%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU241+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 : n026.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 12:47:58 PM UTC 2026
% Result : Theorem 4.47s 1.52s
% Output : Refutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 73 ( 7 unt; 5 def)
% Number of atoms : 268 ( 31 equ)
% Maximal formula atoms : 13 ( 3 avg)
% Number of connectives : 320 ( 125 ~; 130 |; 42 &)
% ( 12 <=>; 9 =>; 0 <=; 2 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 0 sgn 78 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_relat_2) ).
fof(f44,axiom,
! [X0] :
( relation(X0)
=> ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( ( in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X2),X0) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_relat_2) ).
fof(f140,conjecture,
! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> ! [X1,X2] :
( ( in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X1),X0) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_wellord1) ).
fof(f141,negated_conjecture,
~ ! [X0] :
( relation(X0)
=> ( antisymmetric(X0)
<=> ! [X1,X2] :
( ( in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X1),X0) )
=> X1 = X2 ) ) ),
inference(negated_conjecture,[status(cth)],[f140]) ).
fof(f215,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(ordered_pair(X0,X1),X2)
=> ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_relat_1) ).
fof(f320,plain,
! [X0] :
( ( antisymmetric(X0)
<=> is_antisymmetric_in(X0,relation_field(X0)) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f339,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f340,plain,
! [X0] :
( ! [X1] :
( is_antisymmetric_in(X0,X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0) ) )
| ~ relation(X0) ),
inference(flattening,[],[f339]) ).
fof(f412,plain,
? [X0] :
( ( antisymmetric(X0)
<~> ! [X1,X2] :
( X1 = X2
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X1),X0) ) )
& relation(X0) ),
inference(ennf_transformation,[],[f141]) ).
fof(f413,plain,
? [X0] :
( ( antisymmetric(X0)
<~> ! [X1,X2] :
( X1 = X2
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X1),X0) ) )
& relation(X0) ),
inference(flattening,[],[f412]) ).
fof(f487,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(ennf_transformation,[],[f215]) ).
fof(f488,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X1,relation_field(X2)) )
| ~ in(ordered_pair(X0,X1),X2)
| ~ relation(X2) ),
inference(flattening,[],[f487]) ).
fof(f589,plain,
! [X0] :
( ( ( antisymmetric(X0)
| ~ is_antisymmetric_in(X0,relation_field(X0)) )
& ( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f320]) ).
fof(f660,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ? [X2,X3] :
( X2 != X3
& in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X2),X0) ) )
& ( ! [X2,X3] :
( X2 = X3
| ~ in(X2,X1)
| ~ in(X3,X1)
| ~ in(ordered_pair(X2,X3),X0)
| ~ in(ordered_pair(X3,X2),X0) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f340]) ).
fof(f661,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ? [X2,X3] :
( X2 != X3
& in(X2,X1)
& in(X3,X1)
& in(ordered_pair(X2,X3),X0)
& in(ordered_pair(X3,X2),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(X4,X1)
| ~ in(X5,X1)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X4),X0) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(rectify,[],[f660]) ).
fof(f662,plain,
! [X0] :
( ! [X1] :
( ( is_antisymmetric_in(X0,X1)
| ( sK47(X0,X1) != sK48(X0,X1)
& in(sK47(X0,X1),X1)
& in(sK48(X0,X1),X1)
& in(ordered_pair(sK47(X0,X1),sK48(X0,X1)),X0)
& in(ordered_pair(sK48(X0,X1),sK47(X0,X1)),X0) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ in(X4,X1)
| ~ in(X5,X1)
| ~ in(ordered_pair(X4,X5),X0)
| ~ in(ordered_pair(X5,X4),X0) )
| ~ is_antisymmetric_in(X0,X1) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47,sK48]),skolemize(X2,sK47(X0,X1)),skolemize(X3,sK48(X0,X1))],[f661]) ).
fof(f704,plain,
? [X0] :
( ( ? [X1,X2] :
( X1 != X2
& in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X1),X0) )
| ~ antisymmetric(X0) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X1),X0) )
| antisymmetric(X0) )
& relation(X0) ),
inference(nnf_transformation,[],[f413]) ).
