%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV096+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 0.15s 5.90s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 44
% Syntax : Number of formulae : 233 ( 69 unt; 39 def)
% Number of atoms : 984 ( 487 equ)
% Maximal formula atoms : 72 ( 4 avg)
% Number of connectives : 1218 ( 467 ~; 495 |; 210 &)
% ( 39 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 70 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 43 ( 41 usr; 40 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 20 con; 0-3 aty)
% Number of variables : 32 ( 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [X] : minus(X,n1) = pred(X),
file('/export/starexec/sandbox2/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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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/sandbox2/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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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(f80,axiom,
gt(n2,n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f109,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f121,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f122,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f121]) ).
fof(f227,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f261,plain,
( ( ? [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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& leq(n0,pv5)
& a_select2(xinit_noise_defuse,n5) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ),
inference(pre_NNF_transformation,[status(thm)],[f54]) ).
fof(f262,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(pv51,minus(n6,n1))
& leq(pv5,minus(n999,n1))
& leq(n0,pv51)
& 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)],[f261]) ).
fof(f263,plain,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f264,plain,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f265,plain,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f266,plain,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f267,plain,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f268,plain,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f269,plain,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f270,plain,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f271,plain,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f272,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f273,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f274,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f275,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f276,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f277,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f278,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f279,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f280,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f281,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f282,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f283,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f284,plain,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f285,plain,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f286,plain,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f287,plain,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f288,plain,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f289,plain,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f290,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f292,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f294,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)],[f262]) ).
fof(f295,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)],[f262]) ).
fof(f296,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)],[f262]) ).
fof(f297,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)],[f262]) ).
fof(f298,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)],[f262]) ).
fof(f299,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)],[f262]) ).
fof(f300,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)],[f262]) ).
fof(f326,plain,
gt(n2,n1),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f393,definition,
( sQ0_spl
<=> a_select2(rho_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( sQ0_spl
| a_select2(rho_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f393]) ).
fof(f396,definition,
( sQ1_spl
<=> a_select2(rho_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( sQ1_spl
| a_select2(rho_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f396]) ).
fof(f399,definition,
( sQ2_spl
<=> a_select2(rho_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f401,plain,
( sQ2_spl
| a_select2(rho_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f399]) ).
fof(f402,definition,
( sQ3_spl
<=> a_select2(sigma_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f404,plain,
( sQ3_spl
| a_select2(sigma_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f402]) ).
fof(f405,definition,
( sQ4_spl
<=> a_select2(sigma_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f407,plain,
( sQ4_spl
| a_select2(sigma_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f405]) ).
fof(f408,definition,
( sQ5_spl
<=> a_select2(sigma_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f410,plain,
( sQ5_spl
| a_select2(sigma_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f408]) ).
fof(f411,definition,
( sQ6_spl
<=> a_select2(sigma_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( sQ6_spl
| a_select2(sigma_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,definition,
( sQ7_spl
<=> a_select2(sigma_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f416,plain,
( sQ7_spl
| a_select2(sigma_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f414]) ).
fof(f417,definition,
( sQ8_spl
<=> a_select2(sigma_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f419,plain,
( sQ8_spl
| a_select2(sigma_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f417]) ).
fof(f420,definition,
( sQ9_spl
<=> a_select3(u_defuse,n0,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f422,plain,
( sQ9_spl
| a_select3(u_defuse,n0,n0) != use ),
inference(component_clause,[status(thm)],[f420]) ).
fof(f423,definition,
( sQ10_spl
<=> a_select3(u_defuse,n1,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f425,plain,
( sQ10_spl
| a_select3(u_defuse,n1,n0) != use ),
inference(component_clause,[status(thm)],[f423]) ).
fof(f426,definition,
( sQ11_spl
<=> a_select3(u_defuse,n2,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f428,plain,
( sQ11_spl
| a_select3(u_defuse,n2,n0) != use ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,definition,
( sQ12_spl
<=> a_select2(xinit_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f431,plain,
( sQ12_spl
| a_select2(xinit_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f429]) ).
fof(f432,definition,
( sQ13_spl
<=> a_select2(xinit_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f434,plain,
( sQ13_spl
| a_select2(xinit_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f432]) ).
fof(f435,definition,
( sQ14_spl
<=> a_select2(xinit_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f437,plain,
( sQ14_spl
| a_select2(xinit_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f435]) ).
fof(f438,definition,
( sQ15_spl
<=> a_select2(xinit_mean_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f440,plain,
( sQ15_spl
| a_select2(xinit_mean_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f438]) ).
fof(f441,definition,
( sQ16_spl
<=> a_select2(xinit_mean_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f443,plain,
( sQ16_spl
| a_select2(xinit_mean_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f441]) ).
