%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU252+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 : n006.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 12:48:01 PM UTC 2026
% Result : Theorem 4.74s 1.56s
% Output : Refutation 5.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 10 unt; 0 def)
% Number of atoms : 200 ( 5 equ)
% Maximal formula atoms : 7 ( 3 avg)
% Number of connectives : 228 ( 90 ~; 97 |; 26 &)
% ( 5 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 124 ( 118 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f56,axiom,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tarski) ).
fof(f85,axiom,
! [X0,X1] :
( relation(X0)
=> relation(relation_restriction(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_wellord1) ).
fof(f142,axiom,
! [X0] :
( relation(X0)
=> ( reflexive(X0)
<=> ! [X1] :
( in(X1,relation_field(X0))
=> in(ordered_pair(X1,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l1_wellord1) ).
fof(f181,axiom,
! [X0,X1,X2,X3] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
<=> ( in(X0,X2)
& in(X1,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t106_zfmisc_1) ).
fof(f204,axiom,
! [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(f210,axiom,
! [X0,X1,X2] :
( relation(X2)
=> ( in(X0,relation_field(relation_restriction(X2,X1)))
=> ( in(X0,relation_field(X2))
& in(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t19_wellord1) ).
fof(f223,conjecture,
! [X0,X1] :
( relation(X1)
=> ( reflexive(X1)
=> reflexive(relation_restriction(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t22_wellord1) ).
fof(f224,negated_conjecture,
~ ! [X0,X1] :
( relation(X1)
=> ( reflexive(X1)
=> reflexive(relation_restriction(X1,X0)) ) ),
inference(negated_conjecture,[status(cth)],[f223]) ).
fof(f288,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f385,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f433,plain,
! [X0] :
( ( reflexive(X0)
<=> ! [X1] :
( in(ordered_pair(X1,X1),X0)
| ~ in(X1,relation_field(X0)) ) )
| ~ relation(X0) ),
inference(ennf_transformation,[],[f142]) ).
fof(f486,plain,
! [X0,X1,X2] :
( ( in(X0,relation_restriction(X2,X1))
<=> ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) ) )
| ~ relation(X2) ),
inference(ennf_transformation,[],[f204]) ).
fof(f493,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X0,X1) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(ennf_transformation,[],[f210]) ).
fof(f494,plain,
! [X0,X1,X2] :
( ( in(X0,relation_field(X2))
& in(X0,X1) )
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| ~ relation(X2) ),
inference(flattening,[],[f493]) ).
fof(f511,plain,
? [X0,X1] :
( ~ reflexive(relation_restriction(X1,X0))
& reflexive(X1)
& relation(X1) ),
inference(ennf_transformation,[],[f224]) ).
fof(f512,plain,
? [X0,X1] :
( ~ reflexive(relation_restriction(X1,X0))
& reflexive(X1)
& relation(X1) ),
inference(flattening,[],[f511]) ).
fof(f755,plain,
! [X0] :
( ( ( reflexive(X0)
| ? [X1] :
( ~ in(ordered_pair(X1,X1),X0)
& in(X1,relation_field(X0)) ) )
& ( ! [X1] :
( in(ordered_pair(X1,X1),X0)
| ~ in(X1,relation_field(X0)) )
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(nnf_transformation,[],[f433]) ).
fof(f756,plain,
! [X0] :
( ( ( reflexive(X0)
| ? [X1] :
( ~ in(ordered_pair(X1,X1),X0)
& in(X1,relation_field(X0)) ) )
& ( ! [X2] :
( in(ordered_pair(X2,X2),X0)
| ~ in(X2,relation_field(X0)) )
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(rectify,[],[f755]) ).
fof(f757,plain,
! [X0] :
( ( ( reflexive(X0)
| ( ~ in(ordered_pair(sK78(X0),sK78(X0)),X0)
& in(sK78(X0),relation_field(X0)) ) )
& ( ! [X2] :
( in(ordered_pair(X2,X2),X0)
| ~ in(X2,relation_field(X0)) )
| ~ reflexive(X0) ) )
| ~ relation(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK78]),skolemize(X1,sK78(X0))],[f756]) ).
fof(f791,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(nnf_transformation,[],[f181]) ).
