%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB031+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 01:00:15 PM UTC 2026
% Result : Unsatisfiable 0.16s 2.21s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 43 ( 13 unt; 0 def)
% Number of atoms : 214 ( 25 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 269 ( 98 ~; 102 |; 58 &)
% ( 10 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 9 con; 0-2 aty)
% Number of variables : 99 ( 88 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : ir(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',simple_ir) ).
fof(f163,axiom,
! [X0] :
( icext(uri_owl_Thing,X0)
<=> ir(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_class_thing_ext) ).
fof(f294,axiom,
! [X0] :
( iext(uri_owl_oneOf,X0,uri_rdf_nil)
<=> ( ic(X0)
& ! [X1] : ~ icext(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_000) ).
fof(f295,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f351,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentClass,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_equivalentclass) ).
fof(f559,axiom,
? [X0,X1] :
( iext(uri_owl_equivalentClass,uri_owl_Thing,X0)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_w)
& iext(uri_rdf_rest,X1,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_031_Large_Universe) ).
fof(f571,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(ennf_transformation,[],[f295]) ).
fof(f572,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f571]) ).
fof(f590,plain,
( iext(uri_owl_equivalentClass,uri_owl_Thing,sK0)
& iext(uri_owl_oneOf,sK0,sK1)
& iext(uri_rdf_first,sK1,uri_ex_w)
& iext(uri_rdf_rest,sK1,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f559]) ).
fof(f591,plain,
! [X0] :
( ( icext(uri_owl_Thing,X0)
| ~ ir(X0) )
& ( ir(X0)
| ~ icext(uri_owl_Thing,X0) ) ),
inference(nnf_transformation,[],[f163]) ).
fof(f592,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(nnf_transformation,[],[f351]) ).
fof(f593,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| ~ icext(X1,X2) )
& ( icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(flattening,[],[f592]) ).
fof(f594,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ( ~ icext(X1,X2)
| ~ icext(X0,X2) )
& ( icext(X1,X2)
| icext(X0,X2) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(rectify,[],[f593]) ).
fof(f595,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentClass,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ( ~ icext(X1,sK2(X0,X1))
| ~ icext(X0,sK2(X0,X1)) )
& ( icext(X1,sK2(X0,X1))
| icext(X0,sK2(X0,X1)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( ( icext(X0,X3)
| ~ icext(X1,X3) )
& ( icext(X1,X3)
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_equivalentClass,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f594]) ).
fof(f604,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(nnf_transformation,[],[f572]) ).
fof(f605,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f604]) ).
fof(f606,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(rectify,[],[f605]) ).
fof(f607,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( sK5(X0,X2) != X2
| ~ icext(X0,sK5(X0,X2)) )
& ( sK5(X0,X2) = X2
| icext(X0,sK5(X0,X2)) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X3,sK5(X0,X2))],[f606]) ).
fof(f608,plain,
! [X0] :
( ( iext(uri_owl_oneOf,X0,uri_rdf_nil)
| ~ ic(X0)
| ? [X1] : icext(X0,X1) )
& ( ( ic(X0)
& ! [X1] : ~ icext(X0,X1) )
| ~ iext(uri_owl_oneOf,X0,uri_rdf_nil) ) ),
inference(nnf_transformation,[],[f294]) ).
fof(f609,plain,
! [X0] :
( ( iext(uri_owl_oneOf,X0,uri_rdf_nil)
| ~ ic(X0)
| ? [X1] : icext(X0,X1) )
& ( ( ic(X0)
& ! [X1] : ~ icext(X0,X1) )
| ~ iext(uri_owl_oneOf,X0,uri_rdf_nil) ) ),
inference(flattening,[],[f608]) ).
fof(f610,plain,
! [X0] :
( ( iext(uri_owl_oneOf,X0,uri_rdf_nil)
| ~ ic(X0)
| ? [X1] : icext(X0,X1) )
& ( ( ic(X0)
& ! [X2] : ~ icext(X0,X2) )
| ~ iext(uri_owl_oneOf,X0,uri_rdf_nil) ) ),
inference(rectify,[],[f609]) ).
fof(f611,plain,
! [X0] :
( ( iext(uri_owl_oneOf,X0,uri_rdf_nil)
| ~ ic(X0)
| icext(X0,sK6(X0)) )
& ( ( ic(X0)
& ! [X2] : ~ icext(X0,X2) )
| ~ iext(uri_owl_oneOf,X0,uri_rdf_nil) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f610]) ).
