%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU147+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n026.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 12:47:25 PM UTC 2026
% Result : Theorem 5.32s 1.63s
% Output : Refutation 5.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 47 ( 18 unt; 1 def)
% Number of atoms : 138 ( 64 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 149 ( 58 ~; 67 |; 18 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 59 ( 1 sgn 55 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1] :
( X1 = singleton(X0)
<=> ! [X2] :
( in(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tarski) ).
fof(f9,axiom,
! [X0,X1] :
( X1 = powerset(X0)
<=> ! [X2] :
( in(X2,X1)
<=> subset(X2,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
fof(f37,axiom,
! [X0,X1] : subset(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f44,conjecture,
powerset(empty_set) = singleton(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_zfmisc_1) ).
fof(f45,negated_conjecture,
powerset(empty_set) != singleton(empty_set),
inference(negated_conjecture,[status(cth)],[f44]) ).
fof(f57,axiom,
! [X0] :
( subset(X0,empty_set)
=> X0 = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_xboole_1) ).
fof(f65,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f75,plain,
! [X0] : subset(X0,X0),
inference(rectify,[],[f37]) ).
fof(f76,plain,
powerset(empty_set) != singleton(empty_set),
inference(flattening,[],[f45]) ).
fof(f97,plain,
! [X0] :
( X0 = empty_set
| ~ subset(X0,empty_set) ),
inference(ennf_transformation,[],[f57]) ).
fof(f110,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ in(X2,X1) ) )
| singleton(X0) != X1 ) ),
inference(nnf_transformation,[],[f7]) ).
fof(f111,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ? [X2] :
( ( X0 != X2
| ~ in(X2,X1) )
& ( X2 = X0
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(rectify,[],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( ( X1 = singleton(X0)
| ( ( sK0(X0,X1) != X0
| ~ in(sK0(X0,X1),X1) )
& ( sK0(X0,X1) = X0
| in(sK0(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ in(X3,X1) ) )
| singleton(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f111]) ).
fof(f116,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X2] :
( ( in(X2,X1)
| ~ subset(X2,X0) )
& ( subset(X2,X0)
| ~ in(X2,X1) ) )
| powerset(X0) != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f117,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ? [X2] :
( ( ~ subset(X2,X0)
| ~ in(X2,X1) )
& ( subset(X2,X0)
| in(X2,X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(rectify,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ( X1 = powerset(X0)
| ( ( ~ subset(sK2(X0,X1),X0)
| ~ in(sK2(X0,X1),X1) )
& ( subset(sK2(X0,X1),X0)
| in(sK2(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( in(X3,X1)
| ~ subset(X3,X0) )
& ( subset(X3,X0)
| ~ in(X3,X1) ) )
| powerset(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f117]) ).
fof(f163,plain,
! [X0,X1] :
( singleton(X0) = X1
| sK0(X0,X1) = X0
| in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f164,plain,
! [X0,X1] :
( singleton(X0) = X1
| sK0(X0,X1) != X0
| ~ in(sK0(X0,X1),X1) ),
inference(cnf_transformation,[],[f112]) ).
fof(f167,plain,
! [X3,X0,X1] :
( subset(X3,X0)
| ~ in(X3,X1)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f168,plain,
! [X3,X0,X1] :
( in(X3,X1)
| ~ subset(X3,X0)
| powerset(X0) != X1 ),
inference(cnf_transformation,[],[f118]) ).
fof(f220,plain,
! [X0] : subset(X0,X0),
inference(cnf_transformation,[],[f75]) ).
fof(f227,plain,
powerset(empty_set) != singleton(empty_set),
inference(cnf_transformation,[],[f76]) ).
fof(f243,plain,
! [X0] :
( ~ subset(X0,empty_set)
| empty_set = X0 ),
inference(cnf_transformation,[],[f97]) ).
fof(f252,plain,
! [X0] : singleton(X0) = unordered_pair(X0,X0),
inference(cnf_transformation,[],[f65]) ).
fof(f261,plain,
! [X0,X1] :
( ~ in(sK0(X0,X1),X1)
| sK0(X0,X1) != X0
| unordered_pair(X0,X0) = X1 ),
inference(definition_unfolding,[],[f164,f252]) ).
fof(f262,plain,
! [X0,X1] :
( in(sK0(X0,X1),X1)
| sK0(X0,X1) = X0
| unordered_pair(X0,X0) = X1 ),
inference(definition_unfolding,[],[f163,f252]) ).
fof(f283,plain,
powerset(empty_set) != unordered_pair(empty_set,empty_set),
inference(definition_unfolding,[],[f227,f252]) ).
fof(f295,plain,
! [X3,X0] :
( ~ subset(X3,X0)
| in(X3,powerset(X0)) ),
inference(equality_resolution,[],[f168]) ).
fof(f296,plain,
! [X3,X0] :
( ~ in(X3,powerset(X0))
| subset(X3,X0) ),
inference(equality_resolution,[],[f167]) ).
fof(f457,plain,
! [X0] : in(X0,powerset(X0)),
inference(resolution,[],[f220,f295]) ).
