TSTP Solution File: SWV093+1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV093+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:45:58 EDT 2024
% Result : Theorem 0.20s 0.51s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 47
% Syntax : Number of formulae : 259 ( 66 unt; 0 def)
% Number of atoms : 1203 ( 570 equ)
% Maximal formula atoms : 84 ( 4 avg)
% Number of connectives : 1514 ( 570 ~; 605 |; 285 &)
% ( 43 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 72 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 47 ( 45 usr; 44 prp; 0-2 aty)
% Number of functors : 26 ( 26 usr; 22 con; 0-3 aty)
% Number of variables : 70 ( 62 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] : leq(X,X),
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_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,pv5) )
=> ( a_select3(u_defuse,A,B) = use
& a_select3(z_defuse,A,B) = use ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,minus(pv5,n1)) )
=> ( a_select3(u_defuse,C,D) = use
& a_select3(z_defuse,C,D) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5) )
=> ( a_select3(u_defuse,E,F) = use
& a_select3(z_defuse,E,F) = use ) )
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,n2)
& leq(H,minus(pv5,n1)) )
=> ( a_select3(u_defuse,G,H) = use
& a_select3(z_defuse,G,H) = use ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [A,B] :
( ( leq(n0,A)
& leq(n0,B)
& leq(A,n2)
& leq(B,pv5) )
=> ( a_select3(u_defuse,A,B) = use
& a_select3(z_defuse,A,B) = use ) )
& ! [C,D] :
( ( leq(n0,C)
& leq(n0,D)
& leq(C,n2)
& leq(D,minus(pv5,n1)) )
=> ( a_select3(u_defuse,C,D) = use
& a_select3(z_defuse,C,D) = use ) ) )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(pv5,minus(n999,n1))
& ! [E,F] :
( ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5) )
=> ( a_select3(u_defuse,E,F) = use
& a_select3(z_defuse,E,F) = use ) )
& ! [G,H] :
( ( leq(n0,G)
& leq(n0,H)
& leq(G,n2)
& leq(H,minus(pv5,n1)) )
=> ( a_select3(u_defuse,G,H) = use
& a_select3(z_defuse,G,H) = use ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f109,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f227,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[status(esa)],[f39]) ).
fof(f261,plain,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n2)
| ~ leq(B,pv5)
| ( a_select3(u_defuse,A,B) = use
& a_select3(z_defuse,A,B) = use ) )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,minus(pv5,n1))
| ( a_select3(u_defuse,C,D) = use
& a_select3(z_defuse,C,D) = use ) )
& ( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [E,F] :
( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5)
& ( a_select3(u_defuse,E,F) != use
| a_select3(z_defuse,E,F) != use ) )
| ? [G,H] :
( leq(n0,G)
& leq(n0,H)
& leq(G,n2)
& leq(H,minus(pv5,n1))
& ( a_select3(u_defuse,G,H) != use
| a_select3(z_defuse,G,H) != use ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f262,plain,
! [E,F] :
( pd0_3(F,E)
=> ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5)
& ( a_select3(u_defuse,E,F) != use
| a_select3(z_defuse,E,F) != use ) ) ),
introduced(predicate_definition,[f261]) ).
fof(f263,plain,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n2)
| ~ leq(B,pv5)
| ( a_select3(u_defuse,A,B) = use
& a_select3(z_defuse,A,B) = use ) )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,minus(pv5,n1))
| ( a_select3(u_defuse,C,D) = use
& a_select3(z_defuse,C,D) = use ) )
& ( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| ? [E,F] : pd0_3(F,E)
| ? [G,H] :
( leq(n0,G)
& leq(n0,H)
& leq(G,n2)
& leq(H,minus(pv5,n1))
& ( a_select3(u_defuse,G,H) != use
| a_select3(z_defuse,G,H) != use ) ) ) ),
inference(formula_renaming,[status(thm)],[f261,f262]) ).
