%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU245+2 : TPTP v9.3.1. Released 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 12:47:59 PM UTC 2026
% Result : Theorem 5.94s 1.81s
% Output : Refutation 5.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 10 unt; 3 def)
% Number of atoms : 203 ( 15 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 229 ( 84 ~; 91 |; 40 &)
% ( 9 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 78 ( 0 sgn 64 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f41,axiom,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X0)
=> in(X2,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_tarski) ).
fof(f43,axiom,
! [X0,X1,X2] :
( X2 = set_intersection2(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ( in(X3,X0)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_xboole_0) ).
fof(f60,axiom,
! [X0] :
( relation(X0)
=> ! [X1] : relation_restriction(X0,X1) = set_intersection2(X0,cartesian_product2(X1,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d6_wellord1) ).
fof(f201,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_wellord1) ).
fof(f202,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f201]) ).
fof(f205,axiom,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_xboole_1) ).
fof(f350,plain,
! [X0,X1] :
( subset(X0,X1)
<=> ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f365,plain,
! [X0] :
( ! [X1] : relation_restriction(X0,X1) = set_intersection2(X0,cartesian_product2(X1,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f478,plain,
? [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<~> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f202]) ).
fof(f676,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X2] :
( in(X2,X1)
| ~ in(X2,X0) )
| ~ subset(X0,X1) ) ),
inference(nnf_transformation,[],[f350]) ).
fof(f677,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ? [X2] :
( ~ in(X2,X1)
& in(X2,X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(rectify,[],[f676]) ).
fof(f678,plain,
! [X0,X1] :
( ( subset(X0,X1)
| ( ~ in(sK44(X0,X1),X1)
& in(sK44(X0,X1),X0) ) )
& ( ! [X3] :
( in(X3,X1)
| ~ in(X3,X0) )
| ~ subset(X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK44]),skolemize(X2,sK44(X0,X1))],[f677]) ).
fof(f682,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(nnf_transformation,[],[f43]) ).
fof(f683,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ~ in(X3,X0)
| ~ in(X3,X1) )
& ( ( in(X3,X0)
& in(X3,X1) )
| ~ in(X3,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(flattening,[],[f682]) ).
fof(f684,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ? [X3] :
( ( ~ in(X3,X0)
| ~ in(X3,X1)
| ~ in(X3,X2) )
& ( ( in(X3,X0)
& in(X3,X1) )
| in(X3,X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(rectify,[],[f683]) ).
fof(f685,plain,
! [X0,X1,X2] :
( ( X2 = set_intersection2(X0,X1)
| ( ( ~ in(sK47(X0,X1,X2),X0)
| ~ in(sK47(X0,X1,X2),X1)
| ~ in(sK47(X0,X1,X2),X2) )
& ( ( in(sK47(X0,X1,X2),X0)
& in(sK47(X0,X1,X2),X1) )
| in(sK47(X0,X1,X2),X2) ) ) )
& ( ! [X4] :
( ( in(X4,X2)
| ~ in(X4,X0)
| ~ in(X4,X1) )
& ( ( in(X4,X0)
& in(X4,X1) )
| ~ in(X4,X2) ) )
| set_intersection2(X0,X1) != X2 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47]),skolemize(X3,sK47(X0,X1,X2))],[f684]) ).
fof(f782,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,relation_restriction(X2,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| in(X0,relation_restriction(X2,X1)) )
& relation(X2) ),
inference(nnf_transformation,[],[f478]) ).
fof(f783,plain,
? [X0,X1,X2] :
( ( ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,relation_restriction(X2,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| in(X0,relation_restriction(X2,X1)) )
& relation(X2) ),
inference(flattening,[],[f782]) ).
fof(f784,plain,
( ( ~ in(sK104,sK106)
| ~ in(sK104,cartesian_product2(sK105,sK105))
| ~ in(sK104,relation_restriction(sK106,sK105)) )
& ( ( in(sK104,sK106)
& in(sK104,cartesian_product2(sK105,sK105)) )
| in(sK104,relation_restriction(sK106,sK105)) )
& relation(sK106) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104,sK105,sK106]),skolemize(X0,sK104),skolemize(X1,sK105),skolemize(X2,sK106)],[f783]) ).
fof(f983,plain,
! [X3,X0,X1] :
( ~ subset(X0,X1)
| ~ in(X3,X0)
| in(X3,X1) ),
inference(cnf_transformation,[],[f678]) ).
