%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET931+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 02:12:53 PM UTC 2026
% Result : Theorem 0.18s 0.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET931+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n026.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Mon Sep 21 05:46:36 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.18/0.48 % Drodi V4.1.1
% 0.18/0.49 % Refutation found
% 0.18/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% 0.18/0.49 fof(f1,axiom,(
% 0.18/0.49 (! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) )),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f3,axiom,(
% 0.18/0.49 (! [A,B,C] :( subset(A,unordered_pair(B,C))<=> ~ ( A != empty_set& A != singleton(B)& A != singleton(C)& A != unordered_pair(B,C) ) ) )),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f6,axiom,(
% 0.18/0.49 (! [A,B] : subset(A,A) )),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f7,axiom,(
% 0.18/0.49 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f8,conjecture,(
% 0.18/0.49 (! [A,B,C] :( set_difference(A,unordered_pair(B,C)) = empty_set<=> ~ ( A != empty_set& A != singleton(B)& A != singleton(C)& A != unordered_pair(B,C) ) ) )),
% 0.18/0.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.18/0.49 fof(f9,negated_conjecture,(
% 0.18/0.49 ~((! [A,B,C] :( set_difference(A,unordered_pair(B,C)) = empty_set<=> ~ ( A != empty_set& A != singleton(B)& A != singleton(C)& A != unordered_pair(B,C) ) ) ))),
% 0.18/0.49 inference(negated_conjecture,[status(cth)],[f8])).
% 0.18/0.49 fof(f10,plain,(
% 0.18/0.49 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f1])).
% 0.18/0.49 fof(f12,plain,(
% 0.18/0.49 ![A,B,C]: (subset(A,unordered_pair(B,C))<=>(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C)))),
% 0.18/0.49 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.18/0.49 fof(f13,plain,(
% 0.18/0.49 ![A,B,C]: ((~subset(A,unordered_pair(B,C))|(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C)))&(subset(A,unordered_pair(B,C))|(((~A=empty_set&~A=singleton(B))&~A=singleton(C))&~A=unordered_pair(B,C))))),
% 0.18/0.49 inference(NNF_transformation,[status(thm)],[f12])).
% 0.18/0.49 fof(f14,plain,(
% 0.18/0.49 (![A,B,C]: (~subset(A,unordered_pair(B,C))|(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C))))&(![A,B,C]: (subset(A,unordered_pair(B,C))|(((~A=empty_set&~A=singleton(B))&~A=singleton(C))&~A=unordered_pair(B,C))))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f13])).
% 0.18/0.49 fof(f15,plain,(
% 0.18/0.49 ![X0,X1,X2]: (~subset(X0,unordered_pair(X1,X2))|X0=empty_set|X0=singleton(X1)|X0=singleton(X2)|X0=unordered_pair(X1,X2))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.18/0.49 fof(f16,plain,(
% 0.18/0.49 ![X0,X1,X2]: (subset(X0,unordered_pair(X1,X2))|~X0=empty_set)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.18/0.49 fof(f17,plain,(
% 0.18/0.49 ![X0,X1,X2]: (subset(X0,unordered_pair(X1,X2))|~X0=singleton(X1))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.18/0.49 fof(f18,plain,(
% 0.18/0.49 ![X0,X1,X2]: (subset(X0,unordered_pair(X1,X2))|~X0=singleton(X2))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f14])).
% 0.18/0.49 fof(f24,plain,(
% 0.18/0.49 ![A]: subset(A,A)),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f6])).
% 0.18/0.49 fof(f25,plain,(
% 0.18/0.49 ![X0]: (subset(X0,X0))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f24])).
% 0.18/0.49 fof(f26,plain,(
% 0.18/0.49 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.18/0.49 inference(NNF_transformation,[status(thm)],[f7])).
% 0.18/0.49 fof(f27,plain,(
% 0.18/0.49 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.18/0.49 inference(miniscoping,[status(thm)],[f26])).
% 0.18/0.49 fof(f28,plain,(
% 0.18/0.49 ![X0,X1]: (~set_difference(X0,X1)=empty_set|subset(X0,X1))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f27])).
% 0.18/0.49 fof(f29,plain,(
% 0.18/0.49 ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f27])).
