TSTP Solution File: SWV486+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV486+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 2.16s 0.67s
% Output : CNFRefutation 2.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV486+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:58:03 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 2.16/0.67 % Refutation found
% 2.16/0.67 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.16/0.67 % SZS output start CNFRefutation for theBenchmark
% 2.16/0.67 fof(f1,axiom,(
% 2.16/0.67 (! [I,J] :( int_leq(I,J)<=> ( int_less(I,J)| I = J ) ) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f2,axiom,(
% 2.16/0.67 (! [I,J,K] :( ( int_less(I,J)& int_less(J,K) )=> int_less(I,K) ) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f3,axiom,(
% 2.16/0.67 (! [I,J] :( int_less(I,J)=> I != J ) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f4,axiom,(
% 2.16/0.67 (! [I,J] :( int_less(I,J)| int_leq(J,I) ) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f5,axiom,(
% 2.16/0.67 int_less(int_zero,int_one) ),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f6,axiom,(
% 2.16/0.67 (! [I,J] : plus(I,J) = plus(J,I) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f7,axiom,(
% 2.16/0.67 (! [I] : plus(I,int_zero) = I )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f8,axiom,(
% 2.16/0.67 (! [I1,J1,I2,J2] :( ( int_less(I1,J1)& int_leq(I2,J2) )=> int_leq(plus(I1,I2),plus(J1,J2)) ) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f9,axiom,(
% 2.16/0.67 (! [I,J] :( int_less(I,J)<=> (? [K] :( plus(I,K) = J& int_less(int_zero,K) ) )) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f10,axiom,(
% 2.16/0.67 (! [I] :( int_less(int_zero,I)<=> int_leq(int_one,I) ) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f12,hypothesis,(
% 2.16/0.67 (! [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) = real_zero ) )))& (! [K] :( ( int_leq(int_one,K)& int_leq(K,J) )=> a(K,K) = real_one ))& (! [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 ) )) )) ) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f13,conjecture,(
% 2.16/0.67 (! [I,J] :( ( int_leq(int_one,I)& int_less(I,J)& int_leq(J,n) )=> a(I,J) = real_zero ) )),
% 2.16/0.67 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.16/0.67 fof(f14,negated_conjecture,(
% 2.16/0.67 ~((! [I,J] :( ( int_leq(int_one,I)& int_less(I,J)& int_leq(J,n) )=> a(I,J) = real_zero ) ))),
% 2.16/0.67 inference(negated_conjecture,[status(cth)],[f13])).
% 2.16/0.67 fof(f15,plain,(
% 2.16/0.67 ![I,J]: ((~int_leq(I,J)|(int_less(I,J)|I=J))&(int_leq(I,J)|(~int_less(I,J)&~I=J)))),
% 2.16/0.67 inference(NNF_transformation,[status(esa)],[f1])).
% 2.16/0.67 fof(f16,plain,(
% 2.16/0.67 (![I,J]: (~int_leq(I,J)|(int_less(I,J)|I=J)))&(![I,J]: (int_leq(I,J)|(~int_less(I,J)&~I=J)))),
% 2.16/0.67 inference(miniscoping,[status(esa)],[f15])).
% 2.16/0.67 fof(f17,plain,(
% 2.16/0.67 ![X0,X1]: (~int_leq(X0,X1)|int_less(X0,X1)|X0=X1)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f16])).
% 2.16/0.67 fof(f18,plain,(
% 2.16/0.67 ![X0,X1]: (int_leq(X0,X1)|~int_less(X0,X1))),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f16])).
% 2.16/0.67 fof(f19,plain,(
% 2.16/0.67 ![X0,X1]: (int_leq(X0,X1)|~X0=X1)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f16])).
% 2.16/0.67 fof(f20,plain,(
% 2.16/0.67 ![I,J,K]: ((~int_less(I,J)|~int_less(J,K))|int_less(I,K))),
% 2.16/0.67 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.16/0.67 fof(f21,plain,(
% 2.16/0.67 ![I,K]: ((![J]: (~int_less(I,J)|~int_less(J,K)))|int_less(I,K))),
% 2.16/0.67 inference(miniscoping,[status(esa)],[f20])).
% 2.16/0.67 fof(f22,plain,(
% 2.16/0.67 ![X0,X1,X2]: (~int_less(X0,X1)|~int_less(X1,X2)|int_less(X0,X2))),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f21])).
% 2.16/0.67 fof(f23,plain,(
% 2.16/0.67 ![I,J]: (~int_less(I,J)|~I=J)),
% 2.16/0.67 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 2.16/0.67 fof(f24,plain,(
% 2.16/0.67 ![X0,X1]: (~int_less(X0,X1)|~X0=X1)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f23])).
% 2.16/0.67 fof(f25,plain,(
% 2.16/0.67 ![X0,X1]: (int_less(X0,X1)|int_leq(X1,X0))),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f4])).
% 2.16/0.67 fof(f26,plain,(
% 2.16/0.67 int_less(int_zero,int_one)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f5])).
% 2.16/0.67 fof(f27,plain,(
% 2.16/0.67 ![X0,X1]: (plus(X0,X1)=plus(X1,X0))),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f6])).
% 2.16/0.67 fof(f28,plain,(
% 2.16/0.67 ![X0]: (plus(X0,int_zero)=X0)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f7])).
% 2.16/0.67 fof(f29,plain,(
% 2.16/0.67 ![I1,J1,I2,J2]: ((~int_less(I1,J1)|~int_leq(I2,J2))|int_leq(plus(I1,I2),plus(J1,J2)))),
% 2.16/0.67 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.16/0.67 fof(f30,plain,(
% 2.16/0.67 ![X0,X1,X2,X3]: (~int_less(X0,X1)|~int_leq(X2,X3)|int_leq(plus(X0,X2),plus(X1,X3)))),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f29])).
% 2.16/0.67 fof(f31,plain,(
% 2.16/0.67 ![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)))))),
% 2.16/0.67 inference(NNF_transformation,[status(esa)],[f9])).
% 2.16/0.67 fof(f32,plain,(
% 2.16/0.67 (![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)))))),
% 2.16/0.67 inference(miniscoping,[status(esa)],[f31])).
