%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEU187+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 : n007.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 02:21:56 PM UTC 2026
% Result : Theorem 0.16s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SEU187+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 05:54:05 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.48 fof(f4,axiom,(
% 0.16/0.48 (! [A] :( relation(A)=> (! [B] :( B = relation_dom(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(C,D),A) )) )) )) )),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f5,axiom,(
% 0.16/0.48 (! [A] :( relation(A)=> (! [B] :( B = relation_rng(A)<=> (! [C] :( in(C,B)<=> (? [D] : in(ordered_pair(D,C),A) )) )) )) )),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f19,axiom,(
% 0.16/0.48 ( empty(empty_set)& relation(empty_set) ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f22,axiom,(
% 0.16/0.48 (? [A] :( empty(A)& relation(A) ) )),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f23,axiom,(
% 0.16/0.48 (? [A] : empty(A) )),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f24,axiom,(
% 0.16/0.48 (? [A] :( ~ empty(A)& relation(A) ) )),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f29,conjecture,(
% 0.16/0.48 ( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) ),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f30,negated_conjecture,(
% 0.16/0.48 ~(( relation_dom(empty_set) = empty_set& relation_rng(empty_set) = empty_set ) )),
% 0.16/0.48 inference(negated_conjecture,[status(cth)],[f29])).
% 0.16/0.48 fof(f31,axiom,(
% 0.16/0.48 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f32,axiom,(
% 0.16/0.48 (! [A,B] :~ ( in(A,B)& empty(B) ) )),
% 0.16/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.48 fof(f39,plain,(
% 0.16/0.48 ![A]: (~relation(A)|(![B]: (B=relation_dom(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(C,D),A)))))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.16/0.48 fof(f40,plain,(
% 0.16/0.48 ![A]: (~relation(A)|(![B]: ((~B=relation_dom(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(C,D),A)))&(in(C,B)|(![D]: ~in(ordered_pair(C,D),A))))))&(B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.16/0.48 inference(NNF_transformation,[status(thm)],[f39])).
% 0.16/0.48 fof(f41,plain,(
% 0.16/0.48 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(C,D),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))&(in(C,B)|(?[D]: in(ordered_pair(C,D),A)))))))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f40])).
% 0.16/0.48 fof(f42,plain,(
% 0.16/0.48 ![A]: (~relation(A)|((![B]: (~B=relation_dom(A)|((![C]: (~in(C,B)|in(ordered_pair(C,sK0_skl(C,B,A)),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(C,D),A)))))))&(![B]: (B=relation_dom(A)|((~in(sK1_skl(B,A),B)|(![D]: ~in(ordered_pair(sK1_skl(B,A),D),A)))&(in(sK1_skl(B,A),B)|in(ordered_pair(sK1_skl(B,A),sK2_skl(B,A)),A)))))))),
% 0.16/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(D,sK0_skl(C,B,A)),skolemize(C,sK1_skl(B,A)),skolemize(D,sK2_skl(B,A))],[f41])).
% 0.16/0.48 fof(f46,plain,(
% 0.16/0.48 ![X0,X1]: (~relation(X0)|X1=relation_dom(X0)|in(sK1_skl(X1,X0),X1)|in(ordered_pair(sK1_skl(X1,X0),sK2_skl(X1,X0)),X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f42])).
% 0.16/0.48 fof(f47,plain,(
% 0.16/0.48 ![A]: (~relation(A)|(![B]: (B=relation_rng(A)<=>(![C]: (in(C,B)<=>(?[D]: in(ordered_pair(D,C),A)))))))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(thm)],[f5])).
% 0.16/0.48 fof(f48,plain,(
% 0.16/0.48 ![A]: (~relation(A)|(![B]: ((~B=relation_rng(A)|(![C]: ((~in(C,B)|(?[D]: in(ordered_pair(D,C),A)))&(in(C,B)|(![D]: ~in(ordered_pair(D,C),A))))))&(B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 0.16/0.48 inference(NNF_transformation,[status(thm)],[f47])).
% 0.16/0.48 fof(f49,plain,(
% 0.16/0.48 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|(?[D]: in(ordered_pair(D,C),A))))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|(?[C]: ((~in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))&(in(C,B)|(?[D]: in(ordered_pair(D,C),A)))))))))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f48])).
