TSTP Solution File: SWV486+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV486+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:41:49 EDT 2023
% Result : Theorem 18.75s 2.86s
% Output : CNFRefutation 19.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : SWV486+1 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n020.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 11:36:28 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 18.75/2.86 % Refutation found
% 18.75/2.86 % SZS status Theorem for theBenchmark: Theorem is valid
% 18.75/2.86 % SZS output start CNFRefutation for theBenchmark
% 18.75/2.86 fof(f1,axiom,(
% 18.75/2.86 (! [I,J] :( int_leq(I,J)<=> ( int_less(I,J)| I = J ) ) )),
% 18.75/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.75/2.86 fof(f2,axiom,(
% 18.75/2.86 (! [I,J,K] :( ( int_less(I,J)& int_less(J,K) )=> int_less(I,K) ) )),
% 18.75/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.75/2.86 fof(f3,axiom,(
% 18.75/2.86 (! [I,J] :( int_less(I,J)=> I != J ) )),
% 18.75/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.75/2.86 fof(f4,axiom,(
% 18.75/2.86 (! [I,J] :( int_less(I,J)| int_leq(J,I) ) )),
% 18.75/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.75/2.86 fof(f9,axiom,(
% 18.75/2.86 (! [I,J] :( int_less(I,J)<=> (? [K] :( plus(I,K) = J& int_less(int_zero,K) ) )) )),
% 18.75/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.75/2.86 fof(f10,axiom,(
% 18.75/2.86 (! [I] :( int_less(int_zero,I)<=> int_leq(int_one,I) ) )),
% 18.75/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.75/2.86 fof(f12,hypothesis,(
% 18.75/2.86 (! [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 ) )) )) ) )),
% 18.75/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.75/2.86 fof(f13,conjecture,(
% 18.75/2.86 (! [I,J] :( ( int_leq(int_one,I)& int_less(I,J)& int_leq(J,n) )=> a(I,J) = real_zero ) )),
% 18.75/2.86 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 18.75/2.86 fof(f14,negated_conjecture,(
% 18.75/2.86 ~((! [I,J] :( ( int_leq(int_one,I)& int_less(I,J)& int_leq(J,n) )=> a(I,J) = real_zero ) ))),
% 18.75/2.86 inference(negated_conjecture,[status(cth)],[f13])).
% 18.75/2.86 fof(f15,plain,(
% 18.75/2.86 ![I,J]: ((~int_leq(I,J)|(int_less(I,J)|I=J))&(int_leq(I,J)|(~int_less(I,J)&~I=J)))),
% 18.75/2.86 inference(NNF_transformation,[status(esa)],[f1])).
% 18.75/2.86 fof(f16,plain,(
% 18.75/2.86 (![I,J]: (~int_leq(I,J)|(int_less(I,J)|I=J)))&(![I,J]: (int_leq(I,J)|(~int_less(I,J)&~I=J)))),
% 18.75/2.86 inference(miniscoping,[status(esa)],[f15])).
% 18.75/2.86 fof(f17,plain,(
% 18.75/2.86 ![X0,X1]: (~int_leq(X0,X1)|int_less(X0,X1)|X0=X1)),
% 18.75/2.86 inference(cnf_transformation,[status(esa)],[f16])).
% 18.75/2.86 fof(f19,plain,(
% 18.75/2.86 ![X0,X1]: (int_leq(X0,X1)|~X0=X1)),
% 18.75/2.86 inference(cnf_transformation,[status(esa)],[f16])).
% 18.75/2.86 fof(f20,plain,(
% 18.75/2.86 ![I,J,K]: ((~int_less(I,J)|~int_less(J,K))|int_less(I,K))),
% 18.75/2.86 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 18.75/2.86 fof(f21,plain,(
% 18.75/2.86 ![I,K]: ((![J]: (~int_less(I,J)|~int_less(J,K)))|int_less(I,K))),
% 18.75/2.86 inference(miniscoping,[status(esa)],[f20])).
