%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SEV570+1 : TPTP v9.3.1. Released v9.1.0.
% 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 02:33:44 PM UTC 2026
% Result : Theorem 0.16s 0.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SEV570+1 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n003.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 07:29:16 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.16/0.79 % Refutation found
% 0.16/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.79 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.79 fof(f1,axiom,(
% 0.16/0.79 (! [X,Y] :( subq(X,Y)<=> (! [Z] :( mem(Z,X)=> mem(Z,Y) ) )) )),
% 0.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.79 fof(f4,axiom,(
% 0.16/0.79 (! [X] : ~ mem(X,e) )),
% 0.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.79 fof(f5,axiom,(
% 0.16/0.79 (! [X,Y] :( mem(X,s(Y))<=> X = Y ) )),
% 0.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.79 fof(f6,axiom,(
% 0.16/0.79 (! [X,Y,Z] :( mem(X,u(Y,Z))<=> ( mem(X,Y)| mem(X,Z) ) ) )),
% 0.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.79 fof(f8,axiom,(
% 0.16/0.79 (! [X,Y] : a(X,Y) = u(X,s(Y)) )),
% 0.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.79 fof(f9,axiom,(
% 0.16/0.79 (! [X] : n(X) = a(X,X) )),
% 0.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.79 fof(f26,conjecture,(
% 0.16/0.79 ~ subq(u(a(s(n(s(n(e)))),u(n(e),n(s(n(e))))),s(a(s(n(e)),n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e))))) ),
% 0.16/0.79 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.79 fof(f27,negated_conjecture,(
% 0.16/0.79 ~(~ subq(u(a(s(n(s(n(e)))),u(n(e),n(s(n(e))))),s(a(s(n(e)),n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e))))) )),
% 0.16/0.79 inference(negated_conjecture,[status(cth)],[f26])).
% 0.16/0.79 fof(f28,plain,(
% 0.16/0.79 ![X,Y]: (subq(X,Y)<=>(![Z]: (~mem(Z,X)|mem(Z,Y))))),
% 0.16/0.79 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.16/0.79 fof(f29,plain,(
% 0.16/0.79 ![X,Y]: ((~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y))))&(subq(X,Y)|(?[Z]: (mem(Z,X)&~mem(Z,Y)))))),
% 0.16/0.79 inference(NNF_transformation,[status(thm)],[f28])).
% 0.16/0.79 fof(f30,plain,(
% 0.16/0.79 (![X,Y]: (~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y)))))&(![X,Y]: (subq(X,Y)|(?[Z]: (mem(Z,X)&~mem(Z,Y)))))),
% 0.16/0.79 inference(miniscoping,[status(thm)],[f29])).
% 0.16/0.79 fof(f31,plain,(
% 0.16/0.79 (![X,Y]: (~subq(X,Y)|(![Z]: (~mem(Z,X)|mem(Z,Y)))))&(![X,Y]: (subq(X,Y)|(mem(sK0_skl(Y,X),X)&~mem(sK0_skl(Y,X),Y))))),
% 0.16/0.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Z,sK0_skl(Y,X))],[f30])).
% 0.16/0.79 fof(f32,plain,(
% 0.16/0.79 ![X0,X1,X2]: (~subq(X0,X1)|~mem(X2,X0)|mem(X2,X1))),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f31])).
% 0.16/0.79 fof(f44,plain,(
% 0.16/0.79 ![X0]: (~mem(X0,e))),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.79 fof(f45,plain,(
% 0.16/0.79 ![X,Y]: ((~mem(X,s(Y))|X=Y)&(mem(X,s(Y))|~X=Y))),
% 0.16/0.79 inference(NNF_transformation,[status(thm)],[f5])).
% 0.16/0.79 fof(f46,plain,(
% 0.16/0.79 (![X,Y]: (~mem(X,s(Y))|X=Y))&(![X,Y]: (mem(X,s(Y))|~X=Y))),
% 0.16/0.79 inference(miniscoping,[status(thm)],[f45])).
