%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 01:00:14 PM UTC 2026
% Result : ContradictoryAxioms 3.00s 1.31s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 50 ( 13 unt; 2 def)
% Number of atoms : 242 ( 0 equ)
% Maximal formula atoms : 20 ( 4 avg)
% Number of connectives : 295 ( 103 ~; 101 |; 77 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 117 ( 110 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f3,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(f6,axiom,
? [X0,X1,X2,X3] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X0)
& iext(uri_owl_intersectionOf,X0,X2)
& iext(uri_rdf_first,X2,uri_ex_A)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,X1)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_owl_complementOf,X1,uri_ex_A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
fof(f8,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f3]) ).
fof(f10,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f9]) ).
fof(f11,definition,
! [X0,X2,X4] :
( sP0(X0,X2,X4)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X4,X2,X0,X1] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> sP0(X0,X2,X4) )
| ~ sP1(X4,X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4] :
( sP1(X4,X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(definition_folding,[],[f10,f12,f11]) ).
fof(f14,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f15,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f8]) ).
fof(f16,plain,
! [X4,X2,X0,X1] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ sP0(X0,X2,X4) )
& ( sP0(X0,X2,X4)
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ sP1(X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ( ( iext(uri_owl_intersectionOf,X2,X3)
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X2,X3) ) )
| ~ sP1(X0,X1,X2,X3) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0,X2,X4] :
( ( sP0(X0,X2,X4)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ sP0(X0,X2,X4) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f19,plain,
! [X0,X2,X4] :
( ( sP0(X0,X2,X4)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ sP0(X0,X2,X4) ) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ? [X3] :
( ( ~ icext(X1,X3)
| ~ icext(X2,X3)
| ~ icext(X0,X3) )
& ( ( icext(X1,X3)
& icext(X2,X3) )
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X4] :
( ( icext(X0,X4)
| ~ icext(X1,X4)
| ~ icext(X2,X4) )
& ( ( icext(X1,X4)
& icext(X2,X4) )
| ~ icext(X0,X4) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ( ( ~ icext(X1,sK2(X0,X1,X2))
| ~ icext(X2,sK2(X0,X1,X2))
| ~ icext(X0,sK2(X0,X1,X2)) )
& ( ( icext(X1,sK2(X0,X1,X2))
& icext(X2,sK2(X0,X1,X2)) )
| icext(X0,sK2(X0,X1,X2)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X4] :
( ( icext(X0,X4)
| ~ icext(X1,X4)
| ~ icext(X2,X4) )
& ( ( icext(X1,X4)
& icext(X2,X4) )
| ~ icext(X0,X4) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f20]) ).
fof(f22,plain,
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,sK3)
& iext(uri_owl_intersectionOf,sK3,sK5)
& iext(uri_rdf_first,sK5,uri_ex_A)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK6,sK4)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_owl_complementOf,sK4,uri_ex_A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f6]) ).
fof(f23,plain,
! [X0,X1] :
( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f24,plain,
! [X0,X1] :
( ~ icext(X1,X0)
| iext(uri_rdf_type,X0,X1) ),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ icext(X1,X2)
| ~ icext(X0,X2)
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X2,X3)
| sP0(X2,X1,X0)
| ~ sP1(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X0,X4)
| icext(X2,X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f32,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X0,X4)
| icext(X1,X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X4] :
( sP1(X4,X2,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(cnf_transformation,[],[f13]) ).
fof(f42,plain,
iext(uri_owl_complementOf,sK4,uri_ex_A),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
iext(uri_rdf_first,sK6,sK4),
inference(cnf_transformation,[],[f22]) ).
fof(f45,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
iext(uri_rdf_first,sK5,uri_ex_A),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
iext(uri_owl_intersectionOf,sK3,sK5),
inference(cnf_transformation,[],[f22]) ).
fof(f48,plain,
iext(uri_rdf_type,uri_ex_w,sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X2)
| ~ icext(X0,X1)
| ~ iext(uri_rdf_type,X1,X2) ),
inference(resolution,[],[f25,f23]) ).
fof(f57,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_A)
| ~ icext(sK4,X0) ),
inference(resolution,[],[f52,f42]) ).
fof(f58,plain,
! [X0,X1] :
( ~ sP1(X1,X0,sK3,sK5)
| sP0(sK3,X0,X1) ),
inference(resolution,[],[f29,f47]) ).
fof(f59,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,sK5,X2)
| ~ iext(uri_rdf_first,sK5,X0)
| sP0(sK3,X0,X1)
| ~ iext(uri_rdf_first,X2,X1)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil) ),
inference(resolution,[],[f58,f40]) ).
fof(f60,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK5,X0)
| sP0(sK3,X0,X1)
| ~ iext(uri_rdf_first,sK6,X1)
| ~ iext(uri_rdf_rest,sK6,uri_rdf_nil) ),
inference(resolution,[],[f59,f45]) ).
