%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SWV091+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:46:37 PM UTC 2026
% Result : Theorem 0.08s 0.49s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 84
% Number of leaves : 22
% Syntax : Number of formulae : 190 ( 88 unt; 0 def)
% Number of atoms : 1452 (1363 equ)
% Maximal formula atoms : 48 ( 7 avg)
% Number of connectives : 2045 ( 783 ~;1138 |; 117 &)
% ( 1 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 8 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 74 ( 74 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,Z] :
( ( gt(Y,Z)
& gt(X,Y) )
=> gt(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X] : ~ gt(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X] : leq(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( gt(Y,X)
=> leq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X,Y] :
( leq(X,Y)
=> leq(X,succ(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X,Y] :
( leq(X,Y)
<=> gt(succ(Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] : pred(succ(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f48,axiom,
! [X,U,VAL] : a_select2(tptp_update2(X,U,VAL),U) = VAL,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [I,U,X,VAL,VAL2] :
( ( a_select2(X,U) = VAL
& I != U )
=> a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,conjecture,
( ( 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_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n3) = use
& a_select3(u_defuse,n2,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n0,n0) = use
& a_select2(sigma_defuse,n5) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(rho_defuse,n2) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n0) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f54,negated_conjecture,
~ ( ( a_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_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use
& a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f64,axiom,
gt(n1,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f65,axiom,
gt(n2,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f66,axiom,
gt(n3,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,axiom,
gt(n2,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f83,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f84,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f86,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f88,plain,
! [X,Y,Z] :
( gt(X,Z)
| ~ gt(Y,Z)
| ~ gt(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f2]) ).
fof(f89,plain,
! [X,Z] :
( gt(X,Z)
| ! [Y] :
( ~ gt(Y,Z)
| ~ gt(X,Y) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f90,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f91,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f92,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f104,plain,
! [X,Y] :
( leq(X,Y)
| ~ gt(Y,X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f105,plain,
! [X0,X1] :
( leq(X1,X0)
| ~ gt(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f113,plain,
! [X,Y] :
( leq(X,succ(Y))
| ~ leq(X,Y) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f114,plain,
! [X0,X1] :
( leq(X0,succ(X1))
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ gt(succ(Y),X)
| leq(X,Y) )
& ( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(NNF_transformation,[status(thm)],[f13]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ gt(succ(Y),X)
| leq(X,Y) )
& ! [X,Y] :
( gt(succ(Y),X)
| ~ leq(X,Y) ) ),
inference(miniscoping,[status(thm)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( gt(succ(X1),X0)
| ~ leq(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f116]) ).
fof(f211,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f233,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f234,plain,
! [I,U,X,VAL,VAL2] :
( a_select2(tptp_update2(X,I,VAL2),U) = VAL
| a_select2(X,U) != VAL
| I = U ),
inference(pre_NNF_transformation,[status(thm)],[f49]) ).
fof(f235,plain,
! [I,U,X,VAL] :
( ! [VAL2] : a_select2(tptp_update2(X,I,VAL2),U) = VAL
| a_select2(X,U) != VAL
| I = U ),
inference(miniscoping,[status(thm)],[f234]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( a_select2(tptp_update2(X2,X0,X4),X1) = X3
| a_select2(X2,X1) != X3
| X0 = X1 ),
inference(cnf_transformation,[status(thm)],[f235]) ).
fof(f244,plain,
( ( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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_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(f245,plain,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f246,plain,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f247,plain,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f248,plain,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f249,plain,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f250,plain,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f251,plain,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f252,plain,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f253,plain,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f254,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f255,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f256,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f257,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f258,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f259,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f260,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f261,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f262,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f263,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f264,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f265,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[status(thm)],[f244]) ).
fof(f266,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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)],[f244]) ).
fof(f267,plain,
gt(n5,n4),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f276,plain,
gt(n1,n0),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f277,plain,
gt(n2,n0),
inference(cnf_transformation,[status(thm)],[f65]) ).
fof(f278,plain,
gt(n3,n0),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f281,plain,
gt(n2,n1),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f284,plain,
gt(n5,n2),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f287,plain,
gt(n5,n3),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f300,plain,
succ(succ(succ(succ(n0)))) = n4,
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f301,plain,
succ(succ(succ(succ(succ(n0))))) = n5,
inference(cnf_transformation,[status(thm)],[f83]) ).
fof(f302,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(thm)],[f84]) ).
