TSTP Solution File: SEU209+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU209+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n025.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 12:01:01 EDT 2022

% Result   : Theorem 84.63s 82.22s
% Output   : Proof 84.72s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU209+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12  % Command  : leancop_casc.sh %s %d
% 0.12/0.33  % Computer : n025.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 : Sun Jun 19 01:46:28 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 84.63/82.22  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.71/82.23  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 84.71/82.24  
% 84.71/82.24  %-----------------------------------------------------
% 84.71/82.24  fof(t167_relat_1, conjecture, ! [_281580, _281583] : (relation(_281583) => subset(relation_inverse_image(_281583, _281580), relation_dom(_281583))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t167_relat_1)).
% 84.71/82.24  fof(d14_relat_1, axiom, ! [_281836] : (relation(_281836) => ! [_281851, _281854] : (_281854 = relation_inverse_image(_281836, _281851) <=> ! [_281875] : (in(_281875, _281854) <=> ? [_281893] : (in(ordered_pair(_281875, _281893), _281836) & in(_281893, _281851))))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d14_relat_1)).
% 84.71/82.24  fof(d3_tarski, axiom, ! [_282234, _282237] : (subset(_282234, _282237) <=> ! [_282255] : (in(_282255, _282234) => in(_282255, _282237))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_tarski)).
% 84.71/82.24  fof(d4_relat_1, axiom, ! [_282458] : (relation(_282458) => ! [_282473] : (_282473 = relation_dom(_282458) <=> ! [_282491] : (in(_282491, _282473) <=> ? [_282509] : in(ordered_pair(_282491, _282509), _282458)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d4_relat_1)).
% 84.71/82.24  
% 84.71/82.24  cnf(1, plain, [-(relation(71 ^ []))], clausify(t167_relat_1)).
% 84.71/82.24  cnf(2, plain, [subset(relation_inverse_image(71 ^ [], 70 ^ []), relation_dom(71 ^ []))], clausify(t167_relat_1)).
% 84.71/82.24  cnf(3, plain, [-(_94561 = _94561)], theory(equality)).
% 84.71/82.24  cnf(4, plain, [relation(_119910), _120108 = relation_inverse_image(_119910, _120031), in(_120280, _120108), -(in(ordered_pair(_120280, 10 ^ [_120280, _120108, _120031, _119910]), _119910))], clausify(d14_relat_1)).
% 84.71/82.24  cnf(5, plain, [-(subset(_128204, _128260)), -(in(33 ^ [_128260, _128204], _128204))], clausify(d3_tarski)).
% 84.71/82.24  cnf(6, plain, [-(subset(_128204, _128260)), in(33 ^ [_128260, _128204], _128260)], clausify(d3_tarski)).
% 84.71/82.24  cnf(7, plain, [relation(_129350), _129459 = relation_dom(_129350), -(in(_129599, _129459)), in(ordered_pair(_129599, _129715), _129350)], clausify(d4_relat_1)).
% 84.71/82.24  
% 84.71/82.24  cnf('1',plain,[subset(relation_inverse_image(71 ^ [], 70 ^ []), relation_dom(71 ^ []))],start(2)).
% 84.71/82.24  cnf('1.1',plain,[-(subset(relation_inverse_image(71 ^ [], 70 ^ []), relation_dom(71 ^ []))), -(in(33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], relation_inverse_image(71 ^ [], 70 ^ [])))],extension(5,bind([[_128260, _128204], [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 84.71/82.24  cnf('1.1.1',plain,[in(33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], relation_inverse_image(71 ^ [], 70 ^ [])), relation(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []), -(in(ordered_pair(33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], 10 ^ [33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []))],extension(4,bind([[_120280, _120108, _120031, _119910], [33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]]))).
% 84.71/82.24  cnf('1.1.1.1',plain,[-(relation(71 ^ []))],extension(1)).
% 84.71/82.24  cnf('1.1.1.2',plain,[-(relation_inverse_image(71 ^ [], 70 ^ []) = relation_inverse_image(71 ^ [], 70 ^ []))],extension(3,bind([[_94561], [relation_inverse_image(71 ^ [], 70 ^ [])]]))).
% 84.71/82.24  cnf('1.1.1.3',plain,[in(ordered_pair(33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], 10 ^ [33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []]), 71 ^ []), relation(71 ^ []), relation_dom(71 ^ []) = relation_dom(71 ^ []), -(in(33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], relation_dom(71 ^ [])))],extension(7,bind([[_129715, _129350, _129599, _129459], [10 ^ [33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], relation_inverse_image(71 ^ [], 70 ^ []), 70 ^ [], 71 ^ []], 71 ^ [], 33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], relation_dom(71 ^ [])]]))).
% 84.71/82.24  cnf('1.1.1.3.1',plain,[-(relation(71 ^ []))],extension(1)).
% 84.71/82.24  cnf('1.1.1.3.2',plain,[-(relation_dom(71 ^ []) = relation_dom(71 ^ []))],extension(3,bind([[_94561], [relation_dom(71 ^ [])]]))).
% 84.71/82.24  cnf('1.1.1.3.3',plain,[in(33 ^ [relation_dom(71 ^ []), relation_inverse_image(71 ^ [], 70 ^ [])], relation_dom(71 ^ [])), -(subset(relation_inverse_image(71 ^ [], 70 ^ []), relation_dom(71 ^ [])))],extension(6,bind([[_128204, _128260], [relation_inverse_image(71 ^ [], 70 ^ []), relation_dom(71 ^ [])]]))).
% 84.71/82.24  cnf('1.1.1.3.3.1',plain,[subset(relation_inverse_image(71 ^ [], 70 ^ []), relation_dom(71 ^ []))],extension(2)).
% 84.71/82.24  %-----------------------------------------------------
% 84.72/82.24  
% 84.72/82.25  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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