TSTP Solution File: SEU210+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU210+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n031.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 12:36:16 EDT 2023
% Result : Theorem 0.21s 0.41s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SEU210+1 : TPTP v8.1.2. Released v3.3.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n031.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 : 300
% 0.13/0.34 % DateTime : Tue May 30 09:34:07 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.21/0.41 % Refutation found
% 0.21/0.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.21/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.21/0.41 fof(f4,axiom,(
% 0.21/0.41 (! [A,B] :( subset(A,B)<=> (! [C] :( in(C,A)=> in(C,B) ) )) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f5,axiom,(
% 0.21/0.41 (! [A] :( relation(A)=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(D,C),A) )) )) )) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f15,axiom,(
% 0.21/0.41 (! [A] :(? [B] : element(B,A) ))),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f17,axiom,(
% 0.21/0.41 empty(empty_set) ),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f25,axiom,(
% 0.21/0.41 (! [A] :( ~ empty(A)=> (? [B] :( element(B,powerset(A))& ~ empty(B) ) )) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f28,axiom,(
% 0.21/0.41 (! [A] :(? [B] :( element(B,powerset(A))& empty(B) ) ))),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f31,axiom,(
% 0.21/0.41 (! [A,B,C] :( relation(C)=> ( in(A,relation_inverse_image(C,B))<=> (? [D] :( in(D,relation_rng(C))& in(ordered_pair(A,D),C)& in(D,B) ) )) ) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f32,conjecture,(
% 0.21/0.41 (! [A,B] :( relation(B)=> ~ ( A != empty_set& subset(A,relation_rng(B))& relation_inverse_image(B,A) = empty_set ) ) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f33,negated_conjecture,(
% 0.21/0.41 ~((! [A,B] :( relation(B)=> ~ ( A != empty_set& subset(A,relation_rng(B))& relation_inverse_image(B,A) = empty_set ) ) ))),
% 0.21/0.41 inference(negated_conjecture,[status(cth)],[f32])).
% 0.21/0.41 fof(f35,axiom,(
% 0.21/0.41 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f36,axiom,(
% 0.21/0.41 (! [A,B] :( element(A,powerset(B))<=> subset(A,B) ) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f38,axiom,(
% 0.21/0.41 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f39,axiom,(
% 0.21/0.41 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.21/0.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/0.41 fof(f47,plain,(
% 0.21/0.41 ![A,B]: (subset(A,B)<=>(![C]: (~in(C,A)|in(C,B))))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f4])).
% 0.21/0.41 fof(f48,plain,(
% 0.21/0.41 ![A,B]: ((~subset(A,B)|(![C]: (~in(C,A)|in(C,B))))&(subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.21/0.41 inference(NNF_transformation,[status(esa)],[f47])).
% 0.21/0.41 fof(f49,plain,(
% 0.21/0.41 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(?[C]: (in(C,A)&~in(C,B)))))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f48])).
% 0.21/0.41 fof(f50,plain,(
% 0.21/0.41 (![A,B]: (~subset(A,B)|(![C]: (~in(C,A)|in(C,B)))))&(![A,B]: (subset(A,B)|(in(sk0_0(B,A),A)&~in(sk0_0(B,A),B))))),
% 0.21/0.41 inference(skolemization,[status(esa)],[f49])).
% 0.21/0.41 fof(f51,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~subset(X0,X1)|~in(X2,X0)|in(X2,X1))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f50])).
% 0.21/0.41 fof(f52,plain,(
% 0.21/0.41 ![X0,X1]: (subset(X0,X1)|in(sk0_0(X1,X0),X0))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f50])).
% 0.21/0.41 fof(f53,plain,(
% 0.21/0.41 ![X0,X1]: (subset(X0,X1)|~in(sk0_0(X1,X0),X1))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f50])).
% 0.21/0.41 fof(f54,plain,(
% 0.21/0.41 ![A]: (~relation(A)|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(D,C),A)))))))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 0.21/0.41 fof(f55,plain,(
% 0.21/0.41 ![A]: (~relation(A)|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(D,C),A)))&(in(C,B)|(![D]: ~in(ordered_pair(D,C),A))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 0.21/0.41 inference(NNF_transformation,[status(esa)],[f54])).
