%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV024+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 : n010.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 154.53s 30.26s
% Output : CNFRefutation 26.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 47
% Syntax : Number of formulae : 228 ( 67 unt; 36 def)
% Number of atoms : 916 ( 206 equ)
% Maximal formula atoms : 73 ( 4 avg)
% Number of connectives : 1052 ( 364 ~; 376 |; 249 &)
% ( 36 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 51 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 40 ( 38 usr; 33 prp; 0-2 aty)
% Number of functors : 35 ( 35 usr; 29 con; 0-3 aty)
% Number of variables : 118 ( 106 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] : pred(succ(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ( 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& a_select2(s_try7_init,n2) = init
& a_select2(s_try7_init,n1) = init
& a_select2(s_try7_init,n0) = init
& 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv7)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& a_select2(s_try7_init,n2) = init
& a_select2(s_try7_init,n1) = init
& a_select2(s_try7_init,n0) = init
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init
& init = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f73,axiom,
gt(n1,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f74,axiom,
gt(n2,n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f80,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f99,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f100,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f101,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f119,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f120,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f225,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f226,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f40]) ).
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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| a_select2(s_try7_init,n2) != init
| a_select2(s_try7_init,n1) != init
| a_select2(s_try7_init,n0) != init
| 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| a_select2(s_try7_init,n2) != init
| a_select2(s_try7_init,n1) != init
| a_select2(s_try7_init,n0) != init
| 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| a_select2(s_try7_init,n2) != init
| a_select2(s_try7_init,n1) != init
| a_select2(s_try7_init,n0) != init
| 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(pv20,minus(n330,n1))
& leq(pv19,minus(n410,n1))
& leq(pv8,minus(n330,n1))
& leq(pv7,minus(n410,n1))
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv20)
& leq(n0,pv19)
& leq(n0,pv8)
& leq(n0,pv7)
& 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,pv7),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f275,plain,
leq(n0,pv19),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f276,plain,
leq(n0,pv20),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f277,plain,
leq(s_best7,n3),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f278,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f279,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f280,plain,
leq(pv7,minus(n410,n1)),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f282,plain,
leq(pv19,minus(n410,n1)),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f283,plain,
leq(pv20,minus(n330,n1)),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f284,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(f285,plain,
! [X0] :
( a_select2(s_values7_init,X0) = init
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f286,plain,
! [X0] :
( a_select2(s_center7_init,X0) = init
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f287,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f288,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f289,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f290,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f291,plain,
( gt(loopcounter,n1)
| sP6_prd(sK26_skl)
| sP5_prd(sK25_skl)
| sP4_prd(sK24_skl)
| sP3_prd(sK23_skl)
| ~ leq(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| a_select2(s_try7_init,n2) != init
| a_select2(s_try7_init,n1) != init
| a_select2(s_try7_init,n0) != init
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f292,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(pv20,minus(n330,n1))
| ~ leq(pv19,minus(n410,n1))
| ~ leq(pv7,minus(n410,n1))
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ leq(n0,pv20)
| ~ leq(n0,pv19)
| ~ leq(n0,pv7)
| ~ leq(n0,s_worst7)
| ~ leq(n0,s_sworst7)
| ~ leq(n0,s_best7)
| a_select2(s_try7_init,n2) != init
| a_select2(s_try7_init,n1) != init
| a_select2(s_try7_init,n0) != init
| s_worst7_init != init
| s_sworst7_init != init
| s_best7_init != init
| init != init ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f311,plain,
gt(n1,n0),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f312,plain,
gt(n2,n0),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f318,plain,
gt(n2,n1),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f343,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f344,plain,
succ(succ(n0)) = n2,
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f345,plain,
succ(succ(succ(n0))) = n3,
inference(cnf_transformation,[status(thm)],[f101]) ).