fof(f991,plain,
! [X2,X0,X1,X4] :
( set_intersection2(X0,X1) != X2
| ~ in(X4,X2)
| in(X4,X1) ),
inference(cnf_transformation,[],[f685]) ).
fof(f993,plain,
! [X2,X0,X1,X4] :
( set_intersection2(X0,X1) != X2
| ~ in(X4,X0)
| ~ in(X4,X1)
| in(X4,X2) ),
inference(cnf_transformation,[],[f685]) ).
fof(f1060,plain,
! [X0,X1] :
( ~ relation(X0)
| relation_restriction(X0,X1) = set_intersection2(X0,cartesian_product2(X1,X1)) ),
inference(cnf_transformation,[],[f365]) ).
fof(f1289,plain,
relation(sK106),
inference(cnf_transformation,[],[f784]) ).
fof(f1290,plain,
( in(sK104,cartesian_product2(sK105,sK105))
| in(sK104,relation_restriction(sK106,sK105)) ),
inference(cnf_transformation,[],[f784]) ).
fof(f1291,plain,
( in(sK104,sK106)
| in(sK104,relation_restriction(sK106,sK105)) ),
inference(cnf_transformation,[],[f784]) ).
fof(f1292,plain,
( ~ in(sK104,sK106)
| ~ in(sK104,cartesian_product2(sK105,sK105))
| ~ in(sK104,relation_restriction(sK106,sK105)) ),
inference(cnf_transformation,[],[f784]) ).
fof(f1295,plain,
! [X0,X1] : subset(set_intersection2(X0,X1),X0),
inference(cnf_transformation,[],[f205]) ).
fof(f1460,definition,
( spl123_1
<=> in(sK104,relation_restriction(sK106,sK105)) ),
introduced(definition,[new_symbols(definition,[spl123_1])],[avatar_definition]) ).
fof(f1461,plain,
( ~ in(sK104,relation_restriction(sK106,sK105))
| spl123_1 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1462,plain,
( in(sK104,relation_restriction(sK106,sK105))
| ~ spl123_1 ),
inference(avatar_component_clause,[],[f1460]) ).
fof(f1464,definition,
( spl123_2
<=> in(sK104,cartesian_product2(sK105,sK105)) ),
introduced(definition,[new_symbols(definition,[spl123_2])],[avatar_definition]) ).
fof(f1466,plain,
( in(sK104,cartesian_product2(sK105,sK105))
| ~ spl123_2 ),
inference(avatar_component_clause,[],[f1464]) ).
fof(f1467,plain,
( spl123_1
| spl123_2 ),
inference(avatar_split_clause,[],[f1290,f1464,f1460]) ).
fof(f1469,definition,
( spl123_3
<=> in(sK104,sK106) ),
introduced(definition,[new_symbols(definition,[spl123_3])],[avatar_definition]) ).
fof(f1471,plain,
( in(sK104,sK106)
| ~ spl123_3 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f1472,plain,
( spl123_1
| spl123_3 ),
inference(avatar_split_clause,[],[f1291,f1469,f1460]) ).
fof(f1473,plain,
( ~ spl123_1
| ~ spl123_2
| ~ spl123_3 ),
inference(avatar_split_clause,[],[f1292,f1469,f1464,f1460]) ).
fof(f1507,plain,
! [X0] : relation_restriction(sK106,X0) = set_intersection2(sK106,cartesian_product2(X0,X0)),
inference(unit_resulting_resolution,[],[f1060,f1289]) ).
fof(f1815,plain,
! [X0] : subset(relation_restriction(sK106,X0),sK106),
inference(superposition,[],[f1295,f1507]) ).
fof(f3173,plain,
( ~ in(sK104,sK106)
| spl123_1
| ~ spl123_2 ),
inference(unit_resulting_resolution,[],[f993,f1461,f1466,f1507]) ).
fof(f3241,plain,
( $false
| spl123_1
| ~ spl123_2
| ~ spl123_3 ),
inference(forward_subsumption_resolution,[],[f3173,f1471]) ).
fof(f3242,plain,
( spl123_1
| ~ spl123_2
| ~ spl123_3 ),
inference(avatar_contradiction_clause,[],[f3241]) ).
fof(f3277,plain,
( in(sK104,sK106)
| ~ spl123_1 ),
inference(unit_resulting_resolution,[],[f983,f1815,f1462]) ).