% 0.16/0.79 fof(f47,plain,(
% 0.16/0.79 ![X0,X1]: (~mem(X0,s(X1))|X0=X1)),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f46])).
% 0.16/0.79 fof(f48,plain,(
% 0.16/0.79 ![X0,X1]: (mem(X0,s(X1))|~X0=X1)),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f46])).
% 0.16/0.79 fof(f49,plain,(
% 0.16/0.79 ![X,Y,Z]: ((~mem(X,u(Y,Z))|(mem(X,Y)|mem(X,Z)))&(mem(X,u(Y,Z))|(~mem(X,Y)&~mem(X,Z))))),
% 0.16/0.79 inference(NNF_transformation,[status(thm)],[f6])).
% 0.16/0.79 fof(f50,plain,(
% 0.16/0.79 (![X,Y,Z]: (~mem(X,u(Y,Z))|(mem(X,Y)|mem(X,Z))))&(![X,Y,Z]: (mem(X,u(Y,Z))|(~mem(X,Y)&~mem(X,Z))))),
% 0.16/0.79 inference(miniscoping,[status(thm)],[f49])).
% 0.16/0.79 fof(f51,plain,(
% 0.16/0.79 ![X0,X1,X2]: (~mem(X0,u(X1,X2))|mem(X0,X1)|mem(X0,X2))),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f50])).
% 0.16/0.79 fof(f52,plain,(
% 0.16/0.79 ![X0,X1,X2]: (mem(X0,u(X1,X2))|~mem(X0,X1))),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f50])).
% 0.16/0.79 fof(f53,plain,(
% 0.16/0.79 ![X0,X1,X2]: (mem(X0,u(X1,X2))|~mem(X0,X2))),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f50])).
% 0.16/0.79 fof(f59,plain,(
% 0.16/0.79 ![X0,X1]: (a(X0,X1)=u(X0,s(X1)))),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f8])).
% 0.16/0.79 fof(f60,plain,(
% 0.16/0.79 ![X0]: (n(X0)=a(X0,X0))),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f9])).
% 0.16/0.79 fof(f169,plain,(
% 0.16/0.79 subq(u(a(s(n(s(n(e)))),u(n(e),n(s(n(e))))),s(a(s(n(e)),n(n(e))))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e)))))),
% 0.16/0.79 inference(cnf_transformation,[status(thm)],[f27])).
% 0.16/0.79 fof(f170,plain,(
% 0.16/0.79 ![X0]: (mem(X0,s(X0)))),
% 0.16/0.79 inference(destructive_equality_resolution,[status(thm)],[f48])).
% 0.16/0.79 fof(f171,plain,(
% 0.16/0.79 subq(a(a(s(n(s(n(e)))),u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e)))),a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e)))))),
% 0.16/0.79 inference(backward_demodulation,[status(thm)],[f59,f169])).
% 0.16/0.79 fof(f181,plain,(
% 0.16/0.79 ![X0,X1,X2]: (mem(X0,a(X1,X2))|~mem(X0,X1))),
% 0.16/0.79 inference(paramodulation,[status(thm)],[f59,f52])).
% 0.16/0.79 fof(f182,plain,(
% 0.16/0.79 ![X0,X1,X2]: (mem(X0,a(X1,X2))|~mem(X0,s(X2)))),
% 0.16/0.79 inference(paramodulation,[status(thm)],[f59,f53])).
% 0.16/0.79 fof(f183,plain,(
% 0.16/0.79 ![X0,X1]: (mem(X0,n(X1))|~mem(X0,X1))),
% 0.16/0.79 inference(paramodulation,[status(thm)],[f60,f181])).
% 0.16/0.79 fof(f184,plain,(
% 0.16/0.79 ![X0,X1]: (mem(X0,a(X1,X0)))),
% 0.16/0.79 inference(resolution,[status(thm)],[f182,f170])).
