%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:20:12 PM UTC 2026
% Result : Theorem 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 35
% Syntax : Number of formulae : 154 ( 89 unt; 29 def)
% Number of atoms : 675 ( 396 equ)
% Maximal formula atoms : 60 ( 4 avg)
% Number of connectives : 820 ( 299 ~; 307 |; 178 &)
% ( 30 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 56 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 33 ( 31 usr; 30 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 15 con; 0-3 aty)
% Number of variables : 44 ( 0 sgn 40 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1,X2] :
( ( gt(X0,X1)
& gt(X1,X2) )
=> gt(X0,X2) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',transitivity_gt) ).
fof(f3,axiom,
! [X0] : ~ gt(X0,X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',irreflexivity_gt) ).
fof(f9,axiom,
! [X0,X1] :
( ( leq(X0,X1)
& X0 != X1 )
=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt2) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',leq_gt_pred) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV003+0.ax',pred_minus_1) ).
fof(f53,conjecture,
( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(n0,n1)) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0004) ).
fof(f54,negated_conjecture,
~ ( ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use )
=> ( a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(n0,n1)) )
=> ( a_select3(u_defuse,X0,X1) = use
& a_select3(z_defuse,X0,X1) = use ) ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f96,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X0,X1)
| ~ gt(X1,X2) ),
inference(ennf_transformation,[],[f2]) ).
fof(f97,plain,
! [X0,X1,X2] :
( gt(X0,X2)
| ~ gt(X0,X1)
| ~ gt(X1,X2) ),
inference(flattening,[],[f96]) ).
fof(f101,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(ennf_transformation,[],[f9]) ).
fof(f102,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,X1)
| X0 = X1 ),
inference(flattening,[],[f101]) ).
fof(f136,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ? [X0,X1] :
( ( use != a_select3(u_defuse,X0,X1)
| use != a_select3(z_defuse,X0,X1) )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(n0,n1)) ) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use ),
inference(ennf_transformation,[],[f54]) ).
fof(f137,plain,
( ( use != a_select2(rho_defuse,n0)
| use != a_select2(rho_defuse,n1)
| use != a_select2(rho_defuse,n2)
| use != a_select2(sigma_defuse,n0)
| use != a_select2(sigma_defuse,n1)
| use != a_select2(sigma_defuse,n2)
| use != a_select2(sigma_defuse,n3)
| use != a_select2(sigma_defuse,n4)
| use != a_select2(sigma_defuse,n5)
| use != a_select3(u_defuse,n0,n0)
| use != a_select3(u_defuse,n1,n0)
| use != a_select3(u_defuse,n2,n0)
| use != a_select2(xinit_defuse,n3)
| use != a_select2(xinit_defuse,n4)
| use != a_select2(xinit_defuse,n5)
| use != a_select2(xinit_mean_defuse,n0)
| use != a_select2(xinit_mean_defuse,n1)
| use != a_select2(xinit_mean_defuse,n2)
| use != a_select2(xinit_mean_defuse,n3)
| use != a_select2(xinit_mean_defuse,n4)
| use != a_select2(xinit_mean_defuse,n5)
| use != a_select2(xinit_noise_defuse,n0)
| use != a_select2(xinit_noise_defuse,n1)
| use != a_select2(xinit_noise_defuse,n2)
| use != a_select2(xinit_noise_defuse,n3)
| use != a_select2(xinit_noise_defuse,n4)
| use != a_select2(xinit_noise_defuse,n5)
| ? [X0,X1] :
( ( use != a_select3(u_defuse,X0,X1)
| use != a_select3(z_defuse,X0,X1) )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,minus(n0,n1)) ) )
& a_select2(rho_defuse,n0) = use
& a_select2(rho_defuse,n1) = use
& a_select2(rho_defuse,n2) = use
& a_select2(sigma_defuse,n0) = use
& a_select2(sigma_defuse,n1) = use
& a_select2(sigma_defuse,n2) = use
& a_select2(sigma_defuse,n3) = use
& a_select2(sigma_defuse,n4) = use
& a_select2(sigma_defuse,n5) = use
& a_select3(u_defuse,n0,n0) = use
& a_select3(u_defuse,n1,n0) = use
& a_select3(u_defuse,n2,n0) = use
& a_select2(xinit_defuse,n3) = use
& a_select2(xinit_defuse,n4) = use
& a_select2(xinit_defuse,n5) = use
& a_select2(xinit_mean_defuse,n0) = use
& a_select2(xinit_mean_defuse,n1) = use
& a_select2(xinit_mean_defuse,n2) = use
& a_select2(xinit_mean_defuse,n3) = use
& a_select2(xinit_mean_defuse,n4) = use
& a_select2(xinit_mean_defuse,n5) = use
& a_select2(xinit_noise_defuse,n0) = use
& a_select2(xinit_noise_defuse,n1) = use
& a_select2(xinit_noise_defuse,n2) = use
& a_select2(xinit_noise_defuse,n3) = use
& a_select2(xinit_noise_defuse,n4) = use
& a_select2(xinit_noise_defuse,n5) = use ),
inference(flattening,[],[f136]) ).
