%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV034+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 : n026.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 02:46:29 PM UTC 2026
% Result : Theorem 0.98s 0.61s
% Output : CNFRefutation 0.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 36
% Syntax : Number of formulae : 183 ( 27 unt; 34 def)
% Number of atoms : 767 ( 165 equ)
% Maximal formula atoms : 59 ( 4 avg)
% Number of connectives : 894 ( 310 ~; 324 |; 200 &)
% ( 34 <=>; 26 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 38 ( 36 usr; 31 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 25 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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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 )
=> ( ( 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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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 )
=> ( ( 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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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(f217,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f251,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(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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 ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,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(f253,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(f254,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(f255,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(f256,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(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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 ),
inference(formula_renaming,[status(thm)],[f251,f255,f254,f253,f252]) ).
fof(f257,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(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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(pv19,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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 ),
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)],[f256]) ).
fof(f258,plain,
s_best7_init = init,
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f259,plain,
s_sworst7_init = init,
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f260,plain,
s_worst7_init = init,
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f261,plain,
leq(n0,s_best7),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f262,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f263,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f264,plain,
leq(n0,pv19),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f265,plain,
leq(s_best7,n3),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f266,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f267,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f268,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f269,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)],[f257]) ).
fof(f270,plain,
! [X0] :
( a_select2(s_values7_init,X0) = init
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f271,plain,
! [X0] :
( a_select2(s_center7_init,X0) = init
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f272,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f273,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f274,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f275,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f257]) ).
fof(f276,plain,
( gt(loopcounter,n1)
| sP6_prd(sK26_skl)
| sP5_prd(sK25_skl)
| sP4_prd(sK24_skl)
| sP3_prd(sK23_skl)
| ~ leq(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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)],[f257]) ).
fof(f277,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(pv19,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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)],[f257]) ).
fof(f351,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)],[f252]) ).
fof(f352,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)],[f351]) ).
fof(f353,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))],[f352]) ).
fof(f354,plain,
! [X0] :
( leq(n0,X0)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f355,plain,
! [X0] :
( leq(X0,n2)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f356,plain,
! [X0] :
( leq(n0,sK31_skl(X0))
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f357,plain,
! [X0] :
( leq(sK31_skl(X0),n3)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f358,plain,
! [X0] :
( a_select3(simplex7_init,sK31_skl(X0),X0) != init
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f353]) ).
fof(f360,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)],[f253]) ).
fof(f361,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)],[f360]) ).
fof(f362,plain,
! [X0] :
( leq(n0,X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f361]) ).
fof(f363,plain,
! [X0] :
( leq(X0,n3)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f361]) ).
fof(f364,plain,
! [X0] :
( a_select2(s_values7_init,X0) != init
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f361]) ).
fof(f366,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)],[f254]) ).
fof(f367,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)],[f366]) ).
fof(f368,plain,
! [X0] :
( leq(n0,X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f367]) ).
fof(f369,plain,
! [X0] :
( leq(X0,n2)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f367]) ).
fof(f370,plain,
! [X0] :
( a_select2(s_center7_init,X0) != init
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f367]) ).
fof(f372,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)],[f255]) ).
fof(f373,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)],[f372]) ).
fof(f374,plain,
! [X0] :
( leq(n0,X0)
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f375,plain,
! [X0] :
( leq(X0,minus(n3,n1))
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f376,plain,
! [X0] :
( a_select2(s_try7_init,X0) != init
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f373]) ).
fof(f386,definition,
( sQ0_spl
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f389,definition,
( sQ1_spl
<=> pvar1400_init = init ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f273,f386,f389]) ).
fof(f393,definition,
( sQ2_spl
<=> pvar1401_init = init ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f274,f386,f393]) ).
fof(f397,definition,
( sQ3_spl
<=> pvar1402_init = init ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f400,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f275,f386,f397]) ).
fof(f401,definition,
( sQ4_spl
<=> init = init ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( sQ4_spl
| init != init ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,definition,
( sQ5_spl
<=> s_best7_init = init ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f406,plain,
( sQ5_spl
| s_best7_init != init ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,definition,
( sQ6_spl
<=> s_sworst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( sQ6_spl
| s_sworst7_init != init ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,definition,
( sQ7_spl
<=> s_worst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f412,plain,
( sQ7_spl
| s_worst7_init != init ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,definition,
( sQ8_spl
<=> leq(n0,s_best7) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( sQ8_spl
| ~ leq(n0,s_best7) ),
inference(component_clause,[status(thm)],[f413]) ).
fof(f416,definition,
( sQ9_spl
<=> leq(n0,s_sworst7) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f418,plain,
( sQ9_spl
| ~ leq(n0,s_sworst7) ),
inference(component_clause,[status(thm)],[f416]) ).
fof(f419,definition,
( sQ10_spl
<=> leq(n0,s_worst7) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( sQ10_spl
| ~ leq(n0,s_worst7) ),
inference(component_clause,[status(thm)],[f419]) ).
