%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SWV486+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 02:50:59 PM UTC 2026
% Result : Theorem 0.38s 0.79s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV486+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n009.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 08:53:42 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 0.38/0.79 % Refutation found
% 0.38/0.79 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.38/0.79 % SZS output start CNFRefutation for theBenchmark
% 0.38/0.79 fof(f1,axiom,(
% 0.38/0.79 (! [I,J] :( int_leq(I,J)<=> ( int_less(I,J)| I = J ) ) )),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f2,axiom,(
% 0.38/0.79 (! [I,J,K] :( ( int_less(I,J)& int_less(J,K) )=> int_less(I,K) ) )),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f3,axiom,(
% 0.38/0.79 (! [I,J] :( int_less(I,J)=> I != J ) )),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f4,axiom,(
% 0.38/0.79 (! [I,J] :( int_less(I,J)| int_leq(J,I) ) )),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f5,axiom,(
% 0.38/0.79 int_less(int_zero,int_one) ),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f7,axiom,(
% 0.38/0.79 (! [I] : plus(I,int_zero) = I )),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f9,axiom,(
% 0.38/0.79 (! [I,J] :( int_less(I,J)<=> (? [K] :( plus(I,K) = J& int_less(int_zero,K) ) )) )),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f10,axiom,(
% 0.38/0.79 (! [I] :( int_less(int_zero,I)<=> int_leq(int_one,I) ) )),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f12,hypothesis,(
% 0.38/0.79 (! [I,J] :( ( int_leq(int_one,I)& int_leq(I,n)& int_leq(int_one,J)& int_leq(J,n) )=> ( (! [C] :( ( int_less(int_zero,C)& I = plus(J,C) )=> (! [K] :( ( int_leq(int_one,K)& int_leq(K,J) )=> a(plus(K,C),K) = qr(plus(K,C),K) ) )))& (! [C] :( ( int_less(int_zero,C)& J = plus(I,C) )=> (! [K] :( ( int_leq(int_one,K)& int_leq(K,I) )=> a(K,plus(K,C)) = real_zero ) )) )) ) )),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f13,conjecture,(
% 0.38/0.79 (! [I,J] :( ( int_leq(int_one,I)& int_less(I,J)& int_leq(J,n) )=> a(I,J) = real_zero ) )),
% 0.38/0.79 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.38/0.79 fof(f14,negated_conjecture,(
% 0.38/0.79 ~((! [I,J] :( ( int_leq(int_one,I)& int_less(I,J)& int_leq(J,n) )=> a(I,J) = real_zero ) ))),
% 0.38/0.79 inference(negated_conjecture,[status(cth)],[f13])).
% 0.38/0.79 fof(f15,plain,(
% 0.38/0.79 ![I,J]: ((~int_leq(I,J)|(int_less(I,J)|I=J))&(int_leq(I,J)|(~int_less(I,J)&~I=J)))),
% 0.38/0.79 inference(NNF_transformation,[status(thm)],[f1])).
% 0.38/0.79 fof(f16,plain,(
% 0.38/0.79 (![I,J]: (~int_leq(I,J)|(int_less(I,J)|I=J)))&(![I,J]: (int_leq(I,J)|(~int_less(I,J)&~I=J)))),
% 0.38/0.79 inference(miniscoping,[status(thm)],[f15])).
% 0.38/0.79 fof(f17,plain,(
% 0.38/0.79 ![X0,X1]: (~int_leq(X0,X1)|int_less(X0,X1)|X0=X1)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f16])).
% 0.38/0.79 fof(f18,plain,(
% 0.38/0.79 ![X0,X1]: (int_leq(X0,X1)|~int_less(X0,X1))),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f16])).
% 0.38/0.79 fof(f19,plain,(
% 0.38/0.79 ![X0,X1]: (int_leq(X0,X1)|~X0=X1)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f16])).
% 0.38/0.79 fof(f20,plain,(
% 0.38/0.79 ![I,J,K]: ((~int_less(I,J)|~int_less(J,K))|int_less(I,K))),
% 0.38/0.79 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.38/0.79 fof(f21,plain,(
% 0.38/0.79 ![I,K]: ((![J]: (~int_less(I,J)|~int_less(J,K)))|int_less(I,K))),
% 0.38/0.79 inference(miniscoping,[status(thm)],[f20])).
% 0.38/0.79 fof(f22,plain,(
% 0.38/0.79 ![X0,X1,X2]: (~int_less(X0,X1)|~int_less(X1,X2)|int_less(X0,X2))),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f21])).
% 0.38/0.79 fof(f23,plain,(
% 0.38/0.79 ![I,J]: (~int_less(I,J)|~I=J)),
% 0.38/0.79 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.38/0.79 fof(f24,plain,(
% 0.38/0.79 ![X0,X1]: (~int_less(X0,X1)|~X0=X1)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f23])).
% 0.38/0.79 fof(f25,plain,(
% 0.38/0.79 ![X0,X1]: (int_less(X0,X1)|int_leq(X1,X0))),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f4])).
