%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV099+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 : n020.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 02:46:38 PM UTC 2026
% Result : Theorem 0.16s 5.58s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 42
% Syntax : Number of formulae : 227 ( 67 unt; 39 def)
% Number of atoms : 966 ( 487 equ)
% Maximal formula atoms : 70 ( 4 avg)
% Number of connectives : 1203 ( 464 ~; 492 |; 202 &)
% ( 39 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 68 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 40 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-3 aty)
% Number of variables : 26 ( 24 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] : leq(X,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(f53,conjecture,
( ( ! [A,B] :
( ( leq(B,minus(pv5,n1))
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> ( a_select3(z_defuse,A,B) = use
& a_select3(u_defuse,A,B) = 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 )
=> ( ! [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 ) )
& 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,
~ ( ( ! [A,B] :
( ( leq(B,minus(pv5,n1))
& leq(A,n2)
& leq(n0,B)
& leq(n0,A) )
=> ( a_select3(z_defuse,A,B) = use
& a_select3(u_defuse,A,B) = 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 )
=> ( ! [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 ) )
& 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(f99,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f217,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f251,plain,
( ( ? [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) )
| ~ 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 )
& ! [A,B] :
( ( a_select3(z_defuse,A,B) = use
& a_select3(u_defuse,A,B) = use )
| ~ leq(B,minus(pv5,n1))
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& 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(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f252,plain,
( ( ( ( a_select3(z_defuse,sK23_skl,sK24_skl) != use
| a_select3(u_defuse,sK23_skl,sK24_skl) != use )
& leq(sK24_skl,minus(pv5,n1))
& leq(sK23_skl,n2)
& leq(n0,sK24_skl)
& leq(n0,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 )
& ! [A,B] :
( ( a_select3(z_defuse,A,B) = use
& a_select3(u_defuse,A,B) = use )
| ~ leq(B,minus(pv5,n1))
| ~ leq(A,n2)
| ~ leq(n0,B)
| ~ leq(n0,A) )
& 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(skolemize,[status(esa),new_symbols(skolem,[sK23_skl,sK24_skl]),skolemize(C,sK23_skl),skolemize(D,sK24_skl)],[f251]) ).
fof(f253,plain,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f256,plain,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f257,plain,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f258,plain,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f259,plain,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f260,plain,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f261,plain,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f262,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f263,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f264,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f265,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f266,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f267,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f268,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f269,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f270,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f271,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f272,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f273,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f274,plain,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f275,plain,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f276,plain,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f277,plain,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f278,plain,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f279,plain,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f280,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f281,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f282,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)],[f252]) ).
fof(f283,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)],[f252]) ).
fof(f284,plain,
( leq(n0,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)],[f252]) ).
fof(f285,plain,
( leq(n0,sK24_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)],[f252]) ).
fof(f286,plain,
( leq(sK23_skl,n2)
| ~ 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)],[f252]) ).
fof(f287,plain,
( leq(sK24_skl,minus(pv5,n1))
| ~ 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)],[f252]) ).
fof(f288,plain,
( a_select3(z_defuse,sK23_skl,sK24_skl) != use
| a_select3(u_defuse,sK23_skl,sK24_skl) != 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(cnf_transformation,[status(thm)],[f252]) ).
fof(f370,definition,
( sQ0_spl
<=> a_select2(rho_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( sQ0_spl
| a_select2(rho_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f370]) ).
fof(f373,definition,
( sQ1_spl
<=> a_select2(rho_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f375,plain,
( sQ1_spl
| a_select2(rho_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ2_spl
<=> a_select2(rho_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( sQ2_spl
| a_select2(rho_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f376]) ).
fof(f379,definition,
( sQ3_spl
<=> a_select2(sigma_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( sQ3_spl
| a_select2(sigma_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f379]) ).
fof(f382,definition,
( sQ4_spl
<=> a_select2(sigma_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( sQ4_spl
| a_select2(sigma_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f382]) ).
fof(f385,definition,
( sQ5_spl
<=> a_select2(sigma_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f387,plain,
( sQ5_spl
| a_select2(sigma_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f385]) ).
