%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV093+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 : n008.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 02:46:37 PM UTC 2026
% Result : Theorem 0.14s 15.73s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 53
% Syntax : Number of formulae : 280 ( 70 unt; 48 def)
% Number of atoms : 1261 ( 581 equ)
% Maximal formula atoms : 84 ( 4 avg)
% Number of connectives : 1570 ( 589 ~; 629 |; 293 &)
% ( 48 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 72 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 48 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 22 con; 0-3 aty)
% Number of variables : 80 ( 72 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( ! [C,D] :
( ( leq(D,minus(pv5,n1))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> ( a_select3(z_defuse,C,D) = use
& a_select3(u_defuse,C,D) = use ) )
& ! [A,B] :
( ( leq(B,pv5)
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> ( a_select3(z_defuse,A,B) = use
& a_select3(u_defuse,A,B) = use ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ( ! [G,H] :
( ( leq(H,minus(pv5,n1))
& leq(G,n2)
& leq(n0,H)
& leq(n0,G) )
=> ( a_select3(z_defuse,G,H) = use
& a_select3(u_defuse,G,H) = use ) )
& ! [E,F] :
( ( leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( a_select3(z_defuse,E,F) = use
& a_select3(u_defuse,E,F) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( ! [C,D] :
( ( leq(D,minus(pv5,n1))
& leq(C,n2)
& leq(n0,D)
& leq(n0,C) )
=> ( a_select3(z_defuse,C,D) = use
& a_select3(u_defuse,C,D) = use ) )
& ! [A,B] :
( ( leq(B,pv5)
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> ( a_select3(z_defuse,A,B) = use
& a_select3(u_defuse,A,B) = use ) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use )
=> ( ! [G,H] :
( ( leq(H,minus(pv5,n1))
& leq(G,n2)
& leq(n0,H)
& leq(n0,G) )
=> ( a_select3(z_defuse,G,H) = use
& a_select3(u_defuse,G,H) = use ) )
& ! [E,F] :
( ( leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( a_select3(z_defuse,E,F) = use
& a_select3(u_defuse,E,F) = use ) )
& leq(pv5,minus(n999,n1))
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f80,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f109,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f122,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f227,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f261,plain,
( ( ? [G,H] :
( ( a_select3(z_defuse,G,H) != use
| a_select3(u_defuse,G,H) != use )
& leq(H,minus(pv5,n1))
& leq(G,n2)
& leq(n0,H)
& leq(n0,G) )
| ? [E,F] :
( ( a_select3(z_defuse,E,F) != use
| a_select3(u_defuse,E,F) != use )
& leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use )
& ! [C,D] :
( ( a_select3(z_defuse,C,D) = use
& a_select3(u_defuse,C,D) = use )
| ~ leq(D,minus(pv5,n1))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( ( a_select3(z_defuse,A,B) = use
& a_select3(u_defuse,A,B) = use )
| ~ leq(B,pv5)
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f262,definition,
! [E,F] :
( sP3_prd(F,E)
<=> ( ( a_select3(z_defuse,E,F) != use
| a_select3(u_defuse,E,F) != use )
& leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f263,plain,
( ( ? [G,H] :
( ( a_select3(z_defuse,G,H) != use
| a_select3(u_defuse,G,H) != use )
& leq(H,minus(pv5,n1))
& leq(G,n2)
& leq(n0,H)
& leq(n0,G) )
| ? [E,F] : sP3_prd(F,E)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use )
& ! [C,D] :
( ( a_select3(z_defuse,C,D) = use
& a_select3(u_defuse,C,D) = use )
| ~ leq(D,minus(pv5,n1))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( ( a_select3(z_defuse,A,B) = use
& a_select3(u_defuse,A,B) = use )
| ~ leq(B,pv5)
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(formula_renaming,[status(thm)],[f261,f262]) ).