% 18.75/2.86 fof(f22,plain,(
% 18.75/2.86 ![X0,X1,X2]: (~int_less(X0,X1)|~int_less(X1,X2)|int_less(X0,X2))),
% 18.75/2.86 inference(cnf_transformation,[status(esa)],[f21])).
% 18.75/2.86 fof(f23,plain,(
% 18.75/2.86 ![I,J]: (~int_less(I,J)|~I=J)),
% 18.75/2.86 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 18.75/2.86 fof(f24,plain,(
% 18.75/2.86 ![X0,X1]: (~int_less(X0,X1)|~X0=X1)),
% 18.75/2.86 inference(cnf_transformation,[status(esa)],[f23])).
% 18.75/2.86 fof(f25,plain,(
% 18.75/2.86 ![X0,X1]: (int_less(X0,X1)|int_leq(X1,X0))),
% 18.75/2.86 inference(cnf_transformation,[status(esa)],[f4])).
% 18.75/2.86 fof(f31,plain,(
% 18.75/2.86 ![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)))))),
% 18.75/2.86 inference(NNF_transformation,[status(esa)],[f9])).
% 18.75/2.86 fof(f32,plain,(
% 18.75/2.86 (![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)))))),
% 18.75/2.86 inference(miniscoping,[status(esa)],[f31])).
% 18.75/2.86 fof(f33,plain,(
% 18.75/2.86 (![I,J]: (~int_less(I,J)|(plus(I,sk0_0(J,I))=J&int_less(int_zero,sk0_0(J,I)))))&(![I,J]: (int_less(I,J)|(![K]: (~plus(I,K)=J|~int_less(int_zero,K)))))),
% 18.75/2.86 inference(skolemization,[status(esa)],[f32])).
% 18.75/2.86 fof(f34,plain,(
% 18.75/2.86 ![X0,X1]: (~int_less(X0,X1)|plus(X0,sk0_0(X1,X0))=X1)),
% 18.75/2.86 inference(cnf_transformation,[status(esa)],[f33])).
% 18.75/2.86 fof(f35,plain,(
% 18.75/2.86 ![X0,X1]: (~int_less(X0,X1)|int_less(int_zero,sk0_0(X1,X0)))),
% 18.75/2.86 inference(cnf_transformation,[status(esa)],[f33])).
% 18.75/2.86 fof(f37,plain,(
% 18.75/2.86 ![I]: ((~int_less(int_zero,I)|int_leq(int_one,I))&(int_less(int_zero,I)|~int_leq(int_one,I)))),
% 18.75/2.86 inference(NNF_transformation,[status(esa)],[f10])).
% 18.75/2.86 fof(f38,plain,(
% 18.75/2.86 (![I]: (~int_less(int_zero,I)|int_leq(int_one,I)))&(![I]: (int_less(int_zero,I)|~int_leq(int_one,I)))),
% 18.75/2.86 inference(miniscoping,[status(esa)],[f37])).
% 18.75/2.86 fof(f39,plain,(
% 18.75/2.86 ![X0]: (~int_less(int_zero,X0)|int_leq(int_one,X0))),
% 18.75/2.86 inference(cnf_transformation,[status(esa)],[f38])).
% 18.75/2.86 fof(f40,plain,(
% 18.75/2.86 ![X0]: (int_less(int_zero,X0)|~int_leq(int_one,X0))),
% 18.75/2.86 inference(cnf_transformation,[status(esa)],[f38])).
% 18.75/2.86 fof(f42,plain,(
% 18.75/2.86 ![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))))))),
% 18.75/2.86 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 18.75/2.86 fof(f44,plain,(
% 18.75/2.86 ![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)),
% 18.75/2.87 inference(cnf_transformation,[status(esa)],[f42])).
% 18.75/2.87 fof(f45,plain,(
% 18.75/2.87 (?[I,J]: (((int_leq(int_one,I)&int_less(I,J))&int_leq(J,n))&~a(I,J)=real_zero))),
% 18.75/2.87 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 18.75/2.87 fof(f46,plain,(
% 18.75/2.87 (((int_leq(int_one,sk0_1)&int_less(sk0_1,sk0_2))&int_leq(sk0_2,n))&~a(sk0_1,sk0_2)=real_zero)),
% 18.75/2.87 inference(skolemization,[status(esa)],[f45])).
