TSTP Solution File: SWV112+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV112+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n021.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 : Tue Apr 30 20:46:01 EDT 2024
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SWV112+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n021.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:42:25 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.46 fof(f1,axiom,(
% 0.17/0.46 (! [X,Y] :( gt(X,Y)| gt(Y,X)| X = Y ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f3,axiom,(
% 0.17/0.46 (! [X] : ~ gt(X,X) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f4,axiom,(
% 0.17/0.46 (! [X] : leq(X,X) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f8,axiom,(
% 0.17/0.46 (! [X,Y] :( gt(Y,X)=> leq(X,Y) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f14,axiom,(
% 0.17/0.46 (! [X,C] :( leq(n0,X)=> leq(uniform_int_rnd(C,X),X) ) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f30,axiom,(
% 0.17/0.46 (! [X] : plus(n1,X) = succ(X) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f39,axiom,(
% 0.17/0.46 (! [X] : minus(X,n1) = pred(X) )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f40,axiom,(
% 0.17/0.46 (! [X] : pred(succ(X)) = X )),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f53,conjecture,(
% 0.17/0.46 ( ( leq(n0,pv5)& leq(n0,pv57)& leq(pv5,minus(n999,n1))& leq(pv57,minus(n6,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) ))& (! [G,H] :( ( leq(n0,G)& leq(n0,H)& leq(G,pv57)& leq(H,minus(n6,n1)) )=> a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G) ))& (! [I] :( ( leq(n0,I)& leq(I,minus(pv57,n1)) )=> (! [J] :( ( leq(n0,J)& leq(J,minus(n6,n1)) )=> a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) )) ))=> ( leq(n0,pv5)& leq(pv5,minus(n999,n1))& (! [K,L] :( ( leq(n0,K)& leq(n0,L)& leq(K,minus(n6,n1))& leq(L,minus(n6,n1)) )=> a_select3(q_ds1_filter,K,L) = a_select3(q_ds1_filter,L,K) ))& (! [M,N] :( ( leq(n0,M)& leq(n0,N)& leq(M,minus(n3,n1))& leq(N,minus(n3,n1)) )=> a_select3(r_ds1_filter,M,N) = a_select3(r_ds1_filter,N,M) ))& (! [O,P] :( ( leq(n0,O)& leq(n0,P)& leq(O,minus(n6,n1))& leq(P,minus(n6,n1)) )=> a_select3(pminus_ds1_filter,O,P) = a_select3(pminus_ds1_filter,P,O) ))& (! [Q] :( ( leq(n0,Q)& leq(Q,minus(plus(n1,pv57),n1)) )=> (! [R] :( ( leq(n0,R)& leq(R,minus(n6,n1)) )=> a_select3(id_ds1_filter,Q,R) = a_select3(id_ds1_filter,R,Q) ) )) )) ) ),
% 0.17/0.46 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.17/0.46 fof(f54,negated_conjecture,(
% 0.17/0.46 ~(( ( leq(n0,pv5)& leq(n0,pv57)& leq(pv5,minus(n999,n1))& leq(pv57,minus(n6,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) ))& (! [G,H] :( ( leq(n0,G)& leq(n0,H)& leq(G,pv57)& leq(H,minus(n6,n1)) )=> a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G) ))& (! [I] :( ( leq(n0,I)& leq(I,minus(pv57,n1)) )=> (! [J] :( ( leq(n0,J)& leq(J,minus(n6,n1)) )=> a_select3(id_ds1_filter,I,J) = a_select3(id_ds1_filter,J,I) ) )) ))=> ( leq(n0,pv5)& leq(pv5,minus(n999,n1))& (! [K,L] :( ( leq(n0,K)& leq(n0,L)& leq(K,minus(n6,n1))& leq(L,minus(n6,n1)) )=> a_select3(q_ds1_filter,K,L) = a_select3(q_ds1_filter,L,K) ))& (! [M,N] :( ( leq(n0,M)& leq(n0,N)& leq(M,minus(n3,n1))& leq(N,minus(n3,n1)) )=> a_select3(r_ds1_filter,M,N) = a_select3(r_ds1_filter,N,M) ))& (! [O,P] :( ( leq(n0,O)& leq(n0,P)& leq(O,minus(n6,n1))& leq(P,minus(n6,n1)) )=> a_select3(pminus_ds1_filter,O,P) = a_select3(pminus_ds1_filter,P,O) ))& (! [Q] :( ( leq(n0,Q)& leq(Q,minus(plus(n1,pv57),n1)) )=> (! [R] :( ( leq(n0,R)& leq(R,minus(n6,n1)) )=> a_select3(id_ds1_filter,Q,R) = a_select3(id_ds1_filter,R,Q) ) )) )) ) )),
% 0.17/0.47 inference(negated_conjecture,[status(cth)],[f53])).
% 0.17/0.47 fof(f104,plain,(
% 0.17/0.47 ![X0,X1]: (gt(X0,X1)|gt(X1,X0)|X0=X1)),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f1])).
% 0.17/0.47 fof(f108,plain,(
% 0.17/0.47 ![X0]: (~gt(X0,X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f3])).
% 0.17/0.47 fof(f109,plain,(
% 0.17/0.47 ![X0]: (leq(X0,X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f4])).
% 0.17/0.47 fof(f121,plain,(
% 0.17/0.47 ![X,Y]: (~gt(Y,X)|leq(X,Y))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(esa)],[f8])).
% 0.17/0.47 fof(f122,plain,(
% 0.17/0.47 ![X0,X1]: (~gt(X0,X1)|leq(X1,X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f121])).
% 0.17/0.47 fof(f136,plain,(
% 0.17/0.47 ![X,C]: (~leq(n0,X)|leq(uniform_int_rnd(C,X),X))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(esa)],[f14])).
% 0.17/0.47 fof(f137,plain,(
% 0.17/0.47 ![X]: (~leq(n0,X)|(![C]: leq(uniform_int_rnd(C,X),X)))),
% 0.17/0.47 inference(miniscoping,[status(esa)],[f136])).
% 0.17/0.47 fof(f138,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,X0)|leq(uniform_int_rnd(X1,X0),X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f137])).
% 0.17/0.47 fof(f218,plain,(
% 0.17/0.47 ![X0]: (plus(n1,X0)=succ(X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f30])).
% 0.17/0.47 fof(f227,plain,(
% 0.17/0.47 ![X0]: (minus(X0,n1)=pred(X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f39])).
% 0.17/0.47 fof(f228,plain,(
% 0.17/0.47 ![X0]: (pred(succ(X0))=X0)),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f40])).
