%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV205+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 : n016.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 01:08:23 PM UTC 2026
% Result : Theorem 3.14s 1.06s
% Output : Refutation 3.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 14
% Syntax : Number of formulae : 91 ( 41 unt; 7 def)
% Number of atoms : 440 ( 286 equ)
% Maximal formula atoms : 40 ( 4 avg)
% Number of connectives : 437 ( 88 ~; 139 |; 195 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 34 ( 5 avg)
% Maximal term depth : 7 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 16 con; 0-3 aty)
% Number of variables : 33 ( 0 sgn 30 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
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
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n998) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,n998) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n5) )
=> a_select2(sigma_defuse,X4) = use ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quaternion_ds1_inuse_0016) ).
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
& ! [X0,X1] :
( ( leq(n0,X0)
& leq(n0,X1)
& leq(X0,n2)
& leq(X1,n998) )
=> a_select3(u_defuse,X0,X1) = use )
& ! [X2,X3] :
( ( leq(n0,X2)
& leq(n0,X3)
& leq(X2,n2)
& leq(X3,n998) )
=> a_select3(z_defuse,X2,X3) = use ) )
=> ! [X4] :
( ( leq(n0,X4)
& leq(X4,n5) )
=> a_select2(sigma_defuse,X4) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f84,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n5) )
=> ( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',finite_domain_5) ).
fof(f89,axiom,
succ(succ(succ(succ(n0)))) = n4,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_4) ).
fof(f90,axiom,
succ(succ(succ(succ(succ(n0))))) = n5,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_5) ).
fof(f91,axiom,
succ(n0) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_1) ).
fof(f92,axiom,
succ(succ(n0)) = n2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_2) ).
fof(f93,axiom,
succ(succ(succ(n0))) = n3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',successor_3) ).
fof(f94,plain,
( ? [X4] :
( use != a_select2(sigma_defuse,X4)
& leq(n0,X4)
& leq(X4,n5) )
& 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] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,n998) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,n998) ) ),
inference(ennf_transformation,[],[f54]) ).
fof(f95,plain,
( ? [X4] :
( use != a_select2(sigma_defuse,X4)
& leq(n0,X4)
& leq(X4,n5) )
& 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] :
( a_select3(u_defuse,X0,X1) = use
| ~ leq(n0,X0)
| ~ leq(n0,X1)
| ~ leq(X0,n2)
| ~ leq(X1,n998) )
& ! [X2,X3] :
( a_select3(z_defuse,X2,X3) = use
| ~ leq(n0,X2)
| ~ leq(n0,X3)
| ~ leq(X2,n2)
| ~ leq(X3,n998) ) ),
inference(flattening,[],[f94]) ).
fof(f111,plain,
! [X0] :
( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(ennf_transformation,[],[f84]) ).
fof(f112,plain,
! [X0] :
( X0 = n0
| X0 = n1
| X0 = n2
| X0 = n3
| X0 = n4
| X0 = n5
| ~ leq(n0,X0)
| ~ leq(X0,n5) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
( ? [X0] :
( use != a_select2(sigma_defuse,X0)
& leq(n0,X0)
& leq(X0,n5) )
& 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
& ! [X1,X2] :
( use = a_select3(u_defuse,X1,X2)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,n998) )
& ! [X3,X4] :
( use = a_select3(z_defuse,X3,X4)
| ~ leq(n0,X3)
| ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(X4,n998) ) ),
inference(rectify,[],[f95]) ).
fof(f114,plain,
( use != a_select2(sigma_defuse,sK0)
& leq(n0,sK0)
& leq(sK0,n5)
& 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
& ! [X1,X2] :
( use = a_select3(u_defuse,X1,X2)
| ~ leq(n0,X1)
| ~ leq(n0,X2)
| ~ leq(X1,n2)
| ~ leq(X2,n998) )
& ! [X3,X4] :
( use = a_select3(z_defuse,X3,X4)
| ~ leq(n0,X3)
| ~ leq(n0,X4)
| ~ leq(X3,n2)
| ~ leq(X4,n998) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f113]) ).
fof(f135,plain,
use = a_select2(sigma_defuse,n5),
inference(cnf_transformation,[],[f114]) ).
fof(f136,plain,
use = a_select2(sigma_defuse,n4),
inference(cnf_transformation,[],[f114]) ).
fof(f137,plain,
use = a_select2(sigma_defuse,n3),
inference(cnf_transformation,[],[f114]) ).
fof(f138,plain,
use = a_select2(sigma_defuse,n2),
inference(cnf_transformation,[],[f114]) ).
fof(f139,plain,
use = a_select2(sigma_defuse,n1),
inference(cnf_transformation,[],[f114]) ).