% 2.16/0.67 fof(f33,plain,(
% 2.16/0.67 (![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)))))),
% 2.16/0.67 inference(skolemization,[status(esa)],[f32])).
% 2.16/0.67 fof(f34,plain,(
% 2.16/0.67 ![X0,X1]: (~int_less(X0,X1)|plus(X0,sk0_0(X1,X0))=X1)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f33])).
% 2.16/0.67 fof(f35,plain,(
% 2.16/0.67 ![X0,X1]: (~int_less(X0,X1)|int_less(int_zero,sk0_0(X1,X0)))),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f33])).
% 2.16/0.67 fof(f36,plain,(
% 2.16/0.67 ![X0,X1,X2]: (int_less(X0,X1)|~plus(X0,X2)=X1|~int_less(int_zero,X2))),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f33])).
% 2.16/0.67 fof(f37,plain,(
% 2.16/0.67 ![I]: ((~int_less(int_zero,I)|int_leq(int_one,I))&(int_less(int_zero,I)|~int_leq(int_one,I)))),
% 2.16/0.67 inference(NNF_transformation,[status(esa)],[f10])).
% 2.16/0.67 fof(f38,plain,(
% 2.16/0.67 (![I]: (~int_less(int_zero,I)|int_leq(int_one,I)))&(![I]: (int_less(int_zero,I)|~int_leq(int_one,I)))),
% 2.16/0.67 inference(miniscoping,[status(esa)],[f37])).
% 2.16/0.67 fof(f39,plain,(
% 2.16/0.67 ![X0]: (~int_less(int_zero,X0)|int_leq(int_one,X0))),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f38])).
% 2.16/0.67 fof(f40,plain,(
% 2.16/0.67 ![X0]: (int_less(int_zero,X0)|~int_leq(int_one,X0))),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f38])).
% 2.16/0.67 fof(f42,plain,(
% 2.16/0.67 ![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)=real_zero))))&(![K]: ((~int_leq(int_one,K)|~int_leq(K,J))|a(K,K)=real_one)))&(![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))))))),
% 2.16/0.67 inference(pre_NNF_transformation,[status(esa)],[f12])).
% 2.16/0.67 fof(f45,plain,(
% 2.16/0.67 ![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)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f42])).
% 2.16/0.67 fof(f46,plain,(
% 2.16/0.67 (?[I,J]: (((int_leq(int_one,I)&int_less(I,J))&int_leq(J,n))&~a(I,J)=real_zero))),
% 2.16/0.67 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 2.16/0.67 fof(f47,plain,(
% 2.16/0.67 (((int_leq(int_one,sk0_1)&int_less(sk0_1,sk0_2))&int_leq(sk0_2,n))&~a(sk0_1,sk0_2)=real_zero)),
% 2.16/0.67 inference(skolemization,[status(esa)],[f46])).
% 2.16/0.67 fof(f48,plain,(
% 2.16/0.67 int_leq(int_one,sk0_1)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f47])).
% 2.16/0.67 fof(f49,plain,(
% 2.16/0.67 int_less(sk0_1,sk0_2)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f47])).
% 2.16/0.67 fof(f50,plain,(
% 2.16/0.67 int_leq(sk0_2,n)),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f47])).
% 2.16/0.67 fof(f51,plain,(
% 2.16/0.67 ~a(sk0_1,sk0_2)=real_zero),
% 2.16/0.67 inference(cnf_transformation,[status(esa)],[f47])).
% 2.16/0.67 fof(f59,plain,(
% 2.16/0.67 ![X0]: (int_leq(X0,X0))),
% 2.16/0.67 inference(destructive_equality_resolution,[status(esa)],[f19])).
% 2.16/0.67 fof(f60,plain,(
% 2.16/0.67 ![X0]: (~int_less(X0,X0))),
% 2.16/0.67 inference(destructive_equality_resolution,[status(esa)],[f24])).
% 2.16/0.67 fof(f61,plain,(
% 2.16/0.67 ![X0,X1]: (int_less(X0,plus(X0,X1))|~int_less(int_zero,X1))),
% 2.16/0.67 inference(destructive_equality_resolution,[status(esa)],[f36])).
% 2.16/0.67 fof(f63,plain,(
% 2.16/0.67 ![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)),
% 2.16/0.67 inference(destructive_equality_resolution,[status(esa)],[f45])).
% 2.16/0.67 fof(f64,plain,(
% 2.16/0.67 ![X0,X1]: (~int_less(X0,X1)|~int_less(X1,X0))),
% 2.16/0.67 inference(resolution,[status(thm)],[f22,f60])).
% 2.16/0.67 fof(f65,plain,(
% 2.16/0.67 ~int_less(sk0_2,sk0_1)),
% 2.16/0.67 inference(resolution,[status(thm)],[f64,f49])).
% 2.16/0.67 fof(f67,plain,(
% 2.16/0.67 ![X0,X1]: (~int_less(X0,X1)|~int_leq(X1,X0)|X1=X0)),
% 2.16/0.67 inference(resolution,[status(thm)],[f64,f17])).
% 2.16/0.67 fof(f68,plain,(
% 2.16/0.67 ![X0]: (~int_less(sk0_2,X0)|~int_less(X0,sk0_1))),
% 2.16/0.67 inference(resolution,[status(thm)],[f65,f22])).
% 2.16/0.67 fof(f69,plain,(
% 2.16/0.67 spl0_2 <=> int_leq(sk0_2,sk0_1)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f71,plain,(
% 2.16/0.67 ~int_leq(sk0_2,sk0_1)|spl0_2),
% 2.16/0.67 inference(component_clause,[status(thm)],[f69])).
% 2.16/0.67 fof(f72,plain,(
% 2.16/0.67 spl0_3 <=> sk0_2=sk0_1),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f73,plain,(
% 2.16/0.67 sk0_2=sk0_1|~spl0_3),
% 2.16/0.67 inference(component_clause,[status(thm)],[f72])).
