TSTP Solution File: SWV026+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV026+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:40:29 EDT 2023
% Result : Theorem 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 29
% Syntax : Number of formulae : 160 ( 40 unt; 0 def)
% Number of atoms : 720 ( 152 equ)
% Maximal formula atoms : 70 ( 4 avg)
% Number of connectives : 838 ( 278 ~; 282 |; 224 &)
% ( 24 <=>; 30 =>; 0 <=; 0 <~>)
% Maximal formula depth : 48 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 32 ( 30 usr; 25 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 29 con; 0-3 aty)
% Number of variables : 89 (; 78 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [A] :
( ( leq(n0,A)
& leq(A,n2) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n3) )
=> a_select3(simplex7_init,B,A) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n3) )
=> a_select2(s_values7_init,C) = init )
& ! [D] :
( ( leq(n0,D)
& leq(D,n2) )
=> a_select2(s_center7_init,D) = init )
& ! [E] :
( ( leq(n0,E)
& leq(E,minus(n3,n1)) )
=> a_select2(s_try7_init,E) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [F] :
( ( leq(n0,F)
& leq(F,n2) )
=> ! [G] :
( ( leq(n0,G)
& leq(G,n3) )
=> a_select3(simplex7_init,G,F) = init ) )
& ! [H] :
( ( leq(n0,H)
& leq(H,n3) )
=> a_select2(s_values7_init,H) = init )
& ! [I] :
( ( leq(n0,I)
& leq(I,n2) )
=> a_select2(s_center7_init,I) = init )
& ! [J] :
( ( leq(n0,J)
& leq(J,minus(n3,n1)) )
=> a_select2(s_try7_init,J) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [A] :
( ( leq(n0,A)
& leq(A,n2) )
=> ! [B] :
( ( leq(n0,B)
& leq(B,n3) )
=> a_select3(simplex7_init,B,A) = init ) )
& ! [C] :
( ( leq(n0,C)
& leq(C,n3) )
=> a_select2(s_values7_init,C) = init )
& ! [D] :
( ( leq(n0,D)
& leq(D,n2) )
=> a_select2(s_center7_init,D) = init )
& ! [E] :
( ( leq(n0,E)
& leq(E,minus(n3,n1)) )
=> a_select2(s_try7_init,E) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) )
=> ( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [F] :
( ( leq(n0,F)
& leq(F,n2) )
=> ! [G] :
( ( leq(n0,G)
& leq(G,n3) )
=> a_select3(simplex7_init,G,F) = init ) )
& ! [H] :
( ( leq(n0,H)
& leq(H,n3) )
=> a_select2(s_values7_init,H) = init )
& ! [I] :
( ( leq(n0,I)
& leq(I,n2) )
=> a_select2(s_center7_init,I) = init )
& ! [J] :
( ( leq(n0,J)
& leq(J,minus(n3,n1)) )
=> a_select2(s_try7_init,J) = init )
& ( gt(loopcounter,n1)
=> ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f259,plain,
( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [A] :
( ~ leq(n0,A)
| ~ leq(A,n2)
| ! [B] :
( ~ leq(n0,B)
| ~ leq(B,n3)
| a_select3(simplex7_init,B,A) = init ) )
& ! [C] :
( ~ leq(n0,C)
| ~ leq(C,n3)
| a_select2(s_values7_init,C) = init )
& ! [D] :
( ~ leq(n0,D)
| ~ leq(D,n2)
| a_select2(s_center7_init,D) = init )
& ! [E] :
( ~ leq(n0,E)
| ~ leq(E,minus(n3,n1))
| a_select2(s_try7_init,E) = init )
& ( ~ gt(loopcounter,n1)
| ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) )
& ( init != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| ? [F] :
( leq(n0,F)
& leq(F,n2)
& ? [G] :
( leq(n0,G)
& leq(G,n3)
& a_select3(simplex7_init,G,F) != init ) )
| ? [H] :
( leq(n0,H)
& leq(H,n3)
& a_select2(s_values7_init,H) != init )
| ? [I] :
( leq(n0,I)
& leq(I,n2)
& a_select2(s_center7_init,I) != init )
| ? [J] :
( leq(n0,J)
& leq(J,minus(n3,n1))
& a_select2(s_try7_init,J) != init )
| ( gt(loopcounter,n1)
& ( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f260,plain,
! [F] :
( pd0_3(F)
=> ( leq(n0,F)
& leq(F,n2)
& ? [G] :
( leq(n0,G)
& leq(G,n3)
& a_select3(simplex7_init,G,F) != init ) ) ),
introduced(predicate_definition,[f259]) ).
