TSTP Solution File: SWV209+1 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SWV209+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n005.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 : Thu Aug 31 22:31:36 EDT 2023
% Result : Theorem 3.84s 1.14s
% Output : CNFRefutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 7
% Syntax : Number of formulae : 77 ( 21 unt; 0 def)
% Number of atoms : 539 ( 400 equ)
% Maximal formula atoms : 40 ( 7 avg)
% Number of connectives : 559 ( 97 ~; 206 |; 238 &)
% ( 0 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 32 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 16 con; 0-3 aty)
% Number of variables : 60 ( 0 sgn; 51 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,conjecture,
( ( ! [X3,X19] :
( ( leq(X19,n998)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,n998)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X20] :
( ( leq(X20,n5)
& leq(n0,X20) )
=> use = a_select2(xinit_noise_defuse,X20) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0020) ).
fof(f54,negated_conjecture,
~ ( ( ! [X3,X19] :
( ( leq(X19,n998)
& leq(X3,n2)
& leq(n0,X19)
& leq(n0,X3) )
=> use = a_select3(z_defuse,X3,X19) )
& ! [X13,X17] :
( ( leq(X17,n998)
& leq(X13,n2)
& leq(n0,X17)
& leq(n0,X13) )
=> use = a_select3(u_defuse,X13,X17) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X20] :
( ( leq(X20,n5)
& leq(n0,X20) )
=> use = a_select2(xinit_noise_defuse,X20) ) ),
inference(negated_conjecture,[],[f53]) ).
fof(f84,axiom,
! [X0] :
( ( leq(X0,n5)
& leq(n0,X0) )
=> ( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_5) ).
fof(f85,axiom,
! [X0] :
( ( leq(X0,n0)
& leq(n0,X0) )
=> n0 = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f86,axiom,
! [X0] :
( ( leq(X0,n1)
& leq(n0,X0) )
=> ( n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_1) ).
fof(f87,axiom,
! [X0] :
( ( leq(X0,n2)
& leq(n0,X0) )
=> ( n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f88,axiom,
! [X0] :
( ( leq(X0,n3)
& leq(n0,X0) )
=> ( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_3) ).
fof(f114,plain,
~ ( ( ! [X0,X1] :
( ( leq(X1,n998)
& leq(X0,n2)
& leq(n0,X1)
& leq(n0,X0) )
=> use = a_select3(z_defuse,X0,X1) )
& ! [X2,X3] :
( ( leq(X3,n998)
& leq(X2,n2)
& leq(n0,X3)
& leq(n0,X2) )
=> use = a_select3(u_defuse,X2,X3) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) )
=> ! [X4] :
( ( leq(X4,n5)
& leq(n0,X4) )
=> use = a_select2(xinit_noise_defuse,X4) ) ),
inference(rectify,[],[f54]) ).
fof(f156,plain,
( ? [X4] :
( use != a_select2(xinit_noise_defuse,X4)
& leq(X4,n5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(ennf_transformation,[],[f114]) ).
fof(f157,plain,
( ? [X4] :
( use != a_select2(xinit_noise_defuse,X4)
& leq(X4,n5)
& leq(n0,X4) )
& ! [X0,X1] :
( use = a_select3(z_defuse,X0,X1)
| ~ leq(X1,n998)
| ~ leq(X0,n2)
| ~ leq(n0,X1)
| ~ leq(n0,X0) )
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(X3,n998)
| ~ leq(X2,n2)
| ~ leq(n0,X3)
| ~ leq(n0,X2) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(flattening,[],[f156]) ).
fof(f160,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f161,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(flattening,[],[f160]) ).
fof(f162,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f163,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(flattening,[],[f162]) ).
fof(f164,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f165,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(flattening,[],[f164]) ).
fof(f166,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f167,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(flattening,[],[f166]) ).
fof(f168,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f169,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(flattening,[],[f168]) ).
fof(f224,plain,
( ? [X0] :
( use != a_select2(xinit_noise_defuse,X0)
& leq(X0,n5)
& leq(n0,X0) )
& ! [X1,X2] :
( use = a_select3(z_defuse,X1,X2)
| ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) )
& ! [X3,X4] :
( use = a_select3(u_defuse,X3,X4)
| ~ leq(X4,n998)
| ~ leq(X3,n2)
| ~ leq(n0,X4)
| ~ leq(n0,X3) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(rectify,[],[f157]) ).
