TSTP Solution File: SWV115+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV115+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:40:42 EDT 2023
% Result : Theorem 4.05s 0.88s
% Output : CNFRefutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 31
% Syntax : Number of formulae : 193 ( 50 unt; 0 def)
% Number of atoms : 738 ( 110 equ)
% Maximal formula atoms : 54 ( 3 avg)
% Number of connectives : 873 ( 328 ~; 339 |; 161 &)
% ( 14 <=>; 31 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 15 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-3 aty)
% Number of variables : 274 (; 254 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [X] : plus(X,n1) = succ(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] : plus(X,n2) = succ(succ(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] : plus(n3,X) = succ(succ(succ(X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] : pred(succ(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( 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) )
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ( leq(n0,I)
& leq(I,minus(n6,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,R] :
( ( leq(n0,Q)
& leq(n0,R)
& leq(Q,minus(n6,n1))
& leq(R,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,Q,R) = a_select3(pminus_ds1_filter,R,Q) )
& ! [S] :
( ( leq(n0,S)
& leq(S,minus(n6,n1)) )
=> ! [T] :
( ( leq(n0,T)
& leq(T,minus(n6,n1)) )
=> a_select3(id_ds1_filter,S,T) = a_select3(id_ds1_filter,T,S) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( 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) )
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ( leq(n0,I)
& leq(I,minus(n6,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,R] :
( ( leq(n0,Q)
& leq(n0,R)
& leq(Q,minus(n6,n1))
& leq(R,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,Q,R) = a_select3(pminus_ds1_filter,R,Q) )
& ! [S] :
( ( leq(n0,S)
& leq(S,minus(n6,n1)) )
=> ! [T] :
( ( leq(n0,T)
& leq(T,minus(n6,n1)) )
=> a_select3(id_ds1_filter,S,T) = a_select3(id_ds1_filter,T,S) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f77,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f101,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f102,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f103,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f121,plain,
! [X,Y] :
( ~ gt(Y,X)
| leq(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f122,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f121]) ).
fof(f217,plain,
! [X0] : plus(X0,n1) = succ(X0),
inference(cnf_transformation,[status(esa)],[f29]) ).
fof(f219,plain,
! [X0] : plus(X0,n2) = succ(succ(X0)),
inference(cnf_transformation,[status(esa)],[f31]) ).
fof(f222,plain,
! [X0] : plus(n3,X0) = succ(succ(succ(X0))),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f227,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f228,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f261,plain,
( 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) )
& ! [G,H] :
( ~ leq(n0,G)
| ~ leq(n0,H)
| ~ leq(G,minus(n6,n1))
| ~ leq(H,minus(n6,n1))
| a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ~ leq(n0,I)
| ~ leq(I,minus(n6,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,R] :
( leq(n0,Q)
& leq(n0,R)
& leq(Q,minus(n6,n1))
& leq(R,minus(n6,n1))
& a_select3(pminus_ds1_filter,Q,R) != a_select3(pminus_ds1_filter,R,Q) )
| ? [S] :
( leq(n0,S)
& leq(S,minus(n6,n1))
& ? [T] :
( leq(n0,T)
& leq(T,minus(n6,n1))
& a_select3(id_ds1_filter,S,T) != a_select3(id_ds1_filter,T,S) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f262,plain,
! [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) ) ),
introduced(predicate_definition,[f261]) ).
fof(f263,plain,
! [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) ) ),
introduced(predicate_definition,[f261]) ).
fof(f264,plain,
! [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) ) ),
introduced(predicate_definition,[f261]) ).
fof(f265,plain,
! [Q,R] :
( pd0_6(R,Q)
=> ( leq(n0,Q)
& leq(n0,R)
& leq(Q,minus(n6,n1))
& leq(R,minus(n6,n1))
& a_select3(pminus_ds1_filter,Q,R) != a_select3(pminus_ds1_filter,R,Q) ) ),
introduced(predicate_definition,[f261]) ).