fof(f151,plain,
! [X2,X0,X1] :
( ~ gt(X0,X1)
| ~ gt(X1,X2)
| gt(X0,X2) ),
inference(cnf_transformation,[],[f97]) ).
fof(f152,plain,
! [X0] : ~ gt(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f156,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| gt(X1,X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f158,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,pred(X1)) ),
inference(cnf_transformation,[],[f10]) ).
fof(f288,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f309,plain,
( leq(sK32,minus(n0,n1))
| 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(cnf_transformation,[],[f137]) ).
fof(f311,plain,
( leq(n0,sK32)
| 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(cnf_transformation,[],[f137]) ).
fof(f313,plain,
use = a_select2(xinit_noise_defuse,n5),
inference(cnf_transformation,[],[f137]) ).
fof(f314,plain,
use = a_select2(xinit_noise_defuse,n4),
inference(cnf_transformation,[],[f137]) ).
fof(f315,plain,
use = a_select2(xinit_noise_defuse,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f316,plain,
use = a_select2(xinit_noise_defuse,n2),
inference(cnf_transformation,[],[f137]) ).
fof(f317,plain,
use = a_select2(xinit_noise_defuse,n1),
inference(cnf_transformation,[],[f137]) ).
fof(f318,plain,
use = a_select2(xinit_noise_defuse,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f319,plain,
use = a_select2(xinit_mean_defuse,n5),
inference(cnf_transformation,[],[f137]) ).
fof(f320,plain,
use = a_select2(xinit_mean_defuse,n4),
inference(cnf_transformation,[],[f137]) ).
fof(f321,plain,
use = a_select2(xinit_mean_defuse,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f322,plain,
use = a_select2(xinit_mean_defuse,n2),
inference(cnf_transformation,[],[f137]) ).
fof(f323,plain,
use = a_select2(xinit_mean_defuse,n1),
inference(cnf_transformation,[],[f137]) ).
fof(f324,plain,
use = a_select2(xinit_mean_defuse,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f325,plain,
use = a_select2(xinit_defuse,n5),
inference(cnf_transformation,[],[f137]) ).
fof(f326,plain,
use = a_select2(xinit_defuse,n4),
inference(cnf_transformation,[],[f137]) ).
fof(f327,plain,
use = a_select2(xinit_defuse,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f328,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f329,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f330,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f331,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f137]) ).
fof(f332,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f137]) ).
fof(f333,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f137]) ).
fof(f334,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f137]) ).
fof(f335,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f137]) ).
fof(f336,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f337,plain,
use = a_select2(rho_defuse,n2),
inference(cnf_transformation,[],[f137]) ).
fof(f338,plain,
use = a_select2(rho_defuse,n1),
inference(cnf_transformation,[],[f137]) ).
fof(f339,plain,
use = a_select2(rho_defuse,n0),
inference(cnf_transformation,[],[f137]) ).
