TSTP Solution File: SWV114+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV114+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 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 12:40:41 EDT 2023
% Result : Theorem 2.06s 0.69s
% Output : CNFRefutation 2.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV114+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n020.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 11:41:43 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.17/0.35 % Drodi V3.5.1
% 2.06/0.69 % Refutation found
% 2.06/0.69 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.06/0.69 % SZS output start CNFRefutation for theBenchmark
% 2.06/0.69 fof(f1,axiom,(
% 2.06/0.69 (! [X,Y] :( gt(X,Y)| gt(Y,X)| X = Y ) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f2,axiom,(
% 2.06/0.69 (! [X,Y,Z] :( ( gt(X,Y)& gt(Y,Z) )=> gt(X,Z) ) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f3,axiom,(
% 2.06/0.69 (! [X] : ~ gt(X,X) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f4,axiom,(
% 2.06/0.69 (! [X] : leq(X,X) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f5,axiom,(
% 2.06/0.69 (! [X,Y,Z] :( ( leq(X,Y)& leq(Y,Z) )=> leq(X,Z) ) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f8,axiom,(
% 2.06/0.69 (! [X,Y] :( gt(Y,X)=> leq(X,Y) ) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f9,axiom,(
% 2.06/0.69 (! [X,Y] :( ( leq(X,Y)& X != Y )=> gt(Y,X) ) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f11,axiom,(
% 2.06/0.69 (! [X] : gt(succ(X),X) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f14,axiom,(
% 2.06/0.69 (! [X,C] :( leq(n0,X)=> leq(uniform_int_rnd(C,X),X) ) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f28,axiom,(
% 2.06/0.69 succ(tptp_minus_1) = n0 ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f29,axiom,(
% 2.06/0.69 (! [X] : plus(X,n1) = succ(X) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f31,axiom,(
% 2.06/0.69 (! [X] : plus(X,n2) = succ(succ(X)) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f34,axiom,(
% 2.06/0.69 (! [X] : plus(n3,X) = succ(succ(succ(X))) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f39,axiom,(
% 2.06/0.69 (! [X] : minus(X,n1) = pred(X) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f40,axiom,(
% 2.06/0.69 (! [X] : pred(succ(X)) = X )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f41,axiom,(
% 2.06/0.69 (! [X] : succ(pred(X)) = X )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f53,conjecture,(
% 2.06/0.69 ( ( leq(n0,pv5)& leq(pv5,minus(n999,n1))& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,minus(n6,n1))& leq(B,minus(n6,n1)) )=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,minus(n3,n1))& leq(D,minus(n3,n1)) )=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ))& (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,minus(n6,n1))& leq(F,minus(n6,n1)) )=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) ))=> ( leq(n0,pv5)& leq(pv5,minus(n999,n1))& (! [G,H] :( ( leq(n0,G)& leq(n0,H)& leq(G,minus(n6,n1))& leq(H,minus(n6,n1)) )=> a_select3(q_ds1_filter,G,H) = a_select3(q_ds1_filter,H,G) ))& (! [I,J] :( ( leq(n0,I)& leq(n0,J)& leq(I,minus(n3,n1))& leq(J,minus(n3,n1)) )=> a_select3(r_ds1_filter,I,J) = a_select3(r_ds1_filter,J,I) ))& (! [K,L] :( ( leq(n0,K)& leq(n0,L)& leq(K,minus(n6,n1))& leq(L,minus(n6,n1)) )=> a_select3(pminus_ds1_filter,K,L) = a_select3(pminus_ds1_filter,L,K) ))& (! [M] :( ( leq(n0,M)& leq(M,minus(n0,n1)) )=> (! [N] :( ( leq(n0,N)& leq(N,minus(n6,n1)) )=> a_select3(id_ds1_filter,M,N) = a_select3(id_ds1_filter,N,M) ) )) )) ) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f54,negated_conjecture,(
% 2.06/0.69 ~(( ( leq(n0,pv5)& leq(pv5,minus(n999,n1))& (! [A,B] :( ( leq(n0,A)& leq(n0,B)& leq(A,minus(n6,n1))& leq(B,minus(n6,n1)) )=> a_select3(q_ds1_filter,A,B) = a_select3(q_ds1_filter,B,A) ))& (! [C,D] :( ( leq(n0,C)& leq(n0,D)& leq(C,minus(n3,n1))& leq(D,minus(n3,n1)) )=> a_select3(r_ds1_filter,C,D) = a_select3(r_ds1_filter,D,C) ))& (! [E,F] :( ( leq(n0,E)& leq(n0,F)& leq(E,minus(n6,n1))& leq(F,minus(n6,n1)) )=> a_select3(pminus_ds1_filter,E,F) = a_select3(pminus_ds1_filter,F,E) ) ))=> ( leq(n0,pv5)& leq(pv5,minus(n999,n1))& (! [G,H] :( ( leq(n0,G)& leq(n0,H)& leq(G,minus(n6,n1))& leq(H,minus(n6,n1)) )=> a_select3(q_ds1_filter,G,H) = a_select3(q_ds1_filter,H,G) ))& (! [I,J] :( ( leq(n0,I)& leq(n0,J)& leq(I,minus(n3,n1))& leq(J,minus(n3,n1)) )=> a_select3(r_ds1_filter,I,J) = a_select3(r_ds1_filter,J,I) ))& (! [K,L] :( ( leq(n0,K)& leq(n0,L)& leq(K,minus(n6,n1))& leq(L,minus(n6,n1)) )=> a_select3(pminus_ds1_filter,K,L) = a_select3(pminus_ds1_filter,L,K) ))& (! [M] :( ( leq(n0,M)& leq(M,minus(n0,n1)) )=> (! [N] :( ( leq(n0,N)& leq(N,minus(n6,n1)) )=> a_select3(id_ds1_filter,M,N) = a_select3(id_ds1_filter,N,M) ) )) )) ) )),
% 2.06/0.69 inference(negated_conjecture,[status(cth)],[f53])).
% 2.06/0.69 fof(f65,axiom,(
% 2.06/0.69 gt(n0,tptp_minus_1) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f70,axiom,(
% 2.06/0.69 gt(n5,n0) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f73,axiom,(
% 2.06/0.69 gt(n1,n0) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f74,axiom,(
% 2.06/0.69 gt(n2,n0) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f77,axiom,(
% 2.06/0.69 gt(n5,n1) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f80,axiom,(
% 2.06/0.69 gt(n2,n1) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f81,axiom,(
% 2.06/0.69 gt(n3,n1) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f83,axiom,(
% 2.06/0.69 gt(n5,n2) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f86,axiom,(
% 2.06/0.69 gt(n3,n2) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f88,axiom,(
% 2.06/0.69 gt(n5,n3) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f90,axiom,(
% 2.06/0.69 gt(n999,n3) ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f94,axiom,(
% 2.06/0.69 (! [X] :( ( leq(n0,X)& leq(X,n0) )=> X = n0 ) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f95,axiom,(
% 2.06/0.69 (! [X] :( ( leq(n0,X)& leq(X,n1) )=> ( X = n0| X = n1 ) ) )),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f99,axiom,(
% 2.06/0.69 succ(succ(succ(succ(succ(n0))))) = n5 ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f100,axiom,(
% 2.06/0.69 succ(succ(succ(succ(succ(succ(n0)))))) = n6 ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f101,axiom,(
% 2.06/0.69 succ(n0) = n1 ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f102,axiom,(
% 2.06/0.69 succ(succ(n0)) = n2 ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f103,axiom,(
% 2.06/0.69 succ(succ(succ(n0))) = n3 ),
% 2.06/0.69 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.06/0.69 fof(f104,plain,(
% 2.06/0.69 ![X0,X1]: (gt(X0,X1)|gt(X1,X0)|X0=X1)),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f1])).
% 2.06/0.69 fof(f105,plain,(
% 2.06/0.69 ![X,Y,Z]: ((~gt(X,Y)|~gt(Y,Z))|gt(X,Z))),
% 2.06/0.69 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 2.06/0.69 fof(f106,plain,(
% 2.06/0.69 ![X,Z]: ((![Y]: (~gt(X,Y)|~gt(Y,Z)))|gt(X,Z))),
% 2.06/0.69 inference(miniscoping,[status(esa)],[f105])).
% 2.06/0.69 fof(f107,plain,(
% 2.06/0.69 ![X0,X1,X2]: (~gt(X0,X1)|~gt(X1,X2)|gt(X0,X2))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f106])).
% 2.06/0.69 fof(f108,plain,(
% 2.06/0.69 ![X0]: (~gt(X0,X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f3])).
% 2.06/0.69 fof(f109,plain,(
% 2.06/0.69 ![X0]: (leq(X0,X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f4])).
% 2.06/0.69 fof(f110,plain,(
% 2.06/0.69 ![X,Y,Z]: ((~leq(X,Y)|~leq(Y,Z))|leq(X,Z))),
% 2.06/0.69 inference(pre_NNF_transformation,[status(esa)],[f5])).
% 2.06/0.69 fof(f111,plain,(
% 2.06/0.69 ![X,Z]: ((![Y]: (~leq(X,Y)|~leq(Y,Z)))|leq(X,Z))),
% 2.06/0.69 inference(miniscoping,[status(esa)],[f110])).
% 2.06/0.69 fof(f112,plain,(
% 2.06/0.69 ![X0,X1,X2]: (~leq(X0,X1)|~leq(X1,X2)|leq(X0,X2))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f111])).
% 2.06/0.69 fof(f121,plain,(
% 2.06/0.69 ![X,Y]: (~gt(Y,X)|leq(X,Y))),
% 2.06/0.69 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 2.06/0.69 fof(f122,plain,(
% 2.06/0.69 ![X0,X1]: (~gt(X0,X1)|leq(X1,X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f121])).
% 2.06/0.69 fof(f123,plain,(
% 2.06/0.69 ![X,Y]: ((~leq(X,Y)|X=Y)|gt(Y,X))),
% 2.06/0.69 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 2.06/0.69 fof(f124,plain,(
% 2.06/0.69 ![X0,X1]: (~leq(X0,X1)|X0=X1|gt(X1,X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f123])).