% 18.75/2.87 fof(f47,plain,(
% 18.75/2.87 int_leq(int_one,sk0_1)),
% 18.75/2.87 inference(cnf_transformation,[status(esa)],[f46])).
% 18.75/2.87 fof(f48,plain,(
% 18.75/2.87 int_less(sk0_1,sk0_2)),
% 18.75/2.87 inference(cnf_transformation,[status(esa)],[f46])).
% 18.75/2.87 fof(f49,plain,(
% 18.75/2.87 int_leq(sk0_2,n)),
% 18.75/2.87 inference(cnf_transformation,[status(esa)],[f46])).
% 18.75/2.87 fof(f50,plain,(
% 18.75/2.87 ~a(sk0_1,sk0_2)=real_zero),
% 18.75/2.87 inference(cnf_transformation,[status(esa)],[f46])).
% 18.75/2.87 fof(f51,plain,(
% 18.75/2.87 ![X0]: (int_leq(X0,X0))),
% 18.75/2.87 inference(destructive_equality_resolution,[status(esa)],[f19])).
% 18.75/2.87 fof(f52,plain,(
% 18.75/2.87 ![X0]: (~int_less(X0,X0))),
% 18.75/2.87 inference(destructive_equality_resolution,[status(esa)],[f24])).
% 18.75/2.87 fof(f55,plain,(
% 18.75/2.87 ![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)),
% 18.75/2.87 inference(destructive_equality_resolution,[status(esa)],[f44])).
% 18.75/2.87 fof(f56,plain,(
% 18.75/2.87 ![X0,X1]: (~int_less(X0,X1)|~int_less(X1,X0))),
% 18.75/2.87 inference(resolution,[status(thm)],[f22,f52])).
% 18.75/2.87 fof(f57,plain,(
% 18.75/2.87 ~int_less(sk0_2,sk0_1)),
% 18.75/2.87 inference(resolution,[status(thm)],[f56,f48])).
% 18.75/2.87 fof(f58,plain,(
% 18.75/2.87 ![X0,X1,X2]: (~int_less(X0,X1)|~int_less(X1,X2)|~int_less(X2,X0))),
% 18.75/2.87 inference(resolution,[status(thm)],[f56,f22])).
% 18.75/2.87 fof(f59,plain,(
% 18.75/2.87 ![X0,X1]: (~int_less(X0,X1)|~int_leq(X1,X0)|X1=X0)),
% 18.75/2.87 inference(resolution,[status(thm)],[f56,f17])).
% 18.75/2.87 fof(f60,plain,(
% 18.75/2.87 ![X0]: (~int_less(sk0_2,X0)|~int_less(X0,sk0_1))),
% 18.75/2.87 inference(resolution,[status(thm)],[f57,f22])).
% 18.75/2.87 fof(f72,plain,(
% 18.75/2.87 ![X0,X1]: (~int_leq(X0,X1)|X0=X1|~int_leq(X1,X0)|X1=X0)),
% 18.75/2.87 inference(resolution,[status(thm)],[f59,f17])).
% 18.75/2.87 fof(f73,plain,(
% 18.75/2.87 ![X0,X1]: (~int_leq(X0,X1)|X0=X1|~int_leq(X1,X0))),
% 18.75/2.87 inference(duplicate_literals_removal,[status(esa)],[f72])).
% 18.75/2.87 fof(f76,plain,(
% 18.75/2.87 spl0_2 <=> int_leq(n,sk0_2)),
% 18.75/2.87 introduced(split_symbol_definition)).
% 18.75/2.87 fof(f78,plain,(
% 18.75/2.87 ~int_leq(n,sk0_2)|spl0_2),
% 18.75/2.87 inference(component_clause,[status(thm)],[f76])).
% 18.75/2.87 fof(f79,plain,(
% 18.75/2.87 spl0_3 <=> n=sk0_2),
% 18.75/2.87 introduced(split_symbol_definition)).