fof(f264,plain,
( ( ( ( a_select3(z_defuse,sK25_skl,sK26_skl) != use
| a_select3(u_defuse,sK25_skl,sK26_skl) != use )
& leq(sK26_skl,minus(pv5,n1))
& leq(sK25_skl,n2)
& leq(n0,sK26_skl)
& leq(n0,sK25_skl) )
| sP3_prd(sK24_skl,sK23_skl)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use )
& ! [C,D] :
( ( a_select3(z_defuse,C,D) = use
& a_select3(u_defuse,C,D) = use )
| ~ leq(D,minus(pv5,n1))
| ~ leq(C,n2)
| ~ leq(n0,D)
| ~ leq(n0,C) )
& ! [A,B] :
( ( a_select3(z_defuse,A,B) = use
& a_select3(u_defuse,A,B) = use )
| ~ leq(B,pv5)
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& leq(pv41,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv41)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl,sK25_skl,sK26_skl]),skolemize(E,sK23_skl),skolemize(F,sK24_skl),skolemize(G,sK25_skl),skolemize(H,sK26_skl)],[f263]) ).
fof(f265,plain,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f266,plain,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f267,plain,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f268,plain,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f269,plain,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f270,plain,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f271,plain,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f272,plain,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f273,plain,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f274,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f275,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f276,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f277,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f278,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f279,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f280,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f281,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f282,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f283,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f284,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f285,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f286,plain,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f287,plain,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f288,plain,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f289,plain,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f290,plain,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f291,plain,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f292,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f294,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f296,plain,
! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f297,plain,
! [X0,X1] :
( a_select3(z_defuse,X0,X1) = use
| ~ leq(X1,pv5)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f298,plain,
! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f299,plain,
! [X0,X1] :
( a_select3(z_defuse,X0,X1) = use
| ~ leq(X1,minus(pv5,n1))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f300,plain,
( leq(n0,sK25_skl)
| sP3_prd(sK24_skl,sK23_skl)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f301,plain,
( leq(n0,sK26_skl)
| sP3_prd(sK24_skl,sK23_skl)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f302,plain,
( leq(sK25_skl,n2)
| sP3_prd(sK24_skl,sK23_skl)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f303,plain,
( leq(sK26_skl,minus(pv5,n1))
| sP3_prd(sK24_skl,sK23_skl)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f304,plain,
( a_select3(z_defuse,sK25_skl,sK26_skl) != use
| a_select3(u_defuse,sK25_skl,sK26_skl) != use
| sP3_prd(sK24_skl,sK23_skl)
| ~ leq(pv5,minus(n999,n1))
| ~ leq(n0,pv5)
| a_select2(xinit_noise_defuse,n5) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n3) != use
| a_select3(u_defuse,n2,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n0,n0) != use
| a_select2(sigma_defuse,n5) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(rho_defuse,n2) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n0) != use ),
inference(cnf_transformation,[status(thm)],[f264]) ).
fof(f330,plain,
gt(n2,n1),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f389,plain,
! [E,F] :
( ( ( a_select3(z_defuse,E,F) = use
& a_select3(u_defuse,E,F) = use )
| ~ leq(F,pv5)
| ~ leq(E,n2)
| ~ leq(n0,F)
| ~ leq(n0,E)
| sP3_prd(F,E) )
& ( ( ( a_select3(z_defuse,E,F) != use
| a_select3(u_defuse,E,F) != use )
& leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
| ~ sP3_prd(F,E) ) ),
inference(NNF_transformation,[status(thm)],[f262]) ).
fof(f390,plain,
( ! [E,F] :
( ( a_select3(z_defuse,E,F) = use
& a_select3(u_defuse,E,F) = use )
| ~ leq(F,pv5)
| ~ leq(E,n2)
| ~ leq(n0,F)
| ~ leq(n0,E)
| sP3_prd(F,E) )
& ! [E,F] :
( ( ( a_select3(z_defuse,E,F) != use
| a_select3(u_defuse,E,F) != use )
& leq(F,pv5)
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
| ~ sP3_prd(F,E) ) ),
inference(miniscoping,[status(thm)],[f389]) ).
