%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU291+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 : n003.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 02:22:14 PM UTC 2026
% Result : Theorem 0.16s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU291+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
% 0.11/0.54 % Computer : n003.cluster.edu
% 0.11/0.54 % Model : x86_64 x86_64
% 0.11/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.54 % Memory : 8046.5625MB
% 0.11/0.54 % OS : Linux 6.8.0-71-generic
% 0.11/0.54 % CPULimit : 300
% 0.11/0.54 % WCLimit : 300
% 0.11/0.54 % DateTime : Mon Sep 21 06:09:31 UTC 2026
% 0.11/0.54 % CPUTime :
% 0.11/0.55 % Drodi V4.1.1
% 0.16/0.60 % Refutation found
% 0.16/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.60 fof(f2,axiom,(
% 0.16/0.60 (! [A] :( empty(A)=> function(A) ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f3,axiom,(
% 0.16/0.60 (! [A] :( empty(A)=> relation(A) ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f5,axiom,(
% 0.16/0.60 (! [A] :( ( relation(A)& empty(A)& function(A) )=> ( relation(A)& function(A)& one_to_one(A) ) ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f6,axiom,(
% 0.16/0.60 (! [A,B,C] :( relation_of2_as_subset(C,A,B)=> ( ( ( B = empty_set=> A = empty_set )=> ( quasi_total(C,A,B)<=> A = relation_dom_as_subset(A,B,C) ) )& ( B = empty_set=> ( A = empty_set| ( quasi_total(C,A,B)<=> C = empty_set ) ) ) ) ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f18,axiom,(
% 0.16/0.60 ( empty(empty_set)& relation(empty_set)& relation_empty_yielding(empty_set) ) ),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f39,axiom,(
% 0.16/0.60 (! [A,B,C] :( relation_of2(C,A,B)=> relation_dom_as_subset(A,B,C) = relation_dom(C) ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f40,axiom,(
% 0.16/0.60 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f42,axiom,(
% 0.16/0.60 (! [A,B,C,D] :( relation_of2_as_subset(D,C,A)=> ( subset(A,B)=> relation_of2_as_subset(D,C,B) ) ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f46,axiom,(
% 0.16/0.60 (! [A] :( subset(A,empty_set)=> A = empty_set ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f52,conjecture,(
% 0.16/0.60 (! [A,B,C,D] :( ( function(D)& quasi_total(D,A,B)& relation_of2_as_subset(D,A,B) )=> ( subset(B,C)=> ( ( B = empty_set& A != empty_set )| ( function(D)& quasi_total(D,A,C)& relation_of2_as_subset(D,A,C) ) ) ) ) )),
% 0.16/0.60 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.60 fof(f53,negated_conjecture,(
% 0.16/0.60 ~((! [A,B,C,D] :( ( function(D)& quasi_total(D,A,B)& relation_of2_as_subset(D,A,B) )=> ( subset(B,C)=> ( ( B = empty_set& A != empty_set )| ( function(D)& quasi_total(D,A,C)& relation_of2_as_subset(D,A,C) ) ) ) ) ))),
% 0.16/0.60 inference(negated_conjecture,[status(cth)],[f52])).
% 0.16/0.60 fof(f56,plain,(
% 0.16/0.60 ![A]: (~empty(A)|function(A))),
% 0.16/0.60 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.16/0.60 fof(f57,plain,(
% 0.16/0.60 ![X0]: (~empty(X0)|function(X0))),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f56])).
% 0.16/0.60 fof(f58,plain,(
% 0.16/0.60 ![A]: (~empty(A)|relation(A))),
% 0.16/0.60 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.16/0.60 fof(f59,plain,(
% 0.16/0.60 ![X0]: (~empty(X0)|relation(X0))),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f58])).
% 0.16/0.60 fof(f63,plain,(
% 0.16/0.60 ![A]: (((~relation(A)|~empty(A))|~function(A))|((relation(A)&function(A))&one_to_one(A)))),
% 0.16/0.60 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.16/0.60 fof(f66,plain,(
% 0.16/0.60 ![X0]: (~relation(X0)|~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f63])).
