TSTP Solution File: SEU363+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU363+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 : 300s
% DateTime : Tue Apr 30 20:42:05 EDT 2024
% Result : Theorem 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SEU363+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n018.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 : 300
% 0.14/0.35 % DateTime : Mon Apr 29 20:01:43 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.41 fof(f3,axiom,(
% 0.14/0.41 (! [A,B,C] :( element(C,powerset(cartesian_product2(A,B)))=> relation(C) ) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f5,axiom,(
% 0.14/0.41 (! [A] :( rel_str(A)=> (! [B] :( subrelstr(B,A)=> ( full_subrelstr(B,A)<=> the_InternalRel(B) = relation_restriction_as_relation_of(the_InternalRel(A),the_carrier(B)) ) ) )) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f6,axiom,(
% 0.14/0.41 (! [A] :( rel_str(A)=> (! [B] :( element(B,the_carrier(A))=> (! [C] :( element(C,the_carrier(A))=> ( related(A,B,C)<=> in(ordered_pair(B,C),the_InternalRel(A)) ) ) )) )) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f17,axiom,(
% 0.14/0.41 (! [A] :( rel_str(A)=> (! [B] :( subrelstr(B,A)=> rel_str(B) ) )) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f18,axiom,(
% 0.14/0.41 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> element(C,powerset(cartesian_product2(A,B))) ) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f19,axiom,(
% 0.14/0.41 (! [A] :( rel_str(A)=> relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)) ) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f34,axiom,(
% 0.14/0.41 (! [A,B] :( relation(A)=> relation_restriction_as_relation_of(A,B) = relation_restriction(A,B) ) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f37,axiom,(
% 0.14/0.41 (! [A,B,C,D] :( in(ordered_pair(A,B),cartesian_product2(C,D))<=> ( in(A,C)& in(B,D) ) ) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f38,axiom,(
% 0.14/0.41 (! [A,B,C] :( relation(C)=> ( in(A,relation_restriction(C,B))<=> ( in(A,C)& in(A,cartesian_product2(B,B)) ) ) ) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f44,conjecture,(
% 0.14/0.41 (! [A] :( rel_str(A)=> (! [B] :( ( full_subrelstr(B,A)& subrelstr(B,A) )=> (! [C] :( element(C,the_carrier(A))=> (! [D] :( element(D,the_carrier(A))=> (! [E] :( element(E,the_carrier(B))=> (! [F] :( element(F,the_carrier(B))=> ( ( E = C& F = D& related(A,C,D)& in(E,the_carrier(B))& in(F,the_carrier(B)) )=> related(B,E,F) ) ) )) )) )) )) )) )),
% 0.14/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.41 fof(f45,negated_conjecture,(
% 0.14/0.41 ~((! [A] :( rel_str(A)=> (! [B] :( ( full_subrelstr(B,A)& subrelstr(B,A) )=> (! [C] :( element(C,the_carrier(A))=> (! [D] :( element(D,the_carrier(A))=> (! [E] :( element(E,the_carrier(B))=> (! [F] :( element(F,the_carrier(B))=> ( ( E = C& F = D& related(A,C,D)& in(E,the_carrier(B))& in(F,the_carrier(B)) )=> related(B,E,F) ) ) )) )) )) )) )) ))),
% 0.14/0.41 inference(negated_conjecture,[status(cth)],[f44])).
% 0.14/0.41 fof(f53,plain,(
% 0.14/0.41 ![A,B,C]: (~element(C,powerset(cartesian_product2(A,B)))|relation(C))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.14/0.41 fof(f54,plain,(
% 0.14/0.41 ![C]: ((![A,B]: ~element(C,powerset(cartesian_product2(A,B))))|relation(C))),
% 0.14/0.41 inference(miniscoping,[status(esa)],[f53])).
% 0.14/0.41 fof(f55,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~element(X0,powerset(cartesian_product2(X1,X2)))|relation(X0))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f54])).
% 0.14/0.41 fof(f58,plain,(
% 0.14/0.41 ![A]: (~rel_str(A)|(![B]: (~subrelstr(B,A)|(full_subrelstr(B,A)<=>the_InternalRel(B)=relation_restriction_as_relation_of(the_InternalRel(A),the_carrier(B))))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.14/0.41 fof(f59,plain,(
% 0.14/0.41 ![A]: (~rel_str(A)|(![B]: (~subrelstr(B,A)|((~full_subrelstr(B,A)|the_InternalRel(B)=relation_restriction_as_relation_of(the_InternalRel(A),the_carrier(B)))&(full_subrelstr(B,A)|~the_InternalRel(B)=relation_restriction_as_relation_of(the_InternalRel(A),the_carrier(B)))))))),
% 0.14/0.41 inference(NNF_transformation,[status(esa)],[f58])).