fof(f391,plain,
! [X0,X1] :
( leq(n0,X1)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f392,plain,
! [X0,X1] :
( leq(n0,X0)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f393,plain,
! [X0,X1] :
( leq(X1,n2)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f394,plain,
! [X0,X1] :
( leq(X0,pv5)
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f395,plain,
! [X0,X1] :
( a_select3(z_defuse,X1,X0) != use
| a_select3(u_defuse,X1,X0) != use
| ~ sP3_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f390]) ).
fof(f406,definition,
( sQ0_spl
<=> a_select2(rho_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ0_spl
| a_select2(rho_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ1_spl
<=> a_select2(rho_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( sQ1_spl
| a_select2(rho_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ2_spl
<=> a_select2(rho_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ2_spl
| a_select2(rho_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ3_spl
<=> a_select2(sigma_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( sQ3_spl
| a_select2(sigma_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
( sQ4_spl
<=> a_select2(sigma_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( sQ4_spl
| a_select2(sigma_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ5_spl
<=> a_select2(sigma_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( sQ5_spl
| a_select2(sigma_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ6_spl
<=> a_select2(sigma_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( sQ6_spl
| a_select2(sigma_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ7_spl
<=> a_select2(sigma_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( sQ7_spl
| a_select2(sigma_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ8_spl
<=> a_select2(sigma_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( sQ8_spl
| a_select2(sigma_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ9_spl
<=> a_select3(u_defuse,n0,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( sQ9_spl
| a_select3(u_defuse,n0,n0) != use ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ10_spl
<=> a_select3(u_defuse,n1,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ10_spl
| a_select3(u_defuse,n1,n0) != use ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ11_spl
<=> a_select3(u_defuse,n2,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( sQ11_spl
| a_select3(u_defuse,n2,n0) != use ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ12_spl
<=> a_select2(xinit_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( sQ12_spl
| a_select2(xinit_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ13_spl
<=> a_select2(xinit_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( sQ13_spl
| a_select2(xinit_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ14_spl
<=> a_select2(xinit_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( sQ14_spl
| a_select2(xinit_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ15_spl
<=> a_select2(xinit_mean_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ15_spl
| a_select2(xinit_mean_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ16_spl
<=> a_select2(xinit_mean_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( sQ16_spl
| a_select2(xinit_mean_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ17_spl
<=> a_select2(xinit_mean_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f459,plain,
( sQ17_spl
| a_select2(xinit_mean_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ18_spl
<=> a_select2(xinit_mean_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f462,plain,
( sQ18_spl
| a_select2(xinit_mean_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,definition,
( sQ19_spl
<=> a_select2(xinit_mean_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f465,plain,
( sQ19_spl
| a_select2(xinit_mean_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,definition,
( sQ20_spl
<=> a_select2(xinit_mean_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( sQ20_spl
| a_select2(xinit_mean_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,definition,
( sQ21_spl
<=> a_select2(xinit_noise_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ21_spl
| a_select2(xinit_noise_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ22_spl
<=> a_select2(xinit_noise_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ22_spl
| a_select2(xinit_noise_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,definition,
( sQ23_spl
<=> a_select2(xinit_noise_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( sQ23_spl
| a_select2(xinit_noise_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,definition,
( sQ24_spl
<=> a_select2(xinit_noise_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f480,plain,
( sQ24_spl
| a_select2(xinit_noise_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,definition,
( sQ25_spl
<=> a_select2(xinit_noise_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f483,plain,
( sQ25_spl
| a_select2(xinit_noise_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,definition,
( sQ26_spl
<=> a_select2(xinit_noise_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f486,plain,
( sQ26_spl
| a_select2(xinit_noise_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f484]) ).
fof(f487,definition,
( sQ27_spl
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f489,plain,
( sQ27_spl
| ~ leq(n0,pv5) ),
inference(component_clause,[status(thm)],[f487]) ).
fof(f490,definition,
( sQ28_spl
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f492,plain,
( sQ28_spl
| ~ leq(pv5,minus(n999,n1)) ),
inference(component_clause,[status(thm)],[f490]) ).
