TSTP Solution File: SWV091+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SWV091+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n006.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 20:45:57 EDT 2024
% Result : Theorem 0.17s 0.46s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 73
% Syntax : Number of formulae : 333 ( 89 unt; 0 def)
% Number of atoms : 808 ( 385 equ)
% Maximal formula atoms : 48 ( 2 avg)
% Number of connectives : 731 ( 256 ~; 301 |; 114 &)
% ( 57 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 60 ( 58 usr; 58 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 13 con; 0-3 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X] : ~ gt(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] :
( ( I != U
& a_select2(X,U) = VAL )
=> a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
file('/export/starexec/sandbox/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(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(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(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),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),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),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),n5) = use ) ),
file('/export/starexec/sandbox/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(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(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(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),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),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),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),n5) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f55,axiom,
gt(n5,n4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f62,axiom,
gt(n4,n0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f63,axiom,
gt(n5,n0),
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(f71,axiom,
gt(n4,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
gt(n5,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f73,axiom,
gt(n3,n2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,axiom,
gt(n4,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,axiom,
gt(n5,n3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f91,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f233,plain,
! [X0,X1,X2] : a_select2(tptp_update2(X0,X1,X2),X1) = X2,
inference(cnf_transformation,[status(esa)],[f48]) ).
fof(f234,plain,
! [I,U,X,VAL,VAL2] :
( I = U
| a_select2(X,U) != VAL
| a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
inference(pre_NNF_transformation,[status(esa)],[f49]) ).
fof(f235,plain,
! [I,U,X,VAL] :
( I = U
| a_select2(X,U) != VAL
| ! [VAL2] : a_select2(tptp_update2(X,I,VAL2),U) = VAL ),
inference(miniscoping,[status(esa)],[f234]) ).
fof(f236,plain,
! [X0,X1,X2,X3,X4] :
( X0 = X1
| a_select2(X2,X1) != X3
| a_select2(tptp_update2(X2,X0,X4),X1) = X3 ),
inference(cnf_transformation,[status(esa)],[f235]) ).
fof(f244,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(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(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(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),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),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),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),n5) != use ) ),
inference(pre_NNF_transformation,[status(esa)],[f54]) ).
fof(f245,plain,
a_select2(rho_defuse,n0) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f246,plain,
a_select2(rho_defuse,n1) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f247,plain,
a_select2(rho_defuse,n2) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f248,plain,
a_select2(sigma_defuse,n0) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f249,plain,
a_select2(sigma_defuse,n1) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f250,plain,
a_select2(sigma_defuse,n2) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f251,plain,
a_select2(sigma_defuse,n3) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f252,plain,
a_select2(sigma_defuse,n4) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f253,plain,
a_select2(sigma_defuse,n5) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f254,plain,
a_select3(u_defuse,n0,n0) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f255,plain,
a_select3(u_defuse,n1,n0) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f256,plain,
a_select3(u_defuse,n2,n0) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f257,plain,
a_select2(xinit_defuse,n3) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f258,plain,
a_select2(xinit_defuse,n4) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f259,plain,
a_select2(xinit_defuse,n5) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f260,plain,
a_select2(xinit_mean_defuse,n0) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f261,plain,
a_select2(xinit_mean_defuse,n1) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f262,plain,
a_select2(xinit_mean_defuse,n2) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f263,plain,
a_select2(xinit_mean_defuse,n3) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f264,plain,
a_select2(xinit_mean_defuse,n4) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f265,plain,
a_select2(xinit_mean_defuse,n5) = use,
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f266,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(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(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),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),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),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),n5) != use ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f267,plain,
gt(n5,n4),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f274,plain,
gt(n4,n0),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f275,plain,
gt(n5,n0),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f276,plain,
gt(n1,n0),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f277,plain,
gt(n2,n0),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f278,plain,
gt(n3,n0),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f281,plain,
gt(n2,n1),
inference(cnf_transformation,[status(esa)],[f69]) ).
fof(f283,plain,
gt(n4,n2),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f284,plain,
gt(n5,n2),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f285,plain,
gt(n3,n2),
inference(cnf_transformation,[status(esa)],[f73]) ).
fof(f286,plain,
gt(n4,n3),
inference(cnf_transformation,[status(esa)],[f74]) ).
