%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU208+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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:47:44 PM UTC 2026
% Result : Theorem 3.67s 1.46s
% Output : Refutation 4.95s
% 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(f12,axiom,
! [X0] :
( relation(X0)
=> ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d14_relat_1) ).
fof(f30,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(f131,conjecture,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t166_relat_1) ).
fof(f132,negated_conjecture,
~ ! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_inverse_image(X2,X1))
<=> ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f131]) ).
fof(f207,plain,
? [X0,X1,X2] :
( ( in(X0,relation_inverse_image(X2,X1))
<~> ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) ) )
& relation(X2) ),
inference(ennf_transformation,[],[f132]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( X1 = relation_rng(X0)
<=> ! [X2] :
( in(X2,X1)
<=> ? [X3] : in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f217,plain,
! [X0] :
( ! [X1,X2] :
( X2 = relation_inverse_image(X0,X1)
<=> ! [X3] :
( in(X3,X2)
<=> ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) ) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f221,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,relation_rng(X2))
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,X1) )
| ~ in(X0,relation_inverse_image(X2,X1)) )
& ( ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) )
| in(X0,relation_inverse_image(X2,X1)) )
& relation(X2) ),
inference(nnf_transformation,[],[f207]) ).
fof(f222,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,relation_rng(X2))
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,X1) )
| ~ in(X0,relation_inverse_image(X2,X1)) )
& ( ? [X3] :
( in(X3,relation_rng(X2))
& in(ordered_pair(X0,X3),X2)
& in(X3,X1) )
| in(X0,relation_inverse_image(X2,X1)) )
& relation(X2) ),
inference(flattening,[],[f221]) ).
fof(f223,plain,
? [X0,X1,X2] :
( ( ! [X3] :
( ~ in(X3,relation_rng(X2))
| ~ in(ordered_pair(X0,X3),X2)
| ~ in(X3,X1) )
| ~ in(X0,relation_inverse_image(X2,X1)) )
& ( ? [X4] :
( in(X4,relation_rng(X2))
& in(ordered_pair(X0,X4),X2)
& in(X4,X1) )
| in(X0,relation_inverse_image(X2,X1)) )
& relation(X2) ),
inference(rectify,[],[f222]) ).
fof(f224,plain,
( ( ! [X3] :
( ~ in(X3,relation_rng(sK2))
| ~ in(ordered_pair(sK0,X3),sK2)
| ~ in(X3,sK1) )
| ~ in(sK0,relation_inverse_image(sK2,sK1)) )
& ( ( in(sK3,relation_rng(sK2))
& in(ordered_pair(sK0,sK3),sK2)
& in(sK3,sK1) )
| in(sK0,relation_inverse_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(f228,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,[],[f213]) ).
fof(f229,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,[],[f228]) ).
fof(f230,plain,
! [X0] :
( ! [X1] :
( ( X1 = relation_rng(X0)
| ( ( ! [X3] : ~ in(ordered_pair(X3,sK7(X0,X1)),X0)
| ~ in(sK7(X0,X1),X1) )
& ( in(ordered_pair(sK8(X0,X1),sK7(X0,X1)),X0)
| in(sK7(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( in(X5,X1)
| ! [X6] : ~ in(ordered_pair(X6,X5),X0) )
& ( in(ordered_pair(sK9(X0,X5),X5),X0)
| ~ in(X5,X1) ) )
| relation_rng(X0) != X1 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7,sK8,sK9]),skolemize(X2,sK7(X0,X1)),skolemize(X4,sK8(X0,X1)),skolemize(X7,sK9(X0,X5))],[f229]) ).
fof(f240,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| in(X3,X2) ) ) )
& ( ! [X3] :
( ( in(X3,X2)
| ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) ) )
& ( ? [X4] :
( in(ordered_pair(X3,X4),X0)
& in(X4,X1) )
| ~ in(X3,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f217]) ).
fof(f241,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ? [X3] :
( ( ! [X4] :
( ~ in(ordered_pair(X3,X4),X0)
| ~ in(X4,X1) )
| ~ in(X3,X2) )
& ( ? [X5] :
( in(ordered_pair(X3,X5),X0)
& in(X5,X1) )
| in(X3,X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1) ) )
& ( ? [X8] :
( in(ordered_pair(X6,X8),X0)
& in(X8,X1) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(rectify,[],[f240]) ).
