%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU265+1 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:22:10 PM UTC 2026
% Result : Theorem 0.14s 0.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU265+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n016.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 06:09:52 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.54 % Refutation found
% 0.14/0.54 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.54 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.54 fof(f2,axiom,(
% 0.14/0.54 (! [A,B,C] :( element(C,powerset(cartesian_product2(A,B)))=> relation(C) ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f4,axiom,(
% 0.14/0.54 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f13,axiom,(
% 0.14/0.54 (! [A,B,C] :( relation_of2(C,A,B)=> element(relation_dom_as_subset(A,B,C),powerset(A)) ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f17,axiom,(
% 0.14/0.54 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> element(C,powerset(cartesian_product2(A,B))) ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f25,axiom,(
% 0.14/0.54 (! [A,B,C] :( relation_of2(C,A,B)=> relation_dom_as_subset(A,B,C) = relation_dom(C) ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f26,axiom,(
% 0.14/0.54 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f30,conjecture,(
% 0.14/0.54 (! [A,B,C] :( relation_of2_as_subset(C,B,A)=> ( (! [D] :~ ( in(D,B)& (! [E] : ~ in(ordered_pair(D,E),C) )))<=> relation_dom_as_subset(B,A,C) = B ) ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f31,negated_conjecture,(
% 0.14/0.54 ~((! [A,B,C] :( relation_of2_as_subset(C,B,A)=> ( (! [D] :~ ( in(D,B)& (! [E] : ~ in(ordered_pair(D,E),C) )))<=> relation_dom_as_subset(B,A,C) = B ) ) ))),
% 0.14/0.54 inference(negated_conjecture,[status(cth)],[f30])).
% 0.14/0.54 fof(f32,axiom,(
% 0.14/0.54 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f33,axiom,(
% 0.14/0.54 (! [A,B] :( (! [C] :( in(C,A)<=> in(C,B) ))=> A = B ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f35,axiom,(
% 0.14/0.54 (! [A,B,C] :( ( in(A,B)& element(B,powerset(C)) )=> element(A,C) ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f36,axiom,(
% 0.14/0.54 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.14/0.54 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.54 fof(f42,plain,(
% 0.14/0.54 ![A,B,C]: (~element(C,powerset(cartesian_product2(A,B)))|relation(C))),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.14/0.54 fof(f43,plain,(
% 0.14/0.54 ![C]: ((![A,B]: ~element(C,powerset(cartesian_product2(A,B))))|relation(C))),
% 0.14/0.54 inference(miniscoping,[status(thm)],[f42])).
% 0.14/0.54 fof(f44,plain,(
% 0.14/0.54 ![X0,X1,X2]: (~element(X0,powerset(cartesian_product2(X1,X2)))|relation(X0))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f43])).
% 0.14/0.54 fof(f46,plain,(
% 0.14/0.54 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/0.54 fof(f47,plain,(
% 0.14/0.54 ![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)))))))))),
% 0.14/0.54 inference(NNF_transformation,[status(thm)],[f46])).
% 0.14/0.54 fof(f48,plain,(
% 0.14/0.54 ![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)))))))))),
% 0.14/0.54 inference(miniscoping,[status(thm)],[f47])).
% 0.14/0.54 fof(f49,plain,(
% 0.14/0.54 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sK0_skl(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sK1_skl(B,A),B)|(![D]: ~in(ordered_pair(sK1_skl(B,A),D),A)))&(in(sK1_skl(B,A),B)|in(ordered_pair(sK1_skl(B,A),sK2_skl(B,A)),A)))))))),
% 0.14/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(D,sK0_skl(C,B,A)),skolemize(C,sK1_skl(B,A)),skolemize(D,sK2_skl(B,A))],[f48])).
