%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV027+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:46:28 PM UTC 2026
% Result : Theorem 0.27s 0.99s
% Output : CNFRefutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 40
% Syntax : Number of formulae : 205 ( 36 unt; 38 def)
% Number of atoms : 863 ( 170 equ)
% Maximal formula atoms : 68 ( 4 avg)
% Number of connectives : 1001 ( 343 ~; 361 |; 233 &)
% ( 38 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 46 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 35 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 28 con; 0-3 aty)
% Number of variables : 91 ( 79 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f39,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [E] :
( ( leq(E,minus(n3,n1))
& leq(n0,E) )
=> a_select2(s_try7_init,E) = init )
& ! [D] :
( ( leq(D,n2)
& leq(n0,D) )
=> a_select2(s_center7_init,D) = init )
& ! [C] :
( ( leq(C,n3)
& leq(n0,C) )
=> a_select2(s_values7_init,C) = init )
& ! [A] :
( ( leq(A,n2)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n3)
& leq(n0,B) )
=> a_select3(simplex7_init,B,A) = init ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init )
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [J] :
( ( leq(J,minus(n3,n1))
& leq(n0,J) )
=> a_select2(s_try7_init,J) = init )
& ! [I] :
( ( leq(I,n2)
& leq(n0,I) )
=> a_select2(s_center7_init,I) = init )
& ! [H] :
( ( leq(H,n3)
& leq(n0,H) )
=> a_select2(s_values7_init,H) = init )
& ! [F] :
( ( leq(F,n2)
& leq(n0,F) )
=> ! [G] :
( ( leq(G,n3)
& leq(n0,G) )
=> a_select3(simplex7_init,G,F) = init ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [E] :
( ( leq(E,minus(n3,n1))
& leq(n0,E) )
=> a_select2(s_try7_init,E) = init )
& ! [D] :
( ( leq(D,n2)
& leq(n0,D) )
=> a_select2(s_center7_init,D) = init )
& ! [C] :
( ( leq(C,n3)
& leq(n0,C) )
=> a_select2(s_values7_init,C) = init )
& ! [A] :
( ( leq(A,n2)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n3)
& leq(n0,B) )
=> a_select3(simplex7_init,B,A) = init ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init )
=> ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [J] :
( ( leq(J,minus(n3,n1))
& leq(n0,J) )
=> a_select2(s_try7_init,J) = init )
& ! [I] :
( ( leq(I,n2)
& leq(n0,I) )
=> a_select2(s_center7_init,I) = init )
& ! [H] :
( ( leq(H,n3)
& leq(n0,H) )
=> a_select2(s_values7_init,H) = init )
& ! [F] :
( ( leq(F,n2)
& leq(n0,F) )
=> ! [G] :
( ( leq(G,n3)
& leq(n0,G) )
=> a_select3(simplex7_init,G,F) = init ) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f225,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f259,plain,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [J] :
( a_select2(s_try7_init,J) != init
& leq(J,minus(n3,n1))
& leq(n0,J) )
| ? [I] :
( a_select2(s_center7_init,I) != init
& leq(I,n2)
& leq(n0,I) )
| ? [H] :
( a_select2(s_values7_init,H) != init
& leq(H,n3)
& leq(n0,H) )
| ? [F] :
( ? [G] :
( a_select3(simplex7_init,G,F) != init
& leq(G,n3)
& leq(n0,G) )
& leq(F,n2)
& leq(n0,F) )
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [E] :
( a_select2(s_try7_init,E) = init
| ~ leq(E,minus(n3,n1))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f260,definition,
! [F] :
( sP3_prd(F)
<=> ( ? [G] :
( a_select3(simplex7_init,G,F) != init
& leq(G,n3)
& leq(n0,G) )
& leq(F,n2)
& leq(n0,F) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f261,definition,
! [H] :
( sP4_prd(H)
<=> ( a_select2(s_values7_init,H) != init
& leq(H,n3)
& leq(n0,H) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f262,definition,
! [I] :
( sP5_prd(I)
<=> ( a_select2(s_center7_init,I) != init
& leq(I,n2)
& leq(n0,I) ) ),
introduced(definition,[new_symbols(definition,[sP5_prd])],[]) ).
