%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SEU328+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/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 12:48:22 PM UTC 2026
% Result : Theorem 4.90s 1.66s
% Output : Refutation 4.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 9
% Syntax : Number of formulae : 50 ( 20 unt; 0 def)
% Number of atoms : 96 ( 55 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 86 ( 40 ~; 23 |; 10 &)
% ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 58 ( 54 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f160,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(union_of_subsets(X0,X1),powerset(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
fof(f167,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> element(complements_of_subsets(X0,X1),powerset(powerset(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k7_setfam_1) ).
fof(f256,axiom,
! [X0,X1] :
( element(X1,powerset(X0))
=> subset_complement(X0,subset_complement(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
fof(f258,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k7_setfam_1) ).
fof(f313,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> union_of_subsets(X0,X1) = union(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
fof(f315,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> meet_of_subsets(X0,X1) = set_meet(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_setfam_1) ).
fof(f360,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( ~ ( X1 != empty_set
& complements_of_subsets(X0,X1) = empty_set )
& ~ ( complements_of_subsets(X0,X1) != empty_set
& X1 = empty_set ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t10_tops_2) ).
fof(f369,axiom,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( X1 != empty_set
=> meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,union_of_subsets(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tops_2) ).
fof(f372,conjecture,
! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( X1 != empty_set
=> union_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,meet_of_subsets(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t12_tops_2) ).
fof(f373,negated_conjecture,
~ ! [X0,X1] :
( element(X1,powerset(powerset(X0)))
=> ( X1 != empty_set
=> union_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,meet_of_subsets(X0,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f372]) ).
fof(f549,plain,
? [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) != subset_complement(X0,meet_of_subsets(X0,X1))
& X1 != empty_set
& element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f373]) ).
fof(f550,plain,
? [X0,X1] :
( union_of_subsets(X0,complements_of_subsets(X0,X1)) != subset_complement(X0,meet_of_subsets(X0,X1))
& X1 != empty_set
& element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f549]) ).
fof(f564,plain,
! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,union_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f369]) ).
fof(f565,plain,
! [X0,X1] :
( meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,union_of_subsets(X0,X1))
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(flattening,[],[f564]) ).
fof(f566,plain,
! [X0,X1] :
( union_of_subsets(X0,X1) = union(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f313]) ).
fof(f567,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f160]) ).
fof(f572,plain,
! [X0,X1] :
( subset_complement(X0,subset_complement(X0,X1)) = X1
| ~ element(X1,powerset(X0)) ),
inference(ennf_transformation,[],[f256]) ).
fof(f577,plain,
! [X0,X1] :
( ( ( empty_set = X1
| empty_set != complements_of_subsets(X0,X1) )
& ( empty_set = complements_of_subsets(X0,X1)
| empty_set != X1 ) )
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f360]) ).
fof(f578,plain,
! [X0,X1] :
( complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f258]) ).
fof(f579,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f167]) ).
fof(f581,plain,
! [X0,X1] :
( meet_of_subsets(X0,X1) = set_meet(X1)
| ~ element(X1,powerset(powerset(X0))) ),
inference(ennf_transformation,[],[f315]) ).
fof(f583,plain,
( union_of_subsets(sK0,complements_of_subsets(sK0,sK1)) != subset_complement(sK0,meet_of_subsets(sK0,sK1))
& empty_set != sK1
& element(sK1,powerset(powerset(sK0))) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f550]) ).
fof(f594,plain,
element(sK1,powerset(powerset(sK0))),
inference(cnf_transformation,[],[f583]) ).
fof(f595,plain,
empty_set != sK1,
inference(cnf_transformation,[],[f583]) ).
fof(f596,plain,
union_of_subsets(sK0,complements_of_subsets(sK0,sK1)) != subset_complement(sK0,meet_of_subsets(sK0,sK1)),
inference(cnf_transformation,[],[f583]) ).