fof(f792,plain,
! [X0,X1,X2,X3] :
( ( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) )
& ( ( in(X0,X2)
& in(X1,X3) )
| ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) ) ),
inference(flattening,[],[f791]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(nnf_transformation,[],[f486]) ).
fof(f803,plain,
! [X0,X1,X2] :
( ( ( in(X0,relation_restriction(X2,X1))
| ~ in(X0,X2)
| ~ in(X0,cartesian_product2(X1,X1)) )
& ( ( in(X0,X2)
& in(X0,cartesian_product2(X1,X1)) )
| ~ in(X0,relation_restriction(X2,X1)) ) )
| ~ relation(X2) ),
inference(flattening,[],[f802]) ).
fof(f806,plain,
( ~ reflexive(relation_restriction(sK105,sK104))
& reflexive(sK105)
& relation(sK105) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104,sK105]),skolemize(X0,sK104),skolemize(X1,sK105)],[f512]) ).
fof(f1067,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),singleton(X0)),
inference(cnf_transformation,[],[f56]) ).
fof(f1122,plain,
! [X0,X1] :
( relation(relation_restriction(X0,X1))
| ~ relation(X0) ),
inference(cnf_transformation,[],[f385]) ).
fof(f1196,plain,
! [X2,X0] :
( in(ordered_pair(X2,X2),X0)
| ~ in(X2,relation_field(X0))
| ~ reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f757]) ).
fof(f1197,plain,
! [X0] :
( in(sK78(X0),relation_field(X0))
| reflexive(X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f757]) ).
fof(f1198,plain,
! [X0] :
( reflexive(X0)
| ~ in(ordered_pair(sK78(X0),sK78(X0)),X0)
| ~ relation(X0) ),
inference(cnf_transformation,[],[f757]) ).
fof(f1283,plain,
! [X2,X3,X0,X1] :
( in(ordered_pair(X0,X1),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(cnf_transformation,[],[f792]) ).
fof(f1320,plain,
! [X2,X0,X1] :
( ~ in(X0,cartesian_product2(X1,X1))
| ~ in(X0,X2)
| in(X0,relation_restriction(X2,X1))
| ~ relation(X2) ),
inference(cnf_transformation,[],[f803]) ).
fof(f1326,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,X1)
| ~ relation(X2) ),
inference(cnf_transformation,[],[f494]) ).
fof(f1327,plain,
! [X2,X0,X1] :
( ~ relation(X2)
| ~ in(X0,relation_field(relation_restriction(X2,X1)))
| in(X0,relation_field(X2)) ),
inference(cnf_transformation,[],[f494]) ).
fof(f1344,plain,
relation(sK105),
inference(cnf_transformation,[],[f806]) ).
fof(f1345,plain,
reflexive(sK105),
inference(cnf_transformation,[],[f806]) ).
fof(f1346,plain,
~ reflexive(relation_restriction(sK105,sK104)),
inference(cnf_transformation,[],[f806]) ).
fof(f1461,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f288]) ).
fof(f1500,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),
inference(definition_unfolding,[],[f1067,f1461]) ).
fof(f1600,plain,
! [X0] :
( ~ in(unordered_pair(unordered_pair(sK78(X0),sK78(X0)),unordered_pair(sK78(X0),sK78(X0))),X0)
| reflexive(X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f1198,f1500]) ).
fof(f1601,plain,
! [X2,X0] :
( ~ reflexive(X0)
| ~ in(X2,relation_field(X0))
| in(unordered_pair(unordered_pair(X2,X2),unordered_pair(X2,X2)),X0)
| ~ relation(X0) ),
inference(definition_unfolding,[],[f1196,f1500]) ).
fof(f1625,plain,
! [X2,X3,X0,X1] :
( in(unordered_pair(unordered_pair(X0,X1),unordered_pair(X0,X0)),cartesian_product2(X2,X3))
| ~ in(X0,X2)
| ~ in(X1,X3) ),
inference(definition_unfolding,[],[f1283,f1500]) ).
fof(f1820,plain,
! [X0] :
( ~ in(X0,relation_field(sK105))
| in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X0)),sK105)
| ~ relation(sK105) ),
inference(resolution,[],[f1601,f1345]) ).