% 0.21/0.41 fof(f56,plain,(
% 0.21/0.41 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(D,C),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f55])).
% 0.21/0.41 fof(f57,plain,(
% 0.21/0.41 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|in(ordered_pair(sk0_1(C,B,A),C),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|((~in(sk0_2(B,A),B)|(![D]: ~in(ordered_pair(D,sk0_2(B,A)),A)))&(in(sk0_2(B,A),B)|in(ordered_pair(sk0_3(B,A),sk0_2(B,A)),A)))))))),
% 0.21/0.41 inference(skolemization,[status(esa)],[f56])).
% 0.21/0.41 fof(f58,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~relation(X0)|~X1=relation_rng(X0)|~in(X2,X1)|in(ordered_pair(sk0_1(X2,X1,X0),X2),X0))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f57])).
% 0.21/0.41 fof(f63,plain,(
% 0.21/0.41 ![A]: element(sk0_4(A),A)),
% 0.21/0.41 inference(skolemization,[status(esa)],[f15])).
% 0.21/0.41 fof(f64,plain,(
% 0.21/0.41 ![X0]: (element(sk0_4(X0),X0))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f63])).
% 0.21/0.41 fof(f66,plain,(
% 0.21/0.41 empty(empty_set)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f17])).
% 0.21/0.41 fof(f80,plain,(
% 0.21/0.41 ![A]: (empty(A)|(?[B]: (element(B,powerset(A))&~empty(B))))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.21/0.41 fof(f81,plain,(
% 0.21/0.41 ![A]: (empty(A)|(element(sk0_6(A),powerset(A))&~empty(sk0_6(A))))),
% 0.21/0.41 inference(skolemization,[status(esa)],[f80])).
% 0.21/0.41 fof(f82,plain,(
% 0.21/0.41 ![X0]: (empty(X0)|element(sk0_6(X0),powerset(X0)))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f81])).
% 0.21/0.41 fof(f83,plain,(
% 0.21/0.41 ![X0]: (empty(X0)|~empty(sk0_6(X0)))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f81])).
% 0.21/0.41 fof(f89,plain,(
% 0.21/0.41 ![A]: (element(sk0_9(A),powerset(A))&empty(sk0_9(A)))),
% 0.21/0.41 inference(skolemization,[status(esa)],[f28])).
% 0.21/0.41 fof(f90,plain,(
% 0.21/0.41 ![X0]: (element(sk0_9(X0),powerset(X0)))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f89])).
% 0.21/0.41 fof(f91,plain,(
% 0.21/0.41 ![X0]: (empty(sk0_9(X0)))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f89])).
% 0.21/0.41 fof(f96,plain,(
% 0.21/0.41 ![A,B,C]: (~relation(C)|(in(A,relation_inverse_image(C,B))<=>(?[D]: ((in(D,relation_rng(C))&in(ordered_pair(A,D),C))&in(D,B)))))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f31])).
% 0.21/0.41 fof(f97,plain,(
% 0.21/0.41 ![A,B,C]: (~relation(C)|((~in(A,relation_inverse_image(C,B))|(?[D]: ((in(D,relation_rng(C))&in(ordered_pair(A,D),C))&in(D,B))))&(in(A,relation_inverse_image(C,B))|(![D]: ((~in(D,relation_rng(C))|~in(ordered_pair(A,D),C))|~in(D,B))))))),
% 0.21/0.41 inference(NNF_transformation,[status(esa)],[f96])).
% 0.21/0.41 fof(f98,plain,(
% 0.21/0.41 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_inverse_image(C,B))|(?[D]: ((in(D,relation_rng(C))&in(ordered_pair(A,D),C))&in(D,B)))))&(![A,B]: (in(A,relation_inverse_image(C,B))|(![D]: ((~in(D,relation_rng(C))|~in(ordered_pair(A,D),C))|~in(D,B)))))))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f97])).
