%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU009+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 12:47:03 PM UTC 2026
% Result : Theorem 2.77s 1.26s
% Output : Refutation 3.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 4
% Syntax : Number of formulae : 57 ( 9 unt; 0 def)
% Number of atoms : 270 ( 38 equ)
% Maximal formula atoms : 10 ( 4 avg)
% Number of connectives : 371 ( 158 ~; 149 |; 48 &)
% ( 8 <=>; 6 =>; 0 <=; 2 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 68 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12,axiom,
! [X0] :
( relation(identity_relation(X0))
& function(identity_relation(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_funct_1) ).
fof(f27,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ! [X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t21_funct_1) ).
fof(f29,axiom,
! [X0,X1] :
( ( relation(X1)
& function(X1) )
=> ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( in(X2,X0)
=> apply(X1,X2) = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_funct_1) ).
fof(f31,conjecture,
! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
<=> ( in(X1,relation_dom(X2))
& in(apply(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_funct_1) ).
fof(f32,negated_conjecture,
~ ! [X0,X1,X2] :
( ( relation(X2)
& function(X2) )
=> ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
<=> ( in(X1,relation_dom(X2))
& in(apply(X2,X1),X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f31]) ).
fof(f38,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
<~> ( in(X1,relation_dom(X2))
& in(apply(X2,X1),X0) ) )
& relation(X2)
& function(X2) ),
inference(ennf_transformation,[],[f32]) ).
fof(f39,plain,
? [X0,X1,X2] :
( ( in(X1,relation_dom(relation_composition(X2,identity_relation(X0))))
<~> ( in(X1,relation_dom(X2))
& in(apply(X2,X1),X0) ) )
& relation(X2)
& function(X2) ),
inference(flattening,[],[f38]) ).
fof(f55,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f29]) ).
fof(f56,plain,
! [X0,X1] :
( ( X1 = identity_relation(X0)
<=> ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(ennf_transformation,[],[f27]) ).
fof(f58,plain,
! [X0,X1] :
( ! [X2] :
( ( in(X0,relation_dom(relation_composition(X2,X1)))
<=> ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f57]) ).
fof(f61,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),X0)
| ~ in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
& ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),X0) )
| in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
& relation(X2)
& function(X2) ),
inference(nnf_transformation,[],[f39]) ).
fof(f62,plain,
? [X0,X1,X2] :
( ( ~ in(X1,relation_dom(X2))
| ~ in(apply(X2,X1),X0)
| ~ in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
& ( ( in(X1,relation_dom(X2))
& in(apply(X2,X1),X0) )
| in(X1,relation_dom(relation_composition(X2,identity_relation(X0)))) )
& relation(X2)
& function(X2) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
( ( ~ in(sK1,relation_dom(sK2))
| ~ in(apply(sK2,sK1),sK0)
| ~ in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0)))) )
& ( ( in(sK1,relation_dom(sK2))
& in(apply(sK2,sK1),sK0) )
| in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0)))) )
& relation(sK2)
& function(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f62]) ).
fof(f67,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f56]) ).
fof(f68,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X2] :
( apply(X1,X2) = X2
| ~ in(X2,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f67]) ).
fof(f69,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ? [X2] :
( apply(X1,X2) != X2
& in(X2,X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(rectify,[],[f68]) ).
fof(f70,plain,
! [X0,X1] :
( ( ( X1 = identity_relation(X0)
| relation_dom(X1) != X0
| ( sK6(X0,X1) != apply(X1,sK6(X0,X1))
& in(sK6(X0,X1),X0) ) )
& ( ( relation_dom(X1) = X0
& ! [X3] :
( apply(X1,X3) = X3
| ~ in(X3,X0) ) )
| identity_relation(X0) != X1 ) )
| ~ relation(X1)
| ~ function(X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f69]) ).
fof(f71,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(nnf_transformation,[],[f58]) ).