fof(f388,definition,
( sQ6_spl
<=> a_select2(sigma_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f390,plain,
( sQ6_spl
| a_select2(sigma_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,definition,
( sQ7_spl
<=> a_select2(sigma_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( sQ7_spl
| a_select2(sigma_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,definition,
( sQ8_spl
<=> a_select2(sigma_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f396,plain,
( sQ8_spl
| a_select2(sigma_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
( sQ9_spl
<=> a_select3(u_defuse,n0,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f399,plain,
( sQ9_spl
| a_select3(u_defuse,n0,n0) != use ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,definition,
( sQ10_spl
<=> a_select3(u_defuse,n1,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f402,plain,
( sQ10_spl
| a_select3(u_defuse,n1,n0) != use ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,definition,
( sQ11_spl
<=> a_select3(u_defuse,n2,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f405,plain,
( sQ11_spl
| a_select3(u_defuse,n2,n0) != use ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,definition,
( sQ12_spl
<=> a_select2(xinit_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f408,plain,
( sQ12_spl
| a_select2(xinit_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,definition,
( sQ13_spl
<=> a_select2(xinit_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f411,plain,
( sQ13_spl
| a_select2(xinit_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,definition,
( sQ14_spl
<=> a_select2(xinit_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f414,plain,
( sQ14_spl
| a_select2(xinit_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,definition,
( sQ15_spl
<=> a_select2(xinit_mean_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f417,plain,
( sQ15_spl
| a_select2(xinit_mean_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,definition,
( sQ16_spl
<=> a_select2(xinit_mean_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f420,plain,
( sQ16_spl
| a_select2(xinit_mean_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,definition,
( sQ17_spl
<=> a_select2(xinit_mean_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f423,plain,
( sQ17_spl
| a_select2(xinit_mean_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,definition,
( sQ18_spl
<=> a_select2(xinit_mean_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f426,plain,
( sQ18_spl
| a_select2(xinit_mean_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,definition,
( sQ19_spl
<=> a_select2(xinit_mean_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f429,plain,
( sQ19_spl
| a_select2(xinit_mean_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,definition,
( sQ20_spl
<=> a_select2(xinit_mean_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f432,plain,
( sQ20_spl
| a_select2(xinit_mean_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,definition,
( sQ21_spl
<=> a_select2(xinit_noise_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f435,plain,
( sQ21_spl
| a_select2(xinit_noise_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,definition,
( sQ22_spl
<=> a_select2(xinit_noise_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f438,plain,
( sQ22_spl
| a_select2(xinit_noise_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,definition,
( sQ23_spl
<=> a_select2(xinit_noise_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( sQ23_spl
| a_select2(xinit_noise_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,definition,
( sQ24_spl
<=> a_select2(xinit_noise_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( sQ24_spl
| a_select2(xinit_noise_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,definition,
( sQ25_spl
<=> a_select2(xinit_noise_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( sQ25_spl
| a_select2(xinit_noise_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,definition,
( sQ26_spl
<=> a_select2(xinit_noise_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f450,plain,
( sQ26_spl
| a_select2(xinit_noise_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,definition,
( sQ27_spl
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f453,plain,
( sQ27_spl
| ~ leq(n0,pv5) ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,definition,
( sQ28_spl
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( sQ28_spl
| ~ leq(pv5,minus(n999,n1)) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,definition,
( sQ29_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( 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)],[f284,f370,f373,f376,f379,f382,f385,f388,f391,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457]) ).
fof(f461,definition,
( sQ30_spl
<=> leq(n0,sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( sQ30_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)],[f285,f370,f373,f376,f379,f382,f385,f388,f391,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f461]) ).
fof(f465,definition,
( sQ31_spl
<=> leq(sK23_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f468,plain,
( sQ31_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)],[f286,f370,f373,f376,f379,f382,f385,f388,f391,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f465]) ).
fof(f469,definition,
( sQ32_spl
<=> leq(sK24_skl,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( ~ sQ32_spl
| leq(sK24_skl,minus(pv5,n1)) ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( sQ32_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)],[f287,f370,f373,f376,f379,f382,f385,f388,f391,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f469]) ).
