TSTP Solution File: SWV117+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV117+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 20:46:02 EDT 2024
% Result : Theorem 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 29
% Syntax : Number of formulae : 163 ( 12 unt; 0 def)
% Number of atoms : 651 ( 68 equ)
% Maximal formula atoms : 44 ( 3 avg)
% Number of connectives : 775 ( 287 ~; 311 |; 130 &)
% ( 22 <=>; 25 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 26 usr; 23 prp; 0-2 aty)
% Number of functors : 23 ( 23 usr; 18 con; 0-3 aty)
% Number of variables : 180 ( 164 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f30,axiom,
! [X] : plus(n1,X) = succ(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] : pred(succ(X)) = X,
file('/export/starexec/sandbox2/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] :
( ( leq(n0,G)
& leq(G,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [H] :
( ( leq(n0,H)
& leq(H,minus(n6,n1)) )
=> a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [I,J] :
( ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n6,n1))
& leq(J,minus(n6,n1)) )
=> a_select3(q_ds1_filter,I,J) = a_select3(q_ds1_filter,J,I) )
& ! [K,L] :
( ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n3,n1))
& leq(L,minus(n3,n1)) )
=> a_select3(r_ds1_filter,K,L) = a_select3(r_ds1_filter,L,K) )
& ! [M,N] :
( ( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n6,n1))
& leq(N,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,M,N) = a_select3(pminus_ds1_filter,N,M) )
& ! [O] :
( ( leq(n0,O)
& leq(O,minus(n6,n1)) )
=> ! [P] :
( ( leq(n0,P)
& leq(P,minus(n6,n1)) )
=> a_select3(id_ds1_filter,O,P) = a_select3(id_ds1_filter,P,O) ) ) ) ),
file('/export/starexec/sandbox2/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] :
( ( leq(n0,G)
& leq(G,minus(plus(n1,minus(n6,n1)),n1)) )
=> ! [H] :
( ( leq(n0,H)
& leq(H,minus(n6,n1)) )
=> a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G) ) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [I,J] :
( ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n6,n1))
& leq(J,minus(n6,n1)) )
=> a_select3(q_ds1_filter,I,J) = a_select3(q_ds1_filter,J,I) )
& ! [K,L] :
( ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n3,n1))
& leq(L,minus(n3,n1)) )
=> a_select3(r_ds1_filter,K,L) = a_select3(r_ds1_filter,L,K) )
& ! [M,N] :
( ( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n6,n1))
& leq(N,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,M,N) = a_select3(pminus_ds1_filter,N,M) )
& ! [O] :
( ( leq(n0,O)
& leq(O,minus(n6,n1)) )
=> ! [P] :
( ( leq(n0,P)
& leq(P,minus(n6,n1)) )
=> a_select3(id_ds1_filter,O,P) = a_select3(id_ds1_filter,P,O) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f218,plain,
! [X0] : plus(n1,X0) = succ(X0),
inference(cnf_transformation,[status(esa)],[f30]) ).
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] :
( ~ leq(n0,G)
| ~ leq(G,minus(plus(n1,minus(n6,n1)),n1))
| ! [H] :
( ~ leq(n0,H)
| ~ leq(H,minus(n6,n1))
| a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G) ) )
& ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [I,J] :
( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n6,n1))
& leq(J,minus(n6,n1))
& a_select3(q_ds1_filter,I,J) != a_select3(q_ds1_filter,J,I) )
| ? [K,L] :
( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n3,n1))
& leq(L,minus(n3,n1))
& a_select3(r_ds1_filter,K,L) != a_select3(r_ds1_filter,L,K) )
| ? [M,N] :
( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n6,n1))
& leq(N,minus(n6,n1))
& a_select3(pminus_ds1_filter,M,N) != a_select3(pminus_ds1_filter,N,M) )
| ? [O] :
( leq(n0,O)
& leq(O,minus(n6,n1))
& ? [P] :
( leq(n0,P)
& leq(P,minus(n6,n1))
& a_select3(id_ds1_filter,O,P) != a_select3(id_ds1_filter,P,O) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f262,plain,
! [I,J] :
( pd0_3(J,I)
=> ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n6,n1))
& leq(J,minus(n6,n1))
& a_select3(q_ds1_filter,I,J) != a_select3(q_ds1_filter,J,I) ) ),
introduced(predicate_definition,[f261]) ).
