%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV038+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 : n006.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 02:46:30 PM UTC 2026
% Result : Theorem 0.12s 0.44s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 46
% Syntax : Number of formulae : 208 ( 27 unt; 39 def)
% Number of atoms : 879 ( 216 equ)
% Maximal formula atoms : 59 ( 4 avg)
% Number of connectives : 1036 ( 365 ~; 371 |; 228 &)
% ( 40 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 37 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 24 con; 0-3 aty)
% Number of variables : 121 ( 100 !; 21 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( X = Y
| gt(Y,X)
| gt(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : ~ gt(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(f9,axiom,
! [X,Y] :
( ( X != Y
& leq(X,Y) )
=> gt(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,axiom,
true,
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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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 ) )
& 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,s_worst7)
& leq(n0,s_sworst7)
& leq(n0,s_best7)
& s_worst7_init = init
& s_sworst7_init = init
& s_best7_init = init )
=> ( ( n0 = pv1413
=> true )
& ( n0 != pv1413
=> ( ( 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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 ) )
& init = init ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f87,plain,
! [X0,X1] :
( X0 = X1
| gt(X1,X0)
| gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f91,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f104,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f105,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f106,plain,
! [X,Y] :
( gt(Y,X)
| X = Y
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f107,plain,
! [X0,X1] :
( gt(X1,X0)
| X0 = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f210,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f242,plain,
true,
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f244,plain,
( ( ( ~ true
& n0 = pv1413 )
| ( ( ( ( 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(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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 )
& n0 != pv1413 )
| 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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(f245,definition,
( sP3_prd
<=> ( ( ( ( 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(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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 )
& n0 != pv1413 ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f246,plain,
( ( ( ~ true
& n0 = pv1413 )
| sP3_prd
| 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(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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)],[f244,f245]) ).
fof(f247,plain,
s_best7_init = init,
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f248,plain,
s_sworst7_init = init,
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f249,plain,
s_worst7_init = init,
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f250,plain,
leq(n0,s_best7),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f251,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f252,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f253,plain,
leq(s_best7,n3),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f254,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f255,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f256,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)],[f246]) ).
fof(f257,plain,
! [X0] :
( a_select2(s_values7_init,X0) = init
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f258,plain,
! [X0] :
( a_select2(s_center7_init,X0) = init
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f259,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f260,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f261,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f262,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f264,plain,
( ~ true
| sP3_prd
| init != init ),
inference(cnf_transformation,[status(thm)],[f246]) ).
fof(f331,definition,
! [F] :
( sP5_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,[sP5_prd])],[]) ).
fof(f332,definition,
! [H] :
( sP6_prd(H)
<=> ( a_select2(s_values7_init,H) != init
& leq(H,n3)
& leq(n0,H) ) ),
introduced(definition,[new_symbols(definition,[sP6_prd])],[]) ).
fof(f333,definition,
! [I] :
( sP7_prd(I)
<=> ( a_select2(s_center7_init,I) != init
& leq(I,n2)
& leq(n0,I) ) ),
introduced(definition,[new_symbols(definition,[sP7_prd])],[]) ).
fof(f334,definition,
! [J] :
( sP8_prd(J)
<=> ( a_select2(s_try7_init,J) != init
& leq(J,minus(n3,n1))
& leq(n0,J) ) ),
introduced(definition,[new_symbols(definition,[sP8_prd])],[]) ).
fof(f335,plain,
( sP3_prd
<=> ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [J] : sP8_prd(J)
| ? [I] : sP7_prd(I)
| ? [H] : sP6_prd(H)
| ? [F] : sP5_prd(F)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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 )
& n0 != pv1413 ) ),
inference(formula_renaming,[status(thm)],[f245,f334,f333,f332,f331]) ).
fof(f336,plain,
( ( ( ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [J] : ~ sP8_prd(J)
& ! [I] : ~ sP7_prd(I)
& ! [H] : ~ sP6_prd(H)
& ! [F] : ~ sP5_prd(F)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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 )
| n0 = pv1413
| sP3_prd )
& ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| ? [J] : sP8_prd(J)
| ? [I] : sP7_prd(I)
| ? [H] : sP6_prd(H)
| ? [F] : sP5_prd(F)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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 )
& n0 != pv1413 )
| ~ sP3_prd ) ),
inference(NNF_transformation,[status(thm)],[f335]) ).