fof(f287,plain,
gt(n5,n3),
inference(cnf_transformation,[status(esa)],[f75]) ).
fof(f332,plain,
( spl0_0
<=> a_select2(rho_defuse,n0) = use ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( a_select2(rho_defuse,n0) != use
| spl0_0 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( spl0_1
<=> a_select2(rho_defuse,n1) = use ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( a_select2(rho_defuse,n1) != use
| spl0_1 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( spl0_2
<=> a_select2(rho_defuse,n2) = use ),
introduced(split_symbol_definition) ).
fof(f340,plain,
( a_select2(rho_defuse,n2) != use
| spl0_2 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_3
<=> a_select2(sigma_defuse,n0) = use ),
introduced(split_symbol_definition) ).
fof(f343,plain,
( a_select2(sigma_defuse,n0) != use
| spl0_3 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_4
<=> a_select2(sigma_defuse,n1) = use ),
introduced(split_symbol_definition) ).
fof(f346,plain,
( a_select2(sigma_defuse,n1) != use
| spl0_4 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_5
<=> a_select2(sigma_defuse,n2) = use ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( a_select2(sigma_defuse,n2) != use
| spl0_5 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( spl0_6
<=> a_select2(sigma_defuse,n3) = use ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( a_select2(sigma_defuse,n3) != use
| spl0_6 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( spl0_7
<=> a_select2(sigma_defuse,n4) = use ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( a_select2(sigma_defuse,n4) != use
| spl0_7 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( spl0_8
<=> a_select2(sigma_defuse,n5) = use ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( a_select2(sigma_defuse,n5) != use
| spl0_8 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( spl0_9
<=> a_select3(u_defuse,n0,n0) = use ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( a_select3(u_defuse,n0,n0) != use
| spl0_9 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( spl0_10
<=> a_select3(u_defuse,n1,n0) = use ),
introduced(split_symbol_definition) ).
fof(f364,plain,
( a_select3(u_defuse,n1,n0) != use
| spl0_10 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( spl0_11
<=> a_select3(u_defuse,n2,n0) = use ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( a_select3(u_defuse,n2,n0) != use
| spl0_11 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( spl0_12
<=> a_select2(xinit_defuse,n3) = use ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( a_select2(xinit_defuse,n3) != use
| spl0_12 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( spl0_13
<=> a_select2(xinit_defuse,n4) = use ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( a_select2(xinit_defuse,n4) != use
| spl0_13 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( spl0_14
<=> a_select2(xinit_defuse,n5) = use ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( a_select2(xinit_defuse,n5) != use
| spl0_14 ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( spl0_15
<=> a_select2(xinit_mean_defuse,n0) = use ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( a_select2(xinit_mean_defuse,n0) != use
| spl0_15 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_16
<=> a_select2(xinit_mean_defuse,n1) = use ),
introduced(split_symbol_definition) ).
fof(f382,plain,
( a_select2(xinit_mean_defuse,n1) != use
| spl0_16 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( spl0_17
<=> a_select2(xinit_mean_defuse,n2) = use ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( a_select2(xinit_mean_defuse,n2) != use
| spl0_17 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( spl0_18
<=> a_select2(xinit_mean_defuse,n3) = use ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( a_select2(xinit_mean_defuse,n3) != use
| spl0_18 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,plain,
( spl0_19
<=> a_select2(xinit_mean_defuse,n4) = use ),
introduced(split_symbol_definition) ).
fof(f391,plain,
( a_select2(xinit_mean_defuse,n4) != use
| spl0_19 ),
inference(component_clause,[status(thm)],[f389]) ).
fof(f392,plain,
( spl0_20
<=> a_select2(xinit_mean_defuse,n5) = use ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( a_select2(xinit_mean_defuse,n5) != use
| spl0_20 ),
inference(component_clause,[status(thm)],[f392]) ).
fof(f395,plain,
( spl0_21
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f397,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),n0) != use
| spl0_21 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( spl0_22
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f400,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),n1) != use
| spl0_22 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( spl0_23
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f403,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),n2) != use
| spl0_23 ),
inference(component_clause,[status(thm)],[f401]) ).
fof(f404,plain,
( spl0_24
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f406,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),n3) != use
| spl0_24 ),
inference(component_clause,[status(thm)],[f404]) ).