fof(f242,plain,
! [X0] :
( ! [X1,X2] :
( ( X2 = relation_inverse_image(X0,X1)
| ( ( ! [X4] :
( ~ in(ordered_pair(sK17(X0,X1,X2),X4),X0)
| ~ in(X4,X1) )
| ~ in(sK17(X0,X1,X2),X2) )
& ( ( in(ordered_pair(sK17(X0,X1,X2),sK18(X0,X1,X2)),X0)
& in(sK18(X0,X1,X2),X1) )
| in(sK17(X0,X1,X2),X2) ) ) )
& ( ! [X6] :
( ( in(X6,X2)
| ! [X7] :
( ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1) ) )
& ( ( in(ordered_pair(X6,sK19(X0,X1,X6)),X0)
& in(sK19(X0,X1,X6),X1) )
| ~ in(X6,X2) ) )
| relation_inverse_image(X0,X1) != X2 ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X3,sK17(X0,X1,X2)),skolemize(X5,sK18(X0,X1,X2)),skolemize(X8,sK19(X0,X1,X6))],[f241]) ).
fof(f243,plain,
relation(sK2),
inference(cnf_transformation,[],[f224]) ).
fof(f244,plain,
( in(sK3,sK1)
| in(sK0,relation_inverse_image(sK2,sK1)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f245,plain,
( in(ordered_pair(sK0,sK3),sK2)
| in(sK0,relation_inverse_image(sK2,sK1)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f247,plain,
! [X3] :
( ~ in(X3,relation_rng(sK2))
| ~ in(ordered_pair(sK0,X3),sK2)
| ~ in(X3,sK1)
| ~ in(sK0,relation_inverse_image(sK2,sK1)) ),
inference(cnf_transformation,[],[f224]) ).
fof(f256,plain,
! [X0,X1,X6,X5] :
( in(X5,X1)
| ~ in(ordered_pair(X6,X5),X0)
| relation_rng(X0) != X1
| ~ relation(X0) ),
inference(cnf_transformation,[],[f230]) ).
fof(f269,plain,
! [X2,X0,X1,X6] :
( in(sK19(X0,X1,X6),X1)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f270,plain,
! [X2,X0,X1,X6] :
( in(ordered_pair(X6,sK19(X0,X1,X6)),X0)
| ~ in(X6,X2)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f271,plain,
! [X2,X0,X1,X6,X7] :
( in(X6,X2)
| ~ in(ordered_pair(X6,X7),X0)
| ~ in(X7,X1)
| relation_inverse_image(X0,X1) != X2
| ~ relation(X0) ),
inference(cnf_transformation,[],[f242]) ).
fof(f278,plain,
! [X0,X6,X5] :
( ~ in(ordered_pair(X6,X5),X0)
| in(X5,relation_rng(X0))
| ~ relation(X0) ),
inference(equality_resolution,[],[f256]) ).
fof(f282,plain,
! [X0,X1,X6,X7] :
( ~ in(ordered_pair(X6,X7),X0)
| in(X6,relation_inverse_image(X0,X1))
| ~ in(X7,X1)
| ~ relation(X0) ),
inference(equality_resolution,[],[f271]) ).
fof(f283,plain,
! [X0,X1,X6] :
( in(ordered_pair(X6,sK19(X0,X1,X6)),X0)
| ~ in(X6,relation_inverse_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f270]) ).
fof(f284,plain,
! [X0,X1,X6] :
( in(sK19(X0,X1,X6),X1)
| ~ in(X6,relation_inverse_image(X0,X1))
| ~ relation(X0) ),
inference(equality_resolution,[],[f269]) ).
fof(f288,definition,
( spl20_1
<=> in(sK0,relation_inverse_image(sK2,sK1)) ),
introduced(definition,[new_symbols(definition,[spl20_1])],[avatar_definition]) ).
fof(f289,plain,
( ~ in(sK0,relation_inverse_image(sK2,sK1))
| spl20_1 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f290,plain,
( in(sK0,relation_inverse_image(sK2,sK1))
| ~ spl20_1 ),
inference(avatar_component_clause,[],[f288]) ).
fof(f292,definition,
( spl20_2
<=> in(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl20_2])],[avatar_definition]) ).
fof(f294,plain,
( in(sK3,sK1)
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f292]) ).
fof(f295,plain,
( spl20_1
| spl20_2 ),
inference(avatar_split_clause,[],[f244,f292,f288]) ).
fof(f297,definition,
( spl20_3
<=> in(ordered_pair(sK0,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl20_3])],[avatar_definition]) ).
fof(f299,plain,
( in(ordered_pair(sK0,sK3),sK2)
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f297]) ).
fof(f300,plain,
( spl20_1
| spl20_3 ),
inference(avatar_split_clause,[],[f245,f297,f288]) ).