% 0.17/0.47 fof(f261,plain,(
% 0.17/0.47 (((((((((leq(n0,pv5)&leq(n0,pv57))&leq(pv5,minus(n999,n1)))&leq(pv57,minus(n6,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))))&(![G,H]: ((((~leq(n0,G)|~leq(n0,H))|~leq(G,pv57))|~leq(H,minus(n6,n1)))|a_select3(id_ds1_filter,G,H)=a_select3(id_ds1_filter,H,G))))&(![I]: ((~leq(n0,I)|~leq(I,minus(pv57,n1)))|(![J]: ((~leq(n0,J)|~leq(J,minus(n6,n1)))|a_select3(id_ds1_filter,I,J)=a_select3(id_ds1_filter,J,I))))))&(((((~leq(n0,pv5)|~leq(pv5,minus(n999,n1)))|(?[K,L]: ((((leq(n0,K)&leq(n0,L))&leq(K,minus(n6,n1)))&leq(L,minus(n6,n1)))&~a_select3(q_ds1_filter,K,L)=a_select3(q_ds1_filter,L,K))))|(?[M,N]: ((((leq(n0,M)&leq(n0,N))&leq(M,minus(n3,n1)))&leq(N,minus(n3,n1)))&~a_select3(r_ds1_filter,M,N)=a_select3(r_ds1_filter,N,M))))|(?[O,P]: ((((leq(n0,O)&leq(n0,P))&leq(O,minus(n6,n1)))&leq(P,minus(n6,n1)))&~a_select3(pminus_ds1_filter,O,P)=a_select3(pminus_ds1_filter,P,O))))|(?[Q]: ((leq(n0,Q)&leq(Q,minus(plus(n1,pv57),n1)))&(?[R]: ((leq(n0,R)&leq(R,minus(n6,n1)))&~a_select3(id_ds1_filter,Q,R)=a_select3(id_ds1_filter,R,Q)))))))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.17/0.47 fof(f262,plain,(
% 0.17/0.47 ![K,L]: (pd0_3(L,K)=>((((leq(n0,K)&leq(n0,L))&leq(K,minus(n6,n1)))&leq(L,minus(n6,n1)))&~a_select3(q_ds1_filter,K,L)=a_select3(q_ds1_filter,L,K)))),
% 0.17/0.47 introduced(predicate_definition,[f261])).
% 0.17/0.47 fof(f263,plain,(
% 0.17/0.47 ![M,N]: (pd0_4(N,M)=>((((leq(n0,M)&leq(n0,N))&leq(M,minus(n3,n1)))&leq(N,minus(n3,n1)))&~a_select3(r_ds1_filter,M,N)=a_select3(r_ds1_filter,N,M)))),
% 0.17/0.47 introduced(predicate_definition,[f261])).
% 0.17/0.47 fof(f264,plain,(
% 0.17/0.47 ![O,P]: (pd0_5(P,O)=>((((leq(n0,O)&leq(n0,P))&leq(O,minus(n6,n1)))&leq(P,minus(n6,n1)))&~a_select3(pminus_ds1_filter,O,P)=a_select3(pminus_ds1_filter,P,O)))),
% 0.17/0.47 introduced(predicate_definition,[f261])).
% 0.17/0.47 fof(f265,plain,(
% 0.17/0.47 ((((((((leq(n0,pv5)&leq(n0,pv57))&leq(pv5,minus(n999,n1)))&leq(pv57,minus(n6,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))))&(![G,H]: ((((~leq(n0,G)|~leq(n0,H))|~leq(G,pv57))|~leq(H,minus(n6,n1)))|a_select3(id_ds1_filter,G,H)=a_select3(id_ds1_filter,H,G))))&(![I]: ((~leq(n0,I)|~leq(I,minus(pv57,n1)))|(![J]: ((~leq(n0,J)|~leq(J,minus(n6,n1)))|a_select3(id_ds1_filter,I,J)=a_select3(id_ds1_filter,J,I))))))&(((((~leq(n0,pv5)|~leq(pv5,minus(n999,n1)))|(?[K,L]: pd0_3(L,K)))|(?[M,N]: pd0_4(N,M)))|(?[O,P]: pd0_5(P,O)))|(?[Q]: ((leq(n0,Q)&leq(Q,minus(plus(n1,pv57),n1)))&(?[R]: ((leq(n0,R)&leq(R,minus(n6,n1)))&~a_select3(id_ds1_filter,Q,R)=a_select3(id_ds1_filter,R,Q))))))),
% 0.17/0.47 inference(formula_renaming,[status(thm)],[f261,f264,f263,f262])).
% 0.17/0.47 fof(f266,plain,(
% 0.17/0.47 ((((((((leq(n0,pv5)&leq(n0,pv57))&leq(pv5,minus(n999,n1)))&leq(pv57,minus(n6,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))))&(![G,H]: ((((~leq(n0,G)|~leq(n0,H))|~leq(G,pv57))|~leq(H,minus(n6,n1)))|a_select3(id_ds1_filter,G,H)=a_select3(id_ds1_filter,H,G))))&(![I]: ((~leq(n0,I)|~leq(I,minus(pv57,n1)))|(![J]: ((~leq(n0,J)|~leq(J,minus(n6,n1)))|a_select3(id_ds1_filter,I,J)=a_select3(id_ds1_filter,J,I))))))&(((((~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(plus(n1,pv57),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))))),
% 0.17/0.47 inference(skolemization,[status(esa)],[f265])).
% 0.17/0.47 fof(f267,plain,(
% 0.17/0.47 leq(n0,pv5)),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f269,plain,(
% 0.17/0.47 leq(pv5,minus(n999,n1))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f271,plain,(
% 0.17/0.47 ![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))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f272,plain,(
% 0.17/0.47 ![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))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f273,plain,(
% 0.17/0.47 ![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))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f274,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pv57)|~leq(X1,minus(n6,n1))|a_select3(id_ds1_filter,X0,X1)=a_select3(id_ds1_filter,X1,X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f275,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,X0)|~leq(X0,minus(pv57,n1))|~leq(n0,X1)|~leq(X1,minus(n6,n1))|a_select3(id_ds1_filter,X0,X1)=a_select3(id_ds1_filter,X1,X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f276,plain,(
% 0.17/0.47 ~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)),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f277,plain,(
% 0.17/0.47 ~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(plus(n1,pv57),n1))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f278,plain,(
% 0.17/0.47 ~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)),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f279,plain,(
% 0.17/0.47 ~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))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f280,plain,(
% 0.17/0.47 ~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)),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f266])).
