TSTP Solution File: SWV114+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV114+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 1.72s 0.59s
% Output : CNFRefutation 1.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 30
% Syntax : Number of formulae : 177 ( 69 unt; 0 def)
% Number of atoms : 552 ( 103 equ)
% Maximal formula atoms : 39 ( 3 avg)
% Number of connectives : 611 ( 236 ~; 219 |; 123 &)
% ( 9 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 16 ( 14 usr; 10 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 21 con; 0-3 aty)
% Number of variables : 237 ( 221 !; 16 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X,Y,Z] :
( ( leq(X,Y)
& leq(Y,Z) )
=> leq(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [X] : plus(n1,X) = succ(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,axiom,
! [X] : plus(X,n3) = succ(succ(succ(X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,axiom,
! [X] : plus(n3,X) = succ(succ(succ(X))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [X] : plus(X,n4) = succ(succ(succ(succ(X)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X] : plus(n4,X) = succ(succ(succ(succ(X)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X] : plus(X,n5) = succ(succ(succ(succ(succ(X))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [X] : plus(n5,X) = succ(succ(succ(succ(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) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1)) )
=> a_select3(q_ds1_filter,G,H) = a_select3(q_ds1_filter,H,G) )
& ! [I,J] :
( ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1)) )
=> a_select3(r_ds1_filter,I,J) = a_select3(r_ds1_filter,J,I) )
& ! [K,L] :
( ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,K,L) = a_select3(pminus_ds1_filter,L,K) )
& ! [M] :
( ( leq(n0,M)
& leq(M,minus(n0,n1)) )
=> ! [N] :
( ( leq(n0,N)
& leq(N,minus(n6,n1)) )
=> a_select3(id_ds1_filter,M,N) = a_select3(id_ds1_filter,N,M) ) ) ) ),
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) ) )
=> ( leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1)) )
=> a_select3(q_ds1_filter,G,H) = a_select3(q_ds1_filter,H,G) )
& ! [I,J] :
( ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1)) )
=> a_select3(r_ds1_filter,I,J) = a_select3(r_ds1_filter,J,I) )
& ! [K,L] :
( ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1)) )
=> a_select3(pminus_ds1_filter,K,L) = a_select3(pminus_ds1_filter,L,K) )
& ! [M] :
( ( leq(n0,M)
& leq(M,minus(n0,n1)) )
=> ! [N] :
( ( leq(n0,N)
& leq(N,minus(n6,n1)) )
=> a_select3(id_ds1_filter,M,N) = a_select3(id_ds1_filter,N,M) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f65,axiom,
gt(n0,tptp_minus_1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f94,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n0) )
=> X = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f108,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f110,plain,
! [X,Y,Z] :
( ~ leq(X,Y)
| ~ leq(Y,Z)
| leq(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f5]) ).
fof(f111,plain,
! [X,Z] :
( ! [Y] :
( ~ leq(X,Y)
| ~ leq(Y,Z) )
| leq(X,Z) ),
inference(miniscoping,[status(esa)],[f110]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| leq(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f111]) ).
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(f216,plain,
succ(tptp_minus_1) = n0,
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f218,plain,
! [X0] : plus(n1,X0) = succ(X0),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f221,plain,
! [X0] : plus(X0,n3) = succ(succ(succ(X0))),
inference(cnf_transformation,[status(esa)],[f33]) ).
fof(f222,plain,
! [X0] : plus(n3,X0) = succ(succ(succ(X0))),
inference(cnf_transformation,[status(esa)],[f34]) ).
fof(f223,plain,
! [X0] : plus(X0,n4) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[status(esa)],[f35]) ).
fof(f224,plain,
! [X0] : plus(n4,X0) = succ(succ(succ(succ(X0)))),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f225,plain,
! [X0] : plus(X0,n5) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[status(esa)],[f37]) ).
fof(f226,plain,
! [X0] : plus(n5,X0) = succ(succ(succ(succ(succ(X0))))),
inference(cnf_transformation,[status(esa)],[f38]) ).