fof(f372,plain,
! [X0,X1] :
( gt(X1,X0)
| ~ leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f158,f288]) ).
fof(f404,plain,
! [X0,X1] :
( gt(X1,X0)
| leq(X0,X1)
| X0 = X1 ),
inference(consistent_polarity_flipping,[],[f156]) ).
fof(f405,plain,
! [X0,X1] :
( leq(X0,minus(X1,n1))
| gt(X1,X0) ),
inference(consistent_polarity_flipping,[],[f372]) ).
fof(f532,plain,
( ~ leq(n0,sK32)
| 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(consistent_polarity_flipping,[],[f311]) ).
fof(f534,plain,
( ~ leq(sK32,minus(n0,n1))
| 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(consistent_polarity_flipping,[],[f309]) ).
fof(f542,definition,
( spl33_1
<=> use = a_select2(rho_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_1])],[avatar_definition]) ).
fof(f546,definition,
( spl33_2
<=> use = a_select2(rho_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_2])],[avatar_definition]) ).
fof(f550,definition,
( spl33_3
<=> use = a_select2(rho_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_3])],[avatar_definition]) ).
fof(f554,definition,
( spl33_4
<=> use = a_select2(sigma_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_4])],[avatar_definition]) ).
fof(f558,definition,
( spl33_5
<=> use = a_select2(sigma_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_5])],[avatar_definition]) ).
fof(f562,definition,
( spl33_6
<=> use = a_select2(sigma_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_6])],[avatar_definition]) ).
fof(f566,definition,
( spl33_7
<=> use = a_select2(sigma_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_7])],[avatar_definition]) ).
fof(f570,definition,
( spl33_8
<=> use = a_select2(sigma_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_8])],[avatar_definition]) ).
fof(f574,definition,
( spl33_9
<=> use = a_select2(sigma_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_9])],[avatar_definition]) ).
fof(f578,definition,
( spl33_10
<=> use = a_select3(u_defuse,n0,n0) ),
introduced(definition,[new_symbols(definition,[spl33_10])],[avatar_definition]) ).
fof(f582,definition,
( spl33_11
<=> use = a_select3(u_defuse,n1,n0) ),
introduced(definition,[new_symbols(definition,[spl33_11])],[avatar_definition]) ).
fof(f586,definition,
( spl33_12
<=> use = a_select3(u_defuse,n2,n0) ),
introduced(definition,[new_symbols(definition,[spl33_12])],[avatar_definition]) ).
fof(f590,definition,
( spl33_13
<=> use = a_select2(xinit_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_13])],[avatar_definition]) ).
fof(f594,definition,
( spl33_14
<=> use = a_select2(xinit_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_14])],[avatar_definition]) ).
fof(f598,definition,
( spl33_15
<=> use = a_select2(xinit_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_15])],[avatar_definition]) ).
fof(f602,definition,
( spl33_16
<=> use = a_select2(xinit_mean_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_16])],[avatar_definition]) ).
fof(f606,definition,
( spl33_17
<=> use = a_select2(xinit_mean_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_17])],[avatar_definition]) ).
fof(f610,definition,
( spl33_18
<=> use = a_select2(xinit_mean_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_18])],[avatar_definition]) ).
fof(f614,definition,
( spl33_19
<=> use = a_select2(xinit_mean_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_19])],[avatar_definition]) ).
fof(f618,definition,
( spl33_20
<=> use = a_select2(xinit_mean_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_20])],[avatar_definition]) ).
fof(f622,definition,
( spl33_21
<=> use = a_select2(xinit_mean_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_21])],[avatar_definition]) ).
fof(f626,definition,
( spl33_22
<=> use = a_select2(xinit_noise_defuse,n0) ),
introduced(definition,[new_symbols(definition,[spl33_22])],[avatar_definition]) ).
fof(f630,definition,
( spl33_23
<=> use = a_select2(xinit_noise_defuse,n1) ),
introduced(definition,[new_symbols(definition,[spl33_23])],[avatar_definition]) ).
