%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB067+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 01:00:21 PM UTC 2026
% Result : Theorem 0.16s 2.14s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 59 ( 13 unt; 2 def)
% Number of atoms : 224 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 265 ( 100 ~; 110 |; 47 &)
% ( 6 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 94 ( 0 sgn 82 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( iext(X1,X0,X2)
=> ip(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_iext_property) ).
fof(f219,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
=> ( ip(X0)
& ip(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_prop_inverseof_ext) ).
fof(f352,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentProperty,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentproperty) ).
fof(f391,axiom,
! [X0,X1] :
( iext(uri_owl_inverseOf,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X3,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_inv) ).
fof(f559,conjecture,
iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_inv_trans) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_inverseOf,uri_ex_p3,uri_ex_p2)
& iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_inv_trans) ).
fof(f562,plain,
~ iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
inference(flattening,[],[f560]) ).
fof(f564,plain,
! [X0,X1] :
( ( ip(X0)
& ip(X1) )
| ~ iext(uri_owl_inverseOf,X0,X1) ),
inference(ennf_transformation,[],[f219]) ).
fof(f565,plain,
! [X0,X1,X2] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f566,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X2,X3)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X2,X3) )
& ( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(nnf_transformation,[],[f352]) ).
fof(f567,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X2,X3)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X2,X3) )
& ( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(flattening,[],[f566]) ).
fof(f568,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X2,X3)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(rectify,[],[f567]) ).
fof(f569,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
| ~ iext(X0,sK0(X0,X1),sK1(X0,X1)) )
& ( iext(X1,sK0(X0,X1),sK1(X0,X1))
| iext(X0,sK0(X0,X1),sK1(X0,X1)) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f568]) ).
fof(f570,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(nnf_transformation,[],[f391]) ).
fof(f571,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X3,X2) )
& ( iext(X1,X3,X2)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(flattening,[],[f570]) ).
fof(f572,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X3,X2)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X3,X2)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(rectify,[],[f571]) ).
fof(f573,plain,
! [X0,X1] :
( ( iext(uri_owl_inverseOf,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK3(X0,X1),sK2(X0,X1))
| ~ iext(X0,sK2(X0,X1),sK3(X0,X1)) )
& ( iext(X1,sK3(X0,X1),sK2(X0,X1))
| iext(X0,sK2(X0,X1),sK3(X0,X1)) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X5,X4) )
& ( iext(X1,X5,X4)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_inverseOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1))],[f572]) ).
fof(f574,plain,
~ iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1),
inference(cnf_transformation,[],[f562]) ).
fof(f575,plain,
iext(uri_owl_inverseOf,uri_ex_p2,uri_ex_p1),
inference(cnf_transformation,[],[f561]) ).
fof(f576,plain,
iext(uri_owl_inverseOf,uri_ex_p3,uri_ex_p2),
inference(cnf_transformation,[],[f561]) ).
fof(f581,plain,
! [X0,X1] :
( ~ ip(X1)
| ~ ip(X0)
| iext(uri_owl_equivalentProperty,X0,X1)
| iext(X1,sK0(X0,X1),sK1(X0,X1))
| iext(X0,sK0(X0,X1),sK1(X0,X1)) ),
inference(cnf_transformation,[],[f569]) ).
fof(f582,plain,
! [X0,X1] :
( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
| ~ iext(X0,sK0(X0,X1),sK1(X0,X1)) ),
inference(cnf_transformation,[],[f569]) ).
fof(f586,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X0,X4,X5)
| iext(X1,X5,X4) ),
inference(cnf_transformation,[],[f573]) ).
fof(f587,plain,
! [X0,X1,X4,X5] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ~ iext(X1,X5,X4)
| iext(X0,X4,X5) ),
inference(cnf_transformation,[],[f573]) ).
fof(f593,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X1) ),
inference(cnf_transformation,[],[f564]) ).
fof(f594,plain,
! [X0,X1] :
( ~ iext(uri_owl_inverseOf,X0,X1)
| ip(X0) ),
inference(cnf_transformation,[],[f564]) ).
fof(f595,plain,
! [X2,X0,X1] :
( ~ iext(X1,X0,X2)
| ip(X1) ),
inference(cnf_transformation,[],[f565]) ).
fof(f597,plain,
! [X0,X1] :
( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X1)
| ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
| ~ iext(X0,sK0(X0,X1),sK1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f582,f595]) ).