% 0.16/0.48 fof(f50,plain,(
% 0.16/0.48 ![A]: (~relation(A)|((![B]: (~B=relation_rng(A)|((![C]: (~in(C,B)|in(ordered_pair(sK3_skl(C,B,A),C),A)))&(![C]: (in(C,B)|(![D]: ~in(ordered_pair(D,C),A)))))))&(![B]: (B=relation_rng(A)|((~in(sK4_skl(B,A),B)|(![D]: ~in(ordered_pair(D,sK4_skl(B,A)),A)))&(in(sK4_skl(B,A),B)|in(ordered_pair(sK5_skl(B,A),sK4_skl(B,A)),A)))))))),
% 0.16/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl,sK4_skl,sK5_skl]),skolemize(D,sK3_skl(C,B,A)),skolemize(C,sK4_skl(B,A)),skolemize(D,sK5_skl(B,A))],[f49])).
% 0.16/0.48 fof(f54,plain,(
% 0.16/0.48 ![X0,X1]: (~relation(X0)|X1=relation_rng(X0)|in(sK4_skl(X1,X0),X1)|in(ordered_pair(sK5_skl(X1,X0),sK4_skl(X1,X0)),X0))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f50])).
% 0.16/0.48 fof(f63,plain,(
% 0.16/0.48 relation(empty_set)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f19])).
% 0.16/0.48 fof(f68,plain,(
% 0.16/0.48 (empty(sK7_skl)&relation(sK7_skl))),
% 0.16/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK7_skl]),skolemize(A,sK7_skl)],[f22])).
% 0.16/0.48 fof(f69,plain,(
% 0.16/0.48 empty(sK7_skl)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f68])).
% 0.16/0.48 fof(f71,plain,(
% 0.16/0.48 empty(sK8_skl)),
% 0.16/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK8_skl]),skolemize(A,sK8_skl)],[f23])).
% 0.16/0.48 fof(f72,plain,(
% 0.16/0.48 empty(sK8_skl)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f71])).
% 0.16/0.48 fof(f73,plain,(
% 0.16/0.48 (~empty(sK9_skl)&relation(sK9_skl))),
% 0.16/0.48 inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(A,sK9_skl)],[f24])).
% 0.16/0.48 fof(f74,plain,(
% 0.16/0.48 ~empty(sK9_skl)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f73])).
% 0.16/0.48 fof(f75,plain,(
% 0.16/0.48 relation(sK9_skl)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f73])).
% 0.16/0.48 fof(f87,plain,(
% 0.16/0.48 (~relation_dom(empty_set)=empty_set|~relation_rng(empty_set)=empty_set)),
% 0.16/0.48 inference(pre_NNF_transformation,[status(thm)],[f30])).
% 0.16/0.48 fof(f88,plain,(
% 0.16/0.48 ~relation_dom(empty_set)=empty_set|~relation_rng(empty_set)=empty_set),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f87])).
% 0.16/0.48 fof(f89,plain,(
% 0.16/0.48 ![A]: (~empty(A)|A=empty_set)),
% 0.16/0.48 inference(pre_NNF_transformation,[status(thm)],[f31])).
% 0.16/0.48 fof(f90,plain,(
% 0.16/0.48 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f89])).
% 0.16/0.48 fof(f91,plain,(
% 0.16/0.48 ![A,B]: (~in(A,B)|~empty(B))),
% 0.16/0.48 inference(pre_NNF_transformation,[status(thm)],[f32])).
% 0.16/0.48 fof(f92,plain,(
% 0.16/0.48 ![B]: ((![A]: ~in(A,B))|~empty(B))),
% 0.16/0.48 inference(miniscoping,[status(thm)],[f91])).
% 0.16/0.48 fof(f93,plain,(
% 0.16/0.48 ![X0,X1]: (~in(X0,X1)|~empty(X1))),
% 0.16/0.48 inference(cnf_transformation,[status(thm)],[f92])).
% 0.16/0.48 fof(f97,definition,(
% 0.16/0.48 sQ0_spl <=> (relation_dom(empty_set)=empty_set)),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f99,plain,(
% 0.16/0.48 ~relation_dom(empty_set)=empty_set|sQ0_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f97])).
% 0.16/0.48 fof(f100,definition,(
% 0.16/0.48 sQ1_spl <=> (relation_rng(empty_set)=empty_set)),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f102,plain,(
% 0.16/0.48 ~relation_rng(empty_set)=empty_set|sQ1_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f100])).
% 0.16/0.48 fof(f103,plain,(
% 0.16/0.48 ~sQ0_spl|~sQ1_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f88,f97,f100])).
% 0.16/0.48 fof(f109,plain,(
% 0.16/0.48 sK7_skl=empty_set),
% 0.16/0.48 inference(resolution,[status(thm)],[f69,f90])).