fof(f493,definition,
( sQ29_spl
<=> sP3_prd(sK24_skl,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f494,plain,
( ~ sQ29_spl
| sP3_prd(sK24_skl,sK23_skl) ),
inference(component_clause,[status(thm)],[f493]) ).
fof(f496,definition,
( sQ30_spl
<=> leq(n0,sK25_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f499,plain,
( sQ30_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ27_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
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f300,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f484,f487,f490,f493,f496]) ).
fof(f500,definition,
( sQ31_spl
<=> leq(n0,sK26_skl) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( sQ31_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ27_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
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f301,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f484,f487,f490,f493,f500]) ).
fof(f504,definition,
( sQ32_spl
<=> leq(sK25_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( sQ32_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ27_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
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f302,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f484,f487,f490,f493,f504]) ).
fof(f508,definition,
( sQ33_spl
<=> leq(sK26_skl,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f509,plain,
( ~ sQ33_spl
| leq(sK26_skl,minus(pv5,n1)) ),
inference(component_clause,[status(thm)],[f508]) ).
fof(f511,plain,
( sQ33_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ27_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
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f303,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f484,f487,f490,f493,f508]) ).
fof(f512,definition,
( sQ34_spl
<=> a_select3(u_defuse,sK25_skl,sK26_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ34_spl
| a_select3(u_defuse,sK25_skl,sK26_skl) != use ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ35_spl
<=> a_select3(z_defuse,sK25_skl,sK26_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( sQ35_spl
| a_select3(z_defuse,sK25_skl,sK26_skl) != use ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,plain,
( ~ sQ35_spl
| ~ sQ34_spl
| sQ29_spl
| ~ sQ28_spl
| ~ sQ27_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
| ~ sQ3_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f304,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f484,f487,f490,f493,f512,f515]) ).
fof(f531,plain,
leq(pv5,pred(n999)),
inference(forward_demodulation,[status(thm)],[f227,f294]) ).
fof(f533,plain,
! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f227,f298]) ).
fof(f534,plain,
! [X0,X1] :
( a_select3(z_defuse,X0,X1) = use
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f227,f299]) ).
fof(f789,definition,
( sQ71_spl
<=> leq(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f791,plain,
( sQ71_spl
| ~ leq(n0,n0) ),
inference(component_clause,[status(thm)],[f789]) ).
fof(f799,plain,
( sQ28_spl
| ~ leq(pv5,pred(n999)) ),
inference(forward_demodulation,[status(thm)],[f227,f492]) ).
fof(f800,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f799,f531]) ).
fof(f801,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f800]) ).
fof(f802,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f292]) ).
fof(f803,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f802]) ).
fof(f804,plain,
( sQ26_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f291,f486]) ).
fof(f805,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f804]) ).
fof(f806,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f805]) ).
fof(f807,plain,
( sQ25_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f290,f483]) ).
fof(f808,plain,
( sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f807]) ).
fof(f809,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f808]) ).
fof(f810,plain,
( sQ24_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f289,f480]) ).
fof(f811,plain,
( sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f810]) ).
fof(f812,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f811]) ).
fof(f813,plain,
( sQ23_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f288,f477]) ).
fof(f814,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f813]) ).
fof(f815,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f814]) ).
fof(f816,plain,
( sQ22_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f287,f474]) ).
fof(f817,plain,
( sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f816]) ).
fof(f818,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f817]) ).
fof(f819,plain,
( sQ21_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f286,f471]) ).
fof(f820,plain,
( sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f819]) ).
fof(f821,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f820]) ).
fof(f822,plain,
( sQ20_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f285,f468]) ).
fof(f823,plain,
( sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f822]) ).
fof(f824,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f823]) ).
fof(f825,plain,
( sQ19_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f284,f465]) ).
fof(f826,plain,
( sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f825]) ).
fof(f827,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f826]) ).
fof(f828,plain,
( sQ18_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f283,f462]) ).
fof(f829,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f828]) ).
fof(f830,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f829]) ).
fof(f831,plain,
( sQ17_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f282,f459]) ).
fof(f832,plain,
( sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f831]) ).
fof(f833,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f832]) ).