fof(f264,plain,
( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& leq(n0,pv5)
& leq(n0,pv41)
& leq(pv5,minus(n999,n1))
& leq(pv41,minus(n6,n1))
& ! [A,B] :
( ~ leq(n0,A)
| ~ leq(n0,B)
| ~ leq(A,n2)
| ~ leq(B,pv5)
| ( a_select3(u_defuse,A,B) = use
& a_select3(z_defuse,A,B) = use ) )
& ! [C,D] :
( ~ leq(n0,C)
| ~ leq(n0,D)
| ~ leq(C,n2)
| ~ leq(D,minus(pv5,n1))
| ( a_select3(u_defuse,C,D) = use
& a_select3(z_defuse,C,D) = use ) )
& ( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| pd0_3(sk0_24,sk0_23)
| ( leq(n0,sk0_25)
& leq(n0,sk0_26)
& leq(sk0_25,n2)
& leq(sk0_26,minus(pv5,n1))
& ( a_select3(u_defuse,sk0_25,sk0_26) != use
| a_select3(z_defuse,sk0_25,sk0_26) != use ) ) ) ),
inference(skolemization,[status(esa)],[f263]) ).
fof(f265,plain,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f266,plain,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f267,plain,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f268,plain,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f269,plain,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f270,plain,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f271,plain,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f272,plain,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f273,plain,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f274,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f275,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f276,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f277,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f278,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f279,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f280,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f281,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f282,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f283,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f284,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f285,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f286,plain,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f287,plain,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f288,plain,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f289,plain,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f290,plain,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f291,plain,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f292,plain,
leq(n0,pv5),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f294,plain,
leq(pv5,minus(n999,n1)),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f296,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pv5)
| a_select3(u_defuse,X0,X1) = use ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f297,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pv5)
| a_select3(z_defuse,X0,X1) = use ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f298,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,minus(pv5,n1))
| a_select3(u_defuse,X0,X1) = use ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f299,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,minus(pv5,n1))
| a_select3(z_defuse,X0,X1) = use ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f300,plain,
( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| pd0_3(sk0_24,sk0_23)
| leq(n0,sk0_25) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f301,plain,
( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| pd0_3(sk0_24,sk0_23)
| leq(n0,sk0_26) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f302,plain,
( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| pd0_3(sk0_24,sk0_23)
| leq(sk0_25,n2) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f303,plain,
( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| pd0_3(sk0_24,sk0_23)
| leq(sk0_26,minus(pv5,n1)) ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f304,plain,
( a_select2(rho_defuse,n0) != use
| a_select2(rho_defuse,n1) != use
| a_select2(rho_defuse,n2) != use
| a_select2(sigma_defuse,n0) != use
| a_select2(sigma_defuse,n1) != use
| a_select2(sigma_defuse,n2) != use
| a_select2(sigma_defuse,n3) != use
| a_select2(sigma_defuse,n4) != use
| a_select2(sigma_defuse,n5) != use
| a_select3(u_defuse,n0,n0) != use
| a_select3(u_defuse,n1,n0) != use
| a_select3(u_defuse,n2,n0) != use
| a_select2(xinit_defuse,n3) != use
| a_select2(xinit_defuse,n4) != use
| a_select2(xinit_defuse,n5) != use
| a_select2(xinit_mean_defuse,n0) != use
| a_select2(xinit_mean_defuse,n1) != use
| a_select2(xinit_mean_defuse,n2) != use
| a_select2(xinit_mean_defuse,n3) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_noise_defuse,n0) != use
| a_select2(xinit_noise_defuse,n1) != use
| a_select2(xinit_noise_defuse,n2) != use
| a_select2(xinit_noise_defuse,n3) != use
| a_select2(xinit_noise_defuse,n4) != use
| a_select2(xinit_noise_defuse,n5) != use
| ~ leq(n0,pv5)
| ~ leq(pv5,minus(n999,n1))
| pd0_3(sk0_24,sk0_23)
| a_select3(u_defuse,sk0_25,sk0_26) != use
| a_select3(z_defuse,sk0_25,sk0_26) != use ),
inference(cnf_transformation,[status(esa)],[f264]) ).
fof(f382,plain,
! [E,F] :
( ~ pd0_3(F,E)
| ( leq(n0,E)
& leq(n0,F)
& leq(E,n2)
& leq(F,pv5)
& ( a_select3(u_defuse,E,F) != use
| a_select3(z_defuse,E,F) != use ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f262]) ).
