TSTP Solution File: SWV090+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SWV090+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 : Wed May 31 12:40:38 EDT 2023
% Result : Theorem 0.20s 0.49s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 90
% Syntax : Number of formulae : 379 ( 95 unt; 0 def)
% Number of atoms : 905 ( 372 equ)
% Maximal formula atoms : 36 ( 2 avg)
% Number of connectives : 815 ( 289 ~; 363 |; 91 &)
% ( 63 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 37 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 66 ( 64 usr; 63 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 13 con; 0-3 aty)
% Number of variables : 90 (; 90 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] :
( gt(X,Y)
| gt(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] :
( ( gt(X,Y)
& gt(Y,Z) )
=> 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(f9,axiom,
! [X,Y] :
( ( leq(X,Y)
& X != Y )
=> gt(Y,X) ),
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(f28,axiom,
succ(tptp_minus_1) = n0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] : pred(succ(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [X] : succ(pred(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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_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(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(f67,axiom,
gt(n4,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f68,axiom,
gt(n5,n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f70,axiom,
gt(n3,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(f76,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n4) )
=> ( X = n0
| X = n1
| X = n2
| X = n3
| X = n4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f78,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n0) )
=> X = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f79,axiom,
! [X] :
( ( leq(n0,X)
& leq(X,n1) )
=> ( X = n0
| X = n1 ) ),
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(f87,plain,
! [X0,X1] :
( gt(X0,X1)
| gt(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f88,plain,
! [X,Y,Z] :
( ~ gt(X,Y)
| ~ gt(Y,Z)
| gt(X,Z) ),
inference(pre_NNF_transformation,[status(esa)],[f2]) ).
fof(f89,plain,
! [X,Z] :
( ! [Y] :
( ~ gt(X,Y)
| ~ gt(Y,Z) )
| gt(X,Z) ),
inference(miniscoping,[status(esa)],[f88]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ gt(X0,X1)
| ~ gt(X1,X2)
| gt(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f89]) ).
fof(f91,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f92,plain,
! [X0] : leq(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f104,plain,
! [X,Y] :
( ~ gt(Y,X)
| leq(X,Y) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f105,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| leq(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f106,plain,
! [X,Y] :
( ~ leq(X,Y)
| X = Y
| gt(Y,X) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f107,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| X0 = X1
| gt(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f106]) ).
fof(f115,plain,
! [X,Y] :
( ( ~ leq(X,Y)
| gt(succ(Y),X) )
& ( leq(X,Y)
| ~ gt(succ(Y),X) ) ),
inference(NNF_transformation,[status(esa)],[f13]) ).
fof(f116,plain,
( ! [X,Y] :
( ~ leq(X,Y)
| gt(succ(Y),X) )
& ! [X,Y] :
( leq(X,Y)
| ~ gt(succ(Y),X) ) ),
inference(miniscoping,[status(esa)],[f115]) ).
fof(f117,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| gt(succ(X1),X0) ),
inference(cnf_transformation,[status(esa)],[f116]) ).
fof(f199,plain,
succ(tptp_minus_1) = n0,
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f211,plain,
! [X0] : pred(succ(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f40]) ).
fof(f212,plain,
! [X0] : succ(pred(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f41]) ).
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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_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(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(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_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_mean_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_mean_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_mean_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_mean_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_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use ),
inference(cnf_transformation,[status(esa)],[f244]) ).
fof(f261,plain,
gt(n5,n4),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f268,plain,
gt(n4,n0),
inference(cnf_transformation,[status(esa)],[f62]) ).
fof(f270,plain,
gt(n1,n0),
inference(cnf_transformation,[status(esa)],[f64]) ).
fof(f271,plain,
gt(n2,n0),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f272,plain,
gt(n3,n0),
inference(cnf_transformation,[status(esa)],[f66]) ).
fof(f273,plain,
gt(n4,n1),
inference(cnf_transformation,[status(esa)],[f67]) ).
fof(f274,plain,
gt(n5,n1),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f276,plain,
gt(n3,n1),
inference(cnf_transformation,[status(esa)],[f70]) ).
fof(f277,plain,
gt(n4,n2),
inference(cnf_transformation,[status(esa)],[f71]) ).
fof(f278,plain,
gt(n5,n2),
inference(cnf_transformation,[status(esa)],[f72]) ).
fof(f282,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n4)
| X = n0
| X = n1
| X = n2
| X = n3
| X = n4 ),
inference(pre_NNF_transformation,[status(esa)],[f76]) ).
fof(f283,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n4)
| X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4 ),
inference(cnf_transformation,[status(esa)],[f282]) ).
fof(f286,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n0)
| X = n0 ),
inference(pre_NNF_transformation,[status(esa)],[f78]) ).
fof(f287,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n0)
| X0 = n0 ),
inference(cnf_transformation,[status(esa)],[f286]) ).
fof(f288,plain,
! [X] :
( ~ leq(n0,X)
| ~ leq(X,n1)
| X = n0
| X = n1 ),
inference(pre_NNF_transformation,[status(esa)],[f79]) ).
fof(f289,plain,
! [X0] :
( ~ leq(n0,X0)
| ~ leq(X0,n1)
| X0 = n0
| X0 = n1 ),
inference(cnf_transformation,[status(esa)],[f288]) ).
fof(f296,plain,
succ(n0) = n1,
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f297,plain,
succ(succ(n0)) = n2,
inference(cnf_transformation,[status(esa)],[f85]) ).