% 0.17/0.47 fof(f358,plain,(
% 0.17/0.47 ![K,L]: (~pd0_3(L,K)|((((leq(n0,K)&leq(n0,L))&leq(K,minus(n6,n1)))&leq(L,minus(n6,n1)))&~a_select3(q_ds1_filter,K,L)=a_select3(q_ds1_filter,L,K)))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(esa)],[f262])).
% 0.17/0.47 fof(f359,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_3(X0,X1)|leq(n0,X1))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f358])).
% 0.17/0.47 fof(f360,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_3(X0,X1)|leq(n0,X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f358])).
% 0.17/0.47 fof(f361,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_3(X0,X1)|leq(X1,minus(n6,n1)))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f358])).
% 0.17/0.47 fof(f362,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_3(X0,X1)|leq(X0,minus(n6,n1)))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f358])).
% 0.17/0.47 fof(f363,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_3(X0,X1)|~a_select3(q_ds1_filter,X1,X0)=a_select3(q_ds1_filter,X0,X1))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f358])).
% 0.17/0.47 fof(f364,plain,(
% 0.17/0.47 ![M,N]: (~pd0_4(N,M)|((((leq(n0,M)&leq(n0,N))&leq(M,minus(n3,n1)))&leq(N,minus(n3,n1)))&~a_select3(r_ds1_filter,M,N)=a_select3(r_ds1_filter,N,M)))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(esa)],[f263])).
% 0.17/0.47 fof(f365,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_4(X0,X1)|leq(n0,X1))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f364])).
% 0.17/0.47 fof(f366,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_4(X0,X1)|leq(n0,X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f364])).
% 0.17/0.47 fof(f367,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_4(X0,X1)|leq(X1,minus(n3,n1)))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f364])).
% 0.17/0.47 fof(f368,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_4(X0,X1)|leq(X0,minus(n3,n1)))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f364])).
% 0.17/0.47 fof(f369,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_4(X0,X1)|~a_select3(r_ds1_filter,X1,X0)=a_select3(r_ds1_filter,X0,X1))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f364])).
% 0.17/0.47 fof(f370,plain,(
% 0.17/0.47 ![O,P]: (~pd0_5(P,O)|((((leq(n0,O)&leq(n0,P))&leq(O,minus(n6,n1)))&leq(P,minus(n6,n1)))&~a_select3(pminus_ds1_filter,O,P)=a_select3(pminus_ds1_filter,P,O)))),
% 0.17/0.47 inference(pre_NNF_transformation,[status(esa)],[f264])).
% 0.17/0.47 fof(f371,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_5(X0,X1)|leq(n0,X1))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f370])).
% 0.17/0.47 fof(f372,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_5(X0,X1)|leq(n0,X0))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f370])).
% 0.17/0.47 fof(f373,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_5(X0,X1)|leq(X1,minus(n6,n1)))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f370])).
% 0.17/0.47 fof(f374,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_5(X0,X1)|leq(X0,minus(n6,n1)))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f370])).
% 0.17/0.47 fof(f375,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_5(X0,X1)|~a_select3(pminus_ds1_filter,X1,X0)=a_select3(pminus_ds1_filter,X0,X1))),
% 0.17/0.47 inference(cnf_transformation,[status(esa)],[f370])).
% 0.17/0.47 fof(f382,plain,(
% 0.17/0.47 spl0_0 <=> leq(n0,pv5)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f384,plain,(
% 0.17/0.47 ~leq(n0,pv5)|spl0_0),
% 0.17/0.47 inference(component_clause,[status(thm)],[f382])).
% 0.17/0.47 fof(f385,plain,(
% 0.17/0.47 spl0_1 <=> leq(pv5,minus(n999,n1))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f387,plain,(
% 0.17/0.47 ~leq(pv5,minus(n999,n1))|spl0_1),
% 0.17/0.47 inference(component_clause,[status(thm)],[f385])).
% 0.17/0.47 fof(f388,plain,(
% 0.17/0.47 spl0_2 <=> pd0_3(sk0_24,sk0_23)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f389,plain,(
% 0.17/0.47 pd0_3(sk0_24,sk0_23)|~spl0_2),
% 0.17/0.47 inference(component_clause,[status(thm)],[f388])).
% 0.17/0.47 fof(f391,plain,(
% 0.17/0.47 spl0_3 <=> pd0_4(sk0_26,sk0_25)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f392,plain,(
% 0.17/0.47 pd0_4(sk0_26,sk0_25)|~spl0_3),
% 0.17/0.47 inference(component_clause,[status(thm)],[f391])).
% 0.17/0.47 fof(f394,plain,(
% 0.17/0.47 spl0_4 <=> pd0_5(sk0_28,sk0_27)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f395,plain,(
% 0.17/0.47 pd0_5(sk0_28,sk0_27)|~spl0_4),
% 0.17/0.47 inference(component_clause,[status(thm)],[f394])).
% 0.17/0.47 fof(f397,plain,(
% 0.17/0.47 spl0_5 <=> leq(n0,sk0_29)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f399,plain,(
% 0.17/0.47 ~leq(n0,sk0_29)|spl0_5),
% 0.17/0.47 inference(component_clause,[status(thm)],[f397])).
% 0.17/0.47 fof(f400,plain,(
% 0.17/0.47 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|spl0_5),
% 0.17/0.47 inference(split_clause,[status(thm)],[f276,f382,f385,f388,f391,f394,f397])).
% 0.17/0.47 fof(f401,plain,(
% 0.17/0.47 spl0_6 <=> leq(sk0_29,minus(plus(n1,pv57),n1))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f402,plain,(
% 0.17/0.47 leq(sk0_29,minus(plus(n1,pv57),n1))|~spl0_6),
% 0.17/0.47 inference(component_clause,[status(thm)],[f401])).
% 0.17/0.47 fof(f404,plain,(
% 0.17/0.47 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|spl0_6),
% 0.17/0.47 inference(split_clause,[status(thm)],[f277,f382,f385,f388,f391,f394,f401])).
% 0.17/0.47 fof(f405,plain,(
% 0.17/0.47 spl0_7 <=> leq(n0,sk0_30)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f407,plain,(
% 0.17/0.47 ~leq(n0,sk0_30)|spl0_7),
% 0.17/0.47 inference(component_clause,[status(thm)],[f405])).
% 0.17/0.47 fof(f408,plain,(
% 0.17/0.47 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|spl0_7),
% 0.17/0.47 inference(split_clause,[status(thm)],[f278,f382,f385,f388,f391,f394,f405])).