fof(f263,plain,
! [K,L] :
( pd0_4(L,K)
=> ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n3,n1))
& leq(L,minus(n3,n1))
& a_select3(r_ds1_filter,K,L) != a_select3(r_ds1_filter,L,K) ) ),
introduced(predicate_definition,[f261]) ).
fof(f264,plain,
! [M,N] :
( pd0_5(N,M)
=> ( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n6,n1))
& leq(N,minus(n6,n1))
& a_select3(pminus_ds1_filter,M,N) != a_select3(pminus_ds1_filter,N,M) ) ),
introduced(predicate_definition,[f261]) ).
fof(f265,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] :
( ~ leq(n0,G)
| ~ leq(G,minus(plus(n1,minus(n6,n1)),n1))
| ! [H] :
( ~ leq(n0,H)
| ~ leq(H,minus(n6,n1))
| a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G) ) )
& ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [I,J] : pd0_3(J,I)
| ? [K,L] : pd0_4(L,K)
| ? [M,N] : pd0_5(N,M)
| ? [O] :
( leq(n0,O)
& leq(O,minus(n6,n1))
& ? [P] :
( leq(n0,P)
& leq(P,minus(n6,n1))
& a_select3(id_ds1_filter,O,P) != a_select3(id_ds1_filter,P,O) ) ) ) ),
inference(formula_renaming,[status(thm)],[f261,f264,f263,f262]) ).
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] :
( ~ leq(n0,G)
| ~ leq(G,minus(plus(n1,minus(n6,n1)),n1))
| ! [H] :
( ~ leq(n0,H)
| ~ leq(H,minus(n6,n1))
| a_select3(id_ds1_filter,G,H) = a_select3(id_ds1_filter,H,G) ) )
& ( ~ 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(n6,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) ) ) ),
inference(skolemization,[status(esa)],[f265]) ).
fof(f267,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f268,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f269,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)],[f266]) ).
fof(f270,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)],[f266]) ).
fof(f271,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)],[f266]) ).
fof(f272,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,minus(plus(n1,minus(n6,n1)),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)],[f266]) ).
fof(f273,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)
| leq(n0,sk0_29) ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f274,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)
| leq(sk0_29,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f266]) ).
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)
| leq(n0,sk0_30) ),
inference(cnf_transformation,[status(esa)],[f266]) ).
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)
| leq(sk0_30,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f266]) ).
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)
| a_select3(id_ds1_filter,sk0_29,sk0_30) != a_select3(id_ds1_filter,sk0_30,sk0_29) ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f355,plain,
! [I,J] :
( ~ pd0_3(J,I)
| ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n6,n1))
& leq(J,minus(n6,n1))
& a_select3(q_ds1_filter,I,J) != a_select3(q_ds1_filter,J,I) ) ),
inference(pre_NNF_transformation,[status(esa)],[f262]) ).
fof(f356,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f355]) ).
fof(f357,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f355]) ).
fof(f358,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X1,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f355]) ).
fof(f359,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f355]) ).
fof(f360,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)],[f355]) ).
fof(f361,plain,
! [K,L] :
( ~ pd0_4(L,K)
| ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n3,n1))
& leq(L,minus(n3,n1))
& a_select3(r_ds1_filter,K,L) != a_select3(r_ds1_filter,L,K) ) ),
inference(pre_NNF_transformation,[status(esa)],[f263]) ).
fof(f362,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f363,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f364,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X1,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f365,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f361]) ).
fof(f366,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)],[f361]) ).
fof(f367,plain,
! [M,N] :
( ~ pd0_5(N,M)
| ( leq(n0,M)
& leq(n0,N)
& leq(M,minus(n6,n1))
& leq(N,minus(n6,n1))
& a_select3(pminus_ds1_filter,M,N) != a_select3(pminus_ds1_filter,N,M) ) ),
inference(pre_NNF_transformation,[status(esa)],[f264]) ).
fof(f368,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f367]) ).
fof(f369,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f367]) ).
fof(f370,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f367]) ).
fof(f371,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f367]) ).
fof(f372,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)],[f367]) ).
fof(f379,plain,
( spl0_0
<=> leq(n0,pv5) ),
introduced(split_symbol_definition) ).
fof(f381,plain,
( ~ leq(n0,pv5)
| spl0_0 ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,plain,
( spl0_1
<=> leq(pv5,minus(n999,n1)) ),
introduced(split_symbol_definition) ).