% 2.06/0.69 fof(f129,plain,(
% 2.06/0.69 ![X0]: (gt(succ(X0),X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f11])).
% 2.06/0.69 fof(f136,plain,(
% 2.06/0.69 ![X,C]: (~leq(n0,X)|leq(uniform_int_rnd(C,X),X))),
% 2.06/0.69 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 2.06/0.69 fof(f137,plain,(
% 2.06/0.69 ![X]: (~leq(n0,X)|(![C]: leq(uniform_int_rnd(C,X),X)))),
% 2.06/0.69 inference(miniscoping,[status(esa)],[f136])).
% 2.06/0.69 fof(f138,plain,(
% 2.06/0.69 ![X0,X1]: (~leq(n0,X0)|leq(uniform_int_rnd(X1,X0),X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f137])).
% 2.06/0.69 fof(f216,plain,(
% 2.06/0.69 succ(tptp_minus_1)=n0),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f28])).
% 2.06/0.69 fof(f217,plain,(
% 2.06/0.69 ![X0]: (plus(X0,n1)=succ(X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f29])).
% 2.06/0.69 fof(f219,plain,(
% 2.06/0.69 ![X0]: (plus(X0,n2)=succ(succ(X0)))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f31])).
% 2.06/0.69 fof(f222,plain,(
% 2.06/0.69 ![X0]: (plus(n3,X0)=succ(succ(succ(X0))))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f34])).
% 2.06/0.69 fof(f227,plain,(
% 2.06/0.69 ![X0]: (minus(X0,n1)=pred(X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f39])).
% 2.06/0.69 fof(f228,plain,(
% 2.06/0.69 ![X0]: (pred(succ(X0))=X0)),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f40])).
% 2.06/0.69 fof(f229,plain,(
% 2.06/0.69 ![X0]: (succ(pred(X0))=X0)),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f41])).
% 2.06/0.69 fof(f261,plain,(
% 2.06/0.69 (((((leq(n0,pv5)&leq(pv5,minus(n999,n1)))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,minus(n6,n1)))|~leq(B,minus(n6,n1)))|a_select3(q_ds1_filter,A,B)=a_select3(q_ds1_filter,B,A))))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,minus(n3,n1)))|~leq(D,minus(n3,n1)))|a_select3(r_ds1_filter,C,D)=a_select3(r_ds1_filter,D,C))))&(![E,F]: ((((~leq(n0,E)|~leq(n0,F))|~leq(E,minus(n6,n1)))|~leq(F,minus(n6,n1)))|a_select3(pminus_ds1_filter,E,F)=a_select3(pminus_ds1_filter,F,E))))&(((((~leq(n0,pv5)|~leq(pv5,minus(n999,n1)))|(?[G,H]: ((((leq(n0,G)&leq(n0,H))&leq(G,minus(n6,n1)))&leq(H,minus(n6,n1)))&~a_select3(q_ds1_filter,G,H)=a_select3(q_ds1_filter,H,G))))|(?[I,J]: ((((leq(n0,I)&leq(n0,J))&leq(I,minus(n3,n1)))&leq(J,minus(n3,n1)))&~a_select3(r_ds1_filter,I,J)=a_select3(r_ds1_filter,J,I))))|(?[K,L]: ((((leq(n0,K)&leq(n0,L))&leq(K,minus(n6,n1)))&leq(L,minus(n6,n1)))&~a_select3(pminus_ds1_filter,K,L)=a_select3(pminus_ds1_filter,L,K))))|(?[M]: ((leq(n0,M)&leq(M,minus(n0,n1)))&(?[N]: ((leq(n0,N)&leq(N,minus(n6,n1)))&~a_select3(id_ds1_filter,M,N)=a_select3(id_ds1_filter,N,M)))))))),
% 2.06/0.69 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 2.06/0.69 fof(f262,plain,(
% 2.06/0.69 ![G,H]: (pd0_3(H,G)=>((((leq(n0,G)&leq(n0,H))&leq(G,minus(n6,n1)))&leq(H,minus(n6,n1)))&~a_select3(q_ds1_filter,G,H)=a_select3(q_ds1_filter,H,G)))),
% 2.06/0.69 introduced(predicate_definition,[f261])).
% 2.06/0.69 fof(f263,plain,(
% 2.06/0.69 ![I,J]: (pd0_4(J,I)=>((((leq(n0,I)&leq(n0,J))&leq(I,minus(n3,n1)))&leq(J,minus(n3,n1)))&~a_select3(r_ds1_filter,I,J)=a_select3(r_ds1_filter,J,I)))),
% 2.06/0.69 introduced(predicate_definition,[f261])).
% 2.06/0.69 fof(f264,plain,(
% 2.06/0.69 ![K,L]: (pd0_5(L,K)=>((((leq(n0,K)&leq(n0,L))&leq(K,minus(n6,n1)))&leq(L,minus(n6,n1)))&~a_select3(pminus_ds1_filter,K,L)=a_select3(pminus_ds1_filter,L,K)))),
% 2.06/0.69 introduced(predicate_definition,[f261])).
% 2.06/0.69 fof(f265,plain,(
% 2.06/0.69 ((((leq(n0,pv5)&leq(pv5,minus(n999,n1)))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,minus(n6,n1)))|~leq(B,minus(n6,n1)))|a_select3(q_ds1_filter,A,B)=a_select3(q_ds1_filter,B,A))))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,minus(n3,n1)))|~leq(D,minus(n3,n1)))|a_select3(r_ds1_filter,C,D)=a_select3(r_ds1_filter,D,C))))&(![E,F]: ((((~leq(n0,E)|~leq(n0,F))|~leq(E,minus(n6,n1)))|~leq(F,minus(n6,n1)))|a_select3(pminus_ds1_filter,E,F)=a_select3(pminus_ds1_filter,F,E))))&(((((~leq(n0,pv5)|~leq(pv5,minus(n999,n1)))|(?[G,H]: pd0_3(H,G)))|(?[I,J]: pd0_4(J,I)))|(?[K,L]: pd0_5(L,K)))|(?[M]: ((leq(n0,M)&leq(M,minus(n0,n1)))&(?[N]: ((leq(n0,N)&leq(N,minus(n6,n1)))&~a_select3(id_ds1_filter,M,N)=a_select3(id_ds1_filter,N,M))))))),
% 2.06/0.69 inference(formula_renaming,[status(thm)],[f261,f264,f263,f262])).
% 2.06/0.69 fof(f266,plain,(
% 2.06/0.69 ((((leq(n0,pv5)&leq(pv5,minus(n999,n1)))&(![A,B]: ((((~leq(n0,A)|~leq(n0,B))|~leq(A,minus(n6,n1)))|~leq(B,minus(n6,n1)))|a_select3(q_ds1_filter,A,B)=a_select3(q_ds1_filter,B,A))))&(![C,D]: ((((~leq(n0,C)|~leq(n0,D))|~leq(C,minus(n3,n1)))|~leq(D,minus(n3,n1)))|a_select3(r_ds1_filter,C,D)=a_select3(r_ds1_filter,D,C))))&(![E,F]: ((((~leq(n0,E)|~leq(n0,F))|~leq(E,minus(n6,n1)))|~leq(F,minus(n6,n1)))|a_select3(pminus_ds1_filter,E,F)=a_select3(pminus_ds1_filter,F,E))))&(((((~leq(n0,pv5)|~leq(pv5,minus(n999,n1)))|pd0_3(sk0_24,sk0_23))|pd0_4(sk0_26,sk0_25))|pd0_5(sk0_28,sk0_27))|((leq(n0,sk0_29)&leq(sk0_29,minus(n0,n1)))&((leq(n0,sk0_30)&leq(sk0_30,minus(n6,n1)))&~a_select3(id_ds1_filter,sk0_29,sk0_30)=a_select3(id_ds1_filter,sk0_30,sk0_29))))),
% 2.06/0.69 inference(skolemization,[status(esa)],[f265])).
% 2.06/0.69 fof(f267,plain,(
% 2.06/0.69 leq(n0,pv5)),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.69 fof(f268,plain,(
% 2.06/0.69 leq(pv5,minus(n999,n1))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.69 fof(f269,plain,(
% 2.06/0.69 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,minus(n6,n1))|~leq(X1,minus(n6,n1))|a_select3(q_ds1_filter,X0,X1)=a_select3(q_ds1_filter,X1,X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.69 fof(f270,plain,(
% 2.06/0.69 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,minus(n3,n1))|~leq(X1,minus(n3,n1))|a_select3(r_ds1_filter,X0,X1)=a_select3(r_ds1_filter,X1,X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.69 fof(f271,plain,(
% 2.06/0.69 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,minus(n6,n1))|~leq(X1,minus(n6,n1))|a_select3(pminus_ds1_filter,X0,X1)=a_select3(pminus_ds1_filter,X1,X0))),
% 2.06/0.69 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.69 fof(f272,plain,(
% 2.06/0.70 ~leq(n0,pv5)|~leq(pv5,minus(n999,n1))|pd0_3(sk0_24,sk0_23)|pd0_4(sk0_26,sk0_25)|pd0_5(sk0_28,sk0_27)|leq(n0,sk0_29)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.70 fof(f273,plain,(
% 2.06/0.70 ~leq(n0,pv5)|~leq(pv5,minus(n999,n1))|pd0_3(sk0_24,sk0_23)|pd0_4(sk0_26,sk0_25)|pd0_5(sk0_28,sk0_27)|leq(sk0_29,minus(n0,n1))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.70 fof(f274,plain,(
% 2.06/0.70 ~leq(n0,pv5)|~leq(pv5,minus(n999,n1))|pd0_3(sk0_24,sk0_23)|pd0_4(sk0_26,sk0_25)|pd0_5(sk0_28,sk0_27)|leq(n0,sk0_30)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.70 fof(f275,plain,(
% 2.06/0.70 ~leq(n0,pv5)|~leq(pv5,minus(n999,n1))|pd0_3(sk0_24,sk0_23)|pd0_4(sk0_26,sk0_25)|pd0_5(sk0_28,sk0_27)|leq(sk0_30,minus(n6,n1))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.70 fof(f276,plain,(
% 2.06/0.70 ~leq(n0,pv5)|~leq(pv5,minus(n999,n1))|pd0_3(sk0_24,sk0_23)|pd0_4(sk0_26,sk0_25)|pd0_5(sk0_28,sk0_27)|~a_select3(id_ds1_filter,sk0_29,sk0_30)=a_select3(id_ds1_filter,sk0_30,sk0_29)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f266])).