fof(f326,plain,
( spl0_0
<=> a_select2(rho_defuse,n0) = use ),
introduced(split_symbol_definition) ).
fof(f328,plain,
( a_select2(rho_defuse,n0) != use
| spl0_0 ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,plain,
( spl0_1
<=> a_select2(rho_defuse,n1) = use ),
introduced(split_symbol_definition) ).
fof(f331,plain,
( a_select2(rho_defuse,n1) != use
| spl0_1 ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( spl0_2
<=> a_select2(rho_defuse,n2) = use ),
introduced(split_symbol_definition) ).
fof(f334,plain,
( a_select2(rho_defuse,n2) != use
| spl0_2 ),
inference(component_clause,[status(thm)],[f332]) ).
fof(f335,plain,
( spl0_3
<=> a_select2(sigma_defuse,n0) = use ),
introduced(split_symbol_definition) ).
fof(f337,plain,
( a_select2(sigma_defuse,n0) != use
| spl0_3 ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( spl0_4
<=> a_select2(sigma_defuse,n1) = use ),
introduced(split_symbol_definition) ).
fof(f340,plain,
( a_select2(sigma_defuse,n1) != use
| spl0_4 ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( spl0_5
<=> a_select2(sigma_defuse,n2) = use ),
introduced(split_symbol_definition) ).
fof(f343,plain,
( a_select2(sigma_defuse,n2) != use
| spl0_5 ),
inference(component_clause,[status(thm)],[f341]) ).
fof(f344,plain,
( spl0_6
<=> a_select2(sigma_defuse,n3) = use ),
introduced(split_symbol_definition) ).
fof(f346,plain,
( a_select2(sigma_defuse,n3) != use
| spl0_6 ),
inference(component_clause,[status(thm)],[f344]) ).
fof(f347,plain,
( spl0_7
<=> a_select2(sigma_defuse,n4) = use ),
introduced(split_symbol_definition) ).
fof(f349,plain,
( a_select2(sigma_defuse,n4) != use
| spl0_7 ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( spl0_8
<=> a_select2(sigma_defuse,n5) = use ),
introduced(split_symbol_definition) ).
fof(f352,plain,
( a_select2(sigma_defuse,n5) != use
| spl0_8 ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( spl0_9
<=> a_select3(u_defuse,n0,n0) = use ),
introduced(split_symbol_definition) ).
fof(f355,plain,
( a_select3(u_defuse,n0,n0) != use
| spl0_9 ),
inference(component_clause,[status(thm)],[f353]) ).
fof(f356,plain,
( spl0_10
<=> a_select3(u_defuse,n1,n0) = use ),
introduced(split_symbol_definition) ).
fof(f358,plain,
( a_select3(u_defuse,n1,n0) != use
| spl0_10 ),
inference(component_clause,[status(thm)],[f356]) ).
fof(f359,plain,
( spl0_11
<=> a_select3(u_defuse,n2,n0) = use ),
introduced(split_symbol_definition) ).
fof(f361,plain,
( a_select3(u_defuse,n2,n0) != use
| spl0_11 ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,plain,
( spl0_12
<=> a_select2(xinit_defuse,n3) = use ),
introduced(split_symbol_definition) ).
fof(f364,plain,
( a_select2(xinit_defuse,n3) != use
| spl0_12 ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( spl0_13
<=> a_select2(xinit_defuse,n4) = use ),
introduced(split_symbol_definition) ).
fof(f367,plain,
( a_select2(xinit_defuse,n4) != use
| spl0_13 ),
inference(component_clause,[status(thm)],[f365]) ).
fof(f368,plain,
( spl0_14
<=> a_select2(xinit_defuse,n5) = use ),
introduced(split_symbol_definition) ).
fof(f370,plain,
( a_select2(xinit_defuse,n5) != use
| spl0_14 ),
inference(component_clause,[status(thm)],[f368]) ).
fof(f371,plain,
( spl0_15
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f373,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n0) != use
| spl0_15 ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( spl0_16
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) = use ),
introduced(split_symbol_definition) ).
fof(f376,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n1) != use
| spl0_16 ),
inference(component_clause,[status(thm)],[f374]) ).
fof(f377,plain,
( spl0_17
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) = use ),
introduced(split_symbol_definition) ).
fof(f379,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n2) != use
| spl0_17 ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,plain,
( spl0_18
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) = use ),
introduced(split_symbol_definition) ).
fof(f382,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n3) != use
| spl0_18 ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,plain,
( spl0_19
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) = use ),
introduced(split_symbol_definition) ).
fof(f385,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n4) != use
| spl0_19 ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( spl0_20
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) = use ),
introduced(split_symbol_definition) ).
fof(f388,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n5,use),n5) != use
| spl0_20 ),
inference(component_clause,[status(thm)],[f386]) ).
fof(f389,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 ),
inference(split_clause,[status(thm)],[f260,f326,f329,f332,f335,f338,f341,f344,f347,f350,f353,f356,f359,f362,f365,f368,f371,f374,f377,f380,f383,f386]) ).
fof(f391,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(f419,plain,
( use != use
| spl0_20 ),
inference(forward_demodulation,[status(thm)],[f233,f388]) ).
fof(f420,plain,
( $false
| spl0_20 ),
inference(trivial_equality_resolution,[status(esa)],[f419]) ).
fof(f421,plain,
spl0_20,
inference(contradiction_clause,[status(thm)],[f420]) ).
fof(f422,plain,
( spl0_21
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4) = use ),
introduced(split_symbol_definition) ).
fof(f424,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4) != use
| spl0_21 ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( spl0_22
<=> n5 = n4 ),
introduced(split_symbol_definition) ).
