%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU197+2 : TPTP v9.3.1. Released v3.3.0.
% 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 12:47:41 PM UTC 2026
% Result : Theorem 4.21s 1.52s
% Output : Refutation 5.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 7
% Syntax : Number of formulae : 72 ( 7 unt; 3 def)
% Number of atoms : 288 ( 23 equ)
% Maximal formula atoms : 16 ( 4 avg)
% Number of connectives : 356 ( 140 ~; 152 |; 44 &)
% ( 13 <=>; 6 =>; 0 <=; 1 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 131 ( 0 sgn 108 !; 23 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0,X1] :
( relation(X1)
=> ! [X2] :
( relation(X2)
=> ( X2 = relation_rng_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_1) ).
fof(f28,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_relat_1) ).
fof(f61,axiom,
! [X0,X1] :
( relation(X1)
=> relation(relation_rng_restriction(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_relat_1) ).
fof(f112,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t115_relat_1) ).
fof(f113,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<=> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f112]) ).
fof(f192,plain,
? [X0,X1,X2] :
( ( in(X0,relation_rng(relation_rng_restriction(X1,X2)))
<~> ( in(X0,X1)
& in(X0,relation_rng(X2)) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f113]) ).
fof(f195,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f196,plain,
! [X0,X1] :
( ! [X2] :
( ( X2 = relation_rng_restriction(X0,X1)
<=> ! [X3,X4] :
( in(ordered_pair(X3,X4),X2)
<=> ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) ) ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f208,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X1)
| ~ in(X0,relation_rng(X2))
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& relation(X2) ),
inference(nnf_transformation,[],[f192]) ).
fof(f209,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X1)
| ~ in(X0,relation_rng(X2))
| ~ in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& ( ( in(X0,X1)
& in(X0,relation_rng(X2)) )
| in(X0,relation_rng(relation_rng_restriction(X1,X2))) )
& relation(X2) ),
inference(flattening,[],[f208]) ).
fof(f210,plain,
( ( ~ in(sK0,sK1)
| ~ in(sK0,relation_rng(sK2))
| ~ in(sK0,relation_rng(relation_rng_restriction(sK1,sK2))) )
& ( ( in(sK0,sK1)
& in(sK0,relation_rng(sK2)) )
| in(sK0,relation_rng(relation_rng_restriction(sK1,sK2))) )
& relation(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f209]) ).
fof(f213,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(nnf_transformation,[],[f196]) ).
fof(f214,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X3,X4] :
( ( in(ordered_pair(X3,X4),X2)
| ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| ~ in(ordered_pair(X3,X4),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(flattening,[],[f213]) ).
fof(f215,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ? [X3,X4] :
( ( ~ in(X4,X0)
| ~ in(ordered_pair(X3,X4),X1)
| ~ in(ordered_pair(X3,X4),X2) )
& ( ( in(X4,X0)
& in(ordered_pair(X3,X4),X1) )
| in(ordered_pair(X3,X4),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1) )
& ( ( in(X6,X0)
& in(ordered_pair(X5,X6),X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(rectify,[],[f214]) ).
fof(f216,plain,
! [X0,X1] :
( ! [X2] :
( ( ( X2 = relation_rng_restriction(X0,X1)
| ( ( ~ in(sK5(X0,X1,X2),X0)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X1)
| ~ in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) )
& ( ( in(sK5(X0,X1,X2),X0)
& in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X1) )
| in(ordered_pair(sK4(X0,X1,X2),sK5(X0,X1,X2)),X2) ) ) )
& ( ! [X5,X6] :
( ( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1) )
& ( ( in(X6,X0)
& in(ordered_pair(X5,X6),X1) )
| ~ in(ordered_pair(X5,X6),X2) ) )
| relation_rng_restriction(X0,X1) != X2 ) )
| ~ relation(X2) )
| ~ relation(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X3,sK4(X0,X1,X2)),skolemize(X4,sK5(X0,X1,X2))],[f215]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X3,X2),X0) )
& ( ? [X3] : in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f207]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X3,X2),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X4,X2),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( ? [X7] : in(ordered_pair(X7,X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f218]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK6(X0,X1)),X0)
| ~ in(sK6(X0,X1),X1) )
& ( in(ordered_pair(sK7(X0,X1),sK6(X0,X1)),X0)
| in(sK6(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK8(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7,sK8]),skolemize(X2,sK6(X0,X1)),skolemize(X4,sK7(X0,X1)),skolemize(X7,sK8(X0,X5))],[f219]) ).
fof(f221,plain,
relation(sK2),
inference(cnf_transformation,[],[f210]) ).