% 2.06/0.70 fof(f287,plain,(
% 2.06/0.70 gt(n0,tptp_minus_1)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f65])).
% 2.06/0.70 fof(f292,plain,(
% 2.06/0.70 gt(n5,n0)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f70])).
% 2.06/0.70 fof(f295,plain,(
% 2.06/0.70 gt(n1,n0)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f73])).
% 2.06/0.70 fof(f296,plain,(
% 2.06/0.70 gt(n2,n0)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f74])).
% 2.06/0.70 fof(f299,plain,(
% 2.06/0.70 gt(n5,n1)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f77])).
% 2.06/0.70 fof(f302,plain,(
% 2.06/0.70 gt(n2,n1)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f80])).
% 2.06/0.70 fof(f303,plain,(
% 2.06/0.70 gt(n3,n1)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f81])).
% 2.06/0.70 fof(f305,plain,(
% 2.06/0.70 gt(n5,n2)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f83])).
% 2.06/0.70 fof(f308,plain,(
% 2.06/0.70 gt(n3,n2)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f86])).
% 2.06/0.70 fof(f310,plain,(
% 2.06/0.70 gt(n5,n3)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f88])).
% 2.06/0.70 fof(f312,plain,(
% 2.06/0.70 gt(n999,n3)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f90])).
% 2.06/0.70 fof(f319,plain,(
% 2.06/0.70 ![X]: ((~leq(n0,X)|~leq(X,n0))|X=n0)),
% 2.06/0.70 inference(pre_NNF_transformation,[status(esa)],[f94])).
% 2.06/0.70 fof(f320,plain,(
% 2.06/0.70 ![X0]: (~leq(n0,X0)|~leq(X0,n0)|X0=n0)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f319])).
% 2.06/0.70 fof(f321,plain,(
% 2.06/0.70 ![X]: ((~leq(n0,X)|~leq(X,n1))|(X=n0|X=n1))),
% 2.06/0.70 inference(pre_NNF_transformation,[status(esa)],[f95])).
% 2.06/0.70 fof(f322,plain,(
% 2.06/0.70 ![X0]: (~leq(n0,X0)|~leq(X0,n1)|X0=n0|X0=n1)),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f321])).
% 2.06/0.70 fof(f328,plain,(
% 2.06/0.70 succ(succ(succ(succ(succ(n0)))))=n5),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f99])).
% 2.06/0.70 fof(f329,plain,(
% 2.06/0.70 succ(succ(succ(succ(succ(succ(n0))))))=n6),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f100])).
% 2.06/0.70 fof(f330,plain,(
% 2.06/0.70 succ(n0)=n1),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f101])).
% 2.06/0.70 fof(f331,plain,(
% 2.06/0.70 succ(succ(n0))=n2),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f102])).
% 2.06/0.70 fof(f332,plain,(
% 2.06/0.70 succ(succ(succ(n0)))=n3),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f103])).
% 2.06/0.70 fof(f354,plain,(
% 2.06/0.70 ![G,H]: (~pd0_3(H,G)|((((leq(n0,G)&leq(n0,H))&leq(G,minus(n6,n1)))&leq(H,minus(n6,n1)))&~a_select3(q_ds1_filter,G,H)=a_select3(q_ds1_filter,H,G)))),
% 2.06/0.70 inference(pre_NNF_transformation,[status(esa)],[f262])).
% 2.06/0.70 fof(f355,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_3(X0,X1)|leq(n0,X1))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f354])).
% 2.06/0.70 fof(f356,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_3(X0,X1)|leq(n0,X0))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f354])).
% 2.06/0.70 fof(f357,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_3(X0,X1)|leq(X1,minus(n6,n1)))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f354])).
% 2.06/0.70 fof(f358,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_3(X0,X1)|leq(X0,minus(n6,n1)))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f354])).
% 2.06/0.70 fof(f359,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_3(X0,X1)|~a_select3(q_ds1_filter,X1,X0)=a_select3(q_ds1_filter,X0,X1))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f354])).
% 2.06/0.70 fof(f360,plain,(
% 2.06/0.70 ![I,J]: (~pd0_4(J,I)|((((leq(n0,I)&leq(n0,J))&leq(I,minus(n3,n1)))&leq(J,minus(n3,n1)))&~a_select3(r_ds1_filter,I,J)=a_select3(r_ds1_filter,J,I)))),
% 2.06/0.70 inference(pre_NNF_transformation,[status(esa)],[f263])).
% 2.06/0.70 fof(f361,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1)|leq(n0,X1))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f360])).
% 2.06/0.70 fof(f362,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1)|leq(n0,X0))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f360])).
% 2.06/0.70 fof(f363,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1)|leq(X1,minus(n3,n1)))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f360])).
% 2.06/0.70 fof(f364,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1)|leq(X0,minus(n3,n1)))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f360])).
% 2.06/0.70 fof(f365,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1)|~a_select3(r_ds1_filter,X1,X0)=a_select3(r_ds1_filter,X0,X1))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f360])).
% 2.06/0.70 fof(f366,plain,(
% 2.06/0.70 ![K,L]: (~pd0_5(L,K)|((((leq(n0,K)&leq(n0,L))&leq(K,minus(n6,n1)))&leq(L,minus(n6,n1)))&~a_select3(pminus_ds1_filter,K,L)=a_select3(pminus_ds1_filter,L,K)))),
% 2.06/0.70 inference(pre_NNF_transformation,[status(esa)],[f264])).
% 2.06/0.70 fof(f367,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_5(X0,X1)|leq(n0,X1))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f366])).
% 2.06/0.70 fof(f368,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_5(X0,X1)|leq(n0,X0))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f366])).
% 2.06/0.70 fof(f369,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_5(X0,X1)|leq(X1,minus(n6,n1)))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f366])).
% 2.06/0.70 fof(f370,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_5(X0,X1)|leq(X0,minus(n6,n1)))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f366])).
% 2.06/0.70 fof(f371,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_5(X0,X1)|~a_select3(pminus_ds1_filter,X1,X0)=a_select3(pminus_ds1_filter,X0,X1))),
% 2.06/0.70 inference(cnf_transformation,[status(esa)],[f366])).
% 2.06/0.70 fof(f378,plain,(
% 2.06/0.70 spl0_0 <=> leq(n0,pv5)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f380,plain,(
% 2.06/0.70 ~leq(n0,pv5)|spl0_0),
% 2.06/0.70 inference(component_clause,[status(thm)],[f378])).
% 2.06/0.70 fof(f381,plain,(
% 2.06/0.70 spl0_1 <=> leq(pv5,minus(n999,n1))),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f383,plain,(
% 2.06/0.70 ~leq(pv5,minus(n999,n1))|spl0_1),
% 2.06/0.70 inference(component_clause,[status(thm)],[f381])).
% 2.06/0.70 fof(f384,plain,(
% 2.06/0.70 spl0_2 <=> pd0_3(sk0_24,sk0_23)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f385,plain,(
% 2.06/0.70 pd0_3(sk0_24,sk0_23)|~spl0_2),
% 2.06/0.70 inference(component_clause,[status(thm)],[f384])).
% 2.06/0.70 fof(f387,plain,(
% 2.06/0.70 spl0_3 <=> pd0_4(sk0_26,sk0_25)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f388,plain,(
% 2.06/0.70 pd0_4(sk0_26,sk0_25)|~spl0_3),
% 2.06/0.70 inference(component_clause,[status(thm)],[f387])).
% 2.06/0.70 fof(f390,plain,(
% 2.06/0.70 spl0_4 <=> pd0_5(sk0_28,sk0_27)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f391,plain,(
% 2.06/0.70 pd0_5(sk0_28,sk0_27)|~spl0_4),
% 2.06/0.70 inference(component_clause,[status(thm)],[f390])).
% 2.06/0.70 fof(f393,plain,(
% 2.06/0.70 spl0_5 <=> leq(n0,sk0_29)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f394,plain,(
% 2.06/0.70 leq(n0,sk0_29)|~spl0_5),
% 2.06/0.70 inference(component_clause,[status(thm)],[f393])).
% 2.06/0.70 fof(f396,plain,(
% 2.06/0.70 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|spl0_5),
% 2.06/0.70 inference(split_clause,[status(thm)],[f272,f378,f381,f384,f387,f390,f393])).
% 2.06/0.70 fof(f397,plain,(
% 2.06/0.70 spl0_6 <=> leq(sk0_29,minus(n0,n1))),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f398,plain,(
% 2.06/0.70 leq(sk0_29,minus(n0,n1))|~spl0_6),
% 2.06/0.70 inference(component_clause,[status(thm)],[f397])).
% 2.06/0.70 fof(f400,plain,(
% 2.06/0.70 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|spl0_6),
% 2.06/0.70 inference(split_clause,[status(thm)],[f273,f378,f381,f384,f387,f390,f397])).
% 2.06/0.70 fof(f401,plain,(
% 2.06/0.70 spl0_7 <=> leq(n0,sk0_30)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f404,plain,(
% 2.06/0.70 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|spl0_7),
% 2.06/0.70 inference(split_clause,[status(thm)],[f274,f378,f381,f384,f387,f390,f401])).
% 2.06/0.70 fof(f405,plain,(
% 2.06/0.70 spl0_8 <=> leq(sk0_30,minus(n6,n1))),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f408,plain,(
% 2.06/0.70 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|spl0_8),
% 2.06/0.70 inference(split_clause,[status(thm)],[f275,f378,f381,f384,f387,f390,f405])).