fof(f634,definition,
( spl33_24
<=> use = a_select2(xinit_noise_defuse,n2) ),
introduced(definition,[new_symbols(definition,[spl33_24])],[avatar_definition]) ).
fof(f638,definition,
( spl33_25
<=> use = a_select2(xinit_noise_defuse,n3) ),
introduced(definition,[new_symbols(definition,[spl33_25])],[avatar_definition]) ).
fof(f642,definition,
( spl33_26
<=> use = a_select2(xinit_noise_defuse,n4) ),
introduced(definition,[new_symbols(definition,[spl33_26])],[avatar_definition]) ).
fof(f646,definition,
( spl33_27
<=> use = a_select2(xinit_noise_defuse,n5) ),
introduced(definition,[new_symbols(definition,[spl33_27])],[avatar_definition]) ).
fof(f659,definition,
( spl33_30
<=> leq(sK32,minus(n0,n1)) ),
introduced(definition,[new_symbols(definition,[spl33_30])],[avatar_definition]) ).
fof(f661,plain,
( ~ leq(sK32,minus(n0,n1))
| spl33_30 ),
inference(avatar_component_clause,[],[f659]) ).
fof(f662,plain,
( ~ spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_30 ),
inference(avatar_split_clause,[],[f534,f659,f646,f642,f638,f634,f630,f626,f622,f618,f614,f610,f606,f602,f598,f594,f590,f586,f582,f578,f574,f570,f566,f562,f558,f554,f550,f546,f542]) ).
fof(f669,definition,
( spl33_32
<=> leq(n0,sK32) ),
introduced(definition,[new_symbols(definition,[spl33_32])],[avatar_definition]) ).
fof(f671,plain,
( ~ leq(n0,sK32)
| spl33_32 ),
inference(avatar_component_clause,[],[f669]) ).
fof(f672,plain,
( ~ spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_32 ),
inference(avatar_split_clause,[],[f532,f669,f646,f642,f638,f634,f630,f626,f622,f618,f614,f610,f606,f602,f598,f594,f590,f586,f582,f578,f574,f570,f566,f562,f558,f554,f550,f546,f542]) ).
fof(f678,plain,
spl33_27,
inference(avatar_split_clause,[],[f313,f646]) ).
fof(f679,plain,
spl33_26,
inference(avatar_split_clause,[],[f314,f642]) ).
fof(f680,plain,
spl33_25,
inference(avatar_split_clause,[],[f315,f638]) ).
fof(f681,plain,
spl33_24,
inference(avatar_split_clause,[],[f316,f634]) ).
fof(f682,plain,
spl33_23,
inference(avatar_split_clause,[],[f317,f630]) ).
fof(f683,plain,
spl33_22,
inference(avatar_split_clause,[],[f318,f626]) ).
fof(f684,plain,
spl33_21,
inference(avatar_split_clause,[],[f319,f622]) ).
fof(f685,plain,
spl33_20,
inference(avatar_split_clause,[],[f320,f618]) ).
fof(f686,plain,
spl33_19,
inference(avatar_split_clause,[],[f321,f614]) ).
fof(f687,plain,
spl33_18,
inference(avatar_split_clause,[],[f322,f610]) ).
fof(f688,plain,
spl33_17,
inference(avatar_split_clause,[],[f323,f606]) ).
fof(f689,plain,
spl33_16,
inference(avatar_split_clause,[],[f324,f602]) ).
fof(f690,plain,
spl33_15,
inference(avatar_split_clause,[],[f325,f598]) ).
fof(f691,plain,
spl33_14,
inference(avatar_split_clause,[],[f326,f594]) ).
fof(f692,plain,
spl33_13,
inference(avatar_split_clause,[],[f327,f590]) ).
fof(f693,plain,
spl33_12,
inference(avatar_split_clause,[],[f328,f586]) ).
fof(f694,plain,
spl33_11,
inference(avatar_split_clause,[],[f329,f582]) ).