fof(f72,plain,
! [X0,X1] :
( ! [X2] :
( ( ( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1)) )
& ( ( in(X0,relation_dom(X2))
& in(apply(X2,X0),relation_dom(X1)) )
| ~ in(X0,relation_dom(relation_composition(X2,X1))) ) )
| ~ relation(X2)
| ~ function(X2) )
| ~ relation(X1)
| ~ function(X1) ),
inference(flattening,[],[f71]) ).
fof(f75,plain,
function(sK2),
inference(cnf_transformation,[],[f63]) ).
fof(f76,plain,
relation(sK2),
inference(cnf_transformation,[],[f63]) ).
fof(f77,plain,
( in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0))))
| in(apply(sK2,sK1),sK0) ),
inference(cnf_transformation,[],[f63]) ).
fof(f78,plain,
( in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0))))
| in(sK1,relation_dom(sK2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f79,plain,
( ~ in(sK1,relation_dom(relation_composition(sK2,identity_relation(sK0))))
| ~ in(apply(sK2,sK1),sK0)
| ~ in(sK1,relation_dom(sK2)) ),
inference(cnf_transformation,[],[f63]) ).
fof(f89,plain,
! [X0] : function(identity_relation(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f90,plain,
! [X0] : relation(identity_relation(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f104,plain,
! [X0,X1] :
( relation_dom(X1) = X0
| identity_relation(X0) != X1
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f70]) ).
fof(f107,plain,
! [X2,X0,X1] :
( in(apply(X2,X0),relation_dom(X1))
| ~ in(X0,relation_dom(relation_composition(X2,X1)))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f108,plain,
! [X2,X0,X1] :
( ~ in(X0,relation_dom(relation_composition(X2,X1)))
| in(X0,relation_dom(X2))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f109,plain,
! [X2,X0,X1] :
( in(X0,relation_dom(relation_composition(X2,X1)))
| ~ in(X0,relation_dom(X2))
| ~ in(apply(X2,X0),relation_dom(X1))
| ~ relation(X2)
| ~ function(X2)
| ~ relation(X1)
| ~ function(X1) ),
inference(cnf_transformation,[],[f72]) ).
fof(f119,plain,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
| ~ relation(identity_relation(X0))
| ~ function(identity_relation(X0)) ),
inference(equality_resolution,[],[f104]) ).
fof(f153,plain,
! [X0] :
( relation_dom(identity_relation(X0)) = X0
| ~ function(identity_relation(X0)) ),
inference(forward_subsumption_resolution,[],[f119,f90]) ).
fof(f154,plain,
! [X0] : relation_dom(identity_relation(X0)) = X0,
inference(forward_subsumption_resolution,[],[f153,f89]) ).
fof(f176,plain,
( in(sK1,relation_dom(sK2))
| ~ relation(sK2)
| ~ function(sK2)
| ~ relation(identity_relation(sK0))
| ~ function(identity_relation(sK0))
| in(sK1,relation_dom(sK2)) ),
inference(resolution,[],[f108,f78]) ).
fof(f178,plain,
( in(sK1,relation_dom(sK2))
| ~ relation(sK2)
| ~ function(sK2)
| ~ relation(identity_relation(sK0))
| ~ function(identity_relation(sK0)) ),
inference(duplicate_literal_removal,[],[f176]) ).
fof(f180,plain,
( in(sK1,relation_dom(sK2))
| ~ function(sK2)
| ~ relation(identity_relation(sK0))
| ~ function(identity_relation(sK0)) ),
inference(forward_subsumption_resolution,[],[f178,f76]) ).
fof(f183,plain,
( in(sK1,relation_dom(sK2))
| ~ relation(identity_relation(sK0))
| ~ function(identity_relation(sK0)) ),
inference(forward_subsumption_resolution,[],[f180,f75]) ).
fof(f185,plain,
( in(sK1,relation_dom(sK2))
| ~ function(identity_relation(sK0)) ),
inference(forward_subsumption_resolution,[],[f183,f90]) ).
