TSTP Solution File: SEU203+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 : Wed May 31 12:36:14 EDT 2023
% Result : Theorem 0.11s 0.29s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SEU203+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 09:09:16 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.07/0.28 % Drodi V3.5.1
% 0.11/0.29 % Refutation found
% 0.11/0.29 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.29 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.29 fof(f4,axiom,(
% 0.11/0.29 (! [A] :( relation(A)=> (! [B,C] :( C = relation_image(A,B)<=> (! [D] :( in(D,C)<=> (? [E] :( in(ordered_pair(E,D),A)& in(E,B) ) )) )) )) )),
% 0.11/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.29 fof(f5,axiom,(
% 0.11/0.29 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 0.11/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.29 fof(f15,axiom,(
% 0.11/0.29 empty(empty_set) ),
% 0.11/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.29 fof(f21,axiom,(
% 0.11/0.29 (! [A] :( empty(A)=> ( empty(relation_dom(A))& relation(relation_dom(A)) ) ) )),
% 0.11/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.29 fof(f26,conjecture,(
% 0.11/0.29 (! [A,B,C] :( relation(C)=> ( in(A,relation_image(C,B))<=> (? [D] :( in(D,relation_dom(C))& in(ordered_pair(D,A),C)& in(D,B) ) )) ) )),
% 0.11/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.29 fof(f27,negated_conjecture,(
% 0.11/0.29 ~((! [A,B,C] :( relation(C)=> ( in(A,relation_image(C,B))<=> (? [D] :( in(D,relation_dom(C))& in(ordered_pair(D,A),C)& in(D,B) ) )) ) ))),
% 0.11/0.29 inference(negated_conjecture,[status(cth)],[f26])).
% 0.11/0.29 fof(f30,axiom,(
% 0.11/0.29 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.11/0.29 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.11/0.29 fof(f38,plain,(
% 0.11/0.29 ![A]: (~relation(A)|(![B,C]: (C=relation_image(A,B)<=>(![D]: (in(D,C)<=>(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))),
% 0.11/0.29 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.11/0.29 fof(f39,plain,(
% 0.11/0.29 ![A]: (~relation(A)|(![B,C]: ((~C=relation_image(A,B)|(![D]: ((~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))&(in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B)))))))&(C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 0.11/0.29 inference(NNF_transformation,[status(esa)],[f38])).
% 0.11/0.29 fof(f40,plain,(
% 0.11/0.29 ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B)))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|(?[D]: ((~in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))&(in(D,C)|(?[E]: (in(ordered_pair(E,D),A)&in(E,B))))))))))),
% 0.11/0.29 inference(miniscoping,[status(esa)],[f39])).
% 0.11/0.29 fof(f41,plain,(
% 0.11/0.29 ![A]: (~relation(A)|((![B,C]: (~C=relation_image(A,B)|((![D]: (~in(D,C)|(in(ordered_pair(sk0_0(D,C,B,A),D),A)&in(sk0_0(D,C,B,A),B))))&(![D]: (in(D,C)|(![E]: (~in(ordered_pair(E,D),A)|~in(E,B))))))))&(![B,C]: (C=relation_image(A,B)|((~in(sk0_1(C,B,A),C)|(![E]: (~in(ordered_pair(E,sk0_1(C,B,A)),A)|~in(E,B))))&(in(sk0_1(C,B,A),C)|(in(ordered_pair(sk0_2(C,B,A),sk0_1(C,B,A)),A)&in(sk0_2(C,B,A),B))))))))),
% 0.11/0.29 inference(skolemization,[status(esa)],[f40])).
% 0.11/0.29 fof(f42,plain,(
% 0.11/0.29 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(ordered_pair(sk0_0(X3,X1,X2,X0),X3),X0))),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f41])).
% 0.11/0.29 fof(f43,plain,(
% 0.11/0.29 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_image(X0,X2)|~in(X3,X1)|in(sk0_0(X3,X1,X2,X0),X2))),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f41])).
% 0.11/0.29 fof(f44,plain,(
% 0.11/0.29 ![X0,X1,X2,X3,X4]: (~relation(X0)|~X1=relation_image(X0,X2)|in(X3,X1)|~in(ordered_pair(X4,X3),X0)|~in(X4,X2))),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f41])).