fof(f426,plain,
( n5 = n4
| ~ spl0_22 ),
inference(component_clause,[status(thm)],[f425]) ).
fof(f428,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n4) != use
| n5 = n4
| spl0_19 ),
inference(paramodulation,[status(thm)],[f391,f385]) ).
fof(f429,plain,
( ~ spl0_21
| spl0_22
| spl0_19 ),
inference(split_clause,[status(thm)],[f428,f422,f425,f383]) ).
fof(f430,plain,
( use != use
| spl0_21 ),
inference(forward_demodulation,[status(thm)],[f233,f424]) ).
fof(f431,plain,
( $false
| spl0_21 ),
inference(trivial_equality_resolution,[status(esa)],[f430]) ).
fof(f432,plain,
spl0_21,
inference(contradiction_clause,[status(thm)],[f431]) ).
fof(f436,plain,
( gt(n4,n4)
| ~ spl0_22 ),
inference(backward_demodulation,[status(thm)],[f426,f261]) ).
fof(f437,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[status(thm)],[f436,f91]) ).
fof(f438,plain,
~ spl0_22,
inference(contradiction_clause,[status(thm)],[f437]) ).
fof(f439,plain,
( spl0_23
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) = use ),
introduced(split_symbol_definition) ).
fof(f441,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| spl0_23 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( spl0_24
<=> n5 = n3 ),
introduced(split_symbol_definition) ).
fof(f443,plain,
( n5 = n3
| ~ spl0_24 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3) != use
| n5 = n3
| spl0_18 ),
inference(paramodulation,[status(thm)],[f391,f382]) ).
fof(f446,plain,
( ~ spl0_23
| spl0_24
| spl0_18 ),
inference(split_clause,[status(thm)],[f445,f439,f442,f380]) ).
fof(f451,plain,
( spl0_25
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n3) = use ),
introduced(split_symbol_definition) ).
fof(f453,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use
| spl0_25 ),
inference(component_clause,[status(thm)],[f451]) ).
fof(f454,plain,
( spl0_26
<=> n4 = n3 ),
introduced(split_symbol_definition) ).
fof(f455,plain,
( n4 = n3
| ~ spl0_26 ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f457,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n3) != use
| n4 = n3
| spl0_23 ),
inference(paramodulation,[status(thm)],[f391,f441]) ).
fof(f458,plain,
( ~ spl0_25
| spl0_26
| spl0_23 ),
inference(split_clause,[status(thm)],[f457,f451,f454,f439]) ).
fof(f459,plain,
( use != use
| spl0_25 ),
inference(forward_demodulation,[status(thm)],[f233,f453]) ).
fof(f460,plain,
( $false
| spl0_25 ),
inference(trivial_equality_resolution,[status(esa)],[f459]) ).
fof(f461,plain,
spl0_25,
inference(contradiction_clause,[status(thm)],[f460]) ).
fof(f462,plain,
( use != use
| spl0_5 ),
inference(forward_demodulation,[status(thm)],[f250,f343]) ).
fof(f463,plain,
( $false
| spl0_5 ),
inference(trivial_equality_resolution,[status(esa)],[f462]) ).
fof(f464,plain,
spl0_5,
inference(contradiction_clause,[status(thm)],[f463]) ).
fof(f465,plain,
( use != use
| spl0_4 ),
inference(forward_demodulation,[status(thm)],[f249,f340]) ).
fof(f466,plain,
( $false
| spl0_4 ),
inference(trivial_equality_resolution,[status(esa)],[f465]) ).
fof(f467,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f466]) ).
fof(f468,plain,
( use != use
| spl0_3 ),
inference(forward_demodulation,[status(thm)],[f248,f337]) ).
fof(f469,plain,
( $false
| spl0_3 ),
inference(trivial_equality_resolution,[status(esa)],[f468]) ).
fof(f470,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f469]) ).
fof(f471,plain,
( use != use
| spl0_2 ),
inference(forward_demodulation,[status(thm)],[f247,f334]) ).
fof(f472,plain,
( $false
| spl0_2 ),
inference(trivial_equality_resolution,[status(esa)],[f471]) ).
fof(f473,plain,
spl0_2,
inference(contradiction_clause,[status(thm)],[f472]) ).
fof(f474,plain,
( use != use
| spl0_1 ),
inference(forward_demodulation,[status(thm)],[f246,f331]) ).
fof(f475,plain,
( $false
| spl0_1 ),
inference(trivial_equality_resolution,[status(esa)],[f474]) ).
fof(f476,plain,
spl0_1,
inference(contradiction_clause,[status(thm)],[f475]) ).
fof(f477,plain,
( use != use
| spl0_0 ),
inference(forward_demodulation,[status(thm)],[f245,f328]) ).
fof(f478,plain,
( $false
| spl0_0 ),
inference(trivial_equality_resolution,[status(esa)],[f477]) ).
fof(f479,plain,
spl0_0,
inference(contradiction_clause,[status(thm)],[f478]) ).
fof(f490,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n3,use),n3) != use
| ~ spl0_26
| spl0_23 ),
inference(forward_demodulation,[status(thm)],[f455,f441]) ).
fof(f491,plain,
( use != use
| ~ spl0_26
| spl0_23 ),
inference(forward_demodulation,[status(thm)],[f233,f490]) ).
fof(f492,plain,
( $false
| ~ spl0_26
| spl0_23 ),
inference(trivial_equality_resolution,[status(esa)],[f491]) ).
