TSTP Solution File: SEU132+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU132+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n029.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 12:00:19 EDT 2022

% Result   : Theorem 0.37s 1.40s
% Output   : Proof 0.37s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU132+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n029.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 : Sat Jun 18 23:04:14 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.37/1.40  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.40  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/1.41  
% 0.37/1.41  %-----------------------------------------------------
% 0.37/1.41  fof(t33_xboole_1, conjecture, ! [_24818, _24821, _24824] : (subset(_24818, _24821) => subset(set_difference(_24818, _24824), set_difference(_24821, _24824))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t33_xboole_1)).
% 0.37/1.41  fof(d3_tarski, axiom, ! [_25048, _25051] : (subset(_25048, _25051) <=> ! [_25069] : (in(_25069, _25048) => in(_25069, _25051))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 0.37/1.41  fof(d4_xboole_0, axiom, ! [_25285, _25288, _25291] : (_25291 = set_difference(_25285, _25288) <=> ! [_25312] : (in(_25312, _25291) <=> in(_25312, _25285) & ~ in(_25312, _25288))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_xboole_0)).
% 0.37/1.41  
% 0.37/1.41  cnf(1, plain, [-(subset(5 ^ [], 6 ^ []))], clausify(t33_xboole_1)).
% 0.37/1.41  cnf(2, plain, [subset(set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []))], clausify(t33_xboole_1)).
% 0.37/1.41  cnf(3, plain, [-(set_difference(_9131, _9264) = set_difference(_9198, _9329)), _9131 = _9198, _9264 = _9329], theory(equality)).
% 0.37/1.41  cnf(4, plain, [-(_6621 = _6621)], theory(equality)).
% 0.37/1.41  cnf(5, plain, [-(subset(_10121, _10177)), -(in(1 ^ [_10177, _10121], _10121))], clausify(d3_tarski)).
% 0.37/1.41  cnf(6, plain, [-(subset(_10121, _10177)), in(1 ^ [_10177, _10121], _10177)], clausify(d3_tarski)).
% 0.37/1.41  cnf(7, plain, [subset(_10121, _10177), in(_10291, _10121), -(in(_10291, _10177))], clausify(d3_tarski)).
% 0.37/1.41  cnf(8, plain, [_10725 = set_difference(_10582, _10654), in(_10891, _10725), -(in(_10891, _10582))], clausify(d4_xboole_0)).
% 0.37/1.41  cnf(9, plain, [_10725 = set_difference(_10582, _10654), in(_10891, _10725), in(_10891, _10654)], clausify(d4_xboole_0)).
% 0.37/1.41  cnf(10, plain, [_10725 = set_difference(_10582, _10654), -(in(_10891, _10725)), in(_10891, _10582), -(in(_10891, _10654))], clausify(d4_xboole_0)).
% 0.37/1.41  
% 0.37/1.41  cnf('1',plain,[subset(set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []))],start(2)).
% 0.37/1.41  cnf('1.1',plain,[-(subset(set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []))), in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))],extension(6,bind([[_10121, _10177], [set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ [])]]))).
% 0.37/1.41  cnf('1.1.1',plain,[-(in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], set_difference(6 ^ [], 7 ^ []))), set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ []), in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], 6 ^ []), -(in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], 7 ^ []))],extension(10,bind([[_10725, _10582, _10891, _10654], [set_difference(6 ^ [], 7 ^ []), 6 ^ [], 1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], 7 ^ []]]))).
% 0.37/1.41  cnf('1.1.1.1',plain,[-(set_difference(6 ^ [], 7 ^ []) = set_difference(6 ^ [], 7 ^ [])), 6 ^ [] = 6 ^ [], 7 ^ [] = 7 ^ []],extension(3,bind([[_9131, _9198, _9264, _9329], [6 ^ [], 6 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.37/1.41  cnf('1.1.1.1.1',plain,[-(6 ^ [] = 6 ^ [])],extension(4,bind([[_6621], [6 ^ []]]))).
% 0.37/1.41  cnf('1.1.1.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_6621], [7 ^ []]]))).
% 0.37/1.41  cnf('1.1.1.2',plain,[-(in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], 6 ^ [])), subset(5 ^ [], 6 ^ []), in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], 5 ^ [])],extension(7,bind([[_10177, _10291, _10121], [6 ^ [], 1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], 5 ^ []]]))).
% 0.37/1.41  cnf('1.1.1.2.1',plain,[-(subset(5 ^ [], 6 ^ []))],extension(1)).
% 0.37/1.41  cnf('1.1.1.2.2',plain,[-(in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], 5 ^ [])), set_difference(5 ^ [], 7 ^ []) = set_difference(5 ^ [], 7 ^ []), in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], set_difference(5 ^ [], 7 ^ []))],extension(8,bind([[_10582, _10654, _10891, _10725], [5 ^ [], 7 ^ [], 1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], set_difference(5 ^ [], 7 ^ [])]]))).
% 0.37/1.41  cnf('1.1.1.2.2.1',plain,[-(set_difference(5 ^ [], 7 ^ []) = set_difference(5 ^ [], 7 ^ []))],extension(4,bind([[_6621], [set_difference(5 ^ [], 7 ^ [])]]))).
% 0.37/1.41  cnf('1.1.1.2.2.2',plain,[-(in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], set_difference(5 ^ [], 7 ^ []))), -(subset(set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ [])))],extension(5,bind([[_10121, _10177], [set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ [])]]))).
% 0.37/1.41  cnf('1.1.1.2.2.2.1',plain,[subset(set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []))],extension(2)).
% 0.37/1.41  cnf('1.1.1.3',plain,[in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], 7 ^ []), set_difference(5 ^ [], 7 ^ []) = set_difference(5 ^ [], 7 ^ []), in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], set_difference(5 ^ [], 7 ^ []))],extension(9,bind([[_10582, _10654, _10891, _10725], [5 ^ [], 7 ^ [], 1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], set_difference(5 ^ [], 7 ^ [])]]))).
% 0.37/1.41  cnf('1.1.1.3.1',plain,[-(set_difference(5 ^ [], 7 ^ []) = set_difference(5 ^ [], 7 ^ [])), 5 ^ [] = 5 ^ [], 7 ^ [] = 7 ^ []],extension(3,bind([[_9131, _9198, _9264, _9329], [5 ^ [], 5 ^ [], 7 ^ [], 7 ^ []]]))).
% 0.37/1.41  cnf('1.1.1.3.1.1',plain,[-(5 ^ [] = 5 ^ [])],extension(4,bind([[_6621], [5 ^ []]]))).
% 0.37/1.41  cnf('1.1.1.3.1.2',plain,[-(7 ^ [] = 7 ^ [])],extension(4,bind([[_6621], [7 ^ []]]))).
% 0.37/1.41  cnf('1.1.1.3.2',plain,[-(in(1 ^ [set_difference(6 ^ [], 7 ^ []), set_difference(5 ^ [], 7 ^ [])], set_difference(5 ^ [], 7 ^ []))), -(subset(set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ [])))],extension(5,bind([[_10121, _10177], [set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ [])]]))).
% 0.37/1.41  cnf('1.1.1.3.2.1',plain,[subset(set_difference(5 ^ [], 7 ^ []), set_difference(6 ^ [], 7 ^ []))],extension(2)).
% 0.37/1.41  %-----------------------------------------------------
% 0.37/1.41  
% 0.37/1.42  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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