%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET018+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 02:11:13 PM UTC 2026
% Result : Theorem 0.14s 0.58s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET018+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n020.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:43:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.58 % Refutation found
% 0.14/0.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.58 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.58 fof(f1,axiom,(
% 0.14/0.58 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f2,axiom,(
% 0.14/0.58 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f8,axiom,(
% 0.14/0.58 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f9,axiom,(
% 0.14/0.58 (! [X,A,B] :( member(X,unordered_pair(A,B))<=> ( X = A| X = B ) ) )),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f12,conjecture,(
% 0.14/0.58 (! [A,B,U,V] :( equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V)))=> B = V ) )),
% 0.14/0.58 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.58 fof(f13,negated_conjecture,(
% 0.14/0.58 ~((! [A,B,U,V] :( equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V)))=> B = V ) ))),
% 0.14/0.58 inference(negated_conjecture,[status(cth)],[f12])).
% 0.14/0.58 fof(f14,plain,(
% 0.14/0.58 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.14/0.58 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/0.58 fof(f15,plain,(
% 0.14/0.58 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.14/0.58 inference(NNF_transformation,[status(thm)],[f14])).
% 0.14/0.58 fof(f16,plain,(
% 0.14/0.58 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.14/0.58 inference(miniscoping,[status(thm)],[f15])).
% 0.14/0.58 fof(f17,plain,(
% 0.14/0.58 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(member(sK0_skl(B,A),A)&~member(sK0_skl(B,A),B))))),
% 0.14/0.58 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.14/0.58 fof(f18,plain,(
% 0.14/0.58 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.58 fof(f21,plain,(
% 0.14/0.58 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.14/0.58 inference(NNF_transformation,[status(thm)],[f2])).
% 0.14/0.58 fof(f22,plain,(
% 0.14/0.58 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.14/0.58 inference(miniscoping,[status(thm)],[f21])).
% 0.14/0.58 fof(f23,plain,(
% 0.14/0.58 ![X0,X1]: (~equal_set(X0,X1)|subset(X0,X1))),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.58 fof(f24,plain,(
% 0.14/0.58 ![X0,X1]: (~equal_set(X0,X1)|subset(X1,X0))),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.58 fof(f46,plain,(
% 0.14/0.58 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 0.14/0.58 inference(NNF_transformation,[status(thm)],[f8])).
% 0.14/0.58 fof(f47,plain,(
% 0.14/0.58 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 0.14/0.58 inference(miniscoping,[status(thm)],[f46])).
% 0.14/0.58 fof(f48,plain,(
% 0.14/0.58 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.58 fof(f49,plain,(
% 0.14/0.58 ![X0,X1]: (member(X0,singleton(X1))|~X0=X1)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.58 fof(f50,plain,(
% 0.14/0.58 ![X,A,B]: ((~member(X,unordered_pair(A,B))|(X=A|X=B))&(member(X,unordered_pair(A,B))|(~X=A&~X=B)))),
% 0.14/0.58 inference(NNF_transformation,[status(thm)],[f9])).
% 0.14/0.58 fof(f51,plain,(
% 0.14/0.58 (![X,A,B]: (~member(X,unordered_pair(A,B))|(X=A|X=B)))&(![X,A,B]: (member(X,unordered_pair(A,B))|(~X=A&~X=B)))),
% 0.14/0.58 inference(miniscoping,[status(thm)],[f50])).
% 0.14/0.58 fof(f52,plain,(
% 0.14/0.58 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/0.58 fof(f53,plain,(
% 0.14/0.58 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~X0=X1)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/0.58 fof(f54,plain,(
% 0.14/0.58 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~X0=X2)),
% 0.14/0.58 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/0.58 fof(f68,plain,(
% 0.14/0.58 (?[A,B,U,V]: (equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V)))&~B=V))),
% 0.14/0.58 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.14/0.59 fof(f69,plain,(
% 0.14/0.59 ?[B,V]: ((?[A,U]: equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V))))&~B=V)),
% 0.14/0.59 inference(miniscoping,[status(thm)],[f68])).
% 0.14/0.59 fof(f70,plain,(
% 0.14/0.59 (equal_set(unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)),unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl)))&~sK3_skl=sK4_skl)),
% 0.14/0.59 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(B,sK3_skl),skolemize(V,sK4_skl),skolemize(A,sK5_skl),skolemize(U,sK6_skl)],[f69])).