fof(f493,plain,
( ~ spl0_26
| spl0_23 ),
inference(contradiction_clause,[status(thm)],[f492]) ).
fof(f498,plain,
( spl0_27
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) = use ),
introduced(split_symbol_definition) ).
fof(f500,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| spl0_27 ),
inference(component_clause,[status(thm)],[f498]) ).
fof(f501,plain,
( spl0_28
<=> n5 = n2 ),
introduced(split_symbol_definition) ).
fof(f502,plain,
( n5 = n2
| ~ spl0_28 ),
inference(component_clause,[status(thm)],[f501]) ).
fof(f504,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n2) != use
| n5 = n2
| spl0_17 ),
inference(paramodulation,[status(thm)],[f391,f379]) ).
fof(f505,plain,
( ~ spl0_27
| spl0_28
| spl0_17 ),
inference(split_clause,[status(thm)],[f504,f498,f501,f377]) ).
fof(f510,plain,
( spl0_29
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) = use ),
introduced(split_symbol_definition) ).
fof(f512,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| spl0_29 ),
inference(component_clause,[status(thm)],[f510]) ).
fof(f513,plain,
( spl0_30
<=> n4 = n2 ),
introduced(split_symbol_definition) ).
fof(f514,plain,
( n4 = n2
| ~ spl0_30 ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n2) != use
| n4 = n2
| spl0_27 ),
inference(paramodulation,[status(thm)],[f391,f500]) ).
fof(f517,plain,
( ~ spl0_29
| spl0_30
| spl0_27 ),
inference(split_clause,[status(thm)],[f516,f510,f513,f498]) ).
fof(f526,plain,
( spl0_31
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n2) = use ),
introduced(split_symbol_definition) ).
fof(f528,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n2) != use
| spl0_31 ),
inference(component_clause,[status(thm)],[f526]) ).
fof(f529,plain,
( spl0_32
<=> n3 = n2 ),
introduced(split_symbol_definition) ).
fof(f530,plain,
( n3 = n2
| ~ spl0_32 ),
inference(component_clause,[status(thm)],[f529]) ).
fof(f532,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n2) != use
| n3 = n2
| spl0_29 ),
inference(paramodulation,[status(thm)],[f391,f512]) ).
fof(f533,plain,
( ~ spl0_31
| spl0_32
| spl0_29 ),
inference(split_clause,[status(thm)],[f532,f526,f529,f510]) ).
fof(f534,plain,
( use != use
| spl0_31 ),
inference(forward_demodulation,[status(thm)],[f233,f528]) ).
fof(f535,plain,
( $false
| spl0_31 ),
inference(trivial_equality_resolution,[status(esa)],[f534]) ).
fof(f536,plain,
spl0_31,
inference(contradiction_clause,[status(thm)],[f535]) ).
fof(f537,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n2,use),n2) != use
| ~ spl0_32
| spl0_29 ),
inference(backward_demodulation,[status(thm)],[f530,f512]) ).
fof(f538,plain,
( use != use
| ~ spl0_32
| spl0_29 ),
inference(forward_demodulation,[status(thm)],[f233,f537]) ).
fof(f539,plain,
( $false
| ~ spl0_32
| spl0_29 ),
inference(trivial_equality_resolution,[status(esa)],[f538]) ).
fof(f540,plain,
( ~ spl0_32
| spl0_29 ),
inference(contradiction_clause,[status(thm)],[f539]) ).
fof(f566,plain,
( spl0_34
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) = use ),
introduced(split_symbol_definition) ).
fof(f568,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| spl0_34 ),
inference(component_clause,[status(thm)],[f566]) ).
fof(f569,plain,
( spl0_35
<=> n5 = n1 ),
introduced(split_symbol_definition) ).
fof(f570,plain,
( n5 = n1
| ~ spl0_35 ),
inference(component_clause,[status(thm)],[f569]) ).
fof(f572,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n1) != use
| n5 = n1
| spl0_16 ),
inference(paramodulation,[status(thm)],[f391,f376]) ).
fof(f573,plain,
( ~ spl0_34
| spl0_35
| spl0_16 ),
inference(split_clause,[status(thm)],[f572,f566,f569,f374]) ).
fof(f617,plain,
( gt(n2,n2)
| ~ spl0_30 ),
inference(backward_demodulation,[status(thm)],[f514,f277]) ).
fof(f618,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[status(thm)],[f617,f91]) ).
fof(f619,plain,
~ spl0_30,
inference(contradiction_clause,[status(thm)],[f618]) ).
fof(f633,plain,
( gt(n2,n2)
| ~ spl0_28 ),
inference(backward_demodulation,[status(thm)],[f502,f278]) ).
fof(f634,plain,
( $false
| ~ spl0_28 ),
inference(forward_subsumption_resolution,[status(thm)],[f633,f91]) ).
fof(f635,plain,
~ spl0_28,
inference(contradiction_clause,[status(thm)],[f634]) ).
fof(f648,plain,
( spl0_37
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f650,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use
| spl0_37 ),
inference(component_clause,[status(thm)],[f648]) ).
fof(f651,plain,
( spl0_38
<=> n5 = n0 ),
introduced(split_symbol_definition) ).
fof(f652,plain,
( n5 = n0
| ~ spl0_38 ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f654,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n0) != use
| n5 = n0
| spl0_15 ),
inference(paramodulation,[status(thm)],[f391,f373]) ).
fof(f655,plain,
( ~ spl0_37
| spl0_38
| spl0_15 ),
inference(split_clause,[status(thm)],[f654,f648,f651,f371]) ).