% 0.11/0.29 fof(f48,plain,(
% 0.11/0.29 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 0.11/0.29 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.11/0.29 fof(f49,plain,(
% 0.11/0.29 ![A]: (~relation(A)|(![B]: ((~B=relation_dom(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(C,D),A)))&(in(C,B)|(![D]: ~in(ordered_pair(C,D),A))))))&(B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.11/0.29 inference(NNF_transformation,[status(esa)],[f48])).
% 0.11/0.29 fof(f50,plain,(
% 0.11/0.29 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(C,D),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.11/0.29 inference(miniscoping,[status(esa)],[f49])).
% 0.11/0.29 fof(f51,plain,(
% 0.11/0.29 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sk0_3(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sk0_4(B,A),B)|(![D]: ~in(ordered_pair(sk0_4(B,A),D),A)))&(in(sk0_4(B,A),B)|in(ordered_pair(sk0_4(B,A),sk0_5(B,A)),A)))))))),
% 0.11/0.29 inference(skolemization,[status(esa)],[f50])).
% 0.11/0.29 fof(f53,plain,(
% 0.11/0.29 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_dom(X0)|in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f51])).
% 0.11/0.29 fof(f59,plain,(
% 0.11/0.29 empty(empty_set)),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f15])).
% 0.11/0.29 fof(f67,plain,(
% 0.11/0.29 ![A]: (~empty(A)|(empty(relation_dom(A))&relation(relation_dom(A))))),
% 0.11/0.29 inference(pre_NNF_transformation,[status(esa)],[f21])).
% 0.11/0.29 fof(f68,plain,(
% 0.11/0.29 ![X0]: (~empty(X0)|empty(relation_dom(X0)))),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f67])).
% 0.11/0.29 fof(f69,plain,(
% 0.11/0.29 ![X0]: (~empty(X0)|relation(relation_dom(X0)))),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f67])).
% 0.11/0.29 fof(f80,plain,(
% 0.11/0.29 (?[A,B,C]: (relation(C)&(in(A,relation_image(C,B))<~>(?[D]: ((in(D,relation_dom(C))&in(ordered_pair(D,A),C))&in(D,B))))))),
% 0.11/0.29 inference(pre_NNF_transformation,[status(esa)],[f27])).
% 0.11/0.29 fof(f81,plain,(
% 0.11/0.29 ?[A,B,C]: (relation(C)&((in(A,relation_image(C,B))|(?[D]: ((in(D,relation_dom(C))&in(ordered_pair(D,A),C))&in(D,B))))&(~in(A,relation_image(C,B))|(![D]: ((~in(D,relation_dom(C))|~in(ordered_pair(D,A),C))|~in(D,B))))))),
% 0.11/0.29 inference(NNF_transformation,[status(esa)],[f80])).
% 0.11/0.29 fof(f82,plain,(
% 0.11/0.29 ?[C]: (relation(C)&(?[A,B]: ((in(A,relation_image(C,B))|(?[D]: ((in(D,relation_dom(C))&in(ordered_pair(D,A),C))&in(D,B))))&(~in(A,relation_image(C,B))|(![D]: ((~in(D,relation_dom(C))|~in(ordered_pair(D,A),C))|~in(D,B)))))))),
% 0.11/0.29 inference(miniscoping,[status(esa)],[f81])).
% 0.11/0.29 fof(f83,plain,(
% 0.11/0.29 (relation(sk0_11)&((in(sk0_12,relation_image(sk0_11,sk0_13))|((in(sk0_14,relation_dom(sk0_11))&in(ordered_pair(sk0_14,sk0_12),sk0_11))&in(sk0_14,sk0_13)))&(~in(sk0_12,relation_image(sk0_11,sk0_13))|(![D]: ((~in(D,relation_dom(sk0_11))|~in(ordered_pair(D,sk0_12),sk0_11))|~in(D,sk0_13))))))),
% 0.11/0.29 inference(skolemization,[status(esa)],[f82])).
% 0.11/0.29 fof(f84,plain,(
% 0.11/0.29 relation(sk0_11)),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f83])).