fof(f261,plain,
! [H] :
( pd0_4(H)
=> ( leq(n0,H)
& leq(H,n3)
& a_select2(s_values7_init,H) != init ) ),
introduced(predicate_definition,[f259]) ).
fof(f262,plain,
! [I] :
( pd0_5(I)
=> ( leq(n0,I)
& leq(I,n2)
& a_select2(s_center7_init,I) != init ) ),
introduced(predicate_definition,[f259]) ).
fof(f263,plain,
! [J] :
( pd0_6(J)
=> ( leq(n0,J)
& leq(J,minus(n3,n1))
& a_select2(s_try7_init,J) != init ) ),
introduced(predicate_definition,[f259]) ).
fof(f264,plain,
( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [A] :
( ~ leq(n0,A)
| ~ leq(A,n2)
| ! [B] :
( ~ leq(n0,B)
| ~ leq(B,n3)
| a_select3(simplex7_init,B,A) = init ) )
& ! [C] :
( ~ leq(n0,C)
| ~ leq(C,n3)
| a_select2(s_values7_init,C) = init )
& ! [D] :
( ~ leq(n0,D)
| ~ leq(D,n2)
| a_select2(s_center7_init,D) = init )
& ! [E] :
( ~ leq(n0,E)
| ~ leq(E,minus(n3,n1))
| a_select2(s_try7_init,E) = init )
& ( ~ gt(loopcounter,n1)
| ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) )
& ( init != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| ? [F] : pd0_3(F)
| ? [H] : pd0_4(H)
| ? [I] : pd0_5(I)
| ? [J] : pd0_6(J)
| ( gt(loopcounter,n1)
& ( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init ) ) ) ),
inference(formula_renaming,[status(thm)],[f259,f263,f262,f261,f260]) ).
fof(f265,plain,
( init = init
& s_best7_init = init
& s_sworst7_init = init
& s_worst7_init = init
& leq(n0,s_best7)
& leq(n0,s_sworst7)
& leq(n0,s_worst7)
& leq(n0,pv9)
& leq(n0,pv19)
& leq(n0,pv20)
& leq(n0,pv1376)
& leq(s_best7,n3)
& leq(s_sworst7,n3)
& leq(s_worst7,n3)
& leq(pv9,minus(n410,n1))
& leq(pv19,minus(n410,n1))
& leq(pv20,minus(n330,n1))
& leq(pv1376,n3)
& ! [A] :
( ~ leq(n0,A)
| ~ leq(A,n2)
| ! [B] :
( ~ leq(n0,B)
| ~ leq(B,n3)
| a_select3(simplex7_init,B,A) = init ) )
& ! [C] :
( ~ leq(n0,C)
| ~ leq(C,n3)
| a_select2(s_values7_init,C) = init )
& ! [D] :
( ~ leq(n0,D)
| ~ leq(D,n2)
| a_select2(s_center7_init,D) = init )
& ! [E] :
( ~ leq(n0,E)
| ~ leq(E,minus(n3,n1))
| a_select2(s_try7_init,E) = init )
& ( ~ gt(loopcounter,n1)
| ( pvar1400_init = init
& pvar1401_init = init
& pvar1402_init = init ) )
& ( init != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| pd0_3(sk0_23)
| pd0_4(sk0_24)
| pd0_5(sk0_25)
| pd0_6(sk0_26)
| ( gt(loopcounter,n1)
& ( pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init ) ) ) ),
inference(skolemization,[status(esa)],[f264]) ).