fof(f266,plain,
( 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) )
& ! [G,H] :
( ~ leq(n0,G)
| ~ leq(n0,H)
| ~ leq(G,minus(n6,n1))
| ~ leq(H,minus(n6,n1))
| a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ~ leq(n0,I)
| ~ leq(I,minus(n6,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,R] : pd0_6(R,Q)
| ? [S] :
( leq(n0,S)
& leq(S,minus(n6,n1))
& ? [T] :
( leq(n0,T)
& leq(T,minus(n6,n1))
& a_select3(id_ds1_filter,S,T) != a_select3(id_ds1_filter,T,S) ) ) ) ),
inference(formula_renaming,[status(thm)],[f261,f265,f264,f263,f262]) ).
fof(f267,plain,
( 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) )
& ! [G,H] :
( ~ leq(n0,G)
| ~ leq(n0,H)
| ~ leq(G,minus(n6,n1))
| ~ leq(H,minus(n6,n1))
| a_select3(pminus_ds1_filter,G,H) = a_select3(pminus_ds1_filter,H,G) )
& ! [I] :
( ~ leq(n0,I)
| ~ leq(I,minus(n6,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)
| pd0_6(sk0_30,sk0_29)
| ( leq(n0,sk0_31)
& leq(sk0_31,minus(n6,n1))
& leq(n0,sk0_32)
& leq(sk0_32,minus(n6,n1))
& a_select3(id_ds1_filter,sk0_31,sk0_32) != a_select3(id_ds1_filter,sk0_32,sk0_31) ) ) ),
inference(skolemization,[status(esa)],[f266]) ).
fof(f268,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f269,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f270,plain,
! [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) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f271,plain,
! [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) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f272,plain,
! [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) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f274,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,minus(n6,n1))
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1))
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f275,plain,
( ~ 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)
| pd0_6(sk0_30,sk0_29)
| leq(n0,sk0_31) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f276,plain,
( ~ 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)
| pd0_6(sk0_30,sk0_29)
| leq(sk0_31,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f277,plain,
( ~ 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)
| pd0_6(sk0_30,sk0_29)
| leq(n0,sk0_32) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f278,plain,
( ~ 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)
| pd0_6(sk0_30,sk0_29)
| leq(sk0_32,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f279,plain,
( ~ 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)
| pd0_6(sk0_30,sk0_29)
| a_select3(id_ds1_filter,sk0_31,sk0_32) != a_select3(id_ds1_filter,sk0_32,sk0_31) ),
inference(cnf_transformation,[status(esa)],[f267]) ).
fof(f302,plain,
gt(n5,n1),
inference(cnf_transformation,[status(esa)],[f77]) ).
fof(f331,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnf_transformation,[status(esa)],[f99]) ).
fof(f332,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f333,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f334,plain,
succ(succ(n0)) = n2,
inference(cnf_transformation,[status(esa)],[f102]) ).
fof(f335,plain,
succ(succ(succ(n0))) = n3,
inference(cnf_transformation,[status(esa)],[f103]) ).
fof(f357,plain,
! [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) ) ),
inference(pre_NNF_transformation,[status(esa)],[f262]) ).
fof(f358,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f359,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f360,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X1,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f361,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f362,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| a_select3(q_ds1_filter,X1,X0) != a_select3(q_ds1_filter,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f357]) ).
fof(f363,plain,
! [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) ) ),
inference(pre_NNF_transformation,[status(esa)],[f263]) ).
fof(f364,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f365,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f366,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X1,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f367,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f368,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| a_select3(r_ds1_filter,X1,X0) != a_select3(r_ds1_filter,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f363]) ).
fof(f369,plain,
! [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) ) ),
inference(pre_NNF_transformation,[status(esa)],[f264]) ).
fof(f370,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f371,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f372,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f373,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f374,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| a_select3(pminus_ds1_filter,X1,X0) != a_select3(pminus_ds1_filter,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f369]) ).
