%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP026+3 : 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 : n014.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 6.59s 2.39s
% Output : Refutation 7.42s
% 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(f6860,axiom,
! [X0,X1] :
( ( l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k6_pre_topc(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
fof(f6865,axiom,
! [X0,X1] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_tops_1) ).
fof(f13480,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)))
=> ( v4_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',t5_tsp_2) ).
fof(f13482,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)))
=> k6_pre_topc(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_tsp_2) ).
fof(f13483,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)))
=> k6_pre_topc(X0,X2) = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(X0,X2))) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f13482]) ).
fof(f13496,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k6_pre_topc(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(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,[],[f13483]) ).
fof(f13497,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k6_pre_topc(X0,X2) != k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,k6_pre_topc(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,[],[f13496]) ).
fof(f13531,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v4_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,[],[f13480]) ).
fof(f13532,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X2 = k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2))
| ~ v4_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,[],[f13531]) ).
fof(f13554,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(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,[],[f6865]) ).
fof(f13555,plain,
! [X0,X1] :
( v4_pre_topc(k6_pre_topc(X0,X1),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f13554]) ).
fof(f13556,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(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,[],[f6860]) ).
fof(f13557,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(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,[],[f13556]) ).
fof(f13616,plain,
( k6_pre_topc(sK2,sK4) != k3_tex_4(sK2,k5_subset_1(u1_struct_0(sK2),sK3,k6_pre_topc(sK2,sK4)))
& m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
& v1_tsp_2(sK3,sK2)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
& ~ v3_struct_0(sK2)
& v2_pre_topc(sK2)
& l1_pre_topc(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f13497]) ).
fof(f13653,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f13616]) ).
fof(f13654,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f13616]) ).
fof(f13655,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f13616]) ).
fof(f13656,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f13616]) ).
fof(f13657,plain,
v1_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f13616]) ).
fof(f13658,plain,
m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f13616]) ).
fof(f13659,plain,
k6_pre_topc(sK2,sK4) != k3_tex_4(sK2,k5_subset_1(u1_struct_0(sK2),sK3,k6_pre_topc(sK2,sK4))),
inference(cnf_transformation,[],[f13616]) ).
fof(f13691,plain,
! [X2,X0,X1] :
( k3_tex_4(X0,k5_subset_1(u1_struct_0(X0),X1,X2)) = X2
| ~ v4_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,[],[f13532]) ).
fof(f13717,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v4_pre_topc(k6_pre_topc(X0,X1),X0) ),
inference(cnf_transformation,[],[f13555]) ).
fof(f13718,plain,
! [X0,X1] :
( m1_subset_1(k6_pre_topc(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,[],[f13557]) ).
fof(f13776,definition,
~ sP18(k6_pre_topc(sK2,sK4)),
introduced(definition,[new_symbols(definition,[sP18])],[inequality_splitting_name_introduction]) ).
fof(f13777,plain,
sP18(k3_tex_4(sK2,k5_subset_1(u1_struct_0(sK2),sK3,k6_pre_topc(sK2,sK4)))),
inference(inequality_splitting,[],[f13659,f13776]) ).
fof(f13978,plain,
( ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| v4_pre_topc(k6_pre_topc(sK2,sK4),sK2) ),
inference(resolution,[],[f13658,f13717]) ).
fof(f14030,plain,
( ~ l1_pre_topc(sK2)
| v4_pre_topc(k6_pre_topc(sK2,sK4),sK2) ),
inference(forward_subsumption_resolution,[],[f13978,f13654]) ).
fof(f14064,plain,
v4_pre_topc(k6_pre_topc(sK2,sK4),sK2),
inference(forward_subsumption_resolution,[],[f14030,f13653]) ).
fof(f14149,plain,
( sP18(k6_pre_topc(sK2,sK4))
| ~ v4_pre_topc(k6_pre_topc(sK2,sK4),sK2)
| ~ m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(superposition,[],[f13777,f13691]) ).
fof(f14158,plain,
( ~ v4_pre_topc(k6_pre_topc(sK2,sK4),sK2)
| ~ m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f14149,f13776]) ).
fof(f14165,plain,
( ~ m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v1_tsp_2(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f14158,f14064]) ).
fof(f14172,plain,
( ~ m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f14165,f13657]) ).
fof(f14179,plain,
( ~ m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f14172,f13656]) ).
fof(f14185,plain,
( ~ m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f14179,f13655]) ).
fof(f14191,plain,
( ~ m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f14185,f13654]) ).
fof(f14197,plain,
~ m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2))),
inference(forward_subsumption_resolution,[],[f14191,f13653]) ).
fof(f14484,definition,
( spl23_55
<=> m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl23_55])],[avatar_definition]) ).
fof(f14486,plain,
( ~ m1_subset_1(k6_pre_topc(sK2,sK4),k1_zfmisc_1(u1_struct_0(sK2)))
| spl23_55 ),
inference(avatar_component_clause,[],[f14484]) ).
fof(f14511,plain,
~ spl23_55,
inference(avatar_split_clause,[],[f14197,f14484]) ).
fof(f14514,plain,
( ~ l1_pre_topc(sK2)
| ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| spl23_55 ),
inference(resolution,[],[f14486,f13718]) ).
fof(f14516,plain,
( ~ m1_subset_1(sK4,k1_zfmisc_1(u1_struct_0(sK2)))
| spl23_55 ),
inference(forward_subsumption_resolution,[],[f14514,f13653]) ).
fof(f14517,plain,
( $false
| spl23_55 ),
inference(forward_subsumption_resolution,[],[f14516,f13658]) ).
fof(f14518,plain,
spl23_55,
inference(avatar_contradiction_clause,[],[f14517]) ).