% 0.14/0.41 fof(f60,plain,(
% 0.14/0.41 ![X0,X1]: (~rel_str(X0)|~subrelstr(X1,X0)|~full_subrelstr(X1,X0)|the_InternalRel(X1)=relation_restriction_as_relation_of(the_InternalRel(X0),the_carrier(X1)))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f59])).
% 0.14/0.41 fof(f62,plain,(
% 0.14/0.41 ![A]: (~rel_str(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|(related(A,B,C)<=>in(ordered_pair(B,C),the_InternalRel(A))))))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.14/0.41 fof(f63,plain,(
% 0.14/0.41 ![A]: (~rel_str(A)|(![B]: (~element(B,the_carrier(A))|(![C]: (~element(C,the_carrier(A))|((~related(A,B,C)|in(ordered_pair(B,C),the_InternalRel(A)))&(related(A,B,C)|~in(ordered_pair(B,C),the_InternalRel(A)))))))))),
% 0.14/0.41 inference(NNF_transformation,[status(esa)],[f62])).
% 0.14/0.41 fof(f64,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|~related(X0,X1,X2)|in(ordered_pair(X1,X2),the_InternalRel(X0)))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f63])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~rel_str(X0)|~element(X1,the_carrier(X0))|~element(X2,the_carrier(X0))|related(X0,X1,X2)|~in(ordered_pair(X1,X2),the_InternalRel(X0)))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f63])).
% 0.14/0.41 fof(f74,plain,(
% 0.14/0.41 ![A]: (~rel_str(A)|(![B]: (~subrelstr(B,A)|rel_str(B))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.14/0.41 fof(f75,plain,(
% 0.14/0.41 ![X0,X1]: (~rel_str(X0)|~subrelstr(X1,X0)|rel_str(X1))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f74])).
% 0.14/0.41 fof(f76,plain,(
% 0.14/0.41 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(esa)],[f18])).
% 0.14/0.41 fof(f77,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|element(X0,powerset(cartesian_product2(X1,X2))))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f76])).
% 0.14/0.41 fof(f78,plain,(
% 0.14/0.41 ![A]: (~rel_str(A)|relation_of2_as_subset(the_InternalRel(A),the_carrier(A),the_carrier(A)))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(esa)],[f19])).
% 0.14/0.41 fof(f79,plain,(
% 0.14/0.41 ![X0]: (~rel_str(X0)|relation_of2_as_subset(the_InternalRel(X0),the_carrier(X0),the_carrier(X0)))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f78])).
% 0.14/0.41 fof(f113,plain,(
% 0.14/0.41 ![A,B]: (~relation(A)|relation_restriction_as_relation_of(A,B)=relation_restriction(A,B))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(esa)],[f34])).
% 0.14/0.41 fof(f114,plain,(
% 0.14/0.41 ![A]: (~relation(A)|(![B]: relation_restriction_as_relation_of(A,B)=relation_restriction(A,B)))),
% 0.14/0.41 inference(miniscoping,[status(esa)],[f113])).
% 0.14/0.41 fof(f115,plain,(
% 0.14/0.41 ![X0,X1]: (~relation(X0)|relation_restriction_as_relation_of(X0,X1)=relation_restriction(X0,X1))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f114])).
% 0.14/0.41 fof(f122,plain,(
% 0.14/0.41 ![A,B,C,D]: ((~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D)))&(in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.14/0.41 inference(NNF_transformation,[status(esa)],[f37])).
% 0.14/0.41 fof(f123,plain,(
% 0.14/0.41 (![A,B,C,D]: (~in(ordered_pair(A,B),cartesian_product2(C,D))|(in(A,C)&in(B,D))))&(![A,B,C,D]: (in(ordered_pair(A,B),cartesian_product2(C,D))|(~in(A,C)|~in(B,D))))),
% 0.14/0.41 inference(miniscoping,[status(esa)],[f122])).
% 0.14/0.41 fof(f126,plain,(
% 0.14/0.41 ![X0,X1,X2,X3]: (in(ordered_pair(X0,X1),cartesian_product2(X2,X3))|~in(X0,X2)|~in(X1,X3))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f123])).