% 0.38/0.79 fof(f26,plain,(
% 0.38/0.79 int_less(int_zero,int_one)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f5])).
% 0.38/0.79 fof(f28,plain,(
% 0.38/0.79 ![X0]: (plus(X0,int_zero)=X0)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f7])).
% 0.38/0.79 fof(f31,plain,(
% 0.38/0.79 ![I,J]: ((~int_less(I,J)|(?[K]: (plus(I,K)=J&int_less(int_zero,K))))&(int_less(I,J)|(![K]: (~plus(I,K)=J|~int_less(int_zero,K)))))),
% 0.38/0.79 inference(NNF_transformation,[status(thm)],[f9])).
% 0.38/0.79 fof(f32,plain,(
% 0.38/0.79 (![I,J]: (~int_less(I,J)|(?[K]: (plus(I,K)=J&int_less(int_zero,K)))))&(![I,J]: (int_less(I,J)|(![K]: (~plus(I,K)=J|~int_less(int_zero,K)))))),
% 0.38/0.79 inference(miniscoping,[status(thm)],[f31])).
% 0.38/0.79 fof(f33,plain,(
% 0.38/0.79 (![I,J]: (~int_less(I,J)|(plus(I,sK0_skl(J,I))=J&int_less(int_zero,sK0_skl(J,I)))))&(![I,J]: (int_less(I,J)|(![K]: (~plus(I,K)=J|~int_less(int_zero,K)))))),
% 0.38/0.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(K,sK0_skl(J,I))],[f32])).
% 0.38/0.79 fof(f34,plain,(
% 0.38/0.79 ![X0,X1]: (~int_less(X0,X1)|plus(X0,sK0_skl(X1,X0))=X1)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f33])).
% 0.38/0.79 fof(f35,plain,(
% 0.38/0.79 ![X0,X1]: (~int_less(X0,X1)|int_less(int_zero,sK0_skl(X1,X0)))),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f33])).
% 0.38/0.79 fof(f36,plain,(
% 0.38/0.79 ![X0,X1,X2]: (int_less(X0,X1)|~plus(X0,X2)=X1|~int_less(int_zero,X2))),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f33])).
% 0.38/0.79 fof(f37,plain,(
% 0.38/0.79 ![I]: ((~int_less(int_zero,I)|int_leq(int_one,I))&(int_less(int_zero,I)|~int_leq(int_one,I)))),
% 0.38/0.79 inference(NNF_transformation,[status(thm)],[f10])).
% 0.38/0.79 fof(f38,plain,(
% 0.38/0.79 (![I]: (~int_less(int_zero,I)|int_leq(int_one,I)))&(![I]: (int_less(int_zero,I)|~int_leq(int_one,I)))),
% 0.38/0.79 inference(miniscoping,[status(thm)],[f37])).
% 0.38/0.79 fof(f39,plain,(
% 0.38/0.79 ![X0]: (~int_less(int_zero,X0)|int_leq(int_one,X0))),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f38])).
% 0.38/0.79 fof(f40,plain,(
% 0.38/0.79 ![X0]: (int_less(int_zero,X0)|~int_leq(int_one,X0))),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f38])).
% 0.38/0.79 fof(f42,plain,(
% 0.38/0.79 ![I,J]: ((((~int_leq(int_one,I)|~int_leq(I,n))|~int_leq(int_one,J))|~int_leq(J,n))|((![C]: ((~int_less(int_zero,C)|~I=plus(J,C))|(![K]: ((~int_leq(int_one,K)|~int_leq(K,J))|a(plus(K,C),K)=qr(plus(K,C),K)))))&(![C]: ((~int_less(int_zero,C)|~J=plus(I,C))|(![K]: ((~int_leq(int_one,K)|~int_leq(K,I))|a(K,plus(K,C))=real_zero))))))),
% 0.38/0.79 inference(pre_NNF_transformation,[status(thm)],[f12])).
% 0.38/0.79 fof(f43,plain,(
% 0.38/0.79 ![X0,X1,X2,X3]: (~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,X1)|~int_leq(X1,n)|~int_less(int_zero,X2)|~X0=plus(X1,X2)|~int_leq(int_one,X3)|~int_leq(X3,X1)|a(plus(X3,X2),X3)=qr(plus(X3,X2),X3))),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f42])).
% 0.38/0.79 fof(f44,plain,(
% 0.38/0.79 ![X0,X1,X2,X3]: (~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,X1)|~int_leq(X1,n)|~int_less(int_zero,X2)|~X1=plus(X0,X2)|~int_leq(int_one,X3)|~int_leq(X3,X0)|a(X3,plus(X3,X2))=real_zero)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f42])).
% 0.38/0.79 fof(f45,plain,(
% 0.38/0.79 (?[I,J]: (((int_leq(int_one,I)&int_less(I,J))&int_leq(J,n))&~a(I,J)=real_zero))),
% 0.38/0.79 inference(pre_NNF_transformation,[status(thm)],[f14])).
