%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV029+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:46:28 PM UTC 2026
% Result : Theorem 0.66s 0.59s
% Output : CNFRefutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 41
% Syntax : Number of formulae : 199 ( 27 unt; 35 def)
% Number of atoms : 799 ( 194 equ)
% Maximal formula atoms : 58 ( 4 avg)
% Number of connectives : 918 ( 318 ~; 333 |; 204 &)
% ( 36 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 36 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 32 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 24 con; 0-3 aty)
% Number of variables : 131 ( 119 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X,Y] :
( leq(X,pred(Y))
<=> gt(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [I,U,X,VAL,VAL2] :
( ( a_select2(X,U) = VAL
& I != U )
=> a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [E] :
( ( leq(E,minus(n3,n1))
& leq(n0,E) )
=> a_select2(s_try7_init,E) = init )
& ! [D] :
( ( leq(D,n2)
& leq(n0,D) )
=> a_select2(s_center7_init,D) = init )
& ! [C] :
( ( leq(C,n3)
& leq(n0,C) )
=> a_select2(s_values7_init,C) = init )
& ! [A] :
( ( leq(A,n2)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n3)
& leq(n0,B) )
=> a_select3(simplex7_init,B,A) = init ) )
& leq(pv1376,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& 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(tptp_update2(s_values7_init,pv1376,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 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ( gt(loopcounter,n1)
=> ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init ) )
& ! [E] :
( ( leq(E,minus(n3,n1))
& leq(n0,E) )
=> a_select2(s_try7_init,E) = init )
& ! [D] :
( ( leq(D,n2)
& leq(n0,D) )
=> a_select2(s_center7_init,D) = init )
& ! [C] :
( ( leq(C,n3)
& leq(n0,C) )
=> a_select2(s_values7_init,C) = init )
& ! [A] :
( ( leq(A,n2)
& leq(n0,A) )
=> ! [B] :
( ( leq(B,n3)
& leq(n0,B) )
=> a_select3(simplex7_init,B,A) = init ) )
& leq(pv1376,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& 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(tptp_update2(s_values7_init,pv1376,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 ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f108,plain,
! [X,Y] :
( ( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(NNF_transformation,[status(thm)],[f10]) ).
fof(f109,plain,
( ! [X,Y] :
( ~ gt(Y,X)
| leq(X,pred(Y)) )
& ! [X,Y] :
( gt(Y,X)
| ~ leq(X,pred(Y)) ) ),
inference(miniscoping,[status(thm)],[f108]) ).
fof(f111,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,pred(X1)) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f210,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f233,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f234,plain,
! [I,U,X,VAL,VAL2] :
( a_select2(tptp_update2(X,I,VAL2),U) = VAL
| a_select2(X,U) != VAL
| I = U ),
inference(pre_NNF_transformation,[status(thm)],[f49]) ).
fof(f235,plain,
! [I,U,X,VAL] :
( ! [VAL2] : a_select2(tptp_update2(X,I,VAL2),U) = VAL
| a_select2(X,U) != VAL
| I = U ),
inference(miniscoping,[status(thm)],[f234]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f244,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(tptp_update2(s_values7_init,pv1376,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 )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [E] :
( a_select2(s_try7_init,E) = init
| ~ leq(E,minus(n3,n1))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1376,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& 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(f245,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(f246,definition,
! [H] :
( sP4_prd(H)
<=> ( a_select2(tptp_update2(s_values7_init,pv1376,init),H) != init
& leq(H,n3)
& leq(n0,H) ) ),
introduced(definition,[new_symbols(definition,[sP4_prd])],[]) ).
fof(f247,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(f248,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(f249,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(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 )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [E] :
( a_select2(s_try7_init,E) = init
| ~ leq(E,minus(n3,n1))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1376,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& 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)],[f244,f248,f247,f246,f245]) ).
fof(f250,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(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 )
& ( ( pvar1402_init = init
& pvar1401_init = init
& pvar1400_init = init )
| ~ gt(loopcounter,n1) )
& ! [E] :
( a_select2(s_try7_init,E) = init
| ~ leq(E,minus(n3,n1))
| ~ leq(n0,E) )
& ! [D] :
( a_select2(s_center7_init,D) = init
| ~ leq(D,n2)
| ~ leq(n0,D) )
& ! [C] :
( a_select2(s_values7_init,C) = init
| ~ leq(C,n3)
| ~ leq(n0,C) )
& ! [A] :
( ! [B] :
( a_select3(simplex7_init,B,A) = init
| ~ leq(B,n3)
| ~ leq(n0,B) )
| ~ leq(A,n2)
| ~ leq(n0,A) )
& leq(pv1376,n3)
& leq(s_worst7,n3)
& leq(s_sworst7,n3)
& leq(s_best7,n3)
& leq(n0,pv1376)
& 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)],[f249]) ).