fof(f383,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(n0,X1) ),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f384,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(n0,X0) ),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f385,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X1,n2) ),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f386,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| leq(X0,pv5) ),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f387,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| a_select3(u_defuse,X1,X0) != use
| a_select3(z_defuse,X1,X0) != use ),
inference(cnf_transformation,[status(esa)],[f382]) ).
fof(f394,plain,
( spl0_0
<=> a_select2(rho_defuse,n0) = use ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( a_select2(rho_defuse,n0) != use
| spl0_0 ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,plain,
( spl0_1
<=> a_select2(rho_defuse,n1) = use ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( a_select2(rho_defuse,n1) != use
| spl0_1 ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( spl0_2
<=> a_select2(rho_defuse,n2) = use ),
introduced(split_symbol_definition) ).
fof(f402,plain,
( a_select2(rho_defuse,n2) != use
| spl0_2 ),
inference(component_clause,[status(thm)],[f400]) ).
fof(f403,plain,
( spl0_3
<=> a_select2(sigma_defuse,n0) = use ),
introduced(split_symbol_definition) ).
fof(f405,plain,
( a_select2(sigma_defuse,n0) != use
| spl0_3 ),
inference(component_clause,[status(thm)],[f403]) ).
fof(f406,plain,
( spl0_4
<=> a_select2(sigma_defuse,n1) = use ),
introduced(split_symbol_definition) ).
fof(f408,plain,
( a_select2(sigma_defuse,n1) != use
| spl0_4 ),
inference(component_clause,[status(thm)],[f406]) ).
fof(f409,plain,
( spl0_5
<=> a_select2(sigma_defuse,n2) = use ),
introduced(split_symbol_definition) ).
fof(f411,plain,
( a_select2(sigma_defuse,n2) != use
| spl0_5 ),
inference(component_clause,[status(thm)],[f409]) ).
fof(f412,plain,
( spl0_6
<=> a_select2(sigma_defuse,n3) = use ),
introduced(split_symbol_definition) ).
fof(f414,plain,
( a_select2(sigma_defuse,n3) != use
| spl0_6 ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f415,plain,
( spl0_7
<=> a_select2(sigma_defuse,n4) = use ),
introduced(split_symbol_definition) ).
fof(f417,plain,
( a_select2(sigma_defuse,n4) != use
| spl0_7 ),
inference(component_clause,[status(thm)],[f415]) ).
fof(f418,plain,
( spl0_8
<=> a_select2(sigma_defuse,n5) = use ),
introduced(split_symbol_definition) ).
fof(f420,plain,
( a_select2(sigma_defuse,n5) != use
| spl0_8 ),
inference(component_clause,[status(thm)],[f418]) ).
fof(f421,plain,
( spl0_9
<=> a_select3(u_defuse,n0,n0) = use ),
introduced(split_symbol_definition) ).
fof(f423,plain,
( a_select3(u_defuse,n0,n0) != use
| spl0_9 ),
inference(component_clause,[status(thm)],[f421]) ).
fof(f424,plain,
( spl0_10
<=> a_select3(u_defuse,n1,n0) = use ),
introduced(split_symbol_definition) ).
fof(f426,plain,
( a_select3(u_defuse,n1,n0) != use
| spl0_10 ),
inference(component_clause,[status(thm)],[f424]) ).
fof(f427,plain,
( spl0_11
<=> a_select3(u_defuse,n2,n0) = use ),
introduced(split_symbol_definition) ).
fof(f429,plain,
( a_select3(u_defuse,n2,n0) != use
| spl0_11 ),
inference(component_clause,[status(thm)],[f427]) ).
fof(f430,plain,
( spl0_12
<=> a_select2(xinit_defuse,n3) = use ),
introduced(split_symbol_definition) ).
fof(f432,plain,
( a_select2(xinit_defuse,n3) != use
| spl0_12 ),
inference(component_clause,[status(thm)],[f430]) ).
fof(f433,plain,
( spl0_13
<=> a_select2(xinit_defuse,n4) = use ),
introduced(split_symbol_definition) ).
fof(f435,plain,
( a_select2(xinit_defuse,n4) != use
| spl0_13 ),
inference(component_clause,[status(thm)],[f433]) ).
fof(f436,plain,
( spl0_14
<=> a_select2(xinit_defuse,n5) = use ),
introduced(split_symbol_definition) ).