% 0.38/0.79 fof(f46,plain,(
% 0.38/0.79 (((int_leq(int_one,sK1_skl)&int_less(sK1_skl,sK2_skl))&int_leq(sK2_skl,n))&~a(sK1_skl,sK2_skl)=real_zero)),
% 0.38/0.79 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(I,sK1_skl),skolemize(J,sK2_skl)],[f45])).
% 0.38/0.79 fof(f47,plain,(
% 0.38/0.79 int_leq(int_one,sK1_skl)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f46])).
% 0.38/0.79 fof(f48,plain,(
% 0.38/0.79 int_less(sK1_skl,sK2_skl)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f46])).
% 0.38/0.79 fof(f49,plain,(
% 0.38/0.79 int_leq(sK2_skl,n)),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f46])).
% 0.38/0.79 fof(f50,plain,(
% 0.38/0.79 ~a(sK1_skl,sK2_skl)=real_zero),
% 0.38/0.79 inference(cnf_transformation,[status(thm)],[f46])).
% 0.38/0.79 fof(f51,plain,(
% 0.38/0.79 ![X0]: (int_leq(X0,X0))),
% 0.38/0.79 inference(destructive_equality_resolution,[status(thm)],[f19])).
% 0.38/0.79 fof(f52,plain,(
% 0.38/0.79 ![X0]: (~int_less(X0,X0))),
% 0.38/0.79 inference(destructive_equality_resolution,[status(thm)],[f24])).
% 0.38/0.79 fof(f53,plain,(
% 0.38/0.79 ![X0,X1]: (int_less(X0,plus(X0,X1))|~int_less(int_zero,X1))),
% 0.38/0.79 inference(destructive_equality_resolution,[status(thm)],[f36])).
% 0.38/0.79 fof(f54,plain,(
% 0.38/0.79 ![X0,X1,X2]: (~int_leq(int_one,plus(X0,X1))|~int_leq(plus(X0,X1),n)|~int_leq(int_one,X0)|~int_leq(X0,n)|~int_less(int_zero,X1)|~int_leq(int_one,X2)|~int_leq(X2,X0)|a(plus(X2,X1),X2)=qr(plus(X2,X1),X2))),
% 0.38/0.79 inference(destructive_equality_resolution,[status(thm)],[f43])).
% 0.38/0.79 fof(f55,plain,(
% 0.38/0.79 ![X0,X1,X2]: (~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,plus(X0,X1))|~int_leq(plus(X0,X1),n)|~int_less(int_zero,X1)|~int_leq(int_one,X2)|~int_leq(X2,X0)|a(X2,plus(X2,X1))=real_zero)),
% 0.38/0.79 inference(destructive_equality_resolution,[status(thm)],[f44])).
% 0.38/0.79 fof(f56,plain,(
% 0.38/0.79 int_less(int_one,sK1_skl)|int_one=sK1_skl),
% 0.38/0.79 inference(resolution,[status(thm)],[f17,f47])).
% 0.38/0.79 fof(f58,definition,(
% 0.38/0.79 sQ0_spl <=> (int_less(int_one,sK1_skl))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f59,plain,(
% 0.38/0.79 int_less(int_one,sK1_skl)|~sQ0_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f58])).
% 0.38/0.79 fof(f61,definition,(
% 0.38/0.79 sQ1_spl <=> (int_one=sK1_skl)),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f62,plain,(
% 0.38/0.79 int_one=sK1_skl|~sQ1_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f61])).
% 0.38/0.79 fof(f64,plain,(
% 0.38/0.79 sQ0_spl|sQ1_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f56,f58,f61])).
% 0.38/0.79 fof(f65,plain,(
% 0.38/0.79 int_leq(sK1_skl,sK2_skl)),
% 0.38/0.79 inference(resolution,[status(thm)],[f18,f48])).
% 0.38/0.79 fof(f67,plain,(
% 0.38/0.79 ![X0]: (~int_less(int_one,X0)|int_less(int_zero,X0))),
% 0.38/0.79 inference(resolution,[status(thm)],[f22,f26])).
% 0.38/0.79 fof(f68,plain,(
% 0.38/0.79 ![X0]: (~int_less(sK2_skl,X0)|int_less(sK1_skl,X0))),
% 0.38/0.79 inference(resolution,[status(thm)],[f22,f48])).
% 0.38/0.79 fof(f70,plain,(
% 0.38/0.79 ![X0]: (~int_less(X0,sK1_skl)|int_less(X0,sK2_skl))),
% 0.38/0.79 inference(resolution,[status(thm)],[f22,f48])).
% 0.38/0.79 fof(f75,plain,(
% 0.38/0.79 ![X0,X1]: (int_leq(X0,X1)|int_leq(X1,X0))),
% 0.38/0.79 inference(resolution,[status(thm)],[f25,f18])).