fof(f222,plain,
( in(sK0,relation_rng(sK2))
| in(sK0,relation_rng(relation_rng_restriction(sK1,sK2))) ),
inference(cnf_transformation,[],[f210]) ).
fof(f223,plain,
( in(sK0,sK1)
| in(sK0,relation_rng(relation_rng_restriction(sK1,sK2))) ),
inference(cnf_transformation,[],[f210]) ).
fof(f224,plain,
( ~ in(sK0,sK1)
| ~ in(sK0,relation_rng(sK2))
| ~ in(sK0,relation_rng(relation_rng_restriction(sK1,sK2))) ),
inference(cnf_transformation,[],[f210]) ).
fof(f228,plain,
! [X0,X1] :
( relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(cnf_transformation,[],[f195]) ).
fof(f229,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X1)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f230,plain,
! [X2,X0,X1,X6,X5] :
( in(X6,X0)
| ~ in(ordered_pair(X5,X6),X2)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f231,plain,
! [X2,X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),X2)
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1)
| relation_rng_restriction(X0,X1) != X2
| ~ relation(X2)
| ~ relation(X1) ),
inference(cnf_transformation,[],[f216]) ).
fof(f248,plain,
! [X0,X1,X5] :
( in(ordered_pair(sK8(X0,X5),X5),X0)
| ~ in(X5,X1)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f249,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f252,plain,
! [X0,X1,X6,X5] :
( in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| ~ in(X6,X0)
| ~ in(ordered_pair(X5,X6),X1)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f231]) ).
fof(f253,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| in(X6,X0)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f230]) ).
fof(f254,plain,
! [X0,X1,X6,X5] :
( ~ in(ordered_pair(X5,X6),relation_rng_restriction(X0,X1))
| in(ordered_pair(X5,X6),X1)
| ~ relation(relation_rng_restriction(X0,X1))
| ~ relation(X1) ),
inference(equality_resolution,[],[f229]) ).
fof(f255,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f249]) ).
fof(f256,plain,
! [X0,X5] :
( in(ordered_pair(sK8(X0,X5),X5),X0)
| ~ in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f248]) ).
fof(f258,definition,
( spl9_1
<=> in(sK0,relation_rng(relation_rng_restriction(sK1,sK2))) ),
introduced(definition,[new_symbols(definition,[spl9_1])],[avatar_definition]) ).
fof(f259,plain,
( ~ in(sK0,relation_rng(relation_rng_restriction(sK1,sK2)))
| spl9_1 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f260,plain,
( in(sK0,relation_rng(relation_rng_restriction(sK1,sK2)))
| ~ spl9_1 ),
inference(avatar_component_clause,[],[f258]) ).
fof(f262,definition,
( spl9_2
<=> in(sK0,relation_rng(sK2)) ),
introduced(definition,[new_symbols(definition,[spl9_2])],[avatar_definition]) ).
fof(f263,plain,
( ~ in(sK0,relation_rng(sK2))
| spl9_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f264,plain,
( in(sK0,relation_rng(sK2))
| ~ spl9_2 ),
inference(avatar_component_clause,[],[f262]) ).
fof(f265,plain,
( spl9_1
| spl9_2 ),
inference(avatar_split_clause,[],[f222,f262,f258]) ).
fof(f267,definition,
( spl9_3
<=> in(sK0,sK1) ),
introduced(definition,[new_symbols(definition,[spl9_3])],[avatar_definition]) ).
fof(f268,plain,
( ~ in(sK0,sK1)
| spl9_3 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f269,plain,
( in(sK0,sK1)
| ~ spl9_3 ),
inference(avatar_component_clause,[],[f267]) ).
fof(f270,plain,
( spl9_1
| spl9_3 ),
inference(avatar_split_clause,[],[f223,f267,f258]) ).
fof(f271,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(avatar_split_clause,[],[f224,f267,f262,f258]) ).
fof(f287,plain,
! [X0] : relation(relation_rng_restriction(X0,sK2)),
inference(unit_resulting_resolution,[],[f228,f221]) ).
fof(f299,plain,
( ! [X0] : ~ in(ordered_pair(X0,sK0),relation_rng_restriction(sK1,sK2))
| spl9_1 ),
inference(unit_resulting_resolution,[],[f255,f287,f259]) ).
fof(f316,plain,
( in(ordered_pair(sK8(sK2,sK0),sK0),sK2)
| ~ spl9_2 ),
inference(unit_resulting_resolution,[],[f256,f221,f264]) ).
fof(f395,plain,
( ~ relation(sK2)
| spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(unit_resulting_resolution,[],[f252,f269,f287,f316,f299]) ).
