%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET707+4 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 02:12:29 PM UTC 2026
% Result : Theorem 0.14s 0.75s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET707+4 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.54 % Computer : n017.cluster.edu
% 0.10/0.54 % Model : x86_64 x86_64
% 0.10/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.54 % Memory : 8046.5625MB
% 0.10/0.54 % OS : Linux 6.8.0-71-generic
% 0.10/0.54 % CPULimit : 300
% 0.10/0.54 % WCLimit : 300
% 0.10/0.54 % DateTime : Mon Sep 21 05:28:27 UTC 2026
% 0.10/0.54 % CPUTime :
% 0.10/0.56 % Drodi V4.1.1
% 0.14/0.75 % Refutation found
% 0.14/0.75 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.75 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.75 fof(f1,axiom,(
% 0.14/0.75 (! [A,B] :( subset(A,B)<=> (! [X] :( member(X,A)=> member(X,B) ) )) )),
% 0.14/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.75 fof(f2,axiom,(
% 0.14/0.75 (! [A,B] :( equal_set(A,B)<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.14/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.75 fof(f8,axiom,(
% 0.14/0.75 (! [X,A] :( member(X,singleton(A))<=> X = A ) )),
% 0.14/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.75 fof(f9,axiom,(
% 0.14/0.75 (! [X,A,B] :( member(X,unordered_pair(A,B))<=> ( X = A| X = B ) ) )),
% 0.14/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.75 fof(f12,conjecture,(
% 0.14/0.75 (! [A,B,U,V] :( equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V)))=> ( A = U& B = V ) ) )),
% 0.14/0.75 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.75 fof(f13,negated_conjecture,(
% 0.14/0.75 ~((! [A,B,U,V] :( equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V)))=> ( A = U& B = V ) ) ))),
% 0.14/0.75 inference(negated_conjecture,[status(cth)],[f12])).
% 0.14/0.75 fof(f14,plain,(
% 0.14/0.75 ![A,B]: (subset(A,B)<=>(![X]: (~member(X,A)|member(X,B))))),
% 0.14/0.75 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.14/0.75 fof(f15,plain,(
% 0.14/0.75 ![A,B]: ((~subset(A,B)|(![X]: (~member(X,A)|member(X,B))))&(subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.14/0.75 inference(NNF_transformation,[status(thm)],[f14])).
% 0.14/0.75 fof(f16,plain,(
% 0.14/0.75 (![A,B]: (~subset(A,B)|(![X]: (~member(X,A)|member(X,B)))))&(![A,B]: (subset(A,B)|(?[X]: (member(X,A)&~member(X,B)))))),
% 0.14/0.75 inference(miniscoping,[status(thm)],[f15])).
% 0.14/0.75 fof(f17,plain,(
% 0.14/0.75 (![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))))),
% 0.14/0.75 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X,sK0_skl(B,A))],[f16])).
% 0.14/0.75 fof(f18,plain,(
% 0.14/0.75 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.75 fof(f21,plain,(
% 0.14/0.75 ![A,B]: ((~equal_set(A,B)|(subset(A,B)&subset(B,A)))&(equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.14/0.75 inference(NNF_transformation,[status(thm)],[f2])).
% 0.14/0.75 fof(f22,plain,(
% 0.14/0.75 (![A,B]: (~equal_set(A,B)|(subset(A,B)&subset(B,A))))&(![A,B]: (equal_set(A,B)|(~subset(A,B)|~subset(B,A))))),
% 0.14/0.75 inference(miniscoping,[status(thm)],[f21])).
% 0.14/0.75 fof(f23,plain,(
% 0.14/0.75 ![X0,X1]: (~equal_set(X0,X1)|subset(X0,X1))),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.75 fof(f24,plain,(
% 0.14/0.75 ![X0,X1]: (~equal_set(X0,X1)|subset(X1,X0))),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.75 fof(f46,plain,(
% 0.14/0.75 ![X,A]: ((~member(X,singleton(A))|X=A)&(member(X,singleton(A))|~X=A))),
% 0.14/0.75 inference(NNF_transformation,[status(thm)],[f8])).