fof(f625,plain,
iext(uri_rdf_rest,sK1,uri_rdf_nil),
inference(cnf_transformation,[],[f590]) ).
fof(f626,plain,
iext(uri_rdf_first,sK1,uri_ex_w),
inference(cnf_transformation,[],[f590]) ).
fof(f627,plain,
iext(uri_owl_oneOf,sK0,sK1),
inference(cnf_transformation,[],[f590]) ).
fof(f628,plain,
iext(uri_owl_equivalentClass,uri_owl_Thing,sK0),
inference(cnf_transformation,[],[f590]) ).
fof(f631,plain,
! [X0] :
( icext(uri_owl_Thing,X0)
| ~ ir(X0) ),
inference(cnf_transformation,[],[f591]) ).
fof(f632,plain,
! [X3,X0,X1] :
( ~ icext(X0,X3)
| icext(X1,X3)
| ~ iext(uri_owl_equivalentClass,X0,X1) ),
inference(cnf_transformation,[],[f595]) ).
fof(f660,plain,
! [X2,X0,X1,X4] :
( ~ icext(X0,X4)
| X2 = X4
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(cnf_transformation,[],[f607]) ).
fof(f665,plain,
! [X2,X0] :
( ~ iext(uri_owl_oneOf,X0,uri_rdf_nil)
| ~ icext(X0,X2) ),
inference(cnf_transformation,[],[f611]) ).
fof(f679,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f2]) ).
fof(f719,plain,
! [X0] : icext(uri_owl_Thing,X0),
inference(forward_subsumption_resolution,[],[f631,f679]) ).
fof(f724,plain,
! [X0,X1] :
( ~ iext(uri_owl_equivalentClass,uri_owl_Thing,X0)
| icext(X0,X1) ),
inference(resolution,[],[f632,f719]) ).
fof(f746,plain,
! [X0] : icext(sK0,X0),
inference(resolution,[],[f724,f628]) ).
fof(f749,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_oneOf,sK0,X2)
| X0 = X1
| ~ iext(uri_rdf_first,X2,X0)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(resolution,[],[f746,f660]) ).
fof(f801,plain,
! [X0,X1] :
( X0 = X1
| ~ iext(uri_rdf_first,sK1,X0)
| ~ iext(uri_rdf_rest,sK1,uri_rdf_nil) ),
inference(resolution,[],[f749,f627]) ).
fof(f802,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK1,X0)
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f801,f625]) ).
fof(f803,plain,
! [X0] : uri_ex_w = X0,
inference(resolution,[],[f802,f626]) ).
fof(f804,plain,
! [X0,X1] : X0 = X1,
inference(superposition,[],[f803,f803]) ).
fof(f945,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_oneOf,X1,X0)
| ~ icext(X1,X2) ),
inference(superposition,[],[f665,f804]) ).
fof(f1034,plain,
! [X0,X1] : icext(X0,X1),
inference(superposition,[],[f746,f804]) ).
fof(f1055,plain,
! [X0,X1] : ~ iext(uri_owl_oneOf,X1,X0),
inference(forward_subsumption_resolution,[],[f945,f1034]) ).
fof(f1063,plain,
$false,
inference(resolution,[],[f1055,f627]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB031+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n007.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.38 % CPULimit : 300
% 0.13/0.38 % WCLimit : 300
% 0.13/0.38 % DateTime : Mon Sep 28 07:06:25 UTC 2026
% 0.13/0.38 % CPUTime :
% 0.13/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 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
% 6.60/2.02 % (2211145)Detected formulas, will run a generic FOF schedule.
% 6.60/2.02 % (2211153)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1651973629:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.60/2.02 % (2211153)Refutation not found, incomplete strategy
% 6.60/2.02 % (2211153)------------------------------
% 6.60/2.02 % (2211153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211153)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211153)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.02 % (2211153)Time elapsed: 0.001 s
% 6.60/2.02 % (2211153)Peak memory usage: 87 MB
% 6.60/2.02 % (2211153)Instructions burned: 1 (million)
% 6.60/2.02 % (2211154)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2388701300:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.60/2.02 % (2211151)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=2119840809:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.60/2.02 % (2211152)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=3264853578:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.60/2.02 % (2211150)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=1626697508:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.60/2.02 % (2211156)dis-21_1_sil=8000:lcm=predicate:random_seed=1196026224: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)
% 6.60/2.02 % (2211155)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3196871323:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.60/2.02 % (2211154)Refutation not found, incomplete strategy
% 6.60/2.02 % (2211154)------------------------------
% 6.60/2.02 % (2211154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211154)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211154)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.02 % (2211154)Time elapsed: 0.002 s
% 6.60/2.02 % (2211154)Peak memory usage: 86 MB
% 6.60/2.02 % (2211154)Instructions burned: 1 (million)
% 6.60/2.02 % (2211156)Instruction limit reached!