fof(f407,plain,
( spl0_25
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f409,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
| spl0_25 ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f410,plain,
( spl0_26
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f412,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
| spl0_26 ),
inference(component_clause,[status(thm)],[f410]) ).
fof(f413,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 ),
inference(split_clause,[status(thm)],[f266,f332,f335,f338,f341,f344,f347,f350,f353,f356,f359,f362,f365,f368,f371,f374,f377,f380,f383,f386,f389,f392,f395,f398,f401,f404,f407,f410]) ).
fof(f431,plain,
! [X0,X1,X2,X3] :
( X0 = X1
| a_select2(tptp_update2(X2,X0,X3),X1) = a_select2(X2,X1) ),
inference(destructive_equality_resolution,[status(esa)],[f236]) ).
fof(f442,plain,
( use != use
| spl0_26 ),
inference(forward_demodulation,[status(thm)],[f233,f412]) ).
fof(f443,plain,
( $false
| spl0_26 ),
inference(trivial_equality_resolution,[status(esa)],[f442]) ).
fof(f444,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f443]) ).
fof(f466,plain,
( spl0_27
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f468,plain,
( 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
| spl0_27 ),
inference(component_clause,[status(thm)],[f466]) ).
fof(f469,plain,
( spl0_28
<=> n5 = n4 ),
introduced(split_symbol_definition) ).
fof(f470,plain,
( n5 = n4
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f469]) ).
fof(f472,plain,
( 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
| n5 = n4
| spl0_25 ),
inference(paramodulation,[status(thm)],[f431,f409]) ).
fof(f473,plain,
( ~ spl0_27
| spl0_28
| spl0_25 ),
inference(split_clause,[status(thm)],[f472,f466,f469,f407]) ).
fof(f474,plain,
( use != use
| spl0_27 ),
inference(forward_demodulation,[status(thm)],[f233,f468]) ).
fof(f475,plain,
( $false
| spl0_27 ),
inference(trivial_equality_resolution,[status(esa)],[f474]) ).
fof(f476,plain,
spl0_27,
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f480,plain,
( gt(n4,n4)
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f470,f267]) ).
fof(f481,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f480,f91]) ).
fof(f482,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f481]) ).
fof(f483,plain,
( spl0_29
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f485,plain,
( 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
| spl0_29 ),
inference(component_clause,[status(thm)],[f483]) ).
fof(f486,plain,
( spl0_30
<=> n5 = n3 ),
introduced(split_symbol_definition) ).
fof(f487,plain,
( n5 = n3
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f486]) ).
fof(f489,plain,
( 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
| n5 = n3
| spl0_24 ),
inference(paramodulation,[status(thm)],[f431,f406]) ).
fof(f490,plain,
( ~ spl0_29
| spl0_30
| spl0_24 ),
inference(split_clause,[status(thm)],[f489,f483,f486,f404]) ).
fof(f491,plain,
( spl0_31
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n3) = use ),
introduced(split_symbol_definition) ).
fof(f493,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use
| spl0_31 ),
inference(component_clause,[status(thm)],[f491]) ).
fof(f494,plain,
( spl0_32
<=> n4 = n3 ),
introduced(split_symbol_definition) ).
fof(f495,plain,
( n4 = n3
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f494]) ).
fof(f497,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use
| n4 = n3
| spl0_29 ),
inference(paramodulation,[status(thm)],[f431,f485]) ).
fof(f498,plain,
( ~ spl0_31
| spl0_32
| spl0_29 ),
inference(split_clause,[status(thm)],[f497,f491,f494,f483]) ).
fof(f499,plain,
( use != use
| spl0_31 ),
inference(forward_demodulation,[status(thm)],[f233,f493]) ).
fof(f500,plain,
( $false
| spl0_31 ),
inference(trivial_equality_resolution,[status(esa)],[f499]) ).
fof(f501,plain,
spl0_31,
inference(contradiction_clause,[status(thm)],[f500]) ).
fof(f502,plain,
( use != use
| spl0_20 ),
inference(forward_demodulation,[status(thm)],[f265,f394]) ).
fof(f503,plain,
( $false
| spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f502]) ).
fof(f504,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f503]) ).
fof(f505,plain,
( use != use
| spl0_19 ),
inference(forward_demodulation,[status(thm)],[f264,f391]) ).