fof(f599,plain,
! [X0,X1] :
( ~ iext(X1,sK0(X0,X1),sK1(X0,X1))
| iext(uri_owl_equivalentProperty,X0,X1)
| ~ iext(X0,sK0(X0,X1),sK1(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f597,f595]) ).
fof(f600,plain,
! [X0,X1] :
( ~ iext(uri_ex_p1,X0,X1)
| iext(uri_ex_p2,X1,X0) ),
inference(resolution,[],[f575,f587]) ).
fof(f601,plain,
! [X0,X1] :
( ~ iext(uri_ex_p2,X0,X1)
| iext(uri_ex_p1,X1,X0) ),
inference(resolution,[],[f575,f586]) ).
fof(f602,plain,
! [X0,X1] :
( ~ iext(uri_ex_p2,X0,X1)
| iext(uri_ex_p3,X1,X0) ),
inference(resolution,[],[f576,f587]) ).
fof(f603,plain,
! [X0,X1] :
( ~ iext(uri_ex_p3,X0,X1)
| iext(uri_ex_p2,X1,X0) ),
inference(resolution,[],[f576,f586]) ).
fof(f614,plain,
ip(uri_ex_p1),
inference(resolution,[],[f593,f575]) ).
fof(f617,plain,
! [X0] :
( ~ ip(X0)
| iext(uri_owl_equivalentProperty,X0,uri_ex_p1)
| iext(uri_ex_p1,sK0(X0,uri_ex_p1),sK1(X0,uri_ex_p1))
| iext(X0,sK0(X0,uri_ex_p1),sK1(X0,uri_ex_p1)) ),
inference(resolution,[],[f614,f581]) ).
fof(f672,plain,
ip(uri_ex_p3),
inference(resolution,[],[f594,f576]) ).
fof(f673,plain,
( iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1)
| iext(uri_ex_p1,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1))
| iext(uri_ex_p3,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1)) ),
inference(resolution,[],[f672,f617]) ).
fof(f686,plain,
( iext(uri_ex_p1,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1))
| iext(uri_ex_p3,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1)) ),
inference(forward_subsumption_resolution,[],[f673,f574]) ).
fof(f688,definition,
( spl4_20
<=> iext(uri_ex_p3,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1)) ),
introduced(definition,[new_symbols(definition,[spl4_20])],[avatar_definition]) ).
fof(f689,plain,
( iext(uri_ex_p3,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1))
| ~ spl4_20 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f691,definition,
( spl4_21
<=> iext(uri_ex_p1,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1)) ),
introduced(definition,[new_symbols(definition,[spl4_21])],[avatar_definition]) ).
fof(f692,plain,
( iext(uri_ex_p1,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1))
| ~ spl4_21 ),
inference(avatar_component_clause,[],[f691]) ).
fof(f693,plain,
( spl4_20
| spl4_21 ),
inference(avatar_split_clause,[],[f686,f691,f688]) ).
fof(f741,plain,
( iext(uri_ex_p2,sK1(uri_ex_p3,uri_ex_p1),sK0(uri_ex_p3,uri_ex_p1))
| ~ spl4_20 ),
inference(resolution,[],[f603,f689]) ).
fof(f744,plain,
( iext(uri_ex_p1,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1))
| ~ spl4_20 ),
inference(resolution,[],[f741,f601]) ).
fof(f746,plain,
( spl4_21
| ~ spl4_20 ),
inference(avatar_split_clause,[],[f744,f688,f691]) ).
fof(f749,plain,
( iext(uri_ex_p2,sK1(uri_ex_p3,uri_ex_p1),sK0(uri_ex_p3,uri_ex_p1))
| ~ spl4_21 ),
inference(resolution,[],[f600,f692]) ).
fof(f753,plain,
( iext(uri_owl_equivalentProperty,uri_ex_p3,uri_ex_p1)
| ~ iext(uri_ex_p3,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1))
| ~ spl4_21 ),
inference(resolution,[],[f599,f692]) ).
fof(f755,plain,
( ~ iext(uri_ex_p3,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1))
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f753,f574]) ).
fof(f764,plain,
( iext(uri_ex_p3,sK0(uri_ex_p3,uri_ex_p1),sK1(uri_ex_p3,uri_ex_p1))
| ~ spl4_21 ),
inference(resolution,[],[f749,f602]) ).
fof(f769,plain,
( $false
| ~ spl4_21 ),
inference(forward_subsumption_resolution,[],[f764,f755]) ).
fof(f770,plain,
~ spl4_21,
inference(avatar_contradiction_clause,[],[f769]) ).
cnf(s8,plain,
( spl4_20
| spl4_21 ),
inference(sat_conversion,[],[f693]) ).
cnf(s13,plain,
( ~ spl4_20
| spl4_21 ),
inference(sat_conversion,[],[f746]) ).
cnf(s20,plain,
~ spl4_21,
inference(sat_conversion,[],[f770]) ).
cnf(s21,plain,
~ spl4_20,
inference(rat,[],[s13,s20]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s8,s20,s21]) ).
fof(f771,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB067+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n007.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 07:13:55 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.44/1.95 % (2215055)Detected formulas, will run a generic FOF schedule.