% 0.16/0.60 fof(f67,plain,(
% 0.16/0.60 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|(((B=empty_set&~A=empty_set)|(quasi_total(C,A,B)<=>A=relation_dom_as_subset(A,B,C)))&(~B=empty_set|(A=empty_set|(quasi_total(C,A,B)<=>C=empty_set)))))),
% 0.16/0.60 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.16/0.60 fof(f68,definition,(
% 0.16/0.60 ![A,B]: (sP0_prd(B,A)<=>(B=empty_set&~A=empty_set))),
% 0.16/0.60 introduced(definition,[new_symbols(definition,[sP0_prd])],[])).
% 0.16/0.60 fof(f69,plain,(
% 0.16/0.60 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|((sP0_prd(B,A)|(quasi_total(C,A,B)<=>A=relation_dom_as_subset(A,B,C)))&(~B=empty_set|(A=empty_set|(quasi_total(C,A,B)<=>C=empty_set)))))),
% 0.16/0.60 inference(formula_renaming,[status(thm)],[f67,f68])).
% 0.16/0.60 fof(f70,plain,(
% 0.16/0.60 ![A,B,C]: (~relation_of2_as_subset(C,A,B)|((sP0_prd(B,A)|((~quasi_total(C,A,B)|A=relation_dom_as_subset(A,B,C))&(quasi_total(C,A,B)|~A=relation_dom_as_subset(A,B,C))))&(~B=empty_set|(A=empty_set|((~quasi_total(C,A,B)|C=empty_set)&(quasi_total(C,A,B)|~C=empty_set))))))),
% 0.16/0.60 inference(NNF_transformation,[status(thm)],[f69])).
% 0.16/0.60 fof(f71,plain,(
% 0.16/0.60 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|sP0_prd(X2,X1)|~quasi_total(X0,X1,X2)|X1=relation_dom_as_subset(X1,X2,X0))),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/0.60 fof(f72,plain,(
% 0.16/0.60 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|sP0_prd(X2,X1)|quasi_total(X0,X1,X2)|~X1=relation_dom_as_subset(X1,X2,X0))),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f70])).
% 0.16/0.60 fof(f85,plain,(
% 0.16/0.60 empty(empty_set)),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f18])).
% 0.16/0.60 fof(f148,plain,(
% 0.16/0.60 ![A,B,C]: (~relation_of2(C,A,B)|relation_dom_as_subset(A,B,C)=relation_dom(C))),
% 0.16/0.60 inference(pre_NNF_transformation,[status(thm)],[f39])).
% 0.16/0.60 fof(f149,plain,(
% 0.16/0.60 ![X0,X1,X2]: (~relation_of2(X0,X1,X2)|relation_dom_as_subset(X1,X2,X0)=relation_dom(X0))),
% 0.16/0.60 inference(cnf_transformation,[status(thm)],[f148])).
% 0.16/0.60 fof(f150,plain,(
% 0.16/0.60 ![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)))),
% 0.16/0.60 inference(NNF_transformation,[status(thm)],[f40])).
% 0.16/0.60 fof(f151,plain,(
% 0.16/0.60 (![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)))),
% 0.16/0.61 inference(miniscoping,[status(thm)],[f150])).
% 0.16/0.61 fof(f152,plain,(
% 0.16/0.61 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f151])).
% 0.16/0.61 fof(f156,plain,(
% 0.16/0.61 ![A,B,C,D]: (~relation_of2_as_subset(D,C,A)|(~subset(A,B)|relation_of2_as_subset(D,C,B)))),
% 0.16/0.61 inference(pre_NNF_transformation,[status(thm)],[f42])).
% 0.16/0.61 fof(f157,plain,(
% 0.16/0.61 ![A,C,D]: (~relation_of2_as_subset(D,C,A)|(![B]: (~subset(A,B)|relation_of2_as_subset(D,C,B))))),
% 0.16/0.61 inference(miniscoping,[status(thm)],[f156])).
% 0.16/0.61 fof(f158,plain,(
% 0.16/0.61 ![X0,X1,X2,X3]: (~relation_of2_as_subset(X0,X1,X2)|~subset(X2,X3)|relation_of2_as_subset(X0,X1,X3))),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f157])).