% 18.75/2.87 fof(f80,plain,(
% 18.75/2.87 n=sk0_2|~spl0_3),
% 18.75/2.87 inference(component_clause,[status(thm)],[f79])).
% 18.75/2.87 fof(f82,plain,(
% 18.75/2.87 ~int_leq(n,sk0_2)|n=sk0_2),
% 18.75/2.87 inference(resolution,[status(thm)],[f73,f49])).
% 18.75/2.87 fof(f83,plain,(
% 18.75/2.87 ~spl0_2|spl0_3),
% 18.75/2.87 inference(split_clause,[status(thm)],[f82,f76,f79])).
% 18.75/2.87 fof(f145,plain,(
% 18.75/2.87 int_less(int_zero,sk0_1)),
% 18.75/2.87 inference(resolution,[status(thm)],[f40,f47])).
% 18.75/2.87 fof(f150,plain,(
% 18.75/2.87 ![X0]: (~int_less(sk0_1,X0)|~int_less(X0,int_zero))),
% 18.75/2.87 inference(resolution,[status(thm)],[f145,f58])).
% 18.75/2.87 fof(f160,plain,(
% 18.75/2.87 ~int_less(sk0_1,int_zero)),
% 18.75/2.87 inference(resolution,[status(thm)],[f145,f56])).
% 18.75/2.87 fof(f182,plain,(
% 18.75/2.87 int_less(int_zero,sk0_0(sk0_2,sk0_1))),
% 18.75/2.87 inference(resolution,[status(thm)],[f35,f48])).
% 18.75/2.87 fof(f189,plain,(
% 18.75/2.87 int_less(sk0_2,n)|spl0_2),
% 18.75/2.87 inference(resolution,[status(thm)],[f78,f25])).
% 18.75/2.87 fof(f329,plain,(
% 18.75/2.87 plus(sk0_1,sk0_0(sk0_2,sk0_1))=sk0_2),
% 18.75/2.87 inference(resolution,[status(thm)],[f48,f34])).
% 18.75/2.87 fof(f379,plain,(
% 18.75/2.87 ~int_less(sk0_2,int_zero)),
% 18.75/2.87 inference(resolution,[status(thm)],[f150,f48])).
% 18.75/2.87 fof(f394,plain,(
% 18.75/2.87 spl0_20 <=> int_leq(sk0_2,int_zero)),
% 18.75/2.87 introduced(split_symbol_definition)).
% 18.75/2.87 fof(f396,plain,(
% 18.75/2.87 ~int_leq(sk0_2,int_zero)|spl0_20),
% 18.75/2.87 inference(component_clause,[status(thm)],[f394])).
% 18.75/2.87 fof(f397,plain,(
% 18.75/2.87 spl0_21 <=> sk0_2=int_zero),
% 18.75/2.87 introduced(split_symbol_definition)).
% 18.75/2.87 fof(f398,plain,(
% 18.75/2.87 sk0_2=int_zero|~spl0_21),
% 18.75/2.87 inference(component_clause,[status(thm)],[f397])).
% 18.75/2.87 fof(f400,plain,(
% 18.75/2.87 ~int_leq(sk0_2,int_zero)|sk0_2=int_zero),
% 18.75/2.87 inference(resolution,[status(thm)],[f379,f17])).
% 18.75/2.87 fof(f401,plain,(
% 18.75/2.87 ~spl0_20|spl0_21),
% 18.75/2.87 inference(split_clause,[status(thm)],[f400,f394,f397])).
% 18.75/2.87 fof(f495,plain,(
% 18.75/2.87 int_less(int_zero,sk0_2)|spl0_20),
% 18.75/2.87 inference(resolution,[status(thm)],[f396,f25])).
% 18.75/2.87 fof(f598,plain,(
% 18.75/2.87 spl0_27 <=> int_less(int_zero,sk0_0(sk0_2,sk0_1))),
% 18.75/2.87 introduced(split_symbol_definition)).