fof(f337,plain,
( ( ( ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [J] : ~ sP8_prd(J)
& ! [I] : ~ sP7_prd(I)
& ! [H] : ~ sP6_prd(H)
& ! [F] : ~ sP5_prd(F)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& 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 )
| n0 = pv1413
| sP3_prd )
& ( ( ( ( ( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init )
& gt(loopcounter,n1) )
| sP8_prd(sK30_skl)
| sP7_prd(sK29_skl)
| sP6_prd(sK28_skl)
| sP5_prd(sK27_skl)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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 )
& n0 != pv1413 )
| ~ sP3_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK27_skl,sK28_skl,sK29_skl,sK30_skl]),skolemize(F,sK27_skl),skolemize(H,sK28_skl),skolemize(I,sK29_skl),skolemize(J,sK30_skl)],[f336]) ).
fof(f338,plain,
( n0 != pv1413
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f339,plain,
( gt(loopcounter,n1)
| sP8_prd(sK30_skl)
| sP7_prd(sK29_skl)
| sP6_prd(sK28_skl)
| sP5_prd(sK27_skl)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f340,plain,
( pvar1402_init != init
| pvar1401_init != init
| pvar1400_init != init
| sP8_prd(sK30_skl)
| sP7_prd(sK29_skl)
| sP6_prd(sK28_skl)
| sP5_prd(sK27_skl)
| ~ leq(s_worst7,n3)
| ~ leq(s_sworst7,n3)
| ~ leq(s_best7,n3)
| ~ 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
| ~ sP3_prd ),
inference(cnf_transformation,[status(thm)],[f337]) ).
fof(f366,plain,
! [F] :
( ( ! [G] :
( a_select3(simplex7_init,G,F) = init
| ~ leq(G,n3)
| ~ leq(n0,G) )
| ~ leq(F,n2)
| ~ leq(n0,F)
| sP5_prd(F) )
& ( ( ? [G] :
( a_select3(simplex7_init,G,F) != init
& leq(G,n3)
& leq(n0,G) )
& leq(F,n2)
& leq(n0,F) )
| ~ sP5_prd(F) ) ),
inference(NNF_transformation,[status(thm)],[f331]) ).
fof(f367,plain,
( ! [F] :
( ! [G] :
( a_select3(simplex7_init,G,F) = init
| ~ leq(G,n3)
| ~ leq(n0,G) )
| ~ leq(F,n2)
| ~ leq(n0,F)
| sP5_prd(F) )
& ! [F] :
( ( ? [G] :
( a_select3(simplex7_init,G,F) != init
& leq(G,n3)
& leq(n0,G) )
& leq(F,n2)
& leq(n0,F) )
| ~ sP5_prd(F) ) ),
inference(miniscoping,[status(thm)],[f366]) ).
fof(f368,plain,
( ! [F] :
( ! [G] :
( a_select3(simplex7_init,G,F) = init
| ~ leq(G,n3)
| ~ leq(n0,G) )
| ~ leq(F,n2)
| ~ leq(n0,F)
| sP5_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) )
| ~ sP5_prd(F) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK31_skl]),skolemize(G,sK31_skl(F))],[f367]) ).
fof(f369,plain,
! [X0] :
( leq(n0,X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f370,plain,
! [X0] :
( leq(X0,n2)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f371,plain,
! [X0] :
( leq(n0,sK31_skl(X0))
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f372,plain,
! [X0] :
( leq(sK31_skl(X0),n3)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f373,plain,
! [X0] :
( a_select3(simplex7_init,sK31_skl(X0),X0) != init
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f368]) ).
fof(f375,plain,
! [H] :
( ( a_select2(s_values7_init,H) = init
| ~ leq(H,n3)
| ~ leq(n0,H)
| sP6_prd(H) )
& ( ( a_select2(s_values7_init,H) != init
& leq(H,n3)
& leq(n0,H) )
| ~ sP6_prd(H) ) ),
inference(NNF_transformation,[status(thm)],[f332]) ).