% 0.16/0.61 fof(f167,plain,(
% 0.16/0.61 ![A]: (~subset(A,empty_set)|A=empty_set)),
% 0.16/0.61 inference(pre_NNF_transformation,[status(thm)],[f46])).
% 0.16/0.61 fof(f168,plain,(
% 0.16/0.61 ![X0]: (~subset(X0,empty_set)|X0=empty_set)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f167])).
% 0.16/0.61 fof(f183,plain,(
% 0.16/0.61 (?[A,B,C,D]: (((function(D)&quasi_total(D,A,B))&relation_of2_as_subset(D,A,B))&(subset(B,C)&((~B=empty_set|A=empty_set)&((~function(D)|~quasi_total(D,A,C))|~relation_of2_as_subset(D,A,C))))))),
% 0.16/0.61 inference(pre_NNF_transformation,[status(thm)],[f53])).
% 0.16/0.61 fof(f184,plain,(
% 0.16/0.61 ?[A,B,D]: (((function(D)&quasi_total(D,A,B))&relation_of2_as_subset(D,A,B))&(?[C]: (subset(B,C)&((~B=empty_set|A=empty_set)&((~function(D)|~quasi_total(D,A,C))|~relation_of2_as_subset(D,A,C))))))),
% 0.16/0.61 inference(miniscoping,[status(thm)],[f183])).
% 0.16/0.61 fof(f185,plain,(
% 0.16/0.61 (((function(sK19_skl)&quasi_total(sK19_skl,sK17_skl,sK18_skl))&relation_of2_as_subset(sK19_skl,sK17_skl,sK18_skl))&(subset(sK18_skl,sK20_skl)&((~sK18_skl=empty_set|sK17_skl=empty_set)&((~function(sK19_skl)|~quasi_total(sK19_skl,sK17_skl,sK20_skl))|~relation_of2_as_subset(sK19_skl,sK17_skl,sK20_skl)))))),
% 0.16/0.61 inference(skolemize,[status(esa),new_symbols(skolem,[sK17_skl,sK18_skl,sK19_skl,sK20_skl]),skolemize(A,sK17_skl),skolemize(B,sK18_skl),skolemize(D,sK19_skl),skolemize(C,sK20_skl)],[f184])).
% 0.16/0.61 fof(f186,plain,(
% 0.16/0.61 function(sK19_skl)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f185])).
% 0.16/0.61 fof(f187,plain,(
% 0.16/0.61 quasi_total(sK19_skl,sK17_skl,sK18_skl)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f185])).
% 0.16/0.61 fof(f188,plain,(
% 0.16/0.61 relation_of2_as_subset(sK19_skl,sK17_skl,sK18_skl)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f185])).
% 0.16/0.61 fof(f189,plain,(
% 0.16/0.61 subset(sK18_skl,sK20_skl)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f185])).
% 0.16/0.61 fof(f190,plain,(
% 0.16/0.61 ~sK18_skl=empty_set|sK17_skl=empty_set),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f185])).
% 0.16/0.61 fof(f191,plain,(
% 0.16/0.61 ~function(sK19_skl)|~quasi_total(sK19_skl,sK17_skl,sK20_skl)|~relation_of2_as_subset(sK19_skl,sK17_skl,sK20_skl)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f185])).
% 0.16/0.61 fof(f192,plain,(
% 0.16/0.61 ![A,B]: ((~sP0_prd(B,A)|(B=empty_set&~A=empty_set))&(sP0_prd(B,A)|(~B=empty_set|A=empty_set)))),
% 0.16/0.61 inference(NNF_transformation,[status(thm)],[f68])).
% 0.16/0.61 fof(f193,plain,(
% 0.16/0.61 (![A,B]: (~sP0_prd(B,A)|(B=empty_set&~A=empty_set)))&(![A,B]: (sP0_prd(B,A)|(~B=empty_set|A=empty_set)))),
% 0.16/0.61 inference(miniscoping,[status(thm)],[f192])).
% 0.16/0.61 fof(f194,plain,(
% 0.16/0.61 ![X0,X1]: (~sP0_prd(X0,X1)|X0=empty_set)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f193])).