fof(f384,plain,
( ~ leq(pv5,minus(n999,n1))
| spl0_1 ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,plain,
( spl0_2
<=> pd0_3(sk0_24,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f386,plain,
( pd0_3(sk0_24,sk0_23)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,plain,
( spl0_3
<=> pd0_4(sk0_26,sk0_25) ),
introduced(split_symbol_definition) ).
fof(f389,plain,
( pd0_4(sk0_26,sk0_25)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( spl0_4
<=> pd0_5(sk0_28,sk0_27) ),
introduced(split_symbol_definition) ).
fof(f392,plain,
( pd0_5(sk0_28,sk0_27)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( spl0_5
<=> leq(n0,sk0_29) ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f273,f379,f382,f385,f388,f391,f394]) ).
fof(f398,plain,
( spl0_6
<=> leq(sk0_29,minus(n6,n1)) ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( leq(sk0_29,minus(n6,n1))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_6 ),
inference(split_clause,[status(thm)],[f274,f379,f382,f385,f388,f391,f398]) ).
fof(f402,plain,
( spl0_7
<=> leq(n0,sk0_30) ),
introduced(split_symbol_definition) ).
fof(f405,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_7 ),
inference(split_clause,[status(thm)],[f275,f379,f382,f385,f388,f391,f402]) ).
fof(f406,plain,
( spl0_8
<=> leq(sk0_30,minus(n6,n1)) ),
introduced(split_symbol_definition) ).
fof(f407,plain,
( leq(sk0_30,minus(n6,n1))
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_8 ),
inference(split_clause,[status(thm)],[f276,f379,f382,f385,f388,f391,f406]) ).
fof(f410,plain,
( spl0_9
<=> a_select3(id_ds1_filter,sk0_29,sk0_30) = a_select3(id_ds1_filter,sk0_30,sk0_29) ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( a_select3(id_ds1_filter,sk0_29,sk0_30) != a_select3(id_ds1_filter,sk0_30,sk0_29)
| spl0_9 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| ~ spl0_9 ),
inference(split_clause,[status(thm)],[f277,f379,f382,f385,f388,f391,f410]) ).
fof(f426,plain,
leq(pv5,pred(n999)),
inference(forward_demodulation,[status(thm)],[f227,f268]) ).
fof(f427,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,f269]) ).
fof(f428,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,f427]) ).
fof(f429,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,f270]) ).
fof(f430,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,f429]) ).
fof(f431,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,f271]) ).
fof(f432,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,f431]) ).
fof(f433,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(plus(n1,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(forward_demodulation,[status(thm)],[f227,f272]) ).
fof(f434,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(succ(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(forward_demodulation,[status(thm)],[f218,f433]) ).
fof(f435,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(forward_demodulation,[status(thm)],[f228,f434]) ).
fof(f436,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,f435]) ).
fof(f437,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,f436]) ).
fof(f448,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X1,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f358]) ).
fof(f449,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X0,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f359]) ).
fof(f450,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X1,pred(n3)) ),
inference(forward_demodulation,[status(thm)],[f227,f364]) ).
fof(f451,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X0,pred(n3)) ),
inference(forward_demodulation,[status(thm)],[f227,f365]) ).
fof(f452,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f370]) ).
fof(f453,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f371]) ).
fof(f454,plain,
( ~ leq(pv5,pred(n999))
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f227,f384]) ).
fof(f455,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f454,f426]) ).
fof(f456,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f455]) ).
fof(f459,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f381,f267]) ).
fof(f460,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f459]) ).
fof(f463,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,pred(n6))
| ~ leq(X1,pred(n6))
| ~ pd0_3(X1,X0) ),
inference(resolution,[status(thm)],[f428,f360]) ).
fof(f464,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(n6))
| ~ leq(X1,pred(n6))
| ~ pd0_3(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f463,f357]) ).
fof(f467,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,pred(n6))
| ~ leq(X1,pred(n6))
| ~ pd0_5(X1,X0) ),
inference(resolution,[status(thm)],[f432,f372]) ).
fof(f468,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,pred(n6))
| ~ leq(X1,pred(n6))
| ~ pd0_5(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f467,f369]) ).
fof(f470,plain,
( spl0_10
<=> leq(n0,sk0_27) ),
introduced(split_symbol_definition) ).
fof(f472,plain,
( ~ leq(n0,sk0_27)
| spl0_10 ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,plain,
( spl0_11
<=> leq(sk0_27,pred(n6)) ),
introduced(split_symbol_definition) ).