fof(f376,plain,
( ! [H] :
( a_select2(s_values7_init,H) = init
| ~ leq(H,n3)
| ~ leq(n0,H)
| sP6_prd(H) )
& ! [H] :
( ( a_select2(s_values7_init,H) != init
& leq(H,n3)
& leq(n0,H) )
| ~ sP6_prd(H) ) ),
inference(miniscoping,[status(thm)],[f375]) ).
fof(f377,plain,
! [X0] :
( leq(n0,X0)
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f378,plain,
! [X0] :
( leq(X0,n3)
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f379,plain,
! [X0] :
( a_select2(s_values7_init,X0) != init
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f376]) ).
fof(f381,plain,
! [I] :
( ( a_select2(s_center7_init,I) = init
| ~ leq(I,n2)
| ~ leq(n0,I)
| sP7_prd(I) )
& ( ( a_select2(s_center7_init,I) != init
& leq(I,n2)
& leq(n0,I) )
| ~ sP7_prd(I) ) ),
inference(NNF_transformation,[status(thm)],[f333]) ).
fof(f382,plain,
( ! [I] :
( a_select2(s_center7_init,I) = init
| ~ leq(I,n2)
| ~ leq(n0,I)
| sP7_prd(I) )
& ! [I] :
( ( a_select2(s_center7_init,I) != init
& leq(I,n2)
& leq(n0,I) )
| ~ sP7_prd(I) ) ),
inference(miniscoping,[status(thm)],[f381]) ).
fof(f383,plain,
! [X0] :
( leq(n0,X0)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f384,plain,
! [X0] :
( leq(X0,n2)
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f385,plain,
! [X0] :
( a_select2(s_center7_init,X0) != init
| ~ sP7_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f382]) ).
fof(f387,plain,
! [J] :
( ( a_select2(s_try7_init,J) = init
| ~ leq(J,minus(n3,n1))
| ~ leq(n0,J)
| sP8_prd(J) )
& ( ( a_select2(s_try7_init,J) != init
& leq(J,minus(n3,n1))
& leq(n0,J) )
| ~ sP8_prd(J) ) ),
inference(NNF_transformation,[status(thm)],[f334]) ).
fof(f388,plain,
( ! [J] :
( a_select2(s_try7_init,J) = init
| ~ leq(J,minus(n3,n1))
| ~ leq(n0,J)
| sP8_prd(J) )
& ! [J] :
( ( a_select2(s_try7_init,J) != init
& leq(J,minus(n3,n1))
& leq(n0,J) )
| ~ sP8_prd(J) ) ),
inference(miniscoping,[status(thm)],[f387]) ).
fof(f389,plain,
! [X0] :
( leq(n0,X0)
| ~ sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f390,plain,
! [X0] :
( leq(X0,minus(n3,n1))
| ~ sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f391,plain,
! [X0] :
( a_select2(s_try7_init,X0) != init
| ~ sP8_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f388]) ).
fof(f393,definition,
( sQ0_spl
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( sQ0_spl
| ~ gt(loopcounter,n1) ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ1_spl
<=> pvar1400_init = init ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f260,f393,f396]) ).
fof(f400,definition,
( sQ2_spl
<=> pvar1401_init = init ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f403,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f261,f393,f400]) ).
fof(f404,definition,
( sQ3_spl
<=> pvar1402_init = init ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f262,f393,f404]) ).
fof(f408,definition,
( sQ4_spl
<=> init = init ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( sQ4_spl
| init != init ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ5_spl
<=> sP3_prd ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f414,definition,
( sQ6_spl
<=> n0 = pv1413 ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f418,definition,
( sQ7_spl
<=> true ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( sQ7_spl
| ~ true ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( ~ sQ7_spl
| sQ5_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f264,f408,f411,f418]) ).
fof(f422,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f338,f411,f414]) ).