% 0.14/0.54 fof(f50,plain,(
% 0.14/0.54 ![X0,X1,X2]: (~relation(X0)|~X1=relation_dom(X0)|~in(X2,X1)|in(ordered_pair(X2,sK0_skl(X2,X1,X0)),X0))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.54 fof(f51,plain,(
% 0.14/0.54 ![X0,X1,X2,X3]: (~relation(X0)|~X1=relation_dom(X0)|in(X2,X1)|~in(ordered_pair(X2,X3),X0))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f49])).
% 0.14/0.54 fof(f55,plain,(
% 0.14/0.54 ![A,B,C]: (~relation_of2(C,A,B)|element(relation_dom_as_subset(A,B,C),powerset(A)))),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.14/0.54 fof(f56,plain,(
% 0.14/0.54 ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|element(relation_dom_as_subset(X1,X2,X0),powerset(X1)))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f55])).
% 0.14/0.54 fof(f57,plain,(
% 0.14/0.54 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|element(C,powerset(cartesian_product2(A,B))))),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f17])).
% 0.14/0.54 fof(f58,plain,(
% 0.14/0.54 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|element(X0,powerset(cartesian_product2(X1,X2))))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f57])).
% 0.14/0.54 fof(f71,plain,(
% 0.14/0.54 ![A,B,C]: (~relation_of2(C,A,B)|relation_dom_as_subset(A,B,C)=relation_dom(C))),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f25])).
% 0.14/0.54 fof(f72,plain,(
% 0.14/0.54 ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|relation_dom_as_subset(X1,X2,X0)=relation_dom(X0))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f71])).
% 0.14/0.54 fof(f73,plain,(
% 0.14/0.54 ![A,B,C]: ((~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B))&(relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.14/0.54 inference(NNF_transformation,[status(thm)],[f26])).
% 0.14/0.54 fof(f74,plain,(
% 0.14/0.54 (![A,B,C]: (~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B)))&(![A,B,C]: (relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.14/0.54 inference(miniscoping,[status(thm)],[f73])).
% 0.14/0.54 fof(f75,plain,(
% 0.14/0.54 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f74])).
% 0.14/0.54 fof(f85,plain,(
% 0.14/0.54 (?[A,B,C]: (relation_of2_as_subset(C,B,A)&((![D]: (~in(D,B)|(?[E]: in(ordered_pair(D,E),C))))<~>relation_dom_as_subset(B,A,C)=B)))),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.14/0.54 fof(f86,plain,(
% 0.14/0.54 ?[A,B,C]: (relation_of2_as_subset(C,B,A)&(((![D]: (~in(D,B)|(?[E]: in(ordered_pair(D,E),C))))|relation_dom_as_subset(B,A,C)=B)&((?[D]: (in(D,B)&(![E]: ~in(ordered_pair(D,E),C))))|~relation_dom_as_subset(B,A,C)=B)))),
% 0.14/0.54 inference(NNF_transformation,[status(thm)],[f85])).
% 0.14/0.54 fof(f87,plain,(
% 0.14/0.54 (relation_of2_as_subset(sK10_skl,sK9_skl,sK8_skl)&(((![D]: (~in(D,sK9_skl)|in(ordered_pair(D,sK11_skl(D)),sK10_skl)))|relation_dom_as_subset(sK9_skl,sK8_skl,sK10_skl)=sK9_skl)&((in(sK12_skl,sK9_skl)&(![E]: ~in(ordered_pair(sK12_skl,E),sK10_skl)))|~relation_dom_as_subset(sK9_skl,sK8_skl,sK10_skl)=sK9_skl)))),
% 0.14/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl,sK9_skl,sK10_skl,sK11_skl,sK12_skl]),skolemize(A,sK8_skl),skolemize(B,sK9_skl),skolemize(C,sK10_skl),skolemize(E,sK11_skl(D)),skolemize(D,sK12_skl)],[f86])).
% 0.14/0.54 fof(f88,plain,(
% 0.14/0.54 relation_of2_as_subset(sK10_skl,sK9_skl,sK8_skl)),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f87])).