% 0.16/0.79 fof(f185,plain,(
% 0.16/0.79 ![X0]: (mem(X0,n(X0)))),
% 0.16/0.79 inference(paramodulation,[status(thm)],[f60,f184])).
% 0.16/0.79 fof(f188,plain,(
% 0.16/0.79 ![X0,X1,X2]: (~mem(X0,a(X1,X2))|mem(X0,X1)|mem(X0,s(X2)))),
% 0.16/0.79 inference(paramodulation,[status(thm)],[f59,f51])).
% 0.16/0.79 fof(f191,plain,(
% 0.16/0.79 ![X0,X1]: (~mem(X0,n(X1))|mem(X0,X1)|mem(X0,s(X1)))),
% 0.16/0.79 inference(paramodulation,[status(thm)],[f60,f188])).
% 0.16/0.79 fof(f194,plain,(
% 0.16/0.79 ![X0]: (~mem(X0,a(a(s(n(s(n(e)))),u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e)))))|mem(X0,a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e))))))),
% 0.16/0.79 inference(resolution,[status(thm)],[f32,f171])).
% 0.16/0.79 fof(f196,plain,(
% 0.16/0.79 ![X0]: (mem(X0,a(s(u(n(e),n(s(n(e))))),a(s(n(e)),n(n(e)))))|~mem(X0,a(s(n(s(n(e)))),u(n(e),n(s(n(e)))))))),
% 0.16/0.79 inference(resolution,[status(thm)],[f194,f181])).
% 0.16/0.79 fof(f214,plain,(
% 0.16/0.79 ![X0]: (~mem(X0,a(s(n(s(n(e)))),u(n(e),n(s(n(e))))))|mem(X0,s(u(n(e),n(s(n(e))))))|mem(X0,s(a(s(n(e)),n(n(e))))))),
% 0.16/0.79 inference(resolution,[status(thm)],[f196,f188])).
% 0.16/0.79 fof(f217,plain,(
% 0.16/0.79 ![X0]: (mem(X0,s(u(n(e),n(s(n(e))))))|mem(X0,s(a(s(n(e)),n(n(e)))))|~mem(X0,s(n(s(n(e))))))),
% 0.16/0.79 inference(resolution,[status(thm)],[f214,f181])).
% 0.16/0.79 fof(f226,plain,(
% 0.16/0.79 mem(n(s(n(e))),s(u(n(e),n(s(n(e))))))|mem(n(s(n(e))),s(a(s(n(e)),n(n(e)))))),
% 0.16/0.79 inference(resolution,[status(thm)],[f217,f170])).
% 0.16/0.79 fof(f227,definition,(
% 0.16/0.79 sQ4_spl <=> (mem(n(s(n(e))),s(u(n(e),n(s(n(e)))))))),
% 0.16/0.79 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.16/0.79 fof(f228,plain,(
% 0.16/0.79 mem(n(s(n(e))),s(u(n(e),n(s(n(e))))))|~sQ4_spl),
% 0.16/0.79 inference(component_clause,[status(thm)],[f227])).
% 0.16/0.79 fof(f230,definition,(
% 0.16/0.79 sQ5_spl <=> (mem(n(s(n(e))),s(a(s(n(e)),n(n(e))))))),
% 0.16/0.79 introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition])).
% 0.16/0.79 fof(f231,plain,(
% 0.16/0.79 mem(n(s(n(e))),s(a(s(n(e)),n(n(e)))))|~sQ5_spl),
% 0.16/0.79 inference(component_clause,[status(thm)],[f230])).
% 0.16/0.79 fof(f233,plain,(
% 0.16/0.79 sQ4_spl|sQ5_spl),
% 0.16/0.79 inference(split_clause,[status(thm)],[f226,f227,f230])).