% 0.18/0.49 fof(f30,plain,(
% 0.18/0.49 (?[A,B,C]: (set_difference(A,unordered_pair(B,C))=empty_set<~>(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C))))),
% 0.18/0.49 inference(pre_NNF_transformation,[status(thm)],[f9])).
% 0.18/0.49 fof(f31,plain,(
% 0.18/0.49 ?[A,B,C]: ((set_difference(A,unordered_pair(B,C))=empty_set|(((A=empty_set|A=singleton(B))|A=singleton(C))|A=unordered_pair(B,C)))&(~set_difference(A,unordered_pair(B,C))=empty_set|(((~A=empty_set&~A=singleton(B))&~A=singleton(C))&~A=unordered_pair(B,C))))),
% 0.18/0.49 inference(NNF_transformation,[status(thm)],[f30])).
% 0.18/0.49 fof(f32,plain,(
% 0.18/0.49 ((set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set|(((sK2_skl=empty_set|sK2_skl=singleton(sK3_skl))|sK2_skl=singleton(sK4_skl))|sK2_skl=unordered_pair(sK3_skl,sK4_skl)))&(~set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set|(((~sK2_skl=empty_set&~sK2_skl=singleton(sK3_skl))&~sK2_skl=singleton(sK4_skl))&~sK2_skl=unordered_pair(sK3_skl,sK4_skl))))),
% 0.18/0.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(A,sK2_skl),skolemize(B,sK3_skl),skolemize(C,sK4_skl)],[f31])).
% 0.18/0.49 fof(f33,plain,(
% 0.18/0.49 set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set|sK2_skl=empty_set|sK2_skl=singleton(sK3_skl)|sK2_skl=singleton(sK4_skl)|sK2_skl=unordered_pair(sK3_skl,sK4_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.49 fof(f34,plain,(
% 0.18/0.49 ~set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set|~sK2_skl=empty_set),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.49 fof(f35,plain,(
% 0.18/0.49 ~set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set|~sK2_skl=singleton(sK3_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.49 fof(f36,plain,(
% 0.18/0.49 ~set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set|~sK2_skl=singleton(sK4_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.49 fof(f37,plain,(
% 0.18/0.49 ~set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set|~sK2_skl=unordered_pair(sK3_skl,sK4_skl)),
% 0.18/0.49 inference(cnf_transformation,[status(thm)],[f32])).
% 0.18/0.49 fof(f38,definition,(
% 0.18/0.49 sQ0_spl <=> (set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set)),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f39,plain,(
% 0.18/0.49 set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set|~sQ0_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f38])).
% 0.18/0.49 fof(f40,plain,(
% 0.18/0.49 ~set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=empty_set|sQ0_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f38])).
% 0.18/0.49 fof(f41,definition,(
% 0.18/0.49 sQ1_spl <=> (sK2_skl=empty_set)),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f42,plain,(
% 0.18/0.49 sK2_skl=empty_set|~sQ1_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f41])).
% 0.18/0.49 fof(f44,definition,(
% 0.18/0.49 sQ2_spl <=> (sK2_skl=singleton(sK3_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f45,plain,(
% 0.18/0.49 sK2_skl=singleton(sK3_skl)|~sQ2_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f44])).
% 0.18/0.49 fof(f47,definition,(
% 0.18/0.49 sQ3_spl <=> (sK2_skl=singleton(sK4_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f48,plain,(
% 0.18/0.49 sK2_skl=singleton(sK4_skl)|~sQ3_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f47])).
% 0.18/0.49 fof(f50,definition,(
% 0.18/0.49 sQ4_spl <=> (sK2_skl=unordered_pair(sK3_skl,sK4_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f51,plain,(
% 0.18/0.49 sK2_skl=unordered_pair(sK3_skl,sK4_skl)|~sQ4_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f50])).
% 0.18/0.49 fof(f53,plain,(
% 0.18/0.49 sQ0_spl|sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f33,f38,f41,f44,f47,f50])).
% 0.18/0.49 fof(f54,plain,(
% 0.18/0.49 ~sQ0_spl|~sQ1_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f34,f38,f41])).
% 0.18/0.49 fof(f55,plain,(
% 0.18/0.49 ~sQ0_spl|~sQ2_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f35,f38,f44])).