fof(f267,plain,
s_best7_init = init,
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f268,plain,
s_sworst7_init = init,
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f269,plain,
s_worst7_init = init,
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f270,plain,
leq(n0,s_best7),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f271,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f272,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f274,plain,
leq(n0,pv19),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f275,plain,
leq(n0,pv20),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f276,plain,
leq(n0,pv1376),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f277,plain,
leq(s_best7,n3),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f278,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f279,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f281,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f282,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f283,plain,
leq(pv1376,n3),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f284,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(X1,n3)
| a_select3(simplex7_init,X1,X0) = init ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f285,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n3)
| a_select2(s_values7_init,X0) = init ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f286,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| a_select2(s_center7_init,X0) = init ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f287,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,minus(n3,n1))
| a_select2(s_try7_init,X0) = init ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f288,plain,
( ~ gt(loopcounter,n1)
| pvar1400_init = init ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f289,plain,
( ~ gt(loopcounter,n1)
| pvar1401_init = init ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f290,plain,
( ~ gt(loopcounter,n1)
| pvar1402_init = init ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f291,plain,
( init != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| pd0_3(sk0_23)
| pd0_4(sk0_24)
| pd0_5(sk0_25)
| pd0_6(sk0_26)
| gt(loopcounter,n1) ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f292,plain,
( init != init
| s_best7_init != init
| s_sworst7_init != init
| s_worst7_init != init
| ~ leq(n0,s_best7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,pv19)
| ~ leq(n0,pv20)
| ~ leq(n0,pv1376)
| ~ leq(s_best7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_worst7,n3)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv1376,n3)
| pd0_3(sk0_23)
| pd0_4(sk0_24)
| pd0_5(sk0_25)
| pd0_6(sk0_26)
| pvar1400_init != init
| pvar1401_init != init
| pvar1402_init != init ),
inference(cnf_transformation,[status(esa)],[f265]) ).
fof(f367,plain,
! [F] :
( ~ pd0_3(F)
| ( leq(n0,F)
& leq(F,n2)
& ? [G] :
( leq(n0,G)
& leq(G,n3)
& a_select3(simplex7_init,G,F) != init ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f260]) ).
fof(f368,plain,
! [F] :
( ~ pd0_3(F)
| ( leq(n0,F)
& leq(F,n2)
& leq(n0,sk0_31(F))
& leq(sk0_31(F),n3)
& a_select3(simplex7_init,sk0_31(F),F) != init ) ),
inference(skolemization,[status(esa)],[f367]) ).
fof(f369,plain,
! [X0] :
( ~ pd0_3(X0)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f370,plain,
! [X0] :
( ~ pd0_3(X0)
| leq(X0,n2) ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f371,plain,
! [X0] :
( ~ pd0_3(X0)
| leq(n0,sk0_31(X0)) ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f372,plain,
! [X0] :
( ~ pd0_3(X0)
| leq(sk0_31(X0),n3) ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f373,plain,
! [X0] :
( ~ pd0_3(X0)
| a_select3(simplex7_init,sk0_31(X0),X0) != init ),
inference(cnf_transformation,[status(esa)],[f368]) ).
fof(f374,plain,
! [H] :
( ~ pd0_4(H)
| ( leq(n0,H)
& leq(H,n3)
& a_select2(s_values7_init,H) != init ) ),
inference(pre_NNF_transformation,[status(esa)],[f261]) ).
fof(f375,plain,
! [X0] :
( ~ pd0_4(X0)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f376,plain,
! [X0] :
( ~ pd0_4(X0)
| leq(X0,n3) ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f377,plain,
! [X0] :
( ~ pd0_4(X0)
| a_select2(s_values7_init,X0) != init ),
inference(cnf_transformation,[status(esa)],[f374]) ).
fof(f378,plain,
! [I] :
( ~ pd0_5(I)
| ( leq(n0,I)
& leq(I,n2)
& a_select2(s_center7_init,I) != init ) ),
inference(pre_NNF_transformation,[status(esa)],[f262]) ).