% 0.21/0.41 fof(f99,plain,(
% 0.21/0.41 ![C]: (~relation(C)|((![A,B]: (~in(A,relation_inverse_image(C,B))|((in(sk0_11(B,A,C),relation_rng(C))&in(ordered_pair(A,sk0_11(B,A,C)),C))&in(sk0_11(B,A,C),B))))&(![A,B]: (in(A,relation_inverse_image(C,B))|(![D]: ((~in(D,relation_rng(C))|~in(ordered_pair(A,D),C))|~in(D,B)))))))),
% 0.21/0.41 inference(skolemization,[status(esa)],[f98])).
% 0.21/0.41 fof(f103,plain,(
% 0.21/0.41 ![X0,X1,X2,X3]: (~relation(X0)|in(X1,relation_inverse_image(X0,X2))|~in(X3,relation_rng(X0))|~in(ordered_pair(X1,X3),X0)|~in(X3,X2))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f99])).
% 0.21/0.41 fof(f104,plain,(
% 0.21/0.41 (?[A,B]: (relation(B)&((~A=empty_set&subset(A,relation_rng(B)))&relation_inverse_image(B,A)=empty_set)))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f33])).
% 0.21/0.41 fof(f105,plain,(
% 0.21/0.41 ?[B]: (relation(B)&(?[A]: ((~A=empty_set&subset(A,relation_rng(B)))&relation_inverse_image(B,A)=empty_set)))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f104])).
% 0.21/0.41 fof(f106,plain,(
% 0.21/0.41 (relation(sk0_12)&((~sk0_13=empty_set&subset(sk0_13,relation_rng(sk0_12)))&relation_inverse_image(sk0_12,sk0_13)=empty_set))),
% 0.21/0.41 inference(skolemization,[status(esa)],[f105])).
% 0.21/0.41 fof(f107,plain,(
% 0.21/0.41 relation(sk0_12)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.21/0.41 fof(f108,plain,(
% 0.21/0.41 ~sk0_13=empty_set),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.21/0.41 fof(f109,plain,(
% 0.21/0.41 subset(sk0_13,relation_rng(sk0_12))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.21/0.41 fof(f110,plain,(
% 0.21/0.41 relation_inverse_image(sk0_12,sk0_13)=empty_set),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f106])).
% 0.21/0.41 fof(f113,plain,(
% 0.21/0.41 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.21/0.41 fof(f114,plain,(
% 0.21/0.41 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f113])).
% 0.21/0.41 fof(f115,plain,(
% 0.21/0.41 ![A,B]: ((~element(A,powerset(B))|subset(A,B))&(element(A,powerset(B))|~subset(A,B)))),
% 0.21/0.41 inference(NNF_transformation,[status(esa)],[f36])).
% 0.21/0.41 fof(f116,plain,(
% 0.21/0.41 (![A,B]: (~element(A,powerset(B))|subset(A,B)))&(![A,B]: (element(A,powerset(B))|~subset(A,B)))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f115])).
% 0.21/0.41 fof(f117,plain,(
% 0.21/0.41 ![X0,X1]: (~element(X0,powerset(X1))|subset(X0,X1))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f116])).
% 0.21/0.41 fof(f122,plain,(
% 0.21/0.41 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f38])).
% 0.21/0.41 fof(f123,plain,(
% 0.21/0.41 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.21/0.41 inference(miniscoping,[status(esa)],[f122])).
% 0.21/0.41 fof(f124,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f123])).
% 0.21/0.41 fof(f125,plain,(
% 0.21/0.41 ![A]: (~empty(A)|A=empty_set)),
% 0.21/0.41 inference(pre_NNF_transformation,[status(esa)],[f39])).
% 0.21/0.41 fof(f126,plain,(
% 0.21/0.41 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.21/0.41 inference(cnf_transformation,[status(esa)],[f125])).
% 0.21/0.41 fof(f133,plain,(
% 0.21/0.41 ![X0,X1]: (~relation(X0)|~in(X1,relation_rng(X0))|in(ordered_pair(sk0_1(X1,relation_rng(X0),X0),X1),X0))),
% 0.21/0.41 inference(destructive_equality_resolution,[status(esa)],[f58])).
