%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV196+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:08:21 PM UTC 2026
% Result : Theorem 0.90s 0.71s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 58 ( 21 unt; 5 def)
% Number of atoms : 418 ( 222 equ)
% Maximal formula atoms : 52 ( 7 avg)
% Number of connectives : 473 ( 113 ~; 89 |; 254 &)
% ( 6 <=>; 11 =>; 0 <=; 0 <~>)
% Maximal formula depth : 45 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 22 ( 22 usr; 18 con; 0-3 aty)
% Number of variables : 66 ( 0 sgn 60 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1,X2] :
( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity_leq) ).
fof(f10,axiom,
! [X0,X1] :
( leq(X0,pred(X1))
<=> gt(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leq_gt_pred) ).
fof(f39,axiom,
! [X0] : minus(X0,n1) = pred(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pred(pv5)) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,pred(pv5)) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( ( ~ ( n0 = X4
& pv5 = X5 )
& ~ ( n1 = X4
& pv5 = X5 )
& ~ ( n2 = X4
& pv5 = X5 ) )
=> a_select3(z_defuse,X4,X5) = use ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0007) ).
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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pred(pv5)) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,pred(pv5)) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4,X5] :
( ( leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
=> ( ( ~ ( n0 = X4
& pv5 = X5 )
& ~ ( n1 = X4
& pv5 = X5 )
& ~ ( n2 = X4
& pv5 = X5 ) )
=> a_select3(z_defuse,X4,X5) = use ) ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f100,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& ( n0 != X4
| pv5 != X5 )
& ( n1 != X4
| pv5 != X5 )
& ( n2 != X4
| pv5 != X5 )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
& 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5)) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f101,plain,
( ? [X4,X5] :
( use != a_select3(z_defuse,X4,X5)
& ( n0 != X4
| pv5 != X5 )
& ( n1 != X4
| pv5 != X5 )
& ( n2 != X4
| pv5 != X5 )
& leq(n0,X4)
& leq(n0,X5)
& leq(X4,n2)
& leq(X5,pv5) )
& 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X0,X1] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,pred(pv5)) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) ) ),
inference(flattening,[],[f100]) ).
fof(f121,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(ennf_transformation,[],[f5]) ).
fof(f122,plain,
! [X0,X1,X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(flattening,[],[f121]) ).
fof(f153,plain,
( ? [X0,X1] :
( use != a_select3(z_defuse,X0,X1)
& ( n0 != X0
| pv5 != X1 )
& ( n1 != X0
| pv5 != X1 )
& ( n2 != X0
| pv5 != X1 )
& leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,pv5) )
& 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) )
& ! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5)) ) ),
inference(rectify,[],[f101]) ).
fof(f154,plain,
( use != a_select3(z_defuse,sK3,sK4)
& ( n0 != sK3
| pv5 != sK4 )
& ( n1 != sK3
| pv5 != sK4 )
& ( n2 != sK3
| pv5 != sK4 )
& leq(n0,sK3)
& leq(n0,sK4)
& leq(sK3,n2)
& leq(sK4,pv5)
& 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& gt(pv5,n0)
& ! [X2,X3] :
( use = a_select3(u_defuse,X2,X3)
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,pred(pv5)) )
& ! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f153]) ).
fof(f155,plain,
! [X0,X1] :
( ( leq(X0,pred(X1))
| ~ gt(X1,X0) )
& ( gt(X1,X0)
| ~ leq(X0,pred(X1)) ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f181,plain,
! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,pred(pv5)) ),
inference(cnf_transformation,[],[f154]) ).
fof(f183,plain,
gt(pv5,n0),
inference(cnf_transformation,[],[f154]) ).
fof(f185,plain,
leq(pv5,n0),
inference(cnf_transformation,[],[f154]) ).
fof(f214,plain,
leq(sK4,pv5),
inference(cnf_transformation,[],[f154]) ).