% 0.11/0.29 fof(f86,plain,(
% 0.11/0.29 in(sk0_12,relation_image(sk0_11,sk0_13))|in(ordered_pair(sk0_14,sk0_12),sk0_11)),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f83])).
% 0.11/0.29 fof(f87,plain,(
% 0.11/0.29 in(sk0_12,relation_image(sk0_11,sk0_13))|in(sk0_14,sk0_13)),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f83])).
% 0.11/0.29 fof(f88,plain,(
% 0.11/0.29 ![X0]: (~in(sk0_12,relation_image(sk0_11,sk0_13))|~in(X0,relation_dom(sk0_11))|~in(ordered_pair(X0,sk0_12),sk0_11)|~in(X0,sk0_13))),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f83])).
% 0.11/0.29 fof(f93,plain,(
% 0.11/0.29 ![A]: (~empty(A)|A=empty_set)),
% 0.11/0.29 inference(pre_NNF_transformation,[status(esa)],[f30])).
% 0.11/0.29 fof(f94,plain,(
% 0.11/0.29 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.11/0.29 inference(cnf_transformation,[status(esa)],[f93])).
% 0.11/0.29 fof(f101,plain,(
% 0.11/0.29 spl0_0 <=> in(sk0_12,relation_image(sk0_11,sk0_13))),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f102,plain,(
% 0.11/0.29 in(sk0_12,relation_image(sk0_11,sk0_13))|~spl0_0),
% 0.11/0.29 inference(component_clause,[status(thm)],[f101])).
% 0.11/0.29 fof(f108,plain,(
% 0.11/0.29 spl0_2 <=> in(ordered_pair(sk0_14,sk0_12),sk0_11)),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f109,plain,(
% 0.11/0.29 in(ordered_pair(sk0_14,sk0_12),sk0_11)|~spl0_2),
% 0.11/0.29 inference(component_clause,[status(thm)],[f108])).
% 0.11/0.29 fof(f111,plain,(
% 0.11/0.29 spl0_0|spl0_2),
% 0.11/0.29 inference(split_clause,[status(thm)],[f86,f101,f108])).
% 0.11/0.29 fof(f112,plain,(
% 0.11/0.29 spl0_3 <=> in(sk0_14,sk0_13)),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f113,plain,(
% 0.11/0.29 in(sk0_14,sk0_13)|~spl0_3),
% 0.11/0.29 inference(component_clause,[status(thm)],[f112])).
% 0.11/0.29 fof(f115,plain,(
% 0.11/0.29 spl0_0|spl0_3),
% 0.11/0.29 inference(split_clause,[status(thm)],[f87,f101,f112])).
% 0.11/0.29 fof(f116,plain,(
% 0.11/0.29 spl0_4 <=> ~in(X0,relation_dom(sk0_11))|~in(ordered_pair(X0,sk0_12),sk0_11)|~in(X0,sk0_13)),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f117,plain,(
% 0.11/0.29 ![X0]: (~in(X0,relation_dom(sk0_11))|~in(ordered_pair(X0,sk0_12),sk0_11)|~in(X0,sk0_13)|~spl0_4)),
% 0.11/0.29 inference(component_clause,[status(thm)],[f116])).
% 0.11/0.29 fof(f119,plain,(
% 0.11/0.29 ~spl0_0|spl0_4),
% 0.11/0.29 inference(split_clause,[status(thm)],[f88,f101,f116])).
% 0.11/0.29 fof(f120,plain,(
% 0.11/0.29 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(ordered_pair(sk0_0(X1,relation_image(X0,X2),X2,X0),X1),X0))),
% 0.11/0.29 inference(destructive_equality_resolution,[status(esa)],[f42])).
% 0.11/0.29 fof(f121,plain,(
% 0.11/0.29 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_image(X0,X2))|in(sk0_0(X1,relation_image(X0,X2),X2,X0),X2))),
% 0.11/0.29 inference(destructive_equality_resolution,[status(esa)],[f43])).