% 0.16/0.79 fof(f235,plain,(
% 0.16/0.79 n(s(n(e)))=u(n(e),n(s(n(e))))|~sQ4_spl),
% 0.16/0.79 inference(resolution,[status(thm)],[f228,f47])).
% 0.16/0.79 fof(f245,plain,(
% 0.16/0.79 ![X0]: (mem(X0,n(s(n(e))))|~mem(X0,n(e))|~sQ4_spl)),
% 0.16/0.79 inference(paramodulation,[status(thm)],[f235,f52])).
% 0.16/0.79 fof(f252,plain,(
% 0.16/0.79 ![X0]: (~mem(X0,n(e))|mem(X0,s(n(e)))|mem(X0,s(s(n(e))))|~sQ4_spl)),
% 0.16/0.79 inference(resolution,[status(thm)],[f245,f191])).
% 0.16/0.79 fof(f267,plain,(
% 0.16/0.79 n(s(n(e)))=a(s(n(e)),n(n(e)))|~sQ5_spl),
% 0.16/0.79 inference(resolution,[status(thm)],[f231,f47])).
% 0.16/0.79 fof(f270,plain,(
% 0.16/0.79 mem(n(n(e)),n(s(n(e))))|~sQ5_spl),
% 0.16/0.79 inference(paramodulation,[status(thm)],[f267,f184])).
% 0.16/0.79 fof(f272,plain,(
% 0.16/0.79 mem(n(n(e)),s(n(e)))|mem(n(n(e)),s(s(n(e))))|~sQ5_spl),
% 0.16/0.79 inference(resolution,[status(thm)],[f270,f191])).
% 0.16/0.79 fof(f273,definition,(
% 0.16/0.79 sQ8_spl <=> (mem(n(n(e)),s(n(e))))),
% 0.16/0.79 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.16/0.79 fof(f274,plain,(
% 0.16/0.79 mem(n(n(e)),s(n(e)))|~sQ8_spl),
% 0.16/0.79 inference(component_clause,[status(thm)],[f273])).
% 0.16/0.79 fof(f275,plain,(
% 0.16/0.79 ~mem(n(n(e)),s(n(e)))|sQ8_spl),
% 0.16/0.79 inference(component_clause,[status(thm)],[f273])).
% 0.16/0.79 fof(f276,definition,(
% 0.16/0.79 sQ9_spl <=> (mem(n(n(e)),s(s(n(e)))))),
% 0.16/0.79 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.16/0.79 fof(f277,plain,(
% 0.16/0.79 mem(n(n(e)),s(s(n(e))))|~sQ9_spl),
% 0.16/0.79 inference(component_clause,[status(thm)],[f276])).
% 0.16/0.79 fof(f279,plain,(
% 0.16/0.79 sQ8_spl|sQ9_spl|~sQ5_spl),
% 0.16/0.79 inference(split_clause,[status(thm)],[f272,f273,f276,f230])).
% 0.16/0.79 fof(f281,plain,(
% 0.16/0.79 n(n(e))=s(n(e))|~sQ9_spl),
% 0.16/0.79 inference(resolution,[status(thm)],[f277,f47])).
% 0.16/0.79 fof(f285,plain,(
% 0.16/0.79 ![X0]: (mem(X0,s(n(e)))|~mem(X0,n(e))|~sQ9_spl)),
% 0.16/0.79 inference(paramodulation,[status(thm)],[f281,f183])).
% 0.16/0.79 fof(f319,plain,(
% 0.16/0.79 n(n(e))=n(e)|~sQ8_spl),
% 0.16/0.79 inference(resolution,[status(thm)],[f274,f47])).
% 0.16/0.79 fof(f323,plain,(
% 0.16/0.79 mem(n(e),n(e))|~sQ8_spl),
% 0.16/0.80 inference(paramodulation,[status(thm)],[f319,f185])).