fof(f506,plain,
( $false
| spl0_19 ),
inference(trivial_equality_resolution,[status(esa)],[f505]) ).
fof(f507,plain,
spl0_19,
inference(contradiction_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( use != use
| spl0_18 ),
inference(forward_demodulation,[status(thm)],[f263,f388]) ).
fof(f509,plain,
( $false
| spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f508]) ).
fof(f510,plain,
spl0_18,
inference(contradiction_clause,[status(thm)],[f509]) ).
fof(f511,plain,
( use != use
| spl0_17 ),
inference(forward_demodulation,[status(thm)],[f262,f385]) ).
fof(f512,plain,
( $false
| spl0_17 ),
inference(trivial_equality_resolution,[status(esa)],[f511]) ).
fof(f513,plain,
spl0_17,
inference(contradiction_clause,[status(thm)],[f512]) ).
fof(f514,plain,
( use != use
| spl0_16 ),
inference(forward_demodulation,[status(thm)],[f261,f382]) ).
fof(f515,plain,
( $false
| spl0_16 ),
inference(trivial_equality_resolution,[status(esa)],[f514]) ).
fof(f516,plain,
spl0_16,
inference(contradiction_clause,[status(thm)],[f515]) ).
fof(f517,plain,
( use != use
| spl0_15 ),
inference(forward_demodulation,[status(thm)],[f260,f379]) ).
fof(f518,plain,
( $false
| spl0_15 ),
inference(trivial_equality_resolution,[status(esa)],[f517]) ).
fof(f519,plain,
spl0_15,
inference(contradiction_clause,[status(thm)],[f518]) ).
fof(f520,plain,
( use != use
| spl0_14 ),
inference(forward_demodulation,[status(thm)],[f259,f376]) ).
fof(f521,plain,
( $false
| spl0_14 ),
inference(trivial_equality_resolution,[status(esa)],[f520]) ).
fof(f522,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f521]) ).
fof(f523,plain,
( use != use
| spl0_13 ),
inference(forward_demodulation,[status(thm)],[f258,f373]) ).
fof(f524,plain,
( $false
| spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f523]) ).
fof(f525,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f524]) ).
fof(f526,plain,
( use != use
| spl0_12 ),
inference(forward_demodulation,[status(thm)],[f257,f370]) ).
fof(f527,plain,
( $false
| spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f526]) ).
fof(f528,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f527]) ).
fof(f529,plain,
( use != use
| spl0_11 ),
inference(forward_demodulation,[status(thm)],[f256,f367]) ).
fof(f530,plain,
( $false
| spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f529]) ).
fof(f531,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f530]) ).
fof(f532,plain,
( use != use
| spl0_10 ),
inference(forward_demodulation,[status(thm)],[f255,f364]) ).
fof(f533,plain,
( $false
| spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f532]) ).
fof(f534,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f533]) ).
fof(f535,plain,
( use != use
| spl0_9 ),
inference(forward_demodulation,[status(thm)],[f254,f361]) ).
fof(f536,plain,
( $false
| spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f535]) ).
fof(f537,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f536]) ).
fof(f538,plain,
( use != use
| spl0_8 ),
inference(forward_demodulation,[status(thm)],[f253,f358]) ).
fof(f539,plain,
( $false
| spl0_8 ),
inference(trivial_equality_resolution,[status(esa)],[f538]) ).
fof(f540,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f541,plain,
( use != use
| spl0_7 ),
inference(forward_demodulation,[status(thm)],[f252,f355]) ).
fof(f542,plain,
( $false
| spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f541]) ).
fof(f543,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f542]) ).
fof(f544,plain,
( use != use
| spl0_6 ),
inference(forward_demodulation,[status(thm)],[f251,f352]) ).
fof(f545,plain,
( $false
| spl0_6 ),
inference(trivial_equality_resolution,[status(esa)],[f544]) ).
fof(f546,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f545]) ).
fof(f547,plain,
( use != use
| spl0_5 ),
inference(forward_demodulation,[status(thm)],[f250,f349]) ).
fof(f548,plain,
( $false
| spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f547]) ).
fof(f549,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f548]) ).
fof(f550,plain,
( use != use
| spl0_4 ),
inference(forward_demodulation,[status(thm)],[f249,f346]) ).