fof(f614,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| empty_set = X1
| meet_of_subsets(X0,complements_of_subsets(X0,X1)) = subset_complement(X0,union_of_subsets(X0,X1)) ),
inference(cnf_transformation,[],[f565]) ).
fof(f615,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| union_of_subsets(X0,X1) = union(X1) ),
inference(cnf_transformation,[],[f566]) ).
fof(f616,plain,
! [X0,X1] :
( element(union_of_subsets(X0,X1),powerset(X0))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f567]) ).
fof(f619,plain,
! [X0,X1] :
( ~ element(X1,powerset(X0))
| subset_complement(X0,subset_complement(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f572]) ).
fof(f624,plain,
! [X0,X1] :
( empty_set != complements_of_subsets(X0,X1)
| empty_set = X1
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f577]) ).
fof(f625,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| complements_of_subsets(X0,complements_of_subsets(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f578]) ).
fof(f626,plain,
! [X0,X1] :
( element(complements_of_subsets(X0,X1),powerset(powerset(X0)))
| ~ element(X1,powerset(powerset(X0))) ),
inference(cnf_transformation,[],[f579]) ).
fof(f632,plain,
! [X0,X1] :
( ~ element(X1,powerset(powerset(X0)))
| meet_of_subsets(X0,X1) = set_meet(X1) ),
inference(cnf_transformation,[],[f581]) ).
fof(f695,plain,
meet_of_subsets(sK0,sK1) = set_meet(sK1),
inference(unit_resulting_resolution,[],[f632,f594]) ).
fof(f714,plain,
sK1 = complements_of_subsets(sK0,complements_of_subsets(sK0,sK1)),
inference(unit_resulting_resolution,[],[f625,f594]) ).
fof(f720,plain,
element(complements_of_subsets(sK0,sK1),powerset(powerset(sK0))),
inference(unit_resulting_resolution,[],[f626,f594]) ).
fof(f726,plain,
empty_set != complements_of_subsets(sK0,sK1),
inference(unit_resulting_resolution,[],[f624,f595,f594]) ).
fof(f770,plain,
meet_of_subsets(sK0,complements_of_subsets(sK0,complements_of_subsets(sK0,sK1))) = subset_complement(sK0,union_of_subsets(sK0,complements_of_subsets(sK0,sK1))),
inference(unit_resulting_resolution,[],[f614,f726,f720]) ).
fof(f771,plain,
union_of_subsets(sK0,complements_of_subsets(sK0,sK1)) = union(complements_of_subsets(sK0,sK1)),
inference(unit_resulting_resolution,[],[f615,f720]) ).
fof(f772,plain,
element(union_of_subsets(sK0,complements_of_subsets(sK0,sK1)),powerset(sK0)),
inference(unit_resulting_resolution,[],[f616,f720]) ).
fof(f783,plain,
meet_of_subsets(sK0,sK1) = subset_complement(sK0,union_of_subsets(sK0,complements_of_subsets(sK0,sK1))),
inference(forward_demodulation,[],[f770,f714]) ).
fof(f784,plain,
element(union(complements_of_subsets(sK0,sK1)),powerset(sK0)),
inference(forward_demodulation,[],[f772,f771]) ).
fof(f791,plain,
meet_of_subsets(sK0,sK1) = subset_complement(sK0,union(complements_of_subsets(sK0,sK1))),
inference(forward_demodulation,[],[f783,f771]) ).
fof(f794,plain,
set_meet(sK1) = subset_complement(sK0,union(complements_of_subsets(sK0,sK1))),
inference(forward_demodulation,[],[f791,f695]) ).
fof(f840,plain,
union(complements_of_subsets(sK0,sK1)) = subset_complement(sK0,subset_complement(sK0,union(complements_of_subsets(sK0,sK1)))),
inference(unit_resulting_resolution,[],[f619,f784]) ).
