TSTP Solution File: SEU194+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU194+1 : TPTP v8.1.0. Released v3.3.0.
% 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 12:00:53 EDT 2022

% Result   : Theorem 0.35s 1.41s
% Output   : Proof 0.35s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU194+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 20 10:53:33 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.35/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.35/1.42  
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.42  fof(t90_relat_1, conjecture, ! [_37136, _37139] : (relation(_37139) => relation_dom(relation_dom_restriction(_37139, _37136)) = set_intersection2(relation_dom(_37139), _37136)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t90_relat_1)).
% 0.35/1.42  fof(d3_xboole_0, axiom, ! [_37348, _37351, _37354] : (_37354 = set_intersection2(_37348, _37351) <=> ! [_37375] : (in(_37375, _37354) <=> in(_37375, _37348) & in(_37375, _37351))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', d3_xboole_0)).
% 0.35/1.42  fof(t86_relat_1, axiom, ! [_37651, _37654, _37657] : (relation(_37657) => (in(_37651, relation_dom(relation_dom_restriction(_37657, _37654))) <=> in(_37651, _37654) & in(_37651, relation_dom(_37657)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t86_relat_1)).
% 0.35/1.42  
% 0.35/1.42  cnf(1, plain, [-(relation(9 ^ []))], clausify(t90_relat_1)).
% 0.35/1.42  cnf(2, plain, [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])) = set_intersection2(relation_dom(9 ^ []), 8 ^ [])], clausify(t90_relat_1)).
% 0.35/1.42  cnf(3, plain, [-(_16178 = set_intersection2(_16039, _16109)), -(in(1 ^ [_16178, _16109, _16039], _16178)), -(in(1 ^ [_16178, _16109, _16039], _16039))], clausify(d3_xboole_0)).
% 0.35/1.42  cnf(4, plain, [-(_16178 = set_intersection2(_16039, _16109)), -(in(1 ^ [_16178, _16109, _16039], _16178)), -(in(1 ^ [_16178, _16109, _16039], _16109))], clausify(d3_xboole_0)).
% 0.35/1.42  cnf(5, plain, [-(_16178 = set_intersection2(_16039, _16109)), in(1 ^ [_16178, _16109, _16039], _16178), in(1 ^ [_16178, _16109, _16039], _16039), in(1 ^ [_16178, _16109, _16039], _16109)], clausify(d3_xboole_0)).
% 0.35/1.42  cnf(6, plain, [relation(_22124), in(_21989, relation_dom(relation_dom_restriction(_22124, _22057))), -(in(_21989, _22057))], clausify(t86_relat_1)).
% 0.35/1.42  cnf(7, plain, [relation(_22124), in(_21989, relation_dom(relation_dom_restriction(_22124, _22057))), -(in(_21989, relation_dom(_22124)))], clausify(t86_relat_1)).
% 0.35/1.42  cnf(8, plain, [relation(_22124), -(in(_21989, relation_dom(relation_dom_restriction(_22124, _22057)))), in(_21989, _22057), in(_21989, relation_dom(_22124))], clausify(t86_relat_1)).
% 0.35/1.42  
% 0.35/1.42  cnf('1',plain,[relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])) = set_intersection2(relation_dom(9 ^ []), 8 ^ [])],start(2)).
% 0.35/1.42  cnf('1.1',plain,[-(relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])) = set_intersection2(relation_dom(9 ^ []), 8 ^ [])), -(in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])))), -(in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], 8 ^ []))],extension(4,bind([[_16178, _16039, _16109], [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), relation_dom(9 ^ []), 8 ^ []]]))).
% 0.35/1.42  cnf('1.1.1',plain,[in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ []))), -(relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])) = set_intersection2(relation_dom(9 ^ []), 8 ^ [])), in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(9 ^ [])), in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], 8 ^ [])],extension(5,bind([[_16178, _16039, _16109], [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), relation_dom(9 ^ []), 8 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.1',plain,[relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])) = set_intersection2(relation_dom(9 ^ []), 8 ^ [])],extension(2)).
% 0.35/1.42  cnf('1.1.1.2',plain,[-(in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(9 ^ []))), relation(9 ^ []), in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])))],extension(7,bind([[_21989, _22124, _22057], [1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], 9 ^ [], 8 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.2.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.35/1.42  cnf('1.1.1.2.2',plain,[-(in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ []))))],reduction('1.1')).
% 0.35/1.42  cnf('1.1.1.3',plain,[-(in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], 8 ^ [])), relation(9 ^ []), in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])))],extension(6,bind([[_21989, _22124, _22057], [1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], 9 ^ [], 8 ^ []]]))).
% 0.35/1.42  cnf('1.1.1.3.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.35/1.42  cnf('1.1.1.3.2',plain,[-(in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ []))))],reduction('1.1')).
% 0.35/1.42  cnf('1.1.2',plain,[in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], 8 ^ []), relation(9 ^ []), -(in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])))), in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(9 ^ []))],extension(8,bind([[_22057, _21989, _22124], [8 ^ [], 1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], 9 ^ []]]))).
% 0.35/1.42  cnf('1.1.2.1',plain,[-(relation(9 ^ []))],extension(1)).
% 0.35/1.42  cnf('1.1.2.2',plain,[in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])))],lemmata('1.1')).
% 0.35/1.42  cnf('1.1.2.3',plain,[-(in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(9 ^ []))), -(relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])) = set_intersection2(relation_dom(9 ^ []), 8 ^ [])), -(in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ []))))],extension(3,bind([[_16109, _16039, _16178], [8 ^ [], relation_dom(9 ^ []), relation_dom(relation_dom_restriction(9 ^ [], 8 ^ []))]]))).
% 0.35/1.42  cnf('1.1.2.3.1',plain,[relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])) = set_intersection2(relation_dom(9 ^ []), 8 ^ [])],extension(2)).
% 0.35/1.42  cnf('1.1.2.3.2',plain,[in(1 ^ [relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])), 8 ^ [], relation_dom(9 ^ [])], relation_dom(relation_dom_restriction(9 ^ [], 8 ^ [])))],lemmata('1.1.2')).
% 0.35/1.42  %-----------------------------------------------------
% 0.35/1.42  
% 0.35/1.42  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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