fof(f705,plain,
? [X0] :
( ( ? [X1,X2] :
( X1 != X2
& in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X1),X0) )
| ~ antisymmetric(X0) )
& ( ! [X1,X2] :
( X1 = X2
| ~ in(ordered_pair(X1,X2),X0)
| ~ in(ordered_pair(X2,X1),X0) )
| antisymmetric(X0) )
& relation(X0) ),
inference(flattening,[],[f704]) ).
fof(f706,plain,
? [X0] :
( ( ? [X1,X2] :
( X1 != X2
& in(ordered_pair(X1,X2),X0)
& in(ordered_pair(X2,X1),X0) )
| ~ antisymmetric(X0) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(ordered_pair(X3,X4),X0)
| ~ in(ordered_pair(X4,X3),X0) )
| antisymmetric(X0) )
& relation(X0) ),
inference(rectify,[],[f705]) ).
fof(f707,plain,
( ( ( sK77 != sK78
& in(ordered_pair(sK77,sK78),sK76)
& in(ordered_pair(sK78,sK77),sK76) )
| ~ antisymmetric(sK76) )
& ( ! [X3,X4] :
( X3 = X4
| ~ in(ordered_pair(X3,X4),sK76)
| ~ in(ordered_pair(X4,X3),sK76) )
| antisymmetric(sK76) )
& relation(sK76) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK76,sK77,sK78]),skolemize(X0,sK76),skolemize(X1,sK77),skolemize(X2,sK78)],[f706]) ).
fof(f835,plain,
! [X0] :
( is_antisymmetric_in(X0,relation_field(X0))
| ~ antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f589]) ).
fof(f836,plain,
! [X0] :
( ~ is_antisymmetric_in(X0,relation_field(X0))
| antisymmetric(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f589]) ).
fof(f950,plain,
! [X0,X1,X4,X5] :
( ~ in(ordered_pair(X5,X4),X0)
| ~ in(X4,X1)
| ~ in(X5,X1)
| ~ in(ordered_pair(X4,X5),X0)
| X4 = X5
| ~ is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f662]) ).
fof(f951,plain,
! [X0,X1] :
( in(ordered_pair(sK48(X0,X1),sK47(X0,X1)),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f662]) ).
fof(f952,plain,
! [X0,X1] :
( in(ordered_pair(sK47(X0,X1),sK48(X0,X1)),X0)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f662]) ).
fof(f955,plain,
! [X0,X1] :
( sK47(X0,X1) != sK48(X0,X1)
| is_antisymmetric_in(X0,X1)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f662]) ).
fof(f1107,plain,
relation(sK76),
inference(cnf_transformation,[],[f707]) ).
fof(f1108,plain,
! [X3,X4] :
( X3 = X4
| ~ in(ordered_pair(X3,X4),sK76)
| ~ in(ordered_pair(X4,X3),sK76)
| antisymmetric(sK76) ),
inference(cnf_transformation,[],[f707]) ).
fof(f1109,plain,
( in(ordered_pair(sK78,sK77),sK76)
| ~ antisymmetric(sK76) ),
inference(cnf_transformation,[],[f707]) ).
fof(f1110,plain,
( in(ordered_pair(sK77,sK78),sK76)
| ~ antisymmetric(sK76) ),
inference(cnf_transformation,[],[f707]) ).
fof(f1111,plain,
( sK77 != sK78
| ~ antisymmetric(sK76) ),
inference(cnf_transformation,[],[f707]) ).
fof(f1234,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X1),X2)
| in(X1,relation_field(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1235,plain,
! [X2,X0,X1] :
( ~ in(ordered_pair(X0,X1),X2)
| in(X0,relation_field(X2))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f488]) ).
fof(f1376,definition,
( spl113_3
<=> antisymmetric(sK76) ),
introduced(definition,[new_symbols(definition,[spl113_3])],[avatar_definition]) ).
fof(f1377,plain,
( ~ antisymmetric(sK76)
| spl113_3 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1378,plain,
( antisymmetric(sK76)
| ~ spl113_3 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1380,definition,
( spl113_4
<=> ! [X4,X3] :
( X3 = X4
| ~ in(ordered_pair(X4,X3),sK76)
| ~ in(ordered_pair(X3,X4),sK76) ) ),
introduced(definition,[new_symbols(definition,[spl113_4])],[avatar_definition]) ).