fof(f551,plain,
( $false
| spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f550]) ).
fof(f552,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
( use != use
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f248,f343]) ).
fof(f554,plain,
( $false
| spl0_3 ),
inference(trivial_equality_resolution,[status(esa)],[f553]) ).
fof(f555,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f554]) ).
fof(f556,plain,
( use != use
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f247,f340]) ).
fof(f557,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f556]) ).
fof(f558,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f557]) ).
fof(f559,plain,
( use != use
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f246,f337]) ).
fof(f560,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f559]) ).
fof(f561,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f560]) ).
fof(f562,plain,
( use != use
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f245,f334]) ).
fof(f563,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f562]) ).
fof(f564,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f563]) ).
fof(f588,plain,
( gt(n3,n3)
| ~ spl0_32 ),
inference(backward_demodulation,[status(thm)],[f495,f286]) ).
fof(f589,plain,
( $false
| ~ spl0_32 ),
inference(forward_subsumption_resolution,[status(thm)],[f588,f91]) ).
fof(f590,plain,
~ spl0_32,
inference(contradiction_clause,[status(thm)],[f589]) ).
fof(f596,plain,
( gt(n3,n3)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f487,f287]) ).
fof(f597,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f596,f91]) ).
fof(f598,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f597]) ).
fof(f599,plain,
( spl0_33
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f601,plain,
( 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
| spl0_33 ),
inference(component_clause,[status(thm)],[f599]) ).
fof(f602,plain,
( spl0_34
<=> n5 = n2 ),
introduced(split_symbol_definition) ).
fof(f603,plain,
( n5 = n2
| ~ spl0_34 ),
inference(component_clause,[status(thm)],[f602]) ).
fof(f605,plain,
( 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
| n5 = n2
| spl0_23 ),
inference(paramodulation,[status(thm)],[f431,f403]) ).
fof(f606,plain,
( ~ spl0_33
| spl0_34
| spl0_23 ),
inference(split_clause,[status(thm)],[f605,f599,f602,f401]) ).
fof(f611,plain,
( spl0_35
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) = use ),
introduced(split_symbol_definition) ).
fof(f613,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| spl0_35 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( spl0_36
<=> n4 = n2 ),
introduced(split_symbol_definition) ).
fof(f615,plain,
( n4 = n2
| ~ spl0_36 ),
inference(component_clause,[status(thm)],[f614]) ).
fof(f617,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| n4 = n2
| spl0_33 ),
inference(paramodulation,[status(thm)],[f431,f601]) ).
fof(f618,plain,
( ~ spl0_35
| spl0_36
| spl0_33 ),
inference(split_clause,[status(thm)],[f617,f611,f614,f599]) ).
fof(f625,plain,
( spl0_37
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n2) = use ),
introduced(split_symbol_definition) ).
fof(f627,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n2) != use
| spl0_37 ),
inference(component_clause,[status(thm)],[f625]) ).
fof(f628,plain,
( spl0_38
<=> n3 = n2 ),
introduced(split_symbol_definition) ).
fof(f629,plain,
( n3 = n2
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f628]) ).
fof(f631,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n2) != use
| n3 = n2
| spl0_35 ),
inference(paramodulation,[status(thm)],[f431,f613]) ).
fof(f632,plain,
( ~ spl0_37
| spl0_38
| spl0_35 ),
inference(split_clause,[status(thm)],[f631,f625,f628,f611]) ).
fof(f633,plain,
( use != use
| spl0_37 ),
inference(forward_demodulation,[status(thm)],[f233,f627]) ).
fof(f634,plain,
( $false
| spl0_37 ),
inference(trivial_equality_resolution,[status(esa)],[f633]) ).
fof(f635,plain,
spl0_37,
inference(contradiction_clause,[status(thm)],[f634]) ).
fof(f649,plain,
( gt(n2,n2)
| ~ spl0_36 ),
inference(backward_demodulation,[status(thm)],[f615,f283]) ).
fof(f650,plain,
( $false
| ~ spl0_36 ),
inference(forward_subsumption_resolution,[status(thm)],[f649,f91]) ).
fof(f651,plain,
~ spl0_36,
inference(contradiction_clause,[status(thm)],[f650]) ).
fof(f662,plain,
( gt(n2,n2)
| ~ spl0_34 ),
inference(backward_demodulation,[status(thm)],[f603,f284]) ).