% 2.16/0.67 fof(f75,plain,(
% 2.16/0.67 ~int_leq(sk0_2,sk0_1)|sk0_2=sk0_1),
% 2.16/0.67 inference(resolution,[status(thm)],[f65,f17])).
% 2.16/0.67 fof(f76,plain,(
% 2.16/0.67 ~spl0_2|spl0_3),
% 2.16/0.67 inference(split_clause,[status(thm)],[f75,f69,f72])).
% 2.16/0.67 fof(f80,plain,(
% 2.16/0.67 ![X0,X1]: (~int_leq(X0,X1)|X0=X1|~int_leq(X1,X0)|X1=X0)),
% 2.16/0.67 inference(resolution,[status(thm)],[f67,f17])).
% 2.16/0.67 fof(f81,plain,(
% 2.16/0.67 ![X0,X1]: (~int_leq(X0,X1)|X0=X1|~int_leq(X1,X0))),
% 2.16/0.67 inference(duplicate_literals_removal,[status(esa)],[f80])).
% 2.16/0.67 fof(f84,plain,(
% 2.16/0.67 spl0_4 <=> int_leq(n,sk0_2)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f86,plain,(
% 2.16/0.67 ~int_leq(n,sk0_2)|spl0_4),
% 2.16/0.67 inference(component_clause,[status(thm)],[f84])).
% 2.16/0.67 fof(f87,plain,(
% 2.16/0.67 spl0_5 <=> n=sk0_2),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f88,plain,(
% 2.16/0.67 n=sk0_2|~spl0_5),
% 2.16/0.67 inference(component_clause,[status(thm)],[f87])).
% 2.16/0.67 fof(f90,plain,(
% 2.16/0.67 ~int_leq(n,sk0_2)|n=sk0_2),
% 2.16/0.67 inference(resolution,[status(thm)],[f81,f50])).
% 2.16/0.67 fof(f91,plain,(
% 2.16/0.67 ~spl0_4|spl0_5),
% 2.16/0.67 inference(split_clause,[status(thm)],[f90,f84,f87])).
% 2.16/0.67 fof(f92,plain,(
% 2.16/0.67 spl0_6 <=> int_leq(sk0_1,int_one)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f94,plain,(
% 2.16/0.67 ~int_leq(sk0_1,int_one)|spl0_6),
% 2.16/0.67 inference(component_clause,[status(thm)],[f92])).
% 2.16/0.67 fof(f95,plain,(
% 2.16/0.67 spl0_7 <=> sk0_1=int_one),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f96,plain,(
% 2.16/0.67 sk0_1=int_one|~spl0_7),
% 2.16/0.67 inference(component_clause,[status(thm)],[f95])).
% 2.16/0.67 fof(f98,plain,(
% 2.16/0.67 ~int_leq(sk0_1,int_one)|sk0_1=int_one),
% 2.16/0.67 inference(resolution,[status(thm)],[f81,f48])).
% 2.16/0.67 fof(f99,plain,(
% 2.16/0.67 ~spl0_6|spl0_7),
% 2.16/0.67 inference(split_clause,[status(thm)],[f98,f92,f95])).
% 2.16/0.67 fof(f113,plain,(
% 2.16/0.67 spl0_8 <=> int_leq(int_one,int_zero)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f135,plain,(
% 2.16/0.67 ![X0]: (X0=plus(int_zero,X0))),
% 2.16/0.67 inference(paramodulation,[status(thm)],[f28,f27])).
% 2.16/0.67 fof(f165,plain,(
% 2.16/0.67 ![X0]: (~int_leq(int_one,X0)|~int_less(X0,int_zero))),
% 2.16/0.67 inference(resolution,[status(thm)],[f40,f64])).
% 2.16/0.67 fof(f172,plain,(
% 2.16/0.67 ![X0,X1]: (~int_leq(X0,X1)|int_leq(plus(int_zero,X0),plus(int_one,X1)))),
% 2.16/0.67 inference(resolution,[status(thm)],[f30,f26])).
% 2.16/0.67 fof(f173,plain,(
% 2.16/0.67 ![X0,X1]: (~int_leq(X0,X1)|int_leq(X0,plus(int_one,X1)))),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f135,f172])).
% 2.16/0.67 fof(f176,plain,(
% 2.16/0.67 ![X0,X1]: (~int_leq(X0,X1)|int_leq(plus(sk0_1,X0),plus(sk0_2,X1)))),
% 2.16/0.67 inference(resolution,[status(thm)],[f30,f49])).
% 2.16/0.67 fof(f181,plain,(
% 2.16/0.67 ![X0]: (plus(int_zero,sk0_0(X0,int_zero))=X0|~int_leq(int_one,X0))),
% 2.16/0.67 inference(resolution,[status(thm)],[f34,f40])).
% 2.16/0.67 fof(f182,plain,(
% 2.16/0.67 ![X0]: (sk0_0(X0,int_zero)=X0|~int_leq(int_one,X0))),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f135,f181])).
% 2.16/0.67 fof(f183,plain,(
% 2.16/0.67 plus(sk0_1,sk0_0(sk0_2,sk0_1))=sk0_2),
% 2.16/0.67 inference(resolution,[status(thm)],[f34,f49])).
% 2.16/0.67 fof(f185,plain,(
% 2.16/0.67 ![X0,X1]: (plus(X0,sk0_0(X1,X0))=X1|~int_leq(X0,X1)|X0=X1)),
% 2.16/0.67 inference(resolution,[status(thm)],[f34,f17])).
% 2.16/0.67 fof(f187,plain,(
% 2.16/0.67 ![X0]: (int_less(int_zero,sk0_0(X0,int_zero))|~int_leq(int_one,X0))),
% 2.16/0.67 inference(resolution,[status(thm)],[f35,f40])).
% 2.16/0.67 fof(f188,plain,(
% 2.16/0.67 int_less(int_zero,sk0_0(sk0_2,sk0_1))),
% 2.16/0.67 inference(resolution,[status(thm)],[f35,f49])).
% 2.16/0.67 fof(f195,plain,(
% 2.16/0.67 int_less(sk0_2,n)|spl0_4),
% 2.16/0.67 inference(resolution,[status(thm)],[f86,f25])).