% 0.18/0.49 fof(f56,plain,(
% 0.18/0.49 ~sQ0_spl|~sQ3_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f36,f38,f47])).
% 0.18/0.49 fof(f57,plain,(
% 0.18/0.49 ~sQ0_spl|~sQ4_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f37,f38,f50])).
% 0.18/0.49 fof(f58,plain,(
% 0.18/0.49 ![X0,X1]: (subset(empty_set,unordered_pair(X0,X1)))),
% 0.18/0.49 inference(destructive_equality_resolution,[status(thm)],[f16])).
% 0.18/0.49 fof(f59,plain,(
% 0.18/0.49 ![X0,X1]: (subset(singleton(X0),unordered_pair(X0,X1)))),
% 0.18/0.49 inference(destructive_equality_resolution,[status(thm)],[f17])).
% 0.18/0.49 fof(f60,plain,(
% 0.18/0.49 ![X0,X1]: (subset(singleton(X0),unordered_pair(X1,X0)))),
% 0.18/0.49 inference(destructive_equality_resolution,[status(thm)],[f18])).
% 0.18/0.49 fof(f62,plain,(
% 0.18/0.49 ~set_difference(sK2_skl,sK2_skl)=empty_set|~sQ4_spl|sQ0_spl),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f51,f40])).
% 0.18/0.49 fof(f72,plain,(
% 0.18/0.49 subset(singleton(sK3_skl),sK2_skl)|~sQ4_spl),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f51,f59])).
% 0.18/0.49 fof(f79,plain,(
% 0.18/0.49 set_difference(singleton(sK3_skl),sK2_skl)=empty_set|~sQ4_spl),
% 0.18/0.49 inference(resolution,[status(thm)],[f29,f72])).
% 0.18/0.49 fof(f81,plain,(
% 0.18/0.49 ![X0,X1]: (set_difference(singleton(X0),unordered_pair(X1,X0))=empty_set)),
% 0.18/0.49 inference(resolution,[status(thm)],[f29,f60])).
% 0.18/0.49 fof(f82,plain,(
% 0.18/0.49 ![X0,X1]: (set_difference(singleton(X0),unordered_pair(X0,X1))=empty_set)),
% 0.18/0.49 inference(resolution,[status(thm)],[f29,f59])).
% 0.18/0.49 fof(f84,plain,(
% 0.18/0.49 ~empty_set=empty_set|subset(singleton(sK3_skl),sK2_skl)|~sQ4_spl),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f79,f28])).
% 0.18/0.49 fof(f85,definition,(
% 0.18/0.49 sQ5_spl <=> (empty_set=empty_set)),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f87,plain,(
% 0.18/0.49 ~empty_set=empty_set|sQ5_spl),
% 0.18/0.49 inference(component_clause,[status(thm)],[f85])).
% 0.18/0.49 fof(f88,definition,(
% 0.18/0.49 sQ6_spl <=> (subset(singleton(sK3_skl),sK2_skl))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f91,plain,(
% 0.18/0.49 ~sQ5_spl|sQ6_spl|~sQ4_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f84,f85,f88,f50])).
% 0.18/0.49 fof(f92,plain,(
% 0.18/0.49 $false|sQ5_spl),
% 0.18/0.49 inference(trivial_equality_resolution,[status(thm)],[f87])).
% 0.18/0.49 fof(f93,plain,(
% 0.18/0.49 sQ5_spl),
% 0.18/0.49 inference(contradiction_clause,[status(thm)],[f92])).
% 0.18/0.49 fof(f98,plain,(
% 0.18/0.49 ~set_difference(sK2_skl,unordered_pair(sK4_skl,sK3_skl))=empty_set|sQ0_spl),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f10,f40])).
% 0.18/0.49 fof(f101,plain,(
% 0.18/0.49 ![X0]: (set_difference(X0,X0)=empty_set)),
% 0.18/0.49 inference(resolution,[status(thm)],[f25,f29])).
% 0.18/0.49 fof(f102,plain,(
% 0.18/0.49 ![X0]: (subset(sK2_skl,unordered_pair(X0,sK4_skl))|~sQ3_spl)),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f48,f60])).