cnf(s62,plain,
~ spl23_55,
inference(sat_conversion,[],[f14511]) ).
cnf(s63,plain,
spl23_55,
inference(sat_conversion,[],[f14518]) ).
cnf(s64,plain,
$false,
inference(rat,[],[s62,s63]) ).
fof(f14519,plain,
$false,
inference(avatar_sat_refutation,[],[s64]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP026+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 % Computer : n014.cluster.edu
% 0.08/0.25 % Model : x86_64 x86_64
% 0.08/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.25 % Memory : 8046.5625MB
% 0.08/0.25 % OS : Linux 6.8.0-71-generic
% 0.08/0.25 % CPULimit : 300
% 0.08/0.25 % WCLimit : 300
% 0.08/0.25 % DateTime : Mon Sep 28 18:51:47 UTC 2026
% 0.08/0.25 % CPUTime :
% 0.08/0.25 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.24/0.31 Running first-order theorem proving
% 0.24/0.31 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
% 6.59/2.39 % (2060957)Detected formulas, will run a generic FOF schedule.
% 6.59/2.39 % (2060964)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=833506398:i=141695:sd=1:nm=32:gsp=on:ss=included_2991 on theBenchmark for (2991ds/141695Mi)
% 6.59/2.39 % (2060966)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1942564858:i=119:av=off:ss=axioms_2991 on theBenchmark for (2991ds/119Mi)
% 6.59/2.39 % (2060963)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=2490563884:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2991 on theBenchmark for (2991ds/134677Mi)
% 6.59/2.39 % (2060962)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=1763821723:i=141193_2991 on theBenchmark for (2991ds/141193Mi)
% 6.59/2.39 % (2060967)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=284231852:s2a=on:i=139:gtg=position_2991 on theBenchmark for (2991ds/139Mi)
% 6.59/2.39 % (2060965)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3233036699:i=109:sd=1:ins=1:gsp=on:ss=axioms_2991 on theBenchmark for (2991ds/109Mi)
% 6.59/2.39 % (2060968)dis-21_1_sil=8000:lcm=predicate:random_seed=3757792138:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2991 on theBenchmark for (2991ds/129Mi)
% 6.59/2.39 % (2060966)Instruction limit reached!
% 6.59/2.39 % (2060966)------------------------------
% 6.59/2.39 % (2060966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.39 % (2060966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.39 % (2060966)CaDiCaL version: 2.1.3
% 6.59/2.39 % (2060966)Termination reason: Instruction limit
% 6.59/2.39 % (2060966)Termination phase: Preprocessing 3
% 6.59/2.39 % (2060966)Time elapsed: 0.130 s
% 6.59/2.39 % (2060966)Peak memory usage: 105 MB
% 6.59/2.39 % (2060966)Instructions burned: 119 (million)
% 6.59/2.39 % (2060967)Instruction limit reached!
% 6.59/2.39 % (2060967)------------------------------
% 6.59/2.39 % (2060967)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.39 % (2060967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.39 % (2060967)CaDiCaL version: 2.1.3
% 6.59/2.39 % (2060967)Termination reason: Instruction limit
% 6.59/2.39 % (2060967)Termination phase: Property scanning
% 6.59/2.39 % (2060967)Time elapsed: 0.112 s
% 6.59/2.39 % (2060967)Peak memory usage: 102 MB
% 6.59/2.39 % (2060967)Instructions burned: 139 (million)
% 6.59/2.39 % (2060965)First to succeed.
% 6.59/2.39 % (2060965)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2060957"
% 6.59/2.39 % (2060968)Instruction limit reached!
% 6.59/2.39 % (2060968)------------------------------
% 6.59/2.39 % (2060968)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.59/2.39 % (2060968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.59/2.39 % (2060968)CaDiCaL version: 2.1.3
% 6.59/2.39 % (2060968)Termination reason: Instruction limit
% 6.59/2.39 % (2060968)Termination phase: Preprocessing 1
% 6.59/2.39 % (2060968)Time elapsed: 0.143 s
% 6.59/2.39 % (2060968)Peak memory usage: 103 MB
% 6.59/2.39 % (2060968)Instructions burned: 129 (million)
% 6.59/2.39 % (2060976)lrs+10_1_sil=8000:sp=occurrence:random_seed=74585484:i=285:sd=3:ss=axioms:sgt=8_2988 on theBenchmark for (2988ds/285Mi)
% 6.59/2.39 % (2060977)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2218651277:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2987 on theBenchmark for (2987ds/157Mi)
% 6.59/2.39 % (2060978)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3746695588:i=325:sd=1:ss=axioms:sgt=32_2987 on theBenchmark for (2987ds/325Mi)
% 6.59/2.39 % (2060965)Refutation found. Thanks to Tanya!
% 6.59/2.39 % SZS status Theorem for theBenchmark
% 6.59/2.39 % SZS output start Proof for theBenchmark
% See solution above
% 7.42/2.66 % (2060965)------------------------------
% 7.42/2.66 % (2060965)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.42/2.66 % (2060965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.42/2.66 % (2060965)CaDiCaL version: 2.1.3
% 7.42/2.66 % (2060965)Termination reason: Refutation
% 7.42/2.66 % (2060965)Time elapsed: 0.132 s
% 7.42/2.66 % (2060965)Peak memory usage: 108 MB
% 7.42/2.66 % (2060965)Instructions burned: 109 (million)
% 7.42/2.66 % (2060965)------------------------------
% 7.42/2.66 % (2060965)------------------------------
% 7.42/2.66 % (2060957)Success in time 1.639 s
% 7.42/2.66 % Vampire exiting
%------------------------------------------------------------------------------