% 0.16/0.80 fof(f326,plain,(
% 0.16/0.80 mem(n(e),e)|mem(n(e),s(e))|~sQ8_spl),
% 0.16/0.80 inference(resolution,[status(thm)],[f323,f191])).
% 0.16/0.80 fof(f327,definition,(
% 0.16/0.80 sQ12_spl <=> (mem(n(e),e))),
% 0.16/0.80 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.16/0.80 fof(f328,plain,(
% 0.16/0.80 mem(n(e),e)|~sQ12_spl),
% 0.16/0.80 inference(component_clause,[status(thm)],[f327])).
% 0.16/0.80 fof(f330,definition,(
% 0.16/0.80 sQ13_spl <=> (mem(n(e),s(e)))),
% 0.16/0.80 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.16/0.80 fof(f331,plain,(
% 0.16/0.80 mem(n(e),s(e))|~sQ13_spl),
% 0.16/0.80 inference(component_clause,[status(thm)],[f330])).
% 0.16/0.80 fof(f332,plain,(
% 0.16/0.80 ~mem(n(e),s(e))|sQ13_spl),
% 0.16/0.80 inference(component_clause,[status(thm)],[f330])).
% 0.16/0.80 fof(f333,plain,(
% 0.16/0.80 sQ12_spl|sQ13_spl|~sQ8_spl),
% 0.16/0.80 inference(split_clause,[status(thm)],[f326,f327,f330,f273])).
% 0.16/0.80 fof(f334,plain,(
% 0.16/0.80 $false|~sQ12_spl),
% 0.16/0.80 inference(forward_subsumption_resolution,[status(thm)],[f328,f44])).
% 0.16/0.80 fof(f335,plain,(
% 0.16/0.80 ~sQ12_spl),
% 0.16/0.80 inference(contradiction_clause,[status(thm)],[f334])).
% 0.16/0.80 fof(f345,plain,(
% 0.16/0.80 n(e)=e|~sQ13_spl),
% 0.16/0.80 inference(resolution,[status(thm)],[f331,f47])).
% 0.16/0.80 fof(f352,plain,(
% 0.16/0.80 mem(e,e)|~sQ13_spl),
% 0.16/0.80 inference(paramodulation,[status(thm)],[f345,f185])).
% 0.16/0.80 fof(f359,plain,(
% 0.16/0.80 $false|~sQ13_spl),
% 0.16/0.80 inference(forward_subsumption_resolution,[status(thm)],[f352,f44])).
% 0.16/0.80 fof(f360,plain,(
% 0.16/0.80 ~sQ13_spl),
% 0.16/0.80 inference(contradiction_clause,[status(thm)],[f359])).
% 0.16/0.80 fof(f399,plain,(
% 0.16/0.80 ![X0]: (~mem(X0,n(e))|X0=n(e)|~sQ9_spl)),
% 0.16/0.80 inference(resolution,[status(thm)],[f285,f47])).
% 0.16/0.80 fof(f404,plain,(
% 0.16/0.80 e=n(e)|~sQ9_spl),
% 0.16/0.80 inference(resolution,[status(thm)],[f399,f185])).
% 0.16/0.80 fof(f410,plain,(
% 0.16/0.80 ~mem(e,s(e))|~sQ9_spl|sQ13_spl),
% 0.16/0.80 inference(backward_demodulation,[status(thm)],[f404,f332])).
% 0.16/0.80 fof(f421,plain,(
% 0.16/0.80 $false|~sQ9_spl|sQ13_spl),
% 0.16/0.80 inference(forward_subsumption_resolution,[status(thm)],[f410,f170])).
% 0.16/0.80 fof(f422,plain,(
% 0.16/0.80 ~sQ9_spl|sQ13_spl),
% 0.16/0.80 inference(contradiction_clause,[status(thm)],[f421])).