fof(f375,plain,
! [Q,R] :
( ~ pd0_6(R,Q)
| ( leq(n0,Q)
& leq(n0,R)
& leq(Q,minus(n6,n1))
& leq(R,minus(n6,n1))
& a_select3(pminus_ds1_filter,Q,R) != a_select3(pminus_ds1_filter,R,Q) ) ),
inference(pre_NNF_transformation,[status(esa)],[f265]) ).
fof(f376,plain,
! [X0,X1] :
( ~ pd0_6(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f375]) ).
fof(f377,plain,
! [X0,X1] :
( ~ pd0_6(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f375]) ).
fof(f378,plain,
! [X0,X1] :
( ~ pd0_6(X0,X1)
| leq(X1,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f375]) ).
fof(f379,plain,
! [X0,X1] :
( ~ pd0_6(X0,X1)
| leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f375]) ).
fof(f380,plain,
! [X0,X1] :
( ~ pd0_6(X0,X1)
| a_select3(pminus_ds1_filter,X1,X0) != a_select3(pminus_ds1_filter,X0,X1) ),
inference(cnf_transformation,[status(esa)],[f375]) ).
fof(f387,plain,
( spl0_0
<=> leq(n0,pv5) ),
introduced(split_symbol_definition) ).
fof(f389,plain,
( ~ leq(n0,pv5)
| spl0_0 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_1
<=> leq(pv5,minus(n999,n1)) ),
introduced(split_symbol_definition) ).
fof(f392,plain,
( ~ leq(pv5,minus(n999,n1))
| spl0_1 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_2
<=> pd0_3(sk0_24,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( pd0_3(sk0_24,sk0_23)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( spl0_3
<=> pd0_4(sk0_26,sk0_25) ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( pd0_4(sk0_26,sk0_25)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,plain,
( spl0_4
<=> pd0_5(sk0_28,sk0_27) ),
introduced(split_symbol_definition) ).
fof(f400,plain,
( pd0_5(sk0_28,sk0_27)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,plain,
( spl0_5
<=> pd0_6(sk0_30,sk0_29) ),
introduced(split_symbol_definition) ).
fof(f403,plain,
( pd0_6(sk0_30,sk0_29)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,plain,
( spl0_6
<=> leq(n0,sk0_31) ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_6 ),
inference(split_clause,[status(thm)],[f275,f387,f390,f393,f396,f399,f402,f405]) ).
fof(f409,plain,
( spl0_7
<=> leq(sk0_31,minus(n6,n1)) ),
introduced(split_symbol_definition) ).
fof(f410,plain,
( leq(sk0_31,minus(n6,n1))
| ~ spl0_7 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_7 ),
inference(split_clause,[status(thm)],[f276,f387,f390,f393,f396,f399,f402,f409]) ).
fof(f413,plain,
( spl0_8
<=> leq(n0,sk0_32) ),
introduced(split_symbol_definition) ).
fof(f416,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_8 ),
inference(split_clause,[status(thm)],[f277,f387,f390,f393,f396,f399,f402,f413]) ).
fof(f417,plain,
( spl0_9
<=> leq(sk0_32,minus(n6,n1)) ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( leq(sk0_32,minus(n6,n1))
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| spl0_9 ),
inference(split_clause,[status(thm)],[f278,f387,f390,f393,f396,f399,f402,f417]) ).
fof(f421,plain,
( spl0_10
<=> a_select3(id_ds1_filter,sk0_31,sk0_32) = a_select3(id_ds1_filter,sk0_32,sk0_31) ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( a_select3(id_ds1_filter,sk0_31,sk0_32) != a_select3(id_ds1_filter,sk0_32,sk0_31)
| spl0_10 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5
| ~ spl0_10 ),
inference(split_clause,[status(thm)],[f279,f387,f390,f393,f396,f399,f402,f421]) ).
fof(f430,plain,
leq(pv5,pred(n999)),
inference(forward_demodulation,[status(thm)],[f227,f269]) ).
fof(f431,plain,
! [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) ),
inference(forward_demodulation,[status(thm)],[f227,f270]) ).
fof(f432,plain,
! [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) ),
inference(forward_demodulation,[status(thm)],[f227,f431]) ).