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) )
& ( ( ? [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(f375,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)],[f374]) ).
fof(f376,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))],[f375]) ).
fof(f377,plain,
! [X0] :
( leq(n0,X0)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f378,plain,
! [X0] :
( leq(X0,n2)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f379,plain,
! [X0] :
( leq(n0,sK31_skl(X0))
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f380,plain,
! [X0] :
( leq(sK31_skl(X0),n3)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f381,plain,
! [X0] :
( a_select3(simplex7_init,sK31_skl(X0),X0) != init
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f383,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(f384,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)],[f383]) ).
fof(f385,plain,
! [X0] :
( leq(n0,X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f386,plain,
! [X0] :
( leq(X0,n3)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f387,plain,
! [X0] :
( a_select2(s_values7_init,X0) != init
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f384]) ).
fof(f389,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(f390,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)],[f389]) ).
fof(f391,plain,
! [X0] :
( leq(n0,X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f392,plain,
! [X0] :
( leq(X0,n2)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f393,plain,
! [X0] :
( a_select2(s_center7_init,X0) != init
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f395,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(f396,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)],[f395]) ).
fof(f397,plain,
! [X0] :
( leq(n0,X0)
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f398,plain,
! [X0] :
( leq(X0,minus(n3,n1))
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f399,plain,
! [X0] :
( a_select2(s_try7_init,X0) != init
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f396]) ).
fof(f409,definition,
( sQ0_spl
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f412,definition,
( sQ1_spl
<=> pvar1400_init = init ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f415,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f288,f409,f412]) ).
fof(f416,definition,
( sQ2_spl
<=> pvar1401_init = init ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f289,f409,f416]) ).
fof(f420,definition,
( sQ3_spl
<=> pvar1402_init = init ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f290,f409,f420]) ).
fof(f424,definition,
( sQ4_spl
<=> init = init ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( sQ4_spl
| init != init ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ5_spl
<=> s_best7_init = init ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( sQ5_spl
| s_best7_init != init ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ6_spl
<=> s_sworst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( sQ6_spl
| s_sworst7_init != init ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ7_spl
<=> s_worst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( sQ7_spl
| s_worst7_init != init ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ8_spl
<=> a_select2(s_try7_init,n0) = init ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ8_spl
| a_select2(s_try7_init,n0) != init ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ9_spl
<=> a_select2(s_try7_init,n1) = init ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( sQ9_spl
| a_select2(s_try7_init,n1) != init ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ10_spl
<=> a_select2(s_try7_init,n2) = init ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( sQ10_spl
| a_select2(s_try7_init,n2) != init ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ11_spl
<=> leq(n0,s_best7) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( sQ11_spl
| ~ leq(n0,s_best7) ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ12_spl
<=> leq(n0,s_sworst7) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( sQ12_spl
| ~ leq(n0,s_sworst7) ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ13_spl
<=> leq(n0,s_worst7) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ13_spl
| ~ leq(n0,s_worst7) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ14_spl
<=> leq(n0,pv7) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( sQ14_spl
| ~ leq(n0,pv7) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ15_spl
<=> leq(n0,pv19) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ15_spl
| ~ leq(n0,pv19) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ16_spl
<=> leq(n0,pv20) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ16_spl
| ~ leq(n0,pv20) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ17_spl
<=> leq(s_best7,n3) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( sQ17_spl
| ~ leq(s_best7,n3) ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ18_spl
<=> leq(s_sworst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( sQ18_spl
| ~ leq(s_sworst7,n3) ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ19_spl
<=> leq(s_worst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ19_spl
| ~ leq(s_worst7,n3) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ20_spl
<=> leq(pv7,minus(n410,n1)) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ20_spl
| ~ leq(pv7,minus(n410,n1)) ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,definition,
( sQ21_spl
<=> leq(pv19,minus(n410,n1)) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( sQ21_spl
| ~ leq(pv19,minus(n410,n1)) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ22_spl
<=> leq(pv20,minus(n330,n1)) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( sQ22_spl
| ~ leq(pv20,minus(n330,n1)) ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ23_spl
<=> sP3_prd(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f482,plain,
( ~ sQ23_spl
| sP3_prd(sK23_skl) ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ24_spl
<=> sP4_prd(sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f485,plain,
( ~ sQ24_spl
| sP4_prd(sK24_skl) ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ25_spl
<=> sP5_prd(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f488,plain,
( ~ sQ25_spl
| sP5_prd(sK25_skl) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ26_spl
<=> sP6_prd(sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f491,plain,
( ~ sQ26_spl
| sP6_prd(sK26_skl) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,plain,
( sQ0_spl
| sQ26_spl
| sQ25_spl
| sQ24_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)],[f291,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f484,f487,f490,f409]) ).