fof(f140,plain,
use = a_select2(sigma_defuse,n0),
inference(cnf_transformation,[],[f114]) ).
fof(f144,plain,
leq(sK0,n5),
inference(cnf_transformation,[],[f114]) ).
fof(f145,plain,
leq(n0,sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f146,plain,
use != a_select2(sigma_defuse,sK0),
inference(cnf_transformation,[],[f114]) ).
fof(f152,plain,
n1 = succ(n0),
inference(cnf_transformation,[],[f91]) ).
fof(f155,plain,
n2 = succ(succ(n0)),
inference(cnf_transformation,[],[f92]) ).
fof(f159,plain,
n3 = succ(succ(succ(n0))),
inference(cnf_transformation,[],[f93]) ).
fof(f164,plain,
n4 = succ(succ(succ(succ(n0)))),
inference(cnf_transformation,[],[f89]) ).
fof(f170,plain,
n5 = succ(succ(succ(succ(succ(n0))))),
inference(cnf_transformation,[],[f90]) ).
fof(f171,plain,
! [X0] :
( ~ leq(n0,X0)
| n1 = X0
| n2 = X0
| n3 = X0
| n4 = X0
| n5 = X0
| n0 = X0
| ~ leq(X0,n5) ),
inference(cnf_transformation,[],[f112]) ).
fof(f184,definition,
~ sP1(use),
introduced(definition,[new_symbols(definition,[sP1])],[inequality_splitting_name_introduction]) ).
fof(f185,plain,
sP1(a_select2(sigma_defuse,sK0)),
inference(inequality_splitting,[],[f146,f184]) ).
fof(f203,plain,
use = a_select2(sigma_defuse,succ(succ(succ(succ(succ(n0)))))),
inference(forward_demodulation,[],[f135,f170]) ).
fof(f204,plain,
use = a_select2(sigma_defuse,succ(succ(succ(succ(n0))))),
inference(forward_demodulation,[],[f136,f164]) ).
fof(f205,plain,
use = a_select2(sigma_defuse,succ(succ(succ(n0)))),
inference(forward_demodulation,[],[f137,f159]) ).
fof(f206,plain,
use = a_select2(sigma_defuse,succ(succ(n0))),
inference(forward_demodulation,[],[f138,f155]) ).
fof(f207,plain,
use = a_select2(sigma_defuse,succ(n0)),
inference(forward_demodulation,[],[f139,f152]) ).
fof(f210,plain,
leq(sK0,succ(succ(succ(succ(succ(n0)))))),
inference(forward_demodulation,[],[f144,f170]) ).
fof(f211,plain,
( n1 = sK0
| n2 = sK0
| n3 = sK0
| n4 = sK0
| n5 = sK0
| n0 = sK0
| ~ leq(sK0,n5) ),
inference(resolution,[],[f145,f171]) ).
fof(f223,definition,
( spl2_2
<=> n0 = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f225,plain,
( n0 = sK0
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f223]) ).
fof(f231,plain,
( succ(n0) = sK0
| n2 = sK0
| n3 = sK0
| n4 = sK0
| n5 = sK0
| n0 = sK0
| ~ leq(sK0,n5) ),
inference(forward_demodulation,[],[f211,f152]) ).
fof(f236,plain,
( succ(succ(n0)) = sK0
| succ(n0) = sK0
| n3 = sK0
| n4 = sK0
| n5 = sK0
| n0 = sK0
| ~ leq(sK0,n5) ),
inference(forward_demodulation,[],[f231,f155]) ).
fof(f238,definition,
( spl2_3
<=> succ(n0) = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_3])],[avatar_definition]) ).
fof(f240,plain,
( succ(n0) = sK0
| ~ spl2_3 ),
inference(avatar_component_clause,[],[f238]) ).
fof(f249,plain,
( succ(succ(succ(n0))) = sK0
| succ(succ(n0)) = sK0
| succ(n0) = sK0
| n4 = sK0
| n5 = sK0
| n0 = sK0
| ~ leq(sK0,n5) ),
inference(forward_demodulation,[],[f236,f159]) ).
fof(f251,definition,
( spl2_5
<=> succ(succ(n0)) = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_5])],[avatar_definition]) ).
fof(f253,plain,
( succ(succ(n0)) = sK0
| ~ spl2_5 ),
inference(avatar_component_clause,[],[f251]) ).
fof(f261,plain,
( succ(succ(succ(succ(n0)))) = sK0
| succ(succ(succ(n0))) = sK0
| succ(succ(n0)) = sK0
| succ(n0) = sK0
| n5 = sK0
| n0 = sK0
| ~ leq(sK0,n5) ),
inference(forward_demodulation,[],[f249,f164]) ).
fof(f263,definition,
( spl2_7
<=> succ(succ(succ(n0))) = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_7])],[avatar_definition]) ).
