1.43  cnf('1.2.1.2.2',plain,[-(element(1 ^ [3 ^ [], 2 ^ []], 2 ^ []))],lemmata('1.2.1')).
% 0.36/1.43  %-----------------------------------------------------
% 0.36/1.43  
% 0.36/1.43  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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