fof(f379,plain,
! [X0] :
( ~ pd0_5(X0)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f378]) ).
fof(f380,plain,
! [X0] :
( ~ pd0_5(X0)
| leq(X0,n2) ),
inference(cnf_transformation,[status(esa)],[f378]) ).
fof(f381,plain,
! [X0] :
( ~ pd0_5(X0)
| a_select2(s_center7_init,X0) != init ),
inference(cnf_transformation,[status(esa)],[f378]) ).
fof(f382,plain,
! [J] :
( ~ pd0_6(J)
| ( leq(n0,J)
& leq(J,minus(n3,n1))
& a_select2(s_try7_init,J) != init ) ),
inference(pre_NNF_transformation,[status(esa)],[f263]) ).
fof(f383,plain,
! [X0] :
( ~ pd0_6(X0)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f384,plain,
! [X0] :
( ~ pd0_6(X0)
| leq(X0,minus(n3,n1)) ),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f385,plain,
! [X0] :
( ~ pd0_6(X0)
| a_select2(s_try7_init,X0) != init ),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f392,plain,
( spl0_0
<=> gt(loopcounter,n1) ),
introduced(split_symbol_definition) ).
fof(f395,plain,
( spl0_1
<=> pvar1400_init = init ),
introduced(split_symbol_definition) ).
fof(f398,plain,
( ~ spl0_0
| spl0_1 ),
inference(split_clause,[status(thm)],[f288,f392,f395]) ).
fof(f399,plain,
( spl0_2
<=> pvar1401_init = init ),
introduced(split_symbol_definition) ).
fof(f402,plain,
( ~ spl0_0
| spl0_2 ),
inference(split_clause,[status(thm)],[f289,f392,f399]) ).
fof(f403,plain,
( spl0_3
<=> pvar1402_init = init ),
introduced(split_symbol_definition) ).
fof(f406,plain,
( ~ spl0_0
| spl0_3 ),
inference(split_clause,[status(thm)],[f290,f392,f403]) ).
fof(f407,plain,
( spl0_4
<=> init = init ),
introduced(split_symbol_definition) ).
fof(f409,plain,
( init != init
| spl0_4 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( spl0_5
<=> s_best7_init = init ),
introduced(split_symbol_definition) ).
fof(f412,plain,
( s_best7_init != init
| spl0_5 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,plain,
( spl0_6
<=> s_sworst7_init = init ),
introduced(split_symbol_definition) ).
fof(f415,plain,
( s_sworst7_init != init
| spl0_6 ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,plain,
( spl0_7
<=> s_worst7_init = init ),
introduced(split_symbol_definition) ).
fof(f418,plain,
( s_worst7_init != init
| spl0_7 ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,plain,
( spl0_8
<=> leq(n0,s_best7) ),
introduced(split_symbol_definition) ).
fof(f421,plain,
( ~ leq(n0,s_best7)
| spl0_8 ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,plain,
( spl0_9
<=> leq(n0,s_sworst7) ),
introduced(split_symbol_definition) ).
fof(f424,plain,
( ~ leq(n0,s_sworst7)
| spl0_9 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( spl0_10
<=> leq(n0,s_worst7) ),
introduced(split_symbol_definition) ).
fof(f427,plain,
( ~ leq(n0,s_worst7)
| spl0_10 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( spl0_11
<=> leq(n0,pv19) ),
introduced(split_symbol_definition) ).
fof(f430,plain,
( ~ leq(n0,pv19)
| spl0_11 ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,plain,
( spl0_12
<=> leq(n0,pv20) ),
introduced(split_symbol_definition) ).
fof(f433,plain,
( ~ leq(n0,pv20)
| spl0_12 ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,plain,
( spl0_13
<=> leq(n0,pv1376) ),
introduced(split_symbol_definition) ).
fof(f436,plain,
( ~ leq(n0,pv1376)
| spl0_13 ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,plain,
( spl0_14
<=> leq(s_best7,n3) ),
introduced(split_symbol_definition) ).