fof(f494,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| sQ26_spl
| sQ25_spl
| sQ24_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)],[f292,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f484,f487,f490,f412,f416,f420]) ).
fof(f997,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f272]) ).
fof(f998,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f997]) ).
fof(f1182,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f450,f271]) ).
fof(f1183,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f1182]) ).
fof(f1215,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f447,f270]) ).
fof(f1216,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f1215]) ).
fof(f1283,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f474,f280]) ).
fof(f1284,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f1283]) ).
fof(f1285,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f471,f279]) ).
fof(f1286,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f1285]) ).
fof(f1287,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f468,f278]) ).
fof(f1288,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f1287]) ).
fof(f1289,plain,
( sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f465,f277]) ).
fof(f1290,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f1289]) ).
fof(f1291,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f462,f276]) ).
fof(f1292,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f1291]) ).
fof(f1293,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f275]) ).
fof(f1294,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f1293]) ).
fof(f1295,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f456,f273]) ).
fof(f1296,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f1295]) ).
fof(f1297,plain,
( sQ7_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f269,f435]) ).
fof(f1298,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1297]) ).
fof(f1299,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f1298]) ).
fof(f1300,plain,
( sQ6_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f268,f432]) ).
fof(f1301,plain,
( sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1300]) ).
fof(f1302,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f1301]) ).
fof(f1303,plain,
( sQ5_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f267,f429]) ).
fof(f1304,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f1303]) ).
fof(f1305,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f1304]) ).
fof(f1306,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f426]) ).
fof(f1307,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f1306]) ).
fof(f1342,plain,
( sQ22_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f480,f283]) ).
fof(f1343,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f1342]) ).
fof(f1344,plain,
( sQ21_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f282]) ).
fof(f1345,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f1344]) ).
fof(f1458,plain,
! [X0] :
( ~ sP4_prd(X0)
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f285,f387]) ).
fof(f1459,plain,
! [X0] :
( ~ sP4_prd(X0)
| ~ leq(X0,n3) ),
inference(forward_subsumption_resolution,[status(thm)],[f1458,f385]) ).
fof(f1460,plain,
! [X0] :
( ~ sP5_prd(X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f286,f393]) ).
fof(f1461,plain,
! [X0] :
( ~ sP5_prd(X0)
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[f1460,f391]) ).
fof(f1462,plain,
( ~ sQ24_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f485,f1463]) ).
fof(f1463,plain,
! [X0] : ~ sP4_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f1459,f386]) ).
fof(f1464,plain,
~ sQ24_spl,
inference(contradiction_clause,[status(thm)],[f1462]) ).
fof(f1465,plain,
( ~ sQ25_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f488,f1466]) ).
fof(f1466,plain,
! [X0] : ~ sP5_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f1461,f392]) ).
fof(f1467,plain,
~ sQ25_spl,
inference(contradiction_clause,[status(thm)],[f1465]) ).
fof(f1589,definition,
( sQ142_spl
<=> leq(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1591,plain,
( sQ142_spl
| ~ leq(n0,n0) ),
inference(component_clause,[status(thm)],[f1589]) ).
fof(f1604,plain,
( sQ142_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1591,f107]) ).
fof(f1605,plain,
sQ142_spl,
inference(contradiction_clause,[status(thm)],[f1604]) ).
fof(f1863,definition,
( sQ183_spl
<=> leq(n0,n1) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1865,plain,
( sQ183_spl
| ~ leq(n0,n1) ),
inference(component_clause,[status(thm)],[f1863]) ).
