%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV198+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 : n005.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 01:20:26 PM UTC 2026
% Result : Theorem 0.19s 0.28s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 75 ( 20 unt; 6 def)
% Number of atoms : 419 ( 228 equ)
% Maximal formula atoms : 45 ( 5 avg)
% Number of connectives : 447 ( 103 ~; 102 |; 226 &)
% ( 6 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 7 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 18 con; 0-3 aty)
% Number of variables : 42 ( 0 sgn 36 !; 6 ?)
% 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
& leq(n0,pv5)
& leq(pv5,n0)
& leq(pv5,n998)
& ! [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) )
=> a_select3(u_defuse,X4,X5) = use ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quaternion_ds1_inuse_0009) ).
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)
& ! [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) )
=> a_select3(u_defuse,X4,X5) = use ) ),
inference(negated_conjecture,[status(cth)],[f53]) ).
fof(f85,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n0) )
=> X0 = n0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_0) ).
fof(f87,axiom,
! [X0] :
( ( leq(n0,X0)
& leq(X0,n2) )
=> ( X0 = n0
| X0 = n1
| X0 = n2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',finite_domain_2) ).
fof(f143,plain,
( ? [X4,X5] :
( use != a_select3(u_defuse,X4,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)
& ! [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(f144,plain,
( ? [X4,X5] :
( use != a_select3(u_defuse,X4,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)
& ! [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,[],[f143]) ).
fof(f149,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f150,plain,
! [X0] :
( X0 = n0
| ~ leq(n0,X0)
| ~ leq(X0,n0) ),
inference(flattening,[],[f149]) ).
fof(f153,plain,
! [X0] :
( X0 = n0
| X0 = n1
| X0 = n2
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(ennf_transformation,[],[f87]) ).
fof(f154,plain,
! [X0] :
( X0 = n0
| X0 = n1
| X0 = n2
| ~ leq(n0,X0)
| ~ leq(X0,n2) ),
inference(flattening,[],[f153]) ).
fof(f197,plain,
( ? [X0,X1] :
( use != a_select3(u_defuse,X0,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)
& ! [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,[],[f144]) ).
fof(f198,plain,
( use != a_select3(u_defuse,sK31,sK32)
& leq(n0,sK31)
& leq(n0,sK32)
& leq(sK31,n2)
& leq(sK32,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)
& ! [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,[sK31,sK32]),skolemize(X0,sK31),skolemize(X1,sK32)],[f197]) ).
fof(f312,plain,
leq(pv5,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f313,plain,
leq(n0,pv5),
inference(cnf_transformation,[],[f198]) ).
fof(f329,plain,
use = a_select3(u_defuse,n2,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f330,plain,
use = a_select3(u_defuse,n1,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f331,plain,
use = a_select3(u_defuse,n0,n0),
inference(cnf_transformation,[],[f198]) ).
fof(f341,plain,
leq(sK32,pv5),
inference(cnf_transformation,[],[f198]) ).
fof(f342,plain,
leq(sK31,n2),
inference(cnf_transformation,[],[f198]) ).
fof(f343,plain,
leq(n0,sK32),
inference(cnf_transformation,[],[f198]) ).
fof(f344,plain,
leq(n0,sK31),
inference(cnf_transformation,[],[f198]) ).
fof(f345,plain,
use != a_select3(u_defuse,sK31,sK32),
inference(cnf_transformation,[],[f198]) ).
fof(f376,plain,
! [X0] :
( ~ leq(n0,X0)
| n0 = X0
| ~ leq(X0,n0) ),
inference(cnf_transformation,[],[f150]) ).
fof(f378,plain,
! [X0] :
( ~ leq(n0,X0)
| n1 = X0
| n2 = X0
| n0 = X0
| ~ leq(X0,n2) ),
inference(cnf_transformation,[],[f154]) ).
fof(f630,definition,
( spl33_18
<=> n0 = pv5 ),
introduced(definition,[new_symbols(definition,[spl33_18])],[avatar_definition]) ).
fof(f632,plain,
( n0 = pv5
| ~ spl33_18 ),
inference(avatar_component_clause,[],[f630]) ).
fof(f755,definition,
( spl33_22
<=> n2 = sK31 ),
introduced(definition,[new_symbols(definition,[spl33_22])],[avatar_definition]) ).