fof(f307,definition,
( spl20_5
<=> ! [X3] :
( ~ in(X3,relation_rng(sK2))
| ~ in(X3,sK1)
| ~ in(ordered_pair(sK0,X3),sK2) ) ),
introduced(definition,[new_symbols(definition,[spl20_5])],[avatar_definition]) ).
fof(f308,plain,
( ! [X3] :
( ~ in(ordered_pair(sK0,X3),sK2)
| ~ in(X3,sK1)
| ~ in(X3,relation_rng(sK2)) )
| ~ spl20_5 ),
inference(avatar_component_clause,[],[f307]) ).
fof(f309,plain,
( ~ spl20_1
| spl20_5 ),
inference(avatar_split_clause,[],[f247,f307,f288]) ).
fof(f343,plain,
( ~ relation(sK2)
| spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(unit_resulting_resolution,[],[f282,f294,f289,f299]) ).
fof(f356,plain,
( $false
| spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(forward_subsumption_resolution,[],[f343,f243]) ).
fof(f357,plain,
( spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(avatar_contradiction_clause,[],[f356]) ).
fof(f359,plain,
( in(sK19(sK2,sK1,sK0),sK1)
| ~ spl20_1 ),
inference(unit_resulting_resolution,[],[f284,f243,f290]) ).
fof(f375,plain,
( in(ordered_pair(sK0,sK19(sK2,sK1,sK0)),sK2)
| ~ spl20_1 ),
inference(unit_resulting_resolution,[],[f283,f243,f290]) ).
fof(f378,plain,
( ~ in(sK19(sK2,sK1,sK0),relation_rng(sK2))
| ~ spl20_1
| ~ spl20_5 ),
inference(unit_resulting_resolution,[],[f308,f359,f375]) ).
fof(f380,plain,
( in(sK19(sK2,sK1,sK0),relation_rng(sK2))
| ~ spl20_1 ),
inference(unit_resulting_resolution,[],[f278,f243,f375]) ).
fof(f384,plain,
( $false
| ~ spl20_1
| ~ spl20_5 ),
inference(forward_subsumption_resolution,[],[f380,f378]) ).
fof(f385,plain,
( ~ spl20_1
| ~ spl20_5 ),
inference(avatar_contradiction_clause,[],[f384]) ).
cnf(s1,plain,
( spl20_1
| spl20_2 ),
inference(sat_conversion,[],[f295]) ).
cnf(s2,plain,
( spl20_1
| spl20_3 ),
inference(sat_conversion,[],[f300]) ).
cnf(s4,plain,
( ~ spl20_1
| spl20_5 ),
inference(sat_conversion,[],[f309]) ).
cnf(s9,plain,
( spl20_1
| ~ spl20_2
| ~ spl20_3 ),
inference(sat_conversion,[],[f357]) ).
cnf(s15,plain,
( ~ spl20_1
| ~ spl20_5 ),
inference(sat_conversion,[],[f385]) ).
cnf(s16,plain,
spl20_1,
inference(rat,[],[s9,s1,s2]) ).
cnf(s17,plain,
~ spl20_5,
inference(rat,[],[s15,s16]) ).
cnf(s18,plain,
$false,
inference(rat,[],[s4,s17,s16]) ).
fof(f386,plain,
$false,
inference(avatar_sat_refutation,[],[s18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU208+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 : n005.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 04:03:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.67/1.46 % (423419)Detected formulas, will run a generic FOF schedule.
% 3.67/1.46 % (423426)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=1370187795:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.67/1.46 % (423430)dis-21_1_sil=8000:lcm=predicate:random_seed=2283111187: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)
% 3.67/1.46 % (423424)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=3361664370:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.67/1.46 % (423428)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=504071333:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.67/1.46 % (423427)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=13177018:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.67/1.46 % (423425)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=1888434650:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.67/1.46 % (423429)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2924115069:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.67/1.46 % (423427)Instruction limit reached!
% 3.67/1.46 % (423427)------------------------------
% 3.67/1.46 % (423427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.46 % (423427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.46 % (423427)CaDiCaL version: 2.1.3
% 3.67/1.46 % (423427)Termination reason: Instruction limit
% 3.67/1.46 % (423427)Termination phase: Saturation
% 3.67/1.46 % (423427)Time elapsed: 0.071 s
% 3.67/1.46 % (423427)Peak memory usage: 90 MB
% 3.67/1.46 % (423427)Instructions burned: 110 (million)
% 3.67/1.46 % (423430)Instruction limit reached!