% 0.16/0.61 fof(f195,plain,(
% 0.16/0.61 ![X0,X1]: (~sP0_prd(X0,X1)|~X1=empty_set)),
% 0.16/0.61 inference(cnf_transformation,[status(thm)],[f193])).
% 0.16/0.61 fof(f197,definition,(
% 0.16/0.61 sQ0_spl <=> (sK18_skl=empty_set)),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f199,plain,(
% 0.16/0.61 ~sK18_skl=empty_set|sQ0_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f197])).
% 0.16/0.61 fof(f200,definition,(
% 0.16/0.61 sQ1_spl <=> (sK17_skl=empty_set)),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f201,plain,(
% 0.16/0.61 sK17_skl=empty_set|~sQ1_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f200])).
% 0.16/0.61 fof(f203,plain,(
% 0.16/0.61 ~sQ0_spl|sQ1_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f190,f197,f200])).
% 0.16/0.61 fof(f204,definition,(
% 0.16/0.61 sQ2_spl <=> (function(sK19_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f206,plain,(
% 0.16/0.61 ~function(sK19_skl)|sQ2_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f204])).
% 0.16/0.61 fof(f207,definition,(
% 0.16/0.61 sQ3_spl <=> (quasi_total(sK19_skl,sK17_skl,sK20_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f209,plain,(
% 0.16/0.61 ~quasi_total(sK19_skl,sK17_skl,sK20_skl)|sQ3_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f207])).
% 0.16/0.61 fof(f210,definition,(
% 0.16/0.61 sQ4_spl <=> (relation_of2_as_subset(sK19_skl,sK17_skl,sK20_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f212,plain,(
% 0.16/0.61 ~relation_of2_as_subset(sK19_skl,sK17_skl,sK20_skl)|sQ4_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f210])).
% 0.16/0.61 fof(f213,plain,(
% 0.16/0.61 ~sQ2_spl|~sQ3_spl|~sQ4_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f191,f204,f207,f210])).
% 0.16/0.61 fof(f214,plain,(
% 0.16/0.61 ![X0]: (~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f66,f59])).
% 0.16/0.61 fof(f217,plain,(
% 0.16/0.61 ![X0]: (~sP0_prd(X0,empty_set))),
% 0.16/0.61 inference(destructive_equality_resolution,[status(thm)],[f195])).
% 0.16/0.61 fof(f225,plain,(
% 0.16/0.61 ![X0]: (~subset(sK18_skl,X0)|relation_of2_as_subset(sK19_skl,sK17_skl,X0))),
% 0.16/0.61 inference(resolution,[status(thm)],[f158,f188])).
% 0.16/0.61 fof(f226,plain,(
% 0.16/0.61 relation_of2_as_subset(sK19_skl,sK17_skl,sK20_skl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f225,f189])).
% 0.16/0.61 fof(f228,plain,(
% 0.16/0.61 $false|sQ4_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f226,f212])).
% 0.16/0.61 fof(f229,plain,(
% 0.16/0.61 sQ4_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f228])).
% 0.16/0.61 fof(f230,plain,(
% 0.16/0.61 $false|sQ2_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f206,f186])).
% 0.16/0.61 fof(f231,plain,(
% 0.16/0.61 sQ2_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f230])).
% 0.16/0.61 fof(f232,plain,(
% 0.16/0.61 function(empty_set)),
% 0.16/0.61 inference(resolution,[status(thm)],[f57,f85])).
% 0.16/0.61 fof(f241,plain,(
% 0.16/0.61 ~function(empty_set)|one_to_one(empty_set)),
% 0.16/0.61 inference(resolution,[status(thm)],[f214,f85])).
% 0.16/0.61 fof(f242,definition,(
% 0.16/0.61 sQ5_spl <=> (function(empty_set))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f244,plain,(
% 0.16/0.61 ~function(empty_set)|sQ5_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f242])).
% 0.16/0.61 fof(f245,definition,(
% 0.16/0.61 sQ6_spl <=> (one_to_one(empty_set))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f248,plain,(
% 0.16/0.61 ~sQ5_spl|sQ6_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f241,f242,f245])).
