TSTP Solution File: SEU125+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU125+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n009.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 12:00:15 EDT 2022

% Result   : Theorem 0.34s 1.45s
% Output   : Proof 0.44s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU125+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.36  % Computer : n009.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sun Jun 19 19:20:07 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.34/1.45  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.34/1.45  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.44/1.46  
% 0.44/1.46  %-----------------------------------------------------
% 0.44/1.46  fof(t8_xboole_1, conjecture, ! [_25592, _25595, _25598] : (subset(_25592, _25595) & subset(_25598, _25595) => subset(set_union2(_25592, _25598), _25595)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t8_xboole_1)).
% 0.44/1.46  fof(d2_xboole_0, axiom, ! [_25848, _25851, _25854] : (_25854 = set_union2(_25848, _25851) <=> ! [_25875] : (in(_25875, _25854) <=> in(_25875, _25848) | in(_25875, _25851))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d2_xboole_0)).
% 0.44/1.46  fof(d3_tarski, axiom, ! [_26106, _26109] : (subset(_26106, _26109) <=> ! [_26127] : (in(_26127, _26106) => in(_26127, _26109))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.44/1.46  
% 0.44/1.46  cnf(1, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(t8_xboole_1)).
% 0.44/1.46  cnf(2, plain, [-(subset(7 ^ [], 6 ^ []))], clausify(t8_xboole_1)).
% 0.44/1.46  cnf(3, plain, [subset(set_union2(5 ^ [], 7 ^ []), 6 ^ [])], clausify(t8_xboole_1)).
% 0.44/1.46  cnf(4, plain, [-(set_union2(_10102, _10235) = set_union2(_10169, _10300)), _10102 = _10169, _10235 = _10300], theory(equality)).
% 0.44/1.46  cnf(5, plain, [-(_7592 = _7592)], theory(equality)).
% 0.44/1.46  cnf(6, plain, [_11541 = set_union2(_11402, _11472), in(_11705, _11541), -(in(_11705, _11402)), -(in(_11705, _11472))], clausify(d2_xboole_0)).
% 0.44/1.46  cnf(7, plain, [-(subset(_12087, _12143)), -(in(2 ^ [_12143, _12087], _12087))], clausify(d3_tarski)).
% 0.44/1.46  cnf(8, plain, [-(subset(_12087, _12143)), in(2 ^ [_12143, _12087], _12143)], clausify(d3_tarski)).
% 0.44/1.46  cnf(9, plain, [subset(_12087, _12143), in(_12257, _12087), -(in(_12257, _12143))], clausify(d3_tarski)).
% 0.44/1.46  
% 0.44/1.46  cnf('1',plain,[subset(set_union2(5 ^ [], 7 ^ []), 6 ^ [])],start(3)).
% 0.44/1.46  cnf('1.1',plain,[-(subset(set_union2(5 ^ [], 7 ^ []), 6 ^ [])), -(in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], set_union2(5 ^ [], 7 ^ [])))],extension(7,bind([[_12143, _12087], [6 ^ [], set_union2(5 ^ [], 7 ^ [])]]))).
% 0.44/1.46  cnf('1.1.1',plain,[in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], set_union2(5 ^ [], 7 ^ [])), set_union2(5 ^ [], 7 ^ []) = set_union2(5 ^ [], 7 ^ []), -(in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 5 ^ [])), -(in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 7 ^ []))],extension(6,bind([[_11541, _11402, _11705, _11472], [set_union2(5 ^ [], 7 ^ []), 5 ^ [], 2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 7 ^ []]]))).
% 0.44/1.46  cnf('1.1.1.1',plain,[-(set_union2(5 ^ [], 7 ^ []) = set_union2(5 ^ [], 7 ^ [])), 5 ^ [] = 5 ^ [], 7 ^ [] = 7 ^ []],extension(4,bind([[_10102, _10169, _10235, _10300], [5 ^ [], 5 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.44/1.46  cnf('1.1.1.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(5,bind([[_7592], [5 ^ []]]))).
% 0.44/1.46  cnf('1.1.1.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(5,bind([[_7592], [7 ^ []]]))).
% 0.44/1.46  cnf('1.1.1.2',plain,[in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 5 ^ []), subset(5 ^ [], 6 ^ []), -(in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 6 ^ []))],extension(9,bind([[_12087, _12257, _12143], [5 ^ [], 2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 6 ^ []]]))).
% 0.44/1.46  cnf('1.1.1.2.1',plain,[-(subset(5 ^ [], 6 ^ []))],extension(1)).
% 0.44/1.46  cnf('1.1.1.2.2',plain,[in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 6 ^ []), -(subset(set_union2(5 ^ [], 7 ^ []), 6 ^ []))],extension(8,bind([[_12087, _12143], [set_union2(5 ^ [], 7 ^ []), 6 ^ []]]))).
% 0.44/1.46  cnf('1.1.1.2.2.1',plain,[subset(set_union2(5 ^ [], 7 ^ []), 6 ^ [])],extension(3)).
% 0.44/1.46  cnf('1.1.1.3',plain,[in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 7 ^ []), subset(7 ^ [], 6 ^ []), -(in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 6 ^ []))],extension(9,bind([[_12087, _12257, _12143], [7 ^ [], 2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 6 ^ []]]))).
% 0.44/1.46  cnf('1.1.1.3.1',plain,[-(subset(7 ^ [], 6 ^ []))],extension(2)).
% 0.44/1.46  cnf('1.1.1.3.2',plain,[in(2 ^ [6 ^ [], set_union2(5 ^ [], 7 ^ [])], 6 ^ []), -(subset(set_union2(5 ^ [], 7 ^ []), 6 ^ []))],extension(8,bind([[_12087, _12143], [set_union2(5 ^ [], 7 ^ []), 6 ^ []]]))).
% 0.44/1.46  cnf('1.1.1.3.2.1',plain,[subset(set_union2(5 ^ [], 7 ^ []), 6 ^ [])],extension(3)).
% 0.44/1.46  %-----------------------------------------------------
% 0.44/1.47  
% 0.44/1.47  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------