fof(f265,plain,
( succ(succ(succ(n0))) = sK0
| ~ spl2_7 ),
inference(avatar_component_clause,[],[f263]) ).
fof(f272,plain,
( succ(succ(succ(succ(succ(n0))))) = sK0
| succ(succ(succ(succ(n0)))) = sK0
| succ(succ(succ(n0))) = sK0
| succ(succ(n0)) = sK0
| succ(n0) = sK0
| n0 = sK0
| ~ leq(sK0,n5) ),
inference(forward_demodulation,[],[f261,f170]) ).
fof(f274,definition,
( spl2_9
<=> succ(succ(succ(succ(n0)))) = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f276,plain,
( succ(succ(succ(succ(n0)))) = sK0
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f274]) ).
fof(f282,plain,
( ~ leq(sK0,succ(succ(succ(succ(succ(n0))))))
| succ(succ(succ(succ(succ(n0))))) = sK0
| succ(succ(succ(succ(n0)))) = sK0
| succ(succ(succ(n0))) = sK0
| succ(succ(n0)) = sK0
| succ(n0) = sK0
| n0 = sK0 ),
inference(forward_demodulation,[],[f272,f170]) ).
fof(f283,plain,
( succ(succ(succ(succ(succ(n0))))) = sK0
| succ(succ(succ(succ(n0)))) = sK0
| succ(succ(succ(n0))) = sK0
| succ(succ(n0)) = sK0
| succ(n0) = sK0
| n0 = sK0 ),
inference(forward_subsumption_resolution,[],[f282,f210]) ).
fof(f285,definition,
( spl2_11
<=> succ(succ(succ(succ(succ(n0))))) = sK0 ),
introduced(definition,[new_symbols(definition,[spl2_11])],[avatar_definition]) ).
fof(f287,plain,
( succ(succ(succ(succ(succ(n0))))) = sK0
| ~ spl2_11 ),
inference(avatar_component_clause,[],[f285]) ).
fof(f288,plain,
( spl2_2
| spl2_3
| spl2_5
| spl2_7
| spl2_9
| spl2_11 ),
inference(avatar_split_clause,[],[f283,f285,f274,f263,f251,f238,f223]) ).
fof(f290,plain,
( sP1(a_select2(sigma_defuse,n0))
| ~ spl2_2 ),
inference(superposition,[],[f185,f225]) ).
fof(f291,plain,
( sP1(use)
| ~ spl2_2 ),
inference(forward_demodulation,[],[f290,f140]) ).
fof(f292,plain,
( $false
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f291,f184]) ).
fof(f293,plain,
~ spl2_2,
inference(avatar_contradiction_clause,[],[f292]) ).
fof(f296,plain,
( sP1(a_select2(sigma_defuse,succ(n0)))
| ~ spl2_3 ),
inference(superposition,[],[f185,f240]) ).
fof(f298,plain,
( sP1(use)
| ~ spl2_3 ),
inference(forward_demodulation,[],[f296,f207]) ).
fof(f299,plain,
( $false
| ~ spl2_3 ),
inference(forward_subsumption_resolution,[],[f298,f184]) ).
fof(f300,plain,
~ spl2_3,
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f302,plain,
( sP1(a_select2(sigma_defuse,succ(succ(n0))))
| ~ spl2_5 ),
inference(superposition,[],[f185,f253]) ).
fof(f307,plain,
( sP1(use)
| ~ spl2_5 ),
inference(forward_demodulation,[],[f302,f206]) ).
fof(f308,plain,
( $false
| ~ spl2_5 ),
inference(forward_subsumption_resolution,[],[f307,f184]) ).
fof(f309,plain,
~ spl2_5,
inference(avatar_contradiction_clause,[],[f308]) ).
fof(f312,plain,
( sP1(a_select2(sigma_defuse,succ(succ(succ(succ(n0))))))
| ~ spl2_9 ),
inference(superposition,[],[f185,f276]) ).
fof(f320,plain,
( sP1(use)
| ~ spl2_9 ),
inference(forward_demodulation,[],[f312,f204]) ).
fof(f321,plain,
( $false
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f320,f184]) ).
fof(f322,plain,
~ spl2_9,
inference(avatar_contradiction_clause,[],[f321]) ).
fof(f326,plain,
( sP1(a_select2(sigma_defuse,succ(succ(succ(succ(succ(n0)))))))
| ~ spl2_11 ),
inference(superposition,[],[f185,f287]) ).
fof(f337,plain,
( sP1(use)
| ~ spl2_11 ),
inference(forward_demodulation,[],[f326,f203]) ).
fof(f338,plain,
( $false
| ~ spl2_11 ),
inference(forward_subsumption_resolution,[],[f337,f184]) ).