% 0.14/0.75 fof(f47,plain,(
% 0.14/0.75 (![X,A]: (~member(X,singleton(A))|X=A))&(![X,A]: (member(X,singleton(A))|~X=A))),
% 0.14/0.75 inference(miniscoping,[status(thm)],[f46])).
% 0.14/0.75 fof(f48,plain,(
% 0.14/0.75 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.75 fof(f49,plain,(
% 0.14/0.75 ![X0,X1]: (member(X0,singleton(X1))|~X0=X1)),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f47])).
% 0.14/0.75 fof(f50,plain,(
% 0.14/0.75 ![X,A,B]: ((~member(X,unordered_pair(A,B))|(X=A|X=B))&(member(X,unordered_pair(A,B))|(~X=A&~X=B)))),
% 0.14/0.75 inference(NNF_transformation,[status(thm)],[f9])).
% 0.14/0.75 fof(f51,plain,(
% 0.14/0.75 (![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)))),
% 0.14/0.75 inference(miniscoping,[status(thm)],[f50])).
% 0.14/0.75 fof(f52,plain,(
% 0.14/0.75 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/0.75 fof(f53,plain,(
% 0.14/0.75 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~X0=X1)),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/0.75 fof(f54,plain,(
% 0.14/0.75 ![X0,X1,X2]: (member(X0,unordered_pair(X1,X2))|~X0=X2)),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f51])).
% 0.14/0.75 fof(f68,plain,(
% 0.14/0.75 (?[A,B,U,V]: (equal_set(unordered_pair(singleton(A),unordered_pair(A,B)),unordered_pair(singleton(U),unordered_pair(U,V)))&(~A=U|~B=V)))),
% 0.14/0.75 inference(pre_NNF_transformation,[status(thm)],[f13])).
% 0.14/0.75 fof(f69,plain,(
% 0.14/0.75 (equal_set(unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl)),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK6_skl)))&(~sK3_skl=sK5_skl|~sK4_skl=sK6_skl))),
% 0.14/0.75 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl,sK6_skl]),skolemize(A,sK3_skl),skolemize(B,sK4_skl),skolemize(U,sK5_skl),skolemize(V,sK6_skl)],[f68])).
% 0.14/0.75 fof(f70,plain,(
% 0.14/0.75 equal_set(unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl)),unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK6_skl)))),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f69])).
% 0.14/0.75 fof(f71,plain,(
% 0.14/0.75 ~sK3_skl=sK5_skl|~sK4_skl=sK6_skl),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f69])).
% 0.14/0.75 fof(f72,definition,(
% 0.14/0.75 sQ0_spl <=> (sK3_skl=sK5_skl)),
% 0.14/0.75 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.75 fof(f73,plain,(
% 0.14/0.75 sK3_skl=sK5_skl|~sQ0_spl),
% 0.14/0.75 inference(component_clause,[status(thm)],[f72])).
% 0.14/0.75 fof(f74,plain,(
% 0.14/0.75 ~sK3_skl=sK5_skl|sQ0_spl),
% 0.14/0.75 inference(component_clause,[status(thm)],[f72])).
% 0.14/0.75 fof(f75,definition,(
% 0.14/0.75 sQ1_spl <=> (sK4_skl=sK6_skl)),
% 0.14/0.75 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.75 fof(f77,plain,(
% 0.14/0.75 ~sK4_skl=sK6_skl|sQ1_spl),
% 0.14/0.75 inference(component_clause,[status(thm)],[f75])).
% 0.14/0.75 fof(f78,plain,(
% 0.14/0.75 ~sQ0_spl|~sQ1_spl),
% 0.14/0.75 inference(split_clause,[status(thm)],[f71,f72,f75])).
% 0.14/0.75 fof(f79,plain,(
% 0.14/0.75 ![X0]: (member(X0,singleton(X0)))),
% 0.14/0.75 inference(destructive_equality_resolution,[status(thm)],[f49])).
% 0.14/0.75 fof(f80,plain,(
% 0.14/0.75 ![X0,X1]: (member(X0,unordered_pair(X0,X1)))),
% 0.14/0.75 inference(destructive_equality_resolution,[status(thm)],[f53])).