% 0.38/0.79 fof(f85,plain,(
% 0.38/0.79 int_less(sK2_skl,n)|sK2_skl=n),
% 0.38/0.79 inference(resolution,[status(thm)],[f49,f17])).
% 0.38/0.79 fof(f86,definition,(
% 0.38/0.79 sQ2_spl <=> (int_less(sK2_skl,n))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f87,plain,(
% 0.38/0.79 int_less(sK2_skl,n)|~sQ2_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f86])).
% 0.38/0.79 fof(f89,definition,(
% 0.38/0.79 sQ3_spl <=> (sK2_skl=n)),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f90,plain,(
% 0.38/0.79 sK2_skl=n|~sQ3_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f89])).
% 0.38/0.79 fof(f92,plain,(
% 0.38/0.79 sQ2_spl|sQ3_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f85,f86,f89])).
% 0.38/0.79 fof(f104,plain,(
% 0.38/0.79 ![X0,X1]: (~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,plus(X0,X1))|~int_leq(plus(X0,X1),n)|~int_less(int_zero,X1)|~int_leq(sK1_skl,X0)|a(sK1_skl,plus(sK1_skl,X1))=real_zero)),
% 0.38/0.79 inference(resolution,[status(thm)],[f55,f47])).
% 0.38/0.79 fof(f105,plain,(
% 0.38/0.79 ![X0]: (~int_leq(int_one,int_one)|~int_leq(int_one,n)|~int_leq(int_one,plus(int_one,X0))|~int_leq(plus(int_one,X0),n)|~int_less(int_zero,X0)|a(int_one,plus(int_one,X0))=real_zero)),
% 0.38/0.79 inference(resolution,[status(thm)],[f55,f51])).
% 0.38/0.79 fof(f114,definition,(
% 0.38/0.79 sQ6_spl <=> (int_leq(int_one,int_one))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f116,plain,(
% 0.38/0.79 ~int_leq(int_one,int_one)|sQ6_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f114])).
% 0.38/0.79 fof(f117,definition,(
% 0.38/0.79 sQ7_spl <=> (int_leq(int_one,n))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f119,plain,(
% 0.38/0.79 ~int_leq(int_one,n)|sQ7_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f117])).
% 0.38/0.79 fof(f120,definition,(
% 0.38/0.79 ![X0]: (sQ8_spl <=> (~int_leq(int_one,plus(int_one,X0))|~int_leq(plus(int_one,X0),n)|~int_less(int_zero,X0)|a(int_one,plus(int_one,X0))=real_zero))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f123,plain,(
% 0.38/0.79 ~sQ6_spl|~sQ7_spl|sQ8_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f105,f114,f117,f120])).
% 0.38/0.79 fof(f125,definition,(
% 0.38/0.79 sQ9_spl <=> (int_leq(int_one,sK2_skl))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f126,plain,(
% 0.38/0.79 int_leq(int_one,sK2_skl)|~sQ9_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f125])).
% 0.38/0.79 fof(f127,plain,(
% 0.38/0.79 ~int_leq(int_one,sK2_skl)|sQ9_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f125])).
% 0.38/0.79 fof(f128,definition,(
% 0.38/0.79 sQ10_spl <=> (int_leq(sK2_skl,n))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f130,plain,(
% 0.38/0.79 ~int_leq(sK2_skl,n)|sQ10_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f128])).
% 0.38/0.79 fof(f134,definition,(
% 0.38/0.79 sQ12_spl <=> (int_leq(int_one,sK1_skl))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f136,plain,(
% 0.38/0.79 ~int_leq(int_one,sK1_skl)|sQ12_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f134])).
% 0.38/0.79 fof(f138,definition,(
% 0.38/0.79 sQ13_spl <=> (int_leq(n,n))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f140,plain,(
% 0.38/0.79 ~int_leq(n,n)|sQ13_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f138])).
% 0.38/0.79 fof(f145,definition,(
% 0.38/0.79 sQ15_spl <=> (int_leq(sK1_skl,n))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f147,plain,(
% 0.38/0.79 ~int_leq(sK1_skl,n)|sQ15_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f145])).
% 0.38/0.79 fof(f160,plain,(
% 0.38/0.79 $false|sQ6_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f116,f51])).
% 0.38/0.79 fof(f161,plain,(
% 0.38/0.79 sQ6_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f160])).
% 0.38/0.79 fof(f162,plain,(
% 0.38/0.79 $false|sQ12_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f136,f47])).
% 0.38/0.79 fof(f163,plain,(
% 0.38/0.79 sQ12_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f162])).
% 0.38/0.79 fof(f215,plain,(
% 0.38/0.79 plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl))=sK2_skl),
% 0.38/0.79 inference(resolution,[status(thm)],[f34,f48])).
% 0.38/0.79 fof(f216,plain,(
% 0.38/0.79 ![X0,X1]: (plus(X0,sK0_skl(X1,X0))=X1|int_leq(X1,X0))),
% 0.38/0.79 inference(resolution,[status(thm)],[f34,f25])).