% 6.60/2.02 % (2211156)------------------------------
% 6.60/2.02 % (2211156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211156)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211156)Termination reason: Instruction limit
% 6.60/2.02 % (2211156)Termination phase: Saturation
% 6.60/2.02 % (2211156)Time elapsed: 0.068 s
% 6.60/2.02 % (2211156)Peak memory usage: 91 MB
% 6.60/2.02 % (2211156)Instructions burned: 130 (million)
% 6.60/2.02 % (2211155)Instruction limit reached!
% 6.60/2.02 % (2211155)------------------------------
% 6.60/2.02 % (2211155)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211155)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211155)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211155)Termination reason: Instruction limit
% 6.60/2.02 % (2211155)Termination phase: Saturation
% 6.60/2.02 % (2211155)Time elapsed: 0.084 s
% 6.60/2.02 % (2211155)Peak memory usage: 91 MB
% 6.60/2.02 % (2211155)Instructions burned: 139 (million)
% 6.60/2.02 % (2211153)------------------------------
% 6.60/2.02 % (2211153)------------------------------
% 6.60/2.02 % (2211164)lrs+10_1_sil=8000:sp=occurrence:random_seed=1745769933:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.60/2.02 % (2211164)Refutation not found, incomplete strategy
% 6.60/2.02 % (2211164)------------------------------
% 6.60/2.02 % (2211164)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211164)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211164)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211164)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.02 % (2211164)Time elapsed: 0.002 s
% 6.60/2.02 % (2211164)Peak memory usage: 87 MB
% 6.60/2.02 % (2211164)Instructions burned: 1 (million)
% 6.60/2.02 % (2211166)lrs+1011_1_sil=32000:sp=occurrence:random_seed=564192162:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.60/2.02 % (2211166)Refutation not found, incomplete strategy
% 6.60/2.02 % (2211166)------------------------------
% 6.60/2.02 % (2211166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211166)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211166)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.02 % (2211166)Time elapsed: 0.001 s
% 6.60/2.02 % (2211166)Peak memory usage: 87 MB
% 6.60/2.02 % (2211166)Instructions burned: 1 (million)
% 6.60/2.02 % (2211165)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2349125384:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.60/2.02 % (2211165)Refutation not found, incomplete strategy
% 6.60/2.02 % (2211165)------------------------------
% 6.60/2.02 % (2211165)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211165)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211165)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.02 % (2211165)Time elapsed: 0.003 s
% 6.60/2.02 % (2211165)Peak memory usage: 87 MB
% 6.60/2.02 % (2211165)Instructions burned: 5 (million)
% 6.60/2.02 % (2211154)------------------------------
% 6.60/2.02 % (2211154)------------------------------
% 6.60/2.02 % (2211166)------------------------------
% 6.60/2.02 % (2211166)------------------------------
% 6.60/2.02 % (2211170)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=1480448502:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 6.60/2.02 % (2211164)------------------------------
% 6.60/2.02 % (2211164)------------------------------
% 6.60/2.02 % (2211165)------------------------------
% 6.60/2.02 % (2211165)------------------------------
% 6.60/2.02 % (2211171)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2146300634:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 6.60/2.02 % (2211171)Refutation not found, incomplete strategy
% 6.60/2.02 % (2211171)------------------------------
% 6.60/2.02 % (2211171)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211171)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211171)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211171)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.02 % (2211171)Time elapsed: 0.001 s
% 6.60/2.02 % (2211171)Peak memory usage: 86 MB
% 6.60/2.02 % (2211171)Instructions burned: 2 (million)
% 6.60/2.02 % (2211170)Instruction limit reached!
