TSTP Solution File: SEU194+2 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : SEU194+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n010.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 3.49s 4.55s
% Output   : Proof 3.49s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SEU194+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14  % Command  : leancop_casc.sh %s %d
% 0.14/0.35  % Computer : n010.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Mon Jun 20 11:01:07 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 3.49/4.55  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.49/4.56  % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.49/4.57  
% 3.49/4.57  %-----------------------------------------------------
% 3.49/4.57  fof(t90_relat_1, conjecture, ! [_246988, _246991] : (relation(_246991) => relation_dom(relation_dom_restriction(_246991, _246988)) = set_intersection2(relation_dom(_246991), _246988)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t90_relat_1)).
% 3.49/4.57  fof(d3_xboole_0, axiom, ! [_247293, _247296, _247299] : (_247299 = set_intersection2(_247293, _247296) <=> ! [_247320] : (in(_247320, _247299) <=> in(_247320, _247293) & in(_247320, _247296))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', d3_xboole_0)).
% 3.49/4.57  fof(t86_relat_1, lemma, ! [_247788, _247791, _247794] : (relation(_247794) => (in(_247788, relation_dom(relation_dom_restriction(_247794, _247791))) <=> in(_247788, _247791) & in(_247788, relation_dom(_247794)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', t86_relat_1)).
% 3.49/4.57  
% 3.49/4.57  cnf(1, plain, [-(relation(59 ^ []))], clausify(t90_relat_1)).
% 3.49/4.57  cnf(2, plain, [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])) = set_intersection2(relation_dom(59 ^ []), 58 ^ [])], clausify(t90_relat_1)).
% 3.49/4.57  cnf(3, plain, [-(_111072 = set_intersection2(_110933, _111003)), -(in(24 ^ [_111072, _111003, _110933], _111072)), -(in(24 ^ [_111072, _111003, _110933], _110933))], clausify(d3_xboole_0)).
% 3.49/4.57  cnf(4, plain, [-(_111072 = set_intersection2(_110933, _111003)), -(in(24 ^ [_111072, _111003, _110933], _111072)), -(in(24 ^ [_111072, _111003, _110933], _111003))], clausify(d3_xboole_0)).
% 3.49/4.57  cnf(5, plain, [-(_111072 = set_intersection2(_110933, _111003)), in(24 ^ [_111072, _111003, _110933], _111072), in(24 ^ [_111072, _111003, _110933], _110933), in(24 ^ [_111072, _111003, _110933], _111003)], clausify(d3_xboole_0)).
% 3.49/4.57  cnf(6, plain, [relation(_171467), in(_171332, relation_dom(relation_dom_restriction(_171467, _171400))), -(in(_171332, _171400))], clausify(t86_relat_1)).
% 3.49/4.57  cnf(7, plain, [relation(_171467), in(_171332, relation_dom(relation_dom_restriction(_171467, _171400))), -(in(_171332, relation_dom(_171467)))], clausify(t86_relat_1)).
% 3.49/4.57  cnf(8, plain, [relation(_171467), -(in(_171332, relation_dom(relation_dom_restriction(_171467, _171400)))), in(_171332, _171400), in(_171332, relation_dom(_171467))], clausify(t86_relat_1)).
% 3.49/4.57  
% 3.49/4.57  cnf('1',plain,[relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])) = set_intersection2(relation_dom(59 ^ []), 58 ^ [])],start(2)).
% 3.49/4.57  cnf('1.1',plain,[-(relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])) = set_intersection2(relation_dom(59 ^ []), 58 ^ [])), -(in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])))), -(in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], 58 ^ []))],extension(4,bind([[_111072, _110933, _111003], [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), relation_dom(59 ^ []), 58 ^ []]]))).
% 3.49/4.57  cnf('1.1.1',plain,[in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ []))), -(relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])) = set_intersection2(relation_dom(59 ^ []), 58 ^ [])), in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(59 ^ [])), in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], 58 ^ [])],extension(5,bind([[_111072, _110933, _111003], [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), relation_dom(59 ^ []), 58 ^ []]]))).
% 3.49/4.57  cnf('1.1.1.1',plain,[relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])) = set_intersection2(relation_dom(59 ^ []), 58 ^ [])],extension(2)).
% 3.49/4.57  cnf('1.1.1.2',plain,[-(in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(59 ^ []))), relation(59 ^ []), in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])))],extension(7,bind([[_171332, _171467, _171400], [24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], 59 ^ [], 58 ^ []]]))).
% 3.49/4.57  cnf('1.1.1.2.1',plain,[-(relation(59 ^ []))],extension(1)).
% 3.49/4.57  cnf('1.1.1.2.2',plain,[-(in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ []))))],reduction('1.1')).
% 3.49/4.57  cnf('1.1.1.3',plain,[-(in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], 58 ^ [])), relation(59 ^ []), in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])))],extension(6,bind([[_171332, _171467, _171400], [24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], 59 ^ [], 58 ^ []]]))).
% 3.49/4.57  cnf('1.1.1.3.1',plain,[-(relation(59 ^ []))],extension(1)).
% 3.49/4.57  cnf('1.1.1.3.2',plain,[-(in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ []))))],reduction('1.1')).
% 3.49/4.57  cnf('1.1.2',plain,[in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], 58 ^ []), relation(59 ^ []), -(in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])))), in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(59 ^ []))],extension(8,bind([[_171400, _171332, _171467], [58 ^ [], 24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], 59 ^ []]]))).
% 3.49/4.57  cnf('1.1.2.1',plain,[-(relation(59 ^ []))],extension(1)).
% 3.49/4.57  cnf('1.1.2.2',plain,[in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])))],lemmata('1.1')).
% 3.49/4.57  cnf('1.1.2.3',plain,[-(in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(59 ^ []))), -(relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])) = set_intersection2(relation_dom(59 ^ []), 58 ^ [])), -(in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ []))))],extension(3,bind([[_111003, _110933, _111072], [58 ^ [], relation_dom(59 ^ []), relation_dom(relation_dom_restriction(59 ^ [], 58 ^ []))]]))).
% 3.49/4.57  cnf('1.1.2.3.1',plain,[relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])) = set_intersection2(relation_dom(59 ^ []), 58 ^ [])],extension(2)).
% 3.49/4.57  cnf('1.1.2.3.2',plain,[in(24 ^ [relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])), 58 ^ [], relation_dom(59 ^ [])], relation_dom(relation_dom_restriction(59 ^ [], 58 ^ [])))],lemmata('1.1.2')).
% 3.49/4.57  %-----------------------------------------------------
% 3.49/4.57  
% 3.49/4.57  % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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