fof(f225,plain,
( ? [X0] :
( use != a_select2(xinit_noise_defuse,X0)
& leq(X0,n5)
& leq(n0,X0) )
=> ( use != a_select2(xinit_noise_defuse,sK31)
& leq(sK31,n5)
& leq(n0,sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( use != a_select2(xinit_noise_defuse,sK31)
& leq(sK31,n5)
& leq(n0,sK31)
& ! [X1,X2] :
( use = a_select3(z_defuse,X1,X2)
| ~ leq(X2,n998)
| ~ leq(X1,n2)
| ~ leq(n0,X2)
| ~ leq(n0,X1) )
& ! [X3,X4] :
( use = a_select3(u_defuse,X3,X4)
| ~ leq(X4,n998)
| ~ leq(X3,n2)
| ~ leq(n0,X4)
| ~ leq(n0,X3) )
& use = a_select2(xinit_noise_defuse,n5)
& use = a_select2(xinit_noise_defuse,n4)
& use = a_select2(xinit_noise_defuse,n3)
& use = a_select2(xinit_noise_defuse,n2)
& use = a_select2(xinit_noise_defuse,n1)
& use = a_select2(xinit_noise_defuse,n0)
& use = a_select2(xinit_mean_defuse,n5)
& use = a_select2(xinit_mean_defuse,n4)
& use = a_select2(xinit_mean_defuse,n3)
& use = a_select2(xinit_mean_defuse,n2)
& use = a_select2(xinit_mean_defuse,n1)
& use = a_select2(xinit_mean_defuse,n0)
& use = a_select2(xinit_defuse,n5)
& use = a_select2(xinit_defuse,n4)
& use = a_select2(xinit_defuse,n3)
& use = a_select3(u_defuse,n2,n0)
& use = a_select3(u_defuse,n1,n0)
& use = a_select3(u_defuse,n0,n0)
& use = a_select2(sigma_defuse,n5)
& use = a_select2(sigma_defuse,n4)
& use = a_select2(sigma_defuse,n3)
& use = a_select2(sigma_defuse,n2)
& use = a_select2(sigma_defuse,n1)
& use = a_select2(sigma_defuse,n0)
& use = a_select2(rho_defuse,n2)
& use = a_select2(rho_defuse,n1)
& use = a_select2(rho_defuse,n0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31])],[f224,f225]) ).
fof(f358,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f226]) ).
fof(f359,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f226]) ).
fof(f360,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f226]) ).
fof(f361,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f226]) ).
fof(f362,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f226]) ).
fof(f363,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f226]) ).
fof(f366,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f367,plain,
leq(sK31,n5),
inference(cnf_transformation,[],[f226]) ).
fof(f368,plain,
use != a_select2(xinit_noise_defuse,sK31),
inference(cnf_transformation,[],[f226]) ).
fof(f398,plain,
! [X0] :
( n5 = X0
| n4 = X0
| n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n5)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f161]) ).
fof(f399,plain,
! [X0] :
( n0 = X0
| ~ leq(X0,n0)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f400,plain,
! [X0] :
( n1 = X0
| n0 = X0
| ~ leq(X0,n1)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f165]) ).
fof(f401,plain,
! [X0] :
( n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n2)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f402,plain,
! [X0] :
( n3 = X0
| n2 = X0
| n1 = X0
| n0 = X0
| ~ leq(X0,n3)
| ~ leq(n0,X0) ),
inference(cnf_transformation,[],[f169]) ).
cnf(c_157,negated_conjecture,
a_select2(xinit_noise_defuse,sK31) != use,
inference(cnf_transformation,[],[f368]) ).
cnf(c_158,negated_conjecture,
leq(sK31,n5),
inference(cnf_transformation,[],[f367]) ).
cnf(c_159,negated_conjecture,
leq(n0,sK31),
inference(cnf_transformation,[],[f366]) ).
cnf(c_162,negated_conjecture,
a_select2(xinit_noise_defuse,n5) = use,
inference(cnf_transformation,[],[f363]) ).