% 6.44/1.95 % (2215063)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1546128080:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.44/1.95 % (2215063)Refutation not found, incomplete strategy
% 6.44/1.95 % (2215063)------------------------------
% 6.44/1.95 % (2215063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215063)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215063)Termination reason: Refutation not found, incomplete strategy
% 6.44/1.95 % (2215063)Time elapsed: 0.002 s
% 6.44/1.95 % (2215063)Peak memory usage: 88 MB
% 6.44/1.95 % (2215063)Instructions burned: 2 (million)
% 6.44/1.95 % (2215062)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=3903313529:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.44/1.95 % (2215064)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3635305004:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.44/1.95 % (2215060)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=2274200805:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.44/1.95 % (2215061)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=3531253975:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.44/1.95 % (2215065)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=443358994:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.44/1.95 % (2215066)dis-21_1_sil=8000:lcm=predicate:random_seed=1165835307: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)
% 6.44/1.95 % (2215064)Instruction limit reached!
% 6.44/1.95 % (2215064)------------------------------
% 6.44/1.95 % (2215064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215064)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215064)Termination reason: Instruction limit
% 6.44/1.95 % (2215064)Termination phase: Saturation
% 6.44/1.95 % (2215064)Time elapsed: 0.063 s
% 6.44/1.95 % (2215064)Peak memory usage: 87 MB
% 6.44/1.95 % (2215064)Instructions burned: 120 (million)
% 6.44/1.95 % (2215066)Instruction limit reached!
% 6.44/1.95 % (2215066)------------------------------
% 6.44/1.95 % (2215066)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215066)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215066)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215066)Termination reason: Instruction limit
% 6.44/1.95 % (2215066)Termination phase: Saturation
% 6.44/1.95 % (2215066)Time elapsed: 0.067 s
% 6.44/1.95 % (2215066)Peak memory usage: 89 MB
% 6.44/1.95 % (2215066)Instructions burned: 130 (million)
% 6.44/1.95 % (2215065)Instruction limit reached!
% 6.44/1.95 % (2215065)------------------------------
% 6.44/1.95 % (2215065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215065)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215065)Termination reason: Instruction limit
% 6.44/1.95 % (2215065)Termination phase: Saturation
% 6.44/1.95 % (2215065)Time elapsed: 0.086 s
% 6.44/1.95 % (2215065)Peak memory usage: 91 MB
% 6.44/1.95 % (2215065)Instructions burned: 139 (million)
% 6.44/1.95 % (2215063)------------------------------
% 6.44/1.95 % (2215063)------------------------------
% 6.44/1.95 % (2215074)lrs+10_1_sil=8000:sp=occurrence:random_seed=783654139:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.44/1.95 % (2215075)lrs+10_1_sil=32000:urr=on:br=off:random_seed=578179917:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.44/1.95 % (2215075)Refutation not found, incomplete strategy
% 6.44/1.95 % (2215075)------------------------------
% 6.44/1.95 % (2215075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215075)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215075)Termination reason: Refutation not found, incomplete strategy
% 6.44/1.95 % (2215075)Time elapsed: 0.004 s
% 6.44/1.95 % (2215075)Peak memory usage: 89 MB
% 6.44/1.95 % (2215075)Instructions burned: 6 (million)
% 6.44/1.95 % (2215077)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=4202696506:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.44/1.95 % (2215076)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2213767342:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.44/1.95 % (2215076)Refutation not found, incomplete strategy
% 6.44/1.95 % (2215076)------------------------------
% 6.44/1.95 % (2215076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215076)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215076)Termination reason: Refutation not found, incomplete strategy
% 6.44/1.95 % (2215076)Time elapsed: 0.003 s
% 6.44/1.95 % (2215076)Peak memory usage: 88 MB
% 6.44/1.95 % (2215076)Instructions burned: 3 (million)
% 6.44/1.95 % (2215077)Instruction limit reached!