fof(f303,plain,
succ(succ(n0)) = n2,
inference(cnf_transformation,[status(thm)],[f85]) ).
fof(f304,plain,
succ(succ(succ(n0))) = n3,
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f342,plain,
! [X0,X1,X2,X3] :
( a_select2(tptp_update2(X2,X0,X3),X1) = a_select2(X2,X1)
| X0 = X1 ),
inference(destructive_equality_resolution,[status(thm)],[f236]) ).
fof(f362,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1) ),
inference(resolution,[status(thm)],[f90,f91]) ).
fof(f395,plain,
leq(n0,n3),
inference(resolution,[status(thm)],[f105,f278]) ).
fof(f397,plain,
leq(n1,n2),
inference(resolution,[status(thm)],[f105,f281]) ).
fof(f398,plain,
leq(n0,n2),
inference(resolution,[status(thm)],[f105,f277]) ).
fof(f400,plain,
leq(n0,n1),
inference(resolution,[status(thm)],[f105,f276]) ).
fof(f406,plain,
leq(n3,n5),
inference(resolution,[status(thm)],[f105,f287]) ).
fof(f435,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use ),
inference(forward_demodulation,[status(thm)],[f245,f266]) ).
fof(f436,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f246,f435]) ).
fof(f437,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f247,f436]) ).
fof(f438,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f248,f437]) ).
fof(f439,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f249,f438]) ).
fof(f440,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f250,f439]) ).
fof(f441,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f251,f440]) ).
fof(f442,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f252,f441]) ).
fof(f443,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f253,f442]) ).
fof(f444,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f254,f443]) ).
fof(f445,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f255,f444]) ).
fof(f446,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f256,f445]) ).
fof(f447,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f257,f446]) ).
fof(f448,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f258,f447]) ).
fof(f449,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f259,f448]) ).
fof(f450,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f260,f449]) ).
fof(f451,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),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
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f261,f450]) ).
fof(f452,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| a_select2(xinit_mean_defuse,n3) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f262,f451]) ).
fof(f453,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| a_select2(xinit_mean_defuse,n4) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f263,f452]) ).
fof(f454,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| a_select2(xinit_mean_defuse,n5) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f264,f453]) ).
fof(f455,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f265,f454]) ).
fof(f456,plain,
( use != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use
| use != use ),
inference(forward_demodulation,[status(thm)],[f233,f455]) ).
fof(f457,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| use != use ),
inference(duplicate_literals_removal,[status(thm)],[f456]) ).
fof(f458,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ),
inference(trivial_equality_resolution,[status(thm)],[f457]) ).
fof(f459,plain,
( n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f458]) ).
fof(f460,plain,
( n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f459]) ).
fof(f461,plain,
( n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f460]) ).
fof(f462,plain,
( n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f461]) ).
fof(f463,plain,
( n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| use != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ),
inference(forward_demodulation,[status(thm)],[f233,f462]) ).
fof(f464,plain,
( n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use ),
inference(trivial_equality_resolution,[status(thm)],[f463]) ).
fof(f508,plain,
! [X0] : ~ leq(succ(X0),X0),
inference(resolution,[status(thm)],[f117,f91]) ).
fof(f522,plain,
( n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f464]) ).
fof(f523,plain,
( n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f522]) ).
fof(f524,plain,
( n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f523]) ).
fof(f525,plain,
( n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f524]) ).
fof(f526,plain,
( n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| use != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ),
inference(forward_demodulation,[status(thm)],[f233,f525]) ).
fof(f527,plain,
( n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use ),
inference(trivial_equality_resolution,[status(thm)],[f526]) ).
fof(f533,plain,
succ(n1) = n2,
inference(forward_demodulation,[status(thm)],[f302,f303]) ).
fof(f538,plain,
pred(n2) = n1,
inference(paramodulation,[status(thm)],[f533,f211]) ).
fof(f575,plain,
! [X0] : ~ leq(succ(succ(X0)),X0),
inference(resolution,[status(thm)],[f508,f114]) ).
fof(f577,plain,
~ leq(n2,n1),
inference(paramodulation,[status(thm)],[f533,f508]) ).
fof(f578,plain,
~ leq(n1,n0),
inference(paramodulation,[status(thm)],[f302,f508]) ).
fof(f598,plain,
( n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f527]) ).
fof(f599,plain,
( n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f598]) ).
fof(f600,plain,
( n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n2) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f599]) ).