fof(f3283,plain,
( in(sK104,cartesian_product2(sK105,sK105))
| ~ spl123_1 ),
inference(unit_resulting_resolution,[],[f991,f1507,f1462]) ).
fof(f3335,plain,
( spl123_3
| ~ spl123_1 ),
inference(avatar_split_clause,[],[f3277,f1460,f1469]) ).
fof(f3336,plain,
( spl123_2
| ~ spl123_1 ),
inference(avatar_split_clause,[],[f3283,f1460,f1464]) ).
cnf(s1,plain,
( spl123_1
| spl123_2 ),
inference(sat_conversion,[],[f1467]) ).
cnf(s2,plain,
( spl123_1
| spl123_3 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s3,plain,
( ~ spl123_1
| ~ spl123_2
| ~ spl123_3 ),
inference(sat_conversion,[],[f1473]) ).
cnf(s9,plain,
( spl123_1
| ~ spl123_2
| ~ spl123_3 ),
inference(sat_conversion,[],[f3242]) ).
cnf(s15,plain,
( ~ spl123_1
| spl123_3 ),
inference(sat_conversion,[],[f3335]) ).
cnf(s17,plain,
( ~ spl123_1
| spl123_2 ),
inference(sat_conversion,[],[f3336]) ).
cnf(s18,plain,
spl123_1,
inference(rat,[],[s9,s1,s2]) ).
cnf(s19,plain,
spl123_2,
inference(rat,[],[s17,s18]) ).
cnf(s20,plain,
spl123_3,
inference(rat,[],[s15,s18]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s3,s19,s20,s18]) ).
fof(f3337,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU245+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n016.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 04:22:18 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 4.73/1.62 % (3254349)Detected formulas, will run a generic FOF schedule.
% 4.73/1.62 % (3254358)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2168216:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.73/1.62 % (3254357)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=4286514644:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.73/1.62 % (3254354)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=1827745971:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.73/1.62 % (3254355)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=980646822:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.73/1.62 % (3254356)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=2607394121:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.73/1.62 % (3254358)Instruction limit reached!
% 4.73/1.62 % (3254358)------------------------------
% 4.73/1.62 % (3254358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.62 % (3254358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.62 % (3254358)CaDiCaL version: 2.1.3
% 4.73/1.62 % (3254358)Termination reason: Instruction limit
% 4.73/1.62 % (3254358)Termination phase: Saturation
% 4.73/1.62 % (3254358)Time elapsed: 0.044 s
% 4.73/1.62 % (3254358)Peak memory usage: 90 MB
% 4.73/1.62 % (3254358)Instructions burned: 120 (million)
% 4.73/1.62 % (3254360)dis-21_1_sil=8000:lcm=predicate:random_seed=3148982542: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)
% 4.73/1.62 % (3254359)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=74070939:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.73/1.62 % (3254357)Instruction limit reached!
% 4.73/1.62 % (3254357)------------------------------
% 4.73/1.62 % (3254357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.62 % (3254357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.62 % (3254357)CaDiCaL version: 2.1.3
% 4.73/1.62 % (3254357)Termination reason: Instruction limit
% 4.73/1.62 % (3254357)Termination phase: Saturation
% 4.73/1.62 % (3254357)Time elapsed: 0.070 s
% 4.73/1.62 % (3254357)Peak memory usage: 90 MB
% 4.73/1.62 % (3254357)Instructions burned: 109 (million)
% 4.73/1.62 % (3254360)Instruction limit reached!
% 4.73/1.62 % (3254360)------------------------------
% 4.73/1.62 % (3254360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.62 % (3254360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.62 % (3254360)CaDiCaL version: 2.1.3
% 4.73/1.62 % (3254360)Termination reason: Instruction limit
% 4.73/1.62 % (3254360)Termination phase: Saturation
% 4.73/1.62 % (3254360)Time elapsed: 0.077 s
% 4.73/1.62 % (3254360)Peak memory usage: 90 MB
% 4.73/1.62 % (3254360)Instructions burned: 129 (million)
% 4.73/1.62 % (3254359)Instruction limit reached!