% 0.14/0.75 fof(f81,plain,(
% 0.14/0.75 ![X0,X1]: (member(X0,unordered_pair(X1,X0)))),
% 0.14/0.75 inference(destructive_equality_resolution,[status(thm)],[f54])).
% 0.14/0.75 fof(f88,plain,(
% 0.14/0.75 ![X0,X1,X2]: (~member(X0,X1)|member(X0,X2)|~equal_set(X2,X1))),
% 0.14/0.75 inference(resolution,[status(thm)],[f18,f24])).
% 0.14/0.75 fof(f89,plain,(
% 0.14/0.75 ![X0,X1,X2]: (~member(X0,X1)|member(X0,X2)|~equal_set(X1,X2))),
% 0.14/0.75 inference(resolution,[status(thm)],[f18,f23])).
% 0.14/0.75 fof(f90,plain,(
% 0.14/0.75 ![X0]: (~member(X0,unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK6_skl)))|member(X0,unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl))))),
% 0.14/0.75 inference(resolution,[status(thm)],[f88,f70])).
% 0.14/0.75 fof(f92,plain,(
% 0.14/0.75 ![X0]: (~member(X0,unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl)))|member(X0,unordered_pair(singleton(sK5_skl),unordered_pair(sK5_skl,sK6_skl))))),
% 0.14/0.75 inference(resolution,[status(thm)],[f89,f70])).
% 0.14/0.75 fof(f94,plain,(
% 0.14/0.75 member(unordered_pair(sK5_skl,sK6_skl),unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl)))),
% 0.14/0.75 inference(resolution,[status(thm)],[f90,f81])).
% 0.14/0.75 fof(f95,plain,(
% 0.14/0.75 member(singleton(sK5_skl),unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl)))),
% 0.14/0.75 inference(resolution,[status(thm)],[f90,f80])).
% 0.14/0.75 fof(f96,plain,(
% 0.14/0.75 singleton(sK5_skl)=singleton(sK3_skl)|singleton(sK5_skl)=unordered_pair(sK3_skl,sK4_skl)),
% 0.14/0.75 inference(resolution,[status(thm)],[f95,f52])).
% 0.14/0.75 fof(f97,definition,(
% 0.14/0.75 sQ2_spl <=> (singleton(sK5_skl)=singleton(sK3_skl))),
% 0.14/0.75 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.14/0.75 fof(f98,plain,(
% 0.14/0.75 singleton(sK5_skl)=singleton(sK3_skl)|~sQ2_spl),
% 0.14/0.75 inference(component_clause,[status(thm)],[f97])).
% 0.14/0.75 fof(f100,definition,(
% 0.14/0.75 sQ3_spl <=> (singleton(sK5_skl)=unordered_pair(sK3_skl,sK4_skl))),
% 0.14/0.75 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.75 fof(f101,plain,(
% 0.14/0.75 singleton(sK5_skl)=unordered_pair(sK3_skl,sK4_skl)|~sQ3_spl),
% 0.14/0.75 inference(component_clause,[status(thm)],[f100])).
% 0.14/0.75 fof(f102,plain,(
% 0.14/0.75 ~singleton(sK5_skl)=unordered_pair(sK3_skl,sK4_skl)|sQ3_spl),
% 0.14/0.75 inference(component_clause,[status(thm)],[f100])).
% 0.14/0.75 fof(f103,plain,(
% 0.14/0.75 sQ2_spl|sQ3_spl),
% 0.14/0.75 inference(split_clause,[status(thm)],[f96,f97,f100])).
% 0.14/0.75 fof(f108,plain,(
% 0.14/0.75 member(sK5_skl,singleton(sK3_skl))|~sQ2_spl),
% 0.14/0.75 inference(paramodulation,[status(thm)],[f98,f79])).
% 0.14/0.75 fof(f111,plain,(
% 0.14/0.75 ![X0]: (~member(X0,unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl)))|member(X0,unordered_pair(singleton(sK3_skl),unordered_pair(sK5_skl,sK6_skl)))|~sQ2_spl)),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f98,f92])).
% 0.14/0.77 fof(f112,plain,(
% 0.14/0.77 ![X0]: (~member(X0,unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl)))|X0=singleton(sK3_skl)|X0=unordered_pair(sK5_skl,sK6_skl)|~sQ2_spl)),
% 0.14/0.77 inference(resolution,[status(thm)],[f111,f52])).