fof(f1381,plain,
( ! [X3,X4] :
( ~ in(ordered_pair(X4,X3),sK76)
| X3 = X4
| ~ in(ordered_pair(X3,X4),sK76) )
| ~ spl113_4 ),
inference(avatar_component_clause,[],[f1380]) ).
fof(f1382,plain,
( spl113_3
| spl113_4 ),
inference(avatar_split_clause,[],[f1108,f1380,f1376]) ).
fof(f1384,definition,
( spl113_5
<=> in(ordered_pair(sK78,sK77),sK76) ),
introduced(definition,[new_symbols(definition,[spl113_5])],[avatar_definition]) ).
fof(f1386,plain,
( in(ordered_pair(sK78,sK77),sK76)
| ~ spl113_5 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1387,plain,
( ~ spl113_3
| spl113_5 ),
inference(avatar_split_clause,[],[f1109,f1384,f1376]) ).
fof(f1389,definition,
( spl113_6
<=> in(ordered_pair(sK77,sK78),sK76) ),
introduced(definition,[new_symbols(definition,[spl113_6])],[avatar_definition]) ).
fof(f1391,plain,
( in(ordered_pair(sK77,sK78),sK76)
| ~ spl113_6 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1392,plain,
( ~ spl113_3
| spl113_6 ),
inference(avatar_split_clause,[],[f1110,f1389,f1376]) ).
fof(f1394,definition,
( spl113_7
<=> sK77 = sK78 ),
introduced(definition,[new_symbols(definition,[spl113_7])],[avatar_definition]) ).
fof(f1396,plain,
( sK77 != sK78
| spl113_7 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1397,plain,
( ~ spl113_3
| ~ spl113_7 ),
inference(avatar_split_clause,[],[f1111,f1394,f1376]) ).
fof(f1398,plain,
( ~ is_antisymmetric_in(sK76,relation_field(sK76))
| spl113_3 ),
inference(unit_resulting_resolution,[],[f836,f1107,f1377]) ).
fof(f1566,plain,
( sK48(sK76,relation_field(sK76)) != sK47(sK76,relation_field(sK76))
| spl113_3 ),
inference(unit_resulting_resolution,[],[f955,f1107,f1398]) ).
fof(f1582,plain,
( in(ordered_pair(sK48(sK76,relation_field(sK76)),sK47(sK76,relation_field(sK76))),sK76)
| spl113_3 ),
inference(unit_resulting_resolution,[],[f951,f1107,f1398]) ).
fof(f1583,plain,
( in(ordered_pair(sK47(sK76,relation_field(sK76)),sK48(sK76,relation_field(sK76))),sK76)
| spl113_3 ),
inference(unit_resulting_resolution,[],[f952,f1107,f1398]) ).
fof(f1610,plain,
( sK48(sK76,relation_field(sK76)) = sK47(sK76,relation_field(sK76))
| spl113_3
| ~ spl113_4 ),
inference(unit_resulting_resolution,[],[f1381,f1582,f1583]) ).
fof(f1638,plain,
( $false
| spl113_3
| ~ spl113_4 ),
inference(forward_subsumption_resolution,[],[f1610,f1566]) ).
fof(f1639,plain,
( spl113_3
| ~ spl113_4 ),
inference(avatar_contradiction_clause,[],[f1638]) ).
fof(f1640,plain,
( is_antisymmetric_in(sK76,relation_field(sK76))
| ~ spl113_3 ),
inference(unit_resulting_resolution,[],[f835,f1107,f1378]) ).
fof(f1651,plain,
( in(sK77,relation_field(sK76))
| ~ spl113_5 ),
inference(unit_resulting_resolution,[],[f1234,f1107,f1386]) ).
fof(f1652,plain,
( in(sK78,relation_field(sK76))
| ~ spl113_5 ),
inference(unit_resulting_resolution,[],[f1235,f1107,f1386]) ).
fof(f1854,plain,
( ~ relation(sK76)
| ~ spl113_3
| ~ spl113_5
| ~ spl113_6
| spl113_7 ),
inference(unit_resulting_resolution,[],[f950,f1396,f1640,f1651,f1386,f1391,f1652]) ).