% 0.14/0.59 fof(f71,plain,(
% 0.14/0.59 equal_set(unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)),unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl)))),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f70])).
% 0.14/0.59 fof(f72,plain,(
% 0.14/0.59 ~sK3_skl=sK4_skl),
% 0.14/0.59 inference(cnf_transformation,[status(thm)],[f70])).
% 0.14/0.59 fof(f73,plain,(
% 0.14/0.59 ![X0]: (member(X0,singleton(X0)))),
% 0.14/0.59 inference(destructive_equality_resolution,[status(thm)],[f49])).
% 0.14/0.59 fof(f74,plain,(
% 0.14/0.59 ![X0,X1]: (member(X0,unordered_pair(X0,X1)))),
% 0.14/0.59 inference(destructive_equality_resolution,[status(thm)],[f53])).
% 0.14/0.59 fof(f75,plain,(
% 0.14/0.59 ![X0,X1]: (member(X0,unordered_pair(X1,X0)))),
% 0.14/0.59 inference(destructive_equality_resolution,[status(thm)],[f54])).
% 0.14/0.59 fof(f82,plain,(
% 0.14/0.59 ![X0,X1,X2]: (~member(X0,X1)|member(X0,X2)|~equal_set(X2,X1))),
% 0.14/0.59 inference(resolution,[status(thm)],[f18,f24])).
% 0.14/0.59 fof(f83,plain,(
% 0.14/0.59 ![X0,X1,X2]: (~member(X0,X1)|member(X0,X2)|~equal_set(X1,X2))),
% 0.14/0.59 inference(resolution,[status(thm)],[f18,f23])).
% 0.14/0.59 fof(f84,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl)))|member(X0,unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl))))),
% 0.14/0.59 inference(resolution,[status(thm)],[f82,f71])).
% 0.14/0.59 fof(f86,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)))|member(X0,unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl))))),
% 0.14/0.59 inference(resolution,[status(thm)],[f83,f71])).
% 0.14/0.59 fof(f88,plain,(
% 0.14/0.59 member(unordered_pair(sK6_skl,sK4_skl),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)))),
% 0.14/0.59 inference(resolution,[status(thm)],[f84,f75])).
% 0.14/0.59 fof(f89,plain,(
% 0.14/0.59 member(singleton(sK6_skl),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)))),
% 0.14/0.59 inference(resolution,[status(thm)],[f84,f74])).
% 0.14/0.59 fof(f90,plain,(
% 0.14/0.59 singleton(sK6_skl)=singleton(sK5_skl)|singleton(sK6_skl)=unordered_pair(sK5_skl,sK3_skl)),
% 0.14/0.59 inference(resolution,[status(thm)],[f89,f52])).
% 0.14/0.59 fof(f91,definition,(
% 0.14/0.59 sQ0_spl <=> (singleton(sK6_skl)=singleton(sK5_skl))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f92,plain,(
% 0.14/0.59 singleton(sK6_skl)=singleton(sK5_skl)|~sQ0_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.59 fof(f93,plain,(
% 0.14/0.59 ~singleton(sK6_skl)=singleton(sK5_skl)|sQ0_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f91])).
% 0.14/0.59 fof(f94,definition,(
% 0.14/0.59 sQ1_spl <=> (singleton(sK6_skl)=unordered_pair(sK5_skl,sK3_skl))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f95,plain,(
% 0.14/0.59 singleton(sK6_skl)=unordered_pair(sK5_skl,sK3_skl)|~sQ1_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f94])).
% 0.14/0.59 fof(f96,plain,(
% 0.14/0.59 ~singleton(sK6_skl)=unordered_pair(sK5_skl,sK3_skl)|sQ1_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f94])).
% 0.14/0.59 fof(f97,plain,(
% 0.14/0.59 sQ0_spl|sQ1_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f90,f91,f94])).
% 0.14/0.59 fof(f102,plain,(
% 0.14/0.59 member(sK6_skl,singleton(sK5_skl))|~sQ0_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f92,f73])).
% 0.14/0.59 fof(f105,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)))|member(X0,unordered_pair(singleton(sK5_skl),unordered_pair(sK6_skl,sK4_skl)))|~sQ0_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f92,f86])).