fof(f438,plain,
( a_select2(xinit_defuse,n5) != use
| spl0_14 ),
inference(component_clause,[status(thm)],[f436]) ).
fof(f439,plain,
( spl0_15
<=> a_select2(xinit_mean_defuse,n0) = use ),
introduced(split_symbol_definition) ).
fof(f441,plain,
( a_select2(xinit_mean_defuse,n0) != use
| spl0_15 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( spl0_16
<=> a_select2(xinit_mean_defuse,n1) = use ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( a_select2(xinit_mean_defuse,n1) != use
| spl0_16 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( spl0_17
<=> a_select2(xinit_mean_defuse,n2) = use ),
introduced(split_symbol_definition) ).
fof(f447,plain,
( a_select2(xinit_mean_defuse,n2) != use
| spl0_17 ),
inference(component_clause,[status(thm)],[f445]) ).
fof(f448,plain,
( spl0_18
<=> a_select2(xinit_mean_defuse,n3) = use ),
introduced(split_symbol_definition) ).
fof(f450,plain,
( a_select2(xinit_mean_defuse,n3) != use
| spl0_18 ),
inference(component_clause,[status(thm)],[f448]) ).
fof(f451,plain,
( spl0_19
<=> a_select2(xinit_mean_defuse,n4) = use ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( a_select2(xinit_mean_defuse,n4) != use
| spl0_19 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( spl0_20
<=> a_select2(xinit_mean_defuse,n5) = use ),
introduced(split_symbol_definition) ).
fof(f456,plain,
( a_select2(xinit_mean_defuse,n5) != use
| spl0_20 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( spl0_21
<=> a_select2(xinit_noise_defuse,n0) = use ),
introduced(split_symbol_definition) ).
fof(f459,plain,
( a_select2(xinit_noise_defuse,n0) != use
| spl0_21 ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,plain,
( spl0_22
<=> a_select2(xinit_noise_defuse,n1) = use ),
introduced(split_symbol_definition) ).
fof(f462,plain,
( a_select2(xinit_noise_defuse,n1) != use
| spl0_22 ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( spl0_23
<=> a_select2(xinit_noise_defuse,n2) = use ),
introduced(split_symbol_definition) ).
fof(f465,plain,
( a_select2(xinit_noise_defuse,n2) != use
| spl0_23 ),
inference(component_clause,[status(thm)],[f463]) ).
fof(f466,plain,
( spl0_24
<=> a_select2(xinit_noise_defuse,n3) = use ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( a_select2(xinit_noise_defuse,n3) != use
| spl0_24 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( spl0_25
<=> a_select2(xinit_noise_defuse,n4) = use ),
introduced(split_symbol_definition) ).
fof(f471,plain,
( a_select2(xinit_noise_defuse,n4) != use
| spl0_25 ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( spl0_26
<=> a_select2(xinit_noise_defuse,n5) = use ),
introduced(split_symbol_definition) ).
fof(f474,plain,
( a_select2(xinit_noise_defuse,n5) != use
| spl0_26 ),
inference(component_clause,[status(thm)],[f472]) ).
fof(f475,plain,
( spl0_27
<=> leq(n0,pv5) ),
introduced(split_symbol_definition) ).
fof(f477,plain,
( ~ leq(n0,pv5)
| spl0_27 ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f478,plain,
( spl0_28
<=> leq(pv5,minus(n999,n1)) ),
introduced(split_symbol_definition) ).
fof(f480,plain,
( ~ leq(pv5,minus(n999,n1))
| spl0_28 ),
inference(component_clause,[status(thm)],[f478]) ).
fof(f481,plain,
( spl0_29
<=> pd0_3(sk0_24,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f482,plain,
( pd0_3(sk0_24,sk0_23)
| ~ spl0_29 ),
inference(component_clause,[status(thm)],[f481]) ).
fof(f484,plain,
( spl0_30
<=> leq(n0,sk0_25) ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28
| spl0_29
| spl0_30 ),
inference(split_clause,[status(thm)],[f300,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f484]) ).
fof(f488,plain,
( spl0_31
<=> leq(n0,sk0_26) ),
introduced(split_symbol_definition) ).
fof(f491,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28
| spl0_29
| spl0_31 ),
inference(split_clause,[status(thm)],[f301,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f488]) ).