% 0.21/0.41 fof(f136,plain,(
% 0.21/0.41 ![X0]: (~in(X0,sk0_13)|in(X0,relation_rng(sk0_12)))),
% 0.21/0.41 inference(resolution,[status(thm)],[f51,f109])).
% 0.21/0.41 fof(f153,plain,(
% 0.21/0.41 ![X0]: (sk0_9(X0)=empty_set)),
% 0.21/0.41 inference(resolution,[status(thm)],[f91,f126])).
% 0.21/0.41 fof(f172,plain,(
% 0.21/0.41 ![X0]: (subset(sk0_4(powerset(X0)),X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f64,f117])).
% 0.21/0.41 fof(f173,plain,(
% 0.21/0.41 ![X0,X1]: (~in(X0,sk0_4(powerset(X1)))|in(X0,X1))),
% 0.21/0.41 inference(resolution,[status(thm)],[f172,f51])).
% 0.21/0.41 fof(f176,plain,(
% 0.21/0.41 ![X0]: (element(empty_set,powerset(X0)))),
% 0.21/0.41 inference(forward_demodulation,[status(thm)],[f153,f90])).
% 0.21/0.41 fof(f180,plain,(
% 0.21/0.41 ![X0,X1]: (subset(sk0_4(powerset(X0)),X1)|in(sk0_0(X1,sk0_4(powerset(X0))),X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f52,f173])).
% 0.21/0.41 fof(f186,plain,(
% 0.21/0.41 ![X0,X1]: (subset(sk0_4(powerset(sk0_4(powerset(X0)))),X1)|in(sk0_0(X1,sk0_4(powerset(sk0_4(powerset(X0))))),X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f180,f173])).
% 0.21/0.41 fof(f200,plain,(
% 0.21/0.41 spl0_6 <=> ~empty(X1)),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f201,plain,(
% 0.21/0.41 ![X0]: (~empty(X0)|~spl0_6)),
% 0.21/0.41 inference(component_clause,[status(thm)],[f200])).
% 0.21/0.41 fof(f208,plain,(
% 0.21/0.41 ![X0,X1]: (subset(sk0_4(powerset(sk0_4(powerset(sk0_4(powerset(X0)))))),X1)|in(sk0_0(X1,sk0_4(powerset(sk0_4(powerset(sk0_4(powerset(X0))))))),X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f186,f173])).
% 0.21/0.41 fof(f269,plain,(
% 0.21/0.41 $false|~spl0_6),
% 0.21/0.41 inference(backward_subsumption_resolution,[status(thm)],[f66,f201])).
% 0.21/0.41 fof(f270,plain,(
% 0.21/0.41 ~spl0_6),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f269])).
% 0.21/0.41 fof(f407,plain,(
% 0.21/0.41 ![X0]: (subset(X0,relation_rng(sk0_12))|~in(sk0_0(relation_rng(sk0_12),X0),sk0_13))),
% 0.21/0.41 inference(resolution,[status(thm)],[f53,f136])).
% 0.21/0.41 fof(f409,plain,(
% 0.21/0.41 ![X0]: (empty(X0)|subset(sk0_6(X0),X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f82,f117])).
% 0.21/0.41 fof(f410,plain,(
% 0.21/0.41 ![X0,X1]: (empty(X0)|~in(X1,sk0_6(X0))|in(X1,X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f409,f51])).
% 0.21/0.41 fof(f415,plain,(
% 0.21/0.41 ![X0]: (empty(X0)|in(sk0_4(X0),X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f114,f64])).
% 0.21/0.41 fof(f567,plain,(
% 0.21/0.41 spl0_26 <=> ~in(X0,empty_set)),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f568,plain,(
% 0.21/0.41 ![X0]: (~in(X0,empty_set)|~spl0_26)),
% 0.21/0.41 inference(component_clause,[status(thm)],[f567])).
% 0.21/0.41 fof(f570,plain,(
% 0.21/0.41 ![X0,X1]: (~in(X0,empty_set)|~empty(X1))),
% 0.21/0.41 inference(resolution,[status(thm)],[f124,f176])).
% 0.21/0.41 fof(f571,plain,(
% 0.21/0.41 spl0_26|spl0_6),
% 0.21/0.41 inference(split_clause,[status(thm)],[f570,f567,f200])).