% 0.17/0.47 fof(f409,plain,(
% 0.17/0.47 spl0_8 <=> leq(sk0_30,minus(n6,n1))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f410,plain,(
% 0.17/0.47 leq(sk0_30,minus(n6,n1))|~spl0_8),
% 0.17/0.47 inference(component_clause,[status(thm)],[f409])).
% 0.17/0.47 fof(f412,plain,(
% 0.17/0.47 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|spl0_8),
% 0.17/0.47 inference(split_clause,[status(thm)],[f279,f382,f385,f388,f391,f394,f409])).
% 0.17/0.47 fof(f413,plain,(
% 0.17/0.47 spl0_9 <=> a_select3(id_ds1_filter,sk0_29,sk0_30)=a_select3(id_ds1_filter,sk0_30,sk0_29)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f415,plain,(
% 0.17/0.47 ~a_select3(id_ds1_filter,sk0_29,sk0_30)=a_select3(id_ds1_filter,sk0_30,sk0_29)|spl0_9),
% 0.17/0.47 inference(component_clause,[status(thm)],[f413])).
% 0.17/0.47 fof(f416,plain,(
% 0.17/0.47 ~spl0_0|~spl0_1|spl0_2|spl0_3|spl0_4|~spl0_9),
% 0.17/0.47 inference(split_clause,[status(thm)],[f280,f382,f385,f388,f391,f394,f413])).
% 0.17/0.47 fof(f429,plain,(
% 0.17/0.47 leq(pv5,pred(n999))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f269])).
% 0.17/0.47 fof(f431,plain,(
% 0.17/0.47 ![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))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f271])).
% 0.17/0.47 fof(f432,plain,(
% 0.17/0.47 ![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))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f431])).
% 0.17/0.47 fof(f433,plain,(
% 0.17/0.47 ![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))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f272])).
% 0.17/0.47 fof(f434,plain,(
% 0.17/0.47 ![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))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f433])).
% 0.17/0.47 fof(f435,plain,(
% 0.17/0.47 ![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))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f273])).
% 0.17/0.47 fof(f436,plain,(
% 0.17/0.47 ![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))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f435])).
% 0.17/0.47 fof(f437,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pv57)|~leq(X1,pred(n6))|a_select3(id_ds1_filter,X0,X1)=a_select3(id_ds1_filter,X1,X0))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f274])).
% 0.17/0.47 fof(f438,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv57))|~leq(n0,X1)|~leq(X1,minus(n6,n1))|a_select3(id_ds1_filter,X0,X1)=a_select3(id_ds1_filter,X1,X0))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f275])).
% 0.17/0.47 fof(f439,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(pv57))|~leq(n0,X1)|~leq(X1,pred(n6))|a_select3(id_ds1_filter,X0,X1)=a_select3(id_ds1_filter,X1,X0))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f438])).
% 0.17/0.47 fof(f450,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_3(X0,X1)|leq(X1,pred(n6)))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f361])).
% 0.17/0.47 fof(f451,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_3(X0,X1)|leq(X0,pred(n6)))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f362])).
% 0.17/0.47 fof(f452,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_4(X0,X1)|leq(X1,pred(n3)))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f367])).
% 0.17/0.47 fof(f453,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_4(X0,X1)|leq(X0,pred(n3)))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f368])).
% 0.17/0.47 fof(f454,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_5(X0,X1)|leq(X1,pred(n6)))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f373])).
% 0.17/0.47 fof(f455,plain,(
% 0.17/0.47 ![X0,X1]: (~pd0_5(X0,X1)|leq(X0,pred(n6)))),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f374])).
% 0.17/0.47 fof(f456,plain,(
% 0.17/0.47 ~leq(pv5,pred(n999))|spl0_1),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f387])).
% 0.17/0.47 fof(f457,plain,(
% 0.17/0.47 $false|spl0_1),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f456,f429])).
% 0.17/0.47 fof(f458,plain,(
% 0.17/0.47 spl0_1),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f457])).
% 0.17/0.47 fof(f461,plain,(
% 0.17/0.47 $false|spl0_0),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f384,f267])).
% 0.17/0.47 fof(f462,plain,(
% 0.17/0.47 spl0_0),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f461])).
% 0.17/0.47 fof(f465,plain,(
% 0.17/0.47 spl0_10 <=> leq(sk0_29,pv57)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f467,plain,(
% 0.17/0.47 ~leq(sk0_29,pv57)|spl0_10),
% 0.17/0.47 inference(component_clause,[status(thm)],[f465])).
% 0.17/0.47 fof(f468,plain,(
% 0.17/0.47 spl0_11 <=> leq(sk0_30,pred(n6))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f470,plain,(
% 0.17/0.47 ~leq(sk0_30,pred(n6))|spl0_11),
% 0.17/0.47 inference(component_clause,[status(thm)],[f468])).
% 0.17/0.47 fof(f471,plain,(
% 0.17/0.47 ~leq(n0,sk0_29)|~leq(n0,sk0_30)|~leq(sk0_29,pv57)|~leq(sk0_30,pred(n6))|spl0_9),
% 0.17/0.47 inference(resolution,[status(thm)],[f437,f415])).
% 0.17/0.47 fof(f472,plain,(
% 0.17/0.47 ~spl0_5|~spl0_7|~spl0_10|~spl0_11|spl0_9),
% 0.17/0.47 inference(split_clause,[status(thm)],[f471,f397,f405,f465,f468,f413])).
% 0.17/0.47 fof(f489,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,X0)|~leq(n0,X1)|~leq(X0,pred(n6))|~leq(X1,pred(n6))|~pd0_5(X1,X0))),
% 0.17/0.47 inference(resolution,[status(thm)],[f436,f375])).
% 0.17/0.47 fof(f490,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,X0)|~leq(X0,pred(n6))|~leq(X1,pred(n6))|~pd0_5(X1,X0))),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f489,f372])).
% 0.17/0.47 fof(f492,plain,(
% 0.17/0.47 spl0_14 <=> leq(n0,n0)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f494,plain,(
% 0.17/0.47 ~leq(n0,n0)|spl0_14),
% 0.17/0.47 inference(component_clause,[status(thm)],[f492])).