% 0.14/0.41 fof(f127,plain,(
% 0.14/0.41 ![A,B,C]: (~relation(C)|(in(A,relation_restriction(C,B))<=>(in(A,C)&in(A,cartesian_product2(B,B)))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.14/0.41 fof(f128,plain,(
% 0.14/0.41 ![A,B,C]: (~relation(C)|((~in(A,relation_restriction(C,B))|(in(A,C)&in(A,cartesian_product2(B,B))))&(in(A,relation_restriction(C,B))|(~in(A,C)|~in(A,cartesian_product2(B,B))))))),
% 0.14/0.41 inference(NNF_transformation,[status(esa)],[f127])).
% 0.14/0.41 fof(f129,plain,(
% 0.14/0.41 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_restriction(C,B))|(in(A,C)&in(A,cartesian_product2(B,B)))))&(![A,B]: (in(A,relation_restriction(C,B))|(~in(A,C)|~in(A,cartesian_product2(B,B)))))))),
% 0.14/0.41 inference(miniscoping,[status(esa)],[f128])).
% 0.14/0.41 fof(f132,plain,(
% 0.14/0.41 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_restriction(X0,X2))|~in(X1,X0)|~in(X1,cartesian_product2(X2,X2)))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f129])).
% 0.14/0.41 fof(f147,plain,(
% 0.14/0.41 (?[A]: (rel_str(A)&(?[B]: ((full_subrelstr(B,A)&subrelstr(B,A))&(?[C]: (element(C,the_carrier(A))&(?[D]: (element(D,the_carrier(A))&(?[E]: (element(E,the_carrier(B))&(?[F]: (element(F,the_carrier(B))&(((((E=C&F=D)&related(A,C,D))&in(E,the_carrier(B)))&in(F,the_carrier(B)))&~related(B,E,F))))))))))))))),
% 0.14/0.41 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.14/0.41 fof(f148,plain,(
% 0.14/0.41 (rel_str(sk0_11)&((full_subrelstr(sk0_12,sk0_11)&subrelstr(sk0_12,sk0_11))&(element(sk0_13,the_carrier(sk0_11))&(element(sk0_14,the_carrier(sk0_11))&(element(sk0_15,the_carrier(sk0_12))&(element(sk0_16,the_carrier(sk0_12))&(((((sk0_15=sk0_13&sk0_16=sk0_14)&related(sk0_11,sk0_13,sk0_14))&in(sk0_15,the_carrier(sk0_12)))&in(sk0_16,the_carrier(sk0_12)))&~related(sk0_12,sk0_15,sk0_16))))))))),
% 0.14/0.41 inference(skolemization,[status(esa)],[f147])).
% 0.14/0.41 fof(f149,plain,(
% 0.14/0.41 rel_str(sk0_11)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f150,plain,(
% 0.14/0.41 full_subrelstr(sk0_12,sk0_11)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f151,plain,(
% 0.14/0.41 subrelstr(sk0_12,sk0_11)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f152,plain,(
% 0.14/0.41 element(sk0_13,the_carrier(sk0_11))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f153,plain,(
% 0.14/0.41 element(sk0_14,the_carrier(sk0_11))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f154,plain,(
% 0.14/0.41 element(sk0_15,the_carrier(sk0_12))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f155,plain,(
% 0.14/0.41 element(sk0_16,the_carrier(sk0_12))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f156,plain,(
% 0.14/0.41 sk0_15=sk0_13),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f157,plain,(
% 0.14/0.41 sk0_16=sk0_14),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f158,plain,(
% 0.14/0.41 related(sk0_11,sk0_13,sk0_14)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f159,plain,(
% 0.14/0.41 in(sk0_15,the_carrier(sk0_12))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f160,plain,(
% 0.14/0.41 in(sk0_16,the_carrier(sk0_12))),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f161,plain,(
% 0.14/0.41 ~related(sk0_12,sk0_15,sk0_16)),
% 0.14/0.41 inference(cnf_transformation,[status(esa)],[f148])).
% 0.14/0.41 fof(f170,plain,(
% 0.14/0.41 element(sk0_13,the_carrier(sk0_12))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f156,f154])).
% 0.14/0.41 fof(f171,plain,(
% 0.14/0.41 element(sk0_14,the_carrier(sk0_12))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f157,f155])).
% 0.14/0.41 fof(f172,plain,(
% 0.14/0.41 in(sk0_13,the_carrier(sk0_12))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f156,f159])).
% 0.14/0.41 fof(f175,plain,(
% 0.14/0.41 in(sk0_14,the_carrier(sk0_12))),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f157,f160])).
