%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET988+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 : n001.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 02:12:57 PM UTC 2026
% Result : Theorem 0.15s 5.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET988+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
% 0.15/5.45 % Computer : n001.cluster.edu
% 0.15/5.45 % Model : x86_64 x86_64
% 0.15/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.45 % Memory : 8046.5625MB
% 0.15/5.45 % OS : Linux 6.8.0-71-generic
% 0.15/5.45 % CPULimit : 300
% 0.15/5.45 % WCLimit : 300
% 0.15/5.45 % DateTime : Mon Sep 21 05:52:19 UTC 2026
% 0.15/5.46 % CPUTime :
% 0.15/5.47 % Drodi V4.1.1
% 0.15/5.49 % Refutation found
% 0.15/5.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.49 % SZS output start CNFRefutation for theBenchmark
% 0.15/5.49 fof(f6,axiom,(
% 0.15/5.49 (! [A] :(? [B] : element(B,A) ))),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f8,axiom,(
% 0.15/5.49 (! [A] : ~ empty(powerset(A)) )),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f12,axiom,(
% 0.15/5.49 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f15,axiom,(
% 0.15/5.49 (! [A,B,C] :~ ( in(A,B)& element(B,powerset(C))& empty(C) ) )),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f16,axiom,(
% 0.15/5.49 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f18,axiom,(
% 0.15/5.49 (! [A,B] :( in(A,B)=> ~ in(B,A) ) )),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f26,axiom,(
% 0.15/5.49 (? [A] : empty(A) )),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f31,conjecture,(
% 0.15/5.49 (! [A] :( ( (! [B] :~ ( in(B,A)& (! [C,D] : ordered_pair(C,D) != B )))& (! [B,C,D] :( ( in(ordered_pair(B,C),A)& in(ordered_pair(B,D),A) )=> C = D ) ))=> ( relation(A)& function(A) ) ) )),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f32,negated_conjecture,(
% 0.15/5.49 ~((! [A] :( ( (! [B] :~ ( in(B,A)& (! [C,D] : ordered_pair(C,D) != B )))& (! [B,C,D] :( ( in(ordered_pair(B,C),A)& in(ordered_pair(B,D),A) )=> C = D ) ))=> ( relation(A)& function(A) ) ) ))),
% 0.15/5.49 inference(negated_conjecture,[status(cth)],[f31])).
% 0.15/5.49 fof(f33,axiom,(
% 0.15/5.49 (! [A] :( function(A)<=> (! [B,C,D] :( ( in(ordered_pair(B,C),A)& in(ordered_pair(B,D),A) )=> C = D ) )) )),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f34,axiom,(
% 0.15/5.49 (! [A] :( relation(A)<=> (! [B] :~ ( in(B,A)& (! [C,D] : B != ordered_pair(C,D) )) )) )),
% 0.15/5.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/5.49 fof(f44,plain,(
% 0.15/5.49 ![A]: element(sK0_skl(A),A)),
% 0.15/5.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(B,sK0_skl(A))],[f6])).
% 0.15/5.49 fof(f45,plain,(
% 0.15/5.49 ![X0]: (element(sK0_skl(X0),X0))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f44])).
% 0.15/5.49 fof(f48,plain,(
% 0.15/5.49 ![X0]: (~empty(powerset(X0)))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f8])).
% 0.15/5.49 fof(f53,plain,(
% 0.15/5.49 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.15/5.49 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.15/5.49 fof(f54,plain,(
% 0.15/5.49 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f53])).
% 0.15/5.49 fof(f62,plain,(
% 0.15/5.49 ![A,B,C]: ((~in(A,B)|~element(B,powerset(C)))|~empty(C))),
% 0.15/5.49 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 0.15/5.49 fof(f63,plain,(
% 0.15/5.49 ![C]: ((![B]: ((![A]: ~in(A,B))|~element(B,powerset(C))))|~empty(C))),
% 0.15/5.49 inference(miniscoping,[status(thm)],[f62])).
% 0.15/5.49 fof(f64,plain,(
% 0.15/5.49 ![X0,X1,X2]: (~in(X0,X1)|~element(X1,powerset(X2))|~empty(X2))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f63])).
% 0.15/5.49 fof(f65,plain,(
% 0.15/5.49 ![A]: (~empty(A)|A=empty_set)),
% 0.15/5.49 inference(pre_NNF_transformation,[status(thm)],[f16])).
