%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU203+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 : n014.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 12:47:43 PM UTC 2026
% Result : Theorem 4.44s 1.52s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 59 ( 5 unt; 4 def)
% Number of atoms : 254 ( 20 equ)
% Maximal formula atoms : 15 ( 4 avg)
% Number of connectives : 317 ( 122 ~; 127 |; 49 &)
% ( 14 <=>; 4 =>; 0 <=; 1 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 124 ( 0 sgn 90 !; 34 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d13_relat_1) ).
fof(f25,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_1) ).
fof(f124,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t143_relat_1) ).
fof(f125,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f124]) ).
fof(f200,plain,
? [X0,X1,X2] :
( ( in(X0,relation_image(X2,X1))
<~> ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f125]) ).
fof(f209,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( X1 = relation_dom(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X2,X3),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f221,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X2))
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,X1) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(nnf_transformation,[],[f200]) ).
fof(f222,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X2))
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,X1) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X3] :
( in(X3,relation_dom(X2))
& in(ordered_pair(X3,X0),X2)
& in(X3,X1) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,relation_dom(X2))
| ~ in(ordered_pair(X3,X0),X2)
| ~ in(X3,X1) )
| ~ in(X0,relation_image(X2,X1)) )
& ( ? [X4] :
( in(X4,relation_dom(X2))
& in(ordered_pair(X4,X0),X2)
& in(X4,X1) )
| in(X0,relation_image(X2,X1)) )
& relation(X2) ),
inference(rectify,[],[f222]) ).
fof(f224,plain,
( ( ! [X3] :
( ~ in(X3,relation_dom(sK2))
| ~ in(ordered_pair(X3,sK0),sK2)
| ~ in(X3,sK1) )
| ~ in(sK0,relation_image(sK2,sK1)) )
& ( ( in(sK3,relation_dom(sK2))
& in(ordered_pair(sK3,sK0),sK2)
& in(sK3,sK1) )
| in(sK0,relation_image(sK2,sK1)) )
& relation(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X4,sK3)],[f223]) ).
fof(f237,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X4,X3),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f209]) ).
fof(f238,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X4,X3),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X5,X3),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X8,X6),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f237]) ).
fof(f239,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(X4,sK14(X0,X1,X2)),X0)
| ~ in(X4,X1) )
| ~ in(sK14(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK15(X0,X1,X2),sK14(X0,X1,X2)),X0)
& in(sK15(X0,X1,X2),X1) )
| in(sK14(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(sK16(X0,X1,X6),X6),X0)
& in(sK16(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14,sK15,sK16]),skolemize(X3,sK14(X0,X1,X2)),skolemize(X5,sK15(X0,X1,X2)),skolemize(X8,sK16(X0,X1,X6))],[f238]) ).
fof(f241,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ! [X3] : ~ in(ordered_pair(X2,X3),X0) )
& ( ? [X3] : in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f220]) ).
fof(f242,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ? [X2] :
( ( ! [X3] : ~ in(ordered_pair(X2,X3),X0)
| ~ in(X2,X1) )
& ( ? [X4] : in(ordered_pair(X2,X4),X0)
| in(X2,X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( ? [X7] : in(ordered_pair(X5,X7),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(rectify,[],[f241]) ).
fof(f243,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_dom(X0)
| ( ( ! [X3] : ~ in(ordered_pair(sK17(X0,X1),X3),X0)
| ~ in(sK17(X0,X1),X1) )
& ( in(ordered_pair(sK17(X0,X1),sK18(X0,X1)),X0)
| in(sK17(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X5,X6),X0) )
& ( in(ordered_pair(X5,sK19(X0,X5)),X0)
| ~ in(X5,X1) ) )
| relation_dom(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X2,sK17(X0,X1)),skolemize(X4,sK18(X0,X1)),skolemize(X7,sK19(X0,X5))],[f242]) ).
fof(f244,plain,
relation(sK2),
inference(cnf_transformation,[],[f224]) ).
fof(f245,plain,
( in(sK3,sK1)
| in(sK0,relation_image(sK2,sK1)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f246,plain,
( in(ordered_pair(sK3,sK0),sK2)
| in(sK0,relation_image(sK2,sK1)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f248,plain,
! [X3] :
( ~ in(X3,relation_dom(sK2))
| ~ in(ordered_pair(X3,sK0),sK2)
| ~ in(X3,sK1)
| ~ in(sK0,relation_image(sK2,sK1)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f266,plain,
! [X2,X0,X1,X6] :
( in(sK16(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f267,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(sK16(X0,X1,X6),X6),X0)
| ~ in(X6,X2)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f268,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X7,X6),X0)
| ~ in(X7,X1)
| relation_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f239]) ).
fof(f286,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X5,X6),X0)
| relation_dom(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f291,plain,
! [X0,X1,X6,X7] :
( ~ in(ordered_pair(X7,X6),X0)
| in(X6,relation_image(X0,X1))
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f268]) ).
fof(f292,plain,
! [X0,X1,X6] :
( in(ordered_pair(sK16(X0,X1,X6),X6),X0)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f267]) ).