fof(f61,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK6,X1)
| sP0(sK3,X0,X1)
| ~ iext(uri_rdf_first,sK5,X0) ),
inference(forward_subsumption_resolution,[],[f60,f43]) ).
fof(f65,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK5,X0)
| sP0(sK3,X0,sK4) ),
inference(resolution,[],[f61,f44]) ).
fof(f69,plain,
sP0(sK3,uri_ex_A,sK4),
inference(resolution,[],[f65,f46]) ).
fof(f174,plain,
! [X0] :
( ~ icext(sK3,X0)
| icext(uri_ex_A,X0) ),
inference(resolution,[],[f69,f32]) ).
fof(f175,plain,
! [X0] :
( ~ icext(sK3,X0)
| icext(sK4,X0) ),
inference(resolution,[],[f69,f31]) ).
fof(f197,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,sK3)
| icext(uri_ex_A,X0) ),
inference(resolution,[],[f174,f23]) ).
fof(f237,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,sK3)
| icext(sK4,X0) ),
inference(resolution,[],[f175,f23]) ).
fof(f268,plain,
icext(uri_ex_A,uri_ex_w),
inference(resolution,[],[f197,f48]) ).
fof(f276,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_A),
inference(resolution,[],[f268,f24]) ).
fof(f280,plain,
~ icext(sK4,uri_ex_w),
inference(resolution,[],[f276,f57]) ).
fof(f295,plain,
icext(sK4,uri_ex_w),
inference(resolution,[],[f237,f48]) ).
fof(f300,plain,
$false,
inference(forward_subsumption_resolution,[],[f295,f280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:12:48 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 3.00/1.31 % (179884)Detected formulas, will run a generic FOF schedule.
% 3.00/1.31 % (179895)dis-21_1_sil=8000:lcm=predicate:random_seed=3791678231: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)
% 3.00/1.31 % (179889)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=1985612396:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.00/1.31 % (179893)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2147662771:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.00/1.31 % (179892)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1524415172:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.00/1.31 % (179891)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=663091445:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.00/1.31 % (179890)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=895709945:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.00/1.31 % (179894)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3803893012:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.00/1.31 % (179893)Refutation not found, incomplete strategy
% 3.00/1.31 % (179893)------------------------------
% 3.00/1.31 % (179893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.31 % (179893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.31 % (179893)CaDiCaL version: 2.1.3
% 3.00/1.31 % (179893)Termination reason: Refutation not found, incomplete strategy
% 3.00/1.31 % (179893)Time elapsed: 0.0000 s
% 3.00/1.31 % (179893)Peak memory usage: 86 MB
% 3.00/1.31 % (179892)Refutation not found, incomplete strategy
% 3.00/1.31 % (179892)------------------------------
% 3.00/1.31 % (179892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.31 % (179892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.31 % (179892)CaDiCaL version: 2.1.3
% 3.00/1.31 % (179892)Termination reason: Refutation not found, incomplete strategy
% 3.00/1.31 % (179892)Time elapsed: 0.0000 s
% 3.00/1.31 % (179892)Peak memory usage: 87 MB
% 3.00/1.31 % (179894)First to succeed.
% 3.00/1.31 % (179895)Instruction limit reached!
% 3.00/1.31 % (179895)------------------------------
% 3.00/1.31 % (179895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.00/1.31 % (179895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/1.31 % (179895)CaDiCaL version: 2.1.3
% 3.00/1.31 % (179895)Termination reason: Instruction limit
% 3.00/1.31 % (179895)Termination phase: Saturation
% 3.00/1.31 % (179895)Time elapsed: 0.035 s
% 3.00/1.31 % (179895)Peak memory usage: 88 MB
% 3.00/1.31 % (179895)Instructions burned: 132 (million)
% 3.00/1.31 % (179894)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-179884"
% 3.00/1.31 % (179903)lrs+10_1_sil=8000:sp=occurrence:random_seed=2491244801:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.00/1.31 % (179903)Also succeeded, but the first one will report.
% 3.00/1.31 % (179893)------------------------------
% 3.00/1.31 % (179893)------------------------------
% 3.00/1.31 % (179892)------------------------------
% 3.00/1.31 % (179892)------------------------------
% 3.00/1.31 % (179894)Refutation found. Thanks to Tanya!
% 3.00/1.31 % SZS status ContradictoryAxioms for theBenchmark
% 3.00/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.48 % (179894)------------------------------
% 3.65/1.48 % (179894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.48 % (179894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.48 % (179894)CaDiCaL version: 2.1.3
% 3.65/1.48 % (179894)Termination reason: Refutation
% 3.65/1.48 % (179894)Time elapsed: 0.010 s
% 3.65/1.48 % (179894)Peak memory usage: 88 MB
% 3.65/1.48 % (179894)Instructions burned: 11 (million)
% 3.65/1.48 % (179894)------------------------------
% 3.65/1.48 % (179894)------------------------------
% 3.65/1.48 % (179884)Success in time 0.442 s
% 3.65/1.48 % Vampire exiting
%------------------------------------------------------------------------------