fof(f660,plain,
( spl0_39
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) = use ),
introduced(split_symbol_definition) ).
fof(f662,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| spl0_39 ),
inference(component_clause,[status(thm)],[f660]) ).
fof(f663,plain,
( spl0_40
<=> n4 = n1 ),
introduced(split_symbol_definition) ).
fof(f664,plain,
( n4 = n1
| ~ spl0_40 ),
inference(component_clause,[status(thm)],[f663]) ).
fof(f666,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n1) != use
| n4 = n1
| spl0_34 ),
inference(paramodulation,[status(thm)],[f391,f568]) ).
fof(f667,plain,
( ~ spl0_39
| spl0_40
| spl0_34 ),
inference(split_clause,[status(thm)],[f666,f660,f663,f566]) ).
fof(f668,plain,
( use != use
| spl0_12 ),
inference(forward_demodulation,[status(thm)],[f257,f364]) ).
fof(f669,plain,
( $false
| spl0_12 ),
inference(trivial_equality_resolution,[status(esa)],[f668]) ).
fof(f670,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f669]) ).
fof(f671,plain,
( use != use
| spl0_11 ),
inference(forward_demodulation,[status(thm)],[f256,f361]) ).
fof(f672,plain,
( $false
| spl0_11 ),
inference(trivial_equality_resolution,[status(esa)],[f671]) ).
fof(f673,plain,
spl0_11,
inference(contradiction_clause,[status(thm)],[f672]) ).
fof(f674,plain,
( use != use
| spl0_10 ),
inference(forward_demodulation,[status(thm)],[f255,f358]) ).
fof(f675,plain,
( $false
| spl0_10 ),
inference(trivial_equality_resolution,[status(esa)],[f674]) ).
fof(f676,plain,
spl0_10,
inference(contradiction_clause,[status(thm)],[f675]) ).
fof(f677,plain,
( use != use
| spl0_9 ),
inference(forward_demodulation,[status(thm)],[f254,f355]) ).
fof(f678,plain,
( $false
| spl0_9 ),
inference(trivial_equality_resolution,[status(esa)],[f677]) ).
fof(f679,plain,
spl0_9,
inference(contradiction_clause,[status(thm)],[f678]) ).
fof(f680,plain,
( use != use
| spl0_6 ),
inference(forward_demodulation,[status(thm)],[f251,f346]) ).
fof(f681,plain,
( $false
| spl0_6 ),
inference(trivial_equality_resolution,[status(esa)],[f680]) ).
fof(f682,plain,
spl0_6,
inference(contradiction_clause,[status(thm)],[f681]) ).
fof(f716,plain,
( $false
| spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f259,f370]) ).
fof(f717,plain,
spl0_14,
inference(contradiction_clause,[status(thm)],[f716]) ).
fof(f734,plain,
( spl0_41
<=> leq(n0,n4) ),
introduced(split_symbol_definition) ).
fof(f735,plain,
( leq(n0,n4)
| ~ spl0_41 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f736,plain,
( ~ leq(n0,n4)
| spl0_41 ),
inference(component_clause,[status(thm)],[f734]) ).
fof(f737,plain,
( spl0_42
<=> n0 = n0 ),
introduced(split_symbol_definition) ).
fof(f740,plain,
( spl0_43
<=> n0 = n1 ),
introduced(split_symbol_definition) ).
fof(f741,plain,
( n0 = n1
| ~ spl0_43 ),
inference(component_clause,[status(thm)],[f740]) ).
fof(f743,plain,
( spl0_44
<=> n0 = n2 ),
introduced(split_symbol_definition) ).
fof(f744,plain,
( n0 = n2
| ~ spl0_44 ),
inference(component_clause,[status(thm)],[f743]) ).
fof(f746,plain,
( spl0_45
<=> n0 = n3 ),
introduced(split_symbol_definition) ).
fof(f747,plain,
( n0 = n3
| ~ spl0_45 ),
inference(component_clause,[status(thm)],[f746]) ).
fof(f749,plain,
( spl0_46
<=> n0 = n4 ),
introduced(split_symbol_definition) ).
fof(f750,plain,
( n0 = n4
| ~ spl0_46 ),
inference(component_clause,[status(thm)],[f749]) ).
fof(f752,plain,
( ~ leq(n0,n4)
| n0 = n0
| n0 = n1
| n0 = n2
| n0 = n3
| n0 = n4 ),
inference(resolution,[status(thm)],[f283,f92]) ).
fof(f753,plain,
( ~ spl0_41
| spl0_42
| spl0_43
| spl0_44
| spl0_45
| spl0_46 ),
inference(split_clause,[status(thm)],[f752,f734,f737,f740,f743,f746,f749]) ).
fof(f770,plain,
succ(n1) = n2,
inference(forward_demodulation,[status(thm)],[f296,f297]) ).
fof(f771,plain,
pred(n2) = n1,
inference(paramodulation,[status(thm)],[f770,f211]) ).
fof(f786,plain,
! [X0] : ~ leq(succ(X0),X0),
inference(resolution,[status(thm)],[f117,f91]) ).
fof(f800,plain,
( use != use
| spl0_13 ),
inference(forward_demodulation,[status(thm)],[f258,f367]) ).
fof(f801,plain,
( $false
| spl0_13 ),
inference(trivial_equality_resolution,[status(esa)],[f800]) ).
fof(f802,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f801]) ).
fof(f803,plain,
( use != use
| spl0_8 ),
inference(forward_demodulation,[status(thm)],[f253,f352]) ).