fof(f444,definition,
( sQ17_spl
<=> a_select2(xinit_mean_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f446,plain,
( sQ17_spl
| a_select2(xinit_mean_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f444]) ).
fof(f447,definition,
( sQ18_spl
<=> a_select2(xinit_mean_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f449,plain,
( sQ18_spl
| a_select2(xinit_mean_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f447]) ).
fof(f450,definition,
( sQ19_spl
<=> a_select2(xinit_mean_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ19_spl
| a_select2(xinit_mean_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,definition,
( sQ20_spl
<=> a_select2(xinit_mean_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f455,plain,
( sQ20_spl
| a_select2(xinit_mean_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f453]) ).
fof(f456,definition,
( sQ21_spl
<=> a_select2(xinit_noise_defuse,n0) = use ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( sQ21_spl
| a_select2(xinit_noise_defuse,n0) != use ),
inference(component_clause,[status(thm)],[f456]) ).
fof(f459,definition,
( sQ22_spl
<=> a_select2(xinit_noise_defuse,n1) = use ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( sQ22_spl
| a_select2(xinit_noise_defuse,n1) != use ),
inference(component_clause,[status(thm)],[f459]) ).
fof(f462,definition,
( sQ23_spl
<=> a_select2(xinit_noise_defuse,n2) = use ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f464,plain,
( sQ23_spl
| a_select2(xinit_noise_defuse,n2) != use ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ24_spl
<=> a_select2(xinit_noise_defuse,n3) = use ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f467,plain,
( sQ24_spl
| a_select2(xinit_noise_defuse,n3) != use ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f468,definition,
( sQ25_spl
<=> a_select2(xinit_noise_defuse,n4) = use ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f470,plain,
( sQ25_spl
| a_select2(xinit_noise_defuse,n4) != use ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ26_spl
<=> a_select2(xinit_noise_defuse,n5) = use ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f473,plain,
( sQ26_spl
| a_select2(xinit_noise_defuse,n5) != use ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,definition,
( sQ27_spl
<=> leq(n0,pv5) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f476,plain,
( sQ27_spl
| ~ leq(n0,pv5) ),
inference(component_clause,[status(thm)],[f474]) ).
fof(f477,definition,
( sQ28_spl
<=> leq(pv5,minus(n999,n1)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f479,plain,
( sQ28_spl
| ~ leq(pv5,minus(n999,n1)) ),
inference(component_clause,[status(thm)],[f477]) ).
fof(f480,definition,
( sQ29_spl
<=> leq(n0,sK23_skl) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f483,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)],[f296,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453,f456,f459,f462,f465,f468,f471,f474,f477,f480]) ).
fof(f484,definition,
( sQ30_spl
<=> leq(n0,sK24_skl) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f487,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)],[f297,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453,f456,f459,f462,f465,f468,f471,f474,f477,f484]) ).
fof(f488,definition,
( sQ31_spl
<=> leq(sK23_skl,n2) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f491,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)],[f298,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453,f456,f459,f462,f465,f468,f471,f474,f477,f488]) ).
fof(f492,definition,
( sQ32_spl
<=> leq(sK24_skl,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f493,plain,
( ~ sQ32_spl
| leq(sK24_skl,minus(pv5,n1)) ),
inference(component_clause,[status(thm)],[f492]) ).
fof(f495,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)],[f299,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453,f456,f459,f462,f465,f468,f471,f474,f477,f492]) ).
fof(f496,definition,
( sQ33_spl
<=> a_select3(u_defuse,sK23_skl,sK24_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f498,plain,
( sQ33_spl
| a_select3(u_defuse,sK23_skl,sK24_skl) != use ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,definition,
( sQ34_spl
<=> a_select3(z_defuse,sK23_skl,sK24_skl) = use ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f501,plain,
( sQ34_spl
| a_select3(z_defuse,sK23_skl,sK24_skl) != use ),
inference(component_clause,[status(thm)],[f499]) ).
fof(f502,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)],[f300,f393,f396,f399,f402,f405,f408,f411,f414,f417,f420,f423,f426,f429,f432,f435,f438,f441,f444,f447,f450,f453,f456,f459,f462,f465,f468,f471,f474,f477,f496,f499]) ).
fof(f515,plain,
leq(pv5,pred(n999)),
inference(forward_demodulation,[status(thm)],[f227,f292]) ).
fof(f517,plain,
! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f227,f294]) ).
fof(f518,plain,
! [X0,X1] :
( a_select3(z_defuse,X0,X1) = use
| ~ leq(X1,pred(pv5))
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) ),
inference(forward_demodulation,[status(thm)],[f227,f295]) ).
fof(f530,plain,
( sQ28_spl
| ~ leq(pv5,pred(n999)) ),
inference(forward_demodulation,[status(thm)],[f227,f479]) ).