fof(f834,plain,
( sQ16_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f281,f456]) ).
fof(f835,plain,
( sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f834]) ).
fof(f836,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f835]) ).
fof(f837,plain,
( sQ15_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f280,f453]) ).
fof(f838,plain,
( sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f837]) ).
fof(f839,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f838]) ).
fof(f840,plain,
( sQ14_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f279,f450]) ).
fof(f841,plain,
( sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f840]) ).
fof(f842,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f841]) ).
fof(f843,plain,
( sQ13_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f278,f447]) ).
fof(f844,plain,
( sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f843]) ).
fof(f845,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f844]) ).
fof(f846,plain,
( sQ12_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f277,f444]) ).
fof(f847,plain,
( sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f846]) ).
fof(f848,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f847]) ).
fof(f849,plain,
( sQ11_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f276,f441]) ).
fof(f850,plain,
( sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f849]) ).
fof(f851,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f850]) ).
fof(f852,plain,
( sQ10_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f275,f438]) ).
fof(f853,plain,
( sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f852]) ).
fof(f854,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f853]) ).
fof(f855,plain,
( sQ9_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f274,f435]) ).
fof(f856,plain,
( sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f855]) ).
fof(f857,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f856]) ).
fof(f858,plain,
( sQ8_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f273,f432]) ).
fof(f859,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f858]) ).
fof(f860,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f859]) ).
fof(f861,plain,
( sQ7_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f272,f429]) ).
fof(f862,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f861]) ).
fof(f863,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f862]) ).
fof(f864,plain,
( sQ6_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f271,f426]) ).
fof(f865,plain,
( sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f864]) ).
fof(f866,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f865]) ).
fof(f867,plain,
( sQ5_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f270,f423]) ).
fof(f868,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f867]) ).
fof(f869,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f868]) ).
fof(f870,plain,
( sQ4_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f269,f420]) ).
fof(f871,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f870]) ).
fof(f872,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f871]) ).
fof(f873,plain,
( sQ3_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f268,f417]) ).
fof(f874,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f873]) ).
fof(f875,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f874]) ).
fof(f876,plain,
( sQ2_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f267,f414]) ).
fof(f877,plain,
( sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f876]) ).
fof(f878,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f877]) ).
fof(f879,plain,
( sQ1_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f266,f411]) ).
fof(f880,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f879]) ).
fof(f881,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f880]) ).
fof(f882,plain,
( sQ0_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f265,f408]) ).
fof(f883,plain,
( sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f882]) ).
fof(f884,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f883]) ).
fof(f891,plain,
( sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f791,f109]) ).
fof(f892,plain,
sQ71_spl,
inference(contradiction_clause,[status(thm)],[f891]) ).
fof(f893,plain,
( ~ sQ33_spl
| leq(sK26_skl,pred(pv5)) ),
inference(forward_demodulation,[status(thm)],[f227,f509]) ).
fof(f977,definition,
( sQ89_spl
<=> leq(n2,n2) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f979,plain,
( sQ89_spl
| ~ leq(n2,n2) ),
inference(component_clause,[status(thm)],[f977]) ).
fof(f984,definition,
( sQ91_spl
<=> leq(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f986,plain,
( sQ91_spl
| ~ leq(n1,n2) ),
inference(component_clause,[status(thm)],[f984]) ).
fof(f989,plain,
( sQ89_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f979,f109]) ).
fof(f990,plain,
sQ89_spl,
inference(contradiction_clause,[status(thm)],[f989]) ).
fof(f1002,plain,
( ~ sQ29_spl
| a_select3(z_defuse,sK23_skl,sK24_skl) != use
| a_select3(u_defuse,sK23_skl,sK24_skl) != use ),
inference(resolution,[status(thm)],[f395,f494]) ).
fof(f1003,definition,
( sQ93_spl
<=> a_select3(u_defuse,sK23_skl,sK24_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1005,plain,
( sQ93_spl
| a_select3(u_defuse,sK23_skl,sK24_skl) != use ),
inference(component_clause,[status(thm)],[f1003]) ).