fof(f404,plain,
( $false
| spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(forward_subsumption_resolution,[],[f395,f221]) ).
fof(f405,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(avatar_contradiction_clause,[],[f404]) ).
fof(f406,plain,
( ! [X0] : ~ in(ordered_pair(X0,sK0),relation_rng_restriction(sK1,sK2))
| spl9_3 ),
inference(unit_resulting_resolution,[],[f253,f221,f287,f268]) ).
fof(f415,plain,
( in(ordered_pair(sK8(relation_rng_restriction(sK1,sK2),sK0),sK0),relation_rng_restriction(sK1,sK2))
| ~ spl9_1 ),
inference(unit_resulting_resolution,[],[f256,f287,f260]) ).
fof(f419,plain,
( $false
| ~ spl9_1
| spl9_3 ),
inference(forward_subsumption_resolution,[],[f415,f406]) ).
fof(f420,plain,
( ~ spl9_1
| spl9_3 ),
inference(avatar_contradiction_clause,[],[f419]) ).
fof(f423,plain,
( ! [X0] : ~ in(ordered_pair(X0,sK0),sK2)
| spl9_2 ),
inference(unit_resulting_resolution,[],[f255,f221,f263]) ).
fof(f443,plain,
( ! [X0,X1] : ~ in(ordered_pair(X0,sK0),relation_rng_restriction(X1,sK2))
| spl9_2 ),
inference(unit_resulting_resolution,[],[f254,f221,f287,f423]) ).
fof(f488,plain,
( ~ relation(relation_rng_restriction(sK1,sK2))
| ~ spl9_1
| spl9_2 ),
inference(unit_resulting_resolution,[],[f256,f260,f443]) ).
fof(f501,plain,
( $false
| ~ spl9_1
| spl9_2 ),
inference(forward_subsumption_resolution,[],[f488,f287]) ).
fof(f502,plain,
( ~ spl9_1
| spl9_2 ),
inference(avatar_contradiction_clause,[],[f501]) ).
cnf(s1,plain,
( spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f265]) ).
cnf(s2,plain,
( spl9_1
| spl9_3 ),
inference(sat_conversion,[],[f270]) ).
cnf(s3,plain,
( ~ spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(sat_conversion,[],[f271]) ).
cnf(s11,plain,
( spl9_1
| ~ spl9_2
| ~ spl9_3 ),
inference(sat_conversion,[],[f405]) ).
cnf(s12,plain,
( ~ spl9_1
| spl9_3 ),
inference(sat_conversion,[],[f420]) ).
cnf(s14,plain,
( ~ spl9_1
| spl9_2 ),
inference(sat_conversion,[],[f502]) ).
cnf(s15,plain,
spl9_1,
inference(rat,[],[s11,s1,s2]) ).
cnf(s16,plain,
spl9_2,
inference(rat,[],[s14,s15]) ).
cnf(s17,plain,
spl9_3,
inference(rat,[],[s12,s15]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s3,s16,s17,s15]) ).
fof(f503,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU197+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n003.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 04:01:42 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 4.21/1.52 % (1175923)Detected formulas, will run a generic FOF schedule.
% 4.21/1.52 % (1175931)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3653232620:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.21/1.52 % (1175931)Instruction limit reached!
% 4.21/1.52 % (1175931)------------------------------
% 4.21/1.52 % (1175931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.52 % (1175931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.52 % (1175931)CaDiCaL version: 2.1.3
% 4.21/1.52 % (1175931)Termination reason: Instruction limit
% 4.21/1.52 % (1175931)Termination phase: Saturation
% 4.21/1.52 % (1175931)Time elapsed: 0.041 s
% 4.21/1.52 % (1175931)Peak memory usage: 90 MB
% 4.21/1.52 % (1175931)Instructions burned: 111 (million)
% 4.21/1.52 % (1175928)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=657181927:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.21/1.52 % (1175930)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=1024714886:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.21/1.52 % (1175932)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3071346091:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.21/1.52 % (1175934)dis-21_1_sil=8000:lcm=predicate:random_seed=2985517133: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)
% 4.21/1.52 % (1175929)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=532184907:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.21/1.52 % (1175933)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2128896591:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.21/1.52 % (1175934)Instruction limit reached!
% 4.21/1.52 % (1175934)------------------------------
% 4.21/1.52 % (1175934)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.52 % (1175934)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.52 % (1175934)CaDiCaL version: 2.1.3
% 4.21/1.52 % (1175934)Termination reason: Instruction limit
% 4.21/1.52 % (1175934)Termination phase: Saturation
% 4.21/1.52 % (1175934)Time elapsed: 0.075 s
% 4.21/1.52 % (1175934)Peak memory usage: 91 MB
% 4.21/1.52 % (1175934)Instructions burned: 130 (million)
% 4.21/1.52 % (1175932)Instruction limit reached!