fof(f695,plain,
spl33_10,
inference(avatar_split_clause,[],[f330,f578]) ).
fof(f696,plain,
spl33_9,
inference(avatar_split_clause,[],[f331,f574]) ).
fof(f697,plain,
spl33_8,
inference(avatar_split_clause,[],[f332,f570]) ).
fof(f698,plain,
spl33_7,
inference(avatar_split_clause,[],[f333,f566]) ).
fof(f699,plain,
spl33_6,
inference(avatar_split_clause,[],[f334,f562]) ).
fof(f700,plain,
spl33_5,
inference(avatar_split_clause,[],[f335,f558]) ).
fof(f701,plain,
spl33_4,
inference(avatar_split_clause,[],[f336,f554]) ).
fof(f702,plain,
spl33_3,
inference(avatar_split_clause,[],[f337,f550]) ).
fof(f703,plain,
spl33_2,
inference(avatar_split_clause,[],[f338,f546]) ).
fof(f704,plain,
spl33_1,
inference(avatar_split_clause,[],[f339,f542]) ).
fof(f725,plain,
( gt(n0,sK32)
| spl33_30 ),
inference(resolution,[],[f405,f661]) ).
fof(f762,plain,
( ! [X0] :
( ~ gt(sK32,X0)
| gt(n0,X0) )
| spl33_30 ),
inference(resolution,[],[f151,f725]) ).
fof(f841,plain,
( ! [X0] :
( gt(n0,X0)
| leq(X0,sK32)
| sK32 = X0 )
| spl33_30 ),
inference(resolution,[],[f762,f404]) ).
fof(f844,plain,
( leq(n0,sK32)
| n0 = sK32
| spl33_30 ),
inference(resolution,[],[f841,f152]) ).
fof(f846,plain,
( n0 = sK32
| spl33_30
| spl33_32 ),
inference(forward_subsumption_resolution,[],[f844,f671]) ).
fof(f850,plain,
( gt(n0,n0)
| spl33_30
| spl33_32 ),
inference(superposition,[],[f725,f846]) ).
fof(f853,plain,
( $false
| spl33_30
| spl33_32 ),
inference(forward_subsumption_resolution,[],[f850,f152]) ).
fof(f854,plain,
( spl33_30
| spl33_32 ),
inference(avatar_contradiction_clause,[],[f853]) ).
cnf(s2,plain,
( ~ spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_30 ),
inference(sat_conversion,[],[f662]) ).
cnf(s4,plain,
( ~ spl33_1
| ~ spl33_2
| ~ spl33_3
| ~ spl33_4
| ~ spl33_5
| ~ spl33_6
| ~ spl33_7
| ~ spl33_8
| ~ spl33_9
| ~ spl33_10
| ~ spl33_11
| ~ spl33_12
| ~ spl33_13
| ~ spl33_14
| ~ spl33_15
| ~ spl33_16
| ~ spl33_17
| ~ spl33_18
| ~ spl33_19
| ~ spl33_20
| ~ spl33_21
| ~ spl33_22
| ~ spl33_23
| ~ spl33_24
| ~ spl33_25
| ~ spl33_26
| ~ spl33_27
| ~ spl33_32 ),
inference(sat_conversion,[],[f672]) ).
cnf(s6,plain,
spl33_27,
inference(sat_conversion,[],[f678]) ).
cnf(s7,plain,
spl33_26,
inference(sat_conversion,[],[f679]) ).
cnf(s8,plain,
spl33_25,
inference(sat_conversion,[],[f680]) ).
cnf(s9,plain,
spl33_24,
inference(sat_conversion,[],[f681]) ).
cnf(s10,plain,
spl33_23,
inference(sat_conversion,[],[f682]) ).
cnf(s11,plain,
spl33_22,
inference(sat_conversion,[],[f683]) ).
cnf(s12,plain,
spl33_21,
inference(sat_conversion,[],[f684]) ).