% 0.11/0.29 fof(f122,plain,(
% 0.11/0.29 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_image(X0,X2))|~in(ordered_pair(X3,X1),X0)|~in(X3,X2))),
% 0.11/0.29 inference(destructive_equality_resolution,[status(esa)],[f44])).
% 0.11/0.29 fof(f124,plain,(
% 0.11/0.29 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(X0))|~in(ordered_pair(X1,X2),X0))),
% 0.11/0.29 inference(destructive_equality_resolution,[status(esa)],[f53])).
% 0.11/0.29 fof(f129,plain,(
% 0.11/0.29 ![X0]: (relation_dom(X0)=empty_set|~empty(X0))),
% 0.11/0.29 inference(resolution,[status(thm)],[f94,f68])).
% 0.11/0.29 fof(f135,plain,(
% 0.11/0.29 relation_dom(empty_set)=empty_set),
% 0.11/0.29 inference(resolution,[status(thm)],[f129,f59])).
% 0.11/0.29 fof(f137,plain,(
% 0.11/0.29 spl0_5 <=> empty(empty_set)),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f139,plain,(
% 0.11/0.29 ~empty(empty_set)|spl0_5),
% 0.11/0.29 inference(component_clause,[status(thm)],[f137])).
% 0.11/0.29 fof(f140,plain,(
% 0.11/0.29 spl0_6 <=> relation(empty_set)),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f145,plain,(
% 0.11/0.29 ~empty(empty_set)|relation(empty_set)),
% 0.11/0.29 inference(paramodulation,[status(thm)],[f135,f69])).
% 0.11/0.29 fof(f146,plain,(
% 0.11/0.29 ~spl0_5|spl0_6),
% 0.11/0.29 inference(split_clause,[status(thm)],[f145,f137,f140])).
% 0.11/0.29 fof(f149,plain,(
% 0.11/0.29 $false|spl0_5),
% 0.11/0.29 inference(forward_subsumption_resolution,[status(thm)],[f139,f59])).
% 0.11/0.29 fof(f150,plain,(
% 0.11/0.29 spl0_5),
% 0.11/0.29 inference(contradiction_clause,[status(thm)],[f149])).
% 0.11/0.29 fof(f163,plain,(
% 0.11/0.29 spl0_7 <=> relation(sk0_11)),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f165,plain,(
% 0.11/0.29 ~relation(sk0_11)|spl0_7),
% 0.11/0.29 inference(component_clause,[status(thm)],[f163])).
% 0.11/0.29 fof(f166,plain,(
% 0.11/0.29 spl0_8 <=> in(sk0_0(sk0_12,relation_image(sk0_11,sk0_13),sk0_13,sk0_11),sk0_13)),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f169,plain,(
% 0.11/0.29 ~relation(sk0_11)|in(sk0_0(sk0_12,relation_image(sk0_11,sk0_13),sk0_13,sk0_11),sk0_13)|~spl0_0),
% 0.11/0.29 inference(resolution,[status(thm)],[f102,f121])).
% 0.11/0.29 fof(f170,plain,(
% 0.11/0.29 ~spl0_7|spl0_8|~spl0_0),
% 0.11/0.29 inference(split_clause,[status(thm)],[f169,f163,f166,f101])).
% 0.11/0.29 fof(f171,plain,(
% 0.11/0.29 spl0_9 <=> in(ordered_pair(sk0_0(sk0_12,relation_image(sk0_11,sk0_13),sk0_13,sk0_11),sk0_12),sk0_11)),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f172,plain,(
% 0.11/0.29 in(ordered_pair(sk0_0(sk0_12,relation_image(sk0_11,sk0_13),sk0_13,sk0_11),sk0_12),sk0_11)|~spl0_9),
% 0.11/0.29 inference(component_clause,[status(thm)],[f171])).
% 0.11/0.29 fof(f174,plain,(
% 0.11/0.29 ~relation(sk0_11)|in(ordered_pair(sk0_0(sk0_12,relation_image(sk0_11,sk0_13),sk0_13,sk0_11),sk0_12),sk0_11)|~spl0_0),
% 0.11/0.29 inference(resolution,[status(thm)],[f102,f120])).
