%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SET733+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:41:46 PM UTC 2026
% Result : Theorem 3.62s 1.56s
% Output : Refutation 5.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 60 ( 24 unt; 0 def)
% Number of atoms : 230 ( 16 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 244 ( 74 ~; 71 |; 71 &)
% ( 7 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 7 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-5 aty)
% Number of variables : 197 ( 173 !; 24 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X3,X5,X6] :
( ( member(X3,X1)
& member(X5,X2)
& member(X6,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X3,X6) )
=> X5 = X6 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',maps) ).
fof(f14,axiom,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( member(X5,X2)
& member(X6,X4) )
=> ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',compose_function) ).
fof(f16,axiom,
! [X0,X1] :
( identity(X0,X1)
<=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',identity) ).
fof(f17,axiom,
! [X0,X1,X2] :
( injective(X0,X1,X2)
<=> ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X4,X5) )
=> X3 = X4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',injective) ).
fof(f29,conjecture,
! [X0,X1,X2,X3] :
( ( maps(X0,X2,X3)
& maps(X1,X3,X2)
& identity(compose_function(X1,X0,X2,X3,X2),X2) )
=> injective(X0,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thII24) ).
fof(f30,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( maps(X0,X2,X3)
& maps(X1,X3,X2)
& identity(compose_function(X1,X0,X2,X3,X2),X2) )
=> injective(X0,X2,X3) ),
inference(negated_conjecture,[status(cth)],[f29]) ).
fof(f31,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
<=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(rectify,[],[f12]) ).
fof(f32,plain,
! [X0,X1,X2] :
( maps(X0,X1,X2)
=> ( ! [X3] :
( member(X3,X1)
=> ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) ) )
& ! [X5,X6,X7] :
( ( member(X5,X1)
& member(X6,X2)
& member(X7,X2) )
=> ( ( apply(X0,X5,X6)
& apply(X0,X5,X7) )
=> X6 = X7 ) ) ) ),
inference(unused_predicate_definition_removal,[],[f31]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ! [X3,X4,X5] :
( ( member(X3,X1)
& member(X4,X1)
& member(X5,X2) )
=> ( ( apply(X0,X3,X5)
& apply(X0,X4,X5) )
=> X3 = X4 ) )
=> injective(X0,X1,X2) ),
inference(unused_predicate_definition_removal,[],[f17]) ).
fof(f34,plain,
! [X0,X1] :
( identity(X0,X1)
=> ! [X2] :
( member(X2,X1)
=> apply(X0,X2,X2) ) ),
inference(unused_predicate_definition_removal,[],[f16]) ).
fof(f35,plain,
? [X0,X1,X2,X3] :
( ~ injective(X0,X2,X3)
& maps(X0,X2,X3)
& maps(X1,X3,X2)
& identity(compose_function(X1,X0,X2,X3,X2),X2) ),
inference(ennf_transformation,[],[f30]) ).
fof(f36,plain,
? [X0,X1,X2,X3] :
( ~ injective(X0,X2,X3)
& maps(X0,X2,X3)
& maps(X1,X3,X2)
& identity(compose_function(X1,X0,X2,X3,X2),X2) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f38,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ? [X4] :
( member(X4,X2)
& apply(X0,X3,X4) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(flattening,[],[f37]) ).
fof(f39,plain,
! [X0,X1] :
( ! [X2] :
( apply(X0,X2,X2)
| ~ member(X2,X1) )
| ~ identity(X0,X1) ),
inference(ennf_transformation,[],[f34]) ).
fof(f40,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X3,X5)
& apply(X0,X4,X5)
& member(X3,X1)
& member(X4,X1)
& member(X5,X2) ) ),
inference(ennf_transformation,[],[f33]) ).
fof(f41,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
| ? [X3,X4,X5] :
( X3 != X4
& apply(X0,X3,X5)
& apply(X0,X4,X5)
& member(X3,X1)
& member(X4,X1)
& member(X5,X2) ) ),
inference(flattening,[],[f40]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(ennf_transformation,[],[f14]) ).
fof(f43,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
<=> ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(flattening,[],[f42]) ).