fof(f804,plain,
( $false
| spl0_8 ),
inference(trivial_equality_resolution,[status(esa)],[f803]) ).
fof(f805,plain,
spl0_8,
inference(contradiction_clause,[status(thm)],[f804]) ).
fof(f806,plain,
( use != use
| spl0_7 ),
inference(forward_demodulation,[status(thm)],[f252,f349]) ).
fof(f807,plain,
( $false
| spl0_7 ),
inference(trivial_equality_resolution,[status(esa)],[f806]) ).
fof(f808,plain,
spl0_7,
inference(contradiction_clause,[status(thm)],[f807]) ).
fof(f809,plain,
( spl0_48
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) = use ),
introduced(split_symbol_definition) ).
fof(f811,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use
| spl0_48 ),
inference(component_clause,[status(thm)],[f809]) ).
fof(f812,plain,
( spl0_49
<=> n3 = n1 ),
introduced(split_symbol_definition) ).
fof(f813,plain,
( n3 = n1
| ~ spl0_49 ),
inference(component_clause,[status(thm)],[f812]) ).
fof(f815,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n1) != use
| n3 = n1
| spl0_39 ),
inference(paramodulation,[status(thm)],[f391,f662]) ).
fof(f816,plain,
( ~ spl0_48
| spl0_49
| spl0_39 ),
inference(split_clause,[status(thm)],[f815,f809,f812,f660]) ).
fof(f821,plain,
( ~ gt(n4,n0)
| spl0_41 ),
inference(resolution,[status(thm)],[f736,f105]) ).
fof(f822,plain,
( $false
| spl0_41 ),
inference(forward_subsumption_resolution,[status(thm)],[f821,f268]) ).
fof(f823,plain,
spl0_41,
inference(contradiction_clause,[status(thm)],[f822]) ).
fof(f838,plain,
( gt(n0,n0)
| ~ spl0_46 ),
inference(backward_demodulation,[status(thm)],[f750,f268]) ).
fof(f839,plain,
( $false
| ~ spl0_46 ),
inference(forward_subsumption_resolution,[status(thm)],[f838,f91]) ).
fof(f840,plain,
~ spl0_46,
inference(contradiction_clause,[status(thm)],[f839]) ).
fof(f846,plain,
( gt(n0,n0)
| ~ spl0_45 ),
inference(backward_demodulation,[status(thm)],[f747,f272]) ).
fof(f847,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[status(thm)],[f846,f91]) ).
fof(f848,plain,
~ spl0_45,
inference(contradiction_clause,[status(thm)],[f847]) ).
fof(f857,plain,
( gt(n0,n0)
| ~ spl0_44 ),
inference(backward_demodulation,[status(thm)],[f744,f271]) ).
fof(f858,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[status(thm)],[f857,f91]) ).
fof(f859,plain,
~ spl0_44,
inference(contradiction_clause,[status(thm)],[f858]) ).
fof(f866,plain,
( spl0_50
<=> gt(n4,n0) ),
introduced(split_symbol_definition) ).
fof(f867,plain,
( gt(n4,n0)
| ~ spl0_50 ),
inference(component_clause,[status(thm)],[f866]) ).
fof(f869,plain,
( n0 = n4
| gt(n4,n0)
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f735,f107]) ).
fof(f870,plain,
( spl0_46
| spl0_50
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f869,f749,f866,f734]) ).
fof(f872,plain,
! [X0] :
( ~ gt(X0,n4)
| gt(X0,n0)
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f867,f90]) ).
fof(f875,plain,
! [X0] :
( gt(succ(X0),n0)
| ~ leq(n4,X0)
| ~ spl0_50 ),
inference(resolution,[status(thm)],[f872,f117]) ).
fof(f882,plain,
( spl0_51
<=> gt(n1,n0) ),
introduced(split_symbol_definition) ).
fof(f885,plain,
( spl0_52
<=> leq(n4,n0) ),
introduced(split_symbol_definition) ).
fof(f891,plain,
( spl0_53
<=> gt(n0,n0) ),
introduced(split_symbol_definition) ).
fof(f892,plain,
( gt(n0,n0)
| ~ spl0_53 ),
inference(component_clause,[status(thm)],[f891]) ).
fof(f894,plain,
( spl0_54
<=> leq(n4,tptp_minus_1) ),
introduced(split_symbol_definition) ).
fof(f897,plain,
( gt(n0,n0)
| ~ leq(n4,tptp_minus_1)
| ~ spl0_50 ),
inference(paramodulation,[status(thm)],[f199,f875]) ).
fof(f898,plain,
( spl0_53
| ~ spl0_54
| ~ spl0_50 ),
inference(split_clause,[status(thm)],[f897,f891,f894,f866]) ).
fof(f915,plain,
( $false
| ~ spl0_53 ),
inference(forward_subsumption_resolution,[status(thm)],[f892,f91]) ).
fof(f916,plain,
~ spl0_53,
inference(contradiction_clause,[status(thm)],[f915]) ).
fof(f928,plain,
( spl0_57
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f930,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
| spl0_57 ),
inference(component_clause,[status(thm)],[f928]) ).
fof(f931,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n0) != use
| n4 = n0
| spl0_37 ),
inference(paramodulation,[status(thm)],[f391,f650]) ).
fof(f932,plain,
( ~ spl0_57
| spl0_46
| spl0_37 ),
inference(split_clause,[status(thm)],[f931,f928,f749,f648]) ).
