%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP027+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 02:33:54 PM UTC 2026
% Result : Theorem 2.98s 1.27s
% Output : Refutation 3.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 6
% Syntax : Number of formulae : 48 ( 17 unt; 2 def)
% Number of atoms : 163 ( 10 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 200 ( 85 ~; 72 |; 27 &)
% ( 1 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 2 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-3 aty)
% Number of variables : 40 ( 0 sgn 34 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2265,axiom,
! [X0,X1] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> v3_pre_topc(k1_tops_1(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_tops_1) ).
fof(f2402,axiom,
! [X0,X1] :
( ( l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tops_1) ).
fof(f3587,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X2,X0)
=> X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_tsp_2) ).
fof(f3589,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k1_tops_1(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X2))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_tsp_2) ).
fof(f3590,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tsp_2(X1,X0)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> k1_tops_1(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X2))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3589]) ).
fof(f3602,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_tops_1(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3590]) ).
fof(f3603,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_tops_1(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k1_tops_1(X0,X2)))
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& v1_tsp_2(X1,X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f3602]) ).
fof(f3627,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3587]) ).
fof(f3628,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3627]) ).
fof(f3651,plain,
! [X0,X1] :
( m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f2402]) ).
fof(f3652,plain,
! [X0,X1] :
( m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f3651]) ).
fof(f3671,plain,
! [X0,X1] :
( v3_pre_topc(k1_tops_1(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f2265]) ).
fof(f3672,plain,
! [X0,X1] :
( v3_pre_topc(k1_tops_1(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f3671]) ).
fof(f3717,plain,
( k1_tops_1(sK0,sK2) != k3_tex_4(sK0,k5_subset_1(u1_struct_0(sK0),sK1,k1_tops_1(sK0,sK2)))
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& v1_tsp_2(sK1,sK0)
& m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
& ~ v3_struct_0(sK0)
& v2_pre_topc(sK0)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f3603]) ).
fof(f3734,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f3717]) ).
fof(f3735,plain,
v2_pre_topc(sK0),
inference(cnf_transformation,[],[f3717]) ).
fof(f3736,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f3717]) ).
fof(f3737,plain,
m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f3717]) ).
fof(f3738,plain,
v1_tsp_2(sK1,sK0),
inference(cnf_transformation,[],[f3717]) ).
fof(f3739,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f3717]) ).
fof(f3740,plain,
k1_tops_1(sK0,sK2) != k3_tex_4(sK0,k5_subset_1(u1_struct_0(sK0),sK1,k1_tops_1(sK0,sK2))),
inference(cnf_transformation,[],[f3717]) ).
fof(f3758,plain,
! [X2,X0,X1] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3628]) ).
fof(f3778,plain,
! [X0,X1] :
( m1_subset_1(k1_tops_1(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f3652]) ).
fof(f3795,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_pre_topc(k1_tops_1(X0,X1),X0) ),
inference(cnf_transformation,[],[f3672]) ).
fof(f3824,definition,
~ sP8(k1_tops_1(sK0,sK2)),
introduced(definition,[new_symbols(definition,[sP8])],[inequality_splitting_name_introduction]) ).
fof(f3825,plain,
sP8(k3_tex_4(sK0,k5_subset_1(u1_struct_0(sK0),sK1,k1_tops_1(sK0,sK2)))),
inference(inequality_splitting,[],[f3740,f3824]) ).
fof(f3945,plain,
( ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0)
| v3_pre_topc(k1_tops_1(sK0,sK2),sK0) ),
inference(resolution,[],[f3739,f3795]) ).
fof(f3963,plain,
( ~ l1_pre_topc(sK0)
| v3_pre_topc(k1_tops_1(sK0,sK2),sK0) ),
inference(forward_subsumption_resolution,[],[f3945,f3735]) ).
fof(f3987,plain,
v3_pre_topc(k1_tops_1(sK0,sK2),sK0),
inference(forward_subsumption_resolution,[],[f3963,f3734]) ).
fof(f4039,plain,
( sP8(k1_tops_1(sK0,sK2))
| ~ v3_pre_topc(k1_tops_1(sK0,sK2),sK0)
| ~ m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_2(sK1,sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(superposition,[],[f3825,f3758]) ).
fof(f4046,plain,
( ~ v3_pre_topc(k1_tops_1(sK0,sK2),sK0)
| ~ m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_2(sK1,sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f4039,f3824]) ).
fof(f4051,plain,
( ~ m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_2(sK1,sK0)
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f4046,f3987]) ).
fof(f4053,definition,
( spl14_21
<=> m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl14_21])],[avatar_definition]) ).
fof(f4055,plain,
( ~ m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| spl14_21 ),
inference(avatar_component_clause,[],[f4053]) ).
fof(f4071,plain,
( ~ m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK1,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f4051,f3738]) ).