% 2.06/0.70 fof(f409,plain,(
% 2.06/0.70 spl0_9 <=> a_select3(id_ds1_filter,sk0_29,sk0_30)=a_select3(id_ds1_filter,sk0_30,sk0_29)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f412,plain,(
% 2.06/0.70 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|~spl0_9),
% 2.06/0.70 inference(split_clause,[status(thm)],[f276,f378,f381,f384,f387,f390,f409])).
% 2.06/0.70 fof(f418,plain,(
% 2.06/0.70 leq(pv5,pred(n999))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f268])).
% 2.06/0.70 fof(f419,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n6))|~leq(X1,minus(n6,n1))|a_select3(q_ds1_filter,X0,X1)=a_select3(q_ds1_filter,X1,X0))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f269])).
% 2.06/0.70 fof(f420,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n6))|~leq(X1,pred(n6))|a_select3(q_ds1_filter,X0,X1)=a_select3(q_ds1_filter,X1,X0))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f419])).
% 2.06/0.70 fof(f421,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n3))|~leq(X1,minus(n3,n1))|a_select3(r_ds1_filter,X0,X1)=a_select3(r_ds1_filter,X1,X0))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f270])).
% 2.06/0.70 fof(f422,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n3))|~leq(X1,pred(n3))|a_select3(r_ds1_filter,X0,X1)=a_select3(r_ds1_filter,X1,X0))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f421])).
% 2.06/0.70 fof(f423,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n6))|~leq(X1,minus(n6,n1))|a_select3(pminus_ds1_filter,X0,X1)=a_select3(pminus_ds1_filter,X1,X0))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f271])).
% 2.06/0.70 fof(f424,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n6))|~leq(X1,pred(n6))|a_select3(pminus_ds1_filter,X0,X1)=a_select3(pminus_ds1_filter,X1,X0))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f423])).
% 2.06/0.70 fof(f426,plain,(
% 2.06/0.70 succ(plus(n3,succ(n0)))=n5),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f222,f328])).
% 2.06/0.70 fof(f427,plain,(
% 2.06/0.70 succ(plus(n3,succ(succ(n0))))=n6),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f222,f329])).
% 2.06/0.70 fof(f428,plain,(
% 2.06/0.70 succ(n1)=n2),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f330,f331])).
% 2.06/0.70 fof(f429,plain,(
% 2.06/0.70 succ(succ(n1))=n3),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f330,f332])).
% 2.06/0.70 fof(f430,plain,(
% 2.06/0.70 succ(n2)=n3),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f428,f429])).
% 2.06/0.70 fof(f431,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_3(X0,X1)|leq(X1,pred(n6)))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f357])).
% 2.06/0.70 fof(f432,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_3(X0,X1)|leq(X0,pred(n6)))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f358])).
% 2.06/0.70 fof(f433,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1)|leq(X1,pred(n3)))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f363])).
% 2.06/0.70 fof(f434,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1)|leq(X0,pred(n3)))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f364])).
% 2.06/0.70 fof(f435,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_5(X0,X1)|leq(X1,pred(n6)))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f369])).
% 2.06/0.70 fof(f436,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_5(X0,X1)|leq(X0,pred(n6)))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f370])).
% 2.06/0.70 fof(f437,plain,(
% 2.06/0.70 ~leq(pv5,pred(n999))|spl0_1),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f383])).
% 2.06/0.70 fof(f438,plain,(
% 2.06/0.70 $false|spl0_1),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f437,f418])).
% 2.06/0.70 fof(f439,plain,(
% 2.06/0.70 spl0_1),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f438])).
% 2.06/0.70 fof(f440,plain,(
% 2.06/0.70 succ(plus(n3,succ(n1)))=n6),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f330,f427])).
% 2.06/0.70 fof(f441,plain,(
% 2.06/0.70 succ(plus(n3,n2))=n6),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f428,f440])).
% 2.06/0.70 fof(f442,plain,(
% 2.06/0.70 succ(succ(succ(n3)))=n6),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f219,f441])).
% 2.06/0.70 fof(f443,plain,(
% 2.06/0.70 succ(plus(n3,n1))=n5),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f330,f426])).
% 2.06/0.70 fof(f444,plain,(
% 2.06/0.70 succ(succ(n3))=n5),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f217,f443])).
% 2.06/0.70 fof(f445,plain,(
% 2.06/0.70 $false|spl0_0),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f380,f267])).
% 2.06/0.70 fof(f446,plain,(
% 2.06/0.70 spl0_0),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f445])).
% 2.06/0.70 fof(f448,plain,(
% 2.06/0.70 succ(n5)=n6),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f444,f442])).
% 2.06/0.70 fof(f455,plain,(
% 2.06/0.70 pred(n0)=tptp_minus_1),
% 2.06/0.70 inference(paramodulation,[status(thm)],[f216,f228])).
% 2.06/0.70 fof(f456,plain,(
% 2.06/0.70 ![X0]: (gt(X0,pred(X0)))),
% 2.06/0.70 inference(paramodulation,[status(thm)],[f229,f129])).
% 2.06/0.70 fof(f478,plain,(
% 2.06/0.70 ![X0,X1]: (~gt(X0,X1)|~gt(X1,X0))),
% 2.06/0.70 inference(resolution,[status(thm)],[f107,f108])).
% 2.06/0.70 fof(f479,plain,(
% 2.06/0.70 leq(n0,sk0_27)|~spl0_4),
% 2.06/0.70 inference(resolution,[status(thm)],[f367,f391])).
% 2.06/0.70 fof(f489,plain,(
% 2.06/0.70 spl0_11 <=> leq(sk0_27,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f491,plain,(
% 2.06/0.70 ~leq(sk0_27,n0)|spl0_11),
% 2.06/0.70 inference(component_clause,[status(thm)],[f489])).
% 2.06/0.70 fof(f523,plain,(
% 2.06/0.70 spl0_15 <=> ~leq(X0,n0)|~leq(sk0_27,X0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f524,plain,(
% 2.06/0.70 ![X0]: (~leq(X0,n0)|~leq(sk0_27,X0)|~spl0_15)),
% 2.06/0.70 inference(component_clause,[status(thm)],[f523])).
% 2.06/0.70 fof(f536,plain,(
% 2.06/0.70 ~leq(sk0_27,n0)|~spl0_15),
% 2.06/0.70 inference(resolution,[status(thm)],[f524,f109])).
% 2.06/0.70 fof(f550,plain,(
% 2.06/0.70 leq(sk0_29,pred(n0))|~spl0_6),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f227,f398])).
% 2.06/0.70 fof(f551,plain,(
% 2.06/0.70 leq(sk0_29,tptp_minus_1)|~spl0_6),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f455,f550])).
% 2.06/0.70 fof(f571,plain,(
% 2.06/0.70 spl0_18 <=> leq(sk0_29,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f573,plain,(
% 2.06/0.70 ~leq(sk0_29,n0)|spl0_18),
% 2.06/0.70 inference(component_clause,[status(thm)],[f571])).
% 2.06/0.70 fof(f584,plain,(
% 2.06/0.70 spl0_20 <=> leq(pred(n6),n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f585,plain,(
% 2.06/0.70 leq(pred(n6),n0)|~spl0_20),
% 2.06/0.70 inference(component_clause,[status(thm)],[f584])).
% 2.06/0.70 fof(f613,plain,(
% 2.06/0.70 pred(n3)=n2),
% 2.06/0.70 inference(paramodulation,[status(thm)],[f430,f228])).
% 2.06/0.70 fof(f615,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n3))|~leq(X1,n2)|a_select3(r_ds1_filter,X0,X1)=a_select3(r_ds1_filter,X1,X0))),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f613,f422])).
% 2.06/0.70 fof(f616,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,n2)|~leq(X1,n2)|a_select3(r_ds1_filter,X0,X1)=a_select3(r_ds1_filter,X1,X0))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f613,f615])).
% 2.06/0.70 fof(f617,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1)|leq(X1,n2))),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f613,f433])).
% 2.06/0.70 fof(f620,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1)|leq(X0,n2))),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f613,f434])).
% 2.06/0.70 fof(f621,plain,(
% 2.06/0.70 pred(n6)=n5),
% 2.06/0.70 inference(paramodulation,[status(thm)],[f448,f228])).
% 2.06/0.70 fof(f623,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_3(X0,X1)|leq(X0,n5))),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f621,f432])).
% 2.06/0.70 fof(f624,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_3(X0,X1)|leq(X1,n5))),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f621,f431])).
% 2.06/0.70 fof(f625,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n6))|~leq(X1,n5)|a_select3(q_ds1_filter,X0,X1)=a_select3(q_ds1_filter,X1,X0))),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f621,f420])).
% 2.06/0.70 fof(f626,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,n5)|~leq(X1,n5)|a_select3(q_ds1_filter,X0,X1)=a_select3(q_ds1_filter,X1,X0))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f621,f625])).
% 2.06/0.70 fof(f633,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_5(X0,X1)|leq(X0,n5))),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f621,f436])).
% 2.06/0.70 fof(f634,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_5(X0,X1)|leq(X1,n5))),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f621,f435])).
% 2.06/0.70 fof(f635,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n6))|~leq(X1,n5)|a_select3(pminus_ds1_filter,X0,X1)=a_select3(pminus_ds1_filter,X1,X0))),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f621,f424])).
% 2.06/0.70 fof(f636,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,n5)|~leq(X1,n5)|a_select3(pminus_ds1_filter,X0,X1)=a_select3(pminus_ds1_filter,X1,X0))),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f621,f635])).
% 2.06/0.70 fof(f639,plain,(
% 2.06/0.70 spl0_22 <=> sk0_29=n0),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f640,plain,(
% 2.06/0.70 sk0_29=n0|~spl0_22),
% 2.06/0.70 inference(component_clause,[status(thm)],[f639])).
% 2.06/0.70 fof(f642,plain,(
% 2.06/0.70 ~leq(sk0_29,n0)|sk0_29=n0|~spl0_5),
% 2.06/0.70 inference(resolution,[status(thm)],[f320,f394])).