fof(f263,definition,
! [J] :
( sP6_prd(J)
<=> ( a_select2(s_try7_init,J) != init
& leq(J,minus(n3,n1))
& leq(n0,J) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f264,plain,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [J] : sP6_prd(J)
| ? [I] : sP5_prd(I)
| ? [H] : sP4_prd(H)
| ? [F] : sP3_prd(F)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [E] :
( a_select2(s_try7_init,E) = init
| ~ leq(E,minus(n3,n1))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(formula_renaming,[status(thm)],[f259,f263,f262,f261,f260]) ).
fof(f265,plain,
( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| sP6_prd(sK26_skl)
| sP5_prd(sK25_skl)
| sP4_prd(sK24_skl)
| sP3_prd(sK23_skl)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [E] :
( a_select2(s_try7_init,E) = init
| ~ leq(E,minus(n3,n1))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1376,n3)
& leq(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(F,sK23_skl),skolemize(H,sK24_skl),skolemize(I,sK25_skl),skolemize(J,sK26_skl)],[f264]) ).
fof(f267,plain,
s_best7_init = init,
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f268,plain,
s_sworst7_init = init,
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f269,plain,
s_worst7_init = init,
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f270,plain,
leq(n0,s_best7),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f271,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f272,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f273,plain,
leq(n0,pv19),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f274,plain,
leq(n0,pv20),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f275,plain,
leq(n0,pv1376),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f276,plain,
leq(s_best7,n3),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f277,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f278,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f279,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f280,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f281,plain,
leq(pv1376,n3),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f282,plain,
! [X0,X1] :
( a_select3(simplex7_init,X1,X0) = init
| ~ leq(X1,n3)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f283,plain,
! [X0] :
( a_select2(s_values7_init,X0) = init
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f284,plain,
! [X0] :
( a_select2(s_center7_init,X0) = init
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f285,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f286,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f287,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f288,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f289,plain,
( gt(loopcounter,n1)
| sP6_prd(sK26_skl)
| sP5_prd(sK25_skl)
| sP4_prd(sK24_skl)
| sP3_prd(sK23_skl)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f290,plain,
( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| sP6_prd(sK26_skl)
| sP5_prd(sK25_skl)
| sP4_prd(sK24_skl)
| sP3_prd(sK23_skl)
| ~ leq(pv1376,n3)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv1376)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f372,plain,
! [F] :
( ( ! [G] :
( a_select3(simplex7_init,G,F) = init
| ~ leq(G,n3)
| ~ leq(n0,G) )
| ~ leq(F,n2)
| ~ leq(n0,F)
| sP3_prd(F) )
& ( ( ? [G] :
( a_select3(simplex7_init,G,F) != init
& leq(G,n3)
& leq(n0,G) )
& leq(F,n2)
& leq(n0,F) )
| ~ sP3_prd(F) ) ),
inference(NNF_transformation,[status(thm)],[f260]) ).
fof(f373,plain,
( ! [F] :
( ! [G] :
( a_select3(simplex7_init,G,F) = init
| ~ leq(G,n3)
| ~ leq(n0,G) )
| ~ leq(F,n2)
| ~ leq(n0,F)
| sP3_prd(F) )
& ! [F] :
( ( ? [G] :
( a_select3(simplex7_init,G,F) != init
& leq(G,n3)
& leq(n0,G) )
& leq(F,n2)
& leq(n0,F) )
| ~ sP3_prd(F) ) ),
inference(miniscoping,[status(thm)],[f372]) ).
fof(f374,plain,
( ! [F] :
( ! [G] :
( a_select3(simplex7_init,G,F) = init
| ~ leq(G,n3)
| ~ leq(n0,G) )
| ~ leq(F,n2)
| ~ leq(n0,F)
| sP3_prd(F) )
& ! [F] :
( ( a_select3(simplex7_init,sK31_skl(F),F) != init
& leq(sK31_skl(F),n3)
& leq(n0,sK31_skl(F))
& leq(F,n2)
& leq(n0,F) )
| ~ sP3_prd(F) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31_skl]),skolemize(G,sK31_skl(F))],[f373]) ).
fof(f375,plain,
! [X0] :
( leq(n0,X0)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f376,plain,
! [X0] :
( leq(X0,n2)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f377,plain,
! [X0] :
( leq(n0,sK31_skl(X0))
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f378,plain,
! [X0] :
( leq(sK31_skl(X0),n3)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f379,plain,
! [X0] :
( a_select3(simplex7_init,sK31_skl(X0),X0) != init
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f374]) ).