fof(f492,plain,
( spl0_32
<=> leq(sk0_25,n2) ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28
| spl0_29
| spl0_32 ),
inference(split_clause,[status(thm)],[f302,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f492]) ).
fof(f496,plain,
( spl0_33
<=> leq(sk0_26,minus(pv5,n1)) ),
introduced(split_symbol_definition) ).
fof(f497,plain,
( leq(sk0_26,minus(pv5,n1))
| ~ spl0_33 ),
inference(component_clause,[status(thm)],[f496]) ).
fof(f499,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28
| spl0_29
| spl0_33 ),
inference(split_clause,[status(thm)],[f303,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f496]) ).
fof(f500,plain,
( spl0_34
<=> a_select3(u_defuse,sk0_25,sk0_26) = use ),
introduced(split_symbol_definition) ).
fof(f502,plain,
( a_select3(u_defuse,sk0_25,sk0_26) != use
| spl0_34 ),
inference(component_clause,[status(thm)],[f500]) ).
fof(f503,plain,
( spl0_35
<=> a_select3(z_defuse,sk0_25,sk0_26) = use ),
introduced(split_symbol_definition) ).
fof(f505,plain,
( a_select3(z_defuse,sk0_25,sk0_26) != use
| spl0_35 ),
inference(component_clause,[status(thm)],[f503]) ).
fof(f506,plain,
( ~ spl0_0
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| ~ spl0_4
| ~ spl0_5
| ~ spl0_6
| ~ spl0_7
| ~ spl0_8
| ~ spl0_9
| ~ spl0_10
| ~ spl0_11
| ~ spl0_12
| ~ spl0_13
| ~ spl0_14
| ~ spl0_15
| ~ spl0_16
| ~ spl0_17
| ~ spl0_18
| ~ spl0_19
| ~ spl0_20
| ~ spl0_21
| ~ spl0_22
| ~ spl0_23
| ~ spl0_24
| ~ spl0_25
| ~ spl0_26
| ~ spl0_27
| ~ spl0_28
| spl0_29
| ~ spl0_34
| ~ spl0_35 ),
inference(split_clause,[status(thm)],[f304,f394,f397,f400,f403,f406,f409,f412,f415,f418,f421,f424,f427,f430,f433,f436,f439,f442,f445,f448,f451,f454,f457,f460,f463,f466,f469,f472,f475,f478,f481,f500,f503]) ).
fof(f525,plain,
leq(pv5,pred(n999)),
inference(forward_demodulation,[status(thm)],[f227,f294]) ).
fof(f527,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5))
| a_select3(u_defuse,X0,X1) = use ),
inference(forward_demodulation,[status(thm)],[f227,f298]) ).
fof(f528,plain,
! [X0,X1] :
( ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5))
| a_select3(z_defuse,X0,X1) = use ),
inference(forward_demodulation,[status(thm)],[f227,f299]) ).
fof(f545,plain,
( ~ leq(pv5,pred(n999))
| spl0_28 ),
inference(forward_demodulation,[status(thm)],[f227,f480]) ).
fof(f546,plain,
( $false
| spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f545,f525]) ).
fof(f547,plain,
spl0_28,
inference(contradiction_clause,[status(thm)],[f546]) ).
fof(f551,plain,
( $false
| spl0_27 ),
inference(forward_subsumption_resolution,[status(thm)],[f477,f292]) ).
fof(f552,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f554,plain,
( use != use
| spl0_26 ),
inference(forward_demodulation,[status(thm)],[f291,f474]) ).
fof(f555,plain,
( $false
| spl0_26 ),
inference(trivial_equality_resolution,[status(esa)],[f554]) ).
fof(f556,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f555]) ).
fof(f557,plain,
( use != use
| spl0_25 ),
inference(forward_demodulation,[status(thm)],[f290,f471]) ).
fof(f558,plain,
( $false
| spl0_25 ),
inference(trivial_equality_resolution,[status(esa)],[f557]) ).
fof(f559,plain,
spl0_25,
inference(contradiction_clause,[status(thm)],[f558]) ).
fof(f560,plain,
( use != use
| spl0_24 ),
inference(forward_demodulation,[status(thm)],[f289,f468]) ).