% 6.60/2.02 % (2211170)------------------------------
% 6.60/2.02 % (2211170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211170)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211170)Termination reason: Instruction limit
% 6.60/2.02 % (2211170)Termination phase: Saturation
% 6.60/2.02 % (2211170)Time elapsed: 0.128 s
% 6.60/2.02 % (2211170)Peak memory usage: 95 MB
% 6.60/2.02 % (2211170)Instructions burned: 249 (million)
% 6.60/2.02 % (2211152)Refutation not found, incomplete strategy
% 6.60/2.02 % (2211152)------------------------------
% 6.60/2.02 % (2211152)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.60/2.02 % (2211152)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.60/2.02 % (2211152)CaDiCaL version: 2.1.3
% 6.60/2.02 % (2211152)Termination reason: Refutation not found, incomplete strategy
% 6.60/2.02 % (2211152)Time elapsed: 0.577 s
% 6.60/2.02 % (2211152)Peak memory usage: 127 MB
% 6.60/2.02 % (2211152)Instructions burned: 849 (million)
% 6.60/2.02 % (2211174)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1339850137:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 6.60/2.02 % (2211173)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=979660188:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 6.60/2.02 % (2211174)Refutation not found, incomplete strategy
% 6.60/2.02 % (2211174)------------------------------
% 6.60/2.02 % (2211174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.21 % (2211174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.21 % (2211174)CaDiCaL version: 2.1.3
% 0.16/2.21 % (2211174)Termination reason: Refutation not found, incomplete strategy
% 0.16/2.21 % (2211174)Time elapsed: 0.005 s
% 0.16/2.21 % (2211174)Peak memory usage: 88 MB
% 0.16/2.21 % (2211174)Instructions burned: 5 (million)
% 0.16/2.21 % (2211171)------------------------------
% 0.16/2.21 % (2211171)------------------------------
% 0.16/2.21 % (2211151)First to succeed.
% 0.16/2.21 % (2211151)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2211145"
% 0.16/2.21 % (2211176)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2743902374:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 0.16/2.21 % (2211176)Refutation not found, incomplete strategy
% 0.16/2.21 % (2211176)------------------------------
% 0.16/2.21 % (2211176)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.21 % (2211176)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.21 % (2211176)CaDiCaL version: 2.1.3
% 0.16/2.21 % (2211176)Termination reason: Refutation not found, incomplete strategy
% 0.16/2.21 % (2211176)Time elapsed: 0.035 s
% 0.16/2.21 % (2211176)Peak memory usage: 89 MB
% 0.16/2.21 % (2211176)Instructions burned: 66 (million)
% 0.16/2.21 % (2211179)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=750360219:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 0.16/2.21 % (2211152)------------------------------
% 0.16/2.21 % (2211152)------------------------------
% 0.16/2.21 % (2211179)Instruction limit reached!
% 0.16/2.21 % (2211179)------------------------------
% 0.16/2.21 % (2211179)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.21 % (2211179)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.21 % (2211179)CaDiCaL version: 2.1.3
% 0.16/2.21 % (2211179)Termination reason: Instruction limit
% 0.16/2.21 % (2211179)Termination phase: Saturation
% 0.16/2.21 % (2211179)Time elapsed: 0.035 s
% 0.16/2.21 % (2211179)Peak memory usage: 89 MB
% 0.16/2.21 % (2211179)Instructions burned: 117 (million)
% 0.16/2.21 % (2211150)Also succeeded, but the first one will report.
% 0.16/2.21 % (2211174)------------------------------
% 0.16/2.21 % (2211174)------------------------------
% 0.16/2.21 % (2211182)lrs+10_1_sil=8000:sp=occurrence:random_seed=3194144354:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 0.16/2.21 % (2211182)Refutation not found, incomplete strategy
% 0.16/2.21 % (2211182)------------------------------
% 0.16/2.21 % (2211182)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.21 % (2211182)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.21 % (2211182)CaDiCaL version: 2.1.3
% 0.16/2.21 % (2211182)Termination reason: Refutation not found, incomplete strategy
% 0.16/2.21 % (2211182)Time elapsed: 0.001 s
% 0.16/2.21 % (2211182)Peak memory usage: 87 MB
% 0.16/2.21 % (2211182)Instructions burned: 1 (million)
% 0.16/2.21 % (2211151)Refutation found. Thanks to Tanya!
% 0.16/2.21 % SZS status Unsatisfiable for theBenchmark
% 0.16/2.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.21 % (2211151)------------------------------
% 0.16/2.21 % (2211151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.21 % (2211151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.21 % (2211151)CaDiCaL version: 2.1.3
% 0.16/2.21 % (2211151)Termination reason: Refutation
% 0.16/2.21 % (2211151)Time elapsed: 0.690 s
% 0.16/2.21 % (2211151)Peak memory usage: 129 MB
% 0.16/2.21 % (2211151)Instructions burned: 979 (million)
% 0.16/2.21 % (2211151)------------------------------
% 0.16/2.21 % (2211151)------------------------------
% 0.16/2.21 % (2211145)Success in time 1.154 s
% 0.16/2.21 % Vampire exiting
%------------------------------------------------------------------------------