% 0.14/0.54 fof(f89,plain,(
% 0.14/0.54 ![X0]: (~in(X0,sK9_skl)|in(ordered_pair(X0,sK11_skl(X0)),sK10_skl)|relation_dom_as_subset(sK9_skl,sK8_skl,sK10_skl)=sK9_skl)),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f87])).
% 0.14/0.54 fof(f90,plain,(
% 0.14/0.54 in(sK12_skl,sK9_skl)|~relation_dom_as_subset(sK9_skl,sK8_skl,sK10_skl)=sK9_skl),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f87])).
% 0.14/0.54 fof(f91,plain,(
% 0.14/0.54 ![X0]: (~in(ordered_pair(sK12_skl,X0),sK10_skl)|~relation_dom_as_subset(sK9_skl,sK8_skl,sK10_skl)=sK9_skl)),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f87])).
% 0.14/0.54 fof(f92,plain,(
% 0.14/0.54 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.14/0.54 fof(f93,plain,(
% 0.14/0.54 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f92])).
% 0.14/0.54 fof(f94,plain,(
% 0.14/0.54 ![A,B]: ((?[C]: (in(C,A)<~>in(C,B)))|A=B)),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.14/0.54 fof(f95,plain,(
% 0.14/0.54 ![A,B]: ((?[C]: ((in(C,A)|in(C,B))&(~in(C,A)|~in(C,B))))|A=B)),
% 0.14/0.54 inference(NNF_transformation,[status(thm)],[f94])).
% 0.14/0.54 fof(f96,plain,(
% 0.14/0.54 ![A,B]: (((in(sK13_skl(B,A),A)|in(sK13_skl(B,A),B))&(~in(sK13_skl(B,A),A)|~in(sK13_skl(B,A),B)))|A=B)),
% 0.14/0.54 inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(C,sK13_skl(B,A))],[f95])).
% 0.14/0.54 fof(f97,plain,(
% 0.14/0.54 ![X0,X1]: (in(sK13_skl(X0,X1),X1)|in(sK13_skl(X0,X1),X0)|X1=X0)),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f96])).
% 0.14/0.54 fof(f98,plain,(
% 0.14/0.54 ![X0,X1]: (~in(sK13_skl(X0,X1),X1)|~in(sK13_skl(X0,X1),X0)|X1=X0)),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f96])).
% 0.14/0.54 fof(f103,plain,(
% 0.14/0.54 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|element(A,C))),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f35])).
% 0.14/0.54 fof(f104,plain,(
% 0.14/0.54 ![A,C]: ((![B]: (~in(A,B)|~element(B,powerset(C))))|element(A,C))),
% 0.14/0.54 inference(miniscoping,[status(thm)],[f103])).
% 0.14/0.54 fof(f105,plain,(
% 0.14/0.54 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|element(X0,X2))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f104])).
% 0.14/0.54 fof(f106,plain,(
% 0.14/0.54 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.14/0.54 inference(pre_NNF_transformation,[status(thm)],[f36])).
% 0.14/0.54 fof(f107,plain,(
% 0.14/0.54 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.14/0.54 inference(miniscoping,[status(thm)],[f106])).
% 0.14/0.54 fof(f108,plain,(
% 0.14/0.54 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.14/0.54 inference(cnf_transformation,[status(thm)],[f107])).
% 0.14/0.54 fof(f117,plain,(
% 0.14/0.54 ![X0,X1]: (~relation(X0)|~in(X1,relation_dom(X0))|in(ordered_pair(X1,sK0_skl(X1,relation_dom(X0),X0)),X0))),
% 0.14/0.54 inference(destructive_equality_resolution,[status(thm)],[f50])).