% 0.38/0.79 fof(f221,plain,(
% 0.38/0.79 int_less(int_zero,sK0_skl(sK2_skl,sK1_skl))),
% 0.38/0.79 inference(resolution,[status(thm)],[f35,f48])).
% 0.38/0.79 fof(f224,plain,(
% 0.38/0.79 int_less(sK1_skl,n)|~sQ2_spl),
% 0.38/0.79 inference(resolution,[status(thm)],[f68,f87])).
% 0.38/0.79 fof(f226,plain,(
% 0.38/0.79 int_less(int_zero,sK1_skl)|~sQ0_spl),
% 0.38/0.79 inference(resolution,[status(thm)],[f67,f59])).
% 0.38/0.79 fof(f234,plain,(
% 0.38/0.79 int_leq(sK1_skl,n)|~sQ2_spl),
% 0.38/0.79 inference(resolution,[status(thm)],[f224,f18])).
% 0.38/0.79 fof(f235,plain,(
% 0.38/0.79 $false|sQ15_spl|~sQ2_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f234,f147])).
% 0.38/0.79 fof(f236,plain,(
% 0.38/0.79 sQ15_spl|~sQ2_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f235])).
% 0.38/0.79 fof(f260,plain,(
% 0.38/0.79 int_leq(int_zero,sK1_skl)|~sQ0_spl),
% 0.38/0.79 inference(resolution,[status(thm)],[f226,f18])).
% 0.38/0.79 fof(f266,plain,(
% 0.38/0.79 ![X0,X1]: (int_less(X0,plus(X0,X1))|int_leq(X1,int_zero))),
% 0.38/0.79 inference(resolution,[status(thm)],[f53,f25])).
% 0.38/0.79 fof(f269,plain,(
% 0.38/0.79 ![X0]: (int_leq(int_one,X0)|int_leq(X0,int_zero))),
% 0.38/0.79 inference(resolution,[status(thm)],[f39,f25])).
% 0.38/0.79 fof(f270,plain,(
% 0.38/0.79 int_less(int_zero,sK1_skl)),
% 0.38/0.79 inference(resolution,[status(thm)],[f40,f47])).
% 0.38/0.79 fof(f273,plain,(
% 0.38/0.79 int_less(int_zero,sK1_skl)|int_zero=sK1_skl|~sQ0_spl),
% 0.38/0.79 inference(resolution,[status(thm)],[f260,f17])).
% 0.38/0.79 fof(f275,definition,(
% 0.38/0.79 sQ25_spl <=> (int_less(int_zero,sK1_skl))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f276,plain,(
% 0.38/0.79 int_less(int_zero,sK1_skl)|~sQ25_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f275])).
% 0.38/0.79 fof(f278,definition,(
% 0.38/0.79 sQ26_spl <=> (int_zero=sK1_skl)),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f279,plain,(
% 0.38/0.79 int_zero=sK1_skl|~sQ26_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f278])).
% 0.38/0.79 fof(f281,plain,(
% 0.38/0.79 sQ25_spl|sQ26_spl|~sQ0_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f273,f275,f278,f58])).
% 0.38/0.79 fof(f287,plain,(
% 0.38/0.79 ~int_leq(sK1_skl,sK2_skl)|~sQ1_spl|sQ9_spl),
% 0.38/0.79 inference(backward_demodulation,[status(thm)],[f62,f127])).
% 0.38/0.79 fof(f314,plain,(
% 0.38/0.79 int_less(sK1_skl,sK1_skl)|~sQ26_spl),
% 0.38/0.79 inference(forward_demodulation,[status(thm)],[f279,f270])).
% 0.38/0.79 fof(f315,plain,(
% 0.38/0.79 $false|~sQ26_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f314,f52])).
% 0.38/0.79 fof(f316,plain,(
% 0.38/0.79 ~sQ26_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f315])).
% 0.38/0.79 fof(f317,plain,(
% 0.38/0.79 $false|~sQ1_spl|sQ9_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f287,f65])).
% 0.38/0.79 fof(f318,plain,(
% 0.38/0.79 ~sQ1_spl|sQ9_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f317])).
% 0.38/0.79 fof(f388,plain,(
% 0.38/0.79 int_less(int_zero,sK2_skl)|~sQ25_spl),
% 0.38/0.79 inference(resolution,[status(thm)],[f70,f276])).
% 0.38/0.79 fof(f417,plain,(
% 0.38/0.79 ~int_leq(sK1_skl,sK2_skl)|~sQ3_spl|sQ15_spl),
% 0.38/0.79 inference(backward_demodulation,[status(thm)],[f90,f147])).
% 0.38/0.79 fof(f427,plain,(
% 0.38/0.79 $false|~sQ3_spl|sQ15_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f417,f65])).
% 0.38/0.79 fof(f428,plain,(
% 0.38/0.79 ~sQ3_spl|sQ15_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f427])).
% 0.38/0.79 fof(f429,plain,(
% 0.38/0.79 $false|sQ10_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f130,f49])).