fof(f1897,plain,
( sQ183_spl
| ~ gt(n1,n0) ),
inference(resolution,[status(thm)],[f1865,f120]) ).
fof(f1899,plain,
( sQ183_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1897,f311]) ).
fof(f1900,plain,
sQ183_spl,
inference(contradiction_clause,[status(thm)],[f1899]) ).
fof(f1955,plain,
! [X0] :
( ~ leq(sK31_skl(X0),n3)
| ~ leq(n0,sK31_skl(X0))
| ~ leq(X0,n2)
| ~ leq(n0,X0)
| ~ sP3_prd(X0) ),
inference(resolution,[status(thm)],[f381,f284]) ).
fof(f1956,plain,
! [X0] :
( ~ leq(sK31_skl(X0),n3)
| ~ leq(n0,sK31_skl(X0))
| ~ leq(X0,n2)
| ~ sP3_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1955,f377]) ).
fof(f2076,definition,
( sQ201_spl
<=> leq(n2,n2) ),
introduced(definition,[new_symbols(definition,[sQ201_spl])],[split_symbol_definition]) ).
fof(f2078,plain,
( sQ201_spl
| ~ leq(n2,n2) ),
inference(component_clause,[status(thm)],[f2076]) ).
fof(f2083,definition,
( sQ203_spl
<=> leq(n0,n2) ),
introduced(definition,[new_symbols(definition,[sQ203_spl])],[split_symbol_definition]) ).
fof(f2085,plain,
( sQ203_spl
| ~ leq(n0,n2) ),
inference(component_clause,[status(thm)],[f2083]) ).
fof(f2087,plain,
( sQ201_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2078,f107]) ).
fof(f2088,plain,
sQ201_spl,
inference(contradiction_clause,[status(thm)],[f2087]) ).
fof(f2207,definition,
( sQ219_spl
<=> leq(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ219_spl])],[split_symbol_definition]) ).
fof(f2209,plain,
( sQ219_spl
| ~ leq(n1,n2) ),
inference(component_clause,[status(thm)],[f2207]) ).
fof(f2306,plain,
( sQ203_spl
| ~ gt(n2,n0) ),
inference(resolution,[status(thm)],[f2085,f120]) ).
fof(f2308,plain,
( sQ203_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2306,f312]) ).
fof(f2309,plain,
sQ203_spl,
inference(contradiction_clause,[status(thm)],[f2308]) ).
fof(f2337,plain,
succ(n1) = n2,
inference(forward_demodulation,[status(thm)],[f343,f344]) ).
fof(f2378,plain,
( sQ219_spl
| ~ gt(n2,n1) ),
inference(resolution,[status(thm)],[f2209,f120]) ).
fof(f2380,plain,
( sQ219_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f2378,f318]) ).
fof(f2381,plain,
sQ219_spl,
inference(contradiction_clause,[status(thm)],[f2380]) ).
fof(f2524,plain,
succ(succ(n1)) = n3,
inference(forward_demodulation,[status(thm)],[f343,f345]) ).
fof(f2526,plain,
succ(n2) = n3,
inference(forward_demodulation,[status(thm)],[f2337,f2524]) ).
fof(f2538,plain,
pred(n3) = n2,
inference(paramodulation,[status(thm)],[f2526,f226]) ).
fof(f5726,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,pred(n3))
| ~ leq(n0,X0) ),
inference(backward_demodulation,[status(thm)],[f225,f287]) ).
fof(f5727,plain,
! [X0] :
( leq(X0,pred(n3))
| ~ sP6_prd(X0) ),
inference(backward_demodulation,[status(thm)],[f225,f398]) ).
fof(f5733,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f2538,f5726]) ).
fof(f5734,plain,
! [X0] :
( leq(X0,n2)
| ~ sP6_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f2538,f5727]) ).
fof(f5775,plain,
( sQ9_spl
| ~ leq(n1,n2)
| ~ leq(n0,n1) ),
inference(resolution,[status(thm)],[f5733,f441]) ).