fof(f561,plain,
( $false
| spl0_24 ),
inference(trivial_equality_resolution,[status(esa)],[f560]) ).
fof(f562,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f561]) ).
fof(f563,plain,
( use != use
| spl0_23 ),
inference(forward_demodulation,[status(thm)],[f288,f465]) ).
fof(f564,plain,
( $false
| spl0_23 ),
inference(trivial_equality_resolution,[status(esa)],[f563]) ).
fof(f565,plain,
spl0_23,
inference(contradiction_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( use != use
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f287,f462]) ).
fof(f567,plain,
( $false
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f566]) ).
fof(f568,plain,
spl0_22,
inference(contradiction_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( use != use
| spl0_21 ),
inference(forward_demodulation,[status(thm)],[f286,f459]) ).
fof(f570,plain,
( $false
| spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f569]) ).
fof(f571,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f570]) ).
fof(f572,plain,
( use != use
| spl0_20 ),
inference(forward_demodulation,[status(thm)],[f285,f456]) ).
fof(f573,plain,
( $false
| spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f572]) ).
fof(f574,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f573]) ).
fof(f575,plain,
( use != use
| spl0_19 ),
inference(forward_demodulation,[status(thm)],[f284,f453]) ).
fof(f576,plain,
( $false
| spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f575]) ).
fof(f577,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f576]) ).
fof(f578,plain,
( use != use
| spl0_18 ),
inference(forward_demodulation,[status(thm)],[f283,f450]) ).
fof(f579,plain,
( $false
| spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f578]) ).
fof(f580,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f579]) ).
fof(f581,plain,
( use != use
| spl0_17 ),
inference(forward_demodulation,[status(thm)],[f282,f447]) ).
fof(f582,plain,
( $false
| spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f581]) ).
fof(f583,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f582]) ).
fof(f584,plain,
( use != use
| spl0_16 ),
inference(forward_demodulation,[status(thm)],[f281,f444]) ).
fof(f585,plain,
( $false
| spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f584]) ).
fof(f586,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f585]) ).
fof(f587,plain,
( use != use
| spl0_15 ),
inference(forward_demodulation,[status(thm)],[f280,f441]) ).
fof(f588,plain,
( $false
| spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f587]) ).
fof(f589,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( use != use
| spl0_14 ),
inference(forward_demodulation,[status(thm)],[f279,f438]) ).
fof(f591,plain,
( $false
| spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f590]) ).
fof(f592,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f591]) ).
fof(f593,plain,
( use != use
| spl0_13 ),
inference(forward_demodulation,[status(thm)],[f278,f435]) ).
fof(f594,plain,
( $false
| spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f593]) ).
fof(f595,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f594]) ).
fof(f596,plain,
( use != use
| spl0_12 ),
inference(forward_demodulation,[status(thm)],[f277,f432]) ).
fof(f597,plain,
( $false
| spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f596]) ).
fof(f598,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f599,plain,
( use != use
| spl0_11 ),
inference(forward_demodulation,[status(thm)],[f276,f429]) ).
fof(f600,plain,
( $false
| spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f599]) ).
fof(f601,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f600]) ).
fof(f602,plain,
( use != use
| spl0_10 ),
inference(forward_demodulation,[status(thm)],[f275,f426]) ).
fof(f603,plain,
( $false
| spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f602]) ).
fof(f604,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f603]) ).
fof(f605,plain,
( use != use
| spl0_9 ),
inference(forward_demodulation,[status(thm)],[f274,f423]) ).
fof(f606,plain,
( $false
| spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f605]) ).
fof(f607,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f606]) ).
fof(f608,plain,
( use != use
| spl0_8 ),
inference(forward_demodulation,[status(thm)],[f273,f420]) ).
fof(f609,plain,
( $false
| spl0_8 ),
inference(trivial_equality_resolution,[status(esa)],[f608]) ).
fof(f610,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f609]) ).
fof(f611,plain,
( use != use
| spl0_7 ),
inference(forward_demodulation,[status(thm)],[f272,f417]) ).
fof(f612,plain,
( $false
| spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f611]) ).
fof(f613,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f612]) ).
fof(f614,plain,
( use != use
| spl0_6 ),
inference(forward_demodulation,[status(thm)],[f271,f414]) ).