% 0.14/0.77 fof(f113,plain,(
% 0.14/0.77 sK5_skl=sK3_skl|~sQ2_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f108,f48])).
% 0.14/0.77 fof(f114,plain,(
% 0.14/0.77 $false|sQ0_spl|~sQ2_spl),
% 0.14/0.77 inference(forward_subsumption_resolution,[status(thm)],[f113,f74])).
% 0.14/0.77 fof(f115,plain,(
% 0.14/0.77 sQ0_spl|~sQ2_spl),
% 0.14/0.77 inference(contradiction_clause,[status(thm)],[f114])).
% 0.14/0.77 fof(f117,plain,(
% 0.14/0.77 singleton(sK3_skl)=unordered_pair(sK3_skl,sK4_skl)|~sQ0_spl|~sQ3_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f73,f101])).
% 0.14/0.77 fof(f118,plain,(
% 0.14/0.77 member(sK4_skl,singleton(sK3_skl))|~sQ0_spl|~sQ3_spl),
% 0.14/0.77 inference(paramodulation,[status(thm)],[f117,f81])).
% 0.14/0.77 fof(f121,plain,(
% 0.14/0.77 sK4_skl=sK3_skl|~sQ0_spl|~sQ3_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f118,f48])).
% 0.14/0.77 fof(f123,plain,(
% 0.14/0.77 singleton(sK3_skl)=unordered_pair(sK4_skl,sK4_skl)|~sQ0_spl|~sQ3_spl),
% 0.14/0.77 inference(backward_demodulation,[status(thm)],[f121,f117])).
% 0.14/0.77 fof(f124,plain,(
% 0.14/0.77 sK4_skl=sK5_skl|~sQ3_spl|~sQ0_spl),
% 0.14/0.77 inference(backward_demodulation,[status(thm)],[f121,f73])).
% 0.14/0.77 fof(f125,plain,(
% 0.14/0.77 singleton(sK4_skl)=unordered_pair(sK4_skl,sK4_skl)|~sQ0_spl|~sQ3_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f121,f123])).
% 0.14/0.77 fof(f160,plain,(
% 0.14/0.77 member(unordered_pair(sK4_skl,sK6_skl),unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl)))|~sQ3_spl|~sQ0_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f124,f94])).
% 0.14/0.77 fof(f161,plain,(
% 0.14/0.77 member(unordered_pair(sK4_skl,sK6_skl),unordered_pair(singleton(sK4_skl),unordered_pair(sK3_skl,sK4_skl)))|~sQ3_spl|~sQ0_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f121,f160])).
% 0.14/0.77 fof(f162,plain,(
% 0.14/0.77 member(unordered_pair(sK4_skl,sK6_skl),unordered_pair(singleton(sK4_skl),unordered_pair(sK4_skl,sK4_skl)))|~sQ3_spl|~sQ0_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f121,f161])).
% 0.14/0.77 fof(f163,plain,(
% 0.14/0.77 member(unordered_pair(sK4_skl,sK6_skl),unordered_pair(singleton(sK4_skl),singleton(sK4_skl)))|~sQ3_spl|~sQ0_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f125,f162])).
% 0.14/0.77 fof(f164,plain,(
% 0.14/0.77 unordered_pair(sK4_skl,sK6_skl)=singleton(sK4_skl)|unordered_pair(sK4_skl,sK6_skl)=singleton(sK4_skl)|~sQ3_spl|~sQ0_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f163,f52])).
% 0.14/0.77 fof(f165,definition,(
% 0.14/0.77 sQ4_spl <=> (unordered_pair(sK4_skl,sK6_skl)=singleton(sK4_skl))),
% 0.14/0.77 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.14/0.77 fof(f166,plain,(
% 0.14/0.77 unordered_pair(sK4_skl,sK6_skl)=singleton(sK4_skl)|~sQ4_spl),
% 0.14/0.77 inference(component_clause,[status(thm)],[f165])).
% 0.14/0.77 fof(f168,plain,(
% 0.14/0.77 sQ4_spl|~sQ3_spl|~sQ0_spl),
% 0.14/0.77 inference(split_clause,[status(thm)],[f164,f165,f100,f72])).