% 0.17/0.47 fof(f495,plain,(
% 0.17/0.47 spl0_15 <=> ~leq(n0,X0)|~leq(X0,pred(n6))|a_select3(id_ds1_filter,n0,X0)=a_select3(id_ds1_filter,X0,n0)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f498,plain,(
% 0.17/0.47 spl0_16 <=> ~pd0_5(pred(pv57),X1)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f501,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,n0)|~leq(n0,X0)|~leq(X0,pred(n6))|a_select3(id_ds1_filter,n0,X0)=a_select3(id_ds1_filter,X0,n0)|~pd0_5(pred(pv57),X1))),
% 0.17/0.47 inference(resolution,[status(thm)],[f439,f372])).
% 0.17/0.47 fof(f502,plain,(
% 0.17/0.47 ~spl0_14|spl0_15|spl0_16),
% 0.17/0.47 inference(split_clause,[status(thm)],[f501,f492,f495,f498])).
% 0.17/0.47 fof(f503,plain,(
% 0.17/0.47 spl0_17 <=> ~pd0_5(X1,pred(pv57))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f506,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,n0)|~leq(n0,X0)|~leq(X0,pred(n6))|a_select3(id_ds1_filter,n0,X0)=a_select3(id_ds1_filter,X0,n0)|~pd0_5(X1,pred(pv57)))),
% 0.17/0.47 inference(resolution,[status(thm)],[f439,f371])).
% 0.17/0.47 fof(f507,plain,(
% 0.17/0.47 ~spl0_14|spl0_15|spl0_17),
% 0.17/0.47 inference(split_clause,[status(thm)],[f506,f492,f495,f503])).
% 0.17/0.47 fof(f508,plain,(
% 0.17/0.47 spl0_18 <=> ~pd0_4(pred(pv57),X1)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f511,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,n0)|~leq(n0,X0)|~leq(X0,pred(n6))|a_select3(id_ds1_filter,n0,X0)=a_select3(id_ds1_filter,X0,n0)|~pd0_4(pred(pv57),X1))),
% 0.17/0.47 inference(resolution,[status(thm)],[f439,f366])).
% 0.17/0.47 fof(f512,plain,(
% 0.17/0.47 ~spl0_14|spl0_15|spl0_18),
% 0.17/0.47 inference(split_clause,[status(thm)],[f511,f492,f495,f508])).
% 0.17/0.47 fof(f513,plain,(
% 0.17/0.47 spl0_19 <=> ~pd0_4(X1,pred(pv57))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f516,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,n0)|~leq(n0,X0)|~leq(X0,pred(n6))|a_select3(id_ds1_filter,n0,X0)=a_select3(id_ds1_filter,X0,n0)|~pd0_4(X1,pred(pv57)))),
% 0.17/0.47 inference(resolution,[status(thm)],[f439,f365])).
% 0.17/0.47 fof(f517,plain,(
% 0.17/0.47 ~spl0_14|spl0_15|spl0_19),
% 0.17/0.47 inference(split_clause,[status(thm)],[f516,f492,f495,f513])).
% 0.17/0.47 fof(f518,plain,(
% 0.17/0.47 spl0_20 <=> ~pd0_3(pred(pv57),X1)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f521,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,n0)|~leq(n0,X0)|~leq(X0,pred(n6))|a_select3(id_ds1_filter,n0,X0)=a_select3(id_ds1_filter,X0,n0)|~pd0_3(pred(pv57),X1))),
% 0.17/0.47 inference(resolution,[status(thm)],[f439,f360])).
% 0.17/0.47 fof(f522,plain,(
% 0.17/0.47 ~spl0_14|spl0_15|spl0_20),
% 0.17/0.47 inference(split_clause,[status(thm)],[f521,f492,f495,f518])).
% 0.17/0.47 fof(f523,plain,(
% 0.17/0.47 spl0_21 <=> ~pd0_3(X1,pred(pv57))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f526,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,n0)|~leq(n0,X0)|~leq(X0,pred(n6))|a_select3(id_ds1_filter,n0,X0)=a_select3(id_ds1_filter,X0,n0)|~pd0_3(X1,pred(pv57)))),
% 0.17/0.47 inference(resolution,[status(thm)],[f439,f359])).
% 0.17/0.47 fof(f527,plain,(
% 0.17/0.47 ~spl0_14|spl0_15|spl0_21),
% 0.17/0.47 inference(split_clause,[status(thm)],[f526,f492,f495,f523])).
% 0.17/0.47 fof(f528,plain,(
% 0.17/0.47 $false|spl0_14),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f494,f109])).
% 0.17/0.47 fof(f529,plain,(
% 0.17/0.47 spl0_14),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f528])).
% 0.17/0.47 fof(f530,plain,(
% 0.17/0.47 spl0_22 <=> leq(n0,sk0_27)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f532,plain,(
% 0.17/0.47 ~leq(n0,sk0_27)|spl0_22),
% 0.17/0.47 inference(component_clause,[status(thm)],[f530])).
% 0.17/0.47 fof(f533,plain,(
% 0.17/0.47 spl0_23 <=> leq(sk0_27,pred(n6))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f535,plain,(
% 0.17/0.47 ~leq(sk0_27,pred(n6))|spl0_23),
% 0.17/0.47 inference(component_clause,[status(thm)],[f533])).
% 0.17/0.47 fof(f536,plain,(
% 0.17/0.47 spl0_24 <=> leq(sk0_28,pred(n6))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f538,plain,(
% 0.17/0.47 ~leq(sk0_28,pred(n6))|spl0_24),
% 0.17/0.47 inference(component_clause,[status(thm)],[f536])).
% 0.17/0.47 fof(f539,plain,(
% 0.17/0.47 ~leq(n0,sk0_27)|~leq(sk0_27,pred(n6))|~leq(sk0_28,pred(n6))|~spl0_4),
% 0.17/0.47 inference(resolution,[status(thm)],[f490,f395])).
% 0.17/0.47 fof(f540,plain,(
% 0.17/0.47 ~spl0_22|~spl0_23|~spl0_24|~spl0_4),
% 0.17/0.47 inference(split_clause,[status(thm)],[f539,f530,f533,f536,f394])).
% 0.17/0.47 fof(f542,plain,(
% 0.17/0.47 ![X0]: (~pd0_5(X0,sk0_27)|spl0_22)),
% 0.17/0.47 inference(resolution,[status(thm)],[f532,f371])).
% 0.17/0.47 fof(f547,plain,(
% 0.17/0.47 ![X0]: (~pd0_5(sk0_28,X0)|spl0_24)),
% 0.17/0.47 inference(resolution,[status(thm)],[f538,f455])).
% 0.17/0.47 fof(f551,plain,(
% 0.17/0.47 ~a_select3(r_ds1_filter,sk0_25,sk0_26)=a_select3(r_ds1_filter,sk0_26,sk0_25)|~spl0_3),
% 0.17/0.47 inference(resolution,[status(thm)],[f392,f369])).
