%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : CAT032+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:36:46 AM UTC 2026
% Result : Theorem 7.88s 2.60s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 7
% Syntax : Number of formulae : 57 ( 8 unt; 0 def)
% Number of atoms : 402 ( 0 equ)
% Maximal formula atoms : 14 ( 7 avg)
% Number of connectives : 613 ( 268 ~; 263 |; 64 &)
% ( 3 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 10 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 133 ( 122 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3684,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_cat_2) ).
fof(f3782,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k11_cat_2) ).
fof(f3905,axiom,
! [X0,X1] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k12_nattra_1) ).
fof(f3929,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_isocat_1) ).
fof(f4014,axiom,
! [X0,X1,X2] :
( ( v2_cat_1(X0)
& l1_cat_1(X0)
& v2_cat_1(X1)
& l1_cat_1(X1)
& v2_cat_1(X2)
& l1_cat_1(X2) )
=> m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k17_isocat_2) ).
fof(f4080,axiom,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_isocat_2) ).
fof(f4081,conjecture,
! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t49_isocat_2) ).
fof(f4082,negated_conjecture,
~ ! [X0] :
( ( v2_cat_1(X0)
& l1_cat_1(X0) )
=> ! [X1] :
( ( v2_cat_1(X1)
& l1_cat_1(X1) )
=> ! [X2] :
( ( v2_cat_1(X2)
& l1_cat_1(X2) )
=> r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2))) ) ) ),
inference(negated_conjecture,[status(cth)],[f4081]) ).
fof(f4150,plain,
! [X0,X1,X2] :
( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(ennf_transformation,[],[f4014]) ).
fof(f4151,plain,
! [X0,X1,X2] :
( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(flattening,[],[f4150]) ).
fof(f4274,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f4080]) ).
fof(f4275,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f4274]) ).
fof(f4276,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(ennf_transformation,[],[f4082]) ).
fof(f4277,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
& v2_cat_1(X2)
& l1_cat_1(X2) )
& v2_cat_1(X1)
& l1_cat_1(X1) )
& v2_cat_1(X0)
& l1_cat_1(X0) ),
inference(flattening,[],[f4276]) ).
fof(f4342,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f3782]) ).
fof(f4343,plain,
! [X0,X1] :
( ( v2_cat_1(k11_cat_2(X0,X1))
& l1_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f4342]) ).
fof(f4661,plain,
! [X0] :
( ! [X1] :
( ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(ennf_transformation,[],[f3929]) ).
fof(f4662,plain,
! [X0] :
( ! [X1] :
( ( r1_isocat_1(X0,X1)
<=> ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(flattening,[],[f4661]) ).
fof(f5993,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f3905]) ).
fof(f5994,plain,
! [X0,X1] :
( ( v1_cat_1(k12_nattra_1(X0,X1))
& v2_cat_1(k12_nattra_1(X0,X1))
& l1_cat_1(k12_nattra_1(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f5993]) ).
fof(f5999,plain,
! [X0,X1] :
( ( v1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(ennf_transformation,[],[f3684]) ).
fof(f6000,plain,
! [X0,X1] :
( ( v1_cat_1(k11_cat_2(X0,X1))
& v2_cat_1(k11_cat_2(X0,X1)) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(flattening,[],[f5999]) ).
fof(f6684,plain,
( ~ r1_isocat_1(k12_nattra_1(sK34,k11_cat_2(sK35,sK36)),k11_cat_2(k12_nattra_1(sK34,sK35),k12_nattra_1(sK34,sK36)))
& v2_cat_1(sK36)
& l1_cat_1(sK36)
& v2_cat_1(sK35)
& l1_cat_1(sK35)
& v2_cat_1(sK34)
& l1_cat_1(sK34) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35,sK36]),skolemize(X0,sK34),skolemize(X1,sK35),skolemize(X2,sK36)],[f4277]) ).
fof(f6810,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ) )
& ( ? [X2] :
( m2_cat_1(X2,X0,X1)
& v8_cat_1(X2,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(nnf_transformation,[],[f4662]) ).