fof(f756,plain,
( n2 != sK31
| spl33_22 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f757,plain,
( n2 = sK31
| ~ spl33_22 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f774,definition,
( spl33_26
<=> n0 = sK32 ),
introduced(definition,[new_symbols(definition,[spl33_26])],[avatar_definition]) ).
fof(f776,plain,
( n0 = sK32
| ~ spl33_26 ),
inference(avatar_component_clause,[],[f774]) ).
fof(f783,definition,
( spl33_28
<=> n0 = sK31 ),
introduced(definition,[new_symbols(definition,[spl33_28])],[avatar_definition]) ).
fof(f784,plain,
( n0 != sK31
| spl33_28 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f785,plain,
( n0 = sK31
| ~ spl33_28 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f803,plain,
( n0 = pv5
| ~ leq(pv5,n0) ),
inference(resolution,[],[f376,f313]) ).
fof(f814,plain,
( n0 = sK32
| ~ leq(sK32,n0) ),
inference(resolution,[],[f376,f343]) ).
fof(f833,plain,
n0 = pv5,
inference(forward_subsumption_resolution,[],[f803,f312]) ).
fof(f880,plain,
spl33_18,
inference(avatar_split_clause,[],[f833,f630]) ).
fof(f910,plain,
( use != a_select3(u_defuse,sK31,n0)
| ~ spl33_26 ),
inference(superposition,[],[f345,f776]) ).
fof(f913,plain,
( use != a_select3(u_defuse,n2,n0)
| ~ spl33_22
| ~ spl33_26 ),
inference(forward_demodulation,[],[f910,f757]) ).
fof(f917,plain,
( $false
| ~ spl33_22
| ~ spl33_26 ),
inference(forward_subsumption_resolution,[],[f913,f329]) ).
fof(f918,plain,
( ~ spl33_22
| ~ spl33_26 ),
inference(avatar_contradiction_clause,[],[f917]) ).
fof(f944,plain,
( use != a_select3(u_defuse,n0,sK32)
| ~ spl33_28 ),
inference(superposition,[],[f345,f785]) ).
fof(f975,plain,
( use != a_select3(u_defuse,n0,n0)
| ~ spl33_26
| ~ spl33_28 ),
inference(forward_demodulation,[],[f944,f776]) ).
fof(f979,plain,
( $false
| ~ spl33_26
| ~ spl33_28 ),
inference(forward_subsumption_resolution,[],[f975,f331]) ).
fof(f980,plain,
( ~ spl33_26
| ~ spl33_28 ),
inference(avatar_contradiction_clause,[],[f979]) ).
fof(f982,definition,
( spl33_45
<=> leq(sK32,n0) ),
introduced(definition,[new_symbols(definition,[spl33_45])],[avatar_definition]) ).
fof(f985,plain,
( ~ spl33_45
| spl33_26 ),
inference(avatar_split_clause,[],[f814,f774,f982]) ).
fof(f1129,plain,
( leq(sK32,n0)
| ~ spl33_18 ),
inference(superposition,[],[f341,f632]) ).
fof(f1159,plain,
( spl33_45
| ~ spl33_18 ),
inference(avatar_split_clause,[],[f1129,f630,f982]) ).
fof(f1165,definition,
( spl33_63
<=> n1 = sK31 ),
introduced(definition,[new_symbols(definition,[spl33_63])],[avatar_definition]) ).
fof(f1167,plain,
( n1 = sK31
| ~ spl33_63 ),
inference(avatar_component_clause,[],[f1165]) ).
fof(f1266,plain,
( n1 = sK31
| n2 = sK31
| n0 = sK31
| ~ leq(sK31,n2) ),
inference(resolution,[],[f378,f344]) ).
fof(f1271,plain,
( n1 = sK31
| n0 = sK31
| ~ leq(sK31,n2)
| spl33_22 ),
inference(forward_subsumption_resolution,[],[f1266,f756]) ).
fof(f1272,plain,
( n1 = sK31
| ~ leq(sK31,n2)
| spl33_22
| spl33_28 ),
inference(forward_subsumption_resolution,[],[f1271,f784]) ).
fof(f1273,plain,
( n1 = sK31
| spl33_22
| spl33_28 ),
inference(forward_subsumption_resolution,[],[f1272,f342]) ).
fof(f1274,plain,
( spl33_63
| spl33_22
| spl33_28 ),
inference(avatar_split_clause,[],[f1273,f783,f755,f1165]) ).