% 2.06/0.70 fof(f643,plain,(
% 2.06/0.70 ~spl0_18|spl0_22|~spl0_5),
% 2.06/0.70 inference(split_clause,[status(thm)],[f642,f571,f639,f393])).
% 2.06/0.70 fof(f649,plain,(
% 2.06/0.70 spl0_24 <=> leq(pv5,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f651,plain,(
% 2.06/0.70 ~leq(pv5,n0)|spl0_24),
% 2.06/0.70 inference(component_clause,[status(thm)],[f649])).
% 2.06/0.70 fof(f652,plain,(
% 2.06/0.70 spl0_25 <=> pv5=n0),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f653,plain,(
% 2.06/0.70 pv5=n0|~spl0_25),
% 2.06/0.70 inference(component_clause,[status(thm)],[f652])).
% 2.06/0.70 fof(f655,plain,(
% 2.06/0.70 ~leq(pv5,n0)|pv5=n0),
% 2.06/0.70 inference(resolution,[status(thm)],[f320,f267])).
% 2.06/0.70 fof(f656,plain,(
% 2.06/0.70 ~spl0_24|spl0_25),
% 2.06/0.70 inference(split_clause,[status(thm)],[f655,f649,f652])).
% 2.06/0.70 fof(f657,plain,(
% 2.06/0.70 spl0_26 <=> leq(n0,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f659,plain,(
% 2.06/0.70 ~leq(n0,n0)|spl0_26),
% 2.06/0.70 inference(component_clause,[status(thm)],[f657])).
% 2.06/0.70 fof(f667,plain,(
% 2.06/0.70 spl0_27 <=> n0=n0),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f670,plain,(
% 2.06/0.70 ~leq(n0,n0)|n0=n0),
% 2.06/0.70 inference(resolution,[status(thm)],[f320,f109])).
% 2.06/0.70 fof(f671,plain,(
% 2.06/0.70 ~spl0_26|spl0_27),
% 2.06/0.70 inference(split_clause,[status(thm)],[f670,f657,f667])).
% 2.06/0.70 fof(f672,plain,(
% 2.06/0.70 $false|spl0_26),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f659,f109])).
% 2.06/0.70 fof(f673,plain,(
% 2.06/0.70 spl0_26),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f672])).
% 2.06/0.70 fof(f674,plain,(
% 2.06/0.70 leq(n0,pred(n999))|~spl0_25),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f653,f418])).
% 2.06/0.70 fof(f676,plain,(
% 2.06/0.70 ~leq(n0,n0)|~spl0_25|spl0_24),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f653,f651])).
% 2.06/0.70 fof(f677,plain,(
% 2.06/0.70 ~spl0_26|~spl0_25|spl0_24),
% 2.06/0.70 inference(split_clause,[status(thm)],[f676,f657,f652,f649])).
% 2.06/0.70 fof(f688,plain,(
% 2.06/0.70 spl0_28 <=> leq(n0,n1)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f689,plain,(
% 2.06/0.70 leq(n0,n1)|~spl0_28),
% 2.06/0.70 inference(component_clause,[status(thm)],[f688])).
% 2.06/0.70 fof(f690,plain,(
% 2.06/0.70 ~leq(n0,n1)|spl0_28),
% 2.06/0.70 inference(component_clause,[status(thm)],[f688])).
% 2.06/0.70 fof(f691,plain,(
% 2.06/0.70 spl0_29 <=> n0=n1),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f692,plain,(
% 2.06/0.70 n0=n1|~spl0_29),
% 2.06/0.70 inference(component_clause,[status(thm)],[f691])).
% 2.06/0.70 fof(f693,plain,(
% 2.06/0.70 ~n0=n1|spl0_29),
% 2.06/0.70 inference(component_clause,[status(thm)],[f691])).
% 2.06/0.70 fof(f708,plain,(
% 2.06/0.70 gt(n0,n0)|~spl0_29),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f692,f295])).
% 2.06/0.70 fof(f709,plain,(
% 2.06/0.70 $false|~spl0_29),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f708,f108])).
% 2.06/0.70 fof(f710,plain,(
% 2.06/0.70 ~spl0_29),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f709])).
% 2.06/0.70 fof(f760,plain,(
% 2.06/0.70 spl0_32 <=> sk0_27=n0),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f761,plain,(
% 2.06/0.70 sk0_27=n0|~spl0_32),
% 2.06/0.70 inference(component_clause,[status(thm)],[f760])).
% 2.06/0.70 fof(f763,plain,(
% 2.06/0.70 ~leq(sk0_27,n0)|sk0_27=n0|~spl0_4),
% 2.06/0.70 inference(resolution,[status(thm)],[f479,f320])).
% 2.06/0.70 fof(f764,plain,(
% 2.06/0.70 ~spl0_11|spl0_32|~spl0_4),
% 2.06/0.70 inference(split_clause,[status(thm)],[f763,f489,f760,f390])).
% 2.06/0.70 fof(f767,plain,(
% 2.06/0.70 pd0_5(sk0_28,n0)|~spl0_32|~spl0_4),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f761,f391])).
% 2.06/0.70 fof(f768,plain,(
% 2.06/0.70 ~leq(n0,n0)|~spl0_32|spl0_11),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f761,f491])).
% 2.06/0.70 fof(f769,plain,(
% 2.06/0.70 ~spl0_26|~spl0_32|spl0_11),
% 2.06/0.70 inference(split_clause,[status(thm)],[f768,f657,f760,f489])).
% 2.06/0.70 fof(f777,plain,(
% 2.06/0.70 ~spl0_11|~spl0_15),
% 2.06/0.70 inference(split_clause,[status(thm)],[f536,f489,f523])).
% 2.06/0.70 fof(f800,plain,(
% 2.06/0.70 spl0_33 <=> leq(n5,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f802,plain,(
% 2.06/0.70 ~leq(n5,n0)|spl0_33),
% 2.06/0.70 inference(component_clause,[status(thm)],[f800])).
% 2.06/0.70 fof(f811,plain,(
% 2.06/0.70 spl0_35 <=> leq(sk0_23,n5)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f813,plain,(
% 2.06/0.70 ~leq(sk0_23,n5)|spl0_35),
% 2.06/0.70 inference(component_clause,[status(thm)],[f811])).
% 2.06/0.70 fof(f826,plain,(
% 2.06/0.70 leq(sk0_24,n5)|~spl0_2),
% 2.06/0.70 inference(resolution,[status(thm)],[f623,f385])).
% 2.06/0.70 fof(f827,plain,(
% 2.06/0.70 leq(sk0_23,n5)|~spl0_2),
% 2.06/0.70 inference(resolution,[status(thm)],[f624,f385])).
% 2.06/0.70 fof(f828,plain,(
% 2.06/0.70 $false|spl0_35|~spl0_2),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f827,f813])).
% 2.06/0.70 fof(f829,plain,(
% 2.06/0.70 spl0_35|~spl0_2),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f828])).
% 2.06/0.70 fof(f864,plain,(
% 2.06/0.70 ~gt(n1,n0)|spl0_28),
% 2.06/0.70 inference(resolution,[status(thm)],[f122,f690])).
% 2.06/0.70 fof(f865,plain,(
% 2.06/0.70 $false|spl0_28),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f864,f295])).
% 2.06/0.70 fof(f866,plain,(
% 2.06/0.70 spl0_28),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f865])).
% 2.06/0.70 fof(f867,plain,(
% 2.06/0.70 ~gt(n0,sk0_29)|spl0_18),
% 2.06/0.70 inference(resolution,[status(thm)],[f122,f573])).
% 2.06/0.70 fof(f877,plain,(
% 2.06/0.70 ~gt(n0,n2)),
% 2.06/0.70 inference(resolution,[status(thm)],[f478,f296])).
% 2.06/0.70 fof(f878,plain,(
% 2.06/0.70 ~gt(n1,n2)),
% 2.06/0.70 inference(resolution,[status(thm)],[f478,f302])).
% 2.06/0.70 fof(f881,plain,(
% 2.06/0.70 ~gt(n0,n1)),
% 2.06/0.70 inference(resolution,[status(thm)],[f478,f295])).
% 2.06/0.70 fof(f882,plain,(
% 2.06/0.70 ~gt(tptp_minus_1,n0)),
% 2.06/0.70 inference(resolution,[status(thm)],[f478,f287])).
% 2.06/0.70 fof(f889,plain,(
% 2.06/0.70 ~gt(n1,n5)),
% 2.06/0.70 inference(resolution,[status(thm)],[f478,f299])).
% 2.06/0.70 fof(f890,plain,(
% 2.06/0.70 ~gt(n3,n5)),
% 2.06/0.70 inference(resolution,[status(thm)],[f478,f310])).
% 2.06/0.70 fof(f907,plain,(
% 2.06/0.70 ~gt(n3,n999)),
% 2.06/0.70 inference(resolution,[status(thm)],[f478,f312])).
% 2.06/0.70 fof(f915,plain,(
% 2.06/0.70 spl0_36 <=> pv5=pred(n999)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f916,plain,(
% 2.06/0.70 pv5=pred(n999)|~spl0_36),
% 2.06/0.70 inference(component_clause,[status(thm)],[f915])).
% 2.06/0.70 fof(f918,plain,(
% 2.06/0.70 spl0_37 <=> gt(pred(n999),pv5)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f919,plain,(
% 2.06/0.70 gt(pred(n999),pv5)|~spl0_37),
% 2.06/0.70 inference(component_clause,[status(thm)],[f918])).
% 2.06/0.70 fof(f921,plain,(
% 2.06/0.70 pv5=pred(n999)|gt(pred(n999),pv5)),
% 2.06/0.70 inference(resolution,[status(thm)],[f124,f418])).
% 2.06/0.70 fof(f922,plain,(
% 2.06/0.70 spl0_36|spl0_37),
% 2.06/0.70 inference(split_clause,[status(thm)],[f921,f915,f918])).