% 0.18/0.49 fof(f105,plain,(
% 0.18/0.49 ![X0]: (~empty_set=empty_set|subset(X0,X0))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f101,f28])).
% 0.18/0.49 fof(f106,definition,(
% 0.18/0.49 ![X0]: (sQ7_spl <=> (subset(X0,X0)))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f109,plain,(
% 0.18/0.49 ~sQ5_spl|sQ7_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f105,f85,f106])).
% 0.18/0.49 fof(f111,plain,(
% 0.18/0.49 ![X0,X1]: (set_difference(empty_set,unordered_pair(X0,X1))=empty_set)),
% 0.18/0.49 inference(resolution,[status(thm)],[f58,f29])).
% 0.18/0.49 fof(f122,plain,(
% 0.18/0.49 ![X0]: (set_difference(sK2_skl,unordered_pair(X0,sK4_skl))=empty_set|~sQ3_spl)),
% 0.18/0.49 inference(resolution,[status(thm)],[f102,f29])).
% 0.18/0.49 fof(f141,plain,(
% 0.18/0.49 ![X0,X1]: (~empty_set=empty_set|subset(singleton(X0),unordered_pair(X1,X0)))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f81,f28])).
% 0.18/0.49 fof(f142,definition,(
% 0.18/0.49 ![X0,X1]: (sQ11_spl <=> (subset(singleton(X0),unordered_pair(X1,X0))))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f145,plain,(
% 0.18/0.49 ~sQ5_spl|sQ11_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f141,f85,f142])).
% 0.18/0.49 fof(f152,plain,(
% 0.18/0.49 ![X0,X1]: (~empty_set=empty_set|subset(singleton(X0),unordered_pair(X0,X1)))),
% 0.18/0.49 inference(paramodulation,[status(thm)],[f82,f28])).
% 0.18/0.49 fof(f153,definition,(
% 0.18/0.49 ![X0,X1]: (sQ12_spl <=> (subset(singleton(X0),unordered_pair(X0,X1))))),
% 0.18/0.49 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.18/0.49 fof(f156,plain,(
% 0.18/0.49 ~sQ5_spl|sQ12_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f152,f85,f153])).
% 0.18/0.49 fof(f160,plain,(
% 0.18/0.49 ~empty_set=empty_set|~sQ3_spl|sQ0_spl),
% 0.18/0.49 inference(backward_demodulation,[status(thm)],[f122,f40])).
% 0.18/0.49 fof(f165,plain,(
% 0.18/0.49 ~sQ5_spl|~sQ3_spl|sQ0_spl),
% 0.18/0.49 inference(split_clause,[status(thm)],[f160,f85,f47,f38])).
% 0.18/0.49 fof(f179,plain,(
% 0.18/0.49 ~set_difference(sK2_skl,unordered_pair(sK3_skl,sK4_skl))=sK2_skl|~sQ1_spl|sQ0_spl),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f42,f40])).
% 0.18/0.49 fof(f184,plain,(
% 0.18/0.49 ![X0,X1]: (set_difference(sK2_skl,unordered_pair(X0,X1))=empty_set|~sQ1_spl)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f42,f111])).
% 0.18/0.49 fof(f185,plain,(
% 0.18/0.49 ~sK2_skl=sK2_skl|~sQ1_spl|sQ0_spl),
% 0.18/0.49 inference(backward_demodulation,[status(thm)],[f186,f179])).
% 0.18/0.49 fof(f186,plain,(
% 0.18/0.49 ![X0,X1]: (set_difference(sK2_skl,unordered_pair(X0,X1))=sK2_skl|~sQ1_spl)),
% 0.18/0.49 inference(forward_demodulation,[status(thm)],[f42,f184])).
% 0.18/0.50 fof(f189,plain,(
% 0.18/0.50 $false|~sQ1_spl|sQ0_spl),
% 0.18/0.50 inference(trivial_equality_resolution,[status(thm)],[f185])).
% 0.18/0.50 fof(f190,plain,(
% 0.18/0.50 ~sQ1_spl|sQ0_spl),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f189])).
% 0.18/0.50 fof(f197,plain,(
% 0.18/0.50 ~empty_set=empty_set|~sQ4_spl|sQ0_spl),
% 0.18/0.50 inference(forward_demodulation,[status(thm)],[f101,f62])).