% 0.38/0.79 fof(f430,plain,(
% 0.38/0.79 sQ10_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f429])).
% 0.38/0.79 fof(f437,plain,(
% 0.38/0.79 ~int_leq(int_one,sK2_skl)|~sQ3_spl|sQ7_spl),
% 0.38/0.79 inference(backward_demodulation,[status(thm)],[f90,f119])).
% 0.38/0.79 fof(f488,definition,(
% 0.38/0.79 sQ33_spl <=> (int_leq(sK1_skl,sK2_skl))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f490,plain,(
% 0.38/0.79 ~int_leq(sK1_skl,sK2_skl)|sQ33_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f488])).
% 0.38/0.79 fof(f515,plain,(
% 0.38/0.79 $false|sQ33_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f490,f65])).
% 0.38/0.79 fof(f516,plain,(
% 0.38/0.79 sQ33_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f515])).
% 0.38/0.79 fof(f547,plain,(
% 0.38/0.79 ![X0]: (int_leq(n,plus(n,X0))|~int_leq(int_one,n)|~int_leq(n,n)|~int_leq(int_one,plus(n,X0))|~int_less(int_zero,X0)|~int_leq(int_one,plus(n,X0))|a(plus(n,X0),plus(plus(n,X0),X0))=real_zero)),
% 0.38/0.79 inference(resolution,[status(thm)],[f75,f55])).
% 0.38/0.79 fof(f570,definition,(
% 0.38/0.79 ![X0]: (sQ40_spl <=> (int_leq(n,plus(n,X0))|~int_leq(int_one,plus(n,X0))|~int_less(int_zero,X0)|~int_leq(int_one,plus(n,X0))|a(plus(n,X0),plus(plus(n,X0),X0))=real_zero))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f573,plain,(
% 0.38/0.79 sQ40_spl|~sQ7_spl|~sQ13_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f547,f570,f117,f138])).
% 0.38/0.79 fof(f579,plain,(
% 0.38/0.79 int_leq(int_one,sK2_skl)|~sQ25_spl),
% 0.38/0.79 inference(resolution,[status(thm)],[f388,f39])).
% 0.38/0.79 fof(f589,plain,(
% 0.38/0.79 sQ9_spl|~sQ25_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f579,f125,f275])).
% 0.38/0.79 fof(f634,plain,(
% 0.38/0.79 ~sQ9_spl|~sQ3_spl|sQ7_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f437,f125,f89,f117])).
% 0.38/0.79 fof(f692,plain,(
% 0.38/0.79 ![X0]: (~int_leq(int_one,plus(n,X0))|~int_leq(int_one,n)|~int_leq(n,n)|~int_less(int_zero,X0)|~int_leq(int_one,plus(n,X0))|a(plus(plus(n,X0),X0),plus(n,X0))=qr(plus(plus(n,X0),X0),plus(n,X0))|int_leq(n,plus(n,X0)))),
% 0.38/0.79 inference(resolution,[status(thm)],[f54,f75])).
% 0.38/0.79 fof(f697,plain,(
% 0.38/0.79 ![X0]: (~int_leq(int_one,plus(int_one,X0))|~int_leq(plus(int_one,X0),n)|~int_leq(int_one,int_one)|~int_leq(int_one,n)|~int_less(int_zero,X0)|a(plus(int_one,X0),int_one)=qr(plus(int_one,X0),int_one))),
% 0.38/0.79 inference(resolution,[status(thm)],[f54,f75])).
% 0.38/0.79 fof(f717,definition,(
% 0.38/0.79 ![X0]: (sQ44_spl <=> (~int_leq(int_one,plus(n,X0))|~int_less(int_zero,X0)|~int_leq(int_one,plus(n,X0))|a(plus(plus(n,X0),X0),plus(n,X0))=qr(plus(plus(n,X0),X0),plus(n,X0))|int_leq(n,plus(n,X0))))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f720,plain,(
% 0.38/0.79 sQ44_spl|~sQ7_spl|~sQ13_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f692,f717,f117,f138])).
% 0.38/0.79 fof(f722,definition,(
% 0.38/0.79 ![X0]: (sQ45_spl <=> (~int_leq(int_one,plus(int_one,X0))|~int_leq(plus(int_one,X0),n)|~int_less(int_zero,X0)|a(plus(int_one,X0),int_one)=qr(plus(int_one,X0),int_one)))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f725,plain,(
% 0.38/0.79 sQ45_spl|~sQ6_spl|~sQ7_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f697,f722,f114,f117])).
% 0.38/0.79 fof(f858,definition,(
% 0.38/0.79 sQ59_spl <=> (int_leq(int_one,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl))))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f860,plain,(
% 0.38/0.79 ~int_leq(int_one,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))|sQ59_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f858])).