% 2.16/0.67 fof(f209,plain,(
% 2.16/0.67 ~int_less(n,sk0_1)|spl0_4),
% 2.16/0.67 inference(resolution,[status(thm)],[f195,f68])).
% 2.16/0.67 fof(f217,plain,(
% 2.16/0.67 ~int_less(n,sk0_2)|spl0_4),
% 2.16/0.67 inference(resolution,[status(thm)],[f195,f64])).
% 2.16/0.67 fof(f262,plain,(
% 2.16/0.67 ~int_leq(n,sk0_1)|~spl0_5|spl0_2),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f88,f71])).
% 2.16/0.67 fof(f270,plain,(
% 2.16/0.67 spl0_18 <=> int_leq(n,sk0_1)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f272,plain,(
% 2.16/0.67 ~int_leq(n,sk0_1)|spl0_18),
% 2.16/0.67 inference(component_clause,[status(thm)],[f270])).
% 2.16/0.67 fof(f273,plain,(
% 2.16/0.67 spl0_19 <=> n=sk0_1),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f274,plain,(
% 2.16/0.67 n=sk0_1|~spl0_19),
% 2.16/0.67 inference(component_clause,[status(thm)],[f273])).
% 2.16/0.67 fof(f306,plain,(
% 2.16/0.67 int_less(sk0_1,n)|spl0_18),
% 2.16/0.67 inference(resolution,[status(thm)],[f272,f25])).
% 2.16/0.67 fof(f321,plain,(
% 2.16/0.67 spl0_20 <=> int_less(int_zero,int_one)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f323,plain,(
% 2.16/0.67 ~int_less(int_zero,int_one)|spl0_20),
% 2.16/0.67 inference(component_clause,[status(thm)],[f321])).
% 2.16/0.67 fof(f332,plain,(
% 2.16/0.67 $false|spl0_20),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f323,f26])).
% 2.16/0.67 fof(f333,plain,(
% 2.16/0.67 spl0_20),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f332])).
% 2.16/0.67 fof(f358,plain,(
% 2.16/0.67 ![X0]: (int_leq(plus(sk0_1,X0),plus(sk0_2,X0)))),
% 2.16/0.67 inference(resolution,[status(thm)],[f176,f59])).
% 2.16/0.67 fof(f359,plain,(
% 2.16/0.67 ~int_leq(int_one,int_zero)|~int_leq(int_one,int_zero)),
% 2.16/0.67 inference(resolution,[status(thm)],[f165,f40])).
% 2.16/0.67 fof(f360,plain,(
% 2.16/0.67 ~spl0_8),
% 2.16/0.67 inference(split_clause,[status(thm)],[f359,f113])).
% 2.16/0.67 fof(f384,plain,(
% 2.16/0.67 ![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(sk0_1,X0)|a(sk0_1,plus(sk0_1,X1))=real_zero)),
% 2.16/0.67 inference(resolution,[status(thm)],[f63,f48])).
% 2.16/0.67 fof(f397,plain,(
% 2.16/0.67 sk0_0(sk0_1,int_zero)=sk0_1),
% 2.16/0.67 inference(resolution,[status(thm)],[f182,f48])).
% 2.16/0.67 fof(f399,plain,(
% 2.16/0.67 ![X0]: (sk0_0(X0,int_zero)=X0|int_less(X0,int_one))),
% 2.16/0.67 inference(resolution,[status(thm)],[f182,f25])).
% 2.16/0.67 fof(f400,plain,(
% 2.16/0.67 ![X0]: (sk0_0(X0,int_zero)=X0|~int_less(int_one,X0))),
% 2.16/0.67 inference(resolution,[status(thm)],[f182,f18])).
% 2.16/0.67 fof(f411,plain,(
% 2.16/0.67 spl0_25 <=> sk0_0(int_one,int_zero)=int_one),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f434,plain,(
% 2.16/0.67 spl0_29 <=> int_less(int_one,int_one)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f435,plain,(
% 2.16/0.67 int_less(int_one,int_one)|~spl0_29),
% 2.16/0.67 inference(component_clause,[status(thm)],[f434])).
% 2.16/0.67 fof(f450,plain,(
% 2.16/0.67 sk0_0(int_one,int_zero)=int_one|sk0_0(int_one,int_zero)=int_one),
% 2.16/0.67 inference(resolution,[status(thm)],[f400,f399])).
% 2.16/0.67 fof(f451,plain,(
% 2.16/0.67 spl0_25),
% 2.16/0.67 inference(split_clause,[status(thm)],[f450,f411])).
% 2.16/0.67 fof(f458,plain,(
% 2.16/0.67 spl0_30 <=> int_less(X0,plus(X0,int_one))),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f463,plain,(
% 2.16/0.67 ![X0,X1,X2]: (int_less(X0,plus(X0,X1))|~int_less(int_zero,X2)|~int_less(X2,X1))),
% 2.16/0.67 inference(resolution,[status(thm)],[f61,f22])).
% 2.16/0.67 fof(f464,plain,(
% 2.16/0.67 ![X0,X1]: (int_less(X0,plus(X0,X1))|~int_leq(int_zero,X1)|int_zero=X1)),
% 2.16/0.67 inference(resolution,[status(thm)],[f61,f17])).
% 2.16/0.67 fof(f530,plain,(
% 2.16/0.67 ~int_leq(n,sk0_1)|n=sk0_1|spl0_4),
% 2.16/0.67 inference(resolution,[status(thm)],[f209,f17])).
% 2.16/0.67 fof(f531,plain,(
% 2.16/0.67 ~spl0_18|spl0_19|spl0_4),
% 2.16/0.67 inference(split_clause,[status(thm)],[f530,f270,f273,f84])).
% 2.16/0.67 fof(f552,plain,(
% 2.16/0.67 int_less(n,sk0_2)|~spl0_19),
% 2.16/0.67 inference(backward_demodulation,[status(thm)],[f274,f49])).
% 2.16/0.67 fof(f553,plain,(
% 2.16/0.67 $false|spl0_4|~spl0_19),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f552,f217])).
% 2.16/0.67 fof(f554,plain,(
% 2.16/0.67 spl0_4|~spl0_19),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f553])).