fof(f6811,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ) )
& ( ? [X3] :
( m2_cat_1(X3,X0,X1)
& v8_cat_1(X3,X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(rectify,[],[f6810]) ).
fof(f6812,plain,
! [X0] :
( ! [X1] :
( ( ( r1_isocat_1(X0,X1)
| ! [X2] :
( ~ m2_cat_1(X2,X0,X1)
| ~ v8_cat_1(X2,X0,X1) ) )
& ( ( m2_cat_1(sK157(X0,X1),X0,X1)
& v8_cat_1(sK157(X0,X1),X0,X1) )
| ~ r1_isocat_1(X0,X1) ) )
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) )
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK157]),skolemize(X3,sK157(X0,X1))],[f6811]) ).
fof(f7385,plain,
! [X2,X0,X1] :
( m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2) ),
inference(cnf_transformation,[],[f4151]) ).
fof(f7495,plain,
! [X2,X0,X1] :
( v8_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f4275]) ).
fof(f7496,plain,
l1_cat_1(sK34),
inference(cnf_transformation,[],[f6684]) ).
fof(f7497,plain,
v2_cat_1(sK34),
inference(cnf_transformation,[],[f6684]) ).
fof(f7498,plain,
l1_cat_1(sK35),
inference(cnf_transformation,[],[f6684]) ).
fof(f7499,plain,
v2_cat_1(sK35),
inference(cnf_transformation,[],[f6684]) ).
fof(f7500,plain,
l1_cat_1(sK36),
inference(cnf_transformation,[],[f6684]) ).
fof(f7501,plain,
v2_cat_1(sK36),
inference(cnf_transformation,[],[f6684]) ).
fof(f7502,plain,
~ r1_isocat_1(k12_nattra_1(sK34,k11_cat_2(sK35,sK36)),k11_cat_2(k12_nattra_1(sK34,sK35),k12_nattra_1(sK34,sK36))),
inference(cnf_transformation,[],[f6684]) ).
fof(f7619,plain,
! [X0,X1] :
( l1_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f4343]) ).
fof(f8062,plain,
! [X2,X0,X1] :
( ~ v8_cat_1(X2,X0,X1)
| ~ m2_cat_1(X2,X0,X1)
| r1_isocat_1(X0,X1)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(cnf_transformation,[],[f6812]) ).
fof(f9792,plain,
! [X0,X1] :
( l1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f5994]) ).
fof(f9793,plain,
! [X0,X1] :
( v2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f5994]) ).
fof(f9800,plain,
! [X0,X1] :
( v2_cat_1(k11_cat_2(X0,X1))
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1) ),
inference(cnf_transformation,[],[f6000]) ).
fof(f13147,plain,
! [X2,X0,X1] :
( ~ m2_cat_1(k17_isocat_2(X0,X1,X2),k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(resolution,[],[f8062,f7495]) ).
fof(f13179,plain,
! [X2,X0,X1] :
( ~ v2_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f13147,f7385]) ).
fof(f13194,plain,
! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2)) ),
inference(resolution,[],[f13179,f9793]) ).
fof(f13195,plain,
! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2)) ),
inference(duplicate_literal_removal,[],[f13194]) ).
fof(f13196,plain,
! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f13195,f7619]) ).
fof(f13197,plain,
! [X2,X0,X1] :
( ~ v2_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f13196,f9800]) ).
fof(f13198,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(k12_nattra_1(X0,X2))
| ~ l1_cat_1(k12_nattra_1(X0,X2)) ),
inference(resolution,[],[f13197,f9800]) ).
fof(f13199,plain,
! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(X0,X1))
| ~ l1_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(k12_nattra_1(X0,X2))
| ~ l1_cat_1(k12_nattra_1(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f13198,f7619]) ).
fof(f13200,plain,
! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(k12_nattra_1(X0,X2))
| ~ l1_cat_1(k12_nattra_1(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f13199,f9792]) ).
fof(f13201,plain,
! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(X0,X1))
| ~ v2_cat_1(k12_nattra_1(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f13200,f9792]) ).