fof(f5776,plain,
( sQ10_spl
| ~ leq(n2,n2)
| ~ leq(n0,n2) ),
inference(resolution,[status(thm)],[f5733,f444]) ).
fof(f5777,plain,
! [X0] :
( ~ sP6_prd(X0)
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(resolution,[status(thm)],[f5733,f399]) ).
fof(f5778,plain,
( sQ9_spl
| ~ sQ219_spl
| ~ sQ183_spl ),
inference(split_clause,[status(thm)],[f5775,f1863,f2207,f439]) ).
fof(f5779,plain,
( sQ10_spl
| ~ sQ201_spl
| ~ sQ203_spl ),
inference(split_clause,[status(thm)],[f5776,f2083,f2076,f442]) ).
fof(f5780,plain,
! [X0] :
( ~ sP6_prd(X0)
| ~ leq(X0,n2) ),
inference(forward_subsumption_resolution,[status(thm)],[f5777,f397]) ).
fof(f6311,plain,
( ~ sQ26_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f491,f6312]) ).
fof(f6312,plain,
! [X0] : ~ sP6_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f5780,f5734]) ).
fof(f6313,plain,
~ sQ26_spl,
inference(contradiction_clause,[status(thm)],[f6311]) ).
fof(f15649,plain,
( sQ8_spl
| ~ leq(n0,n2)
| ~ leq(n0,n0) ),
inference(resolution,[status(thm)],[f438,f5733]) ).
fof(f15650,plain,
( sQ8_spl
| ~ sQ203_spl
| ~ sQ142_spl ),
inference(split_clause,[status(thm)],[f15649,f1589,f2083,f436]) ).
fof(f23940,plain,
! [X0] :
( ~ leq(sK31_skl(X0),n3)
| ~ leq(n0,sK31_skl(X0))
| ~ sP3_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1956,f378]) ).
fof(f23941,plain,
! [X0] :
( ~ sP3_prd(X0)
| ~ leq(n0,sK31_skl(X0))
| ~ sP3_prd(X0) ),
inference(resolution,[status(thm)],[f23940,f380]) ).
fof(f23947,plain,
! [X0] :
( ~ leq(n0,sK31_skl(X0))
| ~ sP3_prd(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f23941]) ).
fof(f23948,plain,
! [X0] : ~ sP3_prd(X0),
inference(forward_subsumption_resolution,[status(thm)],[f23947,f379]) ).
fof(f23954,plain,
( ~ sQ23_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f482,f23948]) ).
fof(f23955,plain,
~ sQ23_spl,
inference(contradiction_clause,[status(thm)],[f23954]) ).
fof(f23956,plain,
$false,
inference(sat_refutation,[status(thm)],[f415,f419,f423,f493,f494,f998,f1183,f1216,f1284,f1286,f1288,f1290,f1292,f1294,f1296,f1299,f1302,f1305,f1307,f1343,f1345,f1464,f1467,f1605,f1900,f2088,f2309,f2381,f5778,f5779,f6313,f15650,f23955]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWV024+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.07 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/10.63 % Computer : n010.cluster.edu
% 0.14/10.63 % Model : x86_64 x86_64
% 0.14/10.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/10.63 % Memory : 8046.5625MB
% 0.14/10.63 % OS : Linux 6.8.0-71-generic
% 0.14/10.63 % CPULimit : 300
% 0.14/10.63 % WCLimit : 300
% 0.14/10.63 % DateTime : Mon Sep 21 08:28:36 UTC 2026
% 0.14/10.64 % CPUTime :
% 0.14/10.66 % Drodi V4.1.1
% 154.53/30.26 % Refutation found
% 154.53/30.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 154.53/30.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 26.84/30.34 % Elapsed time: 19.688240 seconds
% 26.84/30.34 % CPU time: 155.215377 seconds
% 26.84/30.34 % Total memory used: 428.585 MB
% 26.84/30.34 % Net memory used: 361.908 MB
%------------------------------------------------------------------------------