% 0.16/0.80 fof(f646,plain,(
% 0.16/0.80 mem(e,s(n(e)))|mem(e,s(s(n(e))))|~sQ4_spl),
% 0.16/0.80 inference(resolution,[status(thm)],[f252,f185])).
% 0.16/0.80 fof(f648,definition,(
% 0.16/0.80 sQ19_spl <=> (mem(e,s(n(e))))),
% 0.16/0.80 introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition])).
% 0.16/0.80 fof(f649,plain,(
% 0.16/0.80 mem(e,s(n(e)))|~sQ19_spl),
% 0.16/0.80 inference(component_clause,[status(thm)],[f648])).
% 0.16/0.80 fof(f651,definition,(
% 0.16/0.80 sQ20_spl <=> (mem(e,s(s(n(e)))))),
% 0.16/0.80 introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition])).
% 0.16/0.80 fof(f652,plain,(
% 0.16/0.80 mem(e,s(s(n(e))))|~sQ20_spl),
% 0.16/0.80 inference(component_clause,[status(thm)],[f651])).
% 0.16/0.80 fof(f654,plain,(
% 0.16/0.80 sQ19_spl|sQ20_spl|~sQ4_spl),
% 0.16/0.80 inference(split_clause,[status(thm)],[f646,f648,f651,f227])).
% 0.16/0.80 fof(f656,plain,(
% 0.16/0.80 e=n(e)|~sQ19_spl),
% 0.16/0.80 inference(resolution,[status(thm)],[f649,f47])).
% 0.16/0.80 fof(f674,plain,(
% 0.16/0.80 ~mem(n(n(e)),s(e))|~sQ19_spl|sQ8_spl),
% 0.16/0.80 inference(backward_demodulation,[status(thm)],[f656,f275])).
% 0.16/0.80 fof(f706,plain,(
% 0.16/0.80 ~mem(n(e),s(e))|~sQ19_spl|sQ8_spl),
% 0.16/0.80 inference(forward_demodulation,[status(thm)],[f656,f674])).
% 0.16/0.80 fof(f707,plain,(
% 0.16/0.80 ~mem(e,s(e))|~sQ19_spl|sQ8_spl),
% 0.16/0.80 inference(forward_demodulation,[status(thm)],[f656,f706])).
% 0.16/0.80 fof(f708,plain,(
% 0.16/0.80 $false|~sQ19_spl|sQ8_spl),
% 0.16/0.80 inference(forward_subsumption_resolution,[status(thm)],[f707,f170])).
% 0.16/0.80 fof(f709,plain,(
% 0.16/0.80 ~sQ19_spl|sQ8_spl),
% 0.16/0.80 inference(contradiction_clause,[status(thm)],[f708])).
% 0.16/0.80 fof(f711,plain,(
% 0.16/0.80 e=s(n(e))|~sQ20_spl),
% 0.16/0.80 inference(resolution,[status(thm)],[f652,f47])).
% 0.16/0.80 fof(f724,plain,(
% 0.16/0.80 mem(n(e),e)|~sQ20_spl),
% 0.16/0.80 inference(paramodulation,[status(thm)],[f711,f170])).
% 0.16/0.80 fof(f743,plain,(
% 0.16/0.80 sQ12_spl|~sQ20_spl),
% 0.16/0.80 inference(split_clause,[status(thm)],[f724,f327,f651])).
% 0.16/0.80 fof(f744,plain,(
% 0.16/0.80 $false),
% 0.16/0.80 inference(sat_refutation,[status(thm)],[f233,f279,f333,f335,f360,f422,f654,f709,f743])).
% 0.16/0.80 % SZS output end CNFRefutation for theBenchmark.p
% 0.27/0.83 % Elapsed time: 0.386835 seconds
% 0.27/0.83 % CPU time: 2.433817 seconds
% 0.27/0.83 % Total memory used: 140.697 MB
% 0.27/0.83 % Net memory used: 138.755 MB
%------------------------------------------------------------------------------