% 0.14/0.54 fof(f118,plain,(
% 0.14/0.54 ![X0,X1,X2]: (~relation(X0)|in(X1,relation_dom(X0))|~in(ordered_pair(X1,X2),X0))),
% 0.14/0.54 inference(destructive_equality_resolution,[status(thm)],[f51])).
% 0.14/0.54 fof(f119,plain,(
% 0.14/0.54 relation_of2(sK10_skl,sK9_skl,sK8_skl)),
% 0.14/0.54 inference(resolution,[status(thm)],[f75,f88])).
% 0.14/0.54 fof(f121,plain,(
% 0.14/0.54 relation_dom_as_subset(sK9_skl,sK8_skl,sK10_skl)=relation_dom(sK10_skl)),
% 0.14/0.54 inference(resolution,[status(thm)],[f72,f119])).
% 0.14/0.54 fof(f122,plain,(
% 0.14/0.54 ![X0]: (~in(X0,sK9_skl)|in(ordered_pair(X0,sK11_skl(X0)),sK10_skl)|relation_dom(sK10_skl)=sK9_skl)),
% 0.14/0.54 inference(backward_demodulation,[status(thm)],[f121,f89])).
% 0.14/0.54 fof(f123,plain,(
% 0.14/0.54 ![X0]: (~in(ordered_pair(sK12_skl,X0),sK10_skl)|~relation_dom(sK10_skl)=sK9_skl)),
% 0.14/0.54 inference(backward_demodulation,[status(thm)],[f121,f91])).
% 0.14/0.54 fof(f124,plain,(
% 0.14/0.54 in(sK12_skl,sK9_skl)|~relation_dom(sK10_skl)=sK9_skl),
% 0.14/0.54 inference(backward_demodulation,[status(thm)],[f121,f90])).
% 0.14/0.54 fof(f125,plain,(
% 0.14/0.54 element(relation_dom_as_subset(sK9_skl,sK8_skl,sK10_skl),powerset(sK9_skl))),
% 0.14/0.54 inference(resolution,[status(thm)],[f56,f119])).
% 0.14/0.54 fof(f126,plain,(
% 0.14/0.54 element(relation_dom(sK10_skl),powerset(sK9_skl))),
% 0.14/0.54 inference(forward_demodulation,[status(thm)],[f121,f125])).
% 0.14/0.54 fof(f186,plain,(
% 0.14/0.54 element(sK10_skl,powerset(cartesian_product2(sK9_skl,sK8_skl)))),
% 0.14/0.54 inference(resolution,[status(thm)],[f58,f88])).
% 0.14/0.54 fof(f187,plain,(
% 0.14/0.54 relation(sK10_skl)),
% 0.14/0.54 inference(resolution,[status(thm)],[f186,f44])).
% 0.14/0.54 fof(f236,plain,(
% 0.14/0.54 ![X0]: (~in(X0,relation_dom(sK10_skl))|~empty(sK9_skl))),
% 0.14/0.54 inference(resolution,[status(thm)],[f108,f126])).
% 0.14/0.54 fof(f263,plain,(
% 0.14/0.54 ![X0]: (in(sK13_skl(X0,sK9_skl),X0)|sK9_skl=X0|in(ordered_pair(sK13_skl(X0,sK9_skl),sK11_skl(sK13_skl(X0,sK9_skl))),sK10_skl)|relation_dom(sK10_skl)=sK9_skl)),
% 0.14/0.54 inference(resolution,[status(thm)],[f97,f122])).
% 0.14/0.54 fof(f273,plain,(
% 0.14/0.54 ![X0]: (in(sK13_skl(sK9_skl,X0),X0)|X0=sK9_skl|in(ordered_pair(sK13_skl(sK9_skl,X0),sK11_skl(sK13_skl(sK9_skl,X0))),sK10_skl)|relation_dom(sK10_skl)=sK9_skl)),
% 0.14/0.54 inference(resolution,[status(thm)],[f97,f122])).