fof(f422,definition,
( sQ11_spl
<=> leq(n0,pv19) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f424,plain,
( sQ11_spl
| ~ leq(n0,pv19) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,definition,
( sQ12_spl
<=> leq(s_best7,n3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f427,plain,
( sQ12_spl
| ~ leq(s_best7,n3) ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,definition,
( sQ13_spl
<=> leq(s_sworst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f430,plain,
( sQ13_spl
| ~ leq(s_sworst7,n3) ),
inference(component_clause,[status(thm)],[f428]) ).
fof(f431,definition,
( sQ14_spl
<=> leq(s_worst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f433,plain,
( sQ14_spl
| ~ leq(s_worst7,n3) ),
inference(component_clause,[status(thm)],[f431]) ).
fof(f434,definition,
( sQ15_spl
<=> leq(pv19,minus(n410,n1)) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f436,plain,
( sQ15_spl
| ~ leq(pv19,minus(n410,n1)) ),
inference(component_clause,[status(thm)],[f434]) ).
fof(f437,definition,
( sQ16_spl
<=> sP3_prd(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( ~ sQ16_spl
| sP3_prd(sK23_skl) ),
inference(component_clause,[status(thm)],[f437]) ).
fof(f440,definition,
( sQ17_spl
<=> sP4_prd(sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ17_spl
| sP4_prd(sK24_skl) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ18_spl
<=> sP5_prd(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ18_spl
| sP5_prd(sK25_skl) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ19_spl
<=> sP6_prd(sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ19_spl
| sP6_prd(sK26_skl) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( sQ0_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)],[f276,f401,f404,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f386]) ).
fof(f450,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_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)],[f277,f401,f404,f407,f410,f413,f416,f419,f422,f425,f428,f431,f434,f437,f440,f443,f446,f389,f393,f397]) ).
fof(f463,plain,
leq(pv19,pred(n410)),
inference(forward_demodulation,[status(thm)],[f217,f268]) ).
fof(f464,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,pred(n3))
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f217,f272]) ).
fof(f472,plain,
! [X0] :
( leq(X0,pred(n3))
| ~ sP6_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f217,f375]) ).
fof(f572,plain,
( sQ15_spl
| ~ leq(pv19,pred(n410)) ),
inference(forward_demodulation,[status(thm)],[f217,f436]) ).
fof(f573,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f572,f463]) ).
fof(f574,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f433,f267]) ).
fof(f576,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f430,f266]) ).
fof(f578,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f427,f265]) ).
fof(f580,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f579]) ).
fof(f581,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f424,f264]) ).
fof(f582,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f421,f263]) ).
fof(f584,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f585,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f418,f262]) ).
fof(f586,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f415,f261]) ).
fof(f588,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( sQ7_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f260,f412]) ).
fof(f590,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f589]) ).
fof(f591,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f590]) ).
fof(f592,plain,
( sQ6_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f259,f409]) ).
fof(f593,plain,
( sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f592]) ).
fof(f594,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f593]) ).
fof(f595,plain,
( sQ5_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f258,f406]) ).
fof(f596,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f595]) ).
fof(f597,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f596]) ).
fof(f598,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f403]) ).
fof(f599,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f750,plain,
( ~ sQ16_spl
| a_select3(simplex7_init,sK31_skl(sK23_skl),sK23_skl) != init ),
inference(resolution,[status(thm)],[f358,f438]) ).
fof(f751,plain,
( ~ sQ17_spl
| a_select2(s_values7_init,sK24_skl) != init ),
inference(resolution,[status(thm)],[f364,f441]) ).
fof(f765,plain,
( ~ sQ18_spl
| a_select2(s_center7_init,sK25_skl) != init ),
inference(resolution,[status(thm)],[f370,f444]) ).
fof(f773,plain,
( ~ sQ17_spl
| ~ leq(sK24_skl,n3)
| ~ leq(n0,sK24_skl) ),
inference(resolution,[status(thm)],[f751,f270]) ).
fof(f774,definition,
( sQ59_spl
<=> leq(n0,sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( sQ59_spl
| ~ leq(n0,sK24_skl) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f777,definition,
( sQ60_spl
<=> leq(sK24_skl,n3) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f779,plain,
( sQ60_spl
| ~ leq(sK24_skl,n3) ),
inference(component_clause,[status(thm)],[f777]) ).
fof(f780,plain,
( ~ sQ17_spl
| ~ sQ60_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f773,f774,f777,f440]) ).
fof(f781,plain,
( sQ60_spl
| ~ sP4_prd(sK24_skl) ),
inference(resolution,[status(thm)],[f779,f363]) ).
fof(f786,plain,
( sQ60_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f781,f441]) ).
fof(f787,plain,
( sQ60_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f786]) ).
fof(f790,plain,
( sQ59_spl
| ~ sP4_prd(sK24_skl) ),
inference(resolution,[status(thm)],[f776,f362]) ).
fof(f796,plain,
( ~ sQ19_spl
| a_select2(s_try7_init,sK26_skl) != init ),
inference(resolution,[status(thm)],[f376,f447]) ).