fof(f252,plain,
s_best7_init = init,
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f253,plain,
s_sworst7_init = init,
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f254,plain,
s_worst7_init = init,
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f255,plain,
leq(n0,s_best7),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f256,plain,
leq(n0,s_sworst7),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f257,plain,
leq(n0,s_worst7),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f259,plain,
leq(s_best7,n3),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f260,plain,
leq(s_sworst7,n3),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f261,plain,
leq(s_worst7,n3),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f263,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)],[f250]) ).
fof(f264,plain,
! [X0] :
( a_select2(s_values7_init,X0) = init
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f265,plain,
! [X0] :
( a_select2(s_center7_init,X0) = init
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f266,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,minus(n3,n1))
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f267,plain,
( pvar1400_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f268,plain,
( pvar1401_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f269,plain,
( pvar1402_init = init
| ~ gt(loopcounter,n1) ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f270,plain,
( gt(loopcounter,n1)
| sP6_prd(sK26_skl)
| sP5_prd(sK25_skl)
| sP4_prd(sK24_skl)
| sP3_prd(sK23_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 ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f271,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(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 ),
inference(cnf_transformation,[status(thm)],[f250]) ).
fof(f281,plain,
gt(n1,n0),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f338,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)],[f245]) ).
fof(f339,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)],[f338]) ).
fof(f340,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))],[f339]) ).
fof(f341,plain,
! [X0] :
( leq(n0,X0)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f342,plain,
! [X0] :
( leq(X0,n2)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f343,plain,
! [X0] :
( leq(n0,sK31_skl(X0))
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f344,plain,
! [X0] :
( leq(sK31_skl(X0),n3)
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f345,plain,
! [X0] :
( a_select3(simplex7_init,sK31_skl(X0),X0) != init
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f340]) ).
fof(f347,plain,
! [H] :
( ( a_select2(tptp_update2(s_values7_init,pv1376,init),H) = init
| ~ leq(H,n3)
| ~ leq(n0,H)
| sP4_prd(H) )
& ( ( a_select2(tptp_update2(s_values7_init,pv1376,init),H) != init
& leq(H,n3)
& leq(n0,H) )
| ~ sP4_prd(H) ) ),
inference(NNF_transformation,[status(thm)],[f246]) ).
fof(f348,plain,
( ! [H] :
( a_select2(tptp_update2(s_values7_init,pv1376,init),H) = init
| ~ leq(H,n3)
| ~ leq(n0,H)
| sP4_prd(H) )
& ! [H] :
( ( a_select2(tptp_update2(s_values7_init,pv1376,init),H) != init
& leq(H,n3)
& leq(n0,H) )
| ~ sP4_prd(H) ) ),
inference(miniscoping,[status(thm)],[f347]) ).
fof(f349,plain,
! [X0] :
( leq(n0,X0)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f350,plain,
! [X0] :
( leq(X0,n3)
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f351,plain,
! [X0] :
( a_select2(tptp_update2(s_values7_init,pv1376,init),X0) != init
| ~ sP4_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f348]) ).
fof(f353,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)],[f247]) ).
fof(f354,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)],[f353]) ).
fof(f355,plain,
! [X0] :
( leq(n0,X0)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f356,plain,
! [X0] :
( leq(X0,n2)
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f357,plain,
! [X0] :
( a_select2(s_center7_init,X0) != init
| ~ sP5_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f354]) ).
fof(f359,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)],[f248]) ).
fof(f360,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)],[f359]) ).
fof(f361,plain,
! [X0] :
( leq(n0,X0)
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f362,plain,
! [X0] :
( leq(X0,minus(n3,n1))
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f363,plain,
! [X0] :
( a_select2(s_try7_init,X0) != init
| ~ sP6_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f360]) ).
fof(f373,definition,
( sQ0_spl
<=> gt(loopcounter,n1) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f376,definition,
( sQ1_spl
<=> pvar1400_init = init ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f267,f373,f376]) ).
fof(f380,definition,
( sQ2_spl
<=> pvar1401_init = init ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ2_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f268,f373,f380]) ).