cnf(s13,plain,
spl33_20,
inference(sat_conversion,[],[f685]) ).
cnf(s14,plain,
spl33_19,
inference(sat_conversion,[],[f686]) ).
cnf(s15,plain,
spl33_18,
inference(sat_conversion,[],[f687]) ).
cnf(s16,plain,
spl33_17,
inference(sat_conversion,[],[f688]) ).
cnf(s17,plain,
spl33_16,
inference(sat_conversion,[],[f689]) ).
cnf(s18,plain,
spl33_15,
inference(sat_conversion,[],[f690]) ).
cnf(s19,plain,
spl33_14,
inference(sat_conversion,[],[f691]) ).
cnf(s20,plain,
spl33_13,
inference(sat_conversion,[],[f692]) ).
cnf(s21,plain,
spl33_12,
inference(sat_conversion,[],[f693]) ).
cnf(s22,plain,
spl33_11,
inference(sat_conversion,[],[f694]) ).
cnf(s23,plain,
spl33_10,
inference(sat_conversion,[],[f695]) ).
cnf(s24,plain,
spl33_9,
inference(sat_conversion,[],[f696]) ).
cnf(s25,plain,
spl33_8,
inference(sat_conversion,[],[f697]) ).
cnf(s26,plain,
spl33_7,
inference(sat_conversion,[],[f698]) ).
cnf(s27,plain,
spl33_6,
inference(sat_conversion,[],[f699]) ).
cnf(s28,plain,
spl33_5,
inference(sat_conversion,[],[f700]) ).
cnf(s29,plain,
spl33_4,
inference(sat_conversion,[],[f701]) ).
cnf(s30,plain,
spl33_3,
inference(sat_conversion,[],[f702]) ).
cnf(s31,plain,
spl33_2,
inference(sat_conversion,[],[f703]) ).
cnf(s32,plain,
spl33_1,
inference(sat_conversion,[],[f704]) ).
cnf(s33,plain,
( spl33_30
| spl33_32 ),
inference(sat_conversion,[],[f854]) ).
cnf(s35,plain,
~ spl33_32,
inference(rat,[],[s4,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16,s17,s18,s19,s20,s21,s22,s23,s24,s25,s26,s27,s28,s29,s30,s31,s32]) ).
cnf(s36,plain,
spl33_30,
inference(rat,[],[s33,s35]) ).
cnf(s38,plain,
$false,
inference(rat,[],[s2,s36,s6,s7,s8,s9,s10,s11,s12,s13,s14,s15,s16,s17,s18,s19,s20,s21,s22,s23,s24,s25,s26,s27,s28,s29,s30,s31,s32]) ).
fof(f856,plain,
$false,
inference(avatar_sat_refutation,[],[s38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV092+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n006.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 09:52:40 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.30 % (3858219)Will run a generic schedule for satisfiability detection.
% 0.21/0.30 % (3858228)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3054484039:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.30 % (3858225)% WARNING: option uhcvi not known.
% 0.21/0.30 % (3858224)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2805856076_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.30 % (3858225)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2418762829:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.30 % (3858226)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1338470419:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.30 % (3858227)dis+10_1_sil=32000:sp=arity:random_seed=652364768:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.30 % (3858229)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1875957579:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.30 % (3858230)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=454165104:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.30 % (3858225) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3858219-3858225"...
% 0.21/0.30 % (3858227) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3858219-3858227"...
% 0.21/0.30 % (3858225)...printing done.
% 0.21/0.30 % (3858225)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Theorem for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (3858225)------------------------------
% 0.21/0.31 % (3858225)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (3858225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (3858225)CaDiCaL version: 2.1.3
% 0.21/0.31 % (3858225)Termination reason: Refutation
% 0.21/0.31 % (3858225)Time elapsed: 0.017 s
% 0.21/0.31 % (3858225)Peak memory usage: 13 MB
% 0.21/0.31 % (3858225)Instructions burned: 30 (million)
% 0.21/0.31 % (3858219)Success in time 0.063 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------