% 0.21/0.41 fof(f657,plain,(
% 0.21/0.41 ![X0]: (empty(X0)|in(sk0_4(sk0_6(X0)),X0)|empty(sk0_6(X0)))),
% 0.21/0.41 inference(resolution,[status(thm)],[f410,f415])).
% 0.21/0.41 fof(f658,plain,(
% 0.21/0.41 ![X0]: (empty(X0)|in(sk0_4(sk0_6(X0)),X0))),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f657,f83])).
% 0.21/0.41 fof(f669,plain,(
% 0.21/0.41 ![X0]: (empty(sk0_6(X0))|empty(X0)|in(sk0_4(sk0_6(sk0_6(X0))),X0))),
% 0.21/0.41 inference(resolution,[status(thm)],[f658,f410])).
% 0.21/0.41 fof(f670,plain,(
% 0.21/0.41 ![X0]: (empty(X0)|in(sk0_4(sk0_6(sk0_6(X0))),X0))),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f669,f83])).
% 0.21/0.41 fof(f742,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_rng(X0))|~relation(X0)|in(sk0_1(X1,relation_rng(X0),X0),relation_inverse_image(X0,X2))|~in(X1,relation_rng(X0))|~in(X1,X2))),
% 0.21/0.41 inference(resolution,[status(thm)],[f133,f103])).
% 0.21/0.41 fof(f743,plain,(
% 0.21/0.41 ![X0,X1,X2]: (~relation(X0)|~in(X1,relation_rng(X0))|in(sk0_1(X1,relation_rng(X0),X0),relation_inverse_image(X0,X2))|~in(X1,X2))),
% 0.21/0.41 inference(duplicate_literals_removal,[status(esa)],[f742])).
% 0.21/0.41 fof(f859,plain,(
% 0.21/0.41 spl0_42 <=> relation(sk0_12)),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f861,plain,(
% 0.21/0.41 ~relation(sk0_12)|spl0_42),
% 0.21/0.41 inference(component_clause,[status(thm)],[f859])).
% 0.21/0.41 fof(f862,plain,(
% 0.21/0.41 spl0_43 <=> ~in(X0,relation_rng(sk0_12))|in(sk0_1(X0,relation_rng(sk0_12),sk0_12),empty_set)|~in(X0,sk0_13)),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f863,plain,(
% 0.21/0.41 ![X0]: (~in(X0,relation_rng(sk0_12))|in(sk0_1(X0,relation_rng(sk0_12),sk0_12),empty_set)|~in(X0,sk0_13)|~spl0_43)),
% 0.21/0.41 inference(component_clause,[status(thm)],[f862])).
% 0.21/0.41 fof(f865,plain,(
% 0.21/0.41 ![X0]: (~relation(sk0_12)|~in(X0,relation_rng(sk0_12))|in(sk0_1(X0,relation_rng(sk0_12),sk0_12),empty_set)|~in(X0,sk0_13))),
% 0.21/0.41 inference(paramodulation,[status(thm)],[f110,f743])).
% 0.21/0.41 fof(f866,plain,(
% 0.21/0.41 ~spl0_42|spl0_43),
% 0.21/0.41 inference(split_clause,[status(thm)],[f865,f859,f862])).
% 0.21/0.41 fof(f867,plain,(
% 0.21/0.41 $false|spl0_42),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f861,f107])).
% 0.21/0.41 fof(f868,plain,(
% 0.21/0.41 spl0_42),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f867])).
% 0.21/0.41 fof(f869,plain,(
% 0.21/0.41 ![X0]: (in(sk0_1(X0,relation_rng(sk0_12),sk0_12),empty_set)|~in(X0,sk0_13)|~spl0_43)),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f863,f136])).
% 0.21/0.41 fof(f914,plain,(
% 0.21/0.41 spl0_46 <=> subset(sk0_4(powerset(sk0_4(powerset(sk0_4(powerset(sk0_13)))))),relation_rng(sk0_12))),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f917,plain,(
% 0.21/0.41 subset(sk0_4(powerset(sk0_4(powerset(sk0_4(powerset(sk0_13)))))),relation_rng(sk0_12))|subset(sk0_4(powerset(sk0_4(powerset(sk0_4(powerset(sk0_13)))))),relation_rng(sk0_12))),
% 0.21/0.41 inference(resolution,[status(thm)],[f407,f208])).