fof(f381,plain,
! [H] :
( ( a_select2(s_values7_init,H) = init
| ~ leq(H,n3)
| ~ leq(n0,H)
| sP4_prd(H) )
& ( ( a_select2(s_values7_init,H) != init
& leq(H,n3)
& leq(n0,H) )
| ~ sP4_prd(H) ) ),
inference(NNF_transformation,[status(thm)],[f261]) ).
fof(f382,plain,
( ! [H] :
( a_select2(s_values7_init,H) = init
| ~ leq(H,n3)
| ~ leq(n0,H)
| sP4_prd(H) )
& ! [H] :
( ( a_select2(s_values7_init,H) != init
& leq(H,n3)
& leq(n0,H) )
| ~ sP4_prd(H) ) ),
inference(miniscoping,[status(thm)],[f381]) ).
fof(f383,plain,
! [X0] :
( leq(n0,X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f384,plain,
! [X0] :
( leq(X0,n3)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f385,plain,
! [X0] :
( a_select2(s_values7_init,X0) != init
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f387,plain,
! [I] :
( ( a_select2(s_center7_init,I) = init
| ~ leq(I,n2)
| ~ leq(n0,I)
| sP5_prd(I) )
& ( ( a_select2(s_center7_init,I) != init
& leq(I,n2)
& leq(n0,I) )
| ~ sP5_prd(I) ) ),
inference(NNF_transformation,[status(thm)],[f262]) ).
fof(f388,plain,
( ! [I] :
( a_select2(s_center7_init,I) = init
| ~ leq(I,n2)
| ~ leq(n0,I)
| sP5_prd(I) )
& ! [I] :
( ( a_select2(s_center7_init,I) != init
& leq(I,n2)
& leq(n0,I) )
| ~ sP5_prd(I) ) ),
inference(miniscoping,[status(thm)],[f387]) ).
fof(f389,plain,
! [X0] :
( leq(n0,X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f390,plain,
! [X0] :
( leq(X0,n2)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f391,plain,
! [X0] :
( a_select2(s_center7_init,X0) != init
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f393,plain,
! [J] :
( ( a_select2(s_try7_init,J) = init
| ~ leq(J,minus(n3,n1))
| ~ leq(n0,J)
| sP6_prd(J) )
& ( ( a_select2(s_try7_init,J) != init
& leq(J,minus(n3,n1))
& leq(n0,J) )
| ~ sP6_prd(J) ) ),
inference(NNF_transformation,[status(thm)],[f263]) ).
fof(f394,plain,
( ! [J] :
( a_select2(s_try7_init,J) = init
| ~ leq(J,minus(n3,n1))
| ~ leq(n0,J)
| sP6_prd(J) )
& ! [J] :
( ( a_select2(s_try7_init,J) != init
& leq(J,minus(n3,n1))
& leq(n0,J) )
| ~ sP6_prd(J) ) ),
inference(miniscoping,[status(thm)],[f393]) ).
fof(f395,plain,
! [X0] :
( leq(n0,X0)
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f396,plain,
! [X0] :
( leq(X0,minus(n3,n1))
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f397,plain,
! [X0] :
( a_select2(s_try7_init,X0) != init
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f394]) ).
fof(f407,definition,
( sQ0_spl
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f410,definition,
( sQ1_spl
<=> pvar1400_init = init ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f286,f407,f410]) ).
fof(f414,definition,
( sQ2_spl
<=> pvar1401_init = init ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f287,f407,f414]) ).
fof(f418,definition,
( sQ3_spl
<=> pvar1402_init = init ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f288,f407,f418]) ).
fof(f422,definition,
( sQ4_spl
<=> init = init ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( sQ4_spl
| init != init ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ5_spl
<=> s_best7_init = init ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ5_spl
| s_best7_init != init ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ6_spl
<=> s_sworst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( sQ6_spl
| s_sworst7_init != init ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ7_spl
<=> s_worst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( sQ7_spl
| s_worst7_init != init ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ8_spl
<=> leq(n0,s_best7) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( sQ8_spl
| ~ leq(n0,s_best7) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ9_spl
<=> leq(n0,s_sworst7) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f439,plain,
( sQ9_spl
| ~ leq(n0,s_sworst7) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ10_spl
<=> leq(n0,s_worst7) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( sQ10_spl
| ~ leq(n0,s_worst7) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ11_spl
<=> leq(n0,pv19) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f445,plain,
( sQ11_spl
| ~ leq(n0,pv19) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ12_spl
<=> leq(n0,pv20) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f448,plain,
( sQ12_spl
| ~ leq(n0,pv20) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,definition,
( sQ13_spl
<=> leq(n0,pv1376) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( sQ13_spl
| ~ leq(n0,pv1376) ),
inference(component_clause,[status(thm)],[f449]) ).