fof(f13202,plain,
! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k12_nattra_1(X0,X2)) ),
inference(forward_subsumption_resolution,[],[f13201,f9793]) ).
fof(f13203,plain,
! [X2,X0,X1] :
( ~ l1_cat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)))
| r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f13202,f9793]) ).
fof(f13204,plain,
! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2)) ),
inference(resolution,[],[f13203,f9792]) ).
fof(f13205,plain,
! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X2))
| ~ l1_cat_1(k11_cat_2(X1,X2)) ),
inference(duplicate_literal_removal,[],[f13204]) ).
fof(f13206,plain,
! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0)
| ~ v2_cat_1(k11_cat_2(X1,X2)) ),
inference(forward_subsumption_resolution,[],[f13205,f7619]) ).
fof(f13207,plain,
! [X2,X0,X1] :
( r1_isocat_1(k12_nattra_1(X0,k11_cat_2(X1,X2)),k11_cat_2(k12_nattra_1(X0,X1),k12_nattra_1(X0,X2)))
| ~ v2_cat_1(X2)
| ~ l1_cat_1(X2)
| ~ v2_cat_1(X1)
| ~ l1_cat_1(X1)
| ~ v2_cat_1(X0)
| ~ l1_cat_1(X0) ),
inference(forward_subsumption_resolution,[],[f13206,f9800]) ).
fof(f13208,plain,
$false,
inference(unit_resulting_resolution,[],[f13207,f7496,f7497,f7498,f7499,f7500,f7501,f7502]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT032+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n003.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 21:25:13 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.88/2.60 % (2041605)Detected formulas, will run a generic FOF schedule.
% 7.88/2.60 % (2041616)dis-21_1_sil=8000:lcm=predicate:random_seed=3568259796:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 7.88/2.60 % (2041614)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1627619036:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 7.88/2.60 % (2041615)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=841050540:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 7.88/2.60 % (2041613)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4225859482:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 7.88/2.60 % (2041612)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=816815357:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 7.88/2.60 % (2041611)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=3778314596:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 7.88/2.60 % (2041610)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=2951198116:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 7.88/2.60 % (2041613)Refutation not found, incomplete strategy
% 7.88/2.60 % (2041613)------------------------------
% 7.88/2.60 % (2041613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041613)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041613)Termination reason: Refutation not found, incomplete strategy
% 7.88/2.60 % (2041613)Time elapsed: 0.019 s
% 7.88/2.60 % (2041613)Peak memory usage: 93 MB
% 7.88/2.60 % (2041613)Instructions burned: 23 (million)
% 7.88/2.60 % (2041616)Instruction limit reached!
% 7.88/2.60 % (2041616)------------------------------
% 7.88/2.60 % (2041616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041616)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041616)Termination reason: Instruction limit
% 7.88/2.60 % (2041616)Termination phase: Preprocessing 3
% 7.88/2.60 % (2041616)Time elapsed: 0.052 s
% 7.88/2.60 % (2041616)Peak memory usage: 95 MB
% 7.88/2.60 % (2041616)Instructions burned: 132 (million)
% 7.88/2.60 % (2041614)Instruction limit reached!
% 7.88/2.60 % (2041614)------------------------------
% 7.88/2.60 % (2041614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041614)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041614)Termination reason: Instruction limit
% 7.88/2.60 % (2041614)Termination phase: Saturation
% 7.88/2.60 % (2041614)Time elapsed: 0.078 s
% 7.88/2.60 % (2041614)Peak memory usage: 94 MB
% 7.88/2.60 % (2041614)Instructions burned: 120 (million)
% 7.88/2.60 % (2041615)Instruction limit reached!
% 7.88/2.60 % (2041615)------------------------------
% 7.88/2.60 % (2041615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041615)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041615)Termination reason: Instruction limit
% 7.88/2.60 % (2041615)Termination phase: Preprocessing 3
% 7.88/2.60 % (2041615)Time elapsed: 0.090 s
% 7.88/2.60 % (2041615)Peak memory usage: 94 MB
% 7.88/2.60 % (2041615)Instructions burned: 140 (million)
% 7.88/2.60 % (2041624)lrs+10_1_sil=8000:sp=occurrence:random_seed=2077170247:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 7.88/2.60 % (2041625)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1509019776:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 7.88/2.60 % (2041626)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2141354922:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.88/2.60 % (2041624)Instruction limit reached!