fof(f531,plain,
( sQ28_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f530,f515]) ).
fof(f532,plain,
sQ28_spl,
inference(contradiction_clause,[status(thm)],[f531]) ).
fof(f534,plain,
( sQ27_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f476,f290]) ).
fof(f535,plain,
sQ27_spl,
inference(contradiction_clause,[status(thm)],[f534]) ).
fof(f537,plain,
( sQ26_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f289,f473]) ).
fof(f538,plain,
( sQ26_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f537]) ).
fof(f539,plain,
sQ26_spl,
inference(contradiction_clause,[status(thm)],[f538]) ).
fof(f540,plain,
( sQ25_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f288,f470]) ).
fof(f541,plain,
( sQ25_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f540]) ).
fof(f542,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f541]) ).
fof(f543,plain,
( sQ24_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f287,f467]) ).
fof(f544,plain,
( sQ24_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f543]) ).
fof(f545,plain,
sQ24_spl,
inference(contradiction_clause,[status(thm)],[f544]) ).
fof(f546,plain,
( sQ23_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f286,f464]) ).
fof(f547,plain,
( sQ23_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f546]) ).
fof(f548,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f547]) ).
fof(f549,plain,
( sQ22_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f285,f461]) ).
fof(f550,plain,
( sQ22_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f549]) ).
fof(f551,plain,
sQ22_spl,
inference(contradiction_clause,[status(thm)],[f550]) ).
fof(f552,plain,
( sQ21_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f284,f458]) ).
fof(f553,plain,
( sQ21_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f552]) ).
fof(f554,plain,
sQ21_spl,
inference(contradiction_clause,[status(thm)],[f553]) ).
fof(f555,plain,
( sQ20_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f283,f455]) ).
fof(f556,plain,
( sQ20_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f555]) ).
fof(f557,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f556]) ).
fof(f558,plain,
( sQ19_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f282,f452]) ).
fof(f559,plain,
( sQ19_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f558]) ).
fof(f560,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f559]) ).
fof(f561,plain,
( sQ18_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f281,f449]) ).
fof(f562,plain,
( sQ18_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f561]) ).
fof(f563,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f562]) ).
fof(f564,plain,
( sQ17_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f280,f446]) ).
fof(f565,plain,
( sQ17_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f564]) ).
fof(f566,plain,
sQ17_spl,
inference(contradiction_clause,[status(thm)],[f565]) ).
fof(f567,plain,
( sQ16_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f279,f443]) ).
fof(f568,plain,
( sQ16_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f567]) ).
fof(f569,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f568]) ).
fof(f570,plain,
( sQ15_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f278,f440]) ).
fof(f571,plain,
( sQ15_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f570]) ).
fof(f572,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f571]) ).
fof(f573,plain,
( sQ14_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f277,f437]) ).
fof(f574,plain,
( sQ14_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f573]) ).
fof(f575,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f574]) ).
fof(f576,plain,
( sQ13_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f276,f434]) ).
fof(f577,plain,
( sQ13_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f576]) ).
fof(f578,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f577]) ).
fof(f579,plain,
( sQ12_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f275,f431]) ).
fof(f580,plain,
( sQ12_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f579]) ).
fof(f581,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f580]) ).
fof(f582,plain,
( sQ11_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f274,f428]) ).
fof(f583,plain,
( sQ11_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f582]) ).
fof(f584,plain,
sQ11_spl,
inference(contradiction_clause,[status(thm)],[f583]) ).
fof(f585,plain,
( sQ10_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f273,f425]) ).
fof(f586,plain,
( sQ10_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f585]) ).
fof(f587,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f586]) ).
fof(f588,plain,
( sQ9_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f272,f422]) ).
fof(f589,plain,
( sQ9_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f588]) ).
fof(f590,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f589]) ).
fof(f591,plain,
( sQ8_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f271,f419]) ).
fof(f592,plain,
( sQ8_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f591]) ).
fof(f593,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f592]) ).
fof(f594,plain,
( sQ7_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f270,f416]) ).
fof(f595,plain,
( sQ7_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f594]) ).
fof(f596,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f595]) ).
fof(f597,plain,
( sQ6_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f269,f413]) ).
fof(f598,plain,
( sQ6_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f597]) ).
fof(f599,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f598]) ).
fof(f600,plain,
( sQ5_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f268,f410]) ).
fof(f601,plain,
( sQ5_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f600]) ).
fof(f602,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f601]) ).
fof(f603,plain,
( sQ4_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f267,f407]) ).
fof(f604,plain,
( sQ4_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f603]) ).
fof(f605,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f604]) ).
fof(f606,plain,
( sQ3_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f266,f404]) ).
fof(f607,plain,
( sQ3_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f606]) ).
fof(f608,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f607]) ).