fof(f601,plain,
( n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| use != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ),
inference(forward_demodulation,[status(thm)],[f233,f600]) ).
fof(f602,plain,
( n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use ),
inference(trivial_equality_resolution,[status(thm)],[f601]) ).
fof(f603,plain,
( n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f602]) ).
fof(f604,plain,
succ(succ(n1)) = n3,
inference(forward_demodulation,[status(thm)],[f302,f304]) ).
fof(f605,plain,
succ(n2) = n3,
inference(forward_demodulation,[status(thm)],[f533,f604]) ).
fof(f606,plain,
~ leq(n3,n2),
inference(paramodulation,[status(thm)],[f605,f508]) ).
fof(f611,plain,
pred(n3) = n2,
inference(paramodulation,[status(thm)],[f605,f211]) ).
fof(f685,plain,
~ gt(n2,n5),
inference(resolution,[status(thm)],[f362,f284]) ).
fof(f717,plain,
( n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n1) != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f603]) ).
fof(f718,plain,
( n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| use != use
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use ),
inference(forward_demodulation,[status(thm)],[f233,f717]) ).
fof(f719,plain,
( n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use ),
inference(trivial_equality_resolution,[status(thm)],[f718]) ).
fof(f720,plain,
( n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f719]) ).
fof(f721,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| a_select2(tptp_update2(xinit_noise_defuse,n0,use),n0) != use ),
inference(paramodulation,[status(thm)],[f342,f720]) ).
fof(f722,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1
| use != use ),
inference(forward_demodulation,[status(thm)],[f233,f721]) ).
fof(f723,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n2
| n5 = n1 ),
inference(trivial_equality_resolution,[status(thm)],[f722]) ).
fof(f730,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n1
| leq(n3,n2) ),
inference(paramodulation,[status(thm)],[f723,f406]) ).
fof(f749,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n3
| n5 = n1 ),
inference(forward_subsumption_resolution,[status(thm)],[f730,f606]) ).
fof(f775,plain,
succ(succ(succ(n1))) = n4,
inference(forward_demodulation,[status(thm)],[f302,f300]) ).
fof(f776,plain,
succ(succ(n2)) = n4,
inference(forward_demodulation,[status(thm)],[f533,f775]) ).
fof(f779,plain,
succ(n3) = n4,
inference(forward_demodulation,[status(thm)],[f605,f776]) ).
fof(f786,plain,
pred(n4) = n3,
inference(paramodulation,[status(thm)],[f779,f211]) ).
fof(f788,plain,
succ(succ(succ(succ(n1)))) = n5,
inference(forward_demodulation,[status(thm)],[f302,f301]) ).
fof(f789,plain,
succ(succ(succ(n2))) = n5,
inference(forward_demodulation,[status(thm)],[f533,f788]) ).
fof(f790,plain,
succ(succ(n3)) = n5,
inference(forward_demodulation,[status(thm)],[f605,f789]) ).
fof(f791,plain,
succ(n4) = n5,
inference(forward_demodulation,[status(thm)],[f779,f790]) ).
fof(f867,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n1
| gt(n3,n3) ),
inference(paramodulation,[status(thm)],[f749,f287]) ).
fof(f883,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n4
| n5 = n1 ),
inference(forward_subsumption_resolution,[status(thm)],[f867,f91]) ).
fof(f909,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n1
| gt(n4,n4) ),
inference(paramodulation,[status(thm)],[f883,f267]) ).
fof(f918,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| n5 = n1 ),
inference(forward_subsumption_resolution,[status(thm)],[f909,f91]) ).
fof(f921,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0
| ~ gt(n2,n1) ),
inference(paramodulation,[status(thm)],[f918,f685]) ).
fof(f945,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| n5 = n0 ),
inference(forward_subsumption_resolution,[status(thm)],[f921,f281]) ).
fof(f1028,plain,
~ leq(succ(n4),n3),
inference(paramodulation,[status(thm)],[f779,f575]) ).
fof(f1029,plain,
~ leq(succ(n3),n2),
inference(paramodulation,[status(thm)],[f605,f575]) ).
fof(f1030,plain,
~ leq(succ(n2),n1),
inference(paramodulation,[status(thm)],[f533,f575]) ).
fof(f1031,plain,
~ leq(succ(n1),n0),
inference(paramodulation,[status(thm)],[f302,f575]) ).