fof(f615,plain,
( $false
| spl0_6 ),
inference(trivial_equality_resolution,[status(esa)],[f614]) ).
fof(f616,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f615]) ).
fof(f617,plain,
( use != use
| spl0_5 ),
inference(forward_demodulation,[status(thm)],[f270,f411]) ).
fof(f618,plain,
( $false
| spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f617]) ).
fof(f619,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f618]) ).
fof(f620,plain,
( use != use
| spl0_4 ),
inference(forward_demodulation,[status(thm)],[f269,f408]) ).
fof(f621,plain,
( $false
| spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f620]) ).
fof(f622,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f621]) ).
fof(f623,plain,
( use != use
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f268,f405]) ).
fof(f624,plain,
( $false
| spl0_3 ),
inference(trivial_equality_resolution,[status(esa)],[f623]) ).
fof(f625,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f624]) ).
fof(f626,plain,
( use != use
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f267,f402]) ).
fof(f627,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f626]) ).
fof(f628,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f627]) ).
fof(f629,plain,
( use != use
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f266,f399]) ).
fof(f630,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f629]) ).
fof(f631,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f630]) ).
fof(f632,plain,
( use != use
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f265,f396]) ).
fof(f633,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f632]) ).
fof(f634,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f633]) ).
fof(f660,plain,
( leq(n0,sk0_23)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f383,f482]) ).
fof(f663,plain,
( leq(n0,sk0_24)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f384,f482]) ).
fof(f666,plain,
( leq(sk0_23,n2)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f385,f482]) ).
fof(f672,plain,
( leq(sk0_24,pv5)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f386,f482]) ).
fof(f680,plain,
( spl0_37
<=> leq(n0,n0) ),
introduced(split_symbol_definition) ).
fof(f682,plain,
( ~ leq(n0,n0)
| spl0_37 ),
inference(component_clause,[status(thm)],[f680]) ).
fof(f683,plain,
( spl0_38
<=> leq(n2,n2) ),
introduced(split_symbol_definition) ).
fof(f685,plain,
( ~ leq(n2,n2)
| spl0_38 ),
inference(component_clause,[status(thm)],[f683]) ).
fof(f701,plain,
( $false
| spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f685,f109]) ).
fof(f702,plain,
spl0_38,
inference(contradiction_clause,[status(thm)],[f701]) ).
fof(f705,plain,
( $false
| spl0_37 ),
inference(forward_subsumption_resolution,[status(thm)],[f682,f109]) ).
fof(f706,plain,
spl0_37,
inference(contradiction_clause,[status(thm)],[f705]) ).
fof(f819,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| a_select3(u_defuse,X1,X0) != use
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,pv5) ),
inference(resolution,[status(thm)],[f387,f297]) ).
fof(f820,plain,
! [X0,X1] :
( ~ pd0_3(X0,X1)
| ~ leq(n0,X1)
| ~ leq(n0,X0)
| ~ leq(X1,n2)
| ~ leq(X0,pv5) ),
inference(forward_subsumption_resolution,[status(thm)],[f819,f296]) ).
fof(f849,plain,
( spl0_47
<=> leq(n0,sk0_23) ),
introduced(split_symbol_definition) ).
fof(f851,plain,
( ~ leq(n0,sk0_23)
| spl0_47 ),
inference(component_clause,[status(thm)],[f849]) ).
fof(f852,plain,
( spl0_48
<=> leq(n0,sk0_24) ),
introduced(split_symbol_definition) ).
fof(f854,plain,
( ~ leq(n0,sk0_24)
| spl0_48 ),
inference(component_clause,[status(thm)],[f852]) ).
fof(f855,plain,
( spl0_49
<=> leq(sk0_23,n2) ),
introduced(split_symbol_definition) ).
fof(f857,plain,
( ~ leq(sk0_23,n2)
| spl0_49 ),
inference(component_clause,[status(thm)],[f855]) ).
fof(f858,plain,
( spl0_50
<=> leq(sk0_24,pv5) ),
introduced(split_symbol_definition) ).
fof(f860,plain,
( ~ leq(sk0_24,pv5)
| spl0_50 ),
inference(component_clause,[status(thm)],[f858]) ).