fof(f293,plain,
! [X0,X1,X6] :
( in(sK16(X0,X1,X6),X1)
| ~ in(X6,relation_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f266]) ).
fof(f294,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X5,X6),X0)
| in(X5,relation_dom(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f286]) ).
fof(f299,definition,
( spl20_1
<=> in(sK0,relation_image(sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f300,plain,
( ~ in(sK0,relation_image(sK2,sK1))
| spl20_1 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f301,plain,
( in(sK0,relation_image(sK2,sK1))
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f299]) ).
fof(f303,definition,
( spl20_2
<=> in(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f305,plain,
( in(sK3,sK1)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f303]) ).
fof(f306,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f245,f303,f299]) ).
fof(f308,definition,
( spl20_3
<=> in(ordered_pair(sK3,sK0),sK2) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f310,plain,
( in(ordered_pair(sK3,sK0),sK2)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f308]) ).
fof(f311,plain,
( spl20_1
| spl20_3 ),
inference(avatar_split_clause,[],[f246,f308,f299]) ).
fof(f318,definition,
( spl20_5
<=> ! [X3] :
( ~ in(X3,relation_dom(sK2))
| ~ in(X3,sK1)
| ~ in(ordered_pair(X3,sK0),sK2) ) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f319,plain,
( ! [X3] :
( ~ in(ordered_pair(X3,sK0),sK2)
| ~ in(X3,sK1)
| ~ in(X3,relation_dom(sK2)) )
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f318]) ).
fof(f320,plain,
( ~ spl20_1
| spl20_5 ),
inference(avatar_split_clause,[],[f248,f318,f299]) ).
fof(f393,plain,
( ~ relation(sK2)
| spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f291,f305,f300,f310]) ).
fof(f406,plain,
( $false
| spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f393,f244]) ).
fof(f407,plain,
( spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(avatar_contradiction_clause,[],[f406]) ).
fof(f409,plain,
( in(sK16(sK2,sK1,sK0),sK1)
| ~ spl20_1 ),
inference(unit_resulting_resolution,[],[f293,f244,f301]) ).
fof(f425,plain,
( in(ordered_pair(sK16(sK2,sK1,sK0),sK0),sK2)
| ~ spl20_1 ),
inference(unit_resulting_resolution,[],[f292,f244,f301]) ).
fof(f428,plain,
( ~ in(sK16(sK2,sK1,sK0),relation_dom(sK2))
| ~ spl20_1
| ~ spl20_5 ),
inference(unit_resulting_resolution,[],[f319,f409,f425]) ).
fof(f430,plain,
( in(sK16(sK2,sK1,sK0),relation_dom(sK2))
| ~ spl20_1 ),
inference(unit_resulting_resolution,[],[f294,f244,f425]) ).
fof(f435,plain,
( $false
| ~ spl20_1
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f430,f428]) ).
fof(f436,plain,
( ~ spl20_1
| ~ spl20_5 ),
inference(avatar_contradiction_clause,[],[f435]) ).
cnf(s1,plain,
( spl20_1
| spl20_2 ),
inference(sat_conversion,[],[f306]) ).
cnf(s2,plain,
( spl20_1
| spl20_3 ),
inference(sat_conversion,[],[f311]) ).
cnf(s4,plain,
( ~ spl20_1
| spl20_5 ),
inference(sat_conversion,[],[f320]) ).
cnf(s12,plain,
( spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(sat_conversion,[],[f407]) ).
cnf(s18,plain,
( ~ spl20_1
| ~ spl20_5 ),
inference(sat_conversion,[],[f436]) ).
cnf(s19,plain,
spl20_1,
inference(rat,[],[s12,s1,s2]) ).
cnf(s20,plain,
~ spl20_5,
inference(rat,[],[s18,s19]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s4,s20,s19]) ).
fof(f437,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU203+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n014.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 04:02:16 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 4.44/1.52 % (1420351)Detected formulas, will run a generic FOF schedule.
% 4.44/1.52 % (1420356)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=3504903114:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.44/1.52 % (1420360)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2110131928:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.44/1.52 % (1420357)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=3981757556:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.44/1.52 % (1420359)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=461767861:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.44/1.52 % (1420358)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=2876331699:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.44/1.52 % (1420362)dis-21_1_sil=8000:lcm=predicate:random_seed=2918978055: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)
% 4.44/1.52 % (1420361)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4200340256:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.44/1.52 % (1420359)Instruction limit reached!
% 4.44/1.52 % (1420359)------------------------------
% 4.44/1.52 % (1420359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.52 % (1420359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.52 % (1420359)CaDiCaL version: 2.1.3
% 4.44/1.52 % (1420359)Termination reason: Instruction limit
% 4.44/1.52 % (1420359)Termination phase: Saturation
% 4.44/1.52 % (1420359)Time elapsed: 0.071 s
% 4.44/1.52 % (1420359)Peak memory usage: 90 MB
% 4.44/1.52 % (1420359)Instructions burned: 109 (million)
% 4.44/1.52 % (1420362)Instruction limit reached!