% 7.88/2.60 % (2041624)------------------------------
% 7.88/2.60 % (2041624)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041624)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041624)Termination reason: Instruction limit
% 7.88/2.60 % (2041624)Termination phase: Saturation
% 7.88/2.60 % (2041624)Time elapsed: 0.106 s
% 7.88/2.60 % (2041624)Peak memory usage: 97 MB
% 7.88/2.60 % (2041624)Instructions burned: 286 (million)
% 7.88/2.60 % (2041613)------------------------------
% 7.88/2.60 % (2041613)------------------------------
% 7.88/2.60 % (2041626)Refutation not found, incomplete strategy
% 7.88/2.60 % (2041626)------------------------------
% 7.88/2.60 % (2041626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041626)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041626)Termination reason: Refutation not found, incomplete strategy
% 7.88/2.60 % (2041626)Time elapsed: 0.019 s
% 7.88/2.60 % (2041626)Peak memory usage: 93 MB
% 7.88/2.60 % (2041626)Instructions burned: 22 (million)
% 7.88/2.60 % (2041625)Instruction limit reached!
% 7.88/2.60 % (2041625)------------------------------
% 7.88/2.60 % (2041625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041625)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041625)Termination reason: Instruction limit
% 7.88/2.60 % (2041625)Termination phase: Saturation
% 7.88/2.60 % (2041625)Time elapsed: 0.081 s
% 7.88/2.60 % (2041625)Peak memory usage: 95 MB
% 7.88/2.60 % (2041625)Instructions burned: 158 (million)
% 7.88/2.60 % (2041630)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2005926480:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 7.88/2.60 % (2041631)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1592212505:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 7.88/2.60 % (2041630)Instruction limit reached!
% 7.88/2.60 % (2041630)------------------------------
% 7.88/2.60 % (2041630)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041630)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041630)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041630)Termination reason: Instruction limit
% 7.88/2.60 % (2041630)Termination phase: Property scanning
% 7.88/2.60 % (2041630)Time elapsed: 0.084 s
% 7.88/2.60 % (2041630)Peak memory usage: 99 MB
% 7.88/2.60 % (2041630)Instructions burned: 253 (million)
% 7.88/2.60 % (2041632)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3598765642:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.88/2.60 % (2041626)------------------------------
% 7.88/2.60 % (2041626)------------------------------
% 7.88/2.60 % (2041631)Instruction limit reached!
% 7.88/2.60 % (2041631)------------------------------
% 7.88/2.60 % (2041631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041631)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041631)Termination reason: Instruction limit
% 7.88/2.60 % (2041631)Termination phase: Saturation
% 7.88/2.60 % (2041631)Time elapsed: 0.171 s
% 7.88/2.60 % (2041631)Peak memory usage: 96 MB
% 7.88/2.60 % (2041631)Instructions burned: 294 (million)
% 7.88/2.60 % (2041635)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1175134013:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 7.88/2.60 % (2041635)Instruction limit reached!
% 7.88/2.60 % (2041635)------------------------------
% 7.88/2.60 % (2041635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041635)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041635)Termination reason: Instruction limit
% 7.88/2.60 % (2041635)Termination phase: Property scanning
% 7.88/2.60 % (2041635)Time elapsed: 0.039 s
% 7.88/2.60 % (2041635)Peak memory usage: 93 MB
% 7.88/2.60 % (2041635)Instructions burned: 116 (million)
% 7.88/2.60 % (2041637)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1551933267:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 7.88/2.60 % (2041639)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1071379069:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 7.88/2.60 % (2041640)lrs+10_1_sil=8000:sp=occurrence:random_seed=2176330254:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.88/2.60 % (2041637)Instruction limit reached!