% 2.16/0.67 fof(f566,plain,(
% 2.16/0.67 ~int_less(n,sk0_1)|spl0_18),
% 2.16/0.67 inference(resolution,[status(thm)],[f306,f64])).
% 2.16/0.67 fof(f606,plain,(
% 2.16/0.67 int_less(int_one,sk0_1)|spl0_6),
% 2.16/0.67 inference(resolution,[status(thm)],[f94,f25])).
% 2.16/0.67 fof(f625,plain,(
% 2.16/0.67 ~spl0_18|~spl0_5|spl0_2),
% 2.16/0.67 inference(split_clause,[status(thm)],[f262,f270,f87,f69])).
% 2.16/0.67 fof(f642,plain,(
% 2.16/0.67 spl0_34 <=> int_leq(int_zero,int_one)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f644,plain,(
% 2.16/0.67 ~int_leq(int_zero,int_one)|spl0_34),
% 2.16/0.67 inference(component_clause,[status(thm)],[f642])).
% 2.16/0.67 fof(f681,plain,(
% 2.16/0.67 spl0_35 <=> int_leq(int_zero,sk0_1)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f683,plain,(
% 2.16/0.67 ~int_leq(int_zero,sk0_1)|spl0_35),
% 2.16/0.67 inference(component_clause,[status(thm)],[f681])).
% 2.16/0.67 fof(f773,plain,(
% 2.16/0.67 spl0_36 <=> int_leq(int_one,sk0_1)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f775,plain,(
% 2.16/0.67 ~int_leq(int_one,sk0_1)|spl0_36),
% 2.16/0.67 inference(component_clause,[status(thm)],[f773])).
% 2.16/0.67 fof(f802,plain,(
% 2.16/0.67 ![X0]: (int_less(int_zero,X0)|int_less(X0,int_one))),
% 2.16/0.67 inference(resolution,[status(thm)],[f40,f25])).
% 2.16/0.67 fof(f939,plain,(
% 2.16/0.67 spl0_43 <=> sk0_2=int_one),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f940,plain,(
% 2.16/0.67 sk0_2=int_one|~spl0_43),
% 2.16/0.67 inference(component_clause,[status(thm)],[f939])).
% 2.16/0.67 fof(f985,plain,(
% 2.16/0.67 ![X0,X1]: (int_less(X0,int_one)|int_less(X1,plus(X1,X0)))),
% 2.16/0.67 inference(resolution,[status(thm)],[f802,f61])).
% 2.16/0.67 fof(f1094,plain,(
% 2.16/0.67 ![X0]: (int_leq(X0,plus(int_one,X0)))),
% 2.16/0.67 inference(resolution,[status(thm)],[f173,f59])).
% 2.16/0.67 fof(f1101,plain,(
% 2.16/0.67 int_leq(int_zero,int_one)),
% 2.16/0.67 inference(paramodulation,[status(thm)],[f28,f1094])).
% 2.16/0.67 fof(f1364,plain,(
% 2.16/0.67 int_leq(sk0_1,plus(sk0_2,int_zero))),
% 2.16/0.67 inference(paramodulation,[status(thm)],[f28,f358])).
% 2.16/0.67 fof(f1365,plain,(
% 2.16/0.67 int_leq(sk0_1,sk0_2)),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f28,f1364])).
% 2.16/0.67 fof(f1404,plain,(
% 2.16/0.67 spl0_59 <=> plus(sk0_1,sk0_0(sk0_2,sk0_1))=sk0_2),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f1407,plain,(
% 2.16/0.67 plus(sk0_1,sk0_0(sk0_2,sk0_1))=sk0_2|sk0_1=sk0_2),
% 2.16/0.67 inference(resolution,[status(thm)],[f185,f1365])).
% 2.16/0.67 fof(f1408,plain,(
% 2.16/0.67 spl0_59|spl0_3),
% 2.16/0.67 inference(split_clause,[status(thm)],[f1407,f1404,f72])).
% 2.16/0.67 fof(f1458,plain,(
% 2.16/0.67 int_less(int_zero,sk0_0(sk0_1,int_zero))),
% 2.16/0.67 inference(resolution,[status(thm)],[f187,f48])).
% 2.16/0.67 fof(f1507,plain,(
% 2.16/0.67 int_less(sk0_1,sk0_1)|~spl0_3),
% 2.16/0.67 inference(backward_demodulation,[status(thm)],[f73,f49])).
% 2.16/0.67 fof(f1508,plain,(
% 2.16/0.67 $false|~spl0_3),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1507,f60])).
% 2.16/0.67 fof(f1509,plain,(
% 2.16/0.67 ~spl0_3),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f1508])).
% 2.16/0.67 fof(f1523,plain,(
% 2.16/0.67 int_less(int_zero,sk0_1)),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f397,f1458])).
% 2.16/0.67 fof(f1527,plain,(
% 2.16/0.67 $false|spl0_36),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f775,f48])).
% 2.16/0.67 fof(f1528,plain,(
% 2.16/0.67 spl0_36),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f1527])).
% 2.16/0.67 fof(f1660,plain,(
% 2.16/0.67 ~int_less(sk0_1,int_zero)),
% 2.16/0.67 inference(resolution,[status(thm)],[f1523,f64])).
% 2.16/0.67 fof(f1755,plain,(
% 2.16/0.67 ~int_less(sk0_2,int_one)|spl0_6),
% 2.16/0.67 inference(resolution,[status(thm)],[f68,f606])).
% 2.16/0.67 fof(f1756,plain,(
% 2.16/0.67 ~int_less(sk0_2,int_zero)),
% 2.16/0.67 inference(resolution,[status(thm)],[f68,f1523])).
% 2.16/0.67 fof(f1823,plain,(
% 2.16/0.67 spl0_86 <=> int_leq(int_one,int_one)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f1825,plain,(
% 2.16/0.67 ~int_leq(int_one,int_one)|spl0_86),
% 2.16/0.67 inference(component_clause,[status(thm)],[f1823])).
% 2.16/0.67 fof(f1838,plain,(
% 2.16/0.67 $false|spl0_86),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1825,f59])).