% 0.16/0.61 fof(f249,plain,(
% 0.16/0.61 $false|sQ5_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f244,f232])).
% 0.16/0.61 fof(f250,plain,(
% 0.16/0.61 sQ5_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f249])).
% 0.16/0.61 fof(f252,plain,(
% 0.16/0.61 sP0_prd(sK18_skl,sK17_skl)|~quasi_total(sK19_skl,sK17_skl,sK18_skl)|sK17_skl=relation_dom_as_subset(sK17_skl,sK18_skl,sK19_skl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f71,f188])).
% 0.16/0.61 fof(f253,definition,(
% 0.16/0.61 sQ7_spl <=> (sP0_prd(sK18_skl,sK17_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f254,plain,(
% 0.16/0.61 sP0_prd(sK18_skl,sK17_skl)|~sQ7_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f253])).
% 0.16/0.61 fof(f256,definition,(
% 0.16/0.61 sQ8_spl <=> (quasi_total(sK19_skl,sK17_skl,sK18_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f258,plain,(
% 0.16/0.61 ~quasi_total(sK19_skl,sK17_skl,sK18_skl)|sQ8_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f256])).
% 0.16/0.61 fof(f259,definition,(
% 0.16/0.61 sQ9_spl <=> (sK17_skl=relation_dom_as_subset(sK17_skl,sK18_skl,sK19_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f260,plain,(
% 0.16/0.61 sK17_skl=relation_dom_as_subset(sK17_skl,sK18_skl,sK19_skl)|~sQ9_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f259])).
% 0.16/0.61 fof(f262,plain,(
% 0.16/0.61 sQ7_spl|~sQ8_spl|sQ9_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f252,f253,f256,f259])).
% 0.16/0.61 fof(f265,definition,(
% 0.16/0.61 sQ10_spl <=> (sP0_prd(sK20_skl,sK17_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f266,plain,(
% 0.16/0.61 sP0_prd(sK20_skl,sK17_skl)|~sQ10_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f265])).
% 0.16/0.61 fof(f268,definition,(
% 0.16/0.61 sQ11_spl <=> (sK17_skl=relation_dom_as_subset(sK17_skl,sK20_skl,sK19_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f269,plain,(
% 0.16/0.61 sK17_skl=relation_dom_as_subset(sK17_skl,sK20_skl,sK19_skl)|~sQ11_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f268])).
% 0.16/0.61 fof(f270,plain,(
% 0.16/0.61 ~sK17_skl=relation_dom_as_subset(sK17_skl,sK20_skl,sK19_skl)|sQ11_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f268])).
% 0.16/0.61 fof(f272,plain,(
% 0.16/0.61 sK20_skl=empty_set|~sQ10_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f266,f194])).
% 0.16/0.61 fof(f276,plain,(
% 0.16/0.61 subset(sK18_skl,empty_set)|~sQ10_spl),
% 0.16/0.61 inference(backward_demodulation,[status(thm)],[f272,f189])).
% 0.16/0.61 fof(f281,plain,(
% 0.16/0.61 sK18_skl=empty_set|~sQ10_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f276,f168])).
% 0.16/0.61 fof(f283,plain,(
% 0.16/0.61 $false|sQ0_spl|~sQ10_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f281,f199])).
% 0.16/0.61 fof(f284,plain,(
% 0.16/0.61 sQ0_spl|~sQ10_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f283])).
% 0.16/0.61 fof(f289,plain,(
% 0.16/0.61 relation_of2_as_subset(sK19_skl,empty_set,sK20_skl)|~sQ1_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f201,f226])).
% 0.16/0.61 fof(f292,plain,(
% 0.16/0.61 empty_set=relation_dom_as_subset(sK17_skl,sK20_skl,sK19_skl)|~sQ1_spl|~sQ11_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f201,f269])).
% 0.16/0.61 fof(f293,plain,(
% 0.16/0.61 empty_set=relation_dom_as_subset(empty_set,sK20_skl,sK19_skl)|~sQ1_spl|~sQ11_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f201,f292])).
% 0.16/0.61 fof(f295,plain,(
% 0.16/0.61 ~quasi_total(sK19_skl,empty_set,sK20_skl)|~sQ1_spl|sQ3_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f201,f209])).