fof(f384,definition,
( sQ3_spl
<=> pvar1402_init = init ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( sQ3_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f269,f373,f384]) ).
fof(f388,definition,
( sQ4_spl
<=> init = init ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( sQ4_spl
| init != init ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
( sQ5_spl
<=> s_best7_init = init ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( sQ5_spl
| s_best7_init != init ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,definition,
( sQ6_spl
<=> s_sworst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ6_spl
| s_sworst7_init != init ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
( sQ7_spl
<=> s_worst7_init = init ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( sQ7_spl
| s_worst7_init != init ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ8_spl
<=> leq(n0,s_best7) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ8_spl
| ~ leq(n0,s_best7) ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,definition,
( sQ9_spl
<=> leq(n0,s_sworst7) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( sQ9_spl
| ~ leq(n0,s_sworst7) ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,definition,
( sQ10_spl
<=> leq(n0,s_worst7) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ10_spl
| ~ leq(n0,s_worst7) ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ11_spl
<=> leq(s_best7,n3) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( sQ11_spl
| ~ leq(s_best7,n3) ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ12_spl
<=> leq(s_sworst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ12_spl
| ~ leq(s_sworst7,n3) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ13_spl
<=> leq(s_worst7,n3) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( sQ13_spl
| ~ leq(s_worst7,n3) ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
( sQ14_spl
<=> sP3_prd(sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( ~ sQ14_spl
| sP3_prd(sK23_skl) ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ15_spl
<=> sP4_prd(sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( ~ sQ15_spl
| sP4_prd(sK24_skl) ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ16_spl
<=> sP5_prd(sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( ~ sQ16_spl
| sP5_prd(sK25_skl) ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ17_spl
<=> sP6_prd(sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( ~ sQ17_spl
| sP6_prd(sK26_skl) ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( sQ0_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)],[f270,f388,f391,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f373]) ).
fof(f431,plain,
( ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_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)],[f271,f388,f391,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f376,f380,f384]) ).
fof(f443,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X0,X3),X1) = a_select2(X2,X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f236]) ).
fof(f444,plain,
! [X0] :
( a_select2(s_try7_init,X0) = init
| ~ leq(X0,pred(n3))
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f210,f266]) ).
fof(f452,plain,
! [X0] :
( leq(X0,pred(n3))
| ~ sP6_prd(X0) ),
inference(forward_demodulation,[status(thm)],[f210,f362]) ).
fof(f552,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f417,f261]) ).
fof(f553,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f552]) ).
fof(f554,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f414,f260]) ).
fof(f555,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f411,f259]) ).
fof(f557,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f408,f257]) ).
fof(f559,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f405,f256]) ).
fof(f561,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f402,f255]) ).
fof(f563,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f564,plain,
( sQ7_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f254,f399]) ).
fof(f565,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f564]) ).
fof(f566,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f567,plain,
( sQ6_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f253,f396]) ).
fof(f568,plain,
( sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f567]) ).
fof(f569,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ5_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f252,f393]) ).
fof(f571,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f570]) ).
fof(f572,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f390]) ).
fof(f574,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f701,plain,
( ~ sQ14_spl
| a_select3(simplex7_init,sK31_skl(sK23_skl),sK23_skl) != init ),
inference(resolution,[status(thm)],[f345,f419]) ).
fof(f725,plain,
( ~ sQ15_spl
| a_select2(tptp_update2(s_values7_init,pv1376,init),sK24_skl) != init ),
inference(resolution,[status(thm)],[f351,f422]) ).
fof(f740,plain,
( ~ sQ16_spl
| a_select2(s_center7_init,sK25_skl) != init ),
inference(resolution,[status(thm)],[f357,f425]) ).
fof(f785,plain,
( ~ sQ16_spl
| ~ leq(sK25_skl,n2)
| ~ leq(n0,sK25_skl) ),
inference(resolution,[status(thm)],[f740,f265]) ).
fof(f786,definition,
( sQ60_spl
<=> leq(n0,sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f788,plain,
( sQ60_spl
| ~ leq(n0,sK25_skl) ),
inference(component_clause,[status(thm)],[f786]) ).
fof(f789,definition,
( sQ61_spl
<=> leq(sK25_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ61_spl
| ~ leq(sK25_skl,n2) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f792,plain,
( ~ sQ16_spl
| ~ sQ61_spl
| ~ sQ60_spl ),
inference(split_clause,[status(thm)],[f785,f786,f789,f424]) ).