fof(f439,plain,
( ~ leq(s_best7,n3)
| spl0_14 ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,plain,
( spl0_15
<=> leq(s_sworst7,n3) ),
introduced(split_symbol_definition) ).
fof(f442,plain,
( ~ leq(s_sworst7,n3)
| spl0_15 ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,plain,
( spl0_16
<=> leq(s_worst7,n3) ),
introduced(split_symbol_definition) ).
fof(f445,plain,
( ~ leq(s_worst7,n3)
| spl0_16 ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,plain,
( spl0_17
<=> leq(pv19,minus(n410,n1)) ),
introduced(split_symbol_definition) ).
fof(f448,plain,
( ~ leq(pv19,minus(n410,n1))
| spl0_17 ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( spl0_18
<=> leq(pv20,minus(n330,n1)) ),
introduced(split_symbol_definition) ).
fof(f451,plain,
( ~ leq(pv20,minus(n330,n1))
| spl0_18 ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,plain,
( spl0_19
<=> leq(pv1376,n3) ),
introduced(split_symbol_definition) ).
fof(f454,plain,
( ~ leq(pv1376,n3)
| spl0_19 ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,plain,
( spl0_20
<=> pd0_3(sk0_23) ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( pd0_3(sk0_23)
| ~ spl0_20 ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,plain,
( spl0_21
<=> pd0_4(sk0_24) ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( pd0_4(sk0_24)
| ~ spl0_21 ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,plain,
( spl0_22
<=> pd0_5(sk0_25) ),
introduced(split_symbol_definition) ).
fof(f462,plain,
( pd0_5(sk0_25)
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,plain,
( spl0_23
<=> pd0_6(sk0_26) ),
introduced(split_symbol_definition) ).
fof(f465,plain,
( pd0_6(sk0_26)
| ~ spl0_23 ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| spl0_0 ),
inference(split_clause,[status(thm)],[f291,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f461,f464,f392]) ).
fof(f468,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| spl0_20
| spl0_21
| spl0_22
| spl0_23
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(split_clause,[status(thm)],[f292,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f461,f464,f395,f399,f403]) ).
fof(f471,plain,
( $false
| spl0_19 ),
inference(forward_subsumption_resolution,[status(thm)],[f454,f283]) ).
fof(f472,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f471]) ).
fof(f473,plain,
( $false
| spl0_18 ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f282]) ).
fof(f474,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f473]) ).
fof(f475,plain,
( $false
| spl0_17 ),
inference(forward_subsumption_resolution,[status(thm)],[f448,f281]) ).
fof(f476,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f477,plain,
( $false
| spl0_16 ),
inference(forward_subsumption_resolution,[status(thm)],[f445,f279]) ).
fof(f478,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f477]) ).
fof(f479,plain,
( $false
| spl0_15 ),
inference(forward_subsumption_resolution,[status(thm)],[f442,f278]) ).
fof(f480,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f479]) ).
fof(f481,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f439,f277]) ).
fof(f482,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f276]) ).
fof(f484,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f483]) ).
fof(f485,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f433,f275]) ).
fof(f486,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f485]) ).
fof(f487,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f274]) ).
fof(f488,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f487]) ).
fof(f489,plain,
( $false
| spl0_10 ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f272]) ).
fof(f490,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f489]) ).
fof(f491,plain,
( $false
| spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f424,f271]) ).
fof(f492,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f491]) ).
fof(f493,plain,
( $false
| spl0_8 ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f270]) ).
fof(f494,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f493]) ).
fof(f495,plain,
( init != init
| spl0_7 ),
inference(forward_demodulation,[status(thm)],[f269,f418]) ).
fof(f496,plain,
( $false
| spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f495]) ).
fof(f497,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( init != init
| spl0_6 ),
inference(forward_demodulation,[status(thm)],[f268,f415]) ).
fof(f499,plain,
( $false
| spl0_6 ),
inference(trivial_equality_resolution,[status(esa)],[f498]) ).
fof(f500,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( init != init
| spl0_5 ),
inference(forward_demodulation,[status(thm)],[f267,f412]) ).