fof(f663,plain,
( $false
| ~ spl0_34 ),
inference(forward_subsumption_resolution,[status(thm)],[f662,f91]) ).
fof(f664,plain,
~ spl0_34,
inference(contradiction_clause,[status(thm)],[f663]) ).
fof(f665,plain,
( spl0_39
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f667,plain,
( 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
| spl0_39 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( spl0_40
<=> n5 = n0 ),
introduced(split_symbol_definition) ).
fof(f669,plain,
( n5 = n0
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f668]) ).
fof(f671,plain,
( 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
| n5 = n0
| spl0_21 ),
inference(paramodulation,[status(thm)],[f431,f397]) ).
fof(f672,plain,
( ~ spl0_39
| spl0_40
| spl0_21 ),
inference(split_clause,[status(thm)],[f671,f665,f668,f395]) ).
fof(f705,plain,
( gt(n2,n2)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f629,f285]) ).
fof(f706,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f91]) ).
fof(f707,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f706]) ).
fof(f712,plain,
( spl0_41
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f714,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
| spl0_41 ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( spl0_42
<=> n4 = n0 ),
introduced(split_symbol_definition) ).
fof(f716,plain,
( n4 = n0
| ~ spl0_42 ),
inference(component_clause,[status(thm)],[f715]) ).
fof(f718,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
| n4 = n0
| spl0_39 ),
inference(paramodulation,[status(thm)],[f431,f667]) ).
fof(f719,plain,
( ~ spl0_41
| spl0_42
| spl0_39 ),
inference(split_clause,[status(thm)],[f718,f712,f715,f665]) ).
fof(f733,plain,
( spl0_43
<=> 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 ),
introduced(split_symbol_definition) ).
fof(f735,plain,
( 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
| spl0_43 ),
inference(component_clause,[status(thm)],[f733]) ).
fof(f736,plain,
( spl0_44
<=> n5 = n1 ),
introduced(split_symbol_definition) ).
fof(f737,plain,
( n5 = n1
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f736]) ).
fof(f739,plain,
( 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
| n5 = n1
| spl0_22 ),
inference(paramodulation,[status(thm)],[f431,f400]) ).
fof(f740,plain,
( ~ spl0_43
| spl0_44
| spl0_22 ),
inference(split_clause,[status(thm)],[f739,f733,f736,f398]) ).
fof(f819,plain,
( spl0_45
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f821,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use
| spl0_45 ),
inference(component_clause,[status(thm)],[f819]) ).
fof(f822,plain,
( spl0_46
<=> n3 = n0 ),
introduced(split_symbol_definition) ).
fof(f823,plain,
( n3 = n0
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n0) != use
| n3 = n0
| spl0_41 ),
inference(paramodulation,[status(thm)],[f431,f714]) ).
fof(f826,plain,
( ~ spl0_45
| spl0_46
| spl0_41 ),
inference(split_clause,[status(thm)],[f825,f819,f822,f712]) ).
fof(f827,plain,
( spl0_47
<=> a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f829,plain,
( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use
| spl0_47 ),
inference(component_clause,[status(thm)],[f827]) ).
fof(f830,plain,
( spl0_48
<=> n2 = n0 ),
introduced(split_symbol_definition) ).
fof(f831,plain,
( n2 = n0
| ~ spl0_48 ),
inference(component_clause,[status(thm)],[f830]) ).
fof(f833,plain,
( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n0) != use
| n2 = n0
| spl0_45 ),
inference(paramodulation,[status(thm)],[f431,f821]) ).
fof(f834,plain,
( ~ spl0_47
| spl0_48
| spl0_45 ),
inference(split_clause,[status(thm)],[f833,f827,f830,f819]) ).
fof(f843,plain,
( spl0_49
<=> a_select2(tptp_update2(xinit_noise_defuse,n0,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f845,plain,
( a_select2(tptp_update2(xinit_noise_defuse,n0,use),n0) != use
| spl0_49 ),
inference(component_clause,[status(thm)],[f843]) ).
fof(f846,plain,
( spl0_50
<=> n1 = n0 ),
introduced(split_symbol_definition) ).
fof(f847,plain,
( n1 = n0
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f846]) ).