% 0.14/0.59 fof(f106,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)))|X0=singleton(sK5_skl)|X0=unordered_pair(sK6_skl,sK4_skl)|~sQ0_spl)),
% 0.14/0.59 inference(resolution,[status(thm)],[f105,f52])).
% 0.14/0.59 fof(f107,plain,(
% 0.14/0.59 sK6_skl=sK5_skl|~sQ0_spl),
% 0.14/0.59 inference(resolution,[status(thm)],[f102,f48])).
% 0.14/0.59 fof(f149,plain,(
% 0.14/0.59 member(unordered_pair(sK5_skl,sK4_skl),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK3_skl)))|~sQ0_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f107,f88])).
% 0.14/0.59 fof(f150,plain,(
% 0.14/0.59 unordered_pair(sK5_skl,sK4_skl)=singleton(sK5_skl)|unordered_pair(sK5_skl,sK4_skl)=unordered_pair(sK5_skl,sK3_skl)|~sQ0_spl),
% 0.14/0.59 inference(resolution,[status(thm)],[f149,f52])).
% 0.14/0.59 fof(f151,definition,(
% 0.14/0.59 sQ2_spl <=> (unordered_pair(sK5_skl,sK4_skl)=singleton(sK5_skl))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f152,plain,(
% 0.14/0.59 unordered_pair(sK5_skl,sK4_skl)=singleton(sK5_skl)|~sQ2_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f151])).
% 0.14/0.59 fof(f154,definition,(
% 0.14/0.59 sQ3_spl <=> (unordered_pair(sK5_skl,sK4_skl)=unordered_pair(sK5_skl,sK3_skl))),
% 0.14/0.59 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.59 fof(f155,plain,(
% 0.14/0.59 unordered_pair(sK5_skl,sK4_skl)=unordered_pair(sK5_skl,sK3_skl)|~sQ3_spl),
% 0.14/0.59 inference(component_clause,[status(thm)],[f154])).
% 0.14/0.59 fof(f157,plain,(
% 0.14/0.59 sQ2_spl|sQ3_spl|~sQ0_spl),
% 0.14/0.59 inference(split_clause,[status(thm)],[f150,f151,f154,f91])).
% 0.14/0.59 fof(f158,plain,(
% 0.14/0.59 member(sK3_skl,singleton(sK6_skl))|~sQ1_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f95,f75])).
% 0.14/0.59 fof(f159,plain,(
% 0.14/0.59 member(sK5_skl,singleton(sK6_skl))|~sQ1_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f95,f74])).
% 0.14/0.59 fof(f161,plain,(
% 0.14/0.59 sK3_skl=sK6_skl|~sQ1_spl),
% 0.14/0.59 inference(resolution,[status(thm)],[f158,f48])).
% 0.14/0.59 fof(f164,plain,(
% 0.14/0.59 member(sK5_skl,singleton(sK3_skl))|~sQ1_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f161,f159])).
% 0.14/0.59 fof(f165,plain,(
% 0.14/0.59 sK5_skl=sK3_skl|~sQ1_spl),
% 0.14/0.59 inference(resolution,[status(thm)],[f164,f48])).
% 0.14/0.59 fof(f188,plain,(
% 0.14/0.59 member(sK4_skl,singleton(sK5_skl))|~sQ2_spl),
% 0.14/0.59 inference(paramodulation,[status(thm)],[f152,f75])).
% 0.14/0.59 fof(f191,plain,(
% 0.14/0.59 sK4_skl=sK5_skl|~sQ2_spl),
% 0.14/0.59 inference(resolution,[status(thm)],[f188,f48])).
% 0.14/0.59 fof(f193,plain,(
% 0.14/0.59 unordered_pair(sK5_skl,sK4_skl)=singleton(sK4_skl)|~sQ2_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f191,f152])).
% 0.14/0.59 fof(f194,plain,(
% 0.14/0.59 sK6_skl=sK4_skl|~sQ2_spl|~sQ0_spl),
% 0.14/0.59 inference(backward_demodulation,[status(thm)],[f191,f107])).
% 0.14/0.59 fof(f195,plain,(
% 0.14/0.59 unordered_pair(sK4_skl,sK4_skl)=singleton(sK4_skl)|~sQ2_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f191,f193])).