fof(f609,plain,
( sQ2_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f265,f401]) ).
fof(f610,plain,
( sQ2_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f609]) ).
fof(f611,plain,
sQ2_spl,
inference(contradiction_clause,[status(thm)],[f610]) ).
fof(f612,plain,
( sQ1_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f264,f398]) ).
fof(f613,plain,
( sQ1_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f612]) ).
fof(f614,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f613]) ).
fof(f615,plain,
( sQ0_spl
| use != use ),
inference(forward_demodulation,[status(thm)],[f263,f395]) ).
fof(f616,plain,
( sQ0_spl
| $false ),
inference(trivial_equality_resolution,[status(thm)],[f615]) ).
fof(f617,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f616]) ).
fof(f618,plain,
( ~ sQ32_spl
| leq(sK24_skl,pred(pv5)) ),
inference(forward_demodulation,[status(thm)],[f227,f493]) ).
fof(f861,definition,
( sQ70_spl
<=> leq(n0,n0) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f863,plain,
( sQ70_spl
| ~ leq(n0,n0) ),
inference(component_clause,[status(thm)],[f861]) ).
fof(f876,plain,
( sQ70_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f863,f109]) ).
fof(f877,plain,
sQ70_spl,
inference(contradiction_clause,[status(thm)],[f876]) ).
fof(f953,plain,
( sQ33_spl
| ~ leq(sK24_skl,pred(pv5))
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f517,f498]) ).
fof(f957,definition,
( sQ87_spl
<=> leq(sK24_skl,pred(pv5)) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f959,plain,
( sQ87_spl
| ~ leq(sK24_skl,pred(pv5)) ),
inference(component_clause,[status(thm)],[f957]) ).
fof(f960,plain,
( sQ33_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f953,f480,f484,f488,f957,f496]) ).
fof(f961,definition,
( sQ88_spl
<=> leq(n2,n2) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f963,plain,
( sQ88_spl
| ~ leq(n2,n2) ),
inference(component_clause,[status(thm)],[f961]) ).
fof(f971,definition,
( sQ91_spl
<=> leq(n1,n2) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f973,plain,
( sQ91_spl
| ~ leq(n1,n2) ),
inference(component_clause,[status(thm)],[f971]) ).
fof(f976,plain,
( sQ87_spl
| ~ sQ32_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f959,f618]) ).
fof(f977,plain,
( sQ87_spl
| ~ sQ32_spl ),
inference(contradiction_clause,[status(thm)],[f976]) ).
fof(f978,plain,
( sQ88_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f963,f109]) ).
fof(f979,plain,
sQ88_spl,
inference(contradiction_clause,[status(thm)],[f978]) ).
fof(f980,plain,
( sQ91_spl
| ~ gt(n2,n1) ),
inference(resolution,[status(thm)],[f973,f122]) ).
fof(f983,plain,
( sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f980,f326]) ).
fof(f984,plain,
sQ91_spl,
inference(contradiction_clause,[status(thm)],[f983]) ).
fof(f1048,plain,
( sQ34_spl
| ~ leq(sK24_skl,pred(pv5))
| ~ leq(sK23_skl,n2)
| ~ leq(n0,sK24_skl)
| ~ leq(n0,sK23_skl) ),
inference(resolution,[status(thm)],[f518,f501]) ).
fof(f1049,plain,
( sQ34_spl
| ~ sQ87_spl
| ~ sQ31_spl
| ~ sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f1048,f480,f484,f488,f957,f499]) ).
fof(f1050,plain,
$false,
inference(sat_refutation,[status(thm)],[f483,f487,f491,f495,f502,f532,f535,f539,f542,f545,f548,f551,f554,f557,f560,f563,f566,f569,f572,f575,f578,f581,f584,f587,f590,f593,f596,f599,f602,f605,f608,f611,f614,f617,f877,f960,f977,f979,f984,f1049]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV096+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.74 % Computer : n019.cluster.edu
% 0.09/5.74 % Model : x86_64 x86_64
% 0.09/5.74 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.74 % Memory : 8046.5625MB
% 0.09/5.74 % OS : Linux 6.8.0-71-generic
% 0.09/5.74 % CPULimit : 300
% 0.09/5.74 % WCLimit : 300
% 0.09/5.74 % DateTime : Mon Sep 21 08:30:57 UTC 2026
% 0.09/5.74 % CPUTime :
% 0.09/5.76 % Drodi V4.1.1
% 0.15/5.90 % Refutation found
% 0.15/5.90 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.15/5.90 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/5.94 % Elapsed time: 0.181563 seconds
% 0.15/5.94 % CPU time: 1.069717 seconds
% 0.15/5.94 % Total memory used: 124.299 MB
% 0.15/5.94 % Net memory used: 122.693 MB
%------------------------------------------------------------------------------