fof(f1821,plain,
! [X0] :
( in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X0)),sK105)
| ~ in(X0,relation_field(sK105)) ),
inference(forward_subsumption_resolution,[],[f1820,f1344]) ).
fof(f1826,plain,
! [X0,X1] :
( in(sK78(relation_restriction(X0,X1)),X1)
| ~ relation(X0)
| reflexive(relation_restriction(X0,X1))
| ~ relation(relation_restriction(X0,X1)) ),
inference(resolution,[],[f1326,f1197]) ).
fof(f1827,plain,
! [X0,X1] :
( ~ relation(X0)
| in(sK78(relation_restriction(X0,X1)),X1)
| reflexive(relation_restriction(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1826,f1122]) ).
fof(f1828,plain,
! [X0] :
( in(sK78(relation_restriction(sK105,X0)),X0)
| reflexive(relation_restriction(sK105,X0)) ),
inference(resolution,[],[f1827,f1344]) ).
fof(f1833,plain,
! [X0,X1] :
( ~ in(X0,relation_field(relation_restriction(sK105,X1)))
| in(X0,relation_field(sK105)) ),
inference(resolution,[],[f1327,f1344]) ).
fof(f1839,plain,
! [X0] :
( in(sK78(relation_restriction(sK105,X0)),relation_field(sK105))
| reflexive(relation_restriction(sK105,X0))
| ~ relation(relation_restriction(sK105,X0)) ),
inference(resolution,[],[f1833,f1197]) ).
fof(f1866,plain,
! [X2,X3,X0,X1] :
( ~ relation(X3)
| ~ in(X2,X1)
| ~ in(unordered_pair(unordered_pair(X0,X2),unordered_pair(X0,X0)),X3)
| in(unordered_pair(unordered_pair(X0,X2),unordered_pair(X0,X0)),relation_restriction(X3,X1))
| ~ in(X0,X1) ),
inference(resolution,[],[f1625,f1320]) ).
fof(f1871,plain,
! [X2,X0,X1] :
( ~ in(unordered_pair(unordered_pair(X2,X0),unordered_pair(X2,X2)),sK105)
| ~ in(X0,X1)
| in(unordered_pair(unordered_pair(X2,X0),unordered_pair(X2,X2)),relation_restriction(sK105,X1))
| ~ in(X2,X1) ),
inference(resolution,[],[f1866,f1344]) ).
fof(f1873,plain,
! [X0,X1] :
( ~ in(X0,X1)
| in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X0)),relation_restriction(sK105,X1))
| ~ in(X0,X1)
| ~ in(X0,relation_field(sK105)) ),
inference(resolution,[],[f1871,f1821]) ).
fof(f1878,plain,
! [X0,X1] :
( ~ in(X0,relation_field(sK105))
| in(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,X0)),relation_restriction(sK105,X1))
| ~ in(X0,X1) ),
inference(duplicate_literal_removal,[],[f1873]) ).
fof(f1880,plain,
! [X0,X1] :
( ~ relation(relation_restriction(sK105,X0))
| ~ in(sK78(relation_restriction(sK105,X0)),X1)
| reflexive(relation_restriction(sK105,X0))
| in(unordered_pair(unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0))),unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0)))),relation_restriction(sK105,X1)) ),
inference(resolution,[],[f1878,f1839]) ).
fof(f1890,plain,
! [X0,X1] :
( ~ in(sK78(relation_restriction(sK105,X0)),X1)
| reflexive(relation_restriction(sK105,X0))
| in(unordered_pair(unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0))),unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0)))),relation_restriction(sK105,X1))
| ~ relation(sK105) ),
inference(resolution,[],[f1880,f1122]) ).
fof(f1891,plain,
! [X0,X1] :
( ~ in(sK78(relation_restriction(sK105,X0)),X1)
| reflexive(relation_restriction(sK105,X0))
| in(unordered_pair(unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0))),unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0)))),relation_restriction(sK105,X1)) ),
inference(forward_subsumption_resolution,[],[f1890,f1344]) ).