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) )
& ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [G,H] :
( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1))
& a_select3(q_ds1_filter,G,H) != a_select3(q_ds1_filter,H,G) )
| ? [I,J] :
( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1))
& a_select3(r_ds1_filter,I,J) != a_select3(r_ds1_filter,J,I) )
| ? [K,L] :
( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(pminus_ds1_filter,K,L) != a_select3(pminus_ds1_filter,L,K) )
| ? [M] :
( leq(n0,M)
& leq(M,minus(n0,n1))
& ? [N] :
( leq(n0,N)
& leq(N,minus(n6,n1))
& a_select3(id_ds1_filter,M,N) != a_select3(id_ds1_filter,N,M) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f262,plain,
! [G,H] :
( pd0_3(H,G)
=> ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1))
& a_select3(q_ds1_filter,G,H) != a_select3(q_ds1_filter,H,G) ) ),
introduced(predicate_definition,[f261]) ).
fof(f263,plain,
! [I,J] :
( pd0_4(J,I)
=> ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1))
& a_select3(r_ds1_filter,I,J) != a_select3(r_ds1_filter,J,I) ) ),
introduced(predicate_definition,[f261]) ).
fof(f264,plain,
! [K,L] :
( pd0_5(L,K)
=> ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(pminus_ds1_filter,K,L) != a_select3(pminus_ds1_filter,L,K) ) ),
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) )
& ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [G,H] : pd0_3(H,G)
| ? [I,J] : pd0_4(J,I)
| ? [K,L] : pd0_5(L,K)
| ? [M] :
( leq(n0,M)
& leq(M,minus(n0,n1))
& ? [N] :
( leq(n0,N)
& leq(N,minus(n6,n1))
& a_select3(id_ds1_filter,M,N) != a_select3(id_ds1_filter,N,M) ) ) ) ),
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) )
& ( ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| pd0_3(sk0_24,sk0_23)
| pd0_4(sk0_26,sk0_25)
| pd0_5(sk0_28,sk0_27)
| ( leq(n0,sk0_29)
& leq(sk0_29,minus(n0,n1))
& leq(n0,sk0_30)
& leq(sk0_30,minus(n6,n1))
& a_select3(id_ds1_filter,sk0_29,sk0_30) != a_select3(id_ds1_filter,sk0_30,sk0_29) ) ) ),
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,
( ~ 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(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(sk0_29,minus(n0,n1)) ),
inference(cnf_transformation,[status(esa)],[f266]) ).
fof(f287,plain,
gt(n0,tptp_minus_1),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f319,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n0)
| X = n0 ),
inference(pre_NNF_transformation,[status(esa)],[f94]) ).
fof(f320,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| X0 = n0 ),
inference(cnf_transformation,[status(esa)],[f319]) ).
fof(f329,plain,
succ(succ(succ(succ(succ(succ(n0)))))) = n6,
inference(cnf_transformation,[status(esa)],[f100]) ).
fof(f330,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(esa)],[f101]) ).
fof(f354,plain,
! [G,H] :
( ~ pd0_3(H,G)
| ( leq(n0,G)
& leq(n0,H)
& leq(G,minus(n6,n1))
& leq(H,minus(n6,n1))
& a_select3(q_ds1_filter,G,H) != a_select3(q_ds1_filter,H,G) ) ),
inference(pre_NNF_transformation,[status(esa)],[f262]) ).
fof(f355,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f354]) ).
fof(f356,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f354]) ).
fof(f357,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X1,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f354]) ).
fof(f358,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f354]) ).
fof(f359,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)],[f354]) ).
fof(f360,plain,
! [I,J] :
( ~ pd0_4(J,I)
| ( leq(n0,I)
& leq(n0,J)
& leq(I,minus(n3,n1))
& leq(J,minus(n3,n1))
& a_select3(r_ds1_filter,I,J) != a_select3(r_ds1_filter,J,I) ) ),
inference(pre_NNF_transformation,[status(esa)],[f263]) ).
fof(f361,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f360]) ).
fof(f362,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f360]) ).
fof(f363,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X1,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f360]) ).
fof(f364,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f360]) ).
fof(f365,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)],[f360]) ).
fof(f366,plain,
! [K,L] :
( ~ pd0_5(L,K)
| ( leq(n0,K)
& leq(n0,L)
& leq(K,minus(n6,n1))
& leq(L,minus(n6,n1))
& a_select3(pminus_ds1_filter,K,L) != a_select3(pminus_ds1_filter,L,K) ) ),
inference(pre_NNF_transformation,[status(esa)],[f264]) ).
fof(f367,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f368,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f369,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f370,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,minus(n6,n1)) ),
inference(cnf_transformation,[status(esa)],[f366]) ).
fof(f371,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)],[f366]) ).
fof(f378,plain,
( spl0_0
<=> leq(n0,pv5) ),
introduced(split_symbol_definition) ).