% 0.18/0.50 fof(f198,plain,(
% 0.18/0.50 $false|~sQ4_spl|sQ0_spl),
% 0.18/0.50 inference(trivial_equality_resolution,[status(thm)],[f197])).
% 0.18/0.50 fof(f199,plain,(
% 0.18/0.50 ~sQ4_spl|sQ0_spl),
% 0.18/0.50 inference(contradiction_clause,[status(thm)],[f198])).
% 0.18/0.50 fof(f219,plain,(
% 0.18/0.50 ![X0,X1]: (~empty_set=empty_set|subset(empty_set,unordered_pair(X0,X1)))),
% 0.18/0.50 inference(paramodulation,[status(thm)],[f111,f28])).
% 0.18/0.50 fof(f221,definition,(
% 0.18/0.50 ![X0,X1]: (sQ14_spl <=> (subset(empty_set,unordered_pair(X0,X1))))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f224,plain,(
% 0.18/0.50 ~sQ5_spl|sQ14_spl),
% 0.18/0.50 inference(split_clause,[status(thm)],[f219,f85,f221])).
% 0.18/0.50 fof(f241,plain,(
% 0.18/0.50 ~empty_set=empty_set|subset(sK2_skl,unordered_pair(sK3_skl,sK4_skl))|~sQ0_spl),
% 0.18/0.50 inference(paramodulation,[status(thm)],[f39,f28])).
% 0.18/0.50 fof(f242,definition,(
% 0.18/0.50 sQ15_spl <=> (subset(sK2_skl,unordered_pair(sK3_skl,sK4_skl)))),
% 0.18/0.50 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.18/0.50 fof(f243,plain,(
% 0.18/0.50 subset(sK2_skl,unordered_pair(sK3_skl,sK4_skl))|~sQ15_spl),
% 0.18/0.50 inference(component_clause,[status(thm)],[f242])).
% 0.18/0.50 fof(f245,plain,(
% 0.18/0.50 ~sQ5_spl|sQ15_spl|~sQ0_spl),
% 0.18/0.50 inference(split_clause,[status(thm)],[f241,f85,f242,f38])).
% 0.18/0.50 fof(f248,plain,(
% 0.18/0.50 ![X0]: (set_difference(sK2_skl,unordered_pair(X0,sK3_skl))=empty_set|~sQ2_spl)),
% 0.18/0.50 inference(paramodulation,[status(thm)],[f45,f81])).
% 0.18/0.50 fof(f268,plain,(
% 0.18/0.50 ~empty_set=empty_set|~sQ2_spl|sQ0_spl),
% 0.18/0.50 inference(backward_demodulation,[status(thm)],[f248,f98])).
% 0.18/0.50 fof(f273,plain,(
% 0.18/0.50 ~sQ5_spl|~sQ2_spl|sQ0_spl),
% 0.18/0.50 inference(split_clause,[status(thm)],[f268,f85,f44,f38])).
% 0.18/0.50 fof(f278,plain,(
% 0.18/0.50 sK2_skl=empty_set|sK2_skl=singleton(sK3_skl)|sK2_skl=singleton(sK4_skl)|sK2_skl=unordered_pair(sK3_skl,sK4_skl)|~sQ15_spl),
% 0.18/0.50 inference(resolution,[status(thm)],[f243,f15])).
% 0.18/0.50 fof(f282,plain,(
% 0.18/0.50 sQ1_spl|sQ2_spl|sQ3_spl|sQ4_spl|~sQ15_spl),
% 0.18/0.50 inference(split_clause,[status(thm)],[f278,f41,f44,f47,f50,f242])).
% 0.18/0.50 fof(f283,plain,(
% 0.18/0.50 $false),
% 0.18/0.50 inference(sat_refutation,[status(thm)],[f53,f54,f55,f56,f57,f91,f93,f109,f145,f156,f165,f190,f199,f224,f245,f273,f282])).
% 0.18/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.18/0.56 % Elapsed time: 0.099345 seconds
% 0.18/0.56 % CPU time: 0.111092 seconds
% 0.18/0.56 % Total memory used: 6.557 MB
% 0.18/0.56 % Net memory used: 6.547 MB
%------------------------------------------------------------------------------