fof(f1006,definition,
( sQ94_spl
<=> a_select3(z_defuse,sK23_skl,sK24_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f1008,plain,
( sQ94_spl
| a_select3(z_defuse,sK23_skl,sK24_skl) != use ),
inference(component_clause,[status(thm)],[f1006]) ).
fof(f1009,plain,
( ~ sQ29_spl
| ~ sQ94_spl
| ~ sQ93_spl ),
inference(split_clause,[status(thm)],[f1002,f1003,f1006,f493]) ).
fof(f1027,plain,
( sQ91_spl
| ~ gt(n2,n1) ),
inference(resolution,[status(thm)],[f986,f122]) ).
fof(f1030,plain,
( sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1027,f330]) ).
fof(f1031,plain,
sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1030]) ).
fof(f1092,plain,
( sQ93_spl
| ~ leq(sK24_skl,pv5)
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f1005,f296]) ).
fof(f1093,definition,
( sQ99_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ99_spl])],[split_symbol_definition]) ).
fof(f1095,plain,
( sQ99_spl
| ~ leq(n0,sK23_skl) ),
inference(component_clause,[status(thm)],[f1093]) ).
fof(f1096,definition,
( sQ100_spl
<=> leq(n0,sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ100_spl])],[split_symbol_definition]) ).
fof(f1098,plain,
( sQ100_spl
| ~ leq(n0,sK24_skl) ),
inference(component_clause,[status(thm)],[f1096]) ).
fof(f1099,definition,
( sQ101_spl
<=> leq(sK23_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f1101,plain,
( sQ101_spl
| ~ leq(sK23_skl,n2) ),
inference(component_clause,[status(thm)],[f1099]) ).
fof(f1102,definition,
( sQ102_spl
<=> leq(sK24_skl,pv5) ),
introduced(definition,[new_symbols(definition,[sQ102_spl])],[split_symbol_definition]) ).
fof(f1104,plain,
( sQ102_spl
| ~ leq(sK24_skl,pv5) ),
inference(component_clause,[status(thm)],[f1102]) ).
fof(f1105,plain,
( sQ93_spl
| ~ sQ102_spl
| ~ sQ101_spl
| ~ sQ100_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f1092,f1093,f1096,f1099,f1102,f1003]) ).
fof(f1106,plain,
( sQ94_spl
| ~ leq(sK24_skl,pv5)
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f1008,f297]) ).
fof(f1107,plain,
( sQ94_spl
| ~ sQ102_spl
| ~ sQ101_spl
| ~ sQ100_spl
| ~ sQ99_spl ),
inference(split_clause,[status(thm)],[f1106,f1093,f1096,f1099,f1102,f1006]) ).
fof(f1223,definition,
( sQ110_spl
<=> leq(pv5,pv5) ),
introduced(definition,[new_symbols(definition,[sQ110_spl])],[split_symbol_definition]) ).
fof(f1225,plain,
( sQ110_spl
| ~ leq(pv5,pv5) ),
inference(component_clause,[status(thm)],[f1223]) ).
fof(f1252,plain,
( sQ110_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1225,f109]) ).
fof(f1253,plain,
sQ110_spl,
inference(contradiction_clause,[status(thm)],[f1252]) ).
fof(f1363,plain,
! [X0] :
( sQ101_spl
| ~ sP3_prd(X0,sK23_skl) ),
inference(resolution,[status(thm)],[f1101,f393]) ).
fof(f1368,plain,
( ~ sQ29_spl
| sQ101_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f494,f1363]) ).
fof(f1369,plain,
( ~ sQ29_spl
| sQ101_spl ),
inference(contradiction_clause,[status(thm)],[f1368]) ).
fof(f1370,plain,
! [X0] :
( sQ100_spl
| ~ sP3_prd(sK24_skl,X0) ),
inference(resolution,[status(thm)],[f1098,f392]) ).
fof(f1377,plain,
( ~ sQ29_spl
| sQ100_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f494,f1370]) ).