fof(f473,definition,
( sQ33_spl
<=> a_select3(u_defuse,sK23_skl,sK24_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f475,plain,
( sQ33_spl
| a_select3(u_defuse,sK23_skl,sK24_skl) != use ),
inference(component_clause,[status(thm)],[f473]) ).
fof(f476,definition,
( sQ34_spl
<=> a_select3(z_defuse,sK23_skl,sK24_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f478,plain,
( sQ34_spl
| a_select3(z_defuse,sK23_skl,sK24_skl) != use ),
inference(component_clause,[status(thm)],[f476]) ).
fof(f479,plain,
( ~ sQ34_spl
| ~ sQ33_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)],[f288,f370,f373,f376,f379,f382,f385,f388,f391,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f473,f476]) ).
fof(f492,plain,
leq(pv5,pred(n999)),
inference(forward_demodulation,[status(thm)],[f217,f281]) ).
fof(f493,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)],[f217,f282]) ).
fof(f494,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)],[f217,f283]) ).
fof(f502,plain,
( sQ28_spl
| ~ leq(pv5,pred(n999)) ),
inference(forward_demodulation,[status(thm)],[f217,f456]) ).
fof(f503,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f502,f492]) ).
fof(f504,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f453,f280]) ).
fof(f506,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f505]) ).
fof(f508,plain,
( sQ26_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f279,f450]) ).
fof(f509,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f508]) ).
fof(f510,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( sQ25_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f278,f447]) ).
fof(f512,plain,
( sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f511]) ).
fof(f513,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( sQ24_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f277,f444]) ).
fof(f515,plain,
( sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f514]) ).
fof(f516,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( sQ23_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f276,f441]) ).
fof(f518,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f517]) ).
fof(f519,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( sQ22_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f275,f438]) ).
fof(f521,plain,
( sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f520]) ).
fof(f522,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( sQ21_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f274,f435]) ).
fof(f524,plain,
( sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f523]) ).
fof(f525,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( sQ20_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f273,f432]) ).
fof(f527,plain,
( sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f526]) ).
fof(f528,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f527]) ).
fof(f529,plain,
( sQ19_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f272,f429]) ).
fof(f530,plain,
( sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f529]) ).
fof(f531,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( sQ18_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f271,f426]) ).
fof(f533,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f532]) ).
fof(f534,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f533]) ).
fof(f535,plain,
( sQ17_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f270,f423]) ).
fof(f536,plain,
( sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f535]) ).
fof(f537,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( sQ16_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f269,f420]) ).
fof(f539,plain,
( sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f538]) ).
fof(f540,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( sQ15_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f268,f417]) ).
fof(f542,plain,
( sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f541]) ).
fof(f543,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( sQ14_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f267,f414]) ).
fof(f545,plain,
( sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f544]) ).
fof(f546,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( sQ13_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f266,f411]) ).
fof(f548,plain,
( sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f547]) ).
fof(f549,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f548]) ).
fof(f550,plain,
( sQ12_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f265,f408]) ).
fof(f551,plain,
( sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f550]) ).
fof(f552,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( sQ11_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f264,f405]) ).
fof(f554,plain,
( sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f553]) ).
fof(f555,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( sQ10_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f263,f402]) ).
fof(f557,plain,
( sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f556]) ).
fof(f558,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f559,plain,
( sQ9_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f262,f399]) ).
fof(f560,plain,
( sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f559]) ).
fof(f561,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( sQ8_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f261,f396]) ).
fof(f563,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f562]) ).
fof(f564,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f563]) ).
fof(f565,plain,
( sQ7_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f260,f393]) ).
fof(f566,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f565]) ).
fof(f567,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f566]) ).
fof(f568,plain,
( sQ6_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f259,f390]) ).
fof(f569,plain,
( sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f568]) ).
fof(f570,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f569]) ).
fof(f571,plain,
( sQ5_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f258,f387]) ).
fof(f572,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f571]) ).
fof(f573,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f572]) ).
fof(f574,plain,
( sQ4_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f257,f384]) ).
fof(f575,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f574]) ).