% 0.38/0.79 fof(f861,definition,(
% 0.38/0.79 sQ60_spl <=> (int_less(int_zero,sK0_skl(sK2_skl,sK1_skl)))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f863,plain,(
% 0.38/0.79 ~int_less(int_zero,sK0_skl(sK2_skl,sK1_skl))|sQ60_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f861])).
% 0.38/0.79 fof(f872,plain,(
% 0.38/0.79 $false|sQ13_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f140,f51])).
% 0.38/0.79 fof(f873,plain,(
% 0.38/0.79 sQ13_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f872])).
% 0.38/0.79 fof(f874,plain,(
% 0.38/0.79 $false|sQ60_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f863,f221])).
% 0.38/0.79 fof(f875,plain,(
% 0.38/0.79 sQ60_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f874])).
% 0.38/0.79 fof(f876,plain,(
% 0.38/0.79 ~int_leq(int_one,sK2_skl)|sQ59_spl),
% 0.38/0.79 inference(forward_demodulation,[status(thm)],[f215,f860])).
% 0.38/0.79 fof(f877,plain,(
% 0.38/0.79 $false|~sQ9_spl|sQ59_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f876,f126])).
% 0.38/0.79 fof(f878,plain,(
% 0.38/0.79 ~sQ9_spl|sQ59_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f877])).
% 0.38/0.79 fof(f880,plain,(
% 0.38/0.79 ![X0]: (plus(n,sK0_skl(plus(n,X0),n))=plus(n,X0)|~int_leq(int_one,plus(n,X0))|~int_leq(int_one,n)|~int_leq(n,n)|~int_less(int_zero,X0)|~int_leq(int_one,plus(n,X0))|a(plus(plus(n,X0),X0),plus(n,X0))=qr(plus(plus(n,X0),X0),plus(n,X0)))),
% 0.38/0.79 inference(resolution,[status(thm)],[f216,f54])).
% 0.38/0.79 fof(f882,plain,(
% 0.38/0.79 ![X0]: (plus(n,sK0_skl(plus(n,X0),n))=plus(n,X0)|~int_leq(int_one,n)|~int_leq(n,n)|~int_leq(int_one,plus(n,X0))|~int_less(int_zero,X0)|~int_leq(int_one,plus(n,X0))|a(plus(n,X0),plus(plus(n,X0),X0))=real_zero)),
% 0.38/0.79 inference(resolution,[status(thm)],[f216,f55])).
% 0.38/0.79 fof(f899,definition,(
% 0.38/0.79 ![X0]: (sQ63_spl <=> (plus(n,sK0_skl(plus(n,X0),n))=plus(n,X0)|~int_leq(int_one,plus(n,X0))|~int_less(int_zero,X0)|~int_leq(int_one,plus(n,X0))|a(plus(plus(n,X0),X0),plus(n,X0))=qr(plus(plus(n,X0),X0),plus(n,X0))))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f902,plain,(
% 0.38/0.79 sQ63_spl|~sQ7_spl|~sQ13_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f880,f899,f117,f138])).
% 0.38/0.79 fof(f903,definition,(
% 0.38/0.79 ![X0]: (sQ64_spl <=> (plus(n,sK0_skl(plus(n,X0),n))=plus(n,X0)|~int_leq(int_one,plus(n,X0))|~int_less(int_zero,X0)|~int_leq(int_one,plus(n,X0))|a(plus(n,X0),plus(plus(n,X0),X0))=real_zero))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f906,plain,(
% 0.38/0.79 sQ64_spl|~sQ7_spl|~sQ13_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f882,f903,f117,f138])).
% 0.38/0.79 fof(f929,plain,(
% 0.38/0.79 ![X0]: (int_less(X0,X0)|int_leq(int_zero,int_zero))),
% 0.38/0.79 inference(paramodulation,[status(thm)],[f28,f266])).
% 0.38/0.79 fof(f938,definition,(
% 0.38/0.79 ![X0]: (sQ67_spl <=> (int_less(X0,X0)))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f939,plain,(
% 0.38/0.79 ![X0]: (int_less(X0,X0)|~sQ67_spl)),
% 0.38/0.79 inference(component_clause,[status(thm)],[f938])).
% 0.38/0.79 fof(f941,definition,(
% 0.38/0.79 sQ68_spl <=> (int_leq(int_zero,int_zero))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f944,plain,(
% 0.38/0.79 sQ67_spl|sQ68_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f929,f938,f941])).
% 0.38/0.79 fof(f945,plain,(
% 0.38/0.79 $false|~sQ67_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f939,f52])).
% 0.38/0.79 fof(f946,plain,(
% 0.38/0.79 ~sQ67_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f945])).
% 0.38/0.79 fof(f1072,plain,(
% 0.38/0.79 ![X0,X1]: (int_leq(X0,int_zero)|~int_leq(int_one,plus(X0,X1))|~int_leq(plus(X0,X1),n)|~int_leq(int_one,X0)|~int_leq(X0,n)|~int_less(int_zero,X1)|~int_leq(int_one,int_one)|a(plus(int_one,X1),int_one)=qr(plus(int_one,X1),int_one))),
% 0.38/0.79 inference(resolution,[status(thm)],[f269,f54])).