% 4.44/1.52 % (1420362)------------------------------
% 4.44/1.52 % (1420362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.52 % (1420362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.52 % (1420362)CaDiCaL version: 2.1.3
% 4.44/1.52 % (1420362)Termination reason: Instruction limit
% 4.44/1.52 % (1420362)Termination phase: Saturation
% 4.44/1.52 % (1420362)Time elapsed: 0.074 s
% 4.44/1.52 % (1420362)Peak memory usage: 91 MB
% 4.44/1.52 % (1420362)Instructions burned: 129 (million)
% 4.44/1.52 % (1420360)Instruction limit reached!
% 4.44/1.52 % (1420360)------------------------------
% 4.44/1.52 % (1420360)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.52 % (1420360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.52 % (1420360)CaDiCaL version: 2.1.3
% 4.44/1.52 % (1420360)Termination reason: Instruction limit
% 4.44/1.52 % (1420360)Termination phase: Saturation
% 4.44/1.52 % (1420360)Time elapsed: 0.077 s
% 4.44/1.52 % (1420360)Peak memory usage: 89 MB
% 4.44/1.52 % (1420360)Instructions burned: 120 (million)
% 4.44/1.52 % (1420361)Instruction limit reached!
% 4.44/1.52 % (1420361)------------------------------
% 4.44/1.52 % (1420361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.52 % (1420361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.52 % (1420361)CaDiCaL version: 2.1.3
% 4.44/1.52 % (1420361)Termination reason: Instruction limit
% 4.44/1.52 % (1420361)Termination phase: Saturation
% 4.44/1.52 % (1420361)Time elapsed: 0.094 s
% 4.44/1.52 % (1420361)Peak memory usage: 90 MB
% 4.44/1.52 % (1420361)Instructions burned: 140 (million)
% 4.44/1.52 % (1420372)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3565325465:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.44/1.52 % (1420371)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2274387860:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.44/1.52 % (1420370)lrs+10_1_sil=8000:sp=occurrence:random_seed=243246233:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.44/1.52 % (1420371)First to succeed.
% 4.44/1.52 % (1420371)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1420351"
% 4.44/1.52 % (1420373)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=1254783012:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.44/1.52 % (1420356)Also succeeded, but the first one will report.
% 4.44/1.52 % (1420373)Instruction limit reached!
% 4.44/1.52 % (1420373)------------------------------
% 4.44/1.52 % (1420373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.52 % (1420373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.52 % (1420373)CaDiCaL version: 2.1.3
% 4.44/1.52 % (1420373)Termination reason: Instruction limit
% 4.44/1.52 % (1420373)Termination phase: Saturation
% 4.44/1.52 % (1420373)Time elapsed: 0.140 s
% 4.44/1.52 % (1420373)Peak memory usage: 92 MB
% 4.44/1.52 % (1420373)Instructions burned: 249 (million)
% 4.44/1.52 % (1420370)Instruction limit reached!
% 4.44/1.52 % (1420370)------------------------------
% 4.44/1.52 % (1420370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.52 % (1420370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.52 % (1420370)CaDiCaL version: 2.1.3
% 4.44/1.52 % (1420370)Termination reason: Instruction limit
% 4.44/1.52 % (1420370)Termination phase: Saturation
% 4.44/1.52 % (1420370)Time elapsed: 0.186 s
% 4.44/1.52 % (1420370)Peak memory usage: 92 MB
% 4.44/1.52 % (1420370)Instructions burned: 286 (million)
% 4.44/1.52 % (1420372)Instruction limit reached!
% 4.44/1.52 % (1420372)------------------------------
% 4.44/1.52 % (1420372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.44/1.52 % (1420372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.44/1.52 % (1420372)CaDiCaL version: 2.1.3
% 4.44/1.52 % (1420372)Termination reason: Instruction limit
% 4.44/1.52 % (1420372)Termination phase: Saturation
% 4.44/1.52 % (1420372)Time elapsed: 0.219 s
% 4.44/1.52 % (1420372)Peak memory usage: 93 MB
% 4.44/1.52 % (1420372)Instructions burned: 326 (million)
% 4.44/1.52 % (1420371)Refutation found. Thanks to Tanya!
% 4.44/1.52 % SZS status Theorem for theBenchmark
% 4.44/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.71 % (1420371)------------------------------
% 0.15/1.71 % (1420371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.71 % (1420371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.71 % (1420371)CaDiCaL version: 2.1.3
% 0.15/1.71 % (1420371)Termination reason: Refutation
% 0.15/1.71 % (1420371)Time elapsed: 0.009 s
% 0.15/1.71 % (1420371)Peak memory usage: 90 MB
% 0.15/1.71 % (1420371)Instructions burned: 11 (million)
% 0.15/1.71 % (1420371)------------------------------
% 0.15/1.71 % (1420371)------------------------------
% 0.15/1.71 % (1420351)Success in time 0.664 s
% 0.15/1.71 % Vampire exiting
%------------------------------------------------------------------------------