% 0.14/0.77 fof(f169,plain,(
% 0.14/0.77 member(sK4_skl,singleton(sK5_skl))|~sQ3_spl),
% 0.14/0.77 inference(paramodulation,[status(thm)],[f101,f81])).
% 0.14/0.77 fof(f170,plain,(
% 0.14/0.77 member(sK3_skl,singleton(sK5_skl))|~sQ3_spl),
% 0.14/0.77 inference(paramodulation,[status(thm)],[f101,f80])).
% 0.14/0.77 fof(f172,plain,(
% 0.14/0.77 sK4_skl=sK5_skl|~sQ3_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f169,f48])).
% 0.14/0.77 fof(f180,plain,(
% 0.14/0.77 ~sK3_skl=sK4_skl|~sQ3_spl|sQ0_spl),
% 0.14/0.77 inference(backward_demodulation,[status(thm)],[f172,f74])).
% 0.14/0.77 fof(f183,plain,(
% 0.14/0.77 member(sK3_skl,singleton(sK4_skl))|~sQ3_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f172,f170])).
% 0.14/0.77 fof(f184,plain,(
% 0.14/0.77 sK3_skl=sK4_skl|~sQ3_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f183,f48])).
% 0.14/0.77 fof(f185,plain,(
% 0.14/0.77 $false|sQ0_spl|~sQ3_spl),
% 0.14/0.77 inference(forward_subsumption_resolution,[status(thm)],[f184,f180])).
% 0.14/0.77 fof(f186,plain,(
% 0.14/0.77 sQ0_spl|~sQ3_spl),
% 0.14/0.77 inference(contradiction_clause,[status(thm)],[f185])).
% 0.14/0.77 fof(f188,plain,(
% 0.14/0.77 ~singleton(sK3_skl)=unordered_pair(sK3_skl,sK4_skl)|~sQ0_spl|sQ3_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f73,f102])).
% 0.14/0.77 fof(f264,plain,(
% 0.14/0.77 member(unordered_pair(sK3_skl,sK6_skl),unordered_pair(singleton(sK3_skl),unordered_pair(sK3_skl,sK4_skl)))|~sQ0_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f73,f94])).
% 0.14/0.77 fof(f265,plain,(
% 0.14/0.77 unordered_pair(sK3_skl,sK6_skl)=singleton(sK3_skl)|unordered_pair(sK3_skl,sK6_skl)=unordered_pair(sK3_skl,sK4_skl)|~sQ0_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f264,f52])).
% 0.14/0.77 fof(f266,definition,(
% 0.14/0.77 sQ5_spl <=> (unordered_pair(sK3_skl,sK6_skl)=singleton(sK3_skl))),
% 0.14/0.77 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.14/0.77 fof(f267,plain,(
% 0.14/0.77 unordered_pair(sK3_skl,sK6_skl)=singleton(sK3_skl)|~sQ5_spl),
% 0.14/0.77 inference(component_clause,[status(thm)],[f266])).
% 0.14/0.77 fof(f269,definition,(
% 0.14/0.77 sQ6_spl <=> (unordered_pair(sK3_skl,sK6_skl)=unordered_pair(sK3_skl,sK4_skl))),
% 0.14/0.77 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.14/0.77 fof(f270,plain,(
% 0.14/0.77 unordered_pair(sK3_skl,sK6_skl)=unordered_pair(sK3_skl,sK4_skl)|~sQ6_spl),
% 0.14/0.77 inference(component_clause,[status(thm)],[f269])).
% 0.14/0.77 fof(f272,plain,(
% 0.14/0.77 sQ5_spl|sQ6_spl|~sQ0_spl),
% 0.14/0.77 inference(split_clause,[status(thm)],[f265,f266,f269,f72])).
% 0.14/0.77 fof(f294,plain,(
% 0.14/0.77 member(sK6_skl,singleton(sK4_skl))|~sQ4_spl),
% 0.14/0.77 inference(paramodulation,[status(thm)],[f166,f81])).
% 0.14/0.77 fof(f299,plain,(
% 0.14/0.77 sK6_skl=sK4_skl|~sQ4_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f294,f48])).