fof(f380,plain,
( ~ leq(n0,pv5)
| spl0_0 ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,plain,
( spl0_1
<=> leq(pv5,minus(n999,n1)) ),
introduced(split_symbol_definition) ).
fof(f383,plain,
( ~ leq(pv5,minus(n999,n1))
| spl0_1 ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,plain,
( spl0_2
<=> pd0_3(sk0_24,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( pd0_3(sk0_24,sk0_23)
| ~ spl0_2 ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,plain,
( spl0_3
<=> pd0_4(sk0_26,sk0_25) ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( pd0_4(sk0_26,sk0_25)
| ~ spl0_3 ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( spl0_4
<=> pd0_5(sk0_28,sk0_27) ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( pd0_5(sk0_28,sk0_27)
| ~ spl0_4 ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,plain,
( spl0_5
<=> leq(n0,sk0_29) ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( leq(n0,sk0_29)
| ~ spl0_5 ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_5 ),
inference(split_clause,[status(thm)],[f272,f378,f381,f384,f387,f390,f393]) ).
fof(f397,plain,
( spl0_6
<=> leq(sk0_29,minus(n0,n1)) ),
introduced(split_symbol_definition) ).
fof(f398,plain,
( leq(sk0_29,minus(n0,n1))
| ~ spl0_6 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( ~ spl0_0
| ~ spl0_1
| spl0_2
| spl0_3
| spl0_4
| spl0_6 ),
inference(split_clause,[status(thm)],[f273,f378,f381,f384,f387,f390,f397]) ).
fof(f414,plain,
! [X0] : plus(n3,X0) = plus(X0,n3),
inference(forward_demodulation,[status(thm)],[f221,f222]) ).
fof(f415,plain,
! [X0] : plus(X0,n4) = plus(succ(X0),n3),
inference(forward_demodulation,[status(thm)],[f221,f223]) ).
fof(f416,plain,
! [X0] : plus(X0,n4) = plus(n3,succ(X0)),
inference(forward_demodulation,[status(thm)],[f414,f415]) ).
fof(f417,plain,
! [X0] : plus(n4,X0) = plus(succ(X0),n3),
inference(forward_demodulation,[status(thm)],[f221,f224]) ).
fof(f418,plain,
! [X0] : plus(n4,X0) = plus(n3,succ(X0)),
inference(forward_demodulation,[status(thm)],[f414,f417]) ).
fof(f419,plain,
! [X0] : plus(n4,X0) = plus(X0,n4),
inference(forward_demodulation,[status(thm)],[f416,f418]) ).
fof(f420,plain,
! [X0] : plus(X0,n5) = plus(succ(succ(X0)),n3),
inference(forward_demodulation,[status(thm)],[f221,f225]) ).
fof(f421,plain,
! [X0] : plus(X0,n5) = plus(n3,succ(succ(X0))),
inference(forward_demodulation,[status(thm)],[f414,f420]) ).
fof(f422,plain,
! [X0] : plus(X0,n5) = plus(succ(X0),n4),
inference(forward_demodulation,[status(thm)],[f416,f421]) ).
fof(f423,plain,
! [X0] : plus(X0,n5) = plus(n4,succ(X0)),
inference(forward_demodulation,[status(thm)],[f419,f422]) ).
fof(f424,plain,
! [X0] : plus(n5,X0) = plus(succ(succ(X0)),n3),
inference(forward_demodulation,[status(thm)],[f221,f226]) ).
fof(f425,plain,
! [X0] : plus(n5,X0) = plus(n3,succ(succ(X0))),
inference(forward_demodulation,[status(thm)],[f414,f424]) ).
fof(f426,plain,
! [X0] : plus(n5,X0) = plus(succ(X0),n4),
inference(forward_demodulation,[status(thm)],[f416,f425]) ).
fof(f427,plain,
! [X0] : plus(n5,X0) = plus(n4,succ(X0)),
inference(forward_demodulation,[status(thm)],[f419,f426]) ).
fof(f428,plain,
! [X0] : plus(n5,X0) = plus(X0,n5),
inference(forward_demodulation,[status(thm)],[f423,f427]) ).
fof(f431,plain,
leq(pv5,pred(n999)),
inference(forward_demodulation,[status(thm)],[f227,f268]) ).
fof(f432,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(f433,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,f432]) ).
fof(f434,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(f435,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,f434]) ).
fof(f436,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(f437,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,f436]) ).
fof(f446,plain,
plus(succ(succ(succ(n0))),n3) = n6,
inference(forward_demodulation,[status(thm)],[f221,f329]) ).