fof(f502,plain,
( $false
| spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f501]) ).
fof(f503,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( $false
| spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f409]) ).
fof(f505,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f504]) ).
fof(f506,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n3)
| ~ pd0_4(X0) ),
inference(resolution,[status(thm)],[f285,f377]) ).
fof(f507,plain,
! [X0] :
( ~ leq(X0,n3)
| ~ pd0_4(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f506,f375]) ).
fof(f508,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ pd0_5(X0) ),
inference(resolution,[status(thm)],[f286,f381]) ).
fof(f509,plain,
! [X0] :
( ~ leq(X0,n2)
| ~ pd0_5(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f508,f379]) ).
fof(f510,plain,
! [X0] : ~ pd0_4(X0),
inference(forward_subsumption_resolution,[status(thm)],[f507,f376]) ).
fof(f511,plain,
! [X0] : ~ pd0_5(X0),
inference(forward_subsumption_resolution,[status(thm)],[f509,f380]) ).
fof(f512,plain,
! [X0] :
( ~ pd0_3(X0)
| ~ leq(n0,X0)
| ~ leq(X0,n2)
| ~ leq(n0,sk0_31(X0))
| ~ leq(sk0_31(X0),n3) ),
inference(resolution,[status(thm)],[f373,f284]) ).
fof(f513,plain,
! [X0] :
( ~ pd0_3(X0)
| ~ leq(X0,n2)
| ~ leq(n0,sk0_31(X0))
| ~ leq(sk0_31(X0),n3) ),
inference(forward_subsumption_resolution,[status(thm)],[f512,f369]) ).
fof(f530,plain,
! [X0] :
( ~ leq(n0,X0)
| a_select2(s_try7_init,X0) = init
| ~ pd0_6(X0) ),
inference(resolution,[status(thm)],[f287,f384]) ).
fof(f531,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ pd0_6(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f383]) ).
fof(f540,plain,
! [X0] : ~ pd0_6(X0),
inference(forward_subsumption_resolution,[status(thm)],[f531,f385]) ).
fof(f541,plain,
( $false
| ~ spl0_23 ),
inference(backward_subsumption_resolution,[status(thm)],[f465,f540]) ).
fof(f542,plain,
~ spl0_23,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f511]) ).
fof(f544,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f543]) ).
fof(f545,plain,
! [X0] :
( ~ pd0_3(X0)
| ~ leq(n0,sk0_31(X0))
| ~ leq(sk0_31(X0),n3) ),
inference(forward_subsumption_resolution,[status(thm)],[f513,f370]) ).
fof(f546,plain,
! [X0] :
( ~ pd0_3(X0)
| ~ leq(n0,sk0_31(X0))
| ~ pd0_3(X0) ),
inference(resolution,[status(thm)],[f545,f372]) ).
fof(f547,plain,
! [X0] :
( ~ pd0_3(X0)
| ~ leq(n0,sk0_31(X0)) ),
inference(duplicate_literals_removal,[status(esa)],[f546]) ).
fof(f548,plain,
! [X0] : ~ pd0_3(X0),
inference(forward_subsumption_resolution,[status(thm)],[f547,f371]) ).
fof(f549,plain,
( $false
| ~ spl0_20 ),
inference(backward_subsumption_resolution,[status(thm)],[f456,f548]) ).
fof(f550,plain,
~ spl0_20,
inference(contradiction_clause,[status(thm)],[f549]) ).
fof(f551,plain,
( $false
| ~ spl0_21 ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f510]) ).
fof(f552,plain,
~ spl0_21,
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
$false,
inference(sat_refutation,[status(thm)],[f398,f402,f406,f467,f468,f472,f474,f476,f478,f480,f482,f484,f486,f488,f490,f492,f494,f497,f500,f503,f505,f542,f544,f550,f552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWV026+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.10/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n020.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 11:38:43 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.048641 seconds
% 0.13/0.40 % CPU time: 0.172533 seconds
% 0.13/0.40 % Memory used: 21.142 MB
%------------------------------------------------------------------------------