fof(f339,plain,
~ spl2_11,
inference(avatar_contradiction_clause,[],[f338]) ).
fof(f343,plain,
( sP1(a_select2(sigma_defuse,succ(succ(succ(n0)))))
| ~ spl2_7 ),
inference(superposition,[],[f185,f265]) ).
fof(f356,plain,
( sP1(use)
| ~ spl2_7 ),
inference(forward_demodulation,[],[f343,f205]) ).
fof(f357,plain,
( $false
| ~ spl2_7 ),
inference(forward_subsumption_resolution,[],[f356,f184]) ).
fof(f358,plain,
~ spl2_7,
inference(avatar_contradiction_clause,[],[f357]) ).
cnf(s6,plain,
( spl2_2
| spl2_3
| spl2_5
| spl2_7
| spl2_9
| spl2_11 ),
inference(sat_conversion,[],[f288]) ).
cnf(s7,plain,
~ spl2_2,
inference(sat_conversion,[],[f293]) ).
cnf(s8,plain,
~ spl2_3,
inference(sat_conversion,[],[f300]) ).
cnf(s9,plain,
~ spl2_5,
inference(sat_conversion,[],[f309]) ).
cnf(s10,plain,
~ spl2_9,
inference(sat_conversion,[],[f322]) ).
cnf(s11,plain,
~ spl2_11,
inference(sat_conversion,[],[f339]) ).
cnf(s13,plain,
~ spl2_7,
inference(sat_conversion,[],[f358]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s6,s11,s10,s13,s9,s8,s7]) ).
fof(f359,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV205+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n016.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 10:14:19 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 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
% 3.14/1.06 % (3527247)Detected formulas, will run a generic FOF schedule.
% 3.14/1.06 % (3527254)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=619601677:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.14/1.06 % (3527253)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=2257205071:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.14/1.06 % (3527257)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1430716597:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.14/1.06 % (3527252)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=2392243545:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.14/1.06 % (3527256)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=106519596:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.14/1.06 % (3527258)dis-21_1_sil=8000:lcm=predicate:random_seed=2133762039: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)
% 3.14/1.06 % (3527255)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2142276932:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.14/1.06 % (3527255)First to succeed.
% 3.14/1.06 % (3527255)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3527247"
% 3.14/1.06 % (3527257)Also succeeded, but the first one will report.
% 3.14/1.06 % (3527256)Instruction limit reached!
% 3.14/1.06 % (3527256)------------------------------
% 3.14/1.06 % (3527256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.06 % (3527256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.06 % (3527256)CaDiCaL version: 2.1.3
% 3.14/1.06 % (3527256)Termination reason: Instruction limit
% 3.14/1.06 % (3527256)Termination phase: Saturation
% 3.14/1.06 % (3527256)Time elapsed: 0.067 s
% 3.14/1.06 % (3527256)Peak memory usage: 88 MB
% 3.14/1.06 % (3527256)Instructions burned: 119 (million)
% 3.14/1.06 % (3527258)Instruction limit reached!
% 3.14/1.06 % (3527258)------------------------------
% 3.14/1.06 % (3527258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.14/1.06 % (3527258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.14/1.06 % (3527258)CaDiCaL version: 2.1.3
% 3.14/1.06 % (3527258)Termination reason: Instruction limit
% 3.14/1.06 % (3527258)Termination phase: Saturation
% 3.14/1.06 % (3527258)Time elapsed: 0.073 s
% 3.14/1.06 % (3527258)Peak memory usage: 89 MB
% 3.14/1.06 % (3527258)Instructions burned: 129 (million)
% 3.14/1.06 % (3527267)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1907546026:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.14/1.06 % (3527266)lrs+10_1_sil=8000:sp=occurrence:random_seed=231294184:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.14/1.06 % (3527266)Also succeeded, but the first one will report.
% 3.14/1.06 % (3527255)Refutation found. Thanks to Tanya!
% 3.14/1.06 % SZS status Theorem for theBenchmark
% 3.14/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.54/1.25 % (3527255)------------------------------
% 3.54/1.25 % (3527255)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.54/1.25 % (3527255)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.54/1.25 % (3527255)CaDiCaL version: 2.1.3
% 3.54/1.25 % (3527255)Termination reason: Refutation
% 3.54/1.25 % (3527255)Time elapsed: 0.008 s
% 3.54/1.25 % (3527255)Peak memory usage: 89 MB
% 3.54/1.25 % (3527255)Instructions burned: 13 (million)
% 3.54/1.25 % (3527255)------------------------------
% 3.54/1.25 % (3527255)------------------------------
% 3.54/1.25 % (3527247)Success in time 0.421 s
% 3.54/1.25 % Vampire exiting
%------------------------------------------------------------------------------