cnf(c_163,negated_conjecture,
a_select2(xinit_noise_defuse,n4) = use,
inference(cnf_transformation,[],[f362]) ).
cnf(c_164,negated_conjecture,
a_select2(xinit_noise_defuse,n3) = use,
inference(cnf_transformation,[],[f361]) ).
cnf(c_165,negated_conjecture,
a_select2(xinit_noise_defuse,n2) = use,
inference(cnf_transformation,[],[f360]) ).
cnf(c_166,negated_conjecture,
a_select2(xinit_noise_defuse,n1) = use,
inference(cnf_transformation,[],[f359]) ).
cnf(c_167,negated_conjecture,
a_select2(xinit_noise_defuse,n0) = use,
inference(cnf_transformation,[],[f358]) ).
cnf(c_218,plain,
( ~ leq(X0,n5)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5 ),
inference(cnf_transformation,[],[f398]) ).
cnf(c_219,plain,
( ~ leq(X0,n0)
| ~ leq(n0,X0)
| X0 = n0 ),
inference(cnf_transformation,[],[f399]) ).
cnf(c_220,plain,
( ~ leq(X0,n1)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0 ),
inference(cnf_transformation,[],[f400]) ).
cnf(c_221,plain,
( ~ leq(X0,n2)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| X0 = n2 ),
inference(cnf_transformation,[],[f401]) ).
cnf(c_222,plain,
( ~ leq(X0,n3)
| ~ leq(n0,X0)
| X0 = n1
| X0 = n0
| X0 = n2
| X0 = n3 ),
inference(cnf_transformation,[],[f402]) ).
cnf(c_9092,plain,
( ~ leq(sK31,n0)
| n0 = sK31 ),
inference(superposition,[status(thm)],[c_159,c_219]) ).
cnf(c_9102,plain,
( ~ leq(sK31,n1)
| n1 = sK31
| n0 = sK31 ),
inference(superposition,[status(thm)],[c_159,c_220]) ).
cnf(c_9114,plain,
( ~ leq(sK31,n2)
| n1 = sK31
| n0 = sK31
| n2 = sK31 ),
inference(superposition,[status(thm)],[c_159,c_221]) ).
cnf(c_9154,plain,
( ~ leq(sK31,n3)
| n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31 ),
inference(superposition,[status(thm)],[c_159,c_222]) ).
cnf(c_9188,plain,
( ~ leq(sK31,n5)
| n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31
| n4 = sK31
| n5 = sK31 ),
inference(superposition,[status(thm)],[c_159,c_218]) ).
cnf(c_9299,plain,
( n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31
| n4 = sK31
| n5 = sK31 ),
inference(global_subsumption_just,[status(thm)],[c_9188,c_158,c_9188]) ).
cnf(c_9314,plain,
( ~ leq(n5,n3)
| n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31
| n4 = sK31 ),
inference(superposition,[status(thm)],[c_9299,c_9154]) ).
cnf(c_9315,plain,
( ~ leq(n5,n2)
| n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31
| n4 = sK31 ),
inference(superposition,[status(thm)],[c_9299,c_9114]) ).
cnf(c_9316,plain,
( ~ leq(n5,n1)
| n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31
| n4 = sK31 ),
inference(superposition,[status(thm)],[c_9299,c_9102]) ).
cnf(c_9317,plain,
( ~ leq(n5,n0)
| n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31
| n4 = sK31 ),
inference(superposition,[status(thm)],[c_9299,c_9092]) ).
cnf(c_9319,plain,
( a_select2(xinit_noise_defuse,n5) != use
| n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31
| n4 = sK31 ),
inference(superposition,[status(thm)],[c_9299,c_157]) ).
cnf(c_9320,plain,
( n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31
| n4 = sK31
| leq(n5,n5) ),
inference(superposition,[status(thm)],[c_9299,c_158]) ).
cnf(c_9385,plain,
( n4 = sK31
| n3 = sK31
| n2 = sK31
| n0 = sK31
| n1 = sK31 ),
inference(global_subsumption_just,[status(thm)],[c_9320,c_162,c_9319]) ).
cnf(c_9386,plain,
( n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31
| n4 = sK31 ),
inference(renaming,[status(thm)],[c_9385]) ).