% 2.16/0.67 fof(f1839,plain,(
% 2.16/0.67 spl0_86),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f1838])).
% 2.16/0.67 fof(f1889,plain,(
% 2.16/0.67 spl0_96 <=> int_less(int_zero,sk0_2)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f1891,plain,(
% 2.16/0.67 ~int_less(int_zero,sk0_2)|spl0_96),
% 2.16/0.67 inference(component_clause,[status(thm)],[f1889])).
% 2.16/0.67 fof(f1951,plain,(
% 2.16/0.67 spl0_101 <=> int_leq(n,n)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f1953,plain,(
% 2.16/0.67 ~int_leq(n,n)|spl0_101),
% 2.16/0.67 inference(component_clause,[status(thm)],[f1951])).
% 2.16/0.67 fof(f1961,plain,(
% 2.16/0.67 $false|spl0_101),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f1953,f59])).
% 2.16/0.67 fof(f1962,plain,(
% 2.16/0.67 spl0_101),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f1961])).
% 2.16/0.67 fof(f2022,plain,(
% 2.16/0.67 spl0_106 <=> ~int_leq(int_one,plus(X0,sk0_0(sk0_2,sk0_1)))|~int_leq(plus(X0,sk0_0(sk0_2,sk0_1)),n)|~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(sk0_1,X0)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2023,plain,(
% 2.16/0.67 ![X0]: (~int_leq(int_one,plus(X0,sk0_0(sk0_2,sk0_1)))|~int_leq(plus(X0,sk0_0(sk0_2,sk0_1)),n)|~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(sk0_1,X0)|~spl0_106)),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2022])).
% 2.16/0.67 fof(f2025,plain,(
% 2.16/0.67 spl0_107 <=> int_less(int_zero,sk0_0(sk0_2,sk0_1))),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2027,plain,(
% 2.16/0.67 ~int_less(int_zero,sk0_0(sk0_2,sk0_1))|spl0_107),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2025])).
% 2.16/0.67 fof(f2033,plain,(
% 2.16/0.67 spl0_109 <=> a(sk0_1,sk0_2)=real_zero),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2034,plain,(
% 2.16/0.67 a(sk0_1,sk0_2)=real_zero|~spl0_109),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2033])).
% 2.16/0.67 fof(f2036,plain,(
% 2.16/0.67 ![X0]: (~int_leq(int_one,X0)|~int_leq(X0,n)|~int_leq(int_one,plus(X0,sk0_0(sk0_2,sk0_1)))|~int_leq(plus(X0,sk0_0(sk0_2,sk0_1)),n)|~int_less(int_zero,sk0_0(sk0_2,sk0_1))|~int_leq(sk0_1,X0)|a(sk0_1,sk0_2)=real_zero)),
% 2.16/0.67 inference(paramodulation,[status(thm)],[f183,f384])).
% 2.16/0.67 fof(f2037,plain,(
% 2.16/0.67 spl0_106|~spl0_107|spl0_109),
% 2.16/0.67 inference(split_clause,[status(thm)],[f2036,f2022,f2025,f2033])).
% 2.16/0.67 fof(f2046,plain,(
% 2.16/0.67 spl0_111 <=> int_leq(int_one,sk0_0(sk0_2,sk0_1))),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2047,plain,(
% 2.16/0.67 int_leq(int_one,sk0_0(sk0_2,sk0_1))|~spl0_111),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2046])).
% 2.16/0.67 fof(f2048,plain,(
% 2.16/0.67 ~int_leq(int_one,sk0_0(sk0_2,sk0_1))|spl0_111),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2046])).
% 2.16/0.67 fof(f2054,plain,(
% 2.16/0.67 $false|spl0_34),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f644,f1101])).
% 2.16/0.67 fof(f2055,plain,(
% 2.16/0.67 spl0_34),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2054])).
% 2.16/0.67 fof(f2056,plain,(
% 2.16/0.67 $false|spl0_107),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2027,f188])).
% 2.16/0.67 fof(f2057,plain,(
% 2.16/0.67 spl0_107),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2056])).
% 2.16/0.67 fof(f2171,plain,(
% 2.16/0.67 spl0_123 <=> int_less(X0,plus(X0,int_zero))),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2172,plain,(
% 2.16/0.67 ![X0]: (int_less(X0,plus(X0,int_zero))|~spl0_123)),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2171])).
% 2.16/0.67 fof(f2174,plain,(
% 2.16/0.67 ![X0,X1]: (int_less(X0,plus(X0,int_zero))|int_less(X1,plus(X1,int_one)))),
% 2.16/0.67 inference(resolution,[status(thm)],[f985,f61])).
% 2.16/0.67 fof(f2175,plain,(
% 2.16/0.67 spl0_123|spl0_30),
% 2.16/0.67 inference(split_clause,[status(thm)],[f2174,f2171,f458])).
% 2.16/0.67 fof(f2328,plain,(
% 2.16/0.67 int_less(sk0_1,int_zero)|spl0_35),
% 2.16/0.67 inference(resolution,[status(thm)],[f683,f25])).
% 2.16/0.67 fof(f2329,plain,(
% 2.16/0.67 $false|spl0_35),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2328,f1660])).
% 2.16/0.67 fof(f2330,plain,(
% 2.16/0.67 spl0_35),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2329])).
% 2.16/0.67 fof(f2331,plain,(
% 2.16/0.67 ~int_less(int_zero,sk0_0(sk0_2,sk0_1))|spl0_111),
% 2.16/0.67 inference(resolution,[status(thm)],[f2048,f39])).
% 2.16/0.67 fof(f2332,plain,(
% 2.16/0.67 ~spl0_107|spl0_111),
% 2.16/0.67 inference(split_clause,[status(thm)],[f2331,f2025,f2046])).
% 2.16/0.67 fof(f2342,plain,(
% 2.16/0.67 int_less(sk0_2,int_one)|spl0_96),
% 2.16/0.67 inference(resolution,[status(thm)],[f1891,f802])).
% 2.16/0.67 fof(f2343,plain,(
% 2.16/0.67 $false|spl0_6|spl0_96),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2342,f1755])).