% 2.06/0.70 fof(f936,plain,(
% 2.06/0.70 spl0_41 <=> sk0_29=tptp_minus_1),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f937,plain,(
% 2.06/0.70 sk0_29=tptp_minus_1|~spl0_41),
% 2.06/0.70 inference(component_clause,[status(thm)],[f936])).
% 2.06/0.70 fof(f939,plain,(
% 2.06/0.70 spl0_42 <=> gt(tptp_minus_1,sk0_29)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f940,plain,(
% 2.06/0.70 gt(tptp_minus_1,sk0_29)|~spl0_42),
% 2.06/0.70 inference(component_clause,[status(thm)],[f939])).
% 2.06/0.70 fof(f942,plain,(
% 2.06/0.70 sk0_29=tptp_minus_1|gt(tptp_minus_1,sk0_29)|~spl0_6),
% 2.06/0.70 inference(resolution,[status(thm)],[f124,f551])).
% 2.06/0.70 fof(f943,plain,(
% 2.06/0.70 spl0_41|spl0_42|~spl0_6),
% 2.06/0.70 inference(split_clause,[status(thm)],[f942,f936,f939,f397])).
% 2.06/0.70 fof(f957,plain,(
% 2.06/0.70 spl0_46 <=> gt(pv5,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f960,plain,(
% 2.06/0.70 n0=pv5|gt(pv5,n0)),
% 2.06/0.70 inference(resolution,[status(thm)],[f124,f267])).
% 2.06/0.70 fof(f961,plain,(
% 2.06/0.70 spl0_25|spl0_46),
% 2.06/0.70 inference(split_clause,[status(thm)],[f960,f652,f957])).
% 2.06/0.70 fof(f964,plain,(
% 2.06/0.70 gt(pv5,pv5)|~spl0_36|~spl0_37),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f916,f919])).
% 2.06/0.70 fof(f965,plain,(
% 2.06/0.70 $false|~spl0_36|~spl0_37),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f964,f108])).
% 2.06/0.70 fof(f966,plain,(
% 2.06/0.70 ~spl0_36|~spl0_37),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f965])).
% 2.06/0.70 fof(f1012,plain,(
% 2.06/0.70 spl0_47 <=> gt(n5,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1015,plain,(
% 2.06/0.70 spl0_48 <=> n5=n0),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1016,plain,(
% 2.06/0.70 n5=n0|~spl0_48),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1015])).
% 2.06/0.70 fof(f1023,plain,(
% 2.06/0.70 ~gt(n0,n5)),
% 2.06/0.70 inference(resolution,[status(thm)],[f478,f292])).
% 2.06/0.70 fof(f1024,plain,(
% 2.06/0.70 leq(n5,n0)|~spl0_20),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f621,f585])).
% 2.06/0.70 fof(f1025,plain,(
% 2.06/0.70 $false|spl0_33|~spl0_20),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1024,f802])).
% 2.06/0.70 fof(f1026,plain,(
% 2.06/0.70 spl0_33|~spl0_20),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1025])).
% 2.06/0.70 fof(f1031,plain,(
% 2.06/0.70 spl0_49 <=> gt(n1,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1036,plain,(
% 2.06/0.70 ![X0]: (~leq(X0,n0)|leq(X0,n1)|~spl0_28)),
% 2.06/0.70 inference(resolution,[status(thm)],[f689,f112])).
% 2.06/0.70 fof(f1107,plain,(
% 2.06/0.70 gt(n999,pv5)|~spl0_36),
% 2.06/0.70 inference(paramodulation,[status(thm)],[f916,f456])).
% 2.06/0.70 fof(f1108,plain,(
% 2.06/0.70 succ(pv5)=n999|~spl0_36),
% 2.06/0.70 inference(paramodulation,[status(thm)],[f916,f229])).
% 2.06/0.70 fof(f1113,plain,(
% 2.06/0.70 ![X0]: (~gt(n0,X0)|~gt(X0,sk0_29)|spl0_18)),
% 2.06/0.70 inference(resolution,[status(thm)],[f867,f107])).
% 2.06/0.70 fof(f1114,plain,(
% 2.06/0.70 spl0_54 <=> gt(sk0_29,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1115,plain,(
% 2.06/0.70 gt(sk0_29,n0)|~spl0_54),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1114])).
% 2.06/0.70 fof(f1117,plain,(
% 2.06/0.70 gt(sk0_29,n0)|sk0_29=n0|spl0_18),
% 2.06/0.70 inference(resolution,[status(thm)],[f867,f104])).
% 2.06/0.70 fof(f1118,plain,(
% 2.06/0.70 spl0_54|spl0_22|spl0_18),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1117,f1114,f639,f571])).
% 2.06/0.70 fof(f1119,plain,(
% 2.06/0.70 gt(tptp_minus_1,n0)|~spl0_22|~spl0_42),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f640,f940])).
% 2.06/0.70 fof(f1120,plain,(
% 2.06/0.70 $false|~spl0_22|~spl0_42),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1119,f882])).
% 2.06/0.70 fof(f1121,plain,(
% 2.06/0.70 ~spl0_22|~spl0_42),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1120])).
% 2.06/0.70 fof(f1125,plain,(
% 2.06/0.70 gt(tptp_minus_1,n0)|~spl0_41|~spl0_54),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f937,f1115])).
% 2.06/0.70 fof(f1126,plain,(
% 2.06/0.70 $false|~spl0_41|~spl0_54),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1125,f882])).
% 2.06/0.70 fof(f1127,plain,(
% 2.06/0.70 ~spl0_41|~spl0_54),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1126])).
% 2.06/0.70 fof(f1134,plain,(
% 2.06/0.70 gt(n0,n2)|~spl0_48),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f1016,f305])).
% 2.06/0.70 fof(f1135,plain,(
% 2.06/0.70 $false|~spl0_48),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1134,f877])).
% 2.06/0.70 fof(f1136,plain,(
% 2.06/0.70 ~spl0_48),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1135])).
% 2.06/0.70 fof(f1147,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,n2)|~leq(X1,n2)|~pd0_4(X1,X0))),
% 2.06/0.70 inference(resolution,[status(thm)],[f616,f365])).
% 2.06/0.70 fof(f1148,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(X0,n2)|~leq(X1,n2)|~pd0_4(X1,X0))),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1147,f362])).
% 2.06/0.70 fof(f1151,plain,(
% 2.06/0.70 gt(n1,n0)|n1=n0),
% 2.06/0.70 inference(resolution,[status(thm)],[f881,f104])).
% 2.06/0.70 fof(f1152,plain,(
% 2.06/0.70 spl0_49|spl0_29),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1151,f1031,f691])).
% 2.06/0.70 fof(f1234,plain,(
% 2.06/0.70 spl0_75 <=> leq(n1,n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1246,plain,(
% 2.06/0.70 spl0_76 <=> leq(n1,n1)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1248,plain,(
% 2.06/0.70 ~leq(n1,n1)|spl0_76),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1246])).
% 2.06/0.70 fof(f1249,plain,(
% 2.06/0.70 spl0_77 <=> n1=n1),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1254,plain,(
% 2.06/0.70 spl0_78 <=> leq(pv5,n1)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1256,plain,(
% 2.06/0.70 ~leq(pv5,n1)|spl0_78),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1254])).
% 2.06/0.70 fof(f1257,plain,(
% 2.06/0.70 spl0_79 <=> pv5=n1),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1258,plain,(
% 2.06/0.70 pv5=n1|~spl0_79),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1257])).
% 2.06/0.70 fof(f1260,plain,(
% 2.06/0.70 ~leq(pv5,n1)|pv5=n0|pv5=n1),
% 2.06/0.70 inference(resolution,[status(thm)],[f322,f267])).
% 2.06/0.70 fof(f1261,plain,(
% 2.06/0.70 ~spl0_78|spl0_25|spl0_79),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1260,f1254,f652,f1257])).
% 2.06/0.70 fof(f1267,plain,(
% 2.06/0.70 $false|spl0_76),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1248,f109])).
% 2.06/0.70 fof(f1268,plain,(
% 2.06/0.70 spl0_76),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1267])).
% 2.06/0.70 fof(f1288,plain,(
% 2.06/0.70 spl0_84 <=> gt(n2,n1)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1291,plain,(
% 2.06/0.70 spl0_85 <=> n2=n1),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1292,plain,(
% 2.06/0.70 n2=n1|~spl0_85),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1291])).
% 2.06/0.70 fof(f1294,plain,(
% 2.06/0.70 gt(n2,n1)|n2=n1),
% 2.06/0.70 inference(resolution,[status(thm)],[f878,f104])).
% 2.06/0.70 fof(f1295,plain,(
% 2.06/0.70 spl0_84|spl0_85),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1294,f1288,f1291])).
% 2.06/0.70 fof(f1485,plain,(
% 2.06/0.70 ~gt(pv5,n999)|~spl0_36),
% 2.06/0.70 inference(resolution,[status(thm)],[f1107,f478])).
% 2.06/0.70 fof(f1539,plain,(
% 2.06/0.70 gt(n1,n1)|~spl0_85),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f1292,f302])).
% 2.06/0.70 fof(f1540,plain,(
% 2.06/0.70 $false|~spl0_85),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1539,f108])).
% 2.06/0.70 fof(f1541,plain,(
% 2.06/0.70 ~spl0_85),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1540])).
% 2.06/0.70 fof(f1542,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(X0,n2)|~leq(X1,n2)|~pd0_4(X1,X0))),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1148,f361])).
% 2.06/0.70 fof(f1551,plain,(
% 2.06/0.70 spl0_113 <=> gt(n999,pv5)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1554,plain,(
% 2.06/0.70 spl0_114 <=> n999=pv5),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1557,plain,(
% 2.06/0.70 gt(n999,pv5)|n999=pv5|~spl0_36),
% 2.06/0.70 inference(resolution,[status(thm)],[f1485,f104])).
% 2.06/0.70 fof(f1558,plain,(
% 2.06/0.70 spl0_113|spl0_114|~spl0_36),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1557,f1551,f1554,f915])).