fof(f946,plain,
( ~ leq(n4,n0)
| n4 = n0
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f287,f735]) ).
fof(f947,plain,
( ~ spl0_52
| spl0_46
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f946,f885,f749,f734]) ).
fof(f948,plain,
( spl0_58
<=> leq(n0,n0) ),
introduced(split_symbol_definition) ).
fof(f950,plain,
( ~ leq(n0,n0)
| spl0_58 ),
inference(component_clause,[status(thm)],[f948]) ).
fof(f959,plain,
( spl0_59
<=> leq(n4,n1) ),
introduced(split_symbol_definition) ).
fof(f961,plain,
( ~ leq(n4,n1)
| spl0_59 ),
inference(component_clause,[status(thm)],[f959]) ).
fof(f962,plain,
( ~ leq(n4,n1)
| n4 = n0
| n4 = n1
| ~ spl0_41 ),
inference(resolution,[status(thm)],[f289,f735]) ).
fof(f963,plain,
( ~ spl0_59
| spl0_46
| spl0_40
| ~ spl0_41 ),
inference(split_clause,[status(thm)],[f962,f959,f749,f663,f734]) ).
fof(f979,plain,
! [X0] : ~ gt(X0,succ(X0)),
inference(resolution,[status(thm)],[f786,f105]) ).
fof(f982,plain,
! [X0] : ~ leq(X0,pred(X0)),
inference(paramodulation,[status(thm)],[f212,f786]) ).
fof(f1003,plain,
~ gt(n1,n2),
inference(paramodulation,[status(thm)],[f770,f979]) ).
fof(f1004,plain,
~ gt(n0,n1),
inference(paramodulation,[status(thm)],[f296,f979]) ).
fof(f1012,plain,
~ leq(n2,n1),
inference(paramodulation,[status(thm)],[f771,f982]) ).
fof(f1037,plain,
( $false
| spl0_58 ),
inference(forward_subsumption_resolution,[status(thm)],[f950,f92]) ).
fof(f1038,plain,
spl0_58,
inference(contradiction_clause,[status(thm)],[f1037]) ).
fof(f1039,plain,
( gt(n1,n1)
| ~ spl0_40 ),
inference(backward_demodulation,[status(thm)],[f664,f273]) ).
fof(f1040,plain,
( $false
| ~ spl0_40 ),
inference(forward_subsumption_resolution,[status(thm)],[f1039,f91]) ).
fof(f1041,plain,
~ spl0_40,
inference(contradiction_clause,[status(thm)],[f1040]) ).
fof(f1045,plain,
( gt(n1,n1)
| ~ spl0_49 ),
inference(backward_demodulation,[status(thm)],[f813,f276]) ).
fof(f1046,plain,
( $false
| ~ spl0_49 ),
inference(forward_subsumption_resolution,[status(thm)],[f1045,f91]) ).
fof(f1047,plain,
~ spl0_49,
inference(contradiction_clause,[status(thm)],[f1046]) ).
fof(f1066,plain,
( gt(n0,n0)
| ~ spl0_43 ),
inference(backward_demodulation,[status(thm)],[f741,f270]) ).
fof(f1067,plain,
( spl0_53
| ~ spl0_43 ),
inference(split_clause,[status(thm)],[f1066,f891,f740]) ).
fof(f1100,plain,
( ~ gt(n1,n4)
| spl0_59 ),
inference(resolution,[status(thm)],[f961,f105]) ).
fof(f1114,plain,
( spl0_63
<=> gt(n2,n1) ),
introduced(split_symbol_definition) ).
fof(f1117,plain,
( spl0_64
<=> n2 = n1 ),
introduced(split_symbol_definition) ).
fof(f1118,plain,
( n2 = n1
| ~ spl0_64 ),
inference(component_clause,[status(thm)],[f1117]) ).
fof(f1120,plain,
( gt(n2,n1)
| n2 = n1 ),
inference(resolution,[status(thm)],[f1003,f87]) ).
fof(f1121,plain,
( spl0_63
| spl0_64 ),
inference(split_clause,[status(thm)],[f1120,f1114,f1117]) ).
fof(f1123,plain,
( gt(n1,n0)
| n1 = n0 ),
inference(resolution,[status(thm)],[f1004,f87]) ).
fof(f1124,plain,
( spl0_51
| spl0_43 ),
inference(split_clause,[status(thm)],[f1123,f882,f740]) ).
fof(f1173,plain,
( spl0_69
<=> a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n1) = use ),
introduced(split_symbol_definition) ).
fof(f1175,plain,
( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n1) != use
| spl0_69 ),
inference(component_clause,[status(thm)],[f1173]) ).
fof(f1176,plain,
( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n1) != use
| n2 = n1
| spl0_48 ),
inference(paramodulation,[status(thm)],[f391,f811]) ).
fof(f1177,plain,
( ~ spl0_69
| spl0_64
| spl0_48 ),
inference(split_clause,[status(thm)],[f1176,f1173,f1117,f809]) ).
fof(f1178,plain,
( use != use
| spl0_69 ),
inference(forward_demodulation,[status(thm)],[f233,f1175]) ).
fof(f1179,plain,
( $false
| spl0_69 ),
inference(trivial_equality_resolution,[status(esa)],[f1178]) ).
fof(f1180,plain,
spl0_69,
inference(contradiction_clause,[status(thm)],[f1179]) ).
fof(f1185,plain,
( spl0_70
<=> a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f1187,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use
| spl0_70 ),
inference(component_clause,[status(thm)],[f1185]) ).