% 3.67/1.46 % (423430)------------------------------
% 3.67/1.46 % (423430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.46 % (423430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.46 % (423430)CaDiCaL version: 2.1.3
% 3.67/1.46 % (423430)Termination reason: Instruction limit
% 3.67/1.46 % (423430)Termination phase: Saturation
% 3.67/1.46 % (423430)Time elapsed: 0.075 s
% 3.67/1.46 % (423430)Peak memory usage: 91 MB
% 3.67/1.46 % (423430)Instructions burned: 130 (million)
% 3.67/1.46 % (423428)Instruction limit reached!
% 3.67/1.46 % (423428)------------------------------
% 3.67/1.46 % (423428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.46 % (423428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.46 % (423428)CaDiCaL version: 2.1.3
% 3.67/1.46 % (423428)Termination reason: Instruction limit
% 3.67/1.46 % (423428)Termination phase: Saturation
% 3.67/1.46 % (423428)Time elapsed: 0.077 s
% 3.67/1.46 % (423428)Peak memory usage: 89 MB
% 3.67/1.46 % (423428)Instructions burned: 120 (million)
% 3.67/1.46 % (423429)Instruction limit reached!
% 3.67/1.46 % (423429)------------------------------
% 3.67/1.46 % (423429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.46 % (423429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.46 % (423429)CaDiCaL version: 2.1.3
% 3.67/1.46 % (423429)Termination reason: Instruction limit
% 3.67/1.46 % (423429)Termination phase: Saturation
% 3.67/1.46 % (423429)Time elapsed: 0.101 s
% 3.67/1.46 % (423429)Peak memory usage: 90 MB
% 3.67/1.46 % (423429)Instructions burned: 139 (million)
% 3.67/1.46 % (423438)lrs+10_1_sil=8000:sp=occurrence:random_seed=845908547:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.67/1.46 % (423439)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1036666383:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.67/1.46 % (423440)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1024687202:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.67/1.46 % (423439)First to succeed.
% 3.67/1.46 % (423439)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-423419"
% 3.67/1.46 % (423441)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=554333136:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 3.67/1.46 % (423441)Instruction limit reached!
% 3.67/1.46 % (423441)------------------------------
% 3.67/1.46 % (423441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.46 % (423441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.46 % (423441)CaDiCaL version: 2.1.3
% 3.67/1.46 % (423441)Termination reason: Instruction limit
% 3.67/1.46 % (423441)Termination phase: Saturation
% 3.67/1.46 % (423441)Time elapsed: 0.137 s
% 3.67/1.46 % (423441)Peak memory usage: 92 MB
% 3.67/1.46 % (423441)Instructions burned: 248 (million)
% 3.67/1.46 % (423438)Instruction limit reached!
% 3.67/1.46 % (423438)------------------------------
% 3.67/1.46 % (423438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.46 % (423438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.46 % (423438)CaDiCaL version: 2.1.3
% 3.67/1.46 % (423438)Termination reason: Instruction limit
% 3.67/1.46 % (423438)Termination phase: Saturation
% 3.67/1.46 % (423438)Time elapsed: 0.184 s
% 3.67/1.46 % (423438)Peak memory usage: 92 MB
% 3.67/1.46 % (423438)Instructions burned: 285 (million)
% 3.67/1.46 % (423440)Instruction limit reached!
% 3.67/1.46 % (423440)------------------------------
% 3.67/1.46 % (423440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.67/1.46 % (423440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.67/1.46 % (423440)CaDiCaL version: 2.1.3
% 3.67/1.46 % (423440)Termination reason: Instruction limit
% 3.67/1.46 % (423440)Termination phase: Saturation
% 3.67/1.46 % (423440)Time elapsed: 0.217 s
% 3.67/1.46 % (423440)Peak memory usage: 93 MB
% 3.67/1.46 % (423440)Instructions burned: 326 (million)
% 3.67/1.46 % (423439)Refutation found. Thanks to Tanya!
% 3.67/1.46 % SZS status Theorem for theBenchmark
% 3.67/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 4.95/1.67 % (423439)------------------------------
% 4.95/1.67 % (423439)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.95/1.67 % (423439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.95/1.67 % (423439)CaDiCaL version: 2.1.3
% 4.95/1.67 % (423439)Termination reason: Refutation
% 4.95/1.67 % (423439)Time elapsed: 0.008 s
% 4.95/1.67 % (423439)Peak memory usage: 90 MB
% 4.95/1.67 % (423439)Instructions burned: 9 (million)
% 4.95/1.67 % (423439)------------------------------
% 4.95/1.67 % (423439)------------------------------
% 4.95/1.67 % (423419)Success in time 0.622 s
% 4.95/1.67 % Vampire exiting
%------------------------------------------------------------------------------