% 0.14/0.59 fof(f196,plain,(
% 0.14/0.59 ~singleton(sK4_skl)=unordered_pair(sK5_skl,sK3_skl)|~sQ2_spl|~sQ0_spl|sQ1_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f194,f96])).
% 0.14/0.59 fof(f197,plain,(
% 0.14/0.59 ~singleton(sK4_skl)=unordered_pair(sK4_skl,sK3_skl)|~sQ2_spl|~sQ0_spl|sQ1_spl),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f191,f196])).
% 0.14/0.59 fof(f314,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK4_skl),unordered_pair(sK5_skl,sK3_skl)))|X0=singleton(sK5_skl)|X0=unordered_pair(sK6_skl,sK4_skl)|~sQ2_spl|~sQ0_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f191,f106])).
% 0.14/0.59 fof(f315,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl)))|X0=singleton(sK5_skl)|X0=unordered_pair(sK6_skl,sK4_skl)|~sQ2_spl|~sQ0_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f191,f314])).
% 0.14/0.59 fof(f316,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl)))|X0=singleton(sK4_skl)|X0=unordered_pair(sK6_skl,sK4_skl)|~sQ2_spl|~sQ0_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f191,f315])).
% 0.14/0.59 fof(f317,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl)))|X0=singleton(sK4_skl)|X0=unordered_pair(sK4_skl,sK4_skl)|~sQ2_spl|~sQ0_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f194,f316])).
% 0.14/0.59 fof(f318,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl)))|X0=singleton(sK4_skl)|X0=singleton(sK4_skl)|~sQ2_spl|~sQ0_spl)),
% 0.14/0.59 inference(forward_demodulation,[status(thm)],[f195,f317])).
% 0.14/0.59 fof(f319,plain,(
% 0.14/0.59 ![X0]: (~member(X0,unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK3_skl)))|X0=singleton(sK4_skl)|~sQ2_spl|~sQ0_spl)),
% 0.14/0.59 inference(duplicate_literals_removal,[status(thm)],[f318])).
% 0.14/0.60 fof(f324,plain,(
% 0.14/0.60 unordered_pair(sK4_skl,sK3_skl)=singleton(sK4_skl)|~sQ2_spl|~sQ0_spl),
% 0.14/0.60 inference(resolution,[status(thm)],[f319,f75])).
% 0.14/0.60 fof(f326,plain,(
% 0.14/0.60 $false|sQ1_spl|~sQ2_spl|~sQ0_spl),
% 0.14/0.60 inference(forward_subsumption_resolution,[status(thm)],[f324,f197])).
% 0.14/0.60 fof(f327,plain,(
% 0.14/0.60 sQ1_spl|~sQ2_spl|~sQ0_spl),
% 0.14/0.60 inference(contradiction_clause,[status(thm)],[f326])).
% 0.14/0.60 fof(f333,plain,(
% 0.14/0.60 sK3_skl=sK4_skl|~sQ1_spl|~sQ2_spl|~sQ0_spl),
% 0.14/0.60 inference(backward_demodulation,[status(thm)],[f161,f194])).
% 0.14/0.60 fof(f334,plain,(
% 0.14/0.60 $false|~sQ1_spl|~sQ2_spl|~sQ0_spl),
% 0.14/0.60 inference(forward_subsumption_resolution,[status(thm)],[f333,f72])).
% 0.14/0.60 fof(f335,plain,(
% 0.14/0.60 ~sQ1_spl|~sQ2_spl|~sQ0_spl),
% 0.14/0.60 inference(contradiction_clause,[status(thm)],[f334])).
% 0.14/0.60 fof(f342,plain,(
% 0.14/0.60 member(sK4_skl,unordered_pair(sK5_skl,sK3_skl))|~sQ3_spl),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f155,f75])).
% 0.14/0.60 fof(f347,plain,(
% 0.14/0.60 sK4_skl=sK5_skl|sK4_skl=sK3_skl|~sQ3_spl),
% 0.14/0.60 inference(resolution,[status(thm)],[f342,f52])).
% 0.14/0.60 fof(f348,definition,(
% 0.14/0.60 sQ4_spl <=> (sK4_skl=sK5_skl)),
% 0.14/0.60 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.60 fof(f349,plain,(
% 0.14/0.60 sK4_skl=sK5_skl|~sQ4_spl),
% 0.14/0.60 inference(component_clause,[status(thm)],[f348])).