% 0.11/0.29 fof(f175,plain,(
% 0.11/0.29 ~spl0_7|spl0_9|~spl0_0),
% 0.11/0.29 inference(split_clause,[status(thm)],[f174,f163,f171,f101])).
% 0.11/0.29 fof(f178,plain,(
% 0.11/0.29 $false|spl0_7),
% 0.11/0.29 inference(forward_subsumption_resolution,[status(thm)],[f165,f84])).
% 0.11/0.29 fof(f179,plain,(
% 0.11/0.29 spl0_7),
% 0.11/0.29 inference(contradiction_clause,[status(thm)],[f178])).
% 0.11/0.29 fof(f189,plain,(
% 0.11/0.29 spl0_10 <=> in(sk0_12,relation_image(sk0_11,X0))|~in(sk0_14,X0)),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f190,plain,(
% 0.11/0.29 ![X0]: (in(sk0_12,relation_image(sk0_11,X0))|~in(sk0_14,X0)|~spl0_10)),
% 0.11/0.29 inference(component_clause,[status(thm)],[f189])).
% 0.11/0.29 fof(f192,plain,(
% 0.11/0.29 ![X0]: (~relation(sk0_11)|in(sk0_12,relation_image(sk0_11,X0))|~in(sk0_14,X0)|~spl0_2)),
% 0.11/0.29 inference(resolution,[status(thm)],[f109,f122])).
% 0.11/0.29 fof(f193,plain,(
% 0.11/0.29 ~spl0_7|spl0_10|~spl0_2),
% 0.11/0.29 inference(split_clause,[status(thm)],[f192,f163,f189,f108])).
% 0.11/0.29 fof(f203,plain,(
% 0.11/0.29 spl0_11 <=> in(sk0_0(sk0_12,relation_image(sk0_11,sk0_13),sk0_13,sk0_11),relation_dom(sk0_11))),
% 0.11/0.29 introduced(split_symbol_definition)).
% 0.11/0.29 fof(f206,plain,(
% 0.11/0.29 ~in(sk0_0(sk0_12,relation_image(sk0_11,sk0_13),sk0_13,sk0_11),relation_dom(sk0_11))|~in(sk0_0(sk0_12,relation_image(sk0_11,sk0_13),sk0_13,sk0_11),sk0_13)|~spl0_9|~spl0_4),
% 0.11/0.29 inference(resolution,[status(thm)],[f172,f117])).
% 0.11/0.29 fof(f207,plain,(
% 0.11/0.29 ~spl0_11|~spl0_8|~spl0_9|~spl0_4),
% 0.11/0.29 inference(split_clause,[status(thm)],[f206,f203,f166,f171,f116])).
% 0.11/0.29 fof(f208,plain,(
% 0.11/0.29 ~relation(sk0_11)|in(sk0_0(sk0_12,relation_image(sk0_11,sk0_13),sk0_13,sk0_11),relation_dom(sk0_11))|~spl0_9),
% 0.11/0.29 inference(resolution,[status(thm)],[f172,f124])).
% 0.11/0.29 fof(f209,plain,(
% 0.11/0.29 ~spl0_7|spl0_11|~spl0_9),
% 0.11/0.29 inference(split_clause,[status(thm)],[f208,f163,f203,f171])).
% 0.11/0.29 fof(f228,plain,(
% 0.11/0.29 in(sk0_12,relation_image(sk0_11,sk0_13))|~spl0_10|~spl0_3),
% 0.11/0.29 inference(resolution,[status(thm)],[f190,f113])).
% 0.11/0.29 fof(f229,plain,(
% 0.11/0.29 spl0_0|~spl0_10|~spl0_3),
% 0.11/0.29 inference(split_clause,[status(thm)],[f228,f101,f189,f112])).
% 0.11/0.29 fof(f230,plain,(
% 0.11/0.29 $false),
% 0.11/0.29 inference(sat_refutation,[status(thm)],[f111,f115,f119,f146,f150,f170,f175,f179,f193,f207,f209,f229])).
% 0.11/0.29 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.50 % Elapsed time: 0.014696 seconds
% 0.11/0.50 % CPU time: 0.039088 seconds
% 0.11/0.50 % Memory used: 14.729 MB
%------------------------------------------------------------------------------