% 0.14/0.41 fof(f178,plain,(
% 0.14/0.41 ~related(sk0_12,sk0_13,sk0_16)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f156,f161])).
% 0.14/0.41 fof(f179,plain,(
% 0.14/0.41 ~related(sk0_12,sk0_13,sk0_14)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f157,f178])).
% 0.14/0.41 fof(f180,plain,(
% 0.14/0.41 spl0_0 <=> rel_str(sk0_11)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f182,plain,(
% 0.14/0.41 ~rel_str(sk0_11)|spl0_0),
% 0.14/0.41 inference(component_clause,[status(thm)],[f180])).
% 0.14/0.41 fof(f183,plain,(
% 0.14/0.41 spl0_1 <=> subrelstr(sk0_12,sk0_11)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f185,plain,(
% 0.14/0.41 ~subrelstr(sk0_12,sk0_11)|spl0_1),
% 0.14/0.41 inference(component_clause,[status(thm)],[f183])).
% 0.14/0.41 fof(f186,plain,(
% 0.14/0.41 spl0_2 <=> the_InternalRel(sk0_12)=relation_restriction_as_relation_of(the_InternalRel(sk0_11),the_carrier(sk0_12))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f187,plain,(
% 0.14/0.41 the_InternalRel(sk0_12)=relation_restriction_as_relation_of(the_InternalRel(sk0_11),the_carrier(sk0_12))|~spl0_2),
% 0.14/0.41 inference(component_clause,[status(thm)],[f186])).
% 0.14/0.41 fof(f189,plain,(
% 0.14/0.41 ~rel_str(sk0_11)|~subrelstr(sk0_12,sk0_11)|the_InternalRel(sk0_12)=relation_restriction_as_relation_of(the_InternalRel(sk0_11),the_carrier(sk0_12))),
% 0.14/0.41 inference(resolution,[status(thm)],[f60,f150])).
% 0.14/0.41 fof(f190,plain,(
% 0.14/0.41 ~spl0_0|~spl0_1|spl0_2),
% 0.14/0.41 inference(split_clause,[status(thm)],[f189,f180,f183,f186])).
% 0.14/0.41 fof(f191,plain,(
% 0.14/0.41 $false|spl0_1),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f185,f151])).
% 0.14/0.41 fof(f192,plain,(
% 0.14/0.41 spl0_1),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f191])).
% 0.14/0.41 fof(f193,plain,(
% 0.14/0.41 $false|spl0_0),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f182,f149])).
% 0.14/0.41 fof(f194,plain,(
% 0.14/0.41 spl0_0),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f193])).
% 0.14/0.41 fof(f206,plain,(
% 0.14/0.41 spl0_4 <=> element(sk0_13,the_carrier(sk0_11))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f208,plain,(
% 0.14/0.41 ~element(sk0_13,the_carrier(sk0_11))|spl0_4),
% 0.14/0.41 inference(component_clause,[status(thm)],[f206])).
% 0.14/0.41 fof(f209,plain,(
% 0.14/0.41 spl0_5 <=> element(sk0_14,the_carrier(sk0_11))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f211,plain,(
% 0.14/0.41 ~element(sk0_14,the_carrier(sk0_11))|spl0_5),
% 0.14/0.41 inference(component_clause,[status(thm)],[f209])).
% 0.14/0.41 fof(f212,plain,(
% 0.14/0.41 spl0_6 <=> in(ordered_pair(sk0_13,sk0_14),the_InternalRel(sk0_11))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f213,plain,(
% 0.14/0.41 in(ordered_pair(sk0_13,sk0_14),the_InternalRel(sk0_11))|~spl0_6),
% 0.14/0.41 inference(component_clause,[status(thm)],[f212])).
% 0.14/0.41 fof(f215,plain,(
% 0.14/0.41 ~rel_str(sk0_11)|~element(sk0_13,the_carrier(sk0_11))|~element(sk0_14,the_carrier(sk0_11))|in(ordered_pair(sk0_13,sk0_14),the_InternalRel(sk0_11))),
% 0.14/0.41 inference(resolution,[status(thm)],[f64,f158])).
% 0.14/0.41 fof(f216,plain,(
% 0.14/0.41 ~spl0_0|~spl0_4|~spl0_5|spl0_6),
% 0.14/0.41 inference(split_clause,[status(thm)],[f215,f180,f206,f209,f212])).
% 0.14/0.41 fof(f217,plain,(
% 0.14/0.41 $false|spl0_5),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f211,f153])).