fof(f1188,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n0) != use
| n3 = n0
| spl0_57 ),
inference(paramodulation,[status(thm)],[f391,f930]) ).
fof(f1189,plain,
( ~ spl0_70
| spl0_45
| spl0_57 ),
inference(split_clause,[status(thm)],[f1188,f1185,f746,f928]) ).
fof(f1190,plain,
( spl0_71
<=> a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f1192,plain,
( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use
| spl0_71 ),
inference(component_clause,[status(thm)],[f1190]) ).
fof(f1193,plain,
( a_select2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n0) != use
| n2 = n0
| spl0_70 ),
inference(paramodulation,[status(thm)],[f391,f1187]) ).
fof(f1194,plain,
( ~ spl0_71
| spl0_44
| spl0_70 ),
inference(split_clause,[status(thm)],[f1193,f1190,f743,f1185]) ).
fof(f1195,plain,
( spl0_72
<=> a_select2(tptp_update2(xinit_mean_defuse,n0,use),n0) = use ),
introduced(split_symbol_definition) ).
fof(f1197,plain,
( a_select2(tptp_update2(xinit_mean_defuse,n0,use),n0) != use
| spl0_72 ),
inference(component_clause,[status(thm)],[f1195]) ).
fof(f1198,plain,
( a_select2(tptp_update2(xinit_mean_defuse,n0,use),n0) != use
| n1 = n0
| spl0_71 ),
inference(paramodulation,[status(thm)],[f391,f1192]) ).
fof(f1199,plain,
( ~ spl0_72
| spl0_43
| spl0_71 ),
inference(split_clause,[status(thm)],[f1198,f1195,f740,f1190]) ).
fof(f1200,plain,
( use != use
| spl0_72 ),
inference(forward_demodulation,[status(thm)],[f233,f1197]) ).
fof(f1201,plain,
( $false
| spl0_72 ),
inference(trivial_equality_resolution,[status(esa)],[f1200]) ).
fof(f1202,plain,
spl0_72,
inference(contradiction_clause,[status(thm)],[f1201]) ).
fof(f1223,plain,
( ~ leq(n1,n1)
| ~ spl0_64 ),
inference(backward_demodulation,[status(thm)],[f1118,f1012]) ).
fof(f1224,plain,
( $false
| ~ spl0_64 ),
inference(forward_subsumption_resolution,[status(thm)],[f1223,f92]) ).
fof(f1225,plain,
~ spl0_64,
inference(contradiction_clause,[status(thm)],[f1224]) ).
fof(f1228,plain,
( gt(n1,n1)
| ~ spl0_35 ),
inference(backward_demodulation,[status(thm)],[f570,f274]) ).
fof(f1229,plain,
( $false
| ~ spl0_35 ),
inference(forward_subsumption_resolution,[status(thm)],[f1228,f91]) ).
fof(f1230,plain,
~ spl0_35,
inference(contradiction_clause,[status(thm)],[f1229]) ).
fof(f1240,plain,
( gt(n0,n1)
| ~ spl0_38 ),
inference(backward_demodulation,[status(thm)],[f652,f274]) ).
fof(f1241,plain,
( $false
| ~ spl0_38 ),
inference(forward_subsumption_resolution,[status(thm)],[f1240,f1004]) ).
fof(f1242,plain,
~ spl0_38,
inference(contradiction_clause,[status(thm)],[f1241]) ).
fof(f1256,plain,
( spl0_73
<=> gt(n4,n1) ),
introduced(split_symbol_definition) ).
fof(f1259,plain,
( gt(n4,n1)
| n4 = n1
| spl0_59 ),
inference(resolution,[status(thm)],[f1100,f87]) ).
fof(f1260,plain,
( spl0_73
| spl0_40
| spl0_59 ),
inference(split_clause,[status(thm)],[f1259,f1256,f663,f959]) ).
fof(f1291,plain,
( a_select2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(tptp_update2(xinit_mean_defuse,n0,use),n1,use),n2,use),n3,use),n4,use),n3,use),n3) != use
| ~ spl0_24
| spl0_18 ),
inference(forward_demodulation,[status(thm)],[f443,f382]) ).
fof(f1292,plain,
( use != use
| ~ spl0_24
| spl0_18 ),
inference(forward_demodulation,[status(thm)],[f233,f1291]) ).
fof(f1293,plain,
( $false
| ~ spl0_24
| spl0_18 ),
inference(trivial_equality_resolution,[status(esa)],[f1292]) ).
fof(f1294,plain,
( ~ spl0_24
| spl0_18 ),
inference(contradiction_clause,[status(thm)],[f1293]) ).
fof(f1295,plain,
$false,
inference(sat_refutation,[status(thm)],[f389,f421,f429,f432,f438,f446,f458,f461,f464,f467,f470,f473,f476,f479,f493,f505,f517,f533,f536,f540,f573,f619,f635,f655,f667,f670,f673,f676,f679,f682,f717,f753,f802,f805,f808,f816,f823,f840,f848,f859,f870,f898,f916,f932,f947,f963,f1038,f1041,f1047,f1067,f1121,f1124,f1177,f1180,f1189,f1194,f1199,f1202,f1225,f1230,f1242,f1260,f1294]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV090+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 11:06:40 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.20/0.49 % Refutation found
% 0.20/0.49 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.20/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.49 % Elapsed time: 0.151211 seconds
% 0.20/0.49 % CPU time: 1.041725 seconds
% 0.20/0.49 % Memory used: 72.112 MB
%------------------------------------------------------------------------------