fof(f843,plain,
subset_complement(sK0,set_meet(sK1)) = union(complements_of_subsets(sK0,sK1)),
inference(forward_demodulation,[],[f840,f794]) ).
fof(f1337,plain,
subset_complement(sK0,meet_of_subsets(sK0,sK1)) != union(complements_of_subsets(sK0,sK1)),
inference(superposition,[],[f596,f771]) ).
fof(f1339,plain,
subset_complement(sK0,meet_of_subsets(sK0,sK1)) != subset_complement(sK0,set_meet(sK1)),
inference(forward_demodulation,[],[f1337,f843]) ).
fof(f1375,plain,
subset_complement(sK0,set_meet(sK1)) != subset_complement(sK0,set_meet(sK1)),
inference(forward_demodulation,[],[f1339,f695]) ).
fof(f1376,plain,
$false,
inference(trivial_inequality_removal,[],[f1375]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEU328+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 28 04:41:40 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 3.45/1.47 % (2028853)Detected formulas, will run a generic FOF schedule.
% 3.45/1.47 % (2028863)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=905339462:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.45/1.47 % (2028861)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=498951820:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.45/1.47 % (2028858)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=3900857599:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.45/1.47 % (2028859)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=2588533051:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.45/1.47 % (2028860)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=805597202:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.45/1.47 % (2028864)dis-21_1_sil=8000:lcm=predicate:random_seed=2475765312: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)
% 3.45/1.47 % (2028862)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2868947017:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.45/1.47 % (2028863)Instruction limit reached!
% 3.45/1.47 % (2028863)------------------------------
% 3.45/1.47 % (2028863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.47 % (2028863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.47 % (2028863)CaDiCaL version: 2.1.3
% 3.45/1.47 % (2028863)Termination reason: Instruction limit
% 3.45/1.47 % (2028863)Termination phase: Saturation
% 3.45/1.47 % (2028863)Time elapsed: 0.053 s
% 3.45/1.47 % (2028863)Peak memory usage: 91 MB
% 3.45/1.47 % (2028863)Instructions burned: 140 (million)
% 3.45/1.47 % (2028861)Instruction limit reached!
% 3.45/1.47 % (2028861)------------------------------
% 3.45/1.47 % (2028861)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.47 % (2028861)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.47 % (2028861)CaDiCaL version: 2.1.3
% 3.45/1.47 % (2028861)Termination reason: Instruction limit
% 3.45/1.47 % (2028861)Termination phase: Saturation
% 3.45/1.47 % (2028861)Time elapsed: 0.062 s
% 3.45/1.47 % (2028861)Peak memory usage: 91 MB
% 3.45/1.47 % (2028861)Instructions burned: 109 (million)
% 3.45/1.47 % (2028864)Instruction limit reached!
% 3.45/1.47 % (2028864)------------------------------
% 3.45/1.47 % (2028864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.47 % (2028864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.47 % (2028864)CaDiCaL version: 2.1.3
% 3.45/1.47 % (2028864)Termination reason: Instruction limit
% 3.45/1.47 % (2028864)Termination phase: Saturation
% 3.45/1.47 % (2028864)Time elapsed: 0.066 s
% 3.45/1.47 % (2028864)Peak memory usage: 90 MB
% 3.45/1.47 % (2028864)Instructions burned: 130 (million)
% 3.45/1.47 % (2028862)Instruction limit reached!
% 3.45/1.47 % (2028862)------------------------------
% 3.45/1.47 % (2028862)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.45/1.47 % (2028862)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.45/1.47 % (2028862)CaDiCaL version: 2.1.3
% 3.45/1.47 % (2028862)Termination reason: Instruction limit
% 3.45/1.47 % (2028862)Termination phase: Saturation
% 3.45/1.47 % (2028862)Time elapsed: 0.079 s
% 3.45/1.47 % (2028862)Peak memory usage: 91 MB
% 3.45/1.47 % (2028862)Instructions burned: 121 (million)
% 3.45/1.47 % (2028872)lrs+10_1_sil=8000:sp=occurrence:random_seed=1216291573:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.45/1.47 % (2028873)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3113215235:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.45/1.47 % (2028874)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3463167049:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.45/1.47 % (2028873)First to succeed.