fof(f793,plain,
( sQ61_spl
| ~ sP5_prd(sK25_skl) ),
inference(resolution,[status(thm)],[f791,f356]) ).
fof(f799,plain,
( sQ61_spl
| ~ sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f793,f425]) ).
fof(f800,plain,
( sQ61_spl
| ~ sQ16_spl ),
inference(contradiction_clause,[status(thm)],[f799]) ).
fof(f801,plain,
( ~ sQ17_spl
| a_select2(s_try7_init,sK26_skl) != init ),
inference(resolution,[status(thm)],[f363,f428]) ).
fof(f802,plain,
( ~ sQ14_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)],[f701,f263]) ).
fof(f803,definition,
( sQ62_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f805,plain,
( sQ62_spl
| ~ leq(n0,sK23_skl) ),
inference(component_clause,[status(thm)],[f803]) ).
fof(f806,definition,
( sQ63_spl
<=> leq(sK23_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f808,plain,
( sQ63_spl
| ~ leq(sK23_skl,n2) ),
inference(component_clause,[status(thm)],[f806]) ).
fof(f809,definition,
( sQ64_spl
<=> leq(n0,sK31_skl(sK23_skl)) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f811,plain,
( sQ64_spl
| ~ leq(n0,sK31_skl(sK23_skl)) ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,definition,
( sQ65_spl
<=> leq(sK31_skl(sK23_skl),n3) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f814,plain,
( sQ65_spl
| ~ leq(sK31_skl(sK23_skl),n3) ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( ~ sQ14_spl
| ~ sQ65_spl
| ~ sQ64_spl
| ~ sQ63_spl
| ~ sQ62_spl ),
inference(split_clause,[status(thm)],[f802,f803,f806,f809,f812,f418]) ).
fof(f816,plain,
( ~ sQ15_spl
| pv1376 = sK24_skl
| a_select2(s_values7_init,sK24_skl) != init ),
inference(paramodulation,[status(thm)],[f443,f725]) ).
fof(f817,definition,
( sQ66_spl
<=> a_select2(s_values7_init,sK24_skl) = init ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( sQ66_spl
| a_select2(s_values7_init,sK24_skl) != init ),
inference(component_clause,[status(thm)],[f817]) ).
fof(f820,definition,
( sQ67_spl
<=> pv1376 = sK24_skl ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f821,plain,
( ~ sQ67_spl
| pv1376 = sK24_skl ),
inference(component_clause,[status(thm)],[f820]) ).
fof(f823,plain,
( ~ sQ15_spl
| sQ67_spl
| ~ sQ66_spl ),
inference(split_clause,[status(thm)],[f816,f817,f820,f421]) ).
fof(f824,plain,
( ~ sQ15_spl
| ~ sQ67_spl
| a_select2(tptp_update2(s_values7_init,pv1376,init),pv1376) != init ),
inference(backward_demodulation,[status(thm)],[f821,f725]) ).
fof(f827,plain,
( ~ sQ15_spl
| ~ sQ67_spl
| init != init ),
inference(forward_demodulation,[status(thm)],[f233,f824]) ).
fof(f828,plain,
( ~ sQ15_spl
| ~ sQ67_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f827]) ).
fof(f829,plain,
( ~ sQ15_spl
| ~ sQ67_spl ),
inference(contradiction_clause,[status(thm)],[f828]) ).
fof(f830,plain,
( ~ sQ17_spl
| ~ leq(sK26_skl,pred(n3))
| ~ leq(n0,sK26_skl) ),
inference(resolution,[status(thm)],[f801,f444]) ).
fof(f831,definition,
( sQ68_spl
<=> leq(n0,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f833,plain,
( sQ68_spl
| ~ leq(n0,sK26_skl) ),
inference(component_clause,[status(thm)],[f831]) ).
fof(f834,definition,
( sQ69_spl
<=> leq(sK26_skl,pred(n3)) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( sQ69_spl
| ~ leq(sK26_skl,pred(n3)) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,plain,
( ~ sQ17_spl
| ~ sQ69_spl
| ~ sQ68_spl ),
inference(split_clause,[status(thm)],[f830,f831,f834,f427]) ).
fof(f865,definition,
( sQ71_spl
<=> leq(n0,pred(n1)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f867,plain,
( sQ71_spl
| ~ leq(n0,pred(n1)) ),
inference(component_clause,[status(thm)],[f865]) ).