% 6.44/1.95 % (2215077)------------------------------
% 6.44/1.95 % (2215077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215077)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215077)Termination reason: Instruction limit
% 6.44/1.95 % (2215077)Termination phase: Saturation
% 6.44/1.95 % (2215077)Time elapsed: 0.068 s
% 6.44/1.95 % (2215077)Peak memory usage: 95 MB
% 6.44/1.95 % (2215077)Instructions burned: 249 (million)
% 6.44/1.95 % (2215074)Instruction limit reached!
% 6.44/1.95 % (2215074)------------------------------
% 6.44/1.95 % (2215074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215074)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215074)Termination reason: Instruction limit
% 6.44/1.95 % (2215074)Termination phase: Saturation
% 6.44/1.95 % (2215074)Time elapsed: 0.158 s
% 6.44/1.95 % (2215074)Peak memory usage: 92 MB
% 6.44/1.95 % (2215074)Instructions burned: 285 (million)
% 6.44/1.95 % (2215082)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1772151555:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.44/1.95 % (2215075)------------------------------
% 6.44/1.95 % (2215075)------------------------------
% 6.44/1.95 % (2215076)------------------------------
% 6.44/1.95 % (2215076)------------------------------
% 6.44/1.95 % (2215082)Instruction limit reached!
% 6.44/1.95 % (2215082)------------------------------
% 6.44/1.95 % (2215082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215082)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215082)Termination reason: Instruction limit
% 6.44/1.95 % (2215082)Termination phase: Saturation
% 6.44/1.95 % (2215082)Time elapsed: 0.059 s
% 6.44/1.95 % (2215082)Peak memory usage: 88 MB
% 6.44/1.95 % (2215082)Instructions burned: 295 (million)
% 6.44/1.95 % (2215083)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4029096867:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.44/1.95 % (2215087)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2725509961:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 6.44/1.95 % (2215087)Instruction limit reached!
% 6.44/1.95 % (2215087)------------------------------
% 6.44/1.95 % (2215087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.44/1.95 % (2215087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.44/1.95 % (2215087)CaDiCaL version: 2.1.3
% 6.44/1.95 % (2215087)Termination reason: Instruction limit
% 6.44/1.95 % (2215087)Termination phase: Saturation
% 6.44/1.95 % (2215087)Time elapsed: 0.033 s
% 6.44/1.95 % (2215087)Peak memory usage: 89 MB
% 6.44/1.95 % (2215087)Instructions burned: 114 (million)
% 6.44/1.95 % (2215086)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1709171423:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 6.44/1.95 % (2215085)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1764653718:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 0.16/2.14 % (2215061)First to succeed.
% 0.16/2.14 % (2215061)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2215055"
% 0.16/2.14 % (2215085)Also succeeded, but the first one will report.
% 0.16/2.14 % (2215062)Also succeeded, but the first one will report.
% 0.16/2.14 % (2215086)Instruction limit reached!
% 0.16/2.14 % (2215086)------------------------------
% 0.16/2.14 % (2215086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.14 % (2215086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.14 % (2215086)CaDiCaL version: 2.1.3
% 0.16/2.14 % (2215086)Termination reason: Instruction limit
% 0.16/2.14 % (2215086)Termination phase: Saturation
% 0.16/2.14 % (2215086)Time elapsed: 0.067 s
% 0.16/2.14 % (2215086)Peak memory usage: 90 MB
% 0.16/2.14 % (2215086)Instructions burned: 128 (million)
% 0.16/2.14 % (2215090)lrs+10_1_sil=8000:sp=occurrence:random_seed=2568649271:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 0.16/2.14 % (2215060)Also succeeded, but the first one will report.
% 0.16/2.14 % (2215093)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3727173526:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 0.16/2.14 % (2215061)Refutation found. Thanks to Tanya!
% 0.16/2.14 % SZS status Theorem for theBenchmark
% 0.16/2.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.14 % (2215061)------------------------------
% 0.16/2.14 % (2215061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.14 % (2215061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.14 % (2215061)CaDiCaL version: 2.1.3
% 0.16/2.14 % (2215061)Termination reason: Refutation
% 0.16/2.14 % (2215061)Time elapsed: 0.631 s
% 0.16/2.14 % (2215061)Peak memory usage: 128 MB
% 0.16/2.14 % (2215061)Instructions burned: 931 (million)
% 0.16/2.14 % (2215061)------------------------------
% 0.16/2.14 % (2215061)------------------------------
% 0.16/2.14 % (2215055)Success in time 1.091 s
% 0.16/2.14 % Vampire exiting
%------------------------------------------------------------------------------