% 0.15/5.49 fof(f66,plain,(
% 0.15/5.49 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f65])).
% 0.15/5.49 fof(f70,plain,(
% 0.15/5.49 ![A,B]: (~in(A,B)|~in(B,A))),
% 0.15/5.49 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.15/5.49 fof(f71,plain,(
% 0.15/5.49 ![X0,X1]: (~in(X0,X1)|~in(X1,X0))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f70])).
% 0.15/5.49 fof(f92,plain,(
% 0.15/5.49 empty(sK7_skl)),
% 0.15/5.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(A,sK7_skl)],[f26])).
% 0.15/5.49 fof(f93,plain,(
% 0.15/5.49 empty(sK7_skl)),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f92])).
% 0.15/5.49 fof(f102,plain,(
% 0.15/5.49 (?[A]: (((![B]: (~in(B,A)|(?[C,D]: ordered_pair(C,D)=B)))&(![B,C,D]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(B,D),A))|C=D)))&(~relation(A)|~function(A))))),
% 0.15/5.49 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.15/5.49 fof(f103,plain,(
% 0.15/5.49 ?[A]: (((![B]: (~in(B,A)|(?[C,D]: ordered_pair(C,D)=B)))&(![C,D]: ((![B]: (~in(ordered_pair(B,C),A)|~in(ordered_pair(B,D),A)))|C=D)))&(~relation(A)|~function(A)))),
% 0.15/5.49 inference(miniscoping,[status(thm)],[f102])).
% 0.15/5.49 fof(f104,plain,(
% 0.15/5.49 (((![B]: (~in(B,sK9_skl)|ordered_pair(sK10_skl(B),sK11_skl(B))=B))&(![C,D]: ((![B]: (~in(ordered_pair(B,C),sK9_skl)|~in(ordered_pair(B,D),sK9_skl)))|C=D)))&(~relation(sK9_skl)|~function(sK9_skl)))),
% 0.15/5.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl,sK10_skl,sK11_skl]),skolemize(A,sK9_skl),skolemize(C,sK10_skl(B)),skolemize(D,sK11_skl(B))],[f103])).
% 0.15/5.49 fof(f105,plain,(
% 0.15/5.49 ![X0]: (~in(X0,sK9_skl)|ordered_pair(sK10_skl(X0),sK11_skl(X0))=X0)),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f104])).
% 0.15/5.49 fof(f106,plain,(
% 0.15/5.49 ![X0,X1,X2]: (~in(ordered_pair(X0,X1),sK9_skl)|~in(ordered_pair(X0,X2),sK9_skl)|X1=X2)),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f104])).
% 0.15/5.49 fof(f107,plain,(
% 0.15/5.49 ~relation(sK9_skl)|~function(sK9_skl)),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f104])).
% 0.15/5.49 fof(f108,plain,(
% 0.15/5.49 ![A]: (function(A)<=>(![B,C,D]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(B,D),A))|C=D)))),
% 0.15/5.49 inference(pre_NNF_transformation,[status(thm)],[f33])).
% 0.15/5.49 fof(f109,plain,(
% 0.15/5.49 ![A]: ((~function(A)|(![B,C,D]: ((~in(ordered_pair(B,C),A)|~in(ordered_pair(B,D),A))|C=D)))&(function(A)|(?[B,C,D]: ((in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A))&~C=D))))),
% 0.15/5.49 inference(NNF_transformation,[status(thm)],[f108])).
% 0.15/5.49 fof(f110,plain,(
% 0.15/5.49 (![A]: (~function(A)|(![C,D]: ((![B]: (~in(ordered_pair(B,C),A)|~in(ordered_pair(B,D),A)))|C=D))))&(![A]: (function(A)|(?[C,D]: ((?[B]: (in(ordered_pair(B,C),A)&in(ordered_pair(B,D),A)))&~C=D))))),
% 0.15/5.49 inference(miniscoping,[status(thm)],[f109])).
% 0.15/5.49 fof(f111,plain,(
% 0.15/5.49 (![A]: (~function(A)|(![C,D]: ((![B]: (~in(ordered_pair(B,C),A)|~in(ordered_pair(B,D),A)))|C=D))))&(![A]: (function(A)|((in(ordered_pair(sK14_skl(A),sK12_skl(A)),A)&in(ordered_pair(sK14_skl(A),sK13_skl(A)),A))&~sK12_skl(A)=sK13_skl(A))))),
% 0.15/5.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK12_skl,sK13_skl,sK14_skl]),skolemize(C,sK12_skl(A)),skolemize(D,sK13_skl(A)),skolemize(B,sK14_skl(A))],[f110])).