% 0.17/0.47 fof(f552,plain,(
% 0.17/0.47 spl0_25 <=> leq(n0,sk0_25)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f554,plain,(
% 0.17/0.47 ~leq(n0,sk0_25)|spl0_25),
% 0.17/0.47 inference(component_clause,[status(thm)],[f552])).
% 0.17/0.47 fof(f555,plain,(
% 0.17/0.47 spl0_26 <=> leq(n0,sk0_26)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f557,plain,(
% 0.17/0.47 ~leq(n0,sk0_26)|spl0_26),
% 0.17/0.47 inference(component_clause,[status(thm)],[f555])).
% 0.17/0.47 fof(f558,plain,(
% 0.17/0.47 spl0_27 <=> leq(sk0_25,pred(n3))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f560,plain,(
% 0.17/0.47 ~leq(sk0_25,pred(n3))|spl0_27),
% 0.17/0.47 inference(component_clause,[status(thm)],[f558])).
% 0.17/0.47 fof(f561,plain,(
% 0.17/0.47 spl0_28 <=> leq(sk0_26,pred(n3))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f563,plain,(
% 0.17/0.47 ~leq(sk0_26,pred(n3))|spl0_28),
% 0.17/0.47 inference(component_clause,[status(thm)],[f561])).
% 0.17/0.47 fof(f564,plain,(
% 0.17/0.47 ~leq(n0,sk0_25)|~leq(n0,sk0_26)|~leq(sk0_25,pred(n3))|~leq(sk0_26,pred(n3))|~spl0_3),
% 0.17/0.47 inference(resolution,[status(thm)],[f551,f434])).
% 0.17/0.47 fof(f565,plain,(
% 0.17/0.47 ~spl0_25|~spl0_26|~spl0_27|~spl0_28|~spl0_3),
% 0.17/0.47 inference(split_clause,[status(thm)],[f564,f552,f555,f558,f561,f391])).
% 0.17/0.47 fof(f570,plain,(
% 0.17/0.47 ![X0]: (~pd0_4(sk0_26,X0)|spl0_26)),
% 0.17/0.47 inference(resolution,[status(thm)],[f557,f366])).
% 0.17/0.47 fof(f574,plain,(
% 0.17/0.47 ~a_select3(q_ds1_filter,sk0_23,sk0_24)=a_select3(q_ds1_filter,sk0_24,sk0_23)|~spl0_2),
% 0.17/0.47 inference(resolution,[status(thm)],[f389,f363])).
% 0.17/0.47 fof(f575,plain,(
% 0.17/0.47 spl0_29 <=> leq(n0,sk0_23)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f577,plain,(
% 0.17/0.47 ~leq(n0,sk0_23)|spl0_29),
% 0.17/0.47 inference(component_clause,[status(thm)],[f575])).
% 0.17/0.47 fof(f578,plain,(
% 0.17/0.47 spl0_30 <=> leq(n0,sk0_24)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f580,plain,(
% 0.17/0.47 ~leq(n0,sk0_24)|spl0_30),
% 0.17/0.47 inference(component_clause,[status(thm)],[f578])).
% 0.17/0.47 fof(f581,plain,(
% 0.17/0.47 spl0_31 <=> leq(sk0_23,pred(n6))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f583,plain,(
% 0.17/0.47 ~leq(sk0_23,pred(n6))|spl0_31),
% 0.17/0.47 inference(component_clause,[status(thm)],[f581])).
% 0.17/0.47 fof(f584,plain,(
% 0.17/0.47 spl0_32 <=> leq(sk0_24,pred(n6))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f586,plain,(
% 0.17/0.47 ~leq(sk0_24,pred(n6))|spl0_32),
% 0.17/0.47 inference(component_clause,[status(thm)],[f584])).
% 0.17/0.47 fof(f587,plain,(
% 0.17/0.47 ~leq(n0,sk0_23)|~leq(n0,sk0_24)|~leq(sk0_23,pred(n6))|~leq(sk0_24,pred(n6))|~spl0_2),
% 0.17/0.47 inference(resolution,[status(thm)],[f574,f432])).
% 0.17/0.47 fof(f588,plain,(
% 0.17/0.47 ~spl0_29|~spl0_30|~spl0_31|~spl0_32|~spl0_2),
% 0.17/0.47 inference(split_clause,[status(thm)],[f587,f575,f578,f581,f584,f388])).
% 0.17/0.47 fof(f591,plain,(
% 0.17/0.47 leq(sk0_30,pred(n6))|~spl0_8),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f410])).
% 0.17/0.47 fof(f592,plain,(
% 0.17/0.47 $false|spl0_11|~spl0_8),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f591,f470])).
% 0.17/0.47 fof(f593,plain,(
% 0.17/0.47 spl0_11|~spl0_8),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f592])).
% 0.17/0.47 fof(f594,plain,(
% 0.17/0.47 leq(sk0_29,pred(plus(n1,pv57)))|~spl0_6),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f227,f402])).
% 0.17/0.47 fof(f595,plain,(
% 0.17/0.47 leq(sk0_29,pred(succ(pv57)))|~spl0_6),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f218,f594])).
% 0.17/0.47 fof(f596,plain,(
% 0.17/0.47 leq(sk0_29,pv57)|~spl0_6),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f228,f595])).
% 0.17/0.47 fof(f597,plain,(
% 0.17/0.47 $false|spl0_10|~spl0_6),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f596,f467])).
% 0.17/0.47 fof(f598,plain,(
% 0.17/0.47 spl0_10|~spl0_6),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f597])).
% 0.17/0.47 fof(f601,plain,(
% 0.17/0.47 spl0_33 <=> leq(n0,pred(pv57))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f604,plain,(
% 0.17/0.47 spl0_34 <=> ~leq(n0,X0)|~leq(X0,pred(n6))|a_select3(id_ds1_filter,pred(pv57),X0)=a_select3(id_ds1_filter,X0,pred(pv57))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f607,plain,(
% 0.17/0.47 ![X0]: (~leq(n0,pred(pv57))|~leq(n0,X0)|~leq(X0,pred(n6))|a_select3(id_ds1_filter,pred(pv57),X0)=a_select3(id_ds1_filter,X0,pred(pv57)))),
% 0.17/0.47 inference(resolution,[status(thm)],[f109,f439])).
% 0.17/0.47 fof(f608,plain,(
% 0.17/0.47 ~spl0_33|spl0_34),
% 0.17/0.47 inference(split_clause,[status(thm)],[f607,f601,f604])).