% 0.16/0.48 fof(f110,plain,(
% 0.16/0.48 ![X0]: (~empty(X0)|X0=sK7_skl)),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f109,f90])).
% 0.16/0.48 fof(f111,plain,(
% 0.16/0.48 relation(sK7_skl)),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f109,f63])).
% 0.16/0.48 fof(f113,plain,(
% 0.16/0.48 ~relation_dom(empty_set)=sK7_skl|sQ0_spl),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f109,f99])).
% 0.16/0.48 fof(f114,plain,(
% 0.16/0.48 ~relation_dom(sK7_skl)=sK7_skl|sQ0_spl),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f109,f113])).
% 0.16/0.48 fof(f116,plain,(
% 0.16/0.48 sK8_skl=sK7_skl),
% 0.16/0.48 inference(resolution,[status(thm)],[f72,f110])).
% 0.16/0.48 fof(f117,plain,(
% 0.16/0.48 ~relation_dom(sK7_skl)=sK8_skl|sQ0_spl),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f116,f114])).
% 0.16/0.48 fof(f119,plain,(
% 0.16/0.48 relation(sK8_skl)),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f116,f111])).
% 0.16/0.48 fof(f120,plain,(
% 0.16/0.48 sK8_skl=empty_set),
% 0.16/0.48 inference(backward_demodulation,[status(thm)],[f116,f109])).
% 0.16/0.48 fof(f122,plain,(
% 0.16/0.48 ~relation_dom(sK8_skl)=sK8_skl|sQ0_spl),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f116,f117])).
% 0.16/0.48 fof(f131,plain,(
% 0.16/0.48 ![X0]: (X0=relation_dom(sK8_skl)|in(sK1_skl(X0,sK8_skl),X0)|in(ordered_pair(sK1_skl(X0,sK8_skl),sK2_skl(X0,sK8_skl)),sK8_skl))),
% 0.16/0.48 inference(resolution,[status(thm)],[f46,f119])).
% 0.16/0.48 fof(f138,plain,(
% 0.16/0.48 ![X0]: (X0=relation_dom(sK8_skl)|in(sK1_skl(X0,sK8_skl),X0)|~empty(sK8_skl))),
% 0.16/0.48 inference(resolution,[status(thm)],[f131,f93])).
% 0.16/0.48 fof(f154,definition,(
% 0.16/0.48 ![X0]: (sQ6_spl <=> (X0=relation_dom(sK8_skl)|in(sK1_skl(X0,sK8_skl),X0)))),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f155,plain,(
% 0.16/0.48 ![X0]: (X0=relation_dom(sK8_skl)|in(sK1_skl(X0,sK8_skl),X0)|~sQ6_spl)),
% 0.16/0.48 inference(component_clause,[status(thm)],[f154])).
% 0.16/0.48 fof(f157,definition,(
% 0.16/0.48 sQ7_spl <=> (empty(sK8_skl))),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f159,plain,(
% 0.16/0.48 ~empty(sK8_skl)|sQ7_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f157])).
% 0.16/0.48 fof(f160,plain,(
% 0.16/0.48 sQ6_spl|~sQ7_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f138,f154,f157])).
% 0.16/0.48 fof(f166,plain,(
% 0.16/0.48 ![X0]: (X0=relation_dom(sK8_skl)|~empty(X0)|~sQ6_spl)),
% 0.16/0.48 inference(resolution,[status(thm)],[f155,f93])).
% 0.16/0.48 fof(f167,plain,(
% 0.16/0.48 sK8_skl=relation_dom(sK8_skl)|~sQ6_spl),
% 0.16/0.48 inference(resolution,[status(thm)],[f166,f72])).
% 0.16/0.48 fof(f168,plain,(
% 0.16/0.48 $false|sQ0_spl|~sQ6_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f167,f122])).
% 0.16/0.48 fof(f169,plain,(
% 0.16/0.48 sQ0_spl|~sQ6_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f168])).
% 0.16/0.48 fof(f170,plain,(
% 0.16/0.48 ~relation_rng(sK8_skl)=empty_set|sQ1_spl),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f120,f102])).
% 0.16/0.48 fof(f171,plain,(
% 0.16/0.48 ~relation_rng(sK8_skl)=sK8_skl|sQ1_spl),
% 0.16/0.48 inference(forward_demodulation,[status(thm)],[f120,f170])).
% 0.16/0.48 fof(f172,plain,(
% 0.16/0.48 $false|sQ7_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f159,f72])).