fof(f559,plain,
! [X0,X1] :
( subset(sK0(X0,powerset(X1)),X1)
| unordered_pair(X0,X0) = powerset(X1)
| sK0(X0,powerset(X1)) = X0 ),
inference(resolution,[],[f262,f296]) ).
fof(f957,plain,
! [X0] :
( powerset(empty_set) = unordered_pair(X0,X0)
| sK0(X0,powerset(empty_set)) = X0
| empty_set = sK0(X0,powerset(empty_set)) ),
inference(resolution,[],[f559,f243]) ).
fof(f966,plain,
( powerset(empty_set) != powerset(empty_set)
| empty_set = sK0(empty_set,powerset(empty_set))
| empty_set = sK0(empty_set,powerset(empty_set)) ),
inference(superposition,[],[f283,f957]) ).
fof(f1033,plain,
( powerset(empty_set) != powerset(empty_set)
| empty_set = sK0(empty_set,powerset(empty_set)) ),
inference(duplicate_literal_removal,[],[f966]) ).
fof(f1034,plain,
empty_set = sK0(empty_set,powerset(empty_set)),
inference(trivial_inequality_removal,[],[f1033]) ).
fof(f1062,definition,
( spl13_15
<=> empty_set = sK0(empty_set,powerset(empty_set)) ),
introduced(definition,[new_symbols(definition,[spl13_15])],[avatar_definition]) ).
fof(f1063,plain,
( empty_set = sK0(empty_set,powerset(empty_set))
| ~ spl13_15 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1069,plain,
spl13_15,
inference(avatar_split_clause,[],[f1034,f1062]) ).
fof(f1070,plain,
( ~ in(empty_set,powerset(empty_set))
| empty_set != empty_set
| powerset(empty_set) = unordered_pair(empty_set,empty_set)
| ~ spl13_15 ),
inference(superposition,[],[f261,f1063]) ).
fof(f1071,plain,
( ~ in(empty_set,powerset(empty_set))
| powerset(empty_set) = unordered_pair(empty_set,empty_set)
| ~ spl13_15 ),
inference(trivial_inequality_removal,[],[f1070]) ).
fof(f1072,plain,
( powerset(empty_set) = unordered_pair(empty_set,empty_set)
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f1071,f457]) ).
fof(f1073,plain,
( $false
| ~ spl13_15 ),
inference(forward_subsumption_resolution,[],[f1072,f283]) ).
fof(f1074,plain,
~ spl13_15,
inference(avatar_contradiction_clause,[],[f1073]) ).
cnf(s13,plain,
spl13_15,
inference(sat_conversion,[],[f1069]) ).
cnf(s14,plain,
~ spl13_15,
inference(sat_conversion,[],[f1074]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s13,s14]) ).
fof(f1075,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SEU147+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n026.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Mon Sep 28 03:46:57 UTC 2026
% 0.15/0.38 % CPUTime :
% 0.15/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 Running first-order theorem proving
% 0.15/0.42 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
% 4.46/1.54 % (3441794)Detected formulas, will run a generic FOF schedule.
% 4.46/1.54 % (3441800)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=852737580:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.46/1.54 % (3441801)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=1774220407:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.46/1.54 % (3441805)dis-21_1_sil=8000:lcm=predicate:random_seed=2383506580: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)
% 4.46/1.54 % (3441799)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=903257744:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.46/1.54 % (3441802)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1138818780:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.46/1.54 % (3441803)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1916460644:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.46/1.54 % (3441804)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1537182844:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.46/1.54 % (3441802)Instruction limit reached!
% 4.46/1.54 % (3441802)------------------------------
% 4.46/1.54 % (3441802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.54 % (3441802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.54 % (3441802)CaDiCaL version: 2.1.3
% 4.46/1.54 % (3441802)Termination reason: Instruction limit
% 4.46/1.54 % (3441802)Termination phase: Saturation
% 4.46/1.54 % (3441802)Time elapsed: 0.071 s
% 4.46/1.54 % (3441802)Peak memory usage: 89 MB
% 4.46/1.54 % (3441802)Instructions burned: 109 (million)
% 4.46/1.54 % (3441803)Instruction limit reached!
% 4.46/1.54 % (3441803)------------------------------
% 4.46/1.54 % (3441803)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.54 % (3441803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.54 % (3441803)CaDiCaL version: 2.1.3
% 4.46/1.54 % (3441803)Termination reason: Instruction limit
% 4.46/1.54 % (3441803)Termination phase: Saturation
% 4.46/1.54 % (3441803)Time elapsed: 0.076 s
% 4.46/1.54 % (3441803)Peak memory usage: 89 MB
% 4.46/1.54 % (3441803)Instructions burned: 120 (million)
% 4.46/1.54 % (3441805)Instruction limit reached!
