%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV098+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 : n005.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 0.14s 10.50s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 48
% Syntax : Number of formulae : 241 ( 74 unt; 40 def)
% Number of atoms : 977 ( 497 equ)
% Maximal formula atoms : 74 ( 4 avg)
% Number of connectives : 1182 ( 446 ~; 475 |; 212 &)
% ( 40 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 67 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 44 ( 42 usr; 41 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 18 con; 0-3 aty)
% Number of variables : 40 ( 38 !; 2 ?)
% 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(f30,axiom,
! [X] : plus(n1,X) = succ(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(f40,axiom,
! [X] : pred(succ(X)) = 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(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 )
=> ( ! [E,F] :
( ( leq(F,minus(plus(n1,pv5),n1))
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( a_select3(z_defuse,E,F) = use
& a_select3(u_defuse,E,F) = use ) )
& 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(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 )
=> ( ! [E,F] :
( ( leq(F,minus(plus(n1,pv5),n1))
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
=> ( a_select3(z_defuse,E,F) = use
& a_select3(u_defuse,E,F) = use ) )
& 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(f69,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f111,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f112,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f208,plain,
! [X0] : plus(n1,X0) = succ(X0),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f217,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f218,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f251,plain,
( ( ? [E,F] :
( ( a_select3(z_defuse,E,F) != use
| a_select3(u_defuse,E,F) != use )
& leq(F,minus(plus(n1,pv5),n1))
& leq(E,n2)
& leq(n0,F)
& leq(n0,E) )
| 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(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(plus(n1,pv5),n1))
& leq(sK23_skl,n2)
& leq(n0,sK24_skl)
& leq(n0,sK23_skl) )
| 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(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(E,sK23_skl),skolemize(F,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(f282,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)],[f252]) ).
fof(f283,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)],[f252]) ).
fof(f286,plain,
( leq(n0,sK23_skl)
| 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(n0,sK24_skl)
| 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,
( leq(sK23_skl,n2)
| 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(f289,plain,
( leq(sK24_skl,minus(plus(n1,pv5),n1))
| 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(f290,plain,
( a_select3(z_defuse,sK23_skl,sK24_skl) != use
| a_select3(u_defuse,sK23_skl,sK24_skl) != use
| 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(f305,plain,
gt(n2,n0),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f310,plain,
gt(n2,n1),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f372,definition,
( sQ0_spl
<=> a_select2(rho_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f374,plain,
( sQ0_spl
| a_select2(rho_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f372]) ).
fof(f375,definition,
( sQ1_spl
<=> a_select2(rho_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f377,plain,
( sQ1_spl
| a_select2(rho_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f375]) ).
fof(f378,definition,
( sQ2_spl
<=> a_select2(rho_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f380,plain,
( sQ2_spl
| a_select2(rho_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f378]) ).
fof(f381,definition,
( sQ3_spl
<=> a_select2(sigma_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f383,plain,
( sQ3_spl
| a_select2(sigma_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f381]) ).
fof(f384,definition,
( sQ4_spl
<=> a_select2(sigma_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( sQ4_spl
| a_select2(sigma_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f384]) ).
fof(f387,definition,
( sQ5_spl
<=> a_select2(sigma_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ5_spl
| a_select2(sigma_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
( sQ6_spl
<=> a_select2(sigma_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f392,plain,
( sQ6_spl
| a_select2(sigma_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f390]) ).