% 0.17/0.47 fof(f612,plain,(
% 0.17/0.47 ![X0]: (~pd0_4(X0,sk0_25)|spl0_25)),
% 0.17/0.47 inference(resolution,[status(thm)],[f554,f365])).
% 0.17/0.47 fof(f619,plain,(
% 0.17/0.47 ![X0]: (~pd0_3(sk0_24,X0)|spl0_30)),
% 0.17/0.47 inference(resolution,[status(thm)],[f580,f360])).
% 0.17/0.47 fof(f621,plain,(
% 0.17/0.47 $false|spl0_30|~spl0_2),
% 0.17/0.47 inference(backward_subsumption_resolution,[status(thm)],[f389,f619])).
% 0.17/0.47 fof(f622,plain,(
% 0.17/0.47 spl0_30|~spl0_2),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f621])).
% 0.17/0.47 fof(f623,plain,(
% 0.17/0.47 $false|spl0_26|~spl0_3),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f392,f570])).
% 0.17/0.47 fof(f624,plain,(
% 0.17/0.47 spl0_26|~spl0_3),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f623])).
% 0.17/0.47 fof(f625,plain,(
% 0.17/0.47 $false|spl0_24|~spl0_4),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f395,f547])).
% 0.17/0.47 fof(f626,plain,(
% 0.17/0.47 spl0_24|~spl0_4),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f625])).
% 0.17/0.47 fof(f655,plain,(
% 0.17/0.47 ~gt(sk0_30,n0)|spl0_7),
% 0.17/0.47 inference(resolution,[status(thm)],[f122,f407])).
% 0.17/0.47 fof(f659,plain,(
% 0.17/0.47 ![X0]: (~pd0_3(sk0_24,X0)|spl0_32)),
% 0.17/0.47 inference(resolution,[status(thm)],[f586,f451])).
% 0.17/0.47 fof(f663,plain,(
% 0.17/0.47 $false|spl0_32|~spl0_2),
% 0.17/0.47 inference(backward_subsumption_resolution,[status(thm)],[f389,f659])).
% 0.17/0.47 fof(f664,plain,(
% 0.17/0.47 spl0_32|~spl0_2),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f663])).
% 0.17/0.47 fof(f670,plain,(
% 0.17/0.47 ![X0]: (~pd0_3(X0,sk0_23)|spl0_29)),
% 0.17/0.47 inference(resolution,[status(thm)],[f577,f359])).
% 0.17/0.47 fof(f671,plain,(
% 0.17/0.47 ~gt(sk0_23,n0)|spl0_29),
% 0.17/0.47 inference(resolution,[status(thm)],[f577,f122])).
% 0.17/0.47 fof(f675,plain,(
% 0.17/0.47 ![X0]: (~pd0_4(sk0_26,X0)|spl0_28)),
% 0.17/0.47 inference(resolution,[status(thm)],[f563,f453])).
% 0.17/0.47 fof(f679,plain,(
% 0.17/0.47 $false|spl0_28|~spl0_3),
% 0.17/0.47 inference(backward_subsumption_resolution,[status(thm)],[f392,f675])).
% 0.17/0.47 fof(f680,plain,(
% 0.17/0.47 spl0_28|~spl0_3),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f679])).
% 0.17/0.47 fof(f681,plain,(
% 0.17/0.47 $false|spl0_22|~spl0_4),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f395,f542])).
% 0.17/0.47 fof(f682,plain,(
% 0.17/0.47 spl0_22|~spl0_4),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f681])).
% 0.17/0.47 fof(f683,plain,(
% 0.17/0.47 $false|spl0_29|~spl0_2),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f389,f670])).
% 0.17/0.47 fof(f684,plain,(
% 0.17/0.47 spl0_29|~spl0_2),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f683])).
% 0.17/0.47 fof(f685,plain,(
% 0.17/0.47 $false|spl0_25|~spl0_3),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f392,f612])).
% 0.17/0.47 fof(f686,plain,(
% 0.17/0.47 spl0_25|~spl0_3),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f685])).
% 0.17/0.47 fof(f689,plain,(
% 0.17/0.47 ![X0]: (~pd0_5(X0,sk0_27)|spl0_23)),
% 0.17/0.47 inference(resolution,[status(thm)],[f535,f454])).
% 0.17/0.47 fof(f691,plain,(
% 0.17/0.47 $false|spl0_23|~spl0_4),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f395,f689])).
% 0.17/0.47 fof(f692,plain,(
% 0.17/0.47 spl0_23|~spl0_4),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f691])).
% 0.17/0.47 fof(f693,plain,(
% 0.17/0.47 ![X0]: (~pd0_3(X0,sk0_23)|spl0_31)),
% 0.17/0.47 inference(resolution,[status(thm)],[f583,f450])).
% 0.17/0.47 fof(f697,plain,(
% 0.17/0.47 $false|spl0_31|~spl0_2),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f389,f693])).
% 0.17/0.47 fof(f698,plain,(
% 0.17/0.47 spl0_31|~spl0_2),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f697])).
% 0.17/0.47 fof(f701,plain,(
% 0.17/0.47 ~gt(sk0_29,n0)|spl0_5),
% 0.17/0.47 inference(resolution,[status(thm)],[f399,f122])).
% 0.17/0.47 fof(f711,plain,(
% 0.17/0.47 spl0_35 <=> gt(n0,sk0_29)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f712,plain,(
% 0.17/0.47 gt(n0,sk0_29)|~spl0_35),
% 0.17/0.47 inference(component_clause,[status(thm)],[f711])).
% 0.17/0.47 fof(f714,plain,(
% 0.17/0.47 spl0_36 <=> n0=sk0_29),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f715,plain,(
% 0.17/0.47 n0=sk0_29|~spl0_36),
% 0.17/0.47 inference(component_clause,[status(thm)],[f714])).
% 0.17/0.47 fof(f717,plain,(
% 0.17/0.47 gt(n0,sk0_29)|n0=sk0_29|spl0_5),
% 0.17/0.47 inference(resolution,[status(thm)],[f104,f701])).
% 0.17/0.47 fof(f718,plain,(
% 0.17/0.47 spl0_35|spl0_36|spl0_5),
% 0.17/0.47 inference(split_clause,[status(thm)],[f717,f711,f714,f397])).
% 0.17/0.47 fof(f719,plain,(
% 0.17/0.47 spl0_37 <=> gt(n0,sk0_23)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f720,plain,(
% 0.17/0.47 gt(n0,sk0_23)|~spl0_37),
% 0.17/0.47 inference(component_clause,[status(thm)],[f719])).