fof(f1035,plain,
~ leq(n5,n3),
inference(forward_demodulation,[status(thm)],[f791,f1028]) ).
fof(f1036,plain,
~ leq(n4,n2),
inference(forward_demodulation,[status(thm)],[f779,f1029]) ).
fof(f1037,plain,
~ leq(n3,n1),
inference(forward_demodulation,[status(thm)],[f605,f1030]) ).
fof(f1038,plain,
~ leq(n2,n0),
inference(forward_demodulation,[status(thm)],[f533,f1031]) ).
fof(f1056,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1
| ~ leq(n0,n3) ),
inference(paramodulation,[status(thm)],[f945,f1035]) ).
fof(f1085,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n2
| n4 = n1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1056,f395]) ).
fof(f1100,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n1
| ~ leq(n2,n2) ),
inference(paramodulation,[status(thm)],[f1085,f1036]) ).
fof(f1139,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n3
| n4 = n1 ),
inference(forward_subsumption_resolution,[status(thm)],[f1100,f92]) ).
fof(f1155,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n1
| pred(n3) = n3 ),
inference(paramodulation,[status(thm)],[f1139,f786]) ).
fof(f1191,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n2
| n3 = n1
| n4 = n0
| n4 = n1
| n2 = n3 ),
inference(forward_demodulation,[status(thm)],[f611,f1155]) ).
fof(f1192,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n1
| n4 = n0
| n4 = n1
| n2 = n3 ),
inference(duplicate_literals_removal,[status(thm)],[f1191]) ).
fof(f1371,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n1
| n4 = n0
| n2 = n3
| ~ leq(n1,n2) ),
inference(paramodulation,[status(thm)],[f1192,f1036]) ).
fof(f1408,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n1
| n4 = n0
| n2 = n3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1371,f397]) ).
fof(f1425,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n1
| n2 = n3
| ~ leq(n0,n2) ),
inference(paramodulation,[status(thm)],[f1408,f1036]) ).
fof(f1461,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n1
| n2 = n3 ),
inference(forward_subsumption_resolution,[status(thm)],[f1425,f398]) ).
fof(f1488,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n1
| pred(n2) = n2 ),
inference(paramodulation,[status(thm)],[f1461,f611]) ).
fof(f1522,plain,
( n1 = n0
| n2 = n0
| n2 = n1
| n3 = n0
| n3 = n1
| n1 = n2 ),
inference(forward_demodulation,[status(thm)],[f538,f1488]) ).
fof(f1523,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| n3 = n1
| n1 = n2 ),
inference(duplicate_literals_removal,[status(thm)],[f1522]) ).
fof(f1692,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| n1 = n2
| ~ leq(n1,n1) ),
inference(paramodulation,[status(thm)],[f1523,f1037]) ).
fof(f1735,plain,
( n1 = n0
| n2 = n0
| n3 = n0
| n1 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1692,f92]) ).
fof(f1746,plain,
( n1 = n0
| n2 = n0
| n1 = n2
| ~ leq(n0,n1) ),
inference(paramodulation,[status(thm)],[f1735,f1037]) ).
fof(f1788,plain,
( n1 = n0
| n2 = n0
| n1 = n2 ),
inference(forward_subsumption_resolution,[status(thm)],[f1746,f400]) ).
fof(f1822,plain,
( n1 = n0
| n2 = n0
| ~ leq(n1,n1) ),
inference(paramodulation,[status(thm)],[f1788,f577]) ).
fof(f1854,plain,
( n1 = n0
| n2 = n0 ),
inference(forward_subsumption_resolution,[status(thm)],[f1822,f92]) ).
fof(f1864,plain,
( n1 = n0
| ~ leq(n0,n0) ),
inference(paramodulation,[status(thm)],[f1854,f1038]) ).
fof(f1910,plain,
n1 = n0,
inference(forward_subsumption_resolution,[status(thm)],[f1864,f92]) ).
fof(f1949,plain,
~ leq(n0,n0),
inference(backward_demodulation,[status(thm)],[f1910,f578]) ).
fof(f2027,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1949,f92]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV091+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n026.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 08:32:51 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.49 % Refutation found
% 0.08/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.08/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.63/0.52 % Elapsed time: 0.147621 seconds
% 0.63/0.52 % CPU time: 0.770755 seconds
% 0.63/0.52 % Total memory used: 120.138 MB
% 0.63/0.52 % Net memory used: 118.792 MB
%------------------------------------------------------------------------------