fof(f393,definition,
( sQ7_spl
<=> a_select2(sigma_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( sQ7_spl
| a_select2(sigma_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ8_spl
<=> a_select2(sigma_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( sQ8_spl
| a_select2(sigma_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ9_spl
<=> a_select3(u_defuse,n0,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ9_spl
| a_select3(u_defuse,n0,n0) != use ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ10_spl
<=> a_select3(u_defuse,n1,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( sQ10_spl
| a_select3(u_defuse,n1,n0) != use ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ11_spl
<=> a_select3(u_defuse,n2,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( sQ11_spl
| a_select3(u_defuse,n2,n0) != use ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ12_spl
<=> a_select2(xinit_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( sQ12_spl
| a_select2(xinit_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ13_spl
<=> a_select2(xinit_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( sQ13_spl
| a_select2(xinit_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ14_spl
<=> a_select2(xinit_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( sQ14_spl
| a_select2(xinit_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ15_spl
<=> a_select2(xinit_mean_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( sQ15_spl
| a_select2(xinit_mean_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ16_spl
<=> a_select2(xinit_mean_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ16_spl
| a_select2(xinit_mean_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ17_spl
<=> a_select2(xinit_mean_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( sQ17_spl
| a_select2(xinit_mean_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ18_spl
<=> a_select2(xinit_mean_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ18_spl
| a_select2(xinit_mean_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ19_spl
<=> a_select2(xinit_mean_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( sQ19_spl
| a_select2(xinit_mean_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ20_spl
<=> a_select2(xinit_mean_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ20_spl
| a_select2(xinit_mean_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ21_spl
<=> a_select2(xinit_noise_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( sQ21_spl
| a_select2(xinit_noise_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ22_spl
<=> a_select2(xinit_noise_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( sQ22_spl
| a_select2(xinit_noise_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ23_spl
<=> a_select2(xinit_noise_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ23_spl
| a_select2(xinit_noise_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ24_spl
<=> a_select2(xinit_noise_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ24_spl
| a_select2(xinit_noise_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ25_spl
<=> a_select2(xinit_noise_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ25_spl
| a_select2(xinit_noise_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ26_spl
<=> a_select2(xinit_noise_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ26_spl
| a_select2(xinit_noise_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ27_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f456,plain,
( 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,f372,f375,f378,f381,f384,f387,f390,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453]) ).
fof(f457,definition,
( sQ28_spl
<=> leq(n0,sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f460,plain,
( sQ28_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,f372,f375,f378,f381,f384,f387,f390,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f457]) ).
fof(f461,definition,
( sQ29_spl
<=> leq(sK23_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( sQ29_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,f372,f375,f378,f381,f384,f387,f390,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f461]) ).
fof(f465,definition,
( sQ30_spl
<=> leq(sK24_skl,minus(plus(n1,pv5),n1)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ30_spl
| leq(sK24_skl,minus(plus(n1,pv5),n1)) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,plain,
( sQ30_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)],[f289,f372,f375,f378,f381,f384,f387,f390,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f465]) ).
fof(f469,definition,
( sQ31_spl
<=> a_select3(u_defuse,sK23_skl,sK24_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f471,plain,
( sQ31_spl
| a_select3(u_defuse,sK23_skl,sK24_skl) != use ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,definition,
( sQ32_spl
<=> a_select3(z_defuse,sK23_skl,sK24_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f474,plain,
( sQ32_spl
| a_select3(z_defuse,sK23_skl,sK24_skl) != use ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( ~ sQ32_spl
| ~ sQ31_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)],[f290,f372,f375,f378,f381,f384,f387,f390,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f469,f472]) ).
fof(f498,plain,
( sQ26_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f279,f452]) ).
fof(f499,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f498]) ).
fof(f500,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f499]) ).
fof(f501,plain,
( sQ25_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f278,f449]) ).
fof(f502,plain,
( sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f501]) ).
fof(f503,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ24_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f277,f446]) ).
fof(f505,plain,
( sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f504]) ).
fof(f506,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f505]) ).
fof(f507,plain,
( sQ23_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f276,f443]) ).
fof(f508,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f507]) ).
fof(f509,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f508]) ).
fof(f510,plain,
( sQ22_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f275,f440]) ).
fof(f511,plain,
( sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f510]) ).
fof(f512,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f511]) ).
fof(f513,plain,
( sQ21_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f274,f437]) ).
fof(f514,plain,
( sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f513]) ).
fof(f515,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f514]) ).
fof(f516,plain,
( sQ20_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f273,f434]) ).