% 3.45/1.47 % (2028873)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2028853"
% 3.45/1.47 % (2028872)Instruction limit reached!
% 3.45/1.47 % (2028872)------------------------------
% 3.45/1.47 % (2028872)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.66 % (2028872)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.66 % (2028872)CaDiCaL version: 2.1.3
% 4.90/1.66 % (2028872)Termination reason: Instruction limit
% 4.90/1.66 % (2028872)Termination phase: Saturation
% 4.90/1.66 % (2028872)Time elapsed: 0.103 s
% 4.90/1.66 % (2028872)Peak memory usage: 95 MB
% 4.90/1.66 % (2028872)Instructions burned: 287 (million)
% 4.90/1.66 % (2028875)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=811357979:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 4.90/1.66 % (2028879)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1991186832:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 4.90/1.66 % (2028875)Instruction limit reached!
% 4.90/1.66 % (2028875)------------------------------
% 4.90/1.66 % (2028875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.66 % (2028875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.66 % (2028875)CaDiCaL version: 2.1.3
% 4.90/1.66 % (2028875)Termination reason: Instruction limit
% 4.90/1.66 % (2028875)Termination phase: Saturation
% 4.90/1.66 % (2028875)Time elapsed: 0.152 s
% 4.90/1.66 % (2028875)Peak memory usage: 93 MB
% 4.90/1.66 % (2028875)Instructions burned: 249 (million)
% 4.90/1.66 % (2028879)Instruction limit reached!
% 4.90/1.66 % (2028879)------------------------------
% 4.90/1.66 % (2028879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.66 % (2028879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.66 % (2028879)CaDiCaL version: 2.1.3
% 4.90/1.66 % (2028879)Termination reason: Instruction limit
% 4.90/1.66 % (2028879)Termination phase: Saturation
% 4.90/1.66 % (2028879)Time elapsed: 0.098 s
% 4.90/1.66 % (2028879)Peak memory usage: 92 MB
% 4.90/1.66 % (2028879)Instructions burned: 296 (million)
% 4.90/1.66 % (2028874)Instruction limit reached!
% 4.90/1.66 % (2028874)------------------------------
% 4.90/1.66 % (2028874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.66 % (2028874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.66 % (2028874)CaDiCaL version: 2.1.3
% 4.90/1.66 % (2028874)Termination reason: Instruction limit
% 4.90/1.66 % (2028874)Termination phase: Saturation
% 4.90/1.66 % (2028874)Time elapsed: 0.226 s
% 4.90/1.66 % (2028874)Peak memory usage: 95 MB
% 4.90/1.66 % (2028874)Instructions burned: 326 (million)
% 4.90/1.66 % (2028873)Refutation found. Thanks to Tanya!
% 4.90/1.66 % SZS status Theorem for theBenchmark
% 4.90/1.66 % SZS output start Proof for theBenchmark
% See solution above
% 4.90/1.67 % (2028873)------------------------------
% 4.90/1.67 % (2028873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.67 % (2028873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.67 % (2028873)CaDiCaL version: 2.1.3
% 4.90/1.67 % (2028873)Termination reason: Refutation
% 4.90/1.67 % (2028873)Time elapsed: 0.029 s
% 4.90/1.67 % (2028873)Peak memory usage: 90 MB
% 4.90/1.67 % (2028873)Instructions burned: 42 (million)
% 4.90/1.67 % (2028873)------------------------------
% 4.90/1.67 % (2028873)------------------------------
% 4.90/1.67 % (2028853)Success in time 0.62 s
% 4.90/1.67 % Vampire exiting
%------------------------------------------------------------------------------