% 0.38/0.79 fof(f1074,plain,(
% 0.38/0.79 ![X0,X1]: (int_leq(X0,int_zero)|~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,plus(X0,X1))|~int_leq(plus(X0,X1),n)|~int_less(int_zero,X1)|~int_leq(int_one,int_one)|a(int_one,plus(int_one,X1))=real_zero)),
% 0.38/0.79 inference(resolution,[status(thm)],[f269,f55])).
% 0.38/0.79 fof(f1090,definition,(
% 0.38/0.79 ![X0,X1]: (sQ74_spl <=> (int_leq(X0,int_zero)|~int_leq(int_one,plus(X0,X1))|~int_leq(plus(X0,X1),n)|~int_leq(int_one,X0)|~int_leq(X0,n)|~int_less(int_zero,X1)|a(plus(int_one,X1),int_one)=qr(plus(int_one,X1),int_one)))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f1093,plain,(
% 0.38/0.79 sQ74_spl|~sQ6_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f1072,f1090,f114])).
% 0.38/0.79 fof(f1095,definition,(
% 0.38/0.79 ![X0,X1]: (sQ75_spl <=> (int_leq(X0,int_zero)|~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,plus(X0,X1))|~int_leq(plus(X0,X1),n)|~int_less(int_zero,X1)|a(int_one,plus(int_one,X1))=real_zero))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f1098,plain,(
% 0.38/0.79 sQ75_spl|~sQ6_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f1074,f1095,f114])).
% 0.38/0.79 fof(f1219,plain,(
% 0.38/0.79 ~int_leq(int_one,sK1_skl)|~int_leq(sK1_skl,n)|~int_leq(int_one,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))|~int_leq(sK2_skl,n)|~int_less(int_zero,sK0_skl(sK2_skl,sK1_skl))|~int_leq(sK1_skl,sK1_skl)|a(sK1_skl,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))=real_zero),
% 0.38/0.79 inference(paramodulation,[status(thm)],[f215,f104])).
% 0.38/0.79 fof(f1224,definition,(
% 0.38/0.79 sQ87_spl <=> (int_leq(sK1_skl,sK1_skl))),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f1226,plain,(
% 0.38/0.79 ~int_leq(sK1_skl,sK1_skl)|sQ87_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f1224])).
% 0.38/0.79 fof(f1227,definition,(
% 0.38/0.79 sQ88_spl <=> (a(sK1_skl,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))=real_zero)),
% 0.38/0.79 introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition])).
% 0.38/0.79 fof(f1228,plain,(
% 0.38/0.79 a(sK1_skl,plus(sK1_skl,sK0_skl(sK2_skl,sK1_skl)))=real_zero|~sQ88_spl),
% 0.38/0.79 inference(component_clause,[status(thm)],[f1227])).
% 0.38/0.79 fof(f1230,plain,(
% 0.38/0.79 ~sQ12_spl|~sQ15_spl|~sQ59_spl|~sQ10_spl|~sQ60_spl|~sQ87_spl|sQ88_spl),
% 0.38/0.79 inference(split_clause,[status(thm)],[f1219,f134,f145,f858,f128,f861,f1224,f1227])).
% 0.38/0.79 fof(f1242,plain,(
% 0.38/0.79 $false|sQ87_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1226,f51])).
% 0.38/0.79 fof(f1243,plain,(
% 0.38/0.79 sQ87_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f1242])).
% 0.38/0.79 fof(f1244,plain,(
% 0.38/0.79 a(sK1_skl,sK2_skl)=real_zero|~sQ88_spl),
% 0.38/0.79 inference(forward_demodulation,[status(thm)],[f215,f1228])).
% 0.38/0.79 fof(f1245,plain,(
% 0.38/0.79 $false|~sQ88_spl),
% 0.38/0.79 inference(forward_subsumption_resolution,[status(thm)],[f1244,f50])).
% 0.38/0.79 fof(f1246,plain,(
% 0.38/0.79 ~sQ88_spl),
% 0.38/0.79 inference(contradiction_clause,[status(thm)],[f1245])).
% 0.38/0.79 fof(f1247,plain,(
% 0.38/0.79 $false),
% 0.38/0.79 inference(sat_refutation,[status(thm)],[f64,f92,f123,f161,f163,f236,f281,f316,f318,f428,f430,f516,f573,f589,f634,f720,f725,f873,f875,f878,f902,f906,f944,f946,f1093,f1098,f1230,f1243,f1246])).
% 0.38/0.79 % SZS output end CNFRefutation for theBenchmark.p
% 2.36/0.82 % Elapsed time: 0.374537 seconds
% 2.36/0.82 % CPU time: 2.585517 seconds
% 2.36/0.82 % Total memory used: 120.236 MB
% 2.36/0.82 % Net memory used: 117.015 MB
%------------------------------------------------------------------------------