% 0.16/0.61 fof(f357,plain,(
% 0.16/0.61 ~relation_of2_as_subset(sK19_skl,empty_set,sK20_skl)|sP0_prd(sK20_skl,empty_set)|quasi_total(sK19_skl,empty_set,sK20_skl)|~sQ1_spl|~sQ11_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f72,f293])).
% 0.16/0.61 fof(f363,definition,(
% 0.16/0.61 sQ18_spl <=> (sP0_prd(sK18_skl,empty_set))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f364,plain,(
% 0.16/0.61 sP0_prd(sK18_skl,empty_set)|~sQ18_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f363])).
% 0.16/0.61 fof(f370,definition,(
% 0.16/0.61 sQ20_spl <=> (relation_of2_as_subset(sK19_skl,empty_set,sK20_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f372,plain,(
% 0.16/0.61 ~relation_of2_as_subset(sK19_skl,empty_set,sK20_skl)|sQ20_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f370])).
% 0.16/0.61 fof(f373,definition,(
% 0.16/0.61 sQ21_spl <=> (sP0_prd(sK20_skl,empty_set))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f374,plain,(
% 0.16/0.61 sP0_prd(sK20_skl,empty_set)|~sQ21_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f373])).
% 0.16/0.61 fof(f376,definition,(
% 0.16/0.61 sQ22_spl <=> (quasi_total(sK19_skl,empty_set,sK20_skl))),
% 0.16/0.61 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.16/0.61 fof(f377,plain,(
% 0.16/0.61 quasi_total(sK19_skl,empty_set,sK20_skl)|~sQ22_spl),
% 0.16/0.61 inference(component_clause,[status(thm)],[f376])).
% 0.16/0.61 fof(f379,plain,(
% 0.16/0.61 ~sQ20_spl|sQ21_spl|sQ22_spl|~sQ1_spl|~sQ11_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f357,f370,f373,f376,f200,f268])).
% 0.16/0.61 fof(f385,plain,(
% 0.16/0.61 $false|~sQ21_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f374,f217])).
% 0.16/0.61 fof(f386,plain,(
% 0.16/0.61 ~sQ21_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f385])).
% 0.16/0.61 fof(f387,plain,(
% 0.16/0.61 $false|~sQ18_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f364,f217])).
% 0.16/0.61 fof(f388,plain,(
% 0.16/0.61 ~sQ18_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f387])).
% 0.16/0.61 fof(f389,plain,(
% 0.16/0.61 $false|sQ8_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f187,f258])).
% 0.16/0.61 fof(f390,plain,(
% 0.16/0.61 sQ8_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f389])).
% 0.16/0.61 fof(f395,plain,(
% 0.16/0.61 sK18_skl=empty_set|~sQ7_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f254,f194])).
% 0.16/0.61 fof(f396,plain,(
% 0.16/0.61 sQ0_spl|~sQ7_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f395,f197,f253])).
% 0.16/0.61 fof(f397,plain,(
% 0.16/0.61 $false|sQ20_spl|~sQ1_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f289,f372])).
% 0.16/0.61 fof(f398,plain,(
% 0.16/0.61 sQ20_spl|~sQ1_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f397])).
% 0.16/0.61 fof(f406,plain,(
% 0.16/0.61 $false|~sQ22_spl|~sQ1_spl|sQ3_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f295,f377])).
% 0.16/0.61 fof(f407,plain,(
% 0.16/0.61 ~sQ22_spl|~sQ1_spl|sQ3_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f406])).
% 0.16/0.61 fof(f409,plain,(
% 0.16/0.61 relation_of2(sK19_skl,sK17_skl,sK20_skl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f226,f152])).
% 0.16/0.61 fof(f414,plain,(
% 0.16/0.61 relation_of2(sK19_skl,sK17_skl,sK18_skl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f188,f152])).
% 0.16/0.61 fof(f419,plain,(
% 0.16/0.61 relation_dom_as_subset(sK17_skl,sK20_skl,sK19_skl)=relation_dom(sK19_skl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f409,f149])).