fof(f44,plain,
( ~ injective(sK0,sK2,sK3)
& maps(sK0,sK2,sK3)
& maps(sK1,sK3,sK2)
& identity(compose_function(sK1,sK0,sK2,sK3,sK2),sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f36]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( ! [X3] :
( ( member(sK4(X0,X2,X3),X2)
& apply(X0,X3,sK4(X0,X2,X3)) )
| ~ member(X3,X1) )
& ! [X5,X6,X7] :
( X6 = X7
| ~ apply(X0,X5,X6)
| ~ apply(X0,X5,X7)
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2) ) )
| ~ maps(X0,X1,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X4,sK4(X0,X2,X3))],[f38]) ).
fof(f46,plain,
! [X0,X1,X2] :
( injective(X0,X1,X2)
| ( sK5(X0,X1,X2) != sK6(X0,X1,X2)
& apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2))
& apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
& member(sK5(X0,X1,X2),X1)
& member(sK6(X0,X1,X2),X1)
& member(sK7(X0,X1,X2),X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X3,sK5(X0,X1,X2)),skolemize(X4,sK6(X0,X1,X2)),skolemize(X5,sK7(X0,X1,X2))],[f41]) ).
fof(f47,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X7] :
( member(X7,X3)
& apply(X1,X5,X7)
& apply(X0,X7,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(nnf_transformation,[],[f43]) ).
fof(f48,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ? [X8] :
( member(X8,X3)
& apply(X1,X5,X8)
& apply(X0,X8,X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(rectify,[],[f47]) ).
fof(f49,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ( ( apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| ! [X7] :
( ~ member(X7,X3)
| ~ apply(X1,X5,X7)
| ~ apply(X0,X7,X6) ) )
& ( ( member(sK8(X0,X1,X3,X5,X6),X3)
& apply(X1,X5,sK8(X0,X1,X3,X5,X6))
& apply(X0,sK8(X0,X1,X3,X5,X6),X6) )
| ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6) ) )
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X8,sK8(X0,X1,X3,X5,X6))],[f48]) ).
fof(f50,plain,
identity(compose_function(sK1,sK0,sK2,sK3,sK2),sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f51,plain,
maps(sK1,sK3,sK2),
inference(cnf_transformation,[],[f44]) ).
fof(f52,plain,
maps(sK0,sK2,sK3),
inference(cnf_transformation,[],[f44]) ).
fof(f53,plain,
~ injective(sK0,sK2,sK3),
inference(cnf_transformation,[],[f44]) ).
fof(f54,plain,
! [X2,X0,X1,X6,X7,X5] :
( ~ apply(X0,X5,X7)
| ~ apply(X0,X5,X6)
| X6 = X7
| ~ member(X5,X1)
| ~ member(X6,X2)
| ~ member(X7,X2)
| ~ maps(X0,X1,X2) ),
inference(cnf_transformation,[],[f45]) ).
fof(f57,plain,
! [X2,X0,X1] :
( ~ identity(X0,X1)
| ~ member(X2,X1)
| apply(X0,X2,X2) ),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
! [X2,X0,X1] :
( member(sK7(X0,X1,X2),X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f59,plain,
! [X2,X0,X1] :
( member(sK6(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f60,plain,
! [X2,X0,X1] :
( member(sK5(X0,X1,X2),X1)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f61,plain,
! [X2,X0,X1] :
( apply(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f62,plain,
! [X2,X0,X1] :
( apply(X0,sK5(X0,X1,X2),sK7(X0,X1,X2))
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f63,plain,
! [X2,X0,X1] :
( sK5(X0,X1,X2) != sK6(X0,X1,X2)
| injective(X0,X1,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f64,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X0,sK8(X0,X1,X3,X5,X6),X6)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f49]) ).
fof(f65,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| apply(X1,X5,sK8(X0,X1,X3,X5,X6))
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f49]) ).
fof(f66,plain,
! [X2,X3,X0,X1,X6,X4,X5] :
( ~ apply(compose_function(X0,X1,X2,X3,X4),X5,X6)
| member(sK8(X0,X1,X3,X5,X6),X3)
| ~ member(X5,X2)
| ~ member(X6,X4) ),
inference(cnf_transformation,[],[f49]) ).
fof(f68,plain,
member(sK7(sK0,sK2,sK3),sK3),
inference(unit_resulting_resolution,[],[f58,f53]) ).
fof(f69,plain,
member(sK6(sK0,sK2,sK3),sK2),
inference(unit_resulting_resolution,[],[f59,f53]) ).