fof(f215,plain,
leq(sK3,n2),
inference(cnf_transformation,[],[f154]) ).
fof(f216,plain,
leq(n0,sK4),
inference(cnf_transformation,[],[f154]) ).
fof(f217,plain,
leq(n0,sK3),
inference(cnf_transformation,[],[f154]) ).
fof(f221,plain,
use != a_select3(z_defuse,sK3,sK4),
inference(cnf_transformation,[],[f154]) ).
fof(f276,plain,
! [X0] : minus(X0,n1) = pred(X0),
inference(cnf_transformation,[],[f39]) ).
fof(f278,plain,
! [X0,X1] :
( leq(X0,pred(X1))
| ~ gt(X1,X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f289,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2) ),
inference(cnf_transformation,[],[f122]) ).
fof(f355,plain,
! [X4,X5] :
( use = a_select3(z_defuse,X4,X5)
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ),
inference(definition_unfolding,[],[f181,f276]) ).
fof(f373,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| leq(X0,minus(X1,n1)) ),
inference(definition_unfolding,[],[f278,f276]) ).
fof(f385,definition,
! [X0,X1] :
( sQ26_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(definition,[new_symbols(definition,[sQ26_eqProxy])],[equality_proxy_definition]) ).
fof(f386,plain,
~ sQ26_eqProxy(use,a_select3(z_defuse,sK3,sK4)),
inference(equality_proxy_replacement,[],[f221,f385]) ).
fof(f418,plain,
! [X4,X5] :
( sQ26_eqProxy(use,a_select3(z_defuse,X4,X5))
| ~ leq(n0,X4)
| ~ leq(n0,X5)
| ~ leq(X4,n2)
| ~ leq(X5,minus(pv5,n1)) ),
inference(equality_proxy_replacement,[],[f355,f385]) ).
fof(f511,plain,
( ~ leq(n0,sK3)
| ~ leq(n0,sK4)
| ~ leq(sK3,n2)
| ~ leq(sK4,minus(pv5,n1)) ),
inference(resolution,[],[f418,f386]) ).
fof(f513,definition,
( spl27_5
<=> leq(sK4,minus(pv5,n1)) ),
introduced(definition,[new_symbols(definition,[spl27_5])],[avatar_definition]) ).
fof(f514,plain,
( ~ leq(sK4,minus(pv5,n1))
| spl27_5 ),
inference(avatar_component_clause,[],[f513]) ).
fof(f516,definition,
( spl27_6
<=> leq(sK3,n2) ),
introduced(definition,[new_symbols(definition,[spl27_6])],[avatar_definition]) ).
fof(f517,plain,
( ~ leq(sK3,n2)
| spl27_6 ),
inference(avatar_component_clause,[],[f516]) ).
fof(f519,definition,
( spl27_7
<=> leq(n0,sK4) ),
introduced(definition,[new_symbols(definition,[spl27_7])],[avatar_definition]) ).
fof(f520,plain,
( ~ leq(n0,sK4)
| spl27_7 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f522,definition,
( spl27_8
<=> leq(n0,sK3) ),
introduced(definition,[new_symbols(definition,[spl27_8])],[avatar_definition]) ).
fof(f523,plain,
( ~ leq(n0,sK3)
| spl27_8 ),
inference(avatar_component_clause,[],[f522]) ).
fof(f524,plain,
( ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(avatar_split_clause,[],[f511,f522,f519,f516,f513]) ).
fof(f582,plain,
leq(n0,minus(pv5,n1)),
inference(resolution,[],[f373,f183]) ).
fof(f608,plain,
( ! [X0] :
( ~ leq(X0,minus(pv5,n1))
| ~ leq(sK4,X0) )
| spl27_5 ),
inference(resolution,[],[f289,f514]) ).
fof(f612,plain,
( ~ leq(sK4,n0)
| spl27_5 ),
inference(resolution,[],[f608,f582]) ).