fof(f423,definition,
( sQ8_spl
<=> s_best7_init = init ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( sQ8_spl
| s_best7_init != init ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ9_spl
<=> s_sworst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ9_spl
| s_sworst7_init != init ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ10_spl
<=> s_worst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( sQ10_spl
| s_worst7_init != init ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ11_spl
<=> leq(n0,s_best7) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ11_spl
| ~ leq(n0,s_best7) ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ12_spl
<=> leq(n0,s_sworst7) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( sQ12_spl
| ~ leq(n0,s_sworst7) ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ13_spl
<=> leq(n0,s_worst7) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( sQ13_spl
| ~ leq(n0,s_worst7) ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ14_spl
<=> leq(s_best7,n3) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ14_spl
| ~ leq(s_best7,n3) ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ15_spl
<=> leq(s_sworst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ15_spl
| ~ leq(s_sworst7,n3) ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ16_spl
<=> leq(s_worst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ16_spl
| ~ leq(s_worst7,n3) ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ17_spl
<=> sP5_prd(sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f451,plain,
( ~ sQ17_spl
| sP5_prd(sK27_skl) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ18_spl
<=> sP6_prd(sK28_skl) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f454,plain,
( ~ sQ18_spl
| sP6_prd(sK28_skl) ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ19_spl
<=> sP7_prd(sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f457,plain,
( ~ sQ19_spl
| sP7_prd(sK29_skl) ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ20_spl
<=> sP8_prd(sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( ~ sQ20_spl
| sP8_prd(sK30_skl) ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,plain,
( sQ0_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
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f339,f411,f408,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453,f456,f459,f393]) ).
fof(f463,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_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
| ~ sQ4_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f340,f411,f408,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453,f456,f459,f396,f400,f404]) ).
fof(f505,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,pred(n3))
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f210,f259]) ).
fof(f513,plain,
! [X0] :
( leq(X0,pred(n3))
| ~ sP8_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f210,f390]) ).
fof(f742,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f420,f242]) ).
fof(f743,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f742]) ).
fof(f744,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f410]) ).
fof(f745,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f744]) ).
fof(f750,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f449,f255]) ).
fof(f751,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f750]) ).
fof(f752,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f446,f254]) ).
fof(f753,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f752]) ).
fof(f754,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f443,f253]) ).
fof(f755,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f754]) ).
fof(f756,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f440,f252]) ).
fof(f757,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f756]) ).
fof(f758,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f437,f251]) ).
fof(f759,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f758]) ).
fof(f760,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f434,f250]) ).
fof(f761,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f760]) ).
fof(f762,plain,
( sQ10_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f249,f431]) ).
fof(f763,plain,
( sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f762]) ).
fof(f764,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f763]) ).
fof(f765,plain,
( sQ8_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f247,f425]) ).
fof(f766,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f765]) ).
fof(f767,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f766]) ).
fof(f768,plain,
( sQ9_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f248,f428]) ).
fof(f769,plain,
( sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f768]) ).
fof(f770,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f769]) ).
fof(f772,plain,
( ~ sQ20_spl
| a_select2(s_try7_init,sK30_skl) != init ),
inference(resolution,[status(thm)],[f391,f460]) ).
fof(f774,plain,
( ~ sQ20_spl
| ~ leq(sK30_skl,pred(n3))
| ~ leq(n0,sK30_skl) ),
inference(resolution,[status(thm)],[f772,f505]) ).
fof(f775,definition,
( sQ61_spl
<=> leq(n0,sK30_skl) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f777,plain,
( sQ61_spl
| ~ leq(n0,sK30_skl) ),
inference(component_clause,[status(thm)],[f775]) ).
fof(f778,definition,
( sQ62_spl
<=> leq(sK30_skl,pred(n3)) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( sQ62_spl
| ~ leq(sK30_skl,pred(n3)) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f781,plain,
( ~ sQ20_spl
| ~ sQ62_spl
| ~ sQ61_spl ),
inference(split_clause,[status(thm)],[f774,f775,f778,f459]) ).
fof(f785,plain,
( sQ61_spl
| ~ sP8_prd(sK30_skl) ),
inference(resolution,[status(thm)],[f777,f389]) ).
fof(f790,plain,
( sQ61_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f785,f459,f775]) ).
fof(f791,plain,
( ~ sQ19_spl
| a_select2(s_center7_init,sK29_skl) != init ),
inference(resolution,[status(thm)],[f457,f385]) ).