fof(f4081,plain,
( ~ m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f4071,f3737]) ).
fof(f4082,plain,
( ~ m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v2_pre_topc(sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f4081,f3736]) ).
fof(f4083,plain,
( ~ m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f4082,f3735]) ).
fof(f4084,plain,
~ m1_subset_1(k1_tops_1(sK0,sK2),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f4083,f3734]) ).
fof(f4085,plain,
~ spl14_21,
inference(avatar_split_clause,[],[f4084,f4053]) ).
fof(f4120,plain,
( ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| spl14_21 ),
inference(resolution,[],[f4055,f3778]) ).
fof(f4121,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| spl14_21 ),
inference(forward_subsumption_resolution,[],[f4120,f3734]) ).
fof(f4122,plain,
( $false
| spl14_21 ),
inference(forward_subsumption_resolution,[],[f4121,f3739]) ).
fof(f4123,plain,
spl14_21,
inference(avatar_contradiction_clause,[],[f4122]) ).
cnf(s26,plain,
~ spl14_21,
inference(sat_conversion,[],[f4085]) ).
cnf(s27,plain,
spl14_21,
inference(sat_conversion,[],[f4123]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s26,s27]) ).
fof(f4124,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TOP027+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n006.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 18:53:11 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.98/1.27 % (53576)Detected formulas, will run a generic FOF schedule.
% 2.98/1.27 % (53582)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=2204988104:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 2.98/1.27 % (53585)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1832013655:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 2.98/1.27 % (53584)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=92904884:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 2.98/1.27 % (53586)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3452839693:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 2.98/1.27 % (53581)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=3600583210:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 2.98/1.27 % (53587)dis-21_1_sil=8000:lcm=predicate:random_seed=1787290289:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 2.98/1.27 % (53583)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=3634761707:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 2.98/1.27 % (53584)First to succeed.
% 2.98/1.27 % (53584)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-53576"
% 2.98/1.27 % (53585)Instruction limit reached!
% 2.98/1.27 % (53585)------------------------------
% 2.98/1.27 % (53585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.27 % (53585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.27 % (53585)CaDiCaL version: 2.1.3
% 2.98/1.27 % (53585)Termination reason: Instruction limit
% 2.98/1.27 % (53585)Termination phase: Saturation
% 2.98/1.27 % (53585)Time elapsed: 0.068 s
% 2.98/1.27 % (53585)Peak memory usage: 94 MB
% 2.98/1.27 % (53585)Instructions burned: 119 (million)
% 2.98/1.27 % (53586)Instruction limit reached!
% 2.98/1.27 % (53586)------------------------------
% 2.98/1.27 % (53586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.27 % (53586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.27 % (53586)CaDiCaL version: 2.1.3
% 2.98/1.27 % (53586)Termination reason: Instruction limit
% 2.98/1.27 % (53586)Termination phase: Preprocessing 3
% 2.98/1.27 % (53586)Time elapsed: 0.088 s
% 2.98/1.27 % (53586)Peak memory usage: 94 MB
% 2.98/1.27 % (53586)Instructions burned: 139 (million)
% 2.98/1.27 % (53587)Instruction limit reached!
% 2.98/1.27 % (53587)------------------------------
% 2.98/1.27 % (53587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.98/1.27 % (53587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.98/1.27 % (53587)CaDiCaL version: 2.1.3
% 2.98/1.27 % (53587)Termination reason: Instruction limit
% 2.98/1.27 % (53587)Termination phase: Clausification
% 2.98/1.27 % (53587)Time elapsed: 0.091 s
% 2.98/1.27 % (53587)Peak memory usage: 95 MB
% 2.98/1.27 % (53587)Instructions burned: 129 (million)
% 2.98/1.27 % (53595)lrs+10_1_sil=8000:sp=occurrence:random_seed=1259247009:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.98/1.27 % (53597)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3297575845:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 2.98/1.27 % (53596)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3060909807:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.98/1.27 % (53584)Refutation found. Thanks to Tanya!
% 2.98/1.27 % SZS status Theorem for theBenchmark
% 2.98/1.27 % SZS output start Proof for theBenchmark
% See solution above
% 3.99/1.47 % (53584)------------------------------
% 3.99/1.47 % (53584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.99/1.47 % (53584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.99/1.47 % (53584)CaDiCaL version: 2.1.3
% 3.99/1.47 % (53584)Termination reason: Refutation
% 3.99/1.47 % (53584)Time elapsed: 0.025 s
% 3.99/1.47 % (53584)Peak memory usage: 94 MB
% 3.99/1.47 % (53584)Instructions burned: 34 (million)
% 3.99/1.47 % (53584)------------------------------
% 3.99/1.47 % (53584)------------------------------
% 3.99/1.47 % (53576)Success in time 0.607 s
% 3.99/1.47 % Vampire exiting
%------------------------------------------------------------------------------