% 2.06/0.70 fof(f1583,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(X0,n2)|~pd0_4(X1,X0))),
% 2.06/0.70 inference(backward_subsumption_resolution,[status(thm)],[f1542,f620])).
% 2.06/0.70 fof(f1584,plain,(
% 2.06/0.70 ![X0,X1]: (~pd0_4(X0,X1))),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1583,f617])).
% 2.06/0.70 fof(f1599,plain,(
% 2.06/0.70 $false|~spl0_3),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f388,f1584])).
% 2.06/0.70 fof(f1600,plain,(
% 2.06/0.70 ~spl0_3),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1599])).
% 2.06/0.70 fof(f1655,plain,(
% 2.06/0.70 succ(n0)=n999|~spl0_25|~spl0_36),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f653,f1108])).
% 2.06/0.70 fof(f1656,plain,(
% 2.06/0.70 n1=n999|~spl0_25|~spl0_36),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f330,f1655])).
% 2.06/0.70 fof(f1677,plain,(
% 2.06/0.70 ~gt(n3,n1)|~spl0_25|~spl0_36),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f1656,f907])).
% 2.06/0.70 fof(f1678,plain,(
% 2.06/0.70 $false|~spl0_25|~spl0_36),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1677,f303])).
% 2.06/0.70 fof(f1679,plain,(
% 2.06/0.70 ~spl0_25|~spl0_36),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1678])).
% 2.06/0.70 fof(f1682,plain,(
% 2.06/0.70 gt(pred(n999),n0)|~spl0_25|~spl0_37),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f653,f919])).
% 2.06/0.70 fof(f1683,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,n5)|~leq(X1,n5)|~pd0_5(X1,X0))),
% 2.06/0.70 inference(resolution,[status(thm)],[f636,f371])).
% 2.06/0.70 fof(f1684,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(X0,n5)|~leq(X1,n5)|~pd0_5(X1,X0))),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1683,f368])).
% 2.06/0.70 fof(f1727,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,n5)|~leq(X1,n5)|~pd0_3(X1,X0))),
% 2.06/0.70 inference(resolution,[status(thm)],[f626,f359])).
% 2.06/0.70 fof(f1728,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(n0,X0)|~leq(X0,n5)|~leq(X1,n5)|~pd0_3(X1,X0))),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1727,f356])).
% 2.06/0.70 fof(f1747,plain,(
% 2.06/0.70 gt(n5,n0)|n5=n0),
% 2.06/0.70 inference(resolution,[status(thm)],[f1023,f104])).
% 2.06/0.70 fof(f1748,plain,(
% 2.06/0.70 spl0_47|spl0_48),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1747,f1012,f1015])).
% 2.06/0.70 fof(f1798,plain,(
% 2.06/0.70 spl0_129 <=> gt(n5,n1)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1801,plain,(
% 2.06/0.70 spl0_130 <=> n5=n1),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1802,plain,(
% 2.06/0.70 n5=n1|~spl0_130),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1801])).
% 2.06/0.70 fof(f1804,plain,(
% 2.06/0.70 gt(n5,n1)|n5=n1),
% 2.06/0.70 inference(resolution,[status(thm)],[f889,f104])).
% 2.06/0.70 fof(f1805,plain,(
% 2.06/0.70 spl0_129|spl0_130),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1804,f1798,f1801])).
% 2.06/0.70 fof(f1830,plain,(
% 2.06/0.70 spl0_131 <=> leq(n5,n1)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1842,plain,(
% 2.06/0.70 ~gt(n3,n1)|~spl0_130),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f1802,f890])).
% 2.06/0.70 fof(f1843,plain,(
% 2.06/0.70 $false|~spl0_130),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1842,f303])).
% 2.06/0.70 fof(f1844,plain,(
% 2.06/0.70 ~spl0_130),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1843])).
% 2.06/0.70 fof(f1845,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(X0,n5)|~leq(X1,n5)|~pd0_3(X1,X0))),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1728,f355])).
% 2.06/0.70 fof(f1846,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(X0,n5)|~leq(X1,n5)|~pd0_5(X1,X0))),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1684,f367])).
% 2.06/0.70 fof(f1853,plain,(
% 2.06/0.70 spl0_132 <=> leq(pred(n999),n1)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1855,plain,(
% 2.06/0.70 ~leq(pred(n999),n1)|spl0_132),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1853])).
% 2.06/0.70 fof(f1856,plain,(
% 2.06/0.70 spl0_133 <=> pred(n999)=n0),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1857,plain,(
% 2.06/0.70 pred(n999)=n0|~spl0_133),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1856])).
% 2.06/0.70 fof(f1859,plain,(
% 2.06/0.70 spl0_134 <=> pred(n999)=n1),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1860,plain,(
% 2.06/0.70 pred(n999)=n1|~spl0_134),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1859])).
% 2.06/0.70 fof(f1862,plain,(
% 2.06/0.70 ~leq(pred(n999),n1)|pred(n999)=n0|pred(n999)=n1|~spl0_25),
% 2.06/0.70 inference(resolution,[status(thm)],[f674,f322])).
% 2.06/0.70 fof(f1863,plain,(
% 2.06/0.70 ~spl0_132|spl0_133|spl0_134|~spl0_25),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1862,f1853,f1856,f1859,f652])).
% 2.06/0.70 fof(f1864,plain,(
% 2.06/0.70 spl0_135 <=> leq(pred(n999),n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1866,plain,(
% 2.06/0.70 ~leq(pred(n999),n0)|spl0_135),
% 2.06/0.70 inference(component_clause,[status(thm)],[f1864])).
% 2.06/0.70 fof(f1867,plain,(
% 2.06/0.70 ~leq(pred(n999),n0)|pred(n999)=n0|~spl0_25),
% 2.06/0.70 inference(resolution,[status(thm)],[f674,f320])).
% 2.06/0.70 fof(f1868,plain,(
% 2.06/0.70 ~spl0_135|spl0_133|~spl0_25),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1867,f1864,f1856,f652])).
% 2.06/0.70 fof(f1870,plain,(
% 2.06/0.70 spl0_136 <=> gt(pred(n999),n0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1873,plain,(
% 2.06/0.70 n0=pred(n999)|gt(pred(n999),n0)|~spl0_25),
% 2.06/0.70 inference(resolution,[status(thm)],[f674,f124])).
% 2.06/0.70 fof(f1874,plain,(
% 2.06/0.70 spl0_133|spl0_136|~spl0_25),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1873,f1856,f1870,f652])).
% 2.06/0.70 fof(f1879,plain,(
% 2.06/0.70 ~leq(n0,n0)|~spl0_133|spl0_135),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f1857,f1866])).
% 2.06/0.70 fof(f1880,plain,(
% 2.06/0.70 ~spl0_26|~spl0_133|spl0_135),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1879,f657,f1856,f1864])).
% 2.06/0.70 fof(f1881,plain,(
% 2.06/0.70 gt(n0,n0)|~spl0_133|~spl0_25|~spl0_37),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f1857,f1682])).
% 2.06/0.70 fof(f1882,plain,(
% 2.06/0.70 $false|~spl0_133|~spl0_25|~spl0_37),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1881,f108])).
% 2.06/0.70 fof(f1883,plain,(
% 2.06/0.70 ~spl0_133|~spl0_25|~spl0_37),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1882])).
% 2.06/0.70 fof(f1893,plain,(
% 2.06/0.70 ~gt(n1,pred(n999))|spl0_132),
% 2.06/0.70 inference(resolution,[status(thm)],[f1855,f122])).
% 2.06/0.70 fof(f1907,plain,(
% 2.06/0.70 spl0_137 <=> gt(pred(n999),n1)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f1910,plain,(
% 2.06/0.70 gt(pred(n999),n1)|pred(n999)=n1|spl0_132),
% 2.06/0.70 inference(resolution,[status(thm)],[f1893,f104])).
% 2.06/0.70 fof(f1911,plain,(
% 2.06/0.70 spl0_137|spl0_134|spl0_132),
% 2.06/0.70 inference(split_clause,[status(thm)],[f1910,f1907,f1859,f1853])).
% 2.06/0.70 fof(f1920,plain,(
% 2.06/0.70 succ(n1)=n999|~spl0_134),
% 2.06/0.70 inference(paramodulation,[status(thm)],[f1860,f229])).
% 2.06/0.70 fof(f1921,plain,(
% 2.06/0.70 n2=n999|~spl0_134),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f428,f1920])).
% 2.06/0.70 fof(f1926,plain,(
% 2.06/0.70 ~gt(n3,n2)|~spl0_134),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f1921,f907])).
% 2.06/0.70 fof(f1927,plain,(
% 2.06/0.70 $false|~spl0_134),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f1926,f308])).
% 2.06/0.70 fof(f1928,plain,(
% 2.06/0.70 ~spl0_134),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f1927])).
% 2.06/0.70 fof(f2053,plain,(
% 2.06/0.70 ~leq(n0,n0)|~leq(n1,n1)|n1=n0|n1=n1|~spl0_28),
% 2.06/0.70 inference(resolution,[status(thm)],[f1036,f322])).
% 2.06/0.70 fof(f2054,plain,(
% 2.06/0.70 ~spl0_26|~spl0_76|spl0_29|spl0_77|~spl0_28),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2053,f657,f1246,f691,f1249,f688])).
% 2.06/0.70 fof(f2055,plain,(
% 2.06/0.70 ~leq(n0,n0)|~leq(n1,n0)|n1=n0|~spl0_28),
% 2.06/0.70 inference(resolution,[status(thm)],[f1036,f320])).
% 2.06/0.70 fof(f2056,plain,(
% 2.06/0.70 ~spl0_26|~spl0_75|spl0_29|~spl0_28),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2055,f657,f1234,f691,f688])).
% 2.06/0.70 fof(f2094,plain,(
% 2.06/0.70 ~gt(tptp_minus_1,sk0_29)|spl0_18),
% 2.06/0.70 inference(resolution,[status(thm)],[f1113,f287])).
% 2.06/0.70 fof(f2095,plain,(
% 2.06/0.70 ~spl0_42|spl0_18),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2094,f939,f571])).