% 0.17/0.47 fof(f722,plain,(
% 0.17/0.47 spl0_38 <=> n0=sk0_23),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f723,plain,(
% 0.17/0.47 n0=sk0_23|~spl0_38),
% 0.17/0.47 inference(component_clause,[status(thm)],[f722])).
% 0.17/0.47 fof(f725,plain,(
% 0.17/0.47 gt(n0,sk0_23)|n0=sk0_23|spl0_29),
% 0.17/0.47 inference(resolution,[status(thm)],[f104,f671])).
% 0.17/0.47 fof(f726,plain,(
% 0.17/0.47 spl0_37|spl0_38|spl0_29),
% 0.17/0.47 inference(split_clause,[status(thm)],[f725,f719,f722,f575])).
% 0.17/0.47 fof(f727,plain,(
% 0.17/0.47 gt(n0,n0)|~spl0_36|~spl0_35),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f715,f712])).
% 0.17/0.47 fof(f728,plain,(
% 0.17/0.47 $false|~spl0_36|~spl0_35),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f727,f108])).
% 0.17/0.47 fof(f729,plain,(
% 0.17/0.47 ~spl0_36|~spl0_35),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f728])).
% 0.17/0.47 fof(f731,plain,(
% 0.17/0.47 ~leq(n0,n0)|~spl0_38|spl0_29),
% 0.17/0.47 inference(backward_demodulation,[status(thm)],[f723,f577])).
% 0.17/0.47 fof(f732,plain,(
% 0.17/0.47 ~spl0_14|~spl0_38|spl0_29),
% 0.17/0.47 inference(split_clause,[status(thm)],[f731,f492,f722,f575])).
% 0.17/0.47 fof(f739,plain,(
% 0.17/0.47 gt(n0,n0)|~spl0_38|~spl0_37),
% 0.17/0.47 inference(backward_demodulation,[status(thm)],[f723,f720])).
% 0.17/0.47 fof(f740,plain,(
% 0.17/0.47 $false|~spl0_38|~spl0_37),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f739,f108])).
% 0.17/0.47 fof(f741,plain,(
% 0.17/0.47 ~spl0_38|~spl0_37),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f740])).
% 0.17/0.47 fof(f751,plain,(
% 0.17/0.47 spl0_39 <=> ~leq(n0,uniform_int_rnd(X0,pred(pv57)))|~leq(n0,X1)|~leq(X1,pred(n6))|a_select3(id_ds1_filter,uniform_int_rnd(X0,pred(pv57)),X1)=a_select3(id_ds1_filter,X1,uniform_int_rnd(X0,pred(pv57)))),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f754,plain,(
% 0.17/0.47 ![X0,X1]: (~leq(n0,pred(pv57))|~leq(n0,uniform_int_rnd(X0,pred(pv57)))|~leq(n0,X1)|~leq(X1,pred(n6))|a_select3(id_ds1_filter,uniform_int_rnd(X0,pred(pv57)),X1)=a_select3(id_ds1_filter,X1,uniform_int_rnd(X0,pred(pv57))))),
% 0.17/0.47 inference(resolution,[status(thm)],[f138,f439])).
% 0.17/0.47 fof(f755,plain,(
% 0.17/0.47 ~spl0_33|spl0_39),
% 0.17/0.47 inference(split_clause,[status(thm)],[f754,f601,f751])).
% 0.17/0.47 fof(f800,plain,(
% 0.17/0.47 spl0_40 <=> n0=sk0_30),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f801,plain,(
% 0.17/0.47 n0=sk0_30|~spl0_40),
% 0.17/0.47 inference(component_clause,[status(thm)],[f800])).
% 0.17/0.47 fof(f806,plain,(
% 0.17/0.47 spl0_41 <=> gt(n0,sk0_30)),
% 0.17/0.47 introduced(split_symbol_definition)).
% 0.17/0.47 fof(f807,plain,(
% 0.17/0.47 gt(n0,sk0_30)|~spl0_41),
% 0.17/0.47 inference(component_clause,[status(thm)],[f806])).
% 0.17/0.47 fof(f809,plain,(
% 0.17/0.47 gt(n0,sk0_30)|n0=sk0_30|spl0_7),
% 0.17/0.47 inference(resolution,[status(thm)],[f655,f104])).
% 0.17/0.47 fof(f810,plain,(
% 0.17/0.47 spl0_41|spl0_40|spl0_7),
% 0.17/0.47 inference(split_clause,[status(thm)],[f809,f806,f800,f405])).
% 0.17/0.47 fof(f811,plain,(
% 0.17/0.47 gt(n0,n0)|~spl0_40|~spl0_41),
% 0.17/0.47 inference(forward_demodulation,[status(thm)],[f801,f807])).
% 0.17/0.47 fof(f812,plain,(
% 0.17/0.47 $false|~spl0_40|~spl0_41),
% 0.17/0.47 inference(forward_subsumption_resolution,[status(thm)],[f811,f108])).
% 0.17/0.47 fof(f813,plain,(
% 0.17/0.47 ~spl0_40|~spl0_41),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f812])).
% 0.17/0.47 fof(f816,plain,(
% 0.17/0.47 ![X0]: (~pd0_4(X0,sk0_25)|spl0_27)),
% 0.17/0.47 inference(resolution,[status(thm)],[f560,f452])).
% 0.17/0.47 fof(f822,plain,(
% 0.17/0.47 $false|spl0_27|~spl0_3),
% 0.17/0.47 inference(backward_subsumption_resolution,[status(thm)],[f392,f816])).
% 0.17/0.47 fof(f823,plain,(
% 0.17/0.47 spl0_27|~spl0_3),
% 0.17/0.47 inference(contradiction_clause,[status(thm)],[f822])).
% 0.17/0.47 fof(f824,plain,(
% 0.17/0.47 $false),
% 0.17/0.47 inference(sat_refutation,[status(thm)],[f400,f404,f408,f412,f416,f458,f462,f472,f502,f507,f512,f517,f522,f527,f529,f540,f565,f588,f593,f598,f608,f622,f624,f626,f664,f680,f682,f684,f686,f692,f698,f718,f726,f729,f732,f741,f755,f810,f813,f823])).
% 0.17/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.49 % Elapsed time: 0.143885 seconds
% 0.17/0.49 % CPU time: 0.973242 seconds
% 0.17/0.49 % Total memory used: 77.917 MB
% 0.17/0.49 % Net memory used: 77.086 MB
%------------------------------------------------------------------------------