fof(f1886,plain,
( $false
| ~ spl113_3
| ~ spl113_5
| ~ spl113_6
| spl113_7 ),
inference(forward_subsumption_resolution,[],[f1854,f1107]) ).
fof(f1887,plain,
( ~ spl113_3
| ~ spl113_5
| ~ spl113_6
| spl113_7 ),
inference(avatar_contradiction_clause,[],[f1886]) ).
cnf(s2,plain,
( spl113_3
| spl113_4 ),
inference(sat_conversion,[],[f1382]) ).
cnf(s3,plain,
( ~ spl113_3
| spl113_5 ),
inference(sat_conversion,[],[f1387]) ).
cnf(s4,plain,
( ~ spl113_3
| spl113_6 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s5,plain,
( ~ spl113_3
| ~ spl113_7 ),
inference(sat_conversion,[],[f1397]) ).
cnf(s11,plain,
( spl113_3
| ~ spl113_4 ),
inference(sat_conversion,[],[f1639]) ).
cnf(s29,plain,
( ~ spl113_3
| ~ spl113_5
| ~ spl113_6
| spl113_7 ),
inference(sat_conversion,[],[f1887]) ).
cnf(s30,plain,
spl113_3,
inference(rat,[],[s2,s11]) ).
cnf(s31,plain,
~ spl113_7,
inference(rat,[],[s5,s30]) ).
cnf(s32,plain,
spl113_6,
inference(rat,[],[s4,s30]) ).
cnf(s33,plain,
spl113_5,
inference(rat,[],[s3,s30]) ).
cnf(s34,plain,
$false,
inference(rat,[],[s29,s31,s30,s32,s33]) ).
fof(f1888,plain,
$false,
inference(avatar_sat_refutation,[],[s34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU241+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 28 04:19:12 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 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
% 4.47/1.52 % (3454347)Detected formulas, will run a generic FOF schedule.
% 4.47/1.52 % (3454356)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1257982077:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.47/1.52 % (3454355)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=86267674:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.47/1.52 % (3454353)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=3520813190:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.47/1.52 % (3454354)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=113159792:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.47/1.52 % (3454352)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=1437505666:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.47/1.52 % (3454358)dis-21_1_sil=8000:lcm=predicate:random_seed=188934414: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)
% 4.47/1.52 % (3454357)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=523542882:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.47/1.52 % (3454356)Instruction limit reached!
% 4.47/1.52 % (3454356)------------------------------
% 4.47/1.52 % (3454356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (3454356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (3454356)CaDiCaL version: 2.1.3
% 4.47/1.52 % (3454356)Termination reason: Instruction limit
% 4.47/1.52 % (3454356)Termination phase: Saturation
% 4.47/1.52 % (3454356)Time elapsed: 0.042 s
% 4.47/1.52 % (3454356)Peak memory usage: 89 MB
% 4.47/1.52 % (3454356)Instructions burned: 119 (million)
% 4.47/1.52 % (3454355)Instruction limit reached!
% 4.47/1.52 % (3454355)------------------------------
% 4.47/1.52 % (3454355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (3454355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (3454355)CaDiCaL version: 2.1.3
% 4.47/1.52 % (3454355)Termination reason: Instruction limit
% 4.47/1.52 % (3454355)Termination phase: Saturation
% 4.47/1.52 % (3454355)Time elapsed: 0.069 s
% 4.47/1.52 % (3454355)Peak memory usage: 90 MB
% 4.47/1.52 % (3454355)Instructions burned: 109 (million)
% 4.47/1.52 % (3454358)Instruction limit reached!
% 4.47/1.52 % (3454358)------------------------------
% 4.47/1.52 % (3454358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (3454358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (3454358)CaDiCaL version: 2.1.3
% 4.47/1.52 % (3454358)Termination reason: Instruction limit
% 4.47/1.52 % (3454358)Termination phase: Saturation
% 4.47/1.52 % (3454358)Time elapsed: 0.079 s
% 4.47/1.52 % (3454358)Peak memory usage: 90 MB
% 4.47/1.52 % (3454358)Instructions burned: 129 (million)
% 4.47/1.52 % (3454357)Instruction limit reached!