fof(f452,definition,
( sQ14_spl
<=> leq(s_best7,n3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( sQ14_spl
| ~ leq(s_best7,n3) ),
inference(component_clause,[status(thm)],[f452]) ).
fof(f455,definition,
( sQ15_spl
<=> leq(s_sworst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( sQ15_spl
| ~ leq(s_sworst7,n3) ),
inference(component_clause,[status(thm)],[f455]) ).
fof(f458,definition,
( sQ16_spl
<=> leq(s_worst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( sQ16_spl
| ~ leq(s_worst7,n3) ),
inference(component_clause,[status(thm)],[f458]) ).
fof(f461,definition,
( sQ17_spl
<=> leq(pv19,minus(n410,n1)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( sQ17_spl
| ~ leq(pv19,minus(n410,n1)) ),
inference(component_clause,[status(thm)],[f461]) ).
fof(f464,definition,
( sQ18_spl
<=> leq(pv20,minus(n330,n1)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( sQ18_spl
| ~ leq(pv20,minus(n330,n1)) ),
inference(component_clause,[status(thm)],[f464]) ).
fof(f467,definition,
( sQ19_spl
<=> leq(pv1376,n3) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( sQ19_spl
| ~ leq(pv1376,n3) ),
inference(component_clause,[status(thm)],[f467]) ).
fof(f470,definition,
( sQ20_spl
<=> sP3_prd(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( ~ sQ20_spl
| sP3_prd(sK23_skl) ),
inference(component_clause,[status(thm)],[f470]) ).
fof(f473,definition,
( sQ21_spl
<=> sP4_prd(sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( ~ sQ21_spl
| sP4_prd(sK24_skl) ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ22_spl
<=> sP5_prd(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( ~ sQ22_spl
| sP5_prd(sK25_skl) ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,definition,
( sQ23_spl
<=> sP6_prd(sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( ~ sQ23_spl
| sP6_prd(sK26_skl) ),
inference(component_clause,[status(thm)],[f479]) ).
fof(f482,plain,
( sQ0_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f289,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f461,f464,f467,f470,f473,f476,f479,f407]) ).
fof(f483,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ23_spl
| sQ22_spl
| sQ21_spl
| sQ20_spl
| ~ sQ19_spl
| ~ sQ18_spl
| ~ sQ17_spl
| ~ sQ16_spl
| ~ sQ15_spl
| ~ sQ14_spl
| ~ sQ13_spl
| ~ sQ12_spl
| ~ sQ11_spl
| ~ sQ10_spl
| ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f290,f422,f425,f428,f431,f434,f437,f440,f443,f446,f449,f452,f455,f458,f461,f464,f467,f470,f473,f476,f479,f410,f414,f418]) ).
fof(f496,plain,
leq(pv19,pred(n410)),
inference(forward_demodulation,[status(thm)],[f225,f279]) ).
fof(f497,plain,
leq(pv20,pred(n330)),
inference(forward_demodulation,[status(thm)],[f225,f280]) ).
fof(f498,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,pred(n3))
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f225,f285]) ).
fof(f506,plain,
! [X0] :
( leq(X0,pred(n3))
| ~ sP6_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f225,f396]) ).
fof(f606,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f469,f281]) ).
fof(f607,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f606]) ).
fof(f608,plain,
( sQ18_spl
| ~ leq(pv20,pred(n330)) ),
inference(forward_demodulation,[status(thm)],[f225,f466]) ).
fof(f609,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f608,f497]) ).
fof(f610,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f609]) ).
fof(f611,plain,
( sQ17_spl
| ~ leq(pv19,pred(n410)) ),
inference(forward_demodulation,[status(thm)],[f225,f463]) ).
fof(f612,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f611,f496]) ).
fof(f613,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f612]) ).
fof(f614,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f460,f278]) ).
fof(f615,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f614]) ).
fof(f616,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f457,f277]) ).
fof(f617,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f616]) ).
fof(f618,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f454,f276]) ).
fof(f619,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f618]) ).
fof(f620,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f451,f275]) ).
fof(f621,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f620]) ).
fof(f622,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f448,f274]) ).
fof(f623,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f622]) ).
fof(f624,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f445,f273]) ).
fof(f625,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f442,f272]) ).
fof(f627,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f626]) ).
fof(f628,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f439,f271]) ).
fof(f629,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f628]) ).