% 18.75/2.87 fof(f600,plain,(
% 18.75/2.87 ~int_less(int_zero,sk0_0(sk0_2,sk0_1))|spl0_27),
% 18.75/2.87 inference(component_clause,[status(thm)],[f598])).
% 18.75/2.87 fof(f601,plain,(
% 18.75/2.87 spl0_28 <=> int_leq(int_one,sk0_1)),
% 18.75/2.87 introduced(split_symbol_definition)).
% 18.75/2.87 fof(f603,plain,(
% 18.75/2.87 ~int_leq(int_one,sk0_1)|spl0_28),
% 18.75/2.87 inference(component_clause,[status(thm)],[f601])).
% 18.75/2.87 fof(f604,plain,(
% 18.75/2.87 spl0_29 <=> a(sk0_1,sk0_2)=real_zero),
% 18.75/2.87 introduced(split_symbol_definition)).
% 18.75/2.87 fof(f605,plain,(
% 18.75/2.87 a(sk0_1,sk0_2)=real_zero|~spl0_29),
% 18.75/2.87 inference(component_clause,[status(thm)],[f604])).
% 18.75/2.87 fof(f609,plain,(
% 18.75/2.87 $false|spl0_28),
% 18.75/2.87 inference(forward_subsumption_resolution,[status(thm)],[f603,f47])).
% 18.75/2.87 fof(f610,plain,(
% 18.75/2.87 spl0_28),
% 18.75/2.87 inference(contradiction_clause,[status(thm)],[f609])).
% 18.75/2.87 fof(f611,plain,(
% 18.75/2.87 $false|spl0_27),
% 18.75/2.87 inference(forward_subsumption_resolution,[status(thm)],[f600,f182])).
% 18.75/2.87 fof(f612,plain,(
% 18.75/2.87 spl0_27),
% 18.75/2.87 inference(contradiction_clause,[status(thm)],[f611])).
% 18.75/2.87 fof(f1060,plain,(
% 18.75/2.87 ~int_less(n,sk0_1)|~spl0_3),
% 18.75/2.87 inference(forward_demodulation,[status(thm)],[f80,f57])).
% 18.75/2.87 fof(f1158,plain,(
% 18.75/2.87 ![X0,X1,X2]: (~int_leq(int_one,X0)|~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|int_less(n,X0))),
% 18.75/2.87 inference(resolution,[status(thm)],[f55,f25])).
% 18.75/2.87 fof(f1253,plain,(
% 18.75/2.87 ~int_less(n,sk0_1)|spl0_2),
% 18.75/2.87 inference(resolution,[status(thm)],[f189,f60])).
% 18.75/2.87 fof(f1439,plain,(
% 18.75/2.87 spl0_65 <=> int_leq(int_one,sk0_2)),
% 18.75/2.87 introduced(split_symbol_definition)).
% 18.75/2.87 fof(f1440,plain,(
% 18.75/2.87 int_leq(int_one,sk0_2)|~spl0_65),
% 18.75/2.87 inference(component_clause,[status(thm)],[f1439])).
% 18.75/2.87 fof(f1441,plain,(
% 18.75/2.87 ~int_leq(int_one,sk0_2)|spl0_65),
% 18.75/2.87 inference(component_clause,[status(thm)],[f1439])).
% 18.75/2.87 fof(f2040,plain,(
% 18.75/2.87 ~int_less(int_zero,sk0_2)|spl0_65),
% 18.75/2.87 inference(resolution,[status(thm)],[f1441,f39])).
% 18.75/2.87 fof(f2041,plain,(
% 18.75/2.87 $false|spl0_20|spl0_65),
% 18.75/2.87 inference(forward_subsumption_resolution,[status(thm)],[f2040,f495])).
% 18.75/2.87 fof(f2042,plain,(
% 18.75/2.87 spl0_20|spl0_65),
% 18.75/2.87 inference(contradiction_clause,[status(thm)],[f2041])).
% 18.75/2.87 fof(f2099,plain,(
% 18.75/2.87 int_less(sk0_1,int_zero)|~spl0_21),
% 18.75/2.87 inference(backward_demodulation,[status(thm)],[f398,f48])).