fof(f576,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ3_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f256,f381]) ).
fof(f578,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f577]) ).
fof(f579,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( sQ2_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f255,f378]) ).
fof(f581,plain,
( sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f580]) ).
fof(f582,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f581]) ).
fof(f583,plain,
( sQ1_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f254,f375]) ).
fof(f584,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f583]) ).
fof(f585,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f584]) ).
fof(f586,plain,
( sQ0_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f253,f372]) ).
fof(f587,plain,
( sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f586]) ).
fof(f588,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f587]) ).
fof(f589,plain,
( ~ sQ32_spl
| leq(sK24_skl,pred(pv5)) ),
inference(forward_demodulation,[status(thm)],[f217,f470]) ).
fof(f760,definition,
( sQ60_spl
<=> leq(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f762,plain,
( sQ60_spl
| ~ leq(n0,n0) ),
inference(component_clause,[status(thm)],[f760]) ).
fof(f770,plain,
( sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f762,f99]) ).
fof(f771,plain,
sQ60_spl,
inference(contradiction_clause,[status(thm)],[f770]) ).
fof(f778,definition,
( sQ64_spl
<=> leq(n3,n3) ),
introduced(definition,[new_symbols(definition,[sQ64_spl])],[split_symbol_definition]) ).
fof(f780,plain,
( sQ64_spl
| ~ leq(n3,n3) ),
inference(component_clause,[status(thm)],[f778]) ).
fof(f786,plain,
( sQ64_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f780,f99]) ).
fof(f787,plain,
sQ64_spl,
inference(contradiction_clause,[status(thm)],[f786]) ).
fof(f824,plain,
( sQ33_spl
| ~ leq(sK24_skl,pred(pv5))
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f493,f475]) ).
fof(f828,definition,
( sQ71_spl
<=> leq(sK24_skl,pred(pv5)) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( sQ71_spl
| ~ leq(sK24_skl,pred(pv5)) ),
inference(component_clause,[status(thm)],[f828]) ).
fof(f831,plain,
( sQ33_spl
| ~ sQ71_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f824,f457,f461,f465,f828,f473]) ).
fof(f835,definition,
( sQ73_spl
<=> leq(n2,n2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( sQ73_spl
| ~ leq(n2,n2) ),
inference(component_clause,[status(thm)],[f835]) ).
fof(f850,plain,
( sQ71_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f830,f589]) ).
fof(f851,plain,
( sQ71_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f850]) ).
fof(f852,plain,
( sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f99]) ).
fof(f853,plain,
sQ73_spl,
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f854,plain,
( sQ34_spl
| ~ leq(sK24_skl,pred(pv5))
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f478,f494]) ).
fof(f855,plain,
( sQ34_spl
| ~ sQ71_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f854,f457,f461,f465,f828,f476]) ).
fof(f856,plain,
$false,
inference(sat_refutation,[status(thm)],[f460,f464,f468,f472,f479,f504,f506,f510,f513,f516,f519,f522,f525,f528,f531,f534,f537,f540,f543,f546,f549,f552,f555,f558,f561,f564,f567,f570,f573,f576,f579,f582,f585,f588,f771,f787,f831,f851,f853,f855]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV099+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/5.38 % Computer : n020.cluster.edu
% 0.12/5.38 % Model : x86_64 x86_64
% 0.12/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/5.38 % Memory : 8046.5625MB
% 0.12/5.38 % OS : Linux 6.8.0-71-generic
% 0.12/5.39 % CPULimit : 300
% 0.12/5.39 % WCLimit : 300
% 0.12/5.39 % DateTime : Mon Sep 21 08:31:39 UTC 2026
% 0.12/5.39 % CPUTime :
% 0.16/5.41 % Drodi V4.1.1
% 0.16/5.58 % Refutation found
% 0.16/5.58 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/5.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/5.61 % Elapsed time: 0.199775 seconds
% 0.16/5.61 % CPU time: 1.208721 seconds
% 0.16/5.61 % Total memory used: 122.274 MB
% 0.16/5.61 % Net memory used: 120.793 MB
%------------------------------------------------------------------------------