% 2.16/0.67 fof(f2344,plain,(
% 2.16/0.67 spl0_6|spl0_96),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2343])).
% 2.16/0.67 fof(f2364,plain,(
% 2.16/0.67 spl0_139 <=> int_leq(sk0_1,n)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2366,plain,(
% 2.16/0.67 ~int_leq(sk0_1,n)|spl0_139),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2364])).
% 2.16/0.67 fof(f2372,plain,(
% 2.16/0.67 spl0_141 <=> int_leq(int_one,plus(int_one,int_zero))),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2374,plain,(
% 2.16/0.67 ~int_leq(int_one,plus(int_one,int_zero))|spl0_141),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2372])).
% 2.16/0.67 fof(f2382,plain,(
% 2.16/0.67 ~int_leq(int_one,int_one)|spl0_141),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f28,f2374])).
% 2.16/0.67 fof(f2383,plain,(
% 2.16/0.67 $false|spl0_141),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2382,f59])).
% 2.16/0.67 fof(f2384,plain,(
% 2.16/0.67 spl0_141),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2383])).
% 2.16/0.67 fof(f2392,plain,(
% 2.16/0.67 spl0_143 <=> int_leq(int_one,plus(sk0_1,sk0_0(sk0_2,sk0_1)))),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2394,plain,(
% 2.16/0.67 ~int_leq(int_one,plus(sk0_1,sk0_0(sk0_2,sk0_1)))|spl0_143),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2392])).
% 2.16/0.67 fof(f2395,plain,(
% 2.16/0.67 spl0_144 <=> int_leq(sk0_2,n)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2397,plain,(
% 2.16/0.67 ~int_leq(sk0_2,n)|spl0_144),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2395])).
% 2.16/0.67 fof(f2398,plain,(
% 2.16/0.67 spl0_145 <=> int_leq(sk0_1,sk0_1)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2400,plain,(
% 2.16/0.67 ~int_leq(sk0_1,sk0_1)|spl0_145),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2398])).
% 2.16/0.67 fof(f2401,plain,(
% 2.16/0.67 ~int_leq(int_one,plus(sk0_1,sk0_0(sk0_2,sk0_1)))|~int_leq(sk0_2,n)|~int_leq(int_one,sk0_1)|~int_leq(sk0_1,n)|~int_leq(sk0_1,sk0_1)|~spl0_106),
% 2.16/0.67 inference(paramodulation,[status(thm)],[f183,f2023])).
% 2.16/0.67 fof(f2402,plain,(
% 2.16/0.67 ~spl0_143|~spl0_144|~spl0_36|~spl0_139|~spl0_145|~spl0_106),
% 2.16/0.67 inference(split_clause,[status(thm)],[f2401,f2392,f2395,f773,f2364,f2398,f2022])).
% 2.16/0.67 fof(f2414,plain,(
% 2.16/0.67 $false|spl0_145),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2400,f59])).
% 2.16/0.67 fof(f2415,plain,(
% 2.16/0.67 spl0_145),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2414])).
% 2.16/0.67 fof(f2416,plain,(
% 2.16/0.67 $false|spl0_144),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2397,f50])).
% 2.16/0.67 fof(f2417,plain,(
% 2.16/0.67 spl0_144),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2416])).
% 2.16/0.67 fof(f2418,plain,(
% 2.16/0.67 ~int_leq(int_one,sk0_2)|spl0_143),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f183,f2394])).
% 2.16/0.67 fof(f2419,plain,(
% 2.16/0.67 $false|~spl0_109),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2034,f51])).
% 2.16/0.67 fof(f2420,plain,(
% 2.16/0.67 ~spl0_109),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2419])).
% 2.16/0.67 fof(f2462,plain,(
% 2.16/0.67 ~int_leq(int_one,sk0_1)|~spl0_43|spl0_2),
% 2.16/0.67 inference(backward_demodulation,[status(thm)],[f940,f71])).
% 2.16/0.67 fof(f2463,plain,(
% 2.16/0.67 ~spl0_36|~spl0_43|spl0_2),
% 2.16/0.67 inference(split_clause,[status(thm)],[f2462,f773,f939,f69])).
% 2.16/0.67 fof(f2485,plain,(
% 2.16/0.67 ![X0]: (int_less(X0,X0)|~spl0_123)),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f28,f2172])).
% 2.16/0.67 fof(f2486,plain,(
% 2.16/0.67 $false|~spl0_123),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2485,f60])).
% 2.16/0.67 fof(f2487,plain,(
% 2.16/0.67 ~spl0_123),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2486])).
% 2.16/0.67 fof(f2488,plain,(
% 2.16/0.67 $false|~spl0_29),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f435,f60])).
% 2.16/0.67 fof(f2489,plain,(
% 2.16/0.67 ~spl0_29),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2488])).
% 2.16/0.67 fof(f2491,plain,(
% 2.16/0.67 spl0_149 <=> int_leq(int_zero,sk0_2)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2493,plain,(
% 2.16/0.67 ~int_leq(int_zero,sk0_2)|spl0_149),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2491])).
% 2.16/0.67 fof(f2536,plain,(
% 2.16/0.67 ~int_less(int_zero,sk0_2)|spl0_143),
% 2.16/0.67 inference(resolution,[status(thm)],[f2418,f39])).
% 2.16/0.67 fof(f2566,plain,(
% 2.16/0.67 int_leq(int_one,sk0_2)|~spl0_7),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f96,f1365])).
% 2.16/0.67 fof(f2567,plain,(
% 2.16/0.67 $false|spl0_143|~spl0_7),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2566,f2418])).
% 2.16/0.67 fof(f2568,plain,(
% 2.16/0.67 spl0_143|~spl0_7),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2567])).
% 2.16/0.67 fof(f2716,plain,(
% 2.16/0.67 spl0_150 <=> int_less(X0,plus(X0,X1))|~int_less(int_one,X1)),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2719,plain,(
% 2.16/0.67 ![X0,X1,X2]: (int_less(X0,plus(X0,X1))|~int_less(int_one,X1)|int_less(X2,plus(X2,int_zero)))),
% 2.16/0.67 inference(resolution,[status(thm)],[f463,f985])).