fof(f1892,plain,
! [X0] :
( reflexive(relation_restriction(sK105,X0))
| in(unordered_pair(unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0))),unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0)))),relation_restriction(sK105,X0))
| reflexive(relation_restriction(sK105,X0)) ),
inference(resolution,[],[f1891,f1828]) ).
fof(f1901,plain,
! [X0] :
( in(unordered_pair(unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0))),unordered_pair(sK78(relation_restriction(sK105,X0)),sK78(relation_restriction(sK105,X0)))),relation_restriction(sK105,X0))
| reflexive(relation_restriction(sK105,X0)) ),
inference(duplicate_literal_removal,[],[f1892]) ).
fof(f1921,plain,
! [X0] :
( reflexive(relation_restriction(sK105,X0))
| reflexive(relation_restriction(sK105,X0))
| ~ relation(relation_restriction(sK105,X0)) ),
inference(resolution,[],[f1901,f1600]) ).
fof(f1924,plain,
! [X0] :
( ~ relation(relation_restriction(sK105,X0))
| reflexive(relation_restriction(sK105,X0)) ),
inference(duplicate_literal_removal,[],[f1921]) ).
fof(f1927,plain,
! [X0] :
( reflexive(relation_restriction(sK105,X0))
| ~ relation(sK105) ),
inference(resolution,[],[f1924,f1122]) ).
fof(f1928,plain,
! [X0] : reflexive(relation_restriction(sK105,X0)),
inference(forward_subsumption_resolution,[],[f1927,f1344]) ).
fof(f1930,plain,
$false,
inference(resolution,[],[f1928,f1346]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU252+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n006.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 28 04:19:40 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 Running first-order theorem proving
% 0.12/0.40 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
% 4.74/1.56 % (3576394)Detected formulas, will run a generic FOF schedule.
% 4.74/1.56 % (3576400)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=121396204:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.74/1.56 % (3576401)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=2141321928:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.74/1.56 % (3576403)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3189327791:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.74/1.56 % (3576405)dis-21_1_sil=8000:lcm=predicate:random_seed=2497393001: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)
% 4.74/1.56 % (3576399)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=2809570998:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.74/1.56 % (3576402)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3775594692:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.74/1.56 % (3576404)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1699881369:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.74/1.56 % (3576402)Instruction limit reached!
% 4.74/1.56 % (3576402)------------------------------
% 4.74/1.56 % (3576402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.56 % (3576402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.56 % (3576402)CaDiCaL version: 2.1.3
% 4.74/1.56 % (3576402)Termination reason: Instruction limit
% 4.74/1.56 % (3576402)Termination phase: Saturation
% 4.74/1.56 % (3576402)Time elapsed: 0.069 s
% 4.74/1.56 % (3576402)Peak memory usage: 90 MB
% 4.74/1.56 % (3576402)Instructions burned: 110 (million)
% 4.74/1.56 % (3576405)Instruction limit reached!
% 4.74/1.56 % (3576405)------------------------------
% 4.74/1.56 % (3576405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.56 % (3576405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.56 % (3576405)CaDiCaL version: 2.1.3
% 4.74/1.56 % (3576405)Termination reason: Instruction limit
% 4.74/1.56 % (3576405)Termination phase: Saturation
% 4.74/1.56 % (3576405)Time elapsed: 0.076 s
% 4.74/1.56 % (3576405)Peak memory usage: 90 MB
% 4.74/1.56 % (3576405)Instructions burned: 132 (million)
% 4.74/1.56 % (3576403)Instruction limit reached!
% 4.74/1.56 % (3576403)------------------------------
% 4.74/1.56 % (3576403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.56 % (3576403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.56 % (3576403)CaDiCaL version: 2.1.3
% 4.74/1.56 % (3576403)Termination reason: Instruction limit
% 4.74/1.56 % (3576403)Termination phase: Saturation
% 4.74/1.56 % (3576403)Time elapsed: 0.079 s
% 4.74/1.56 % (3576403)Peak memory usage: 89 MB
% 4.74/1.56 % (3576403)Instructions burned: 120 (million)
% 4.74/1.56 % (3576404)Instruction limit reached!