fof(f630,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f270]) ).
fof(f631,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f630]) ).
fof(f632,plain,
( sQ7_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f269,f433]) ).
fof(f633,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f632]) ).
fof(f634,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f633]) ).
fof(f635,plain,
( sQ6_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f268,f430]) ).
fof(f636,plain,
( sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f635]) ).
fof(f637,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f636]) ).
fof(f638,plain,
( sQ5_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f267,f427]) ).
fof(f639,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f638]) ).
fof(f640,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f639]) ).
fof(f641,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f424]) ).
fof(f642,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f794,plain,
( ~ sQ20_spl
| a_select3(simplex7_init,sK31_skl(sK23_skl),sK23_skl) != init ),
inference(resolution,[status(thm)],[f379,f471]) ).
fof(f808,plain,
( ~ sQ21_spl
| a_select2(s_values7_init,sK24_skl) != init ),
inference(resolution,[status(thm)],[f385,f474]) ).
fof(f853,plain,
( ~ sQ21_spl
| ~ leq(sK24_skl,n3)
| ~ leq(n0,sK24_skl) ),
inference(resolution,[status(thm)],[f808,f283]) ).
fof(f854,definition,
( sQ66_spl
<=> leq(n0,sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f856,plain,
( sQ66_spl
| ~ leq(n0,sK24_skl) ),
inference(component_clause,[status(thm)],[f854]) ).
fof(f857,definition,
( sQ67_spl
<=> leq(sK24_skl,n3) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f859,plain,
( sQ67_spl
| ~ leq(sK24_skl,n3) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( ~ sQ21_spl
| ~ sQ67_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f853,f854,f857,f473]) ).
fof(f861,plain,
( ~ sQ22_spl
| a_select2(s_center7_init,sK25_skl) != init ),
inference(resolution,[status(thm)],[f391,f477]) ).
fof(f862,plain,
( ~ sQ23_spl
| a_select2(s_try7_init,sK26_skl) != init ),
inference(resolution,[status(thm)],[f397,f480]) ).
fof(f863,plain,
( ~ sQ20_spl
| ~ leq(sK31_skl(sK23_skl),n3)
| ~ leq(n0,sK31_skl(sK23_skl))
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f794,f282]) ).
fof(f864,definition,
( sQ68_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( sQ68_spl
| ~ leq(n0,sK23_skl) ),
inference(component_clause,[status(thm)],[f864]) ).
fof(f867,definition,
( sQ69_spl
<=> leq(sK23_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( sQ69_spl
| ~ leq(sK23_skl,n2) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,definition,
( sQ70_spl
<=> leq(n0,sK31_skl(sK23_skl)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f872,plain,
( sQ70_spl
| ~ leq(n0,sK31_skl(sK23_skl)) ),
inference(component_clause,[status(thm)],[f870]) ).
fof(f873,definition,
( sQ71_spl
<=> leq(sK31_skl(sK23_skl),n3) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f875,plain,
( sQ71_spl
| ~ leq(sK31_skl(sK23_skl),n3) ),
inference(component_clause,[status(thm)],[f873]) ).
fof(f876,plain,
( ~ sQ20_spl
| ~ sQ71_spl
| ~ sQ70_spl
| ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f863,f864,f867,f870,f873,f470]) ).
fof(f877,plain,
( ~ sQ22_spl
| ~ leq(sK25_skl,n2)
| ~ leq(n0,sK25_skl) ),
inference(resolution,[status(thm)],[f861,f284]) ).
fof(f878,definition,
( sQ72_spl
<=> leq(n0,sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f880,plain,
( sQ72_spl
| ~ leq(n0,sK25_skl) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,definition,
( sQ73_spl
<=> leq(sK25_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f883,plain,
( sQ73_spl
| ~ leq(sK25_skl,n2) ),
inference(component_clause,[status(thm)],[f881]) ).
fof(f884,plain,
( ~ sQ22_spl
| ~ sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f877,f878,f881,f476]) ).
fof(f885,plain,
( ~ sQ23_spl
| ~ leq(sK26_skl,pred(n3))
| ~ leq(n0,sK26_skl) ),
inference(resolution,[status(thm)],[f862,f498]) ).
fof(f886,definition,
( sQ74_spl
<=> leq(n0,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f888,plain,
( sQ74_spl
| ~ leq(n0,sK26_skl) ),
inference(component_clause,[status(thm)],[f886]) ).