fof(f433,plain,
! [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) ),
inference(forward_demodulation,[status(thm)],[f227,f271]) ).
fof(f434,plain,
! [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) ),
inference(forward_demodulation,[status(thm)],[f227,f433]) ).
fof(f435,plain,
! [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) ),
inference(forward_demodulation,[status(thm)],[f227,f272]) ).
fof(f436,plain,
! [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) ),
inference(forward_demodulation,[status(thm)],[f227,f435]) ).
fof(f439,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(n6))
| ~ leq(n0,X1)
| ~ leq(X1,minus(n6,n1))
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(forward_demodulation,[status(thm)],[f227,f274]) ).
fof(f440,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(n6))
| ~ leq(n0,X1)
| ~ leq(X1,pred(n6))
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(forward_demodulation,[status(thm)],[f227,f439]) ).
fof(f442,plain,
succ(plus(n3,succ(n0))) = n5,
inference(forward_demodulation,[status(thm)],[f222,f331]) ).
fof(f443,plain,
succ(plus(n3,succ(succ(n0)))) = n6,
inference(forward_demodulation,[status(thm)],[f222,f332]) ).
fof(f444,plain,
succ(n1) = n2,
inference(forward_demodulation,[status(thm)],[f333,f334]) ).
fof(f445,plain,
succ(succ(n1)) = n3,
inference(forward_demodulation,[status(thm)],[f333,f335]) ).
fof(f446,plain,
succ(n2) = n3,
inference(forward_demodulation,[status(thm)],[f444,f445]) ).
fof(f447,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X1,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f360]) ).
fof(f448,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X0,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f361]) ).
fof(f449,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X1,pred(n3)) ),
inference(forward_demodulation,[status(thm)],[f227,f366]) ).
fof(f450,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X0,pred(n3)) ),
inference(forward_demodulation,[status(thm)],[f227,f367]) ).
fof(f451,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f372]) ).
fof(f452,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f373]) ).
fof(f453,plain,
! [X0,X1] :
( ~ pd0_6(X0,X1)
| leq(X1,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f378]) ).
fof(f454,plain,
! [X0,X1] :
( ~ pd0_6(X0,X1)
| leq(X0,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f379]) ).
fof(f455,plain,
( ~ leq(pv5,pred(n999))
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f227,f392]) ).
fof(f456,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f455,f430]) ).
fof(f457,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f456]) ).
fof(f458,plain,
succ(plus(n3,succ(n1))) = n6,
inference(backward_demodulation,[status(thm)],[f333,f443]) ).
fof(f459,plain,
succ(plus(n3,n2)) = n6,
inference(forward_demodulation,[status(thm)],[f444,f458]) ).
fof(f460,plain,
succ(succ(succ(n3))) = n6,
inference(forward_demodulation,[status(thm)],[f219,f459]) ).
fof(f461,plain,
succ(plus(n3,n1)) = n5,
inference(backward_demodulation,[status(thm)],[f333,f442]) ).
fof(f462,plain,
succ(succ(n3)) = n5,
inference(forward_demodulation,[status(thm)],[f217,f461]) ).
fof(f463,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f268]) ).
fof(f464,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f463]) ).
fof(f466,plain,
succ(n5) = n6,
inference(backward_demodulation,[status(thm)],[f462,f460]) ).
fof(f604,plain,
( leq(sk0_32,pred(n6))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f227,f418]) ).
fof(f605,plain,
( leq(sk0_31,pred(n6))
| ~ spl0_7 ),
inference(forward_demodulation,[status(thm)],[f227,f410]) ).
fof(f618,plain,
pred(n3) = n2,
inference(paramodulation,[status(thm)],[f446,f228]) ).
fof(f620,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X1,n2) ),
inference(backward_demodulation,[status(thm)],[f618,f449]) ).
fof(f621,plain,
! [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) ),
inference(backward_demodulation,[status(thm)],[f618,f434]) ).