fof(f517,plain,
( sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f516]) ).
fof(f518,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f517]) ).
fof(f519,plain,
( sQ19_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f272,f431]) ).
fof(f520,plain,
( sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f519]) ).
fof(f521,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ18_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f271,f428]) ).
fof(f523,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f522]) ).
fof(f524,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f523]) ).
fof(f525,plain,
( sQ17_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f270,f425]) ).
fof(f526,plain,
( sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f525]) ).
fof(f527,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f526]) ).
fof(f528,plain,
( sQ16_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f269,f422]) ).
fof(f529,plain,
( sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f528]) ).
fof(f530,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f529]) ).
fof(f531,plain,
( sQ15_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f268,f419]) ).
fof(f532,plain,
( sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f531]) ).
fof(f533,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f532]) ).
fof(f534,plain,
( sQ14_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f267,f416]) ).
fof(f535,plain,
( sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f534]) ).
fof(f536,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f535]) ).
fof(f537,plain,
( sQ13_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f266,f413]) ).
fof(f538,plain,
( sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f537]) ).
fof(f539,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f540,plain,
( sQ12_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f265,f410]) ).
fof(f541,plain,
( sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f540]) ).
fof(f542,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( sQ11_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f264,f407]) ).
fof(f544,plain,
( sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f543]) ).
fof(f545,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f544]) ).
fof(f546,plain,
( sQ10_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f263,f404]) ).
fof(f547,plain,
( sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f546]) ).
fof(f548,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f547]) ).
fof(f549,plain,
( sQ9_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f262,f401]) ).
fof(f550,plain,
( sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f549]) ).
fof(f551,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ8_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f261,f398]) ).
fof(f553,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f552]) ).
fof(f554,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( sQ7_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f260,f395]) ).
fof(f556,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f555]) ).
fof(f557,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( sQ6_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f259,f392]) ).
fof(f559,plain,
( sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f558]) ).
fof(f560,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f561,plain,
( sQ5_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f258,f389]) ).
fof(f562,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f561]) ).
fof(f563,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f564,plain,
( sQ4_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f257,f386]) ).
fof(f565,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f564]) ).
fof(f566,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f567,plain,
( sQ3_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f256,f383]) ).
fof(f568,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f567]) ).
fof(f569,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ2_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f255,f380]) ).
fof(f571,plain,
( sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f570]) ).
fof(f572,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ1_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f254,f377]) ).
fof(f574,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f573]) ).
fof(f575,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( sQ0_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f253,f374]) ).
fof(f577,plain,
( sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f576]) ).
fof(f578,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( ~ sQ30_spl
| leq(sK24_skl,pred(plus(n1,pv5))) ),
inference(forward_demodulation,[status(thm)],[f217,f466]) ).
fof(f580,plain,
( ~ sQ30_spl
| leq(sK24_skl,pred(succ(pv5))) ),
inference(forward_demodulation,[status(thm)],[f208,f579]) ).
fof(f581,plain,
( ~ sQ30_spl
| leq(sK24_skl,pv5) ),
inference(forward_demodulation,[status(thm)],[f218,f580]) ).
fof(f752,definition,
( sQ58_spl
<=> leq(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f754,plain,
( sQ58_spl
| ~ leq(n0,n0) ),
inference(component_clause,[status(thm)],[f752]) ).
fof(f762,plain,
( sQ58_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f754,f99]) ).
fof(f763,plain,
sQ58_spl,
inference(contradiction_clause,[status(thm)],[f762]) ).
fof(f774,definition,
( sQ62_spl
<=> leq(n3,n3) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f776,plain,
( sQ62_spl
| ~ leq(n3,n3) ),
inference(component_clause,[status(thm)],[f774]) ).
fof(f782,plain,
( sQ62_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f776,f99]) ).
fof(f783,plain,
sQ62_spl,
inference(contradiction_clause,[status(thm)],[f782]) ).