% 4.46/1.54 % (3441805)------------------------------
% 4.46/1.54 % (3441805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.54 % (3441805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.54 % (3441805)CaDiCaL version: 2.1.3
% 4.46/1.54 % (3441805)Termination reason: Instruction limit
% 4.46/1.54 % (3441805)Termination phase: Saturation
% 4.46/1.54 % (3441805)Time elapsed: 0.082 s
% 4.46/1.54 % (3441805)Peak memory usage: 89 MB
% 4.46/1.54 % (3441805)Instructions burned: 129 (million)
% 4.46/1.54 % (3441804)Instruction limit reached!
% 4.46/1.54 % (3441804)------------------------------
% 4.46/1.54 % (3441804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.46/1.54 % (3441804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.46/1.54 % (3441804)CaDiCaL version: 2.1.3
% 4.46/1.54 % (3441804)Termination reason: Instruction limit
% 4.46/1.54 % (3441804)Termination phase: Saturation
% 4.46/1.54 % (3441804)Time elapsed: 0.097 s
% 4.46/1.54 % (3441804)Peak memory usage: 90 MB
% 4.46/1.54 % (3441804)Instructions burned: 139 (million)
% 4.46/1.54 % (3441815)lrs+1011_1_sil=32000:sp=occurrence:random_seed=604074439:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.46/1.54 % (3441813)lrs+10_1_sil=8000:sp=occurrence:random_seed=3919152503:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.46/1.54 % (3441814)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3274081303:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.46/1.54 % (3441816)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=3325955857:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.46/1.54 % (3441814)Instruction limit reached!
% 5.32/1.63 % (3441814)------------------------------
% 5.32/1.63 % (3441814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.63 % (3441814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.63 % (3441814)CaDiCaL version: 2.1.3
% 5.32/1.63 % (3441814)Termination reason: Instruction limit
% 5.32/1.63 % (3441814)Termination phase: Saturation
% 5.32/1.63 % (3441814)Time elapsed: 0.086 s
% 5.32/1.63 % (3441814)Peak memory usage: 90 MB
% 5.32/1.63 % (3441814)Instructions burned: 157 (million)
% 5.32/1.63 % (3441816)Instruction limit reached!
% 5.32/1.63 % (3441816)------------------------------
% 5.32/1.63 % (3441816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.63 % (3441816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.63 % (3441816)CaDiCaL version: 2.1.3
% 5.32/1.63 % (3441816)Termination reason: Instruction limit
% 5.32/1.63 % (3441816)Termination phase: Saturation
% 5.32/1.63 % (3441816)Time elapsed: 0.135 s
% 5.32/1.63 % (3441816)Peak memory usage: 91 MB
% 5.32/1.63 % (3441816)Instructions burned: 248 (million)
% 5.32/1.63 % (3441800)First to succeed.
% 5.32/1.63 % (3441800)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3441794"
% 5.32/1.63 % (3441813)Instruction limit reached!
% 5.32/1.63 % (3441813)------------------------------
% 5.32/1.63 % (3441813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.63 % (3441813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.63 % (3441813)CaDiCaL version: 2.1.3
% 5.32/1.63 % (3441813)Termination reason: Instruction limit
% 5.32/1.63 % (3441813)Termination phase: Saturation
% 5.32/1.63 % (3441813)Time elapsed: 0.181 s
% 5.32/1.63 % (3441813)Peak memory usage: 91 MB
% 5.32/1.63 % (3441813)Instructions burned: 286 (million)
% 5.32/1.63 % (3441815)Instruction limit reached!
% 5.32/1.63 % (3441815)------------------------------
% 5.32/1.63 % (3441815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.63 % (3441815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.63 % (3441815)CaDiCaL version: 2.1.3
% 5.32/1.63 % (3441815)Termination reason: Instruction limit
% 5.32/1.63 % (3441815)Termination phase: Saturation
% 5.32/1.63 % (3441815)Time elapsed: 0.218 s
% 5.32/1.63 % (3441815)Peak memory usage: 92 MB
% 5.32/1.63 % (3441815)Instructions burned: 325 (million)
% 5.32/1.63 % (3441821)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=118738295:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 5.32/1.63 % (3441822)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4246977655:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 5.32/1.63 % (3441823)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1172247633:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 5.32/1.63 % (3441800)Refutation found. Thanks to Tanya!
% 5.32/1.63 % SZS status Theorem for theBenchmark
% 5.32/1.63 % SZS output start Proof for theBenchmark
% See solution above
% 5.32/1.63 % (3441800)------------------------------
% 5.32/1.63 % (3441800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.32/1.63 % (3441800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.32/1.63 % (3441800)CaDiCaL version: 2.1.3
% 5.32/1.63 % (3441800)Termination reason: Refutation
% 5.32/1.63 % (3441800)Time elapsed: 0.412 s
% 5.32/1.63 % (3441800)Peak memory usage: 131 MB
% 5.32/1.63 % (3441800)Instructions burned: 1062 (million)
% 5.32/1.63 % (3441800)------------------------------
% 5.32/1.63 % (3441800)------------------------------
% 5.32/1.63 % (3441794)Success in time 0.677 s
% 5.32/1.63 % Vampire exiting
%------------------------------------------------------------------------------