% 4.21/1.52 % (1175932)------------------------------
% 4.21/1.52 % (1175932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.52 % (1175932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.52 % (1175932)CaDiCaL version: 2.1.3
% 4.21/1.52 % (1175932)Termination reason: Instruction limit
% 4.21/1.52 % (1175932)Termination phase: Saturation
% 4.21/1.52 % (1175932)Time elapsed: 0.077 s
% 4.21/1.52 % (1175932)Peak memory usage: 89 MB
% 4.21/1.52 % (1175932)Instructions burned: 120 (million)
% 4.21/1.52 % (1175933)Instruction limit reached!
% 4.21/1.52 % (1175933)------------------------------
% 4.21/1.52 % (1175933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.52 % (1175933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.52 % (1175933)CaDiCaL version: 2.1.3
% 4.21/1.52 % (1175933)Termination reason: Instruction limit
% 4.21/1.52 % (1175933)Termination phase: Saturation
% 4.21/1.52 % (1175933)Time elapsed: 0.096 s
% 4.21/1.52 % (1175933)Peak memory usage: 90 MB
% 4.21/1.52 % (1175933)Instructions burned: 140 (million)
% 4.21/1.52 % (1175942)lrs+10_1_sil=8000:sp=occurrence:random_seed=2660711608:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.21/1.52 % (1175944)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4124376548:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.21/1.52 % (1175943)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1469661829:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.21/1.52 % (1175942)Instruction limit reached!
% 4.21/1.52 % (1175942)------------------------------
% 4.21/1.52 % (1175942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.52 % (1175942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.52 % (1175942)CaDiCaL version: 2.1.3
% 4.21/1.52 % (1175942)Termination reason: Instruction limit
% 4.21/1.52 % (1175942)Termination phase: Saturation
% 4.21/1.52 % (1175942)Time elapsed: 0.100 s
% 4.21/1.52 % (1175942)Peak memory usage: 92 MB
% 4.21/1.52 % (1175942)Instructions burned: 285 (million)
% 4.21/1.52 % (1175943)First to succeed.
% 4.21/1.52 % (1175943)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1175923"
% 4.21/1.52 % (1175945)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=2631004426:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.21/1.52 % (1175945)Also succeeded, but the first one will report.
% 4.21/1.52 % (1175949)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3336133137:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.21/1.52 % (1175944)Instruction limit reached!
% 4.21/1.52 % (1175944)------------------------------
% 4.21/1.52 % (1175944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.52 % (1175944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.52 % (1175944)CaDiCaL version: 2.1.3
% 4.21/1.52 % (1175944)Termination reason: Instruction limit
% 4.21/1.52 % (1175944)Termination phase: Saturation
% 4.21/1.52 % (1175944)Time elapsed: 0.225 s
% 4.21/1.52 % (1175944)Peak memory usage: 93 MB
% 4.21/1.52 % (1175944)Instructions burned: 326 (million)
% 4.21/1.52 % (1175949)Instruction limit reached!
% 4.21/1.52 % (1175949)------------------------------
% 4.21/1.52 % (1175949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.21/1.52 % (1175949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.21/1.52 % (1175949)CaDiCaL version: 2.1.3
% 4.21/1.52 % (1175949)Termination reason: Instruction limit
% 4.21/1.52 % (1175949)Termination phase: Saturation
% 4.21/1.52 % (1175949)Time elapsed: 0.097 s
% 4.21/1.52 % (1175949)Peak memory usage: 90 MB
% 4.21/1.52 % (1175949)Instructions burned: 296 (million)
% 4.21/1.52 % (1175943)Refutation found. Thanks to Tanya!
% 4.21/1.52 % SZS status Theorem for theBenchmark
% 4.21/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 5.27/1.62 % (1175943)------------------------------
% 5.27/1.62 % (1175943)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.27/1.62 % (1175943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.27/1.62 % (1175943)CaDiCaL version: 2.1.3
% 5.27/1.62 % (1175943)Termination reason: Refutation
% 5.27/1.62 % (1175943)Time elapsed: 0.015 s
% 5.27/1.62 % (1175943)Peak memory usage: 90 MB
% 5.27/1.62 % (1175943)Instructions burned: 21 (million)
% 5.27/1.62 % (1175943)------------------------------
% 5.27/1.62 % (1175943)------------------------------
% 5.27/1.62 % (1175923)Success in time 0.675 s
% 5.27/1.62 % Vampire exiting
%------------------------------------------------------------------------------