fof(f70,plain,
apply(compose_function(sK1,sK0,sK2,sK3,sK2),sK6(sK0,sK2,sK3),sK6(sK0,sK2,sK3)),
inference(unit_resulting_resolution,[],[f57,f50,f69]) ).
fof(f71,plain,
member(sK5(sK0,sK2,sK3),sK2),
inference(unit_resulting_resolution,[],[f60,f53]) ).
fof(f72,plain,
apply(compose_function(sK1,sK0,sK2,sK3,sK2),sK5(sK0,sK2,sK3),sK5(sK0,sK2,sK3)),
inference(unit_resulting_resolution,[],[f57,f50,f71]) ).
fof(f78,plain,
sK6(sK0,sK2,sK3) != sK5(sK0,sK2,sK3),
inference(unit_resulting_resolution,[],[f63,f53]) ).
fof(f85,plain,
apply(sK0,sK6(sK0,sK2,sK3),sK7(sK0,sK2,sK3)),
inference(unit_resulting_resolution,[],[f61,f53]) ).
fof(f88,plain,
apply(sK0,sK5(sK0,sK2,sK3),sK7(sK0,sK2,sK3)),
inference(unit_resulting_resolution,[],[f62,f53]) ).
fof(f117,plain,
apply(sK0,sK6(sK0,sK2,sK3),sK8(sK1,sK0,sK3,sK6(sK0,sK2,sK3),sK6(sK0,sK2,sK3))),
inference(unit_resulting_resolution,[],[f65,f69,f69,f70]) ).
fof(f118,plain,
apply(sK1,sK8(sK1,sK0,sK3,sK6(sK0,sK2,sK3),sK6(sK0,sK2,sK3)),sK6(sK0,sK2,sK3)),
inference(unit_resulting_resolution,[],[f64,f69,f69,f70]) ).
fof(f119,plain,
member(sK8(sK1,sK0,sK3,sK6(sK0,sK2,sK3),sK6(sK0,sK2,sK3)),sK3),
inference(unit_resulting_resolution,[],[f66,f69,f69,f70]) ).
fof(f127,plain,
apply(sK0,sK5(sK0,sK2,sK3),sK8(sK1,sK0,sK3,sK5(sK0,sK2,sK3),sK5(sK0,sK2,sK3))),
inference(unit_resulting_resolution,[],[f65,f71,f71,f72]) ).
fof(f128,plain,
apply(sK1,sK8(sK1,sK0,sK3,sK5(sK0,sK2,sK3),sK5(sK0,sK2,sK3)),sK5(sK0,sK2,sK3)),
inference(unit_resulting_resolution,[],[f64,f71,f71,f72]) ).
fof(f129,plain,
member(sK8(sK1,sK0,sK3,sK5(sK0,sK2,sK3),sK5(sK0,sK2,sK3)),sK3),
inference(unit_resulting_resolution,[],[f66,f71,f71,f72]) ).
fof(f154,plain,
sK7(sK0,sK2,sK3) = sK8(sK1,sK0,sK3,sK6(sK0,sK2,sK3),sK6(sK0,sK2,sK3)),
inference(unit_resulting_resolution,[],[f54,f52,f69,f68,f85,f119,f117]) ).
fof(f186,plain,
sK7(sK0,sK2,sK3) = sK8(sK1,sK0,sK3,sK5(sK0,sK2,sK3),sK5(sK0,sK2,sK3)),
inference(unit_resulting_resolution,[],[f54,f52,f71,f68,f88,f129,f127]) ).
fof(f208,plain,
~ apply(sK1,sK8(sK1,sK0,sK3,sK5(sK0,sK2,sK3),sK5(sK0,sK2,sK3)),sK6(sK0,sK2,sK3)),
inference(unit_resulting_resolution,[],[f54,f51,f69,f71,f78,f129,f128]) ).
fof(f217,plain,
~ apply(sK1,sK7(sK0,sK2,sK3),sK6(sK0,sK2,sK3)),
inference(forward_demodulation,[],[f208,f186]) ).
fof(f280,plain,
apply(sK1,sK7(sK0,sK2,sK3),sK6(sK0,sK2,sK3)),
inference(superposition,[],[f118,f154]) ).
fof(f283,plain,
$false,
inference(forward_subsumption_resolution,[],[f280,f217]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET733+4 : TPTP v9.3.1. Bugfixed v2.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n013.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 02:39:07 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.62/1.56 % (753550)Detected formulas, will run a generic FOF schedule.