% 7.88/2.60 % (2041637)------------------------------
% 7.88/2.60 % (2041637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041637)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041637)Termination reason: Instruction limit
% 7.88/2.60 % (2041637)Termination phase: Preprocessing 3
% 7.88/2.60 % (2041637)Time elapsed: 0.088 s
% 7.88/2.60 % (2041637)Peak memory usage: 96 MB
% 7.88/2.60 % (2041637)Instructions burned: 128 (million)
% 7.88/2.60 % (2041639)Instruction limit reached!
% 7.88/2.60 % (2041639)------------------------------
% 7.88/2.60 % (2041639)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041639)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041639)Termination reason: Instruction limit
% 7.88/2.60 % (2041639)Termination phase: SInE selection
% 7.88/2.60 % (2041639)Time elapsed: 0.052 s
% 7.88/2.60 % (2041639)Peak memory usage: 89 MB
% 7.88/2.60 % (2041639)Instructions burned: 115 (million)
% 7.88/2.60 % (2041644)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1742649667:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 7.88/2.60 % (2041645)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=414827992:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 7.88/2.60 % (2041644)Refutation not found, incomplete strategy
% 7.88/2.60 % (2041644)------------------------------
% 7.88/2.60 % (2041644)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041644)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041644)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041644)Termination reason: Refutation not found, incomplete strategy
% 7.88/2.60 % (2041644)Time elapsed: 0.072 s
% 7.88/2.60 % (2041644)Peak memory usage: 96 MB
% 7.88/2.60 % (2041644)Instructions burned: 117 (million)
% 7.88/2.60 % (2041640)Instruction limit reached!
% 7.88/2.60 % (2041640)------------------------------
% 7.88/2.60 % (2041640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041640)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041640)Termination reason: Instruction limit
% 7.88/2.60 % (2041640)Termination phase: Saturation
% 7.88/2.60 % (2041640)Time elapsed: 0.481 s
% 7.88/2.60 % (2041640)Peak memory usage: 109 MB
% 7.88/2.60 % (2041640)Instructions burned: 908 (million)
% 7.88/2.60 % (2041644)------------------------------
% 7.88/2.60 % (2041644)------------------------------
% 7.88/2.60 % (2041611)First to succeed.
% 7.88/2.60 % (2041611)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2041605"
% 7.88/2.60 % (2041648)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4126140361:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 7.88/2.60 % (2041649)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1579366635:st=8:i=592:sd=3:ep=RST:ss=axioms_2983 on theBenchmark for (2983ds/592Mi)
% 7.88/2.60 % (2041648)Instruction limit reached!
% 7.88/2.60 % (2041648)------------------------------
% 7.88/2.60 % (2041648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.88/2.60 % (2041648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.88/2.60 % (2041648)CaDiCaL version: 2.1.3
% 7.88/2.60 % (2041648)Termination reason: Instruction limit
% 7.88/2.60 % (2041648)Termination phase: Saturation
% 7.88/2.60 % (2041648)Time elapsed: 0.083 s
% 7.88/2.60 % (2041648)Peak memory usage: 96 MB
% 7.88/2.60 % (2041648)Instructions burned: 135 (million)
% 7.88/2.60 % (2041611)Refutation found. Thanks to Tanya!
% 7.88/2.60 % SZS status Theorem for theBenchmark
% 7.88/2.60 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/2.70 % (2041611)------------------------------
% 0.20/2.70 % (2041611)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/2.70 % (2041611)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/2.70 % (2041611)CaDiCaL version: 2.1.3
% 0.20/2.70 % (2041611)Termination reason: Refutation
% 0.20/2.70 % (2041611)Time elapsed: 1.388 s
% 0.20/2.70 % (2041611)Peak memory usage: 190 MB
% 0.20/2.70 % (2041611)Instructions burned: 2990 (million)
% 0.20/2.70 % (2041611)------------------------------
% 0.20/2.70 % (2041611)------------------------------
% 0.20/2.70 % (2041605)Success in time 1.927 s
% 0.20/2.70 % Vampire exiting
%------------------------------------------------------------------------------