fof(f792,plain,
( sQ62_spl
| ~ sP8_prd(sK30_skl) ),
inference(resolution,[status(thm)],[f780,f513]) ).
fof(f824,plain,
( ~ sQ19_spl
| ~ leq(sK29_skl,n2)
| ~ leq(n0,sK29_skl) ),
inference(resolution,[status(thm)],[f791,f258]) ).
fof(f825,definition,
( sQ66_spl
<=> leq(n0,sK29_skl) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f827,plain,
( sQ66_spl
| ~ leq(n0,sK29_skl) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,definition,
( sQ67_spl
<=> leq(sK29_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( sQ67_spl
| ~ leq(sK29_skl,n2) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( ~ sQ19_spl
| ~ sQ67_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f824,f825,f828,f456]) ).
fof(f834,plain,
( sQ66_spl
| ~ sP7_prd(sK29_skl) ),
inference(resolution,[status(thm)],[f827,f383]) ).
fof(f840,plain,
( sQ66_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f834,f456,f825]) ).
fof(f841,plain,
( ~ sQ18_spl
| a_select2(s_values7_init,sK28_skl) != init ),
inference(resolution,[status(thm)],[f454,f379]) ).
fof(f842,plain,
( ~ sQ18_spl
| ~ leq(sK28_skl,n3)
| ~ leq(n0,sK28_skl) ),
inference(resolution,[status(thm)],[f841,f257]) ).
fof(f843,definition,
( sQ68_spl
<=> leq(n0,sK28_skl) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f845,plain,
( sQ68_spl
| ~ leq(n0,sK28_skl) ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,definition,
( sQ69_spl
<=> leq(sK28_skl,n3) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f848,plain,
( sQ69_spl
| ~ leq(sK28_skl,n3) ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( ~ sQ18_spl
| ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f842,f843,f846,f453]) ).
fof(f851,plain,
( sQ67_spl
| ~ sP7_prd(sK29_skl) ),
inference(resolution,[status(thm)],[f830,f384]) ).
fof(f857,plain,
( sQ68_spl
| ~ sP6_prd(sK28_skl) ),
inference(resolution,[status(thm)],[f845,f377]) ).
fof(f864,plain,
( sQ68_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f857,f453,f843]) ).
fof(f865,plain,
( ~ sQ17_spl
| a_select3(simplex7_init,sK31_skl(sK27_skl),sK27_skl) != init ),
inference(resolution,[status(thm)],[f451,f373]) ).
fof(f878,plain,
( sQ69_spl
| ~ sP6_prd(sK28_skl) ),
inference(resolution,[status(thm)],[f848,f378]) ).
fof(f901,plain,
( ~ sQ17_spl
| ~ leq(sK31_skl(sK27_skl),n3)
| ~ leq(n0,sK31_skl(sK27_skl))
| ~ leq(sK27_skl,n2)
| ~ leq(n0,sK27_skl) ),
inference(resolution,[status(thm)],[f865,f256]) ).
fof(f902,definition,
( sQ72_spl
<=> leq(n0,sK27_skl) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f904,plain,
( sQ72_spl
| ~ leq(n0,sK27_skl) ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,definition,
( sQ73_spl
<=> leq(sK27_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f907,plain,
( sQ73_spl
| ~ leq(sK27_skl,n2) ),
inference(component_clause,[status(thm)],[f905]) ).
fof(f908,definition,
( sQ74_spl
<=> leq(n0,sK31_skl(sK27_skl)) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f910,plain,
( sQ74_spl
| ~ leq(n0,sK31_skl(sK27_skl)) ),
inference(component_clause,[status(thm)],[f908]) ).
fof(f911,definition,
( sQ75_spl
<=> leq(sK31_skl(sK27_skl),n3) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f913,plain,
( sQ75_spl
| ~ leq(sK31_skl(sK27_skl),n3) ),
inference(component_clause,[status(thm)],[f911]) ).
fof(f914,plain,
( ~ sQ17_spl
| ~ sQ75_spl
| ~ sQ74_spl
| ~ sQ73_spl
| ~ sQ72_spl ),
inference(split_clause,[status(thm)],[f901,f902,f905,f908,f911,f450]) ).