fof(f613,plain,
( ! [X0] :
( ~ leq(sK4,X0)
| ~ leq(X0,n0) )
| spl27_5 ),
inference(resolution,[],[f612,f289]) ).
fof(f622,plain,
( ~ leq(pv5,n0)
| spl27_5 ),
inference(resolution,[],[f613,f214]) ).
fof(f626,plain,
( $false
| spl27_5 ),
inference(resolution,[],[f622,f185]) ).
fof(f628,plain,
spl27_5,
inference(avatar_contradiction_clause,[],[f626]) ).
fof(f629,plain,
( $false
| spl27_6 ),
inference(resolution,[],[f517,f215]) ).
fof(f631,plain,
spl27_6,
inference(avatar_contradiction_clause,[],[f629]) ).
fof(f632,plain,
( $false
| spl27_7 ),
inference(resolution,[],[f520,f216]) ).
fof(f634,plain,
spl27_7,
inference(avatar_contradiction_clause,[],[f632]) ).
fof(f635,plain,
( $false
| spl27_8 ),
inference(resolution,[],[f523,f217]) ).
fof(f637,plain,
spl27_8,
inference(avatar_contradiction_clause,[],[f635]) ).
cnf(s4,plain,
( ~ spl27_5
| ~ spl27_6
| ~ spl27_7
| ~ spl27_8 ),
inference(sat_conversion,[],[f524]) ).
cnf(s5,plain,
spl27_5,
inference(sat_conversion,[],[f628]) ).
cnf(s6,plain,
spl27_6,
inference(sat_conversion,[],[f631]) ).
cnf(s7,plain,
spl27_7,
inference(sat_conversion,[],[f634]) ).
cnf(s8,plain,
spl27_8,
inference(sat_conversion,[],[f637]) ).
cnf(s9,plain,
$false,
inference(rat,[],[s4,s8,s7,s6,s5]) ).
fof(f638,plain,
$false,
inference(avatar_sat_refutation,[],[s9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV196+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n026.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 10:11:26 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.22 Running first-order theorem proving
% 0.07/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.90/0.71 % (3747363)Detected formulas, will run a generic FOF schedule.
% 0.90/0.71 % (3747450)dis-21_1_sil=8000:lcm=predicate:random_seed=1263291830:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.90/0.71 % (3747450)First to succeed.
% 0.90/0.71 % (3747450)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3747363"
% 0.90/0.71 % (3747442)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3014722191:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.90/0.71 % (3747448)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1803222978:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.90/0.71 % (3747447)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3950568206:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.90/0.71 % (3747448)Also succeeded, but the first one will report.
% 0.90/0.71 % (3747443)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=4065692951:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.90/0.71 % (3747447)Also succeeded, but the first one will report.
% 0.90/0.71 % (3747446)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3614130912:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.90/0.71 % (3747449)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2302184533:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.90/0.71 % (3747449)Also succeeded, but the first one will report.
% 0.90/0.71 % (3747450)Refutation found. Thanks to Tanya!
% 0.90/0.71 % SZS status Theorem for theBenchmark
% 0.90/0.71 % SZS output start Proof for theBenchmark
% See solution above
% 2.37/0.91 % (3747450)------------------------------
% 2.37/0.91 % (3747450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.37/0.91 % (3747450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.37/0.91 % (3747450)CaDiCaL version: 2.1.3
% 2.37/0.91 % (3747450)Termination reason: Refutation
% 2.37/0.91 % (3747450)Time elapsed: 0.006 s
% 2.37/0.91 % (3747450)Peak memory usage: 90 MB
% 2.37/0.91 % (3747450)Instructions burned: 17 (million)
% 2.37/0.91 % (3747450)------------------------------
% 2.37/0.91 % (3747450)------------------------------
% 2.37/0.91 % (3747363)Success in time 0.273 s
% 2.37/0.91 % Vampire exiting
%------------------------------------------------------------------------------