% 0.14/0.77 fof(f300,plain,(
% 0.14/0.77 $false|sQ1_spl|~sQ4_spl),
% 0.14/0.77 inference(forward_subsumption_resolution,[status(thm)],[f299,f77])).
% 0.14/0.77 fof(f301,plain,(
% 0.14/0.77 sQ1_spl|~sQ4_spl),
% 0.14/0.77 inference(contradiction_clause,[status(thm)],[f300])).
% 0.14/0.77 fof(f303,plain,(
% 0.14/0.77 member(sK6_skl,singleton(sK3_skl))|~sQ5_spl),
% 0.14/0.77 inference(paramodulation,[status(thm)],[f267,f81])).
% 0.14/0.77 fof(f308,plain,(
% 0.14/0.77 sK6_skl=sK3_skl|~sQ5_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f303,f48])).
% 0.14/0.77 fof(f310,plain,(
% 0.14/0.77 unordered_pair(sK3_skl,sK6_skl)=singleton(sK6_skl)|~sQ5_spl),
% 0.14/0.77 inference(backward_demodulation,[status(thm)],[f308,f267])).
% 0.14/0.77 fof(f311,plain,(
% 0.14/0.77 sK6_skl=sK5_skl|~sQ5_spl|~sQ0_spl),
% 0.14/0.77 inference(backward_demodulation,[status(thm)],[f308,f73])).
% 0.14/0.77 fof(f312,plain,(
% 0.14/0.77 unordered_pair(sK6_skl,sK6_skl)=singleton(sK6_skl)|~sQ5_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f308,f310])).
% 0.14/0.77 fof(f313,plain,(
% 0.14/0.77 ~singleton(sK6_skl)=unordered_pair(sK3_skl,sK4_skl)|~sQ5_spl|~sQ0_spl|sQ3_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f308,f188])).
% 0.14/0.77 fof(f314,plain,(
% 0.14/0.77 ~singleton(sK6_skl)=unordered_pair(sK6_skl,sK4_skl)|~sQ5_spl|~sQ0_spl|sQ3_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f308,f313])).
% 0.14/0.77 fof(f476,plain,(
% 0.14/0.77 ![X0]: (~member(X0,unordered_pair(singleton(sK6_skl),unordered_pair(sK3_skl,sK4_skl)))|X0=singleton(sK3_skl)|X0=unordered_pair(sK5_skl,sK6_skl)|~sQ5_spl|~sQ2_spl)),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f308,f112])).
% 0.14/0.77 fof(f477,plain,(
% 0.14/0.77 ![X0]: (~member(X0,unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl)))|X0=singleton(sK3_skl)|X0=unordered_pair(sK5_skl,sK6_skl)|~sQ5_spl|~sQ2_spl)),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f308,f476])).
% 0.14/0.77 fof(f478,plain,(
% 0.14/0.77 ![X0]: (~member(X0,unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl)))|X0=singleton(sK6_skl)|X0=unordered_pair(sK5_skl,sK6_skl)|~sQ5_spl|~sQ2_spl)),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f308,f477])).
% 0.14/0.77 fof(f479,plain,(
% 0.14/0.77 ![X0]: (~member(X0,unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl)))|X0=singleton(sK6_skl)|X0=unordered_pair(sK6_skl,sK6_skl)|~sQ0_spl|~sQ5_spl|~sQ2_spl)),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f311,f478])).
% 0.14/0.77 fof(f480,plain,(
% 0.14/0.77 ![X0]: (~member(X0,unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl)))|X0=singleton(sK6_skl)|X0=singleton(sK6_skl)|~sQ0_spl|~sQ5_spl|~sQ2_spl)),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f312,f479])).
% 0.14/0.77 fof(f481,plain,(
% 0.14/0.77 ![X0]: (~member(X0,unordered_pair(singleton(sK6_skl),unordered_pair(sK6_skl,sK4_skl)))|X0=singleton(sK6_skl)|~sQ0_spl|~sQ5_spl|~sQ2_spl)),
% 0.14/0.77 inference(duplicate_literals_removal,[status(thm)],[f480])).