% 0.14/0.54 fof(f290,plain,(
% 0.14/0.54 ![X0]: (in(sK13_skl(X0,sK9_skl),X0)|sK9_skl=X0|relation_dom(sK10_skl)=sK9_skl|~relation(sK10_skl)|in(sK13_skl(X0,sK9_skl),relation_dom(sK10_skl)))),
% 0.14/0.54 inference(resolution,[status(thm)],[f263,f118])).
% 0.14/0.54 fof(f295,plain,(
% 0.14/0.54 ![X0]: (in(sK13_skl(X0,sK9_skl),X0)|sK9_skl=X0|relation_dom(sK10_skl)=sK9_skl|in(sK13_skl(X0,sK9_skl),relation_dom(sK10_skl)))),
% 0.14/0.54 inference(forward_subsumption_resolution,[status(thm)],[f290,f187])).
% 0.14/0.54 fof(f328,plain,(
% 0.14/0.54 ![X0]: (in(sK13_skl(sK9_skl,X0),X0)|X0=sK9_skl|relation_dom(sK10_skl)=sK9_skl|~relation(sK10_skl)|in(sK13_skl(sK9_skl,X0),relation_dom(sK10_skl)))),
% 0.14/0.54 inference(resolution,[status(thm)],[f273,f118])).
% 0.14/0.54 fof(f333,plain,(
% 0.14/0.55 ![X0]: (in(sK13_skl(sK9_skl,X0),X0)|X0=sK9_skl|relation_dom(sK10_skl)=sK9_skl|in(sK13_skl(sK9_skl,X0),relation_dom(sK10_skl)))),
% 0.14/0.55 inference(forward_subsumption_resolution,[status(thm)],[f328,f187])).
% 0.14/0.55 fof(f370,plain,(
% 0.14/0.55 ![X0]: (~in(X0,relation_dom(sK10_skl))|element(X0,sK9_skl))),
% 0.14/0.55 inference(resolution,[status(thm)],[f105,f126])).
% 0.14/0.55 fof(f453,plain,(
% 0.14/0.55 sK9_skl=relation_dom(sK10_skl)|relation_dom(sK10_skl)=sK9_skl|~empty(sK9_skl)),
% 0.14/0.55 inference(resolution,[status(thm)],[f295,f236])).
% 0.14/0.55 fof(f474,plain,(
% 0.14/0.55 sK9_skl=relation_dom(sK10_skl)|~empty(sK9_skl)),
% 0.14/0.55 inference(duplicate_literals_removal,[status(thm)],[f453])).
% 0.14/0.55 fof(f747,plain,(
% 0.14/0.55 relation_dom(sK10_skl)=sK9_skl|relation_dom(sK10_skl)=sK9_skl|~in(sK13_skl(sK9_skl,relation_dom(sK10_skl)),sK9_skl)|relation_dom(sK10_skl)=sK9_skl),
% 0.14/0.55 inference(resolution,[status(thm)],[f333,f98])).
% 0.14/0.55 fof(f760,plain,(
% 0.14/0.55 relation_dom(sK10_skl)=sK9_skl|relation_dom(sK10_skl)=sK9_skl|element(sK13_skl(sK9_skl,relation_dom(sK10_skl)),sK9_skl)),
% 0.14/0.55 inference(resolution,[status(thm)],[f333,f370])).
% 0.14/0.55 fof(f781,plain,(
% 0.14/0.55 relation_dom(sK10_skl)=sK9_skl|~in(sK13_skl(sK9_skl,relation_dom(sK10_skl)),sK9_skl)),
% 0.14/0.55 inference(duplicate_literals_removal,[status(thm)],[f747])).
% 0.14/0.55 fof(f783,plain,(
% 0.14/0.55 relation_dom(sK10_skl)=sK9_skl|element(sK13_skl(sK9_skl,relation_dom(sK10_skl)),sK9_skl)),
% 0.14/0.55 inference(duplicate_literals_removal,[status(thm)],[f760])).