fof(f447,plain,
plus(n3,succ(succ(succ(n0)))) = n6,
inference(forward_demodulation,[status(thm)],[f414,f446]) ).
fof(f448,plain,
plus(succ(succ(n0)),n4) = n6,
inference(forward_demodulation,[status(thm)],[f416,f447]) ).
fof(f449,plain,
plus(n4,succ(succ(n0))) = n6,
inference(forward_demodulation,[status(thm)],[f419,f448]) ).
fof(f450,plain,
plus(succ(n0),n5) = n6,
inference(forward_demodulation,[status(thm)],[f423,f449]) ).
fof(f451,plain,
plus(n5,succ(n0)) = n6,
inference(forward_demodulation,[status(thm)],[f428,f450]) ).
fof(f454,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X1,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f357]) ).
fof(f455,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X0,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f358]) ).
fof(f456,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X1,pred(n3)) ),
inference(forward_demodulation,[status(thm)],[f227,f363]) ).
fof(f457,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| leq(X0,pred(n3)) ),
inference(forward_demodulation,[status(thm)],[f227,f364]) ).
fof(f458,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f369]) ).
fof(f459,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,pred(n6)) ),
inference(forward_demodulation,[status(thm)],[f227,f370]) ).
fof(f460,plain,
( ~ leq(pv5,pred(n999))
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f227,f383]) ).
fof(f461,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f431]) ).
fof(f462,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f461]) ).
fof(f463,plain,
plus(n5,n1) = n6,
inference(backward_demodulation,[status(thm)],[f330,f451]) ).
fof(f464,plain,
plus(n1,n5) = n6,
inference(forward_demodulation,[status(thm)],[f428,f463]) ).
fof(f465,plain,
succ(n5) = n6,
inference(forward_demodulation,[status(thm)],[f218,f464]) ).
fof(f466,plain,
( $false
| spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f380,f267]) ).
fof(f467,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f466]) ).
fof(f472,plain,
pred(n0) = tptp_minus_1,
inference(paramodulation,[status(thm)],[f216,f228]) ).
fof(f525,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pred(n6))
| ~ leq(X0,pred(n6)) ),
inference(resolution,[status(thm)],[f359,f433]) ).
fof(f526,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(n6))
| ~ leq(X0,pred(n6)) ),
inference(forward_subsumption_resolution,[status(thm)],[f525,f356]) ).
fof(f529,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pred(n3))
| ~ leq(X0,pred(n3)) ),
inference(resolution,[status(thm)],[f365,f435]) ).
fof(f530,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(n3))
| ~ leq(X0,pred(n3)) ),
inference(forward_subsumption_resolution,[status(thm)],[f529,f362]) ).
fof(f533,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,pred(n6))
| ~ leq(X0,pred(n6)) ),
inference(resolution,[status(thm)],[f371,f437]) ).
fof(f534,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(n6))
| ~ leq(X0,pred(n6)) ),
inference(forward_subsumption_resolution,[status(thm)],[f533,f368]) ).
fof(f598,plain,
pred(n6) = n5,
inference(paramodulation,[status(thm)],[f465,f228]) ).
fof(f602,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(n6))
| ~ leq(X0,n5) ),
inference(backward_demodulation,[status(thm)],[f598,f526]) ).
fof(f603,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(forward_demodulation,[status(thm)],[f598,f602]) ).
fof(f604,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[f603,f355]) ).
fof(f615,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X0,n5) ),
inference(backward_demodulation,[status(thm)],[f598,f459]) ).
fof(f616,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| leq(X1,n5) ),
inference(backward_demodulation,[status(thm)],[f598,f458]) ).
fof(f617,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X0,n5) ),
inference(backward_demodulation,[status(thm)],[f598,f455]) ).
fof(f618,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X1,n5) ),
inference(backward_demodulation,[status(thm)],[f598,f454]) ).
fof(f636,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(n6))
| ~ leq(X0,n5) ),
inference(backward_demodulation,[status(thm)],[f598,f534]) ).
fof(f637,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(forward_demodulation,[status(thm)],[f598,f636]) ).
fof(f638,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| ~ leq(X1,n5)
| ~ leq(X0,n5) ),
inference(forward_subsumption_resolution,[status(thm)],[f637,f367]) ).
fof(f647,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| ~ leq(X1,n5) ),
inference(backward_subsumption_resolution,[status(thm)],[f604,f617]) ).
fof(f648,plain,
! [X0,X1] : ~ pd0_3(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f647,f618]) ).