fof(f915,plain,
( sQ75_spl
| ~ sP5_prd(sK27_skl) ),
inference(resolution,[status(thm)],[f913,f372]) ).
fof(f921,plain,
( sQ75_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f915,f450,f911]) ).
fof(f922,plain,
( sQ62_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f792,f459,f778]) ).
fof(f933,plain,
( sQ67_spl
| ~ sQ19_spl ),
inference(split_clause,[status(thm)],[f851,f456,f828]) ).
fof(f934,plain,
( sQ69_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f878,f453,f846]) ).
fof(f938,plain,
( sQ74_spl
| ~ sP5_prd(sK27_skl) ),
inference(resolution,[status(thm)],[f910,f371]) ).
fof(f947,plain,
( sQ74_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f938,f450,f908]) ).
fof(f949,plain,
( sQ0_spl
| n1 = loopcounter
| ~ leq(n1,loopcounter) ),
inference(resolution,[status(thm)],[f395,f107]) ).
fof(f950,plain,
( sQ0_spl
| loopcounter = n1
| gt(n1,loopcounter) ),
inference(resolution,[status(thm)],[f395,f87]) ).
fof(f953,definition,
( sQ76_spl
<=> leq(n1,loopcounter) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f955,plain,
( sQ76_spl
| ~ leq(n1,loopcounter) ),
inference(component_clause,[status(thm)],[f953]) ).
fof(f956,definition,
( sQ77_spl
<=> n1 = loopcounter ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f957,plain,
( ~ sQ77_spl
| n1 = loopcounter ),
inference(component_clause,[status(thm)],[f956]) ).
fof(f959,plain,
( sQ0_spl
| sQ77_spl
| ~ sQ76_spl ),
inference(split_clause,[status(thm)],[f949,f953,f956,f393]) ).
fof(f960,definition,
( sQ78_spl
<=> gt(n1,loopcounter) ),
introduced(definition,[new_symbols(definition,[sQ78_spl])],[split_symbol_definition]) ).
fof(f961,plain,
( ~ sQ78_spl
| gt(n1,loopcounter) ),
inference(component_clause,[status(thm)],[f960]) ).
fof(f963,plain,
( sQ0_spl
| sQ77_spl
| sQ78_spl ),
inference(split_clause,[status(thm)],[f950,f960,f956,f393]) ).
fof(f968,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| gt(n1,n1) ),
inference(forward_demodulation,[status(thm)],[f957,f961]) ).
fof(f969,plain,
( ~ sQ78_spl
| ~ sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f968,f91]) ).
fof(f970,plain,
( ~ sQ78_spl
| ~ sQ77_spl ),
inference(contradiction_clause,[status(thm)],[f969]) ).
fof(f973,plain,
( sQ76_spl
| ~ gt(loopcounter,n1) ),
inference(resolution,[status(thm)],[f955,f105]) ).
fof(f975,plain,
( sQ76_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f973,f393,f953]) ).
fof(f981,plain,
( sQ73_spl
| ~ sP5_prd(sK27_skl) ),
inference(resolution,[status(thm)],[f907,f370]) ).
fof(f987,plain,
( sQ73_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f981,f450,f905]) ).
fof(f989,plain,
( sQ72_spl
| ~ sP5_prd(sK27_skl) ),
inference(resolution,[status(thm)],[f904,f369]) ).
fof(f997,plain,
( sQ72_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f989,f450,f902]) ).
fof(f998,plain,
$false,
inference(sat_refutation,[status(thm)],[f399,f403,f407,f421,f422,f462,f463,f743,f745,f751,f753,f755,f757,f759,f761,f764,f767,f770,f781,f790,f831,f840,f849,f864,f914,f921,f922,f933,f934,f947,f959,f963,f970,f975,f987,f997]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV038+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n006.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 08:28:12 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.12/0.44 % Refutation found
% 0.12/0.44 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.44 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.47 % Elapsed time: 0.120333 seconds
% 0.12/0.47 % CPU time: 0.584371 seconds
% 0.12/0.47 % Total memory used: 116.889 MB
% 0.12/0.47 % Net memory used: 115.882 MB
%------------------------------------------------------------------------------