% 0.16/0.61 fof(f423,plain,(
% 0.16/0.61 relation_dom_as_subset(sK17_skl,sK18_skl,sK19_skl)=relation_dom(sK19_skl)),
% 0.16/0.61 inference(resolution,[status(thm)],[f414,f149])).
% 0.16/0.61 fof(f427,plain,(
% 0.16/0.61 relation_dom_as_subset(sK17_skl,sK20_skl,sK19_skl)=sK17_skl|~sQ9_spl),
% 0.16/0.61 inference(backward_demodulation,[status(thm)],[f428,f419])).
% 0.16/0.61 fof(f428,plain,(
% 0.16/0.61 sK17_skl=relation_dom(sK19_skl)|~sQ9_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f260,f423])).
% 0.16/0.61 fof(f439,plain,(
% 0.16/0.61 ~relation_of2_as_subset(sK19_skl,sK17_skl,sK20_skl)|sP0_prd(sK20_skl,sK17_skl)|quasi_total(sK19_skl,sK17_skl,sK20_skl)|~sQ9_spl),
% 0.16/0.61 inference(resolution,[status(thm)],[f427,f72])).
% 0.16/0.61 fof(f441,plain,(
% 0.16/0.61 ~sQ4_spl|sQ10_spl|sQ3_spl|~sQ9_spl),
% 0.16/0.61 inference(split_clause,[status(thm)],[f439,f210,f265,f207,f259])).
% 0.16/0.61 fof(f456,plain,(
% 0.16/0.61 relation_dom_as_subset(empty_set,sK20_skl,sK19_skl)=relation_dom(sK19_skl)|~sQ1_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f201,f419])).
% 0.16/0.61 fof(f464,plain,(
% 0.16/0.61 sP0_prd(sK18_skl,empty_set)|~sQ1_spl|~sQ7_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f201,f254])).
% 0.16/0.61 fof(f465,plain,(
% 0.16/0.61 $false|~sQ1_spl|~sQ7_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f464,f217])).
% 0.16/0.61 fof(f466,plain,(
% 0.16/0.61 ~sQ1_spl|~sQ7_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f465])).
% 0.16/0.61 fof(f467,plain,(
% 0.16/0.61 ~empty_set=relation_dom_as_subset(sK17_skl,sK20_skl,sK19_skl)|~sQ1_spl|sQ11_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f201,f270])).
% 0.16/0.61 fof(f468,plain,(
% 0.16/0.61 ~empty_set=relation_dom_as_subset(empty_set,sK20_skl,sK19_skl)|~sQ1_spl|sQ11_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f201,f467])).
% 0.16/0.61 fof(f469,plain,(
% 0.16/0.61 ~empty_set=relation_dom(sK19_skl)|~sQ1_spl|sQ11_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f456,f468])).
% 0.16/0.61 fof(f486,plain,(
% 0.16/0.61 empty_set=relation_dom(sK19_skl)|~sQ1_spl|~sQ9_spl),
% 0.16/0.61 inference(forward_demodulation,[status(thm)],[f201,f428])).
% 0.16/0.61 fof(f487,plain,(
% 0.16/0.61 $false|sQ11_spl|~sQ1_spl|~sQ9_spl),
% 0.16/0.61 inference(forward_subsumption_resolution,[status(thm)],[f486,f469])).
% 0.16/0.61 fof(f488,plain,(
% 0.16/0.61 sQ11_spl|~sQ1_spl|~sQ9_spl),
% 0.16/0.61 inference(contradiction_clause,[status(thm)],[f487])).
% 0.16/0.61 fof(f489,plain,(
% 0.16/0.61 $false),
% 0.16/0.61 inference(sat_refutation,[status(thm)],[f203,f213,f229,f231,f248,f250,f262,f284,f379,f386,f388,f390,f396,f398,f407,f441,f466,f488])).
% 0.16/0.61 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.64 % Elapsed time: 0.078481 seconds
% 0.16/0.64 % CPU time: 0.365897 seconds
% 0.16/0.64 % Total memory used: 88.430 MB
% 0.16/0.64 % Net memory used: 87.965 MB
%------------------------------------------------------------------------------