% 18.75/2.87 fof(f2100,plain,(
% 18.75/2.87 $false|~spl0_21),
% 18.75/2.87 inference(forward_subsumption_resolution,[status(thm)],[f2099,f160])).
% 18.75/2.87 fof(f2101,plain,(
% 18.75/2.87 ~spl0_21),
% 18.75/2.87 inference(contradiction_clause,[status(thm)],[f2100])).
% 18.75/2.87 fof(f2488,plain,(
% 18.75/2.87 spl0_145 <=> int_leq(sk0_2,n)),
% 18.75/2.87 introduced(split_symbol_definition)).
% 18.75/2.87 fof(f2490,plain,(
% 18.75/2.87 ~int_leq(sk0_2,n)|spl0_145),
% 18.75/2.87 inference(component_clause,[status(thm)],[f2488])).
% 18.75/2.87 fof(f2494,plain,(
% 18.75/2.87 $false|spl0_145),
% 18.75/2.87 inference(forward_subsumption_resolution,[status(thm)],[f2490,f49])).
% 18.75/2.87 fof(f2495,plain,(
% 18.75/2.87 spl0_145),
% 18.75/2.87 inference(contradiction_clause,[status(thm)],[f2494])).
% 18.75/2.87 fof(f2652,plain,(
% 18.75/2.87 plus(sk0_1,sk0_0(sk0_2,sk0_1))=sk0_2),
% 18.75/2.87 inference(resolution,[status(thm)],[f48,f34])).
% 18.75/2.87 fof(f2825,plain,(
% 18.75/2.87 spl0_164 <=> int_leq(int_one,plus(sk0_1,sk0_0(sk0_2,sk0_1)))),
% 18.75/2.87 introduced(split_symbol_definition)).
% 19.43/2.89 fof(f2827,plain,(
% 19.43/2.89 ~int_leq(int_one,plus(sk0_1,sk0_0(sk0_2,sk0_1)))|spl0_164),
% 19.43/2.89 inference(component_clause,[status(thm)],[f2825])).
% 19.43/2.89 fof(f2831,plain,(
% 19.43/2.89 spl0_166 <=> int_less(n,sk0_1)),
% 19.43/2.89 introduced(split_symbol_definition)).
% 19.43/2.89 fof(f2832,plain,(
% 19.43/2.89 int_less(n,sk0_1)|~spl0_166),
% 19.43/2.89 inference(component_clause,[status(thm)],[f2831])).
% 19.43/2.89 fof(f2836,plain,(
% 19.43/2.89 spl0_167 <=> ~int_leq(int_one,X0)|~int_leq(X0,sk0_1)|a(X0,plus(X0,sk0_0(sk0_2,sk0_1)))=real_zero),
% 19.43/2.89 introduced(split_symbol_definition)).
% 19.43/2.89 fof(f2837,plain,(
% 19.43/2.89 ![X0]: (~int_leq(int_one,X0)|~int_leq(X0,sk0_1)|a(X0,plus(X0,sk0_0(sk0_2,sk0_1)))=real_zero|~spl0_167)),
% 19.43/2.89 inference(component_clause,[status(thm)],[f2836])).
% 19.43/2.89 fof(f2839,plain,(
% 19.43/2.89 ![X0]: (~int_leq(int_one,sk0_1)|~int_leq(int_one,plus(sk0_1,sk0_0(sk0_2,sk0_1)))|~int_leq(sk0_2,n)|~int_less(int_zero,sk0_0(sk0_2,sk0_1))|~int_leq(int_one,X0)|~int_leq(X0,sk0_1)|a(X0,plus(X0,sk0_0(sk0_2,sk0_1)))=real_zero|int_less(n,sk0_1))),
% 19.43/2.89 inference(paramodulation,[status(thm)],[f329,f1158])).
% 19.43/2.89 fof(f2840,plain,(
% 19.43/2.89 ~spl0_28|~spl0_164|~spl0_145|~spl0_27|spl0_167|spl0_166),
% 19.43/2.89 inference(split_clause,[status(thm)],[f2839,f601,f2825,f2488,f598,f2836,f2831])).