fof(f849,plain,
( a_select2(tptp_update2(xinit_noise_defuse,n0,use),n0) != use
| n1 = n0
| spl0_47 ),
inference(paramodulation,[status(thm)],[f431,f829]) ).
fof(f850,plain,
( ~ spl0_49
| spl0_50
| spl0_47 ),
inference(split_clause,[status(thm)],[f849,f843,f846,f827]) ).
fof(f851,plain,
( use != use
| spl0_49 ),
inference(forward_demodulation,[status(thm)],[f233,f845]) ).
fof(f852,plain,
( $false
| spl0_49 ),
inference(trivial_equality_resolution,[status(esa)],[f851]) ).
fof(f853,plain,
spl0_49,
inference(contradiction_clause,[status(thm)],[f852]) ).
fof(f879,plain,
( gt(n0,n0)
| ~ spl0_50 ),
inference(backward_demodulation,[status(thm)],[f847,f276]) ).
fof(f880,plain,
( $false
| ~ spl0_50 ),
inference(forward_subsumption_resolution,[status(thm)],[f879,f91]) ).
fof(f881,plain,
~ spl0_50,
inference(contradiction_clause,[status(thm)],[f880]) ).
fof(f887,plain,
( gt(n0,n0)
| ~ spl0_48 ),
inference(backward_demodulation,[status(thm)],[f831,f277]) ).
fof(f888,plain,
( $false
| ~ spl0_48 ),
inference(forward_subsumption_resolution,[status(thm)],[f887,f91]) ).
fof(f889,plain,
~ spl0_48,
inference(contradiction_clause,[status(thm)],[f888]) ).
fof(f913,plain,
( gt(n0,n0)
| ~ spl0_42 ),
inference(backward_demodulation,[status(thm)],[f716,f274]) ).
fof(f914,plain,
( $false
| ~ spl0_42 ),
inference(forward_subsumption_resolution,[status(thm)],[f913,f91]) ).
fof(f915,plain,
~ spl0_42,
inference(contradiction_clause,[status(thm)],[f914]) ).
fof(f924,plain,
( gt(n0,n0)
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f669,f275]) ).
fof(f925,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f924,f91]) ).
fof(f926,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f925]) ).
fof(f951,plain,
( gt(n0,n0)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f823,f278]) ).
fof(f952,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f951,f91]) ).
fof(f953,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f952]) ).
fof(f962,plain,
( spl0_51
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) = use ),
introduced(split_symbol_definition) ).
fof(f964,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| spl0_51 ),
inference(component_clause,[status(thm)],[f962]) ).
fof(f965,plain,
( spl0_52
<=> n4 = n1 ),
introduced(split_symbol_definition) ).
fof(f966,plain,
( n4 = n1
| ~ spl0_52 ),
inference(component_clause,[status(thm)],[f965]) ).
fof(f968,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| n4 = n1
| spl0_43 ),
inference(paramodulation,[status(thm)],[f431,f735]) ).
fof(f969,plain,
( ~ spl0_51
| spl0_52
| spl0_43 ),
inference(split_clause,[status(thm)],[f968,f962,f965,f733]) ).
fof(f975,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),n1,use),n1) != use
| ~ spl0_44
| spl0_22 ),
inference(backward_demodulation,[status(thm)],[f737,f400]) ).
fof(f976,plain,
( use != use
| ~ spl0_44
| spl0_22 ),
inference(forward_demodulation,[status(thm)],[f233,f975]) ).
fof(f977,plain,
( $false
| ~ spl0_44
| spl0_22 ),
inference(trivial_equality_resolution,[status(esa)],[f976]) ).
fof(f978,plain,
( ~ spl0_44
| spl0_22 ),
inference(contradiction_clause,[status(thm)],[f977]) ).
fof(f1152,plain,
( spl0_68
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) = use ),
introduced(split_symbol_definition) ).
fof(f1154,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use
| spl0_68 ),
inference(component_clause,[status(thm)],[f1152]) ).
fof(f1155,plain,
( spl0_69
<=> n3 = n1 ),
introduced(split_symbol_definition) ).
fof(f1156,plain,
( n3 = n1
| ~ spl0_69 ),
inference(component_clause,[status(thm)],[f1155]) ).
fof(f1158,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1) != use
| n3 = n1
| spl0_51 ),
inference(paramodulation,[status(thm)],[f431,f964]) ).