% 4.47/1.52 % (3454357)------------------------------
% 4.47/1.52 % (3454357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (3454357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (3454357)CaDiCaL version: 2.1.3
% 4.47/1.52 % (3454357)Termination reason: Instruction limit
% 4.47/1.52 % (3454357)Termination phase: Saturation
% 4.47/1.52 % (3454357)Time elapsed: 0.093 s
% 4.47/1.52 % (3454357)Peak memory usage: 91 MB
% 4.47/1.52 % (3454357)Instructions burned: 140 (million)
% 4.47/1.52 % (3454366)lrs+10_1_sil=8000:sp=occurrence:random_seed=1046068124:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.47/1.52 % (3454367)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3157233181:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.47/1.52 % (3454367)Refutation not found, incomplete strategy
% 4.47/1.52 % (3454367)------------------------------
% 4.47/1.52 % (3454367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (3454367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (3454367)CaDiCaL version: 2.1.3
% 4.47/1.52 % (3454367)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.52 % (3454367)Time elapsed: 0.004 s
% 4.47/1.52 % (3454367)Peak memory usage: 89 MB
% 4.47/1.52 % (3454367)Instructions burned: 5 (million)
% 4.47/1.52 % (3454366)Instruction limit reached!
% 4.47/1.52 % (3454366)------------------------------
% 4.47/1.52 % (3454366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (3454366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (3454366)CaDiCaL version: 2.1.3
% 4.47/1.52 % (3454368)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3973937493:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.47/1.52 % (3454366)Termination reason: Instruction limit
% 4.47/1.52 % (3454366)Termination phase: Saturation
% 4.47/1.52 % (3454366)Time elapsed: 0.104 s
% 4.47/1.52 % (3454366)Peak memory usage: 93 MB
% 4.47/1.52 % (3454366)Instructions burned: 287 (million)
% 4.47/1.52 % (3454370)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=2797101498:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.47/1.52 % (3454370)First to succeed.
% 4.47/1.52 % (3454370)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3454347"
% 4.47/1.52 % (3454373)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1918010797:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.47/1.52 % (3454373)Instruction limit reached!
% 4.47/1.52 % (3454373)------------------------------
% 4.47/1.52 % (3454373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (3454373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (3454373)CaDiCaL version: 2.1.3
% 4.47/1.52 % (3454373)Termination reason: Instruction limit
% 4.47/1.52 % (3454373)Termination phase: Saturation
% 4.47/1.52 % (3454373)Time elapsed: 0.101 s
% 4.47/1.52 % (3454373)Peak memory usage: 91 MB
% 4.47/1.52 % (3454373)Instructions burned: 296 (million)
% 4.47/1.52 % (3454368)Instruction limit reached!
% 4.47/1.52 % (3454368)------------------------------
% 4.47/1.52 % (3454368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.52 % (3454368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.52 % (3454368)CaDiCaL version: 2.1.3
% 4.47/1.52 % (3454368)Termination reason: Instruction limit
% 4.47/1.52 % (3454368)Termination phase: Saturation
% 4.47/1.52 % (3454368)Time elapsed: 0.224 s
% 4.47/1.52 % (3454368)Peak memory usage: 93 MB
% 4.47/1.52 % (3454368)Instructions burned: 326 (million)
% 4.47/1.52 % (3454367)------------------------------
% 4.47/1.52 % (3454367)------------------------------
% 4.47/1.52 % (3454370)Refutation found. Thanks to Tanya!
% 4.47/1.52 % SZS status Theorem for theBenchmark
% 4.47/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 5.39/1.71 % (3454370)------------------------------
% 5.39/1.71 % (3454370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.71 % (3454370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.71 % (3454370)CaDiCaL version: 2.1.3
% 5.39/1.71 % (3454370)Termination reason: Refutation
% 5.39/1.71 % (3454370)Time elapsed: 0.029 s
% 5.39/1.71 % (3454370)Peak memory usage: 91 MB
% 5.39/1.71 % (3454370)Instructions burned: 42 (million)
% 5.39/1.71 % (3454370)------------------------------
% 5.39/1.71 % (3454370)------------------------------
% 5.39/1.71 % (3454347)Success in time 0.681 s
% 5.39/1.71 % Vampire exiting
%------------------------------------------------------------------------------