% 19.43/2.89 fof(f2843,plain,(
% 19.43/2.89 ~int_leq(int_one,sk0_2)|spl0_164),
% 19.43/2.89 inference(forward_demodulation,[status(thm)],[f329,f2827])).
% 19.43/2.89 fof(f2844,plain,(
% 19.43/2.89 $false|~spl0_65|spl0_164),
% 19.43/2.89 inference(forward_subsumption_resolution,[status(thm)],[f2843,f1440])).
% 19.43/2.89 fof(f2845,plain,(
% 19.43/2.89 ~spl0_65|spl0_164),
% 19.43/2.89 inference(contradiction_clause,[status(thm)],[f2844])).
% 19.43/2.89 fof(f3057,plain,(
% 19.43/2.89 $false|spl0_2|~spl0_166),
% 19.43/2.89 inference(forward_subsumption_resolution,[status(thm)],[f2832,f1253])).
% 19.43/2.89 fof(f3058,plain,(
% 19.43/2.89 spl0_2|~spl0_166),
% 19.43/2.89 inference(contradiction_clause,[status(thm)],[f3057])).
% 19.43/2.89 fof(f3839,plain,(
% 19.43/2.89 $false|~spl0_3|~spl0_166),
% 19.43/2.89 inference(forward_subsumption_resolution,[status(thm)],[f2832,f1060])).
% 19.43/2.89 fof(f3840,plain,(
% 19.43/2.89 ~spl0_3|~spl0_166),
% 19.43/2.89 inference(contradiction_clause,[status(thm)],[f3839])).
% 19.43/2.89 fof(f3872,plain,(
% 19.43/2.89 spl0_213 <=> int_leq(sk0_1,sk0_1)),
% 19.43/2.89 introduced(split_symbol_definition)).
% 19.43/2.89 fof(f3874,plain,(
% 19.43/2.89 ~int_leq(sk0_1,sk0_1)|spl0_213),
% 19.43/2.89 inference(component_clause,[status(thm)],[f3872])).
% 19.43/2.89 fof(f3895,plain,(
% 19.43/2.89 $false|spl0_213),
% 19.43/2.89 inference(forward_subsumption_resolution,[status(thm)],[f3874,f51])).
% 19.43/2.89 fof(f3896,plain,(
% 19.43/2.89 spl0_213),
% 19.43/2.89 inference(contradiction_clause,[status(thm)],[f3895])).
% 19.43/2.89 fof(f13651,plain,(
% 19.43/2.89 ~int_leq(int_one,sk0_1)|~int_leq(sk0_1,sk0_1)|a(sk0_1,sk0_2)=real_zero|~spl0_167),
% 19.43/2.89 inference(paramodulation,[status(thm)],[f2652,f2837])).
% 19.43/2.89 fof(f13652,plain,(
% 19.43/2.89 ~spl0_28|~spl0_213|spl0_29|~spl0_167),
% 19.43/2.89 inference(split_clause,[status(thm)],[f13651,f601,f3872,f604,f2836])).
% 19.43/2.89 fof(f13660,plain,(
% 19.43/2.89 $false|~spl0_29),
% 19.43/2.89 inference(forward_subsumption_resolution,[status(thm)],[f605,f50])).
% 19.43/2.89 fof(f13661,plain,(
% 19.43/2.89 ~spl0_29),
% 19.43/2.89 inference(contradiction_clause,[status(thm)],[f13660])).
% 19.43/2.89 fof(f13662,plain,(
% 19.43/2.89 $false),
% 19.43/2.89 inference(sat_refutation,[status(thm)],[f83,f401,f610,f612,f2042,f2101,f2495,f2840,f2845,f3058,f3840,f3896,f13652,f13661])).
% 19.43/2.89 % SZS output end CNFRefutation for theBenchmark.p
% 19.43/2.90 % Elapsed time: 2.574461 seconds
% 19.43/2.90 % CPU time: 19.535879 seconds
% 19.43/2.90 % Memory used: 139.180 MB
%------------------------------------------------------------------------------