% 0.15/5.49 fof(f113,plain,(
% 0.15/5.49 ![X0]: (function(X0)|in(ordered_pair(sK14_skl(X0),sK12_skl(X0)),X0))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f111])).
% 0.15/5.49 fof(f114,plain,(
% 0.15/5.49 ![X0]: (function(X0)|in(ordered_pair(sK14_skl(X0),sK13_skl(X0)),X0))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f111])).
% 0.15/5.49 fof(f115,plain,(
% 0.15/5.49 ![X0]: (function(X0)|~sK12_skl(X0)=sK13_skl(X0))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f111])).
% 0.15/5.49 fof(f116,plain,(
% 0.15/5.49 ![A]: (relation(A)<=>(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))),
% 0.15/5.49 inference(pre_NNF_transformation,[status(thm)],[f34])).
% 0.15/5.49 fof(f117,plain,(
% 0.15/5.49 ![A]: ((~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D)))))&(relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 0.15/5.49 inference(NNF_transformation,[status(thm)],[f116])).
% 0.15/5.49 fof(f118,plain,(
% 0.15/5.49 (![A]: (~relation(A)|(![B]: (~in(B,A)|(?[C,D]: B=ordered_pair(C,D))))))&(![A]: (relation(A)|(?[B]: (in(B,A)&(![C,D]: ~B=ordered_pair(C,D))))))),
% 0.15/5.49 inference(miniscoping,[status(thm)],[f117])).
% 0.15/5.49 fof(f119,plain,(
% 0.15/5.49 (![A]: (~relation(A)|(![B]: (~in(B,A)|B=ordered_pair(sK15_skl(B,A),sK16_skl(B,A))))))&(![A]: (relation(A)|(in(sK17_skl(A),A)&(![C,D]: ~sK17_skl(A)=ordered_pair(C,D)))))),
% 0.15/5.49 inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl,sK17_skl]),skolemize(C,sK15_skl(B,A)),skolemize(D,sK16_skl(B,A)),skolemize(B,sK17_skl(A))],[f118])).
% 0.15/5.49 fof(f121,plain,(
% 0.15/5.49 ![X0]: (relation(X0)|in(sK17_skl(X0),X0))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f119])).
% 0.15/5.49 fof(f122,plain,(
% 0.15/5.49 ![X0,X1,X2]: (relation(X0)|~sK17_skl(X0)=ordered_pair(X1,X2))),
% 0.15/5.49 inference(cnf_transformation,[status(thm)],[f119])).
% 0.15/5.49 fof(f123,definition,(
% 0.15/5.49 sQ0_spl <=> (relation(sK9_skl))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f126,definition,(
% 0.15/5.49 sQ1_spl <=> (function(sK9_skl))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f129,plain,(
% 0.15/5.49 ~sQ0_spl|~sQ1_spl),
% 0.15/5.49 inference(split_clause,[status(thm)],[f107,f123,f126])).
% 0.15/5.49 fof(f145,plain,(
% 0.15/5.49 sK7_skl=empty_set),
% 0.15/5.49 inference(resolution,[status(thm)],[f66,f93])).
% 0.15/5.49 fof(f148,plain,(
% 0.15/5.49 ![X0]: (empty(X0)|in(sK0_skl(X0),X0))),
% 0.15/5.49 inference(resolution,[status(thm)],[f54,f45])).
% 0.15/5.49 fof(f149,plain,(
% 0.15/5.49 ![X0]: (~empty(X0)|X0=sK7_skl)),
% 0.15/5.49 inference(backward_demodulation,[status(thm)],[f145,f66])).
% 0.15/5.49 fof(f182,plain,(
% 0.15/5.49 relation(sK9_skl)|ordered_pair(sK10_skl(sK17_skl(sK9_skl)),sK11_skl(sK17_skl(sK9_skl)))=sK17_skl(sK9_skl)),
% 0.15/5.49 inference(resolution,[status(thm)],[f121,f105])).