% 4.74/1.56 % (3576404)------------------------------
% 4.74/1.56 % (3576404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.56 % (3576404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.56 % (3576404)CaDiCaL version: 2.1.3
% 4.74/1.56 % (3576404)Termination reason: Instruction limit
% 4.74/1.56 % (3576404)Termination phase: Saturation
% 4.74/1.56 % (3576404)Time elapsed: 0.097 s
% 4.74/1.56 % (3576404)Peak memory usage: 90 MB
% 4.74/1.56 % (3576404)Instructions burned: 140 (million)
% 4.74/1.56 % (3576413)lrs+10_1_sil=8000:sp=occurrence:random_seed=3505418908:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.74/1.56 % (3576414)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3377398631:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.74/1.56 % (3576415)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2578492877:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.74/1.56 % (3576416)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=1847750073:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.74/1.56 % (3576414)Instruction limit reached!
% 4.74/1.56 % (3576414)------------------------------
% 4.74/1.56 % (3576414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.56 % (3576414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.56 % (3576414)CaDiCaL version: 2.1.3
% 4.74/1.56 % (3576414)Termination reason: Instruction limit
% 4.74/1.56 % (3576414)Termination phase: Saturation
% 4.74/1.56 % (3576414)Time elapsed: 0.084 s
% 4.74/1.56 % (3576414)Peak memory usage: 90 MB
% 4.74/1.56 % (3576414)Instructions burned: 158 (million)
% 4.74/1.56 % (3576400)First to succeed.
% 4.74/1.56 % (3576400)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3576394"
% 4.74/1.56 % (3576413)Instruction limit reached!
% 4.74/1.56 % (3576413)------------------------------
% 4.74/1.56 % (3576413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.56 % (3576413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.56 % (3576413)CaDiCaL version: 2.1.3
% 4.74/1.56 % (3576413)Termination reason: Instruction limit
% 4.74/1.56 % (3576413)Termination phase: Saturation
% 4.74/1.56 % (3576413)Time elapsed: 0.188 s
% 4.74/1.56 % (3576413)Peak memory usage: 94 MB
% 4.74/1.56 % (3576413)Instructions burned: 285 (million)
% 4.74/1.56 % (3576416)Instruction limit reached!
% 4.74/1.56 % (3576416)------------------------------
% 4.74/1.56 % (3576416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.56 % (3576416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.56 % (3576416)CaDiCaL version: 2.1.3
% 4.74/1.56 % (3576416)Termination reason: Instruction limit
% 4.74/1.56 % (3576416)Termination phase: Saturation
% 4.74/1.56 % (3576416)Time elapsed: 0.152 s
% 4.74/1.56 % (3576416)Peak memory usage: 93 MB
% 4.74/1.56 % (3576416)Instructions burned: 248 (million)
% 4.74/1.56 % (3576415)Instruction limit reached!
% 4.74/1.56 % (3576415)------------------------------
% 4.74/1.56 % (3576415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.56 % (3576415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.56 % (3576415)CaDiCaL version: 2.1.3
% 4.74/1.56 % (3576415)Termination reason: Instruction limit
% 4.74/1.56 % (3576415)Termination phase: Saturation
% 4.74/1.56 % (3576415)Time elapsed: 0.228 s
% 4.74/1.56 % (3576415)Peak memory usage: 93 MB
% 4.74/1.56 % (3576415)Instructions burned: 325 (million)
% 4.74/1.56 % (3576421)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1745297001:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.74/1.56 % (3576400)Refutation found. Thanks to Tanya!
% 4.74/1.56 % SZS status Theorem for theBenchmark
% 4.74/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.59/1.75 % (3576400)------------------------------
% 5.59/1.75 % (3576400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.59/1.75 % (3576400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.59/1.75 % (3576400)CaDiCaL version: 2.1.3
% 5.59/1.75 % (3576400)Termination reason: Refutation
% 5.59/1.75 % (3576400)Time elapsed: 0.424 s
% 5.59/1.75 % (3576400)Peak memory usage: 137 MB
% 5.59/1.75 % (3576400)Instructions burned: 1202 (million)
% 5.59/1.75 % (3576400)------------------------------
% 5.59/1.75 % (3576400)------------------------------
% 5.59/1.75 % (3576394)Success in time 0.716 s
% 5.59/1.75 % Vampire exiting
%------------------------------------------------------------------------------