fof(f890,plain,
( sQ60_spl
| ~ sP5_prd(sK25_skl) ),
inference(resolution,[status(thm)],[f788,f355]) ).
fof(f906,plain,
( sQ63_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f808,f342]) ).
fof(f911,plain,
( sQ63_spl
| ~ sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f906,f419]) ).
fof(f912,plain,
( sQ63_spl
| ~ sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f911]) ).
fof(f916,plain,
( sQ62_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f805,f341]) ).
fof(f936,plain,
( sQ66_spl
| ~ leq(sK24_skl,n3)
| ~ leq(n0,sK24_skl) ),
inference(resolution,[status(thm)],[f819,f264]) ).
fof(f937,definition,
( sQ79_spl
<=> leq(n0,sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f939,plain,
( sQ79_spl
| ~ leq(n0,sK24_skl) ),
inference(component_clause,[status(thm)],[f937]) ).
fof(f940,definition,
( sQ80_spl
<=> leq(sK24_skl,n3) ),
introduced(definition,[new_symbols(definition,[sQ80_spl])],[split_symbol_definition]) ).
fof(f942,plain,
( sQ80_spl
| ~ leq(sK24_skl,n3) ),
inference(component_clause,[status(thm)],[f940]) ).
fof(f943,plain,
( sQ66_spl
| ~ sQ80_spl
| ~ sQ79_spl ),
inference(split_clause,[status(thm)],[f936,f937,f940,f817]) ).
fof(f944,plain,
( sQ69_spl
| ~ sP6_prd(sK26_skl) ),
inference(resolution,[status(thm)],[f836,f452]) ).
fof(f950,plain,
( sQ69_spl
| ~ sQ17_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f944,f428]) ).
fof(f951,plain,
( sQ69_spl
| ~ sQ17_spl ),
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f955,plain,
( sQ68_spl
| ~ sP6_prd(sK26_skl) ),
inference(resolution,[status(thm)],[f833,f361]) ).
fof(f997,plain,
( sQ71_spl
| ~ gt(n1,n0) ),
inference(resolution,[status(thm)],[f867,f111]) ).
fof(f1002,plain,
( sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f281]) ).
fof(f1003,plain,
sQ71_spl,
inference(contradiction_clause,[status(thm)],[f1002]) ).
fof(f1085,plain,
( sQ64_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f811,f343]) ).
fof(f1094,plain,
( sQ65_spl
| ~ sP3_prd(sK23_skl) ),
inference(resolution,[status(thm)],[f814,f344]) ).
fof(f1102,plain,
( sQ79_spl
| ~ sP4_prd(sK24_skl) ),
inference(resolution,[status(thm)],[f939,f349]) ).
fof(f1108,plain,
( sQ79_spl
| ~ sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1102,f422]) ).
fof(f1109,plain,
( sQ79_spl
| ~ sQ15_spl ),
inference(contradiction_clause,[status(thm)],[f1108]) ).
fof(f1110,plain,
( sQ65_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1094,f418,f812]) ).
fof(f1111,plain,
( sQ64_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f1085,f418,f809]) ).
fof(f1114,plain,
( sQ60_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f890,f424,f786]) ).
fof(f1115,plain,
( sQ68_spl
| ~ sQ17_spl ),
inference(split_clause,[status(thm)],[f955,f427,f831]) ).
fof(f1117,plain,
( sQ80_spl
| ~ sP4_prd(sK24_skl) ),
inference(resolution,[status(thm)],[f942,f350]) ).
fof(f1122,plain,
( sQ80_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1117,f421,f940]) ).
fof(f1123,plain,
( sQ62_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f916,f418,f803]) ).
fof(f1124,plain,
$false,
inference(sat_refutation,[status(thm)],[f379,f383,f387,f430,f431,f553,f555,f557,f559,f561,f563,f566,f569,f572,f574,f792,f800,f815,f823,f829,f837,f912,f943,f951,f1003,f1109,f1110,f1111,f1114,f1115,f1122,f1123]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV029+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n013.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 08:27:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.39 % Drodi V4.1.1
% 0.66/0.59 % Refutation found
% 0.66/0.59 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.66/0.59 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.66/0.62 % Elapsed time: 0.236166 seconds
% 0.66/0.62 % CPU time: 1.541721 seconds
% 0.66/0.62 % Total memory used: 128.008 MB
% 0.66/0.62 % Net memory used: 125.142 MB
%------------------------------------------------------------------------------