fof(f475,plain,
( ~ leq(sk0_27,pred(n6))
| spl0_11 ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,plain,
( spl0_12
<=> leq(sk0_28,pred(n6)) ),
introduced(split_symbol_definition) ).
fof(f478,plain,
( ~ leq(sk0_28,pred(n6))
| spl0_12 ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( ~ leq(n0,sk0_27)
| ~ leq(sk0_27,pred(n6))
| ~ leq(sk0_28,pred(n6))
| ~ spl0_4 ),
inference(resolution,[status(thm)],[f468,f392]) ).
fof(f480,plain,
( ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_4 ),
inference(split_clause,[status(thm)],[f479,f470,f473,f476,f391]) ).
fof(f482,plain,
! [X0] :
( ~ pd0_5(X0,sk0_27)
| spl0_10 ),
inference(resolution,[status(thm)],[f472,f368]) ).
fof(f487,plain,
( spl0_13
<=> leq(sk0_29,pred(n6)) ),
introduced(split_symbol_definition) ).
fof(f489,plain,
( ~ leq(sk0_29,pred(n6))
| spl0_13 ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,plain,
( spl0_14
<=> leq(sk0_30,pred(n6)) ),
introduced(split_symbol_definition) ).
fof(f492,plain,
( ~ leq(sk0_30,pred(n6))
| spl0_14 ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( ~ leq(n0,sk0_29)
| ~ leq(sk0_29,pred(n6))
| ~ leq(n0,sk0_30)
| ~ leq(sk0_30,pred(n6))
| spl0_9 ),
inference(resolution,[status(thm)],[f437,f412]) ).
fof(f494,plain,
( ~ spl0_5
| ~ spl0_13
| ~ spl0_7
| ~ spl0_14
| spl0_9 ),
inference(split_clause,[status(thm)],[f493,f394,f487,f402,f490,f410]) ).
fof(f497,plain,
( a_select3(r_ds1_filter,sk0_25,sk0_26) != a_select3(r_ds1_filter,sk0_26,sk0_25)
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f389,f366]) ).
fof(f502,plain,
! [X0] :
( ~ pd0_5(sk0_28,X0)
| spl0_12 ),
inference(resolution,[status(thm)],[f478,f453]) ).
fof(f510,plain,
( spl0_15
<=> leq(n0,sk0_25) ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( ~ leq(n0,sk0_25)
| spl0_15 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( spl0_16
<=> leq(n0,sk0_26) ),
introduced(split_symbol_definition) ).
fof(f515,plain,
( ~ leq(n0,sk0_26)
| spl0_16 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( spl0_17
<=> leq(sk0_25,pred(n3)) ),
introduced(split_symbol_definition) ).
fof(f518,plain,
( ~ leq(sk0_25,pred(n3))
| spl0_17 ),
inference(component_clause,[status(thm)],[f516]) ).
fof(f519,plain,
( spl0_18
<=> leq(sk0_26,pred(n3)) ),
introduced(split_symbol_definition) ).
fof(f521,plain,
( ~ leq(sk0_26,pred(n3))
| spl0_18 ),
inference(component_clause,[status(thm)],[f519]) ).
fof(f522,plain,
( ~ leq(n0,sk0_25)
| ~ leq(n0,sk0_26)
| ~ leq(sk0_25,pred(n3))
| ~ leq(sk0_26,pred(n3))
| ~ spl0_3 ),
inference(resolution,[status(thm)],[f497,f430]) ).
fof(f523,plain,
( ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f522,f510,f513,f516,f519,f388]) ).
fof(f528,plain,
! [X0] :
( ~ pd0_4(sk0_26,X0)
| spl0_16 ),
inference(resolution,[status(thm)],[f515,f363]) ).
fof(f532,plain,
( spl0_19
<=> leq(n0,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f534,plain,
( ~ leq(n0,sk0_23)
| spl0_19 ),
inference(component_clause,[status(thm)],[f532]) ).
fof(f535,plain,
( spl0_20
<=> leq(sk0_23,pred(n6)) ),
introduced(split_symbol_definition) ).
fof(f537,plain,
( ~ leq(sk0_23,pred(n6))
| spl0_20 ),
inference(component_clause,[status(thm)],[f535]) ).
fof(f538,plain,
( spl0_21
<=> leq(sk0_24,pred(n6)) ),
introduced(split_symbol_definition) ).