% 2.06/0.70 fof(f2103,plain,(
% 2.06/0.70 n0=tptp_minus_1|~spl0_22|~spl0_41),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f640,f937])).
% 2.06/0.70 fof(f2117,plain,(
% 2.06/0.70 gt(n0,n0)|~spl0_22|~spl0_41),
% 2.06/0.70 inference(backward_demodulation,[status(thm)],[f2103,f287])).
% 2.06/0.70 fof(f2118,plain,(
% 2.06/0.70 $false|~spl0_22|~spl0_41),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2117,f108])).
% 2.06/0.70 fof(f2119,plain,(
% 2.06/0.70 ~spl0_22|~spl0_41),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f2118])).
% 2.06/0.70 fof(f2244,plain,(
% 2.06/0.70 spl0_146 <=> ~leq(X0,n5)|~pd0_3(uniform_int_rnd(X1,n5),X0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f2247,plain,(
% 2.06/0.70 spl0_147 <=> leq(n0,n5)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f2248,plain,(
% 2.06/0.70 leq(n0,n5)|~spl0_147),
% 2.06/0.70 inference(component_clause,[status(thm)],[f2247])).
% 2.06/0.70 fof(f2249,plain,(
% 2.06/0.70 ~leq(n0,n5)|spl0_147),
% 2.06/0.70 inference(component_clause,[status(thm)],[f2247])).
% 2.06/0.70 fof(f2250,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(X0,n5)|~pd0_3(uniform_int_rnd(X1,n5),X0)|~leq(n0,n5))),
% 2.06/0.70 inference(resolution,[status(thm)],[f1845,f138])).
% 2.06/0.70 fof(f2251,plain,(
% 2.06/0.70 spl0_146|~spl0_147),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2250,f2244,f2247])).
% 2.06/0.70 fof(f2262,plain,(
% 2.06/0.70 spl0_148 <=> leq(n5,n5)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f2264,plain,(
% 2.06/0.70 ~leq(n5,n5)|spl0_148),
% 2.06/0.70 inference(component_clause,[status(thm)],[f2262])).
% 2.06/0.70 fof(f2269,plain,(
% 2.06/0.70 spl0_149 <=> ~leq(X0,n5)|~pd0_5(uniform_int_rnd(X1,n5),X0)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f2272,plain,(
% 2.06/0.70 ![X0,X1]: (~leq(X0,n5)|~pd0_5(uniform_int_rnd(X1,n5),X0)|~leq(n0,n5))),
% 2.06/0.70 inference(resolution,[status(thm)],[f1846,f138])).
% 2.06/0.70 fof(f2273,plain,(
% 2.06/0.70 spl0_149|~spl0_147),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2272,f2269,f2247])).
% 2.06/0.70 fof(f2492,plain,(
% 2.06/0.70 spl0_164 <=> leq(sk0_24,n5)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f2494,plain,(
% 2.06/0.70 ~leq(sk0_24,n5)|spl0_164),
% 2.06/0.70 inference(component_clause,[status(thm)],[f2492])).
% 2.06/0.70 fof(f2495,plain,(
% 2.06/0.70 ~leq(sk0_23,n5)|~leq(sk0_24,n5)|~spl0_2),
% 2.06/0.70 inference(resolution,[status(thm)],[f385,f1845])).
% 2.06/0.70 fof(f2496,plain,(
% 2.06/0.70 ~spl0_35|~spl0_164|~spl0_2),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2495,f811,f2492,f384])).
% 2.06/0.70 fof(f2501,plain,(
% 2.06/0.70 $false|~spl0_2|spl0_164),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2494,f826])).
% 2.06/0.70 fof(f2502,plain,(
% 2.06/0.70 ~spl0_2|spl0_164),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f2501])).
% 2.06/0.70 fof(f2529,plain,(
% 2.06/0.70 ~gt(n5,n0)|spl0_147),
% 2.06/0.70 inference(resolution,[status(thm)],[f2249,f122])).
% 2.06/0.70 fof(f2530,plain,(
% 2.06/0.70 ~spl0_47|spl0_147),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2529,f1012,f2247])).
% 2.06/0.70 fof(f2566,plain,(
% 2.06/0.70 spl0_170 <=> leq(sk0_28,n5)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f2568,plain,(
% 2.06/0.70 ~leq(sk0_28,n5)|spl0_170),
% 2.06/0.70 inference(component_clause,[status(thm)],[f2566])).
% 2.06/0.70 fof(f2569,plain,(
% 2.06/0.70 ~leq(n0,n5)|~leq(sk0_28,n5)|~spl0_32|~spl0_4),
% 2.06/0.70 inference(resolution,[status(thm)],[f767,f1846])).
% 2.06/0.70 fof(f2570,plain,(
% 2.06/0.70 ~spl0_147|~spl0_170|~spl0_32|~spl0_4),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2569,f2247,f2566,f760,f390])).
% 2.06/0.70 fof(f2579,plain,(
% 2.06/0.70 spl0_171 <=> leq(sk0_27,n5)),
% 2.06/0.70 introduced(split_symbol_definition)).
% 2.06/0.70 fof(f2581,plain,(
% 2.06/0.70 ~leq(sk0_27,n5)|spl0_171),
% 2.06/0.70 inference(component_clause,[status(thm)],[f2579])).
% 2.06/0.70 fof(f2590,plain,(
% 2.06/0.70 $false|spl0_148),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2264,f109])).
% 2.06/0.70 fof(f2591,plain,(
% 2.06/0.70 spl0_148),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f2590])).
% 2.06/0.70 fof(f2599,plain,(
% 2.06/0.70 ~leq(n0,n1)|~spl0_25|spl0_78),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f653,f1256])).
% 2.06/0.70 fof(f2600,plain,(
% 2.06/0.70 $false|~spl0_28|~spl0_25|spl0_78),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2599,f689])).
% 2.06/0.70 fof(f2601,plain,(
% 2.06/0.70 ~spl0_28|~spl0_25|spl0_78),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f2600])).
% 2.06/0.70 fof(f2602,plain,(
% 2.06/0.70 n0=n1|~spl0_25|~spl0_79),
% 2.06/0.70 inference(forward_demodulation,[status(thm)],[f653,f1258])).
% 2.06/0.70 fof(f2603,plain,(
% 2.06/0.70 $false|spl0_29|~spl0_25|~spl0_79),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2602,f693])).
% 2.06/0.70 fof(f2604,plain,(
% 2.06/0.70 spl0_29|~spl0_25|~spl0_79),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f2603])).
% 2.06/0.70 fof(f2608,plain,(
% 2.06/0.70 ~leq(n5,n1)|n5=n0|n5=n1|~spl0_147),
% 2.06/0.70 inference(resolution,[status(thm)],[f2248,f322])).
% 2.06/0.70 fof(f2609,plain,(
% 2.06/0.70 ~spl0_131|spl0_48|spl0_130|~spl0_147),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2608,f1830,f1015,f1801,f2247])).
% 2.06/0.70 fof(f2610,plain,(
% 2.06/0.70 ~leq(n5,n0)|n5=n0|~spl0_147),
% 2.06/0.70 inference(resolution,[status(thm)],[f2248,f320])).
% 2.06/0.70 fof(f2611,plain,(
% 2.06/0.70 ~spl0_33|spl0_48|~spl0_147),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2610,f800,f1015,f2247])).
% 2.06/0.70 fof(f2645,plain,(
% 2.06/0.70 ~leq(sk0_27,n5)|~leq(sk0_28,n5)|~spl0_4),
% 2.06/0.70 inference(resolution,[status(thm)],[f391,f1846])).
% 2.06/0.70 fof(f2646,plain,(
% 2.06/0.70 ~spl0_171|~spl0_170|~spl0_4),
% 2.06/0.70 inference(split_clause,[status(thm)],[f2645,f2579,f2566,f390])).
% 2.06/0.70 fof(f2647,plain,(
% 2.06/0.70 leq(sk0_27,n5)|~spl0_4),
% 2.06/0.70 inference(resolution,[status(thm)],[f391,f634])).
% 2.06/0.70 fof(f2648,plain,(
% 2.06/0.70 leq(sk0_28,n5)|~spl0_4),
% 2.06/0.70 inference(resolution,[status(thm)],[f391,f633])).
% 2.06/0.70 fof(f2651,plain,(
% 2.06/0.70 $false|~spl0_4|spl0_170),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2568,f2648])).
% 2.06/0.70 fof(f2652,plain,(
% 2.06/0.70 ~spl0_4|spl0_170),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f2651])).
% 2.06/0.70 fof(f2653,plain,(
% 2.06/0.70 $false|~spl0_4|spl0_171),
% 2.06/0.70 inference(forward_subsumption_resolution,[status(thm)],[f2581,f2647])).
% 2.06/0.70 fof(f2654,plain,(
% 2.06/0.70 ~spl0_4|spl0_171),
% 2.06/0.70 inference(contradiction_clause,[status(thm)],[f2653])).
% 2.06/0.70 fof(f2655,plain,(
% 2.06/0.70 $false),
% 2.06/0.70 inference(sat_refutation,[status(thm)],[f396,f400,f404,f408,f412,f439,f446,f643,f656,f671,f673,f677,f710,f764,f769,f777,f829,f866,f922,f943,f961,f966,f1026,f1118,f1121,f1127,f1136,f1152,f1261,f1268,f1295,f1541,f1558,f1600,f1679,f1748,f1805,f1844,f1863,f1868,f1874,f1880,f1883,f1911,f1928,f2054,f2056,f2095,f2119,f2251,f2273,f2496,f2502,f2530,f2570,f2591,f2601,f2604,f2609,f2611,f2646,f2652,f2654])).
% 2.06/0.70 % SZS output end CNFRefutation for theBenchmark.p
% 2.50/0.72 % Elapsed time: 0.378119 seconds
% 2.50/0.72 % CPU time: 2.530582 seconds
% 2.50/0.72 % Memory used: 84.444 MB
%------------------------------------------------------------------------------