% 0.14/0.41 fof(f218,plain,(
% 0.14/0.41 spl0_5),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f217])).
% 0.14/0.41 fof(f219,plain,(
% 0.14/0.41 $false|spl0_4),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f208,f152])).
% 0.14/0.41 fof(f220,plain,(
% 0.14/0.41 spl0_4),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f219])).
% 0.14/0.41 fof(f228,plain,(
% 0.14/0.41 spl0_8 <=> rel_str(sk0_12)),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f231,plain,(
% 0.14/0.41 ~rel_str(sk0_11)|rel_str(sk0_12)),
% 0.14/0.41 inference(resolution,[status(thm)],[f75,f151])).
% 0.14/0.41 fof(f232,plain,(
% 0.14/0.41 ~spl0_0|spl0_8),
% 0.14/0.41 inference(split_clause,[status(thm)],[f231,f180,f228])).
% 0.14/0.41 fof(f347,plain,(
% 0.14/0.41 relation_of2_as_subset(the_InternalRel(sk0_11),the_carrier(sk0_11),the_carrier(sk0_11))),
% 0.14/0.41 inference(resolution,[status(thm)],[f79,f149])).
% 0.14/0.41 fof(f348,plain,(
% 0.14/0.41 element(the_InternalRel(sk0_11),powerset(cartesian_product2(the_carrier(sk0_11),the_carrier(sk0_11))))),
% 0.14/0.41 inference(resolution,[status(thm)],[f347,f77])).
% 0.14/0.41 fof(f421,plain,(
% 0.14/0.41 ![X0,X1]: (in(ordered_pair(sk0_13,X0),cartesian_product2(the_carrier(sk0_12),X1))|~in(X0,X1))),
% 0.14/0.41 inference(resolution,[status(thm)],[f126,f172])).
% 0.14/0.41 fof(f560,plain,(
% 0.14/0.41 relation(the_InternalRel(sk0_11))),
% 0.14/0.41 inference(resolution,[status(thm)],[f348,f55])).
% 0.14/0.41 fof(f578,plain,(
% 0.14/0.41 ![X0]: (relation_restriction_as_relation_of(the_InternalRel(sk0_11),X0)=relation_restriction(the_InternalRel(sk0_11),X0))),
% 0.14/0.41 inference(resolution,[status(thm)],[f560,f115])).
% 0.14/0.41 fof(f603,plain,(
% 0.14/0.41 in(ordered_pair(sk0_13,sk0_14),cartesian_product2(the_carrier(sk0_12),the_carrier(sk0_12)))),
% 0.14/0.41 inference(resolution,[status(thm)],[f421,f175])).
% 0.14/0.41 fof(f655,plain,(
% 0.14/0.41 spl0_51 <=> relation(the_InternalRel(sk0_11))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f657,plain,(
% 0.14/0.41 ~relation(the_InternalRel(sk0_11))|spl0_51),
% 0.14/0.41 inference(component_clause,[status(thm)],[f655])).
% 0.14/0.41 fof(f663,plain,(
% 0.14/0.41 $false|spl0_51),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f657,f560])).
% 0.14/0.41 fof(f664,plain,(
% 0.14/0.41 spl0_51),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f663])).
% 0.14/0.41 fof(f672,plain,(
% 0.14/0.41 spl0_54 <=> in(ordered_pair(sk0_13,sk0_14),relation_restriction(the_InternalRel(sk0_11),X0))|~in(ordered_pair(sk0_13,sk0_14),cartesian_product2(X0,X0))),
% 0.14/0.41 introduced(split_symbol_definition)).
% 0.14/0.41 fof(f673,plain,(
% 0.14/0.41 ![X0]: (in(ordered_pair(sk0_13,sk0_14),relation_restriction(the_InternalRel(sk0_11),X0))|~in(ordered_pair(sk0_13,sk0_14),cartesian_product2(X0,X0))|~spl0_54)),
% 0.14/0.41 inference(component_clause,[status(thm)],[f672])).
% 0.14/0.41 fof(f675,plain,(
% 0.14/0.41 ![X0]: (~relation(the_InternalRel(sk0_11))|in(ordered_pair(sk0_13,sk0_14),relation_restriction(the_InternalRel(sk0_11),X0))|~in(ordered_pair(sk0_13,sk0_14),cartesian_product2(X0,X0))|~spl0_6)),
% 0.14/0.41 inference(resolution,[status(thm)],[f132,f213])).