% 0.21/0.41 fof(f918,plain,(
% 0.21/0.41 spl0_46),
% 0.21/0.41 inference(split_clause,[status(thm)],[f917,f914])).
% 0.21/0.41 fof(f921,plain,(
% 0.21/0.41 spl0_47 <=> subset(sk0_4(powerset(sk0_4(powerset(sk0_13)))),relation_rng(sk0_12))),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f924,plain,(
% 0.21/0.41 subset(sk0_4(powerset(sk0_4(powerset(sk0_13)))),relation_rng(sk0_12))|subset(sk0_4(powerset(sk0_4(powerset(sk0_13)))),relation_rng(sk0_12))),
% 0.21/0.41 inference(resolution,[status(thm)],[f407,f186])).
% 0.21/0.41 fof(f925,plain,(
% 0.21/0.41 spl0_47),
% 0.21/0.41 inference(split_clause,[status(thm)],[f924,f921])).
% 0.21/0.41 fof(f926,plain,(
% 0.21/0.41 spl0_48 <=> subset(sk0_4(powerset(sk0_13)),relation_rng(sk0_12))),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f929,plain,(
% 0.21/0.41 subset(sk0_4(powerset(sk0_13)),relation_rng(sk0_12))|subset(sk0_4(powerset(sk0_13)),relation_rng(sk0_12))),
% 0.21/0.41 inference(resolution,[status(thm)],[f407,f180])).
% 0.21/0.41 fof(f930,plain,(
% 0.21/0.41 spl0_48),
% 0.21/0.41 inference(split_clause,[status(thm)],[f929,f926])).
% 0.21/0.41 fof(f931,plain,(
% 0.21/0.41 spl0_49 <=> subset(sk0_13,relation_rng(sk0_12))),
% 0.21/0.41 introduced(split_symbol_definition)).
% 0.21/0.41 fof(f934,plain,(
% 0.21/0.41 subset(sk0_13,relation_rng(sk0_12))|subset(sk0_13,relation_rng(sk0_12))),
% 0.21/0.41 inference(resolution,[status(thm)],[f407,f52])).
% 0.21/0.41 fof(f935,plain,(
% 0.21/0.41 spl0_49),
% 0.21/0.41 inference(split_clause,[status(thm)],[f934,f931])).
% 0.21/0.41 fof(f942,plain,(
% 0.21/0.41 ![X0]: (~in(X0,sk0_13)|~spl0_26|~spl0_43)),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f869,f568])).
% 0.21/0.41 fof(f962,plain,(
% 0.21/0.41 empty(sk0_13)|~spl0_26|~spl0_43),
% 0.21/0.41 inference(resolution,[status(thm)],[f942,f670])).
% 0.21/0.41 fof(f976,plain,(
% 0.21/0.41 sk0_13=empty_set|~spl0_26|~spl0_43),
% 0.21/0.41 inference(resolution,[status(thm)],[f962,f126])).
% 0.21/0.41 fof(f977,plain,(
% 0.21/0.41 $false|~spl0_26|~spl0_43),
% 0.21/0.41 inference(forward_subsumption_resolution,[status(thm)],[f976,f108])).
% 0.21/0.41 fof(f978,plain,(
% 0.21/0.41 ~spl0_26|~spl0_43),
% 0.21/0.41 inference(contradiction_clause,[status(thm)],[f977])).
% 0.21/0.41 fof(f979,plain,(
% 0.21/0.41 $false),
% 0.21/0.41 inference(sat_refutation,[status(thm)],[f270,f571,f866,f868,f918,f925,f930,f935,f978])).
% 0.21/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.43 % Elapsed time: 0.077320 seconds
% 0.21/0.43 % CPU time: 0.447763 seconds
% 0.21/0.43 % Memory used: 36.897 MB
%------------------------------------------------------------------------------