% 0.14/0.77 fof(f491,plain,(
% 0.14/0.77 unordered_pair(sK6_skl,sK4_skl)=singleton(sK6_skl)|~sQ0_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f481,f81])).
% 0.14/0.77 fof(f493,plain,(
% 0.14/0.77 $false|sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.77 inference(forward_subsumption_resolution,[status(thm)],[f491,f314])).
% 0.14/0.77 fof(f494,plain,(
% 0.14/0.77 sQ3_spl|~sQ0_spl|~sQ5_spl|~sQ2_spl),
% 0.14/0.77 inference(contradiction_clause,[status(thm)],[f493])).
% 0.14/0.77 fof(f501,plain,(
% 0.14/0.77 member(sK6_skl,unordered_pair(sK3_skl,sK4_skl))|~sQ6_spl),
% 0.14/0.77 inference(paramodulation,[status(thm)],[f270,f81])).
% 0.14/0.77 fof(f508,plain,(
% 0.14/0.77 sK6_skl=sK3_skl|sK6_skl=sK4_skl|~sQ6_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f501,f52])).
% 0.14/0.77 fof(f509,definition,(
% 0.14/0.77 sQ7_spl <=> (sK6_skl=sK3_skl)),
% 0.14/0.77 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.14/0.77 fof(f510,plain,(
% 0.14/0.77 sK6_skl=sK3_skl|~sQ7_spl),
% 0.14/0.77 inference(component_clause,[status(thm)],[f509])).
% 0.14/0.77 fof(f512,plain,(
% 0.14/0.77 sQ7_spl|sQ1_spl|~sQ6_spl),
% 0.14/0.77 inference(split_clause,[status(thm)],[f508,f509,f75,f269])).
% 0.14/0.77 fof(f514,plain,(
% 0.14/0.77 unordered_pair(sK3_skl,sK6_skl)=unordered_pair(sK6_skl,sK4_skl)|~sQ7_spl|~sQ6_spl),
% 0.14/0.77 inference(backward_demodulation,[status(thm)],[f510,f270])).
% 0.14/0.77 fof(f517,plain,(
% 0.14/0.77 unordered_pair(sK6_skl,sK6_skl)=unordered_pair(sK6_skl,sK4_skl)|~sQ7_spl|~sQ6_spl),
% 0.14/0.77 inference(forward_demodulation,[status(thm)],[f510,f514])).
% 0.14/0.77 fof(f523,plain,(
% 0.14/0.77 ![X0]: (~member(X0,unordered_pair(sK6_skl,sK4_skl))|X0=sK6_skl|X0=sK6_skl|~sQ7_spl|~sQ6_spl)),
% 0.14/0.77 inference(paramodulation,[status(thm)],[f517,f52])).
% 0.14/0.77 fof(f530,plain,(
% 0.14/0.77 ![X0]: (~member(X0,unordered_pair(sK6_skl,sK4_skl))|X0=sK6_skl|~sQ7_spl|~sQ6_spl)),
% 0.14/0.77 inference(duplicate_literals_removal,[status(thm)],[f523])).
% 0.14/0.77 fof(f540,plain,(
% 0.14/0.77 sK4_skl=sK6_skl|~sQ7_spl|~sQ6_spl),
% 0.14/0.77 inference(resolution,[status(thm)],[f530,f81])).
% 0.14/0.77 fof(f542,plain,(
% 0.14/0.77 $false|sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.77 inference(forward_subsumption_resolution,[status(thm)],[f540,f77])).
% 0.14/0.77 fof(f543,plain,(
% 0.14/0.77 sQ1_spl|~sQ7_spl|~sQ6_spl),
% 0.14/0.77 inference(contradiction_clause,[status(thm)],[f542])).
% 0.14/0.77 fof(f544,plain,(
% 0.14/0.77 $false),
% 0.14/0.77 inference(sat_refutation,[status(thm)],[f78,f103,f115,f168,f186,f272,f301,f494,f512,f543])).
% 0.14/0.77 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.79 % Elapsed time: 0.234058 seconds
% 0.14/0.79 % CPU time: 1.596544 seconds
% 0.14/0.79 % Total memory used: 107.944 MB
% 0.14/0.79 % Net memory used: 105.152 MB
%------------------------------------------------------------------------------