TSTP Solution File: SEU186+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU186+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n012.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 12:00:49 EDT 2022

% Result   : Theorem 0.31s 1.42s
% Output   : Proof 0.31s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SEU186+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : leancop_casc.sh %s %d
% 0.13/0.34  % Computer : n012.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 : Sun Jun 19 15:18:53 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.31/1.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.43  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.31/1.43  
% 0.31/1.43  %-----------------------------------------------------
% 0.31/1.43  fof(t56_relat_1, conjecture, ! [_30008] : (relation(_30008) => ! [_30023, _30026] : ~ in(ordered_pair(_30023, _30026), _30008) => _30008 = empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t56_relat_1)).
% 0.31/1.43  fof(d1_relat_1, axiom, ! [_30294] : (relation(_30294) <=> ! [_30309] : ~ (in(_30309, _30294) & ! [_30329, _30332] : (! _30309) = ordered_pair(_30329, _30332))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d1_relat_1)).
% 0.31/1.43  fof(existence_m1_subset_1, axiom, ! [_30548] : ? [_30556] : element(_30556, _30548), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', existence_m1_subset_1)).
% 0.31/1.43  fof(t2_subset, axiom, ! [_30698, _30701] : (element(_30698, _30701) => empty(_30701) | in(_30698, _30701)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t2_subset)).
% 0.31/1.43  fof(t6_boole, axiom, ! [_30865] : (empty(_30865) => _30865 = empty_set), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t6_boole)).
% 0.31/1.43  
% 0.31/1.43  cnf(1, plain, [-(relation(9 ^ []))], clausify(t56_relat_1)).
% 0.31/1.43  cnf(2, plain, [in(ordered_pair(_23749, _23754), 9 ^ [])], clausify(t56_relat_1)).
% 0.31/1.43  cnf(3, plain, [9 ^ [] = empty_set], clausify(t56_relat_1)).
% 0.31/1.43  cnf(4, plain, [-(_9107 = _9107)], theory(equality)).
% 0.31/1.43  cnf(5, plain, [-(element(_10082, _10213)), element(_10015, _10148), _10015 = _10082, _10148 = _10213], theory(equality)).
% 0.31/1.43  cnf(6, plain, [-(in(_11035, _11166)), in(_10968, _11101), _10968 = _11035, _11101 = _11166], theory(equality)).
% 0.31/1.43  cnf(7, plain, [relation(_14454), in(_14559, _14454), -(_14559 = ordered_pair(1 ^ [_14559, _14454], 2 ^ [_14559, _14454]))], clausify(d1_relat_1)).
% 0.31/1.43  cnf(8, plain, [-(element(4 ^ [_16080], _16080))], clausify(existence_m1_subset_1)).
% 0.31/1.43  cnf(9, plain, [element(_18372, _18422), -(empty(_18422)), -(in(_18372, _18422))], clausify(t2_subset)).
% 0.31/1.43  cnf(10, plain, [empty(_18745), -(_18745 = empty_set)], clausify(t6_boole)).
% 0.31/1.43  
% 0.31/1.43  cnf('1',plain,[9 ^ [] = empty_set],start(3)).
% 0.31/1.43  cnf('1.1',plain,[-(9 ^ [] = empty_set), empty(9 ^ [])],extension(10,bind([[_18745], [9 ^ []]]))).
% 0.31/1.43  cnf('1.1.1',plain,[-(empty(9 ^ [])), element(4 ^ [9 ^ []], 9 ^ []), -(in(4 ^ [9 ^ []], 9 ^ []))],extension(9,bind([[_18372, _18422], [4 ^ [9 ^ []], 9 ^ []]]))).
% 0.31/1.43  cnf('1.1.1.1',plain,[-(element(4 ^ [9 ^ []], 9 ^ [])), element(4 ^ [9 ^ []], 9 ^ []), 4 ^ [9 ^ []] = 4 ^ [9 ^ []], 9 ^ [] = 9 ^ []],extension(5,bind([[_10015, _10082, _10148, _10213], [4 ^ [9 ^ []], 4 ^ [9 ^ []], 9 ^ [], 9 ^ []]]))).
% 0.31/1.43  cnf('1.1.1.1.1',plain,[-(element(4 ^ [9 ^ []], 9 ^ []))],extension(8,bind([[_16080], [9 ^ []]]))).
% 0.31/1.43  cnf('1.1.1.1.2',plain,[-(4 ^ [9 ^ []] = 4 ^ [9 ^ []])],extension(4,bind([[_9107], [4 ^ [9 ^ []]]]))).
% 0.31/1.43  cnf('1.1.1.1.3',plain,[-(9 ^ [] = 9 ^ [])],extension(4,bind([[_9107], [9 ^ []]]))).
% 0.31/1.43  cnf('1.1.1.2',plain,[in(4 ^ [9 ^ []], 9 ^ []), -(in(ordered_pair(1 ^ [4 ^ [9 ^ []], 9 ^ []], 2 ^ [4 ^ [9 ^ []], 9 ^ []]), 9 ^ [])), 4 ^ [9 ^ []] = ordered_pair(1 ^ [4 ^ [9 ^ []], 9 ^ []], 2 ^ [4 ^ [9 ^ []], 9 ^ []]), 9 ^ [] = 9 ^ []],extension(6,bind([[_10968, _11035, _11101, _11166], [4 ^ [9 ^ []], ordered_pair(1 ^ [4 ^ [9 ^ []], 9 ^ []], 2 ^ [4 ^ [9 ^ []], 9 ^ []]), 9 ^ [], 9 ^ []]]))).
% 0.31/1.43  cnf('1.1.1.2.1',plain,[in(ordered_pair(1 ^ [4 ^ [9 ^ []], 9 ^ []], 2 ^ [4 ^ [9 ^ []], 9 ^ []]), 9 ^ [])],extension(2,bind([[_23749, _23754], [1 ^ [4 ^ [9 ^ []], 9 ^ []], 2 ^ [4 ^ [9 ^ []], 9 ^ []]]]))).
% 0.31/1.43  cnf('1.1.1.2.2',plain,[-(4 ^ [9 ^ []] = ordered_pair(1 ^ [4 ^ [9 ^ []], 9 ^ []], 2 ^ [4 ^ [9 ^ []], 9 ^ []])), relation(9 ^ []), in(4 ^ [9 ^ []], 9 ^ [])],extension(7,bind([[_14559, _14454], [4 ^ [9 ^ []], 9 ^ []]]))).
% 0.31/1.43  cnf('1.1.1.2.2.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.31/1.43  cnf('1.1.1.2.2.2',plain,[-(in(4 ^ [9 ^ []], 9 ^ []))],reduction('1.1.1')).
% 0.31/1.43  cnf('1.1.1.2.3',plain,[-(9 ^ [] = 9 ^ [])],extension(4,bind([[_9107], [9 ^ []]]))).
% 0.31/1.43  %-----------------------------------------------------
% 0.31/1.44  
% 0.31/1.44  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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