fof(f187,plain,
in(sK1,relation_dom(sK2)),
inference(forward_subsumption_resolution,[],[f185,f89]) ).
fof(f195,plain,
! [X2,X0,X1] :
( in(apply(X1,X2),X0)
| ~ in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| ~ relation(X1)
| ~ function(X1)
| ~ relation(identity_relation(X0))
| ~ function(identity_relation(X0)) ),
inference(superposition,[],[f107,f154]) ).
fof(f196,plain,
! [X2,X0,X1] :
( in(apply(X1,X2),X0)
| ~ in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| ~ relation(X1)
| ~ function(X1)
| ~ function(identity_relation(X0)) ),
inference(forward_subsumption_resolution,[],[f195,f90]) ).
fof(f199,plain,
! [X2,X0,X1] :
( ~ in(X2,relation_dom(relation_composition(X1,identity_relation(X0))))
| in(apply(X1,X2),X0)
| ~ relation(X1)
| ~ function(X1) ),
inference(forward_subsumption_resolution,[],[f196,f89]) ).
fof(f211,plain,
( ~ in(sK1,relation_dom(sK2))
| ~ in(apply(sK2,sK1),relation_dom(identity_relation(sK0)))
| ~ relation(sK2)
| ~ function(sK2)
| ~ relation(identity_relation(sK0))
| ~ function(identity_relation(sK0))
| ~ in(apply(sK2,sK1),sK0)
| ~ in(sK1,relation_dom(sK2)) ),
inference(resolution,[],[f109,f79]) ).
fof(f212,plain,
( ~ in(sK1,relation_dom(sK2))
| ~ in(apply(sK2,sK1),relation_dom(identity_relation(sK0)))
| ~ relation(sK2)
| ~ function(sK2)
| ~ relation(identity_relation(sK0))
| ~ function(identity_relation(sK0))
| ~ in(apply(sK2,sK1),sK0) ),
inference(duplicate_literal_removal,[],[f211]) ).
fof(f214,plain,
( ~ in(apply(sK2,sK1),relation_dom(identity_relation(sK0)))
| ~ relation(sK2)
| ~ function(sK2)
| ~ relation(identity_relation(sK0))
| ~ function(identity_relation(sK0))
| ~ in(apply(sK2,sK1),sK0) ),
inference(forward_subsumption_resolution,[],[f212,f187]) ).
fof(f215,plain,
( ~ in(apply(sK2,sK1),relation_dom(identity_relation(sK0)))
| ~ function(sK2)
| ~ relation(identity_relation(sK0))
| ~ function(identity_relation(sK0))
| ~ in(apply(sK2,sK1),sK0) ),
inference(forward_subsumption_resolution,[],[f214,f76]) ).
fof(f216,plain,
( ~ in(apply(sK2,sK1),relation_dom(identity_relation(sK0)))
| ~ relation(identity_relation(sK0))
| ~ function(identity_relation(sK0))
| ~ in(apply(sK2,sK1),sK0) ),
inference(forward_subsumption_resolution,[],[f215,f75]) ).
fof(f217,plain,
( ~ in(apply(sK2,sK1),relation_dom(identity_relation(sK0)))
| ~ function(identity_relation(sK0))
| ~ in(apply(sK2,sK1),sK0) ),
inference(forward_subsumption_resolution,[],[f216,f90]) ).
fof(f218,plain,
( ~ in(apply(sK2,sK1),relation_dom(identity_relation(sK0)))
| ~ in(apply(sK2,sK1),sK0) ),
inference(forward_subsumption_resolution,[],[f217,f89]) ).
fof(f219,plain,
( ~ in(apply(sK2,sK1),sK0)
| ~ in(apply(sK2,sK1),sK0) ),
inference(forward_demodulation,[],[f218,f154]) ).
fof(f220,plain,
~ in(apply(sK2,sK1),sK0),
inference(duplicate_literal_removal,[],[f219]) ).