% 3.62/1.56 % (753555)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=133849149:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.62/1.56 % (753560)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3272237876:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.62/1.56 % (753556)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=2351302557:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.62/1.56 % (753559)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=886303200:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.62/1.56 % (753558)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2138406493:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.62/1.56 % (753561)dis-21_1_sil=8000:lcm=predicate:random_seed=959867141: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)
% 3.62/1.56 % (753557)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=3751581721:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.62/1.56 % (753558)Refutation not found, incomplete strategy
% 3.62/1.56 % (753558)------------------------------
% 3.62/1.56 % (753558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.56 % (753558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.56 % (753558)CaDiCaL version: 2.1.3
% 3.62/1.56 % (753558)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.56 % (753558)Time elapsed: 0.017 s
% 3.62/1.56 % (753558)Peak memory usage: 88 MB
% 3.62/1.56 % (753558)Instructions burned: 26 (million)
% 3.62/1.56 % (753559)Instruction limit reached!
% 3.62/1.56 % (753559)------------------------------
% 3.62/1.56 % (753559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.56 % (753559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.56 % (753559)CaDiCaL version: 2.1.3
% 3.62/1.56 % (753559)Termination reason: Instruction limit
% 3.62/1.56 % (753559)Termination phase: Saturation
% 3.62/1.56 % (753559)Time elapsed: 0.069 s
% 3.62/1.56 % (753559)Peak memory usage: 88 MB
% 3.62/1.56 % (753559)Instructions burned: 120 (million)
% 3.62/1.56 % (753561)Instruction limit reached!
% 3.62/1.56 % (753561)------------------------------
% 3.62/1.56 % (753561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.56 % (753561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.56 % (753561)CaDiCaL version: 2.1.3
% 3.62/1.56 % (753561)Termination reason: Instruction limit
% 3.62/1.56 % (753561)Termination phase: Saturation
% 3.62/1.56 % (753561)Time elapsed: 0.079 s
% 3.62/1.56 % (753561)Peak memory usage: 89 MB
% 3.62/1.56 % (753561)Instructions burned: 130 (million)
% 3.62/1.56 % (753560)Instruction limit reached!
% 3.62/1.56 % (753560)------------------------------
% 3.62/1.56 % (753560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.56 % (753560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.56 % (753560)CaDiCaL version: 2.1.3
% 3.62/1.56 % (753560)Termination reason: Instruction limit
% 3.62/1.56 % (753560)Termination phase: Saturation
% 3.62/1.56 % (753560)Time elapsed: 0.101 s
% 3.62/1.56 % (753560)Peak memory usage: 89 MB
% 3.62/1.56 % (753560)Instructions burned: 140 (million)
% 3.62/1.56 % (753569)lrs+10_1_sil=8000:sp=occurrence:random_seed=4072073334:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.62/1.56 % (753570)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2817356458:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.62/1.56 % (753570)First to succeed.
% 3.62/1.56 % (753570)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-753550"
% 3.62/1.56 % (753558)------------------------------
% 3.62/1.56 % (753558)------------------------------
% 3.62/1.56 % (753571)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1169129093:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.62/1.56 % (753571)Also succeeded, but the first one will report.
% 3.62/1.56 % (753569)Also succeeded, but the first one will report.
% 3.62/1.56 % (753555)Also succeeded, but the first one will report.
% 3.62/1.56 % (753575)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=3765243191:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.62/1.56 % (753570)Refutation found. Thanks to Tanya!
% 3.62/1.56 % SZS status Theorem for theBenchmark
% 3.62/1.56 % SZS output start Proof for theBenchmark
% See solution above
% 5.49/1.76 % (753570)------------------------------
% 5.49/1.76 % (753570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.49/1.76 % (753570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.49/1.76 % (753570)CaDiCaL version: 2.1.3
% 5.49/1.76 % (753570)Termination reason: Refutation
% 5.49/1.76 % (753570)Time elapsed: 0.015 s
% 5.49/1.76 % (753570)Peak memory usage: 89 MB
% 5.49/1.76 % (753570)Instructions burned: 25 (million)
% 5.49/1.76 % (753570)------------------------------
% 5.49/1.76 % (753570)------------------------------
% 5.49/1.76 % (753550)Success in time 0.695 s
% 5.49/1.76 % Vampire exiting
%------------------------------------------------------------------------------