% 0.16/0.48 fof(f173,plain,(
% 0.16/0.48 sQ7_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f172])).
% 0.16/0.48 fof(f260,plain,(
% 0.16/0.48 ![X0]: (X0=relation_rng(sK8_skl)|in(sK4_skl(X0,sK8_skl),X0)|in(ordered_pair(sK5_skl(X0,sK8_skl),sK4_skl(X0,sK8_skl)),sK8_skl))),
% 0.16/0.48 inference(resolution,[status(thm)],[f54,f119])).
% 0.16/0.48 fof(f280,definition,(
% 0.16/0.48 sQ16_spl <=> (relation(sK9_skl))),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f282,plain,(
% 0.16/0.48 ~relation(sK9_skl)|sQ16_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f280])).
% 0.16/0.48 fof(f287,definition,(
% 0.16/0.48 sQ18_spl <=> (empty(sK9_skl))),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f288,plain,(
% 0.16/0.48 empty(sK9_skl)|~sQ18_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f287])).
% 0.16/0.48 fof(f291,plain,(
% 0.16/0.48 $false|sQ16_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f282,f75])).
% 0.16/0.48 fof(f292,plain,(
% 0.16/0.48 sQ16_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f291])).
% 0.16/0.48 fof(f294,plain,(
% 0.16/0.48 $false|~sQ18_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f288,f74])).
% 0.16/0.48 fof(f295,plain,(
% 0.16/0.48 ~sQ18_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f294])).
% 0.16/0.48 fof(f319,definition,(
% 0.16/0.48 sQ22_spl <=> (relation_rng(sK8_skl)=sK8_skl)),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f320,plain,(
% 0.16/0.48 relation_rng(sK8_skl)=sK8_skl|~sQ22_spl),
% 0.16/0.48 inference(component_clause,[status(thm)],[f319])).
% 0.16/0.48 fof(f354,plain,(
% 0.16/0.48 ![X0]: (X0=relation_rng(sK8_skl)|in(sK4_skl(X0,sK8_skl),X0)|~empty(sK8_skl))),
% 0.16/0.48 inference(resolution,[status(thm)],[f260,f93])).
% 0.16/0.48 fof(f367,definition,(
% 0.16/0.48 ![X0]: (sQ31_spl <=> (X0=relation_rng(sK8_skl)|in(sK4_skl(X0,sK8_skl),X0)))),
% 0.16/0.48 introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition])).
% 0.16/0.48 fof(f368,plain,(
% 0.16/0.48 ![X0]: (X0=relation_rng(sK8_skl)|in(sK4_skl(X0,sK8_skl),X0)|~sQ31_spl)),
% 0.16/0.48 inference(component_clause,[status(thm)],[f367])).
% 0.16/0.48 fof(f370,plain,(
% 0.16/0.48 sQ31_spl|~sQ7_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f354,f367,f157])).
% 0.16/0.48 fof(f377,plain,(
% 0.16/0.48 ![X0]: (X0=relation_rng(sK8_skl)|~empty(X0)|~sQ31_spl)),
% 0.16/0.48 inference(resolution,[status(thm)],[f368,f93])).
% 0.16/0.48 fof(f382,plain,(
% 0.16/0.48 $false|sQ1_spl|~sQ22_spl),
% 0.16/0.48 inference(forward_subsumption_resolution,[status(thm)],[f320,f171])).
% 0.16/0.48 fof(f383,plain,(
% 0.16/0.48 sQ1_spl|~sQ22_spl),
% 0.16/0.48 inference(contradiction_clause,[status(thm)],[f382])).
% 0.16/0.48 fof(f384,plain,(
% 0.16/0.48 sK8_skl=relation_rng(sK8_skl)|~sQ31_spl),
% 0.16/0.48 inference(resolution,[status(thm)],[f377,f72])).
% 0.16/0.48 fof(f385,plain,(
% 0.16/0.48 sQ22_spl|~sQ31_spl),
% 0.16/0.48 inference(split_clause,[status(thm)],[f384,f319,f367])).
% 0.16/0.48 fof(f386,plain,(
% 0.16/0.48 $false),
% 0.16/0.48 inference(sat_refutation,[status(thm)],[f103,f160,f169,f173,f292,f295,f370,f383,f385])).
% 0.16/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.24/0.52 % Elapsed time: 0.083464 seconds
% 0.24/0.52 % CPU time: 0.216088 seconds
% 0.24/0.52 % Total memory used: 102.701 MB
% 0.24/0.52 % Net memory used: 102.479 MB
%------------------------------------------------------------------------------