fof(f1281,plain,
( use != a_select3(u_defuse,n1,sK32)
| ~ spl33_63 ),
inference(superposition,[],[f345,f1167]) ).
fof(f1293,plain,
( use != a_select3(u_defuse,n1,n0)
| ~ spl33_26
| ~ spl33_63 ),
inference(forward_demodulation,[],[f1281,f776]) ).
fof(f1296,plain,
( $false
| ~ spl33_26
| ~ spl33_63 ),
inference(forward_subsumption_resolution,[],[f1293,f330]) ).
fof(f1297,plain,
( ~ spl33_26
| ~ spl33_63 ),
inference(avatar_contradiction_clause,[],[f1296]) ).
cnf(s26,plain,
spl33_18,
inference(sat_conversion,[],[f880]) ).
cnf(s32,plain,
( ~ spl33_22
| ~ spl33_26 ),
inference(sat_conversion,[],[f918]) ).
cnf(s40,plain,
( ~ spl33_26
| ~ spl33_28 ),
inference(sat_conversion,[],[f980]) ).
cnf(s41,plain,
( spl33_26
| ~ spl33_45 ),
inference(sat_conversion,[],[f985]) ).
cnf(s52,plain,
( ~ spl33_18
| spl33_45 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s58,plain,
( spl33_22
| spl33_28
| spl33_63 ),
inference(sat_conversion,[],[f1274]) ).
cnf(s64,plain,
( ~ spl33_26
| ~ spl33_63 ),
inference(sat_conversion,[],[f1297]) ).
cnf(s65,plain,
spl33_45,
inference(rat,[],[s52,s26]) ).
cnf(s67,plain,
spl33_26,
inference(rat,[],[s41,s65]) ).
cnf(s68,plain,
~ spl33_63,
inference(rat,[],[s64,s67]) ).
cnf(s71,plain,
~ spl33_28,
inference(rat,[],[s40,s67]) ).
cnf(s72,plain,
~ spl33_22,
inference(rat,[],[s32,s67]) ).
cnf(s75,plain,
$false,
inference(rat,[],[s58,s68,s71,s72]) ).
fof(f1298,plain,
$false,
inference(avatar_sat_refutation,[],[s75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV198+1 : TPTP v9.3.1. Bugfixed v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n005.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 10:08:46 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 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
% 0.19/0.28 % (688494)Will run a generic schedule for satisfiability detection.
% 0.19/0.28 % (688504)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=219354249:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.28 % (688500)% WARNING: option uhcvi not known.
% 0.19/0.28 % (688499)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4007469079_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.28 % (688501)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1772195293:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.28 % (688500)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2692239235:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.28 % (688502)dis+10_1_sil=32000:sp=arity:random_seed=2642235807:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.28 % (688503)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1845238119:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.28 % (688505)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1599743092:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.28 % (688502) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-688494-688502"...
% 0.19/0.28 % (688502)...printing done.
% 0.19/0.28 % (688500) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-688494-688500"...
% 0.19/0.28 % (688504)Instruction limit reached!
% 0.19/0.28 % (688504)------------------------------
% 0.19/0.28 % (688504)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.28 % (688504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.28 % (688504)CaDiCaL version: 2.1.3
% 0.19/0.28 % (688504)Termination reason: Instruction limit
% 0.19/0.28 % (688504)Termination phase: Saturation
% 0.19/0.28 % (688504)Time elapsed: 0.039 s
% 0.19/0.28 % (688504)Peak memory usage: 13 MB
% 0.19/0.28 % (688504)Instructions burned: 134 (million)
% 0.19/0.28 % (688502)Refutation found. Thanks to Tanya!
% 0.19/0.28 % SZS status Theorem for theBenchmark
% 0.19/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.29 % (688502)------------------------------
% 0.19/0.29 % (688502)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.29 % (688502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.29 % (688502)CaDiCaL version: 2.1.3
% 0.19/0.29 % (688502)Termination reason: Refutation
% 0.19/0.29 % (688502)Time elapsed: 0.027 s
% 0.19/0.29 % (688502)Peak memory usage: 13 MB
% 0.19/0.29 % (688502)Instructions burned: 42 (million)
% 0.19/0.29 % (688494)Success in time 0.065 s
% 0.19/0.29 % Vampire exiting
%------------------------------------------------------------------------------