fof(f540,plain,
( ~ leq(sk0_24,pred(n6))
| spl0_21 ),
inference(component_clause,[status(thm)],[f538]) ).
fof(f541,plain,
( ~ leq(n0,sk0_23)
| ~ leq(sk0_23,pred(n6))
| ~ leq(sk0_24,pred(n6))
| ~ spl0_2 ),
inference(resolution,[status(thm)],[f386,f464]) ).
fof(f542,plain,
( ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f541,f532,f535,f538,f385]) ).
fof(f543,plain,
( leq(sk0_30,pred(n6))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f227,f407]) ).
fof(f544,plain,
( $false
| spl0_14
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f543,f492]) ).
fof(f545,plain,
( spl0_14
| ~ spl0_8 ),
inference(contradiction_clause,[status(thm)],[f544]) ).
fof(f546,plain,
( leq(sk0_29,pred(n6))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f227,f399]) ).
fof(f547,plain,
( $false
| spl0_13
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[status(thm)],[f546,f489]) ).
fof(f548,plain,
( spl0_13
| ~ spl0_6 ),
inference(contradiction_clause,[status(thm)],[f547]) ).
fof(f549,plain,
( $false
| spl0_16
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f528]) ).
fof(f550,plain,
( spl0_16
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f549]) ).
fof(f551,plain,
( $false
| spl0_12
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f392,f502]) ).
fof(f552,plain,
( spl0_12
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f568,plain,
! [X0] :
( ~ pd0_3(sk0_24,X0)
| spl0_21 ),
inference(resolution,[status(thm)],[f540,f449]) ).
fof(f570,plain,
( $false
| spl0_21
| ~ spl0_2 ),
inference(backward_subsumption_resolution,[status(thm)],[f386,f568]) ).
fof(f571,plain,
( spl0_21
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f577,plain,
! [X0] :
( ~ pd0_3(X0,sk0_23)
| spl0_19 ),
inference(resolution,[status(thm)],[f534,f356]) ).
fof(f578,plain,
! [X0] :
( ~ pd0_4(sk0_26,X0)
| spl0_18 ),
inference(resolution,[status(thm)],[f521,f451]) ).
fof(f580,plain,
( $false
| spl0_18
| ~ spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f389,f578]) ).
fof(f581,plain,
( spl0_18
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f580]) ).
fof(f582,plain,
( $false
| spl0_10
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f392,f482]) ).
fof(f583,plain,
( spl0_10
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f584,plain,
( $false
| spl0_19
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f577]) ).
fof(f585,plain,
( spl0_19
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f589,plain,
! [X0] :
( ~ pd0_4(X0,sk0_25)
| spl0_15 ),
inference(resolution,[status(thm)],[f512,f362]) ).
fof(f592,plain,
( $false
| spl0_15
| ~ spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f389,f589]) ).
fof(f593,plain,
( spl0_15
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f592]) ).
fof(f596,plain,
! [X0] :
( ~ pd0_5(X0,sk0_27)
| spl0_11 ),
inference(resolution,[status(thm)],[f475,f452]) ).
fof(f598,plain,
( $false
| spl0_11
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f392,f596]) ).
fof(f599,plain,
( spl0_11
| ~ spl0_4 ),
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f600,plain,
! [X0] :
( ~ pd0_3(X0,sk0_23)
| spl0_20 ),
inference(resolution,[status(thm)],[f537,f448]) ).
fof(f604,plain,
( $false
| spl0_20
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f386,f600]) ).
fof(f605,plain,
( spl0_20
| ~ spl0_2 ),
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f629,plain,
! [X0] :
( ~ pd0_4(X0,sk0_25)
| spl0_17 ),
inference(resolution,[status(thm)],[f518,f450]) ).
fof(f632,plain,
( $false
| spl0_17
| ~ spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f389,f629]) ).
fof(f633,plain,
( spl0_17
| ~ spl0_3 ),
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f634,plain,
$false,
inference(sat_refutation,[status(thm)],[f397,f401,f405,f409,f413,f456,f460,f480,f494,f523,f542,f545,f548,f550,f552,f571,f581,f583,f585,f593,f599,f605,f633]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV117+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.08/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 30 00:24:20 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.51 % Elapsed time: 0.159789 seconds
% 0.19/0.51 % CPU time: 1.114280 seconds
% 0.19/0.51 % Total memory used: 75.442 MB
% 0.19/0.51 % Net memory used: 74.884 MB
%------------------------------------------------------------------------------