fof(f789,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[status(thm)],[f385,f648]) ).
fof(f790,plain,
~ spl0_2,
inference(contradiction_clause,[status(thm)],[f789]) ).
fof(f868,plain,
( leq(sk0_29,pred(n0))
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f227,f398]) ).
fof(f869,plain,
( leq(sk0_29,tptp_minus_1)
| ~ spl0_6 ),
inference(forward_demodulation,[status(thm)],[f472,f868]) ).
fof(f969,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| ~ leq(n0,X1)
| ~ leq(X1,pred(n3)) ),
inference(backward_subsumption_resolution,[status(thm)],[f530,f457]) ).
fof(f970,plain,
! [X0,X1] :
( ~ pd0_4(X0,X1)
| ~ leq(X1,pred(n3)) ),
inference(forward_subsumption_resolution,[status(thm)],[f969,f361]) ).
fof(f985,plain,
! [X0,X1] : ~ pd0_4(X0,X1),
inference(backward_subsumption_resolution,[status(thm)],[f456,f970]) ).
fof(f986,plain,
( $false
| ~ spl0_3 ),
inference(backward_subsumption_resolution,[status(thm)],[f388,f985]) ).
fof(f987,plain,
~ spl0_3,
inference(contradiction_clause,[status(thm)],[f986]) ).
fof(f1011,plain,
! [X0] :
( ~ leq(X0,sk0_29)
| leq(X0,tptp_minus_1)
| ~ spl0_6 ),
inference(resolution,[status(thm)],[f869,f112]) ).
fof(f1054,plain,
! [X0,X1] :
( ~ pd0_5(X0,X1)
| ~ leq(X0,n5) ),
inference(backward_subsumption_resolution,[status(thm)],[f638,f616]) ).
fof(f1055,plain,
! [X0,X1] : ~ pd0_5(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f1054,f615]) ).
fof(f1056,plain,
( $false
| ~ spl0_4 ),
inference(backward_subsumption_resolution,[status(thm)],[f391,f1055]) ).
fof(f1057,plain,
~ spl0_4,
inference(contradiction_clause,[status(thm)],[f1056]) ).
fof(f1118,plain,
leq(tptp_minus_1,n0),
inference(resolution,[status(thm)],[f122,f287]) ).
fof(f1264,plain,
( leq(n0,tptp_minus_1)
| ~ spl0_6
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f1011,f394]) ).
fof(f1266,plain,
( spl0_52
<=> leq(tptp_minus_1,n0) ),
introduced(split_symbol_definition) ).
fof(f1268,plain,
( ~ leq(tptp_minus_1,n0)
| spl0_52 ),
inference(component_clause,[status(thm)],[f1266]) ).
fof(f1269,plain,
( spl0_53
<=> tptp_minus_1 = n0 ),
introduced(split_symbol_definition) ).
fof(f1270,plain,
( tptp_minus_1 = n0
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f1269]) ).
fof(f1272,plain,
( ~ leq(tptp_minus_1,n0)
| tptp_minus_1 = n0
| ~ spl0_6
| ~ spl0_5 ),
inference(resolution,[status(thm)],[f1264,f320]) ).
fof(f1273,plain,
( ~ spl0_52
| spl0_53
| ~ spl0_6
| ~ spl0_5 ),
inference(split_clause,[status(thm)],[f1272,f1266,f1269,f397,f393]) ).
fof(f1281,plain,
( $false
| spl0_52 ),
inference(forward_subsumption_resolution,[status(thm)],[f1268,f1118]) ).
fof(f1282,plain,
spl0_52,
inference(contradiction_clause,[status(thm)],[f1281]) ).
fof(f1320,plain,
( gt(n0,n0)
| ~ spl0_53 ),
inference(backward_demodulation,[status(thm)],[f1270,f287]) ).
fof(f1321,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f1320,f108]) ).
fof(f1322,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f1321]) ).
fof(f1323,plain,
$false,
inference(sat_refutation,[status(thm)],[f396,f400,f462,f467,f790,f987,f1057,f1273,f1282,f1322]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV114+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n007.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 Apr 30 00:42:32 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 1.72/0.59 % Refutation found
% 1.72/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.72/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.72/0.60 % Elapsed time: 0.242537 seconds
% 1.72/0.60 % CPU time: 1.789245 seconds
% 1.72/0.60 % Total memory used: 83.660 MB
% 1.72/0.60 % Net memory used: 82.313 MB
%------------------------------------------------------------------------------