% 4.73/1.62 % (3254359)------------------------------
% 4.73/1.62 % (3254359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.62 % (3254359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.62 % (3254359)CaDiCaL version: 2.1.3
% 4.73/1.62 % (3254359)Termination reason: Instruction limit
% 4.73/1.62 % (3254359)Termination phase: Saturation
% 4.73/1.62 % (3254359)Time elapsed: 0.098 s
% 4.73/1.62 % (3254359)Peak memory usage: 90 MB
% 4.73/1.62 % (3254359)Instructions burned: 139 (million)
% 4.73/1.62 % (3254366)lrs+10_1_sil=8000:sp=occurrence:random_seed=701663051:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.73/1.62 % (3254366)Instruction limit reached!
% 4.73/1.62 % (3254366)------------------------------
% 4.73/1.62 % (3254366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.73/1.62 % (3254366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.73/1.62 % (3254366)CaDiCaL version: 2.1.3
% 4.73/1.62 % (3254366)Termination reason: Instruction limit
% 4.73/1.62 % (3254366)Termination phase: Saturation
% 4.73/1.62 % (3254366)Time elapsed: 0.107 s
% 4.73/1.62 % (3254366)Peak memory usage: 94 MB
% 4.73/1.62 % (3254366)Instructions burned: 287 (million)
% 5.94/1.81 % (3254370)lrs+1011_1_sil=32000:sp=occurrence:random_seed=789970682:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 5.94/1.81 % (3254369)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2809414960:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 5.94/1.81 % (3254371)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=2360098709:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 5.94/1.81 % (3254369)Instruction limit reached!
% 5.94/1.81 % (3254369)------------------------------
% 5.94/1.81 % (3254369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.81 % (3254369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.81 % (3254369)CaDiCaL version: 2.1.3
% 5.94/1.81 % (3254369)Termination reason: Instruction limit
% 5.94/1.81 % (3254369)Termination phase: Saturation
% 5.94/1.81 % (3254369)Time elapsed: 0.083 s
% 5.94/1.81 % (3254369)Peak memory usage: 91 MB
% 5.94/1.81 % (3254369)Instructions burned: 158 (million)
% 5.94/1.81 % (3254371)First to succeed.
% 5.94/1.81 % (3254371)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3254349"
% 5.94/1.81 % (3254375)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1133846616:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.94/1.81 % (3254375)Instruction limit reached!
% 5.94/1.81 % (3254375)------------------------------
% 5.94/1.81 % (3254375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.81 % (3254375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.81 % (3254375)CaDiCaL version: 2.1.3
% 5.94/1.81 % (3254375)Termination reason: Instruction limit
% 5.94/1.81 % (3254375)Termination phase: Saturation
% 5.94/1.81 % (3254375)Time elapsed: 0.102 s
% 5.94/1.81 % (3254375)Peak memory usage: 91 MB
% 5.94/1.81 % (3254375)Instructions burned: 295 (million)
% 5.94/1.81 % (3254370)Instruction limit reached!
% 5.94/1.81 % (3254370)------------------------------
% 5.94/1.81 % (3254370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.81 % (3254370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.81 % (3254370)CaDiCaL version: 2.1.3
% 5.94/1.81 % (3254370)Termination reason: Instruction limit
% 5.94/1.81 % (3254370)Termination phase: Saturation
% 5.94/1.81 % (3254370)Time elapsed: 0.225 s
% 5.94/1.81 % (3254370)Peak memory usage: 92 MB
% 5.94/1.81 % (3254370)Instructions burned: 325 (million)
% 5.94/1.81 % (3254377)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3265325934:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.94/1.81 % (3254371)Refutation found. Thanks to Tanya!
% 5.94/1.81 % SZS status Theorem for theBenchmark
% 5.94/1.81 % SZS output start Proof for theBenchmark
% See solution above
% 5.94/1.81 % (3254371)------------------------------
% 5.94/1.81 % (3254371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.94/1.81 % (3254371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.94/1.81 % (3254371)CaDiCaL version: 2.1.3
% 5.94/1.81 % (3254371)Termination reason: Refutation
% 5.94/1.81 % (3254371)Time elapsed: 0.047 s
% 5.94/1.81 % (3254371)Peak memory usage: 91 MB
% 5.94/1.81 % (3254371)Instructions burned: 72 (million)
% 5.94/1.81 % (3254371)------------------------------
% 5.94/1.81 % (3254371)------------------------------
% 5.94/1.81 % (3254349)Success in time 0.757 s
% 5.94/1.81 % Vampire exiting
%------------------------------------------------------------------------------