% 0.14/0.60 fof(f351,definition,(
% 0.14/0.60 sQ5_spl <=> (sK4_skl=sK3_skl)),
% 0.14/0.60 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.60 fof(f352,plain,(
% 0.14/0.60 sK4_skl=sK3_skl|~sQ5_spl),
% 0.14/0.60 inference(component_clause,[status(thm)],[f351])).
% 0.14/0.60 fof(f354,plain,(
% 0.14/0.60 sQ4_spl|sQ5_spl|~sQ3_spl),
% 0.14/0.60 inference(split_clause,[status(thm)],[f347,f348,f351,f154])).
% 0.14/0.60 fof(f356,plain,(
% 0.14/0.60 unordered_pair(sK5_skl,sK4_skl)=unordered_pair(sK4_skl,sK3_skl)|~sQ4_spl|~sQ3_spl),
% 0.14/0.60 inference(backward_demodulation,[status(thm)],[f349,f155])).
% 0.14/0.60 fof(f359,plain,(
% 0.14/0.60 unordered_pair(sK4_skl,sK4_skl)=unordered_pair(sK4_skl,sK3_skl)|~sQ4_spl|~sQ3_spl),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f349,f356])).
% 0.14/0.60 fof(f364,plain,(
% 0.14/0.60 ![X0]: (~member(X0,unordered_pair(sK4_skl,sK3_skl))|X0=sK4_skl|X0=sK4_skl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f359,f52])).
% 0.14/0.60 fof(f368,plain,(
% 0.14/0.60 ![X0]: (~member(X0,unordered_pair(sK4_skl,sK3_skl))|X0=sK4_skl|~sQ4_spl|~sQ3_spl)),
% 0.14/0.60 inference(duplicate_literals_removal,[status(thm)],[f364])).
% 0.14/0.60 fof(f373,plain,(
% 0.14/0.60 sK3_skl=sK4_skl|~sQ4_spl|~sQ3_spl),
% 0.14/0.60 inference(resolution,[status(thm)],[f368,f75])).
% 0.14/0.60 fof(f375,plain,(
% 0.14/0.60 $false|~sQ4_spl|~sQ3_spl),
% 0.14/0.60 inference(forward_subsumption_resolution,[status(thm)],[f373,f72])).
% 0.14/0.60 fof(f376,plain,(
% 0.14/0.60 ~sQ4_spl|~sQ3_spl),
% 0.14/0.60 inference(contradiction_clause,[status(thm)],[f375])).
% 0.14/0.60 fof(f377,plain,(
% 0.14/0.60 ~singleton(sK3_skl)=singleton(sK5_skl)|~sQ1_spl|sQ0_spl),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f161,f93])).
% 0.14/0.60 fof(f378,plain,(
% 0.14/0.60 ~singleton(sK3_skl)=singleton(sK3_skl)|~sQ1_spl|sQ0_spl),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f165,f377])).
% 0.14/0.60 fof(f379,plain,(
% 0.14/0.60 $false|~sQ1_spl|sQ0_spl),
% 0.14/0.60 inference(trivial_equality_resolution,[status(thm)],[f378])).
% 0.14/0.60 fof(f380,plain,(
% 0.14/0.60 ~sQ1_spl|sQ0_spl),
% 0.14/0.60 inference(contradiction_clause,[status(thm)],[f379])).
% 0.14/0.60 fof(f381,plain,(
% 0.14/0.60 $false|~sQ5_spl),
% 0.14/0.60 inference(forward_subsumption_resolution,[status(thm)],[f352,f72])).
% 0.14/0.60 fof(f382,plain,(
% 0.14/0.60 ~sQ5_spl),
% 0.14/0.60 inference(contradiction_clause,[status(thm)],[f381])).
% 0.14/0.60 fof(f383,plain,(
% 0.14/0.60 $false),
% 0.14/0.60 inference(sat_refutation,[status(thm)],[f97,f157,f327,f335,f354,f376,f380,f382])).
% 0.14/0.60 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.62 % Elapsed time: 0.247098 seconds
% 0.14/0.62 % CPU time: 1.677560 seconds
% 0.14/0.62 % Total memory used: 100.705 MB
% 0.14/0.62 % Net memory used: 98.572 MB
%------------------------------------------------------------------------------