fof(f834,definition,
( sQ69_spl
<=> leq(n0,n2) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f836,plain,
( sQ69_spl
| ~ leq(n0,n2) ),
inference(component_clause,[status(thm)],[f834]) ).
fof(f837,definition,
( sQ70_spl
<=> leq(n2,n2) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f839,plain,
( sQ70_spl
| ~ leq(n2,n2) ),
inference(component_clause,[status(thm)],[f837]) ).
fof(f840,definition,
( sQ71_spl
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f842,plain,
( sQ71_spl
| ~ leq(n0,pv5) ),
inference(component_clause,[status(thm)],[f840]) ).
fof(f847,definition,
( sQ73_spl
<=> leq(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ73_spl])],[split_symbol_definition]) ).
fof(f849,plain,
( sQ73_spl
| ~ leq(n1,n2) ),
inference(component_clause,[status(thm)],[f847]) ).
fof(f852,plain,
( sQ71_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f842,f280]) ).
fof(f853,plain,
sQ71_spl,
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f854,plain,
( sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f839,f99]) ).
fof(f855,plain,
sQ70_spl,
inference(contradiction_clause,[status(thm)],[f854]) ).
fof(f856,plain,
( sQ69_spl
| ~ gt(n2,n0) ),
inference(resolution,[status(thm)],[f836,f112]) ).
fof(f859,plain,
( sQ69_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f856,f305]) ).
fof(f860,plain,
sQ69_spl,
inference(contradiction_clause,[status(thm)],[f859]) ).
fof(f861,plain,
( sQ73_spl
| ~ gt(n2,n1) ),
inference(resolution,[status(thm)],[f849,f112]) ).
fof(f864,plain,
( sQ73_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f861,f310]) ).
fof(f865,plain,
sQ73_spl,
inference(contradiction_clause,[status(thm)],[f864]) ).
fof(f866,plain,
( sQ31_spl
| ~ leq(sK24_skl,pv5)
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f471,f282]) ).
fof(f867,definition,
( sQ74_spl
<=> leq(sK24_skl,pv5) ),
introduced(definition,[new_symbols(definition,[sQ74_spl])],[split_symbol_definition]) ).
fof(f869,plain,
( sQ74_spl
| ~ leq(sK24_skl,pv5) ),
inference(component_clause,[status(thm)],[f867]) ).
fof(f870,plain,
( sQ31_spl
| ~ sQ74_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f866,f453,f457,f461,f867,f469]) ).
fof(f871,plain,
( sQ74_spl
| ~ sQ30_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f869,f581]) ).
fof(f872,plain,
( sQ74_spl
| ~ sQ30_spl ),
inference(contradiction_clause,[status(thm)],[f871]) ).
fof(f875,plain,
( sQ32_spl
| ~ leq(sK24_skl,pv5)
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f283,f474]) ).
fof(f876,plain,
( sQ32_spl
| ~ sQ74_spl
| ~ sQ29_spl
| ~ sQ28_spl
| ~ sQ27_spl ),
inference(split_clause,[status(thm)],[f875,f453,f457,f461,f867,f472]) ).
fof(f877,plain,
$false,
inference(sat_refutation,[status(thm)],[f456,f460,f464,f468,f475,f500,f503,f506,f509,f512,f515,f518,f521,f524,f527,f530,f533,f536,f539,f542,f545,f548,f551,f554,f557,f560,f563,f566,f569,f572,f575,f578,f763,f783,f853,f855,f860,f865,f870,f872,f876]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV098+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n005.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 08:30:43 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.14/10.40 % Drodi V4.1.1
% 0.14/10.50 % Refutation found
% 0.14/10.50 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/10.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/10.52 % Elapsed time: 0.132317 seconds
% 0.14/10.52 % CPU time: 0.726850 seconds
% 0.14/10.52 % Total memory used: 120.935 MB
% 0.14/10.52 % Net memory used: 119.657 MB
%------------------------------------------------------------------------------