cnf(c_9408,plain,
( a_select2(xinit_noise_defuse,n4) != use
| n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31 ),
inference(superposition,[status(thm)],[c_9386,c_157]) ).
cnf(c_9421,plain,
( n3 = sK31
| n2 = sK31
| n0 = sK31
| n1 = sK31 ),
inference(global_subsumption_just,[status(thm)],[c_9317,c_163,c_9408]) ).
cnf(c_9422,plain,
( n1 = sK31
| n0 = sK31
| n2 = sK31
| n3 = sK31 ),
inference(renaming,[status(thm)],[c_9421]) ).
cnf(c_9441,plain,
( a_select2(xinit_noise_defuse,n3) != use
| n1 = sK31
| n0 = sK31
| n2 = sK31 ),
inference(superposition,[status(thm)],[c_9422,c_157]) ).
cnf(c_9449,plain,
( n1 = sK31
| n0 = sK31
| n2 = sK31 ),
inference(global_subsumption_just,[status(thm)],[c_9316,c_164,c_9441]) ).
cnf(c_9466,plain,
( a_select2(xinit_noise_defuse,n2) != use
| n1 = sK31
| n0 = sK31 ),
inference(superposition,[status(thm)],[c_9449,c_157]) ).
cnf(c_9474,plain,
( n0 = sK31
| n1 = sK31 ),
inference(global_subsumption_just,[status(thm)],[c_9315,c_165,c_9466]) ).
cnf(c_9475,plain,
( n1 = sK31
| n0 = sK31 ),
inference(renaming,[status(thm)],[c_9474]) ).
cnf(c_9488,plain,
( a_select2(xinit_noise_defuse,n0) != use
| n1 = sK31 ),
inference(superposition,[status(thm)],[c_9475,c_157]) ).
cnf(c_9491,plain,
n1 = sK31,
inference(global_subsumption_just,[status(thm)],[c_9314,c_167,c_9488]) ).
cnf(c_9501,plain,
a_select2(xinit_noise_defuse,n1) != use,
inference(superposition,[status(thm)],[c_9491,c_157]) ).
cnf(c_9504,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_166,c_9501]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWV209+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 03:32:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.84/1.14 % SZS status Started for theBenchmark.p
% 3.84/1.14 % SZS status Theorem for theBenchmark.p
% 3.84/1.14
% 3.84/1.14 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.84/1.14
% 3.84/1.14 ------ iProver source info
% 3.84/1.14
% 3.84/1.14 git: date: 2023-05-31 18:12:56 +0000
% 3.84/1.14 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.84/1.14 git: non_committed_changes: false
% 3.84/1.14 git: last_make_outside_of_git: false
% 3.84/1.14
% 3.84/1.14 ------ Parsing...
% 3.84/1.14 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.84/1.14
% 3.84/1.14 ------ Preprocessing... sup_sim: 17 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.84/1.14
% 3.84/1.14 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.84/1.14
% 3.84/1.14 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.84/1.14 ------ Proving...
% 3.84/1.14 ------ Problem Properties
% 3.84/1.14
% 3.84/1.14
% 3.84/1.14 clauses 179
% 3.84/1.14 conjectures 32
% 3.84/1.14 EPR 45
% 3.84/1.14 Horn 129
% 3.84/1.14 unary 83
% 3.84/1.14 binary 34
% 3.84/1.14 lits 526
% 3.84/1.14 lits eq 143
% 3.84/1.14 fd_pure 0
% 3.84/1.14 fd_pseudo 0
% 3.84/1.14 fd_cond 6
% 3.84/1.14 fd_pseudo_cond 4
% 3.84/1.14 AC symbols 0
% 3.84/1.14
% 3.84/1.14 ------ Input Options Time Limit: Unbounded
% 3.84/1.14
% 3.84/1.14
% 3.84/1.14 ------
% 3.84/1.14 Current options:
% 3.84/1.14 ------
% 3.84/1.14
% 3.84/1.14
% 3.84/1.14
% 3.84/1.14
% 3.84/1.14 ------ Proving...
% 3.84/1.14
% 3.84/1.14
% 3.84/1.14 % SZS status Theorem for theBenchmark.p
% 3.84/1.14
% 3.84/1.14 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.84/1.14
% 3.84/1.14
%------------------------------------------------------------------------------