fof(f861,plain,
( ~ leq(n0,sk0_23)
| ~ leq(n0,sk0_24)
| ~ leq(sk0_23,n2)
| ~ leq(sk0_24,pv5)
| ~ spl0_29 ),
inference(resolution,[status(thm)],[f820,f482]) ).
fof(f862,plain,
( ~ spl0_47
| ~ spl0_48
| ~ spl0_49
| ~ spl0_50
| ~ spl0_29 ),
inference(split_clause,[status(thm)],[f861,f849,f852,f855,f858,f481]) ).
fof(f863,plain,
( $false
| ~ spl0_29
| spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f860,f672]) ).
fof(f864,plain,
( ~ spl0_29
| spl0_50 ),
inference(contradiction_clause,[status(thm)],[f863]) ).
fof(f865,plain,
( $false
| ~ spl0_29
| spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f857,f666]) ).
fof(f866,plain,
( ~ spl0_29
| spl0_49 ),
inference(contradiction_clause,[status(thm)],[f865]) ).
fof(f867,plain,
( $false
| ~ spl0_29
| spl0_47 ),
inference(forward_subsumption_resolution,[status(thm)],[f851,f660]) ).
fof(f868,plain,
( ~ spl0_29
| spl0_47 ),
inference(contradiction_clause,[status(thm)],[f867]) ).
fof(f869,plain,
( leq(sk0_26,pred(pv5))
| ~ spl0_33 ),
inference(forward_demodulation,[status(thm)],[f227,f497]) ).
fof(f876,plain,
( spl0_51
<=> leq(sk0_26,pred(pv5)) ),
introduced(split_symbol_definition) ).
fof(f878,plain,
( ~ leq(sk0_26,pred(pv5))
| spl0_51 ),
inference(component_clause,[status(thm)],[f876]) ).
fof(f879,plain,
( ~ leq(n0,sk0_25)
| ~ leq(n0,sk0_26)
| ~ leq(sk0_25,n2)
| ~ leq(sk0_26,pred(pv5))
| spl0_34 ),
inference(resolution,[status(thm)],[f502,f527]) ).
fof(f880,plain,
( ~ spl0_30
| ~ spl0_31
| ~ spl0_32
| ~ spl0_51
| spl0_34 ),
inference(split_clause,[status(thm)],[f879,f484,f488,f492,f876,f500]) ).
fof(f886,plain,
( $false
| ~ spl0_33
| spl0_51 ),
inference(forward_subsumption_resolution,[status(thm)],[f878,f869]) ).
fof(f887,plain,
( ~ spl0_33
| spl0_51 ),
inference(contradiction_clause,[status(thm)],[f886]) ).
fof(f888,plain,
( $false
| spl0_48
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f854]) ).
fof(f889,plain,
( spl0_48
| ~ spl0_29 ),
inference(contradiction_clause,[status(thm)],[f888]) ).
fof(f890,plain,
( ~ leq(n0,sk0_25)
| ~ leq(n0,sk0_26)
| ~ leq(sk0_25,n2)
| ~ leq(sk0_26,pred(pv5))
| spl0_35 ),
inference(resolution,[status(thm)],[f505,f528]) ).
fof(f891,plain,
( ~ spl0_30
| ~ spl0_31
| ~ spl0_32
| ~ spl0_51
| spl0_35 ),
inference(split_clause,[status(thm)],[f890,f484,f488,f492,f876,f503]) ).
fof(f894,plain,
$false,
inference(sat_refutation,[status(thm)],[f487,f491,f495,f499,f506,f547,f552,f556,f559,f562,f565,f568,f571,f574,f577,f580,f583,f586,f589,f592,f595,f598,f601,f604,f607,f610,f613,f616,f619,f622,f625,f628,f631,f634,f702,f706,f862,f864,f866,f868,f880,f887,f889,f891]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV093+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Apr 30 00:51:13 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.38 % Drodi V3.6.0
% 0.20/0.51 % Refutation found
% 0.20/0.51 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.52 % Elapsed time: 0.160268 seconds
% 0.20/0.52 % CPU time: 1.013404 seconds
% 0.20/0.52 % Total memory used: 76.875 MB
% 0.20/0.52 % Net memory used: 76.444 MB
%------------------------------------------------------------------------------