TSTP Solution File: SEU223+2 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : SEU223+2 : 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 12:01:09 EDT 2022
% Result : Theorem 0.50s 1.42s
% Output : Proof 0.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU223+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 07:35:37 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.50/1.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/1.42 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/1.43
% 0.50/1.43 %-----------------------------------------------------
% 0.50/1.43 fof(t70_funct_1, conjecture, ! [_344195, _344198, _344201] : (relation(_344201) & function(_344201) => in(_344198, relation_dom(relation_dom_restriction(_344201, _344195))) => apply(relation_dom_restriction(_344201, _344195), _344198) = apply(_344201, _344198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t70_funct_1)).
% 0.50/1.43 fof(dt_k7_relat_1, axiom, ! [_344715, _344718] : (relation(_344715) => relation(relation_dom_restriction(_344715, _344718))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', dt_k7_relat_1)).
% 0.50/1.43 fof(fc4_funct_1, axiom, ! [_344891, _344894] : (relation(_344891) & function(_344891) => relation(relation_dom_restriction(_344891, _344894)) & function(relation_dom_restriction(_344891, _344894))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fc4_funct_1)).
% 0.50/1.43 fof(t68_funct_1, lemma, ! [_345294, _345297] : (relation(_345297) & function(_345297) => ! [_345319] : (relation(_345319) & function(_345319) => (_345297 = relation_dom_restriction(_345319, _345294) <=> relation_dom(_345297) = set_intersection2(relation_dom(_345319), _345294) & ! [_345375] : (in(_345375, relation_dom(_345297)) => apply(_345297, _345375) = apply(_345319, _345375))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', t68_funct_1)).
% 0.50/1.43
% 0.50/1.43 cnf(1, plain, [-(relation(82 ^ []))], clausify(t70_funct_1)).
% 0.50/1.43 cnf(2, plain, [-(function(82 ^ []))], clausify(t70_funct_1)).
% 0.50/1.43 cnf(3, plain, [-(in(81 ^ [], relation_dom(relation_dom_restriction(82 ^ [], 80 ^ []))))], clausify(t70_funct_1)).
% 0.50/1.43 cnf(4, plain, [apply(relation_dom_restriction(82 ^ [], 80 ^ []), 81 ^ []) = apply(82 ^ [], 81 ^ [])], clausify(t70_funct_1)).
% 0.50/1.43 cnf(5, plain, [-(_116818 = _116818)], theory(equality)).
% 0.50/1.43 cnf(6, plain, [relation(_169658), -(relation(relation_dom_restriction(_169658, _169704)))], clausify(dt_k7_relat_1)).
% 0.50/1.43 cnf(7, plain, [-(function(relation_dom_restriction(_176388, _176447))), relation(_176388), function(_176388)], clausify(fc4_funct_1)).
% 0.50/1.43 cnf(8, plain, [function(_232919), relation(_232919), function(_233114), relation(_233114), _232919 = relation_dom_restriction(_233114, _232814), in(_233522, relation_dom(_232919)), -(apply(_232919, _233522) = apply(_233114, _233522))], clausify(t68_funct_1)).
% 0.50/1.43
% 0.50/1.43 cnf('1',plain,[apply(relation_dom_restriction(82 ^ [], 80 ^ []), 81 ^ []) = apply(82 ^ [], 81 ^ [])],start(4)).
% 0.50/1.43 cnf('1.1',plain,[-(apply(relation_dom_restriction(82 ^ [], 80 ^ []), 81 ^ []) = apply(82 ^ [], 81 ^ [])), function(relation_dom_restriction(82 ^ [], 80 ^ [])), relation(relation_dom_restriction(82 ^ [], 80 ^ [])), function(82 ^ []), relation(82 ^ []), relation_dom_restriction(82 ^ [], 80 ^ []) = relation_dom_restriction(82 ^ [], 80 ^ []), in(81 ^ [], relation_dom(relation_dom_restriction(82 ^ [], 80 ^ [])))],extension(8,bind([[_233114, _232814, _233522, _232919], [82 ^ [], 80 ^ [], 81 ^ [], relation_dom_restriction(82 ^ [], 80 ^ [])]]))).
% 0.50/1.43 cnf('1.1.1',plain,[-(function(relation_dom_restriction(82 ^ [], 80 ^ []))), relation(82 ^ []), function(82 ^ [])],extension(7,bind([[_176447, _176388], [80 ^ [], 82 ^ []]]))).
% 0.50/1.43 cnf('1.1.1.1',plain,[-(relation(82 ^ []))],extension(1)).
% 0.50/1.43 cnf('1.1.1.2',plain,[-(function(82 ^ []))],extension(2)).
% 0.50/1.43 cnf('1.1.2',plain,[-(relation(relation_dom_restriction(82 ^ [], 80 ^ []))), relation(82 ^ [])],extension(6,bind([[_169704, _169658], [80 ^ [], 82 ^ []]]))).
% 0.50/1.43 cnf('1.1.2.1',plain,[-(relation(82 ^ []))],extension(1)).
% 0.50/1.43 cnf('1.1.3',plain,[-(function(82 ^ []))],extension(2)).
% 0.50/1.43 cnf('1.1.4',plain,[-(relation(82 ^ []))],extension(1)).
% 0.50/1.43 cnf('1.1.5',plain,[-(relation_dom_restriction(82 ^ [], 80 ^ []) = relation_dom_restriction(82 ^ [], 80 ^ []))],extension(5,bind([[_116818], [relation_dom_restriction(82 ^ [], 80 ^ [])]]))).
% 0.50/1.43 cnf('1.1.6',plain,[-(in(81 ^ [], relation_dom(relation_dom_restriction(82 ^ [], 80 ^ []))))],extension(3)).
% 0.50/1.43 %-----------------------------------------------------
% 0.50/1.43
% 0.50/1.43 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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