fof(f227,plain,
( in(apply(sK2,sK1),sK0)
| ~ relation(sK2)
| ~ function(sK2)
| in(apply(sK2,sK1),sK0) ),
inference(resolution,[],[f199,f77]) ).
fof(f231,plain,
( in(apply(sK2,sK1),sK0)
| ~ relation(sK2)
| ~ function(sK2) ),
inference(duplicate_literal_removal,[],[f227]) ).
fof(f234,plain,
( ~ relation(sK2)
| ~ function(sK2) ),
inference(forward_subsumption_resolution,[],[f231,f220]) ).
fof(f236,plain,
~ function(sK2),
inference(forward_subsumption_resolution,[],[f234,f76]) ).
fof(f238,plain,
$false,
inference(forward_subsumption_resolution,[],[f236,f75]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU009+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n017.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 03:17:06 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 2.77/1.26 % (3176109)Detected formulas, will run a generic FOF schedule.
% 2.77/1.26 % (3176116)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=3418025237:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.77/1.26 % (3176117)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=156905631:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.77/1.26 % (3176118)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2354660448:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.77/1.26 % (3176114)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=1686889306:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.77/1.26 % (3176120)dis-21_1_sil=8000:lcm=predicate:random_seed=2813400602: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)
% 2.77/1.26 % (3176115)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=4293823363:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.77/1.26 % (3176119)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2627466884:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.77/1.26 % (3176117)Refutation not found, incomplete strategy
% 2.77/1.26 % (3176117)------------------------------
% 2.77/1.26 % (3176117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.26 % (3176117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.26 % (3176117)CaDiCaL version: 2.1.3
% 2.77/1.26 % (3176117)Termination reason: Refutation not found, incomplete strategy
% 2.77/1.26 % (3176117)Time elapsed: 0.002 s
% 2.77/1.26 % (3176117)Peak memory usage: 88 MB
% 2.77/1.26 % (3176117)Instructions burned: 2 (million)
% 2.77/1.26 % (3176118)First to succeed.
% 2.77/1.26 % (3176118)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3176109"
% 2.77/1.26 % (3176119)Also succeeded, but the first one will report.
% 2.77/1.26 % (3176120)Instruction limit reached!
% 2.77/1.26 % (3176120)------------------------------
% 2.77/1.26 % (3176120)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.77/1.26 % (3176120)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.77/1.26 % (3176120)CaDiCaL version: 2.1.3
% 2.77/1.26 % (3176120)Termination reason: Instruction limit
% 2.77/1.26 % (3176120)Termination phase: Saturation
% 2.77/1.26 % (3176120)Time elapsed: 0.084 s
% 2.77/1.26 % (3176120)Peak memory usage: 90 MB
% 2.77/1.26 % (3176120)Instructions burned: 130 (million)
% 2.77/1.26 % (3176128)lrs+10_1_sil=8000:sp=occurrence:random_seed=1275071114:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.77/1.26 % (3176128)Also succeeded, but the first one will report.
% 2.77/1.26 % (3176117)------------------------------
% 2.77/1.26 % (3176117)------------------------------
% 2.77/1.26 % (3176118)Refutation found. Thanks to Tanya!
% 2.77/1.26 % SZS status Theorem for theBenchmark
% 2.77/1.26 % SZS output start Proof for theBenchmark
% See solution above
% 3.38/1.36 % (3176118)------------------------------
% 3.38/1.36 % (3176118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.38/1.36 % (3176118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.38/1.36 % (3176118)CaDiCaL version: 2.1.3
% 3.38/1.36 % (3176118)Termination reason: Refutation
% 3.38/1.36 % (3176118)Time elapsed: 0.007 s
% 3.38/1.36 % (3176118)Peak memory usage: 88 MB
% 3.38/1.36 % (3176118)Instructions burned: 9 (million)
% 3.38/1.36 % (3176118)------------------------------
% 3.38/1.36 % (3176118)------------------------------
% 3.38/1.36 % (3176109)Success in time 0.408 s
% 3.38/1.36 % Vampire exiting
%------------------------------------------------------------------------------