fof(f1378,plain,
( ~ sQ29_spl
| sQ100_spl ),
inference(contradiction_clause,[status(thm)],[f1377]) ).
fof(f1380,plain,
! [X0] :
( sQ99_spl
| ~ sP3_prd(X0,sK23_skl) ),
inference(resolution,[status(thm)],[f1095,f391]) ).
fof(f1386,plain,
( ~ sQ29_spl
| sQ99_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f494,f1380]) ).
fof(f1387,plain,
( ~ sQ29_spl
| sQ99_spl ),
inference(contradiction_clause,[status(thm)],[f1386]) ).
fof(f1505,plain,
! [X0] :
( sQ102_spl
| ~ sP3_prd(sK24_skl,X0) ),
inference(resolution,[status(thm)],[f1104,f394]) ).
fof(f1510,plain,
( ~ sQ29_spl
| sQ102_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f494,f1505]) ).
fof(f1511,plain,
( ~ sQ29_spl
| sQ102_spl ),
inference(contradiction_clause,[status(thm)],[f1510]) ).
fof(f1523,plain,
( sQ34_spl
| ~ leq(sK26_skl,pred(pv5))
| ~ leq(sK25_skl,n2)
| ~ leq(n0,sK26_skl)
| ~ leq(n0,sK25_skl) ),
inference(resolution,[status(thm)],[f514,f533]) ).
fof(f1525,definition,
( sQ130_spl
<=> leq(sK26_skl,pred(pv5)) ),
introduced(definition,[new_symbols(definition,[sQ130_spl])],[split_symbol_definition]) ).
fof(f1527,plain,
( sQ130_spl
| ~ leq(sK26_skl,pred(pv5)) ),
inference(component_clause,[status(thm)],[f1525]) ).
fof(f1528,plain,
( sQ34_spl
| ~ sQ130_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1523,f496,f500,f504,f1525,f512]) ).
fof(f1529,plain,
( sQ130_spl
| ~ sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1527,f893]) ).
fof(f1530,plain,
( sQ130_spl
| ~ sQ33_spl ),
inference(contradiction_clause,[status(thm)],[f1529]) ).
fof(f1536,plain,
( sQ35_spl
| ~ leq(sK26_skl,pred(pv5))
| ~ leq(sK25_skl,n2)
| ~ leq(n0,sK26_skl)
| ~ leq(n0,sK25_skl) ),
inference(resolution,[status(thm)],[f517,f534]) ).
fof(f1538,plain,
( sQ35_spl
| ~ sQ130_spl
| ~ sQ32_spl
| ~ sQ31_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f1536,f496,f500,f504,f1525,f515]) ).
fof(f1539,plain,
$false,
inference(sat_refutation,[status(thm)],[f499,f503,f507,f511,f518,f801,f803,f806,f809,f812,f815,f818,f821,f824,f827,f830,f833,f836,f839,f842,f845,f848,f851,f854,f857,f860,f863,f866,f869,f872,f875,f878,f881,f884,f892,f990,f1009,f1031,f1105,f1107,f1253,f1369,f1378,f1387,f1511,f1528,f1530,f1538]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV093+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/15.52 % Computer : n008.cluster.edu
% 0.10/15.52 % Model : x86_64 x86_64
% 0.10/15.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/15.52 % Memory : 8046.5625MB
% 0.10/15.52 % OS : Linux 6.8.0-71-generic
% 0.10/15.52 % CPULimit : 300
% 0.10/15.52 % WCLimit : 300
% 0.10/15.52 % DateTime : Mon Sep 21 08:31:42 UTC 2026
% 0.10/15.53 % CPUTime :
% 0.10/15.55 % Drodi V4.1.1
% 0.14/15.73 % Refutation found
% 0.14/15.73 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/15.73 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/15.75 % Elapsed time: 0.218507 seconds
% 0.14/15.75 % CPU time: 1.467011 seconds
% 0.14/15.75 % Total memory used: 131.385 MB
% 0.14/15.75 % Net memory used: 129.027 MB
%------------------------------------------------------------------------------