fof(f821,plain,
( ~ sQ16_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)],[f750,f269]) ).
fof(f822,definition,
( sQ62_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f824,plain,
( sQ62_spl
| ~ leq(n0,sK23_skl) ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,definition,
( sQ63_spl
<=> leq(sK23_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( sQ63_spl
| ~ leq(sK23_skl,n2) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,definition,
( sQ64_spl
<=> leq(n0,sK31_skl(sK23_skl)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( sQ64_spl
| ~ leq(n0,sK31_skl(sK23_skl)) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,definition,
( sQ65_spl
<=> leq(sK31_skl(sK23_skl),n3) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( sQ65_spl
| ~ leq(sK31_skl(sK23_skl),n3) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,plain,
( ~ sQ16_spl
| ~ sQ65_spl
| ~ sQ64_spl
| ~ sQ63_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f821,f822,f825,f828,f831,f437]) ).
fof(f835,plain,
( ~ sQ18_spl
| ~ leq(sK25_skl,n2)
| ~ leq(n0,sK25_skl) ),
inference(resolution,[status(thm)],[f765,f271]) ).
fof(f836,definition,
( sQ66_spl
<=> leq(n0,sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f838,plain,
( sQ66_spl
| ~ leq(n0,sK25_skl) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,definition,
( sQ67_spl
<=> leq(sK25_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f841,plain,
( sQ67_spl
| ~ leq(sK25_skl,n2) ),
inference(component_clause,[status(thm)],[f839]) ).
fof(f842,plain,
( ~ sQ18_spl
| ~ sQ67_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f835,f836,f839,f443]) ).
fof(f843,plain,
( ~ sQ19_spl
| ~ leq(sK26_skl,pred(n3))
| ~ leq(n0,sK26_skl) ),
inference(resolution,[status(thm)],[f796,f464]) ).
fof(f844,definition,
( sQ68_spl
<=> leq(n0,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f846,plain,
( sQ68_spl
| ~ leq(n0,sK26_skl) ),
inference(component_clause,[status(thm)],[f844]) ).
fof(f847,definition,
( sQ69_spl
<=> leq(sK26_skl,pred(n3)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( sQ69_spl
| ~ leq(sK26_skl,pred(n3)) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f850,plain,
( ~ sQ19_spl
| ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f843,f844,f847,f446]) ).
fof(f923,plain,
( sQ63_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f827,f355]) ).
fof(f928,plain,
( sQ63_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f923,f438]) ).
fof(f929,plain,
( sQ63_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f928]) ).
fof(f933,plain,
( sQ62_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f824,f354]) ).
fof(f973,plain,
( sQ65_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f833,f357]) ).
fof(f979,plain,
( sQ64_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f830,f356]) ).
fof(f988,plain,
( sQ67_spl
| ~ sP5_prd(sK25_skl) ),
inference(resolution,[status(thm)],[f841,f369]) ).
fof(f994,plain,
( sQ67_spl
| ~ sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f988,f444]) ).
fof(f995,plain,
( sQ67_spl
| ~ sQ18_spl ),
inference(contradiction_clause,[status(thm)],[f994]) ).
fof(f997,plain,
( sQ66_spl
| ~ sP5_prd(sK25_skl) ),
inference(resolution,[status(thm)],[f838,f368]) ).
fof(f1004,plain,
( sQ69_spl
| ~ sP6_prd(sK26_skl) ),
inference(resolution,[status(thm)],[f849,f472]) ).
fof(f1010,plain,
( sQ69_spl
| ~ sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1004,f447]) ).
fof(f1011,plain,
( sQ69_spl
| ~ sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f1010]) ).
fof(f1012,plain,
( sQ59_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f790,f440,f774]) ).
fof(f1013,plain,
( sQ64_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f979,f437,f828]) ).
fof(f1014,plain,
( sQ65_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f973,f437,f831]) ).
fof(f1015,plain,
( sQ62_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f933,f437,f822]) ).
fof(f1016,plain,
( sQ66_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f997,f443,f836]) ).
fof(f1022,plain,
( sQ68_spl
| ~ sP6_prd(sK26_skl) ),
inference(resolution,[status(thm)],[f846,f374]) ).
fof(f1030,plain,
( sQ68_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f1022,f446,f844]) ).
fof(f1031,plain,
$false,
inference(sat_refutation,[status(thm)],[f392,f396,f400,f449,f450,f574,f576,f578,f580,f582,f584,f586,f588,f591,f594,f597,f599,f780,f787,f834,f842,f850,f929,f995,f1011,f1012,f1013,f1014,f1015,f1016,f1030]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV034+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n026.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 08:31:06 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.98/0.61 % Refutation found
% 0.98/0.61 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.98/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.98/0.64 % Elapsed time: 0.253429 seconds
% 0.98/0.64 % CPU time: 1.577583 seconds
% 0.98/0.64 % Total memory used: 126.098 MB
% 0.98/0.64 % Net memory used: 124.122 MB
%------------------------------------------------------------------------------