% 0.15/5.49 fof(f186,definition,(
% 0.15/5.49 sQ2_spl <=> (ordered_pair(sK10_skl(sK17_skl(sK9_skl)),sK11_skl(sK17_skl(sK9_skl)))=sK17_skl(sK9_skl))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f187,plain,(
% 0.15/5.49 ordered_pair(sK10_skl(sK17_skl(sK9_skl)),sK11_skl(sK17_skl(sK9_skl)))=sK17_skl(sK9_skl)|~sQ2_spl),
% 0.15/5.49 inference(component_clause,[status(thm)],[f186])).
% 0.15/5.49 fof(f189,plain,(
% 0.15/5.49 sQ0_spl|sQ2_spl),
% 0.15/5.49 inference(split_clause,[status(thm)],[f182,f123,f186])).
% 0.15/5.49 fof(f193,plain,(
% 0.15/5.49 ![X0]: (empty(X0)|~in(X0,sK0_skl(X0)))),
% 0.15/5.49 inference(resolution,[status(thm)],[f148,f71])).
% 0.15/5.49 fof(f215,plain,(
% 0.15/5.49 ![X0,X1]: (~in(X0,sK0_skl(powerset(X1)))|~empty(X1))),
% 0.15/5.49 inference(resolution,[status(thm)],[f64,f45])).
% 0.15/5.49 fof(f217,definition,(
% 0.15/5.49 ![X0]: (sQ5_spl <=> (~in(X0,sK7_skl)))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f287,plain,(
% 0.15/5.49 ![X0]: (~empty(X0)|empty(sK0_skl(powerset(X0))))),
% 0.15/5.49 inference(resolution,[status(thm)],[f215,f148])).
% 0.15/5.49 fof(f289,plain,(
% 0.15/5.49 empty(sK0_skl(powerset(sK7_skl)))),
% 0.15/5.49 inference(resolution,[status(thm)],[f287,f93])).
% 0.15/5.49 fof(f292,plain,(
% 0.15/5.49 sK0_skl(powerset(sK7_skl))=sK7_skl),
% 0.15/5.49 inference(resolution,[status(thm)],[f289,f149])).
% 0.15/5.49 fof(f296,plain,(
% 0.15/5.49 ![X0]: (~in(X0,sK7_skl)|~empty(sK7_skl))),
% 0.15/5.49 inference(paramodulation,[status(thm)],[f292,f215])).
% 0.15/5.49 fof(f298,plain,(
% 0.15/5.49 empty(powerset(sK7_skl))|~in(powerset(sK7_skl),sK7_skl)),
% 0.15/5.49 inference(paramodulation,[status(thm)],[f292,f193])).
% 0.15/5.49 fof(f299,plain,(
% 0.15/5.49 empty(powerset(sK7_skl))|in(sK7_skl,powerset(sK7_skl))),
% 0.15/5.49 inference(paramodulation,[status(thm)],[f292,f148])).
% 0.15/5.49 fof(f301,definition,(
% 0.15/5.49 sQ14_spl <=> (empty(sK7_skl))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f303,plain,(
% 0.15/5.49 ~empty(sK7_skl)|sQ14_spl),
% 0.15/5.49 inference(component_clause,[status(thm)],[f301])).
% 0.15/5.49 fof(f304,plain,(
% 0.15/5.49 sQ5_spl|~sQ14_spl),
% 0.15/5.49 inference(split_clause,[status(thm)],[f296,f217,f301])).
% 0.15/5.49 fof(f305,definition,(
% 0.15/5.49 sQ15_spl <=> (empty(powerset(sK7_skl)))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f306,plain,(
% 0.15/5.49 empty(powerset(sK7_skl))|~sQ15_spl),
% 0.15/5.49 inference(component_clause,[status(thm)],[f305])).
% 0.15/5.49 fof(f308,definition,(
% 0.15/5.49 sQ16_spl <=> (in(powerset(sK7_skl),sK7_skl))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f311,plain,(
% 0.15/5.49 sQ15_spl|~sQ16_spl),
% 0.15/5.49 inference(split_clause,[status(thm)],[f298,f305,f308])).
% 0.15/5.49 fof(f312,definition,(
% 0.15/5.49 sQ17_spl <=> (in(sK7_skl,powerset(sK7_skl)))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f315,plain,(
% 0.15/5.49 sQ15_spl|sQ17_spl),
% 0.15/5.49 inference(split_clause,[status(thm)],[f299,f305,f312])).