fof(f889,definition,
( sQ75_spl
<=> leq(sK26_skl,pred(n3)) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f891,plain,
( sQ75_spl
| ~ leq(sK26_skl,pred(n3)) ),
inference(component_clause,[status(thm)],[f889]) ).
fof(f892,plain,
( ~ sQ23_spl
| ~ sQ75_spl
| ~ sQ74_spl ),
inference(split_clause,[status(thm)],[f885,f886,f889,f479]) ).
fof(f944,plain,
( sQ67_spl
| ~ sP4_prd(sK24_skl) ),
inference(resolution,[status(thm)],[f859,f384]) ).
fof(f949,plain,
( sQ67_spl
| ~ sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f944,f474]) ).
fof(f950,plain,
( sQ67_spl
| ~ sQ21_spl ),
inference(contradiction_clause,[status(thm)],[f949]) ).
fof(f953,plain,
( sQ66_spl
| ~ sP4_prd(sK24_skl) ),
inference(resolution,[status(thm)],[f856,f383]) ).
fof(f960,plain,
( sQ69_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f869,f376]) ).
fof(f965,plain,
( sQ69_spl
| ~ sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f960,f471]) ).
fof(f966,plain,
( sQ69_spl
| ~ sQ20_spl ),
inference(contradiction_clause,[status(thm)],[f965]) ).
fof(f967,plain,
( sQ71_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f875,f378]) ).
fof(f973,plain,
( sQ70_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f872,f377]) ).
fof(f985,plain,
( sQ68_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f866,f375]) ).
fof(f990,plain,
( sQ73_spl
| ~ sP5_prd(sK25_skl) ),
inference(resolution,[status(thm)],[f883,f390]) ).
fof(f996,plain,
( sQ73_spl
| ~ sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f990,f477]) ).
fof(f997,plain,
( sQ73_spl
| ~ sQ22_spl ),
inference(contradiction_clause,[status(thm)],[f996]) ).
fof(f999,plain,
( sQ72_spl
| ~ sP5_prd(sK25_skl) ),
inference(resolution,[status(thm)],[f880,f389]) ).
fof(f1006,plain,
( sQ75_spl
| ~ sP6_prd(sK26_skl) ),
inference(resolution,[status(thm)],[f891,f506]) ).
fof(f1012,plain,
( sQ75_spl
| ~ sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1006,f480]) ).
fof(f1013,plain,
( sQ75_spl
| ~ sQ23_spl ),
inference(contradiction_clause,[status(thm)],[f1012]) ).
fof(f1014,plain,
( sQ66_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f953,f473,f854]) ).
fof(f1015,plain,
( sQ68_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f985,f470,f864]) ).
fof(f1016,plain,
( sQ70_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f973,f470,f870]) ).
fof(f1017,plain,
( sQ71_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f967,f470,f873]) ).
fof(f1018,plain,
( sQ72_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f999,f476,f878]) ).
fof(f1020,plain,
( sQ74_spl
| ~ sP6_prd(sK26_skl) ),
inference(resolution,[status(thm)],[f888,f395]) ).
fof(f1028,plain,
( sQ74_spl
| ~ sQ23_spl ),
inference(split_clause,[status(thm)],[f1020,f479,f886]) ).
fof(f1029,plain,
$false,
inference(sat_refutation,[status(thm)],[f413,f417,f421,f482,f483,f607,f610,f613,f615,f617,f619,f621,f623,f625,f627,f629,f631,f634,f637,f640,f642,f860,f876,f884,f892,f950,f966,f997,f1013,f1014,f1015,f1016,f1017,f1018,f1028]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV027+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.44 % Computer : n002.cluster.edu
% 0.14/0.44 % Model : x86_64 x86_64
% 0.14/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.44 % Memory : 8046.5625MB
% 0.14/0.44 % OS : Linux 6.8.0-71-generic
% 0.14/0.44 % CPULimit : 300
% 0.14/0.44 % WCLimit : 300
% 0.14/0.44 % DateTime : Mon Sep 21 08:30:32 UTC 2026
% 0.14/0.44 % CPUTime :
% 0.14/0.47 % Drodi V4.1.1
% 0.27/0.99 % Refutation found
% 0.27/0.99 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.27/0.99 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.27/1.02 % Elapsed time: 0.558085 seconds
% 0.27/1.02 % CPU time: 3.365978 seconds
% 0.27/1.02 % Total memory used: 132.878 MB
% 0.27/1.02 % Net memory used: 129.427 MB
%------------------------------------------------------------------------------