fof(f1159,plain,
( ~ spl0_68
| spl0_69
| spl0_51 ),
inference(split_clause,[status(thm)],[f1158,f1152,f1155,f962]) ).
fof(f1184,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n3,use),n1,use),n1) != use
| ~ spl0_52
| spl0_43 ),
inference(backward_demodulation,[status(thm)],[f966,f735]) ).
fof(f1185,plain,
( use != use
| ~ spl0_52
| spl0_43 ),
inference(forward_demodulation,[status(thm)],[f233,f1184]) ).
fof(f1186,plain,
( $false
| ~ spl0_52
| spl0_43 ),
inference(trivial_equality_resolution,[status(esa)],[f1185]) ).
fof(f1187,plain,
( ~ spl0_52
| spl0_43 ),
inference(contradiction_clause,[status(thm)],[f1186]) ).
fof(f1205,plain,
( spl0_70
<=> a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n1) = use ),
introduced(split_symbol_definition) ).
fof(f1207,plain,
( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n1) != use
| spl0_70 ),
inference(component_clause,[status(thm)],[f1205]) ).
fof(f1208,plain,
( spl0_71
<=> n2 = n1 ),
introduced(split_symbol_definition) ).
fof(f1209,plain,
( n2 = n1
| ~ spl0_71 ),
inference(component_clause,[status(thm)],[f1208]) ).
fof(f1211,plain,
( a_select2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n1) != use
| n2 = n1
| spl0_68 ),
inference(paramodulation,[status(thm)],[f431,f1154]) ).
fof(f1212,plain,
( ~ spl0_70
| spl0_71
| spl0_68 ),
inference(split_clause,[status(thm)],[f1211,f1205,f1208,f1152]) ).
fof(f1213,plain,
( use != use
| spl0_70 ),
inference(forward_demodulation,[status(thm)],[f233,f1207]) ).
fof(f1214,plain,
( $false
| spl0_70 ),
inference(trivial_equality_resolution,[status(esa)],[f1213]) ).
fof(f1215,plain,
spl0_70,
inference(contradiction_clause,[status(thm)],[f1214]) ).
fof(f1249,plain,
( gt(n1,n1)
| ~ spl0_71 ),
inference(backward_demodulation,[status(thm)],[f1209,f281]) ).
fof(f1250,plain,
( $false
| ~ spl0_71 ),
inference(forward_subsumption_resolution,[status(thm)],[f1249,f91]) ).
fof(f1251,plain,
~ spl0_71,
inference(contradiction_clause,[status(thm)],[f1250]) ).
fof(f1252,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_noise_defuse,n0,use),n1,use),n2,use),n1,use),n1) != use
| ~ spl0_69
| spl0_51 ),
inference(backward_demodulation,[status(thm)],[f1156,f964]) ).
fof(f1253,plain,
( use != use
| ~ spl0_69
| spl0_51 ),
inference(forward_demodulation,[status(thm)],[f233,f1252]) ).
fof(f1254,plain,
( $false
| ~ spl0_69
| spl0_51 ),
inference(trivial_equality_resolution,[status(esa)],[f1253]) ).
fof(f1255,plain,
( ~ spl0_69
| spl0_51 ),
inference(contradiction_clause,[status(thm)],[f1254]) ).
fof(f1256,plain,
$false,
inference(sat_refutation,[status(thm)],[f413,f444,f473,f476,f482,f490,f498,f501,f504,f507,f510,f513,f516,f519,f522,f525,f528,f531,f534,f537,f540,f543,f546,f549,f552,f555,f558,f561,f564,f590,f598,f606,f618,f632,f635,f651,f664,f672,f707,f719,f740,f826,f834,f850,f853,f881,f889,f915,f926,f953,f969,f978,f1159,f1187,f1212,f1215,f1251,f1255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SWV091+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.11/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n006.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Apr 30 00:51:20 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.34 % Drodi V3.6.0
% 0.17/0.46 % Refutation found
% 0.17/0.46 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.48 % Elapsed time: 0.151745 seconds
% 0.17/0.48 % CPU time: 1.059282 seconds
% 0.17/0.48 % Total memory used: 81.323 MB
% 0.17/0.48 % Net memory used: 80.377 MB
%------------------------------------------------------------------------------