fof(f622,plain,
! [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) ),
inference(forward_demodulation,[status(thm)],[f618,f621]) ).
fof(f625,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X0,n2) ),
inference(backward_demodulation,[status(thm)],[f618,f450]) ).
fof(f626,plain,
pred(n6) = n5,
inference(paramodulation,[status(thm)],[f466,f228]) ).
fof(f628,plain,
! [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) ),
inference(backward_demodulation,[status(thm)],[f626,f436]) ).
fof(f629,plain,
! [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) ),
inference(forward_demodulation,[status(thm)],[f626,f628]) ).
fof(f630,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X0,n5) ),
inference(backward_demodulation,[status(thm)],[f626,f448]) ).
fof(f631,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X1,n5) ),
inference(backward_demodulation,[status(thm)],[f626,f447]) ).
fof(f632,plain,
! [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) ),
inference(backward_demodulation,[status(thm)],[f626,f432]) ).
fof(f633,plain,
! [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) ),
inference(forward_demodulation,[status(thm)],[f626,f632]) ).
fof(f636,plain,
( leq(sk0_31,n5)
| ~ spl0_7 ),
inference(backward_demodulation,[status(thm)],[f626,f605]) ).
fof(f637,plain,
( leq(sk0_32,n5)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f626,f604]) ).
fof(f641,plain,
! [X0,X1] :
( ~ pd0_6(X0,X1)
| leq(X0,n5) ),
inference(backward_demodulation,[status(thm)],[f626,f454]) ).
fof(f642,plain,
! [X0,X1] :
( ~ pd0_6(X0,X1)
| leq(X1,n5) ),
inference(backward_demodulation,[status(thm)],[f626,f453]) ).
fof(f643,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,n5) ),
inference(backward_demodulation,[status(thm)],[f626,f452]) ).
fof(f644,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,n5) ),
inference(backward_demodulation,[status(thm)],[f626,f451]) ).
fof(f645,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(n6))
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(backward_demodulation,[status(thm)],[f626,f440]) ).
fof(f646,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| a_select3(id_ds1_filter,X0,X1) = a_select3(id_ds1_filter,X1,X0) ),
inference(forward_demodulation,[status(thm)],[f626,f645]) ).
fof(f1202,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ pd0_6(X1,X0) ),
inference(resolution,[status(thm)],[f629,f380]) ).
fof(f1203,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ pd0_6(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1202,f377]) ).
fof(f1204,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ pd0_5(X1,X0) ),
inference(resolution,[status(thm)],[f629,f374]) ).
fof(f1205,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ pd0_5(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1204,f371]) ).
fof(f1208,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ pd0_3(X1,X0) ),
inference(resolution,[status(thm)],[f633,f362]) ).
fof(f1209,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ pd0_3(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1208,f359]) ).
fof(f1295,plain,
! [X0,X1] :
( ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ pd0_3(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1209,f358]) ).
fof(f1296,plain,
! [X0,X1] :
( ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ pd0_5(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1205,f370]) ).
fof(f1297,plain,
! [X0,X1] :
( ~ leq(X0,n5)
| ~ leq(X1,n5)
| ~ pd0_6(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1203,f376]) ).
fof(f1479,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,n2)
| ~ pd0_4(X1,X0) ),
inference(resolution,[status(thm)],[f622,f368]) ).
fof(f1480,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(X1,n2)
| ~ pd0_4(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1479,f365]) ).
fof(f1611,plain,
! [X0,X1] :
( ~ leq(X0,n5)
| ~ pd0_5(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f1296,f644]) ).
fof(f1612,plain,
! [X0,X1] : ~ pd0_5(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f643,f1611]) ).
fof(f1613,plain,
! [X0,X1] :
( ~ leq(X0,n5)
| ~ pd0_3(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1295,f630]) ).
fof(f1614,plain,
! [X0,X1] : ~ pd0_3(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f1613,f631]) ).
fof(f1615,plain,
! [X0,X1] :
( ~ leq(X0,n5)
| ~ pd0_6(X1,X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f1297,f641]) ).