% 0.14/0.41 fof(f676,plain,(
% 0.14/0.41 ~spl0_51|spl0_54|~spl0_6),
% 0.14/0.41 inference(split_clause,[status(thm)],[f675,f655,f672,f212])).
% 0.14/0.41 fof(f704,plain,(
% 0.14/0.41 ![X0]: (in(ordered_pair(sk0_13,sk0_14),relation_restriction_as_relation_of(the_InternalRel(sk0_11),X0))|~in(ordered_pair(sk0_13,sk0_14),cartesian_product2(X0,X0))|~spl0_54)),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f578,f673])).
% 0.14/0.42 fof(f1218,plain,(
% 0.14/0.42 in(ordered_pair(sk0_13,sk0_14),relation_restriction_as_relation_of(the_InternalRel(sk0_11),the_carrier(sk0_12)))|~spl0_54),
% 0.14/0.42 inference(resolution,[status(thm)],[f603,f704])).
% 0.14/0.42 fof(f1219,plain,(
% 0.14/0.42 in(ordered_pair(sk0_13,sk0_14),the_InternalRel(sk0_12))|~spl0_2|~spl0_54),
% 0.14/0.42 inference(forward_demodulation,[status(thm)],[f187,f1218])).
% 0.14/0.42 fof(f1392,plain,(
% 0.14/0.42 spl0_78 <=> element(sk0_13,the_carrier(sk0_12))),
% 0.14/0.42 introduced(split_symbol_definition)).
% 0.14/0.42 fof(f1394,plain,(
% 0.14/0.42 ~element(sk0_13,the_carrier(sk0_12))|spl0_78),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1392])).
% 0.14/0.42 fof(f1395,plain,(
% 0.14/0.42 spl0_79 <=> element(sk0_14,the_carrier(sk0_12))),
% 0.14/0.42 introduced(split_symbol_definition)).
% 0.14/0.42 fof(f1397,plain,(
% 0.14/0.42 ~element(sk0_14,the_carrier(sk0_12))|spl0_79),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1395])).
% 0.14/0.42 fof(f1398,plain,(
% 0.14/0.42 spl0_80 <=> related(sk0_12,sk0_13,sk0_14)),
% 0.14/0.42 introduced(split_symbol_definition)).
% 0.14/0.42 fof(f1399,plain,(
% 0.14/0.42 related(sk0_12,sk0_13,sk0_14)|~spl0_80),
% 0.14/0.42 inference(component_clause,[status(thm)],[f1398])).
% 0.14/0.42 fof(f1401,plain,(
% 0.14/0.42 ~rel_str(sk0_12)|~element(sk0_13,the_carrier(sk0_12))|~element(sk0_14,the_carrier(sk0_12))|related(sk0_12,sk0_13,sk0_14)|~spl0_2|~spl0_54),
% 0.14/0.42 inference(resolution,[status(thm)],[f1219,f65])).
% 0.14/0.42 fof(f1402,plain,(
% 0.14/0.42 ~spl0_8|~spl0_78|~spl0_79|spl0_80|~spl0_2|~spl0_54),
% 0.14/0.42 inference(split_clause,[status(thm)],[f1401,f228,f1392,f1395,f1398,f186,f672])).
% 0.14/0.42 fof(f1418,plain,(
% 0.14/0.42 $false|spl0_79),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1397,f171])).
% 0.14/0.42 fof(f1419,plain,(
% 0.14/0.42 spl0_79),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1418])).
% 0.14/0.42 fof(f1421,plain,(
% 0.14/0.42 $false|spl0_78),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1394,f170])).
% 0.14/0.42 fof(f1422,plain,(
% 0.14/0.42 spl0_78),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1421])).
% 0.14/0.42 fof(f1423,plain,(
% 0.14/0.42 $false|~spl0_80),
% 0.14/0.42 inference(forward_subsumption_resolution,[status(thm)],[f1399,f179])).
% 0.14/0.42 fof(f1424,plain,(
% 0.14/0.42 ~spl0_80),
% 0.14/0.42 inference(contradiction_clause,[status(thm)],[f1423])).
% 0.14/0.42 fof(f1425,plain,(
% 0.14/0.42 $false),
% 0.14/0.42 inference(sat_refutation,[status(thm)],[f190,f192,f194,f216,f218,f220,f232,f664,f676,f1402,f1419,f1422,f1424])).
% 0.14/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.071538 seconds
% 0.14/0.43 % CPU time: 0.423861 seconds
% 0.14/0.43 % Total memory used: 65.352 MB
% 0.14/0.43 % Net memory used: 65.058 MB
%------------------------------------------------------------------------------