% 0.15/5.49 fof(f316,plain,(
% 0.15/5.49 $false|~sQ15_spl),
% 0.15/5.49 inference(forward_subsumption_resolution,[status(thm)],[f306,f48])).
% 0.15/5.49 fof(f317,plain,(
% 0.15/5.49 ~sQ15_spl),
% 0.15/5.49 inference(contradiction_clause,[status(thm)],[f316])).
% 0.15/5.49 fof(f327,plain,(
% 0.15/5.49 ![X0]: (function(sK9_skl)|~in(ordered_pair(sK14_skl(sK9_skl),X0),sK9_skl)|X0=sK12_skl(sK9_skl))),
% 0.15/5.49 inference(resolution,[status(thm)],[f113,f106])).
% 0.15/5.49 fof(f335,definition,(
% 0.15/5.49 ![X0]: (sQ18_spl <=> (~in(ordered_pair(sK14_skl(sK9_skl),X0),sK9_skl)|X0=sK12_skl(sK9_skl)))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f336,plain,(
% 0.15/5.49 ![X0]: (~in(ordered_pair(sK14_skl(sK9_skl),X0),sK9_skl)|X0=sK12_skl(sK9_skl)|~sQ18_spl)),
% 0.15/5.49 inference(component_clause,[status(thm)],[f335])).
% 0.15/5.49 fof(f338,plain,(
% 0.15/5.49 sQ1_spl|sQ18_spl),
% 0.15/5.49 inference(split_clause,[status(thm)],[f327,f126,f335])).
% 0.15/5.49 fof(f359,plain,(
% 0.15/5.49 relation(sK9_skl)|~sQ2_spl),
% 0.15/5.49 inference(resolution,[status(thm)],[f187,f122])).
% 0.15/5.49 fof(f366,plain,(
% 0.15/5.49 sQ0_spl|~sQ2_spl),
% 0.15/5.49 inference(split_clause,[status(thm)],[f359,f123,f186])).
% 0.15/5.49 fof(f375,plain,(
% 0.15/5.49 $false|sQ14_spl),
% 0.15/5.49 inference(forward_subsumption_resolution,[status(thm)],[f303,f93])).
% 0.15/5.49 fof(f376,plain,(
% 0.15/5.49 sQ14_spl),
% 0.15/5.49 inference(contradiction_clause,[status(thm)],[f375])).
% 0.15/5.49 fof(f379,plain,(
% 0.15/5.49 sK13_skl(sK9_skl)=sK12_skl(sK9_skl)|function(sK9_skl)|~sQ18_spl),
% 0.15/5.49 inference(resolution,[status(thm)],[f336,f114])).
% 0.15/5.49 fof(f381,definition,(
% 0.15/5.49 sQ24_spl <=> (sK13_skl(sK9_skl)=sK12_skl(sK9_skl))),
% 0.15/5.49 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.15/5.49 fof(f382,plain,(
% 0.15/5.49 sK13_skl(sK9_skl)=sK12_skl(sK9_skl)|~sQ24_spl),
% 0.15/5.49 inference(component_clause,[status(thm)],[f381])).
% 0.15/5.49 fof(f384,plain,(
% 0.15/5.49 sQ24_spl|sQ1_spl|~sQ18_spl),
% 0.15/5.49 inference(split_clause,[status(thm)],[f379,f381,f126,f335])).
% 0.15/5.49 fof(f395,plain,(
% 0.15/5.49 function(sK9_skl)|~sQ24_spl),
% 0.15/5.49 inference(resolution,[status(thm)],[f382,f115])).
% 0.15/5.49 fof(f398,plain,(
% 0.15/5.49 sQ1_spl|~sQ24_spl),
% 0.15/5.49 inference(split_clause,[status(thm)],[f395,f126,f381])).
% 0.15/5.49 fof(f407,plain,(
% 0.15/5.49 $false),
% 0.15/5.49 inference(sat_refutation,[status(thm)],[f129,f189,f304,f311,f315,f317,f338,f366,f376,f384,f398])).
% 0.15/5.49 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.52 % Elapsed time: 0.056976 seconds
% 0.22/5.52 % CPU time: 0.156062 seconds
% 0.22/5.52 % Total memory used: 38.932 MB
% 0.22/5.52 % Net memory used: 38.897 MB
%------------------------------------------------------------------------------