fof(f1616,plain,
! [X0,X1] : ~ pd0_6(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f1615,f642]) ).
fof(f1623,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f400,f1612]) ).
fof(f1624,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f1623]) ).
fof(f1625,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[status(thm)],[f403,f1616]) ).
fof(f1626,plain,
~ spl0_5,
inference(contradiction_clause,[status(thm)],[f1625]) ).
fof(f1645,plain,
! [X0,X1] :
( ~ leq(X0,n2)
| ~ leq(X1,n2)
| ~ pd0_4(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1480,f364]) ).
fof(f1869,plain,
( spl0_103
<=> leq(sk0_32,n5) ),
introduced(split_symbol_definition) ).
fof(f1871,plain,
( ~ leq(sk0_32,n5)
| spl0_103 ),
inference(component_clause,[status(thm)],[f1869]) ).
fof(f1872,plain,
( spl0_104
<=> leq(sk0_31,n5) ),
introduced(split_symbol_definition) ).
fof(f1874,plain,
( ~ leq(sk0_31,n5)
| spl0_104 ),
inference(component_clause,[status(thm)],[f1872]) ).
fof(f2037,plain,
! [X0,X1] :
( ~ leq(X0,n2)
| ~ pd0_4(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1645,f625]) ).
fof(f2038,plain,
! [X0,X1] : ~ pd0_4(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f620,f2037]) ).
fof(f2041,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f397,f2038]) ).
fof(f2042,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f2041]) ).
fof(f2043,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f394,f1614]) ).
fof(f2044,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f2043]) ).
fof(f2518,plain,
( spl0_143
<=> leq(n1,n5) ),
introduced(split_symbol_definition) ).
fof(f2520,plain,
( ~ leq(n1,n5)
| spl0_143 ),
inference(component_clause,[status(thm)],[f2518]) ).
fof(f2734,plain,
( ~ gt(n5,n1)
| spl0_143 ),
inference(resolution,[status(thm)],[f2520,f122]) ).
fof(f2735,plain,
( $false
| spl0_143 ),
inference(forward_subsumption_resolution,[status(thm)],[f2734,f302]) ).
fof(f2736,plain,
spl0_143,
inference(contradiction_clause,[status(thm)],[f2735]) ).
fof(f2737,plain,
( $false
| ~ spl0_9
| spl0_103 ),
inference(forward_subsumption_resolution,[status(thm)],[f1871,f637]) ).
fof(f2738,plain,
( ~ spl0_9
| spl0_103 ),
inference(contradiction_clause,[status(thm)],[f2737]) ).
fof(f2832,plain,
( ~ leq(n0,sk0_31)
| ~ leq(sk0_31,n5)
| ~ leq(n0,sk0_32)
| ~ leq(sk0_32,n5)
| spl0_10 ),
inference(resolution,[status(thm)],[f423,f646]) ).
fof(f2833,plain,
( ~ spl0_6
| ~ spl0_104
| ~ spl0_8
| ~ spl0_103
| spl0_10 ),
inference(split_clause,[status(thm)],[f2832,f405,f1872,f413,f1869,f421]) ).
fof(f2836,plain,
( $false
| ~ spl0_7
| spl0_104 ),
inference(forward_subsumption_resolution,[status(thm)],[f1874,f636]) ).
fof(f2837,plain,
( ~ spl0_7
| spl0_104 ),
inference(contradiction_clause,[status(thm)],[f2836]) ).
fof(f2838,plain,
$false,
inference(sat_refutation,[status(thm)],[f408,f412,f416,f420,f424,f457,f464,f1624,f1626,f2042,f2044,f2736,f2738,f2833,f2837]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWV115+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 11:55:19 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.5.1
% 4.05/0.88 % Refutation found
% 4.05/0.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 4.05/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.05/0.90 % Elapsed time: 0.547008 seconds
% 4.05/0.90 % CPU time: 4.182370 seconds
% 4.05/0.90 % Memory used: 97.896 MB
%------------------------------------------------------------------------------