% 0.14/0.55 fof(f872,plain,(
% 0.14/0.55 relation_dom(sK10_skl)=sK9_skl|empty(sK9_skl)|in(sK13_skl(sK9_skl,relation_dom(sK10_skl)),sK9_skl)),
% 0.14/0.55 inference(resolution,[status(thm)],[f783,f93])).
% 0.14/0.55 fof(f873,plain,(
% 0.14/0.55 relation_dom(sK10_skl)=sK9_skl|in(sK13_skl(sK9_skl,relation_dom(sK10_skl)),sK9_skl)),
% 0.14/0.55 inference(forward_subsumption_resolution,[status(thm)],[f872,f474])).
% 0.14/0.55 fof(f914,plain,(
% 0.14/0.55 ![X0]: (~in(ordered_pair(sK12_skl,X0),sK10_skl)|~sK9_skl=sK9_skl)),
% 0.14/0.55 inference(backward_demodulation,[status(thm)],[f918,f123])).
% 0.14/0.55 fof(f916,plain,(
% 0.14/0.55 in(sK12_skl,sK9_skl)|~sK9_skl=sK9_skl),
% 0.14/0.55 inference(backward_demodulation,[status(thm)],[f918,f124])).
% 0.14/0.55 fof(f918,plain,(
% 0.14/0.55 relation_dom(sK10_skl)=sK9_skl),
% 0.14/0.55 inference(forward_subsumption_resolution,[status(thm)],[f873,f781])).
% 0.14/0.55 fof(f919,plain,(
% 0.14/0.55 ![X0]: (~relation(sK10_skl)|~in(X0,sK9_skl)|in(ordered_pair(X0,sK0_skl(X0,relation_dom(sK10_skl),sK10_skl)),sK10_skl))),
% 0.14/0.55 inference(paramodulation,[status(thm)],[f918,f117])).
% 0.14/0.55 fof(f931,plain,(
% 0.14/0.55 ![X0]: (~in(ordered_pair(sK12_skl,X0),sK10_skl))),
% 0.14/0.55 inference(trivial_equality_resolution,[status(thm)],[f914])).
% 0.14/0.55 fof(f932,plain,(
% 0.14/0.55 in(sK12_skl,sK9_skl)),
% 0.14/0.55 inference(trivial_equality_resolution,[status(thm)],[f916])).
% 0.14/0.55 fof(f933,plain,(
% 0.14/0.55 ![X0]: (~relation(sK10_skl)|~in(X0,sK9_skl)|in(ordered_pair(X0,sK0_skl(X0,sK9_skl,sK10_skl)),sK10_skl))),
% 0.14/0.55 inference(forward_demodulation,[status(thm)],[f918,f919])).
% 0.14/0.55 fof(f934,plain,(
% 0.14/0.55 ![X0]: (~in(X0,sK9_skl)|in(ordered_pair(X0,sK0_skl(X0,sK9_skl,sK10_skl)),sK10_skl))),
% 0.14/0.55 inference(forward_subsumption_resolution,[status(thm)],[f933,f187])).
% 0.14/0.55 fof(f1036,plain,(
% 0.14/0.55 in(ordered_pair(sK12_skl,sK0_skl(sK12_skl,sK9_skl,sK10_skl)),sK10_skl)),
% 0.14/0.55 inference(resolution,[status(thm)],[f934,f932])).
% 0.14/0.55 fof(f1047,plain,(
% 0.14/0.55 $false),
% 0.14/0.55 inference(forward_subsumption_resolution,[status(thm)],[f1036,f931])).
% 0.14/0.55 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.56 % Elapsed time: 0.196156 seconds
% 0.14/0.56 % CPU time: 1.231201 seconds
% 0.14/0.56 % Total memory used: 130.900 MB
% 0.14/0.56 % Net memory used: 128.901 MB
%------------------------------------------------------------------------------