% 2.16/0.67 fof(f2720,plain,(
% 2.16/0.67 spl0_150|spl0_123),
% 2.16/0.67 inference(split_clause,[status(thm)],[f2719,f2716,f2171])).
% 2.16/0.67 fof(f2785,plain,(
% 2.16/0.67 spl0_156 <=> int_zero=int_zero),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2788,plain,(
% 2.16/0.67 ![X0]: (int_less(X0,plus(X0,int_zero))|int_zero=int_zero)),
% 2.16/0.67 inference(resolution,[status(thm)],[f464,f59])).
% 2.16/0.67 fof(f2789,plain,(
% 2.16/0.67 spl0_123|spl0_156),
% 2.16/0.67 inference(split_clause,[status(thm)],[f2788,f2171,f2785])).
% 2.16/0.67 fof(f2804,plain,(
% 2.16/0.67 spl0_157 <=> int_leq(int_one,plus(int_zero,sk0_1))),
% 2.16/0.67 introduced(split_symbol_definition)).
% 2.16/0.67 fof(f2806,plain,(
% 2.16/0.67 ~int_leq(int_one,plus(int_zero,sk0_1))|spl0_157),
% 2.16/0.67 inference(component_clause,[status(thm)],[f2804])).
% 2.16/0.67 fof(f2811,plain,(
% 2.16/0.67 ~int_leq(int_one,sk0_1)|spl0_157),
% 2.16/0.67 inference(forward_demodulation,[status(thm)],[f135,f2806])).
% 2.16/0.67 fof(f2812,plain,(
% 2.16/0.67 $false|spl0_157),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2811,f48])).
% 2.16/0.67 fof(f2813,plain,(
% 2.16/0.67 spl0_157),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2812])).
% 2.16/0.67 fof(f2929,plain,(
% 2.16/0.67 int_less(sk0_2,int_zero)|spl0_149),
% 2.16/0.67 inference(resolution,[status(thm)],[f2493,f25])).
% 2.16/0.67 fof(f2930,plain,(
% 2.16/0.67 $false|spl0_149),
% 2.16/0.67 inference(forward_subsumption_resolution,[status(thm)],[f2929,f1756])).
% 2.16/0.67 fof(f2931,plain,(
% 2.16/0.67 spl0_149),
% 2.16/0.67 inference(contradiction_clause,[status(thm)],[f2930])).
% 2.16/0.68 fof(f2955,plain,(
% 2.16/0.68 int_less(n,sk0_1)|spl0_139),
% 2.16/0.68 inference(resolution,[status(thm)],[f2366,f25])).
% 2.16/0.68 fof(f3017,plain,(
% 2.16/0.68 spl0_171 <=> plus(int_one,sk0_0(sk0_0(sk0_2,sk0_1),int_one))=sk0_0(sk0_2,sk0_1)),
% 2.16/0.68 introduced(split_symbol_definition)).
% 2.16/0.68 fof(f3020,plain,(
% 2.16/0.68 spl0_172 <=> int_one=sk0_0(sk0_2,sk0_1)),
% 2.16/0.68 introduced(split_symbol_definition)).
% 2.16/0.68 fof(f3023,plain,(
% 2.16/0.68 plus(int_one,sk0_0(sk0_0(sk0_2,sk0_1),int_one))=sk0_0(sk0_2,sk0_1)|int_one=sk0_0(sk0_2,sk0_1)|~spl0_111),
% 2.16/0.68 inference(resolution,[status(thm)],[f2047,f185])).
% 2.16/0.68 fof(f3024,plain,(
% 2.16/0.68 spl0_171|spl0_172|~spl0_111),
% 2.16/0.68 inference(split_clause,[status(thm)],[f3023,f3017,f3020,f2046])).
% 2.16/0.68 fof(f3027,plain,(
% 2.16/0.68 spl0_173 <=> int_leq(sk0_0(sk0_2,sk0_1),int_one)),
% 2.16/0.68 introduced(split_symbol_definition)).
% 2.16/0.68 fof(f3030,plain,(
% 2.16/0.68 ~int_leq(sk0_0(sk0_2,sk0_1),int_one)|sk0_0(sk0_2,sk0_1)=int_one|~spl0_111),
% 2.16/0.68 inference(resolution,[status(thm)],[f2047,f81])).
% 2.16/0.68 fof(f3031,plain,(
% 2.16/0.68 ~spl0_173|spl0_172|~spl0_111),
% 2.16/0.68 inference(split_clause,[status(thm)],[f3030,f3027,f3020,f2046])).
% 2.16/0.68 fof(f3207,plain,(
% 2.16/0.68 $false|spl0_18|spl0_139),
% 2.16/0.68 inference(forward_subsumption_resolution,[status(thm)],[f2955,f566])).
% 2.16/0.68 fof(f3208,plain,(
% 2.16/0.68 spl0_18|spl0_139),
% 2.16/0.68 inference(contradiction_clause,[status(thm)],[f3207])).
% 2.16/0.68 fof(f3210,plain,(
% 2.16/0.68 ~spl0_96|spl0_143),
% 2.16/0.68 inference(split_clause,[status(thm)],[f2536,f1889,f2392])).
% 2.16/0.68 fof(f3211,plain,(
% 2.16/0.68 $false),
% 2.16/0.68 inference(sat_refutation,[status(thm)],[f76,f91,f99,f333,f360,f451,f531,f554,f625,f1408,f1509,f1528,f1839,f1962,f2037,f2055,f2057,f2175,f2330,f2332,f2344,f2384,f2402,f2415,f2417,f2420,f2463,f2487,f2489,f2568,f2720,f2789,f2813,f2931,f3024,f3031,f3208,f3210])).
% 2.16/0.68 % SZS output end CNFRefutation for theBenchmark.p
% 2.16/0.68 % Elapsed time: 0.334389 seconds
% 2.16/0.68 % CPU time: 2.534670 seconds
% 2.16/0.68 % Memory used: 75.941 MB
%------------------------------------------------------------------------------