%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP025+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 02:33:53 PM UTC 2026
% Result : Theorem 13.70s 3.03s
% Output : Refutation 0.28s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 9
% Syntax : Number of formulae : 72 ( 13 unt; 4 def)
% Number of atoms : 264 ( 40 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 319 ( 127 ~; 130 |; 40 &)
% ( 9 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 5 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 41 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3108,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(X0))
=> ( v1_tex_2(X1,k1_zfmisc_1(X0))
<=> X1 != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tex_2) ).
fof(f3435,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)))
=> ( v3_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t58_tex_4) ).
fof(f3438,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)))
=> ( v4_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t62_tex_4) ).
fof(f3582,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)
<=> ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_tsp_2) ).
fof(f3584,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)))
=> ~ ( ( v3_pre_topc(X1,X0)
| v4_pre_topc(X1,X0) )
& v1_tsp_2(X1,X0)
& v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_tsp_2) ).
fof(f3585,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)))
=> ~ ( ( v3_pre_topc(X1,X0)
| v4_pre_topc(X1,X0) )
& v1_tsp_2(X1,X0)
& v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ) ),
inference(negated_conjecture,[status(cth)],[f3584]) ).
fof(f3629,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(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,[],[f3582]) ).
fof(f3630,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = u1_struct_0(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,[],[f3629]) ).
fof(f3633,plain,
? [X0] :
( ? [X1] :
( ( v3_pre_topc(X1,X0)
| v4_pre_topc(X1,X0) )
& v1_tsp_2(X1,X0)
& v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(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,[],[f3585]) ).
fof(f3634,plain,
? [X0] :
( ? [X1] :
( ( v3_pre_topc(X1,X0)
| v4_pre_topc(X1,X0) )
& v1_tsp_2(X1,X0)
& v1_tex_2(X1,k1_zfmisc_1(u1_struct_0(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,[],[f3633]) ).
fof(f3852,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(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,[],[f3438]) ).
fof(f3853,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v4_pre_topc(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,[],[f3852]) ).
fof(f3858,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(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,[],[f3435]) ).
fof(f3859,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(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,[],[f3858]) ).
fof(f3962,plain,
! [X0,X1] :
( ( v1_tex_2(X1,k1_zfmisc_1(X0))
<=> X1 != X0 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f3108]) ).
fof(f3998,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1) )
& ( ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = 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(nnf_transformation,[],[f3630]) ).
fof(f3999,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| u1_struct_0(X0) != k3_tex_4(X0,X1) )
& ( ( v1_tsp_1(X1,X0)
& k3_tex_4(X0,X1) = 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,[],[f3998]) ).
fof(f4000,plain,
( ( v3_pre_topc(sK17,sK16)
| v4_pre_topc(sK17,sK16) )
& v1_tsp_2(sK17,sK16)
& v1_tex_2(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
& m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
& ~ v3_struct_0(sK16)
& v2_pre_topc(sK16)
& l1_pre_topc(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16,sK17]),skolemize(X0,sK16),skolemize(X1,sK17)],[f3634]) ).
fof(f4137,plain,
! [X0,X1] :
( ( ( v1_tex_2(X1,k1_zfmisc_1(X0))
| X0 = X1 )
& ( X1 != X0
| ~ v1_tex_2(X1,k1_zfmisc_1(X0)) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(nnf_transformation,[],[f3962]) ).
fof(f4166,plain,
! [X0,X1] :
( u1_struct_0(X0) = k3_tex_4(X0,X1)
| ~ 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,[],[f3999]) ).
fof(f4170,plain,
l1_pre_topc(sK16),
inference(cnf_transformation,[],[f4000]) ).
fof(f4171,plain,
v2_pre_topc(sK16),
inference(cnf_transformation,[],[f4000]) ).
fof(f4172,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f4000]) ).
fof(f4173,plain,
m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16))),
inference(cnf_transformation,[],[f4000]) ).
fof(f4174,plain,
v1_tex_2(sK17,k1_zfmisc_1(u1_struct_0(sK16))),
inference(cnf_transformation,[],[f4000]) ).
fof(f4175,plain,
v1_tsp_2(sK17,sK16),
inference(cnf_transformation,[],[f4000]) ).
fof(f4176,plain,
( v3_pre_topc(sK17,sK16)
| v4_pre_topc(sK17,sK16) ),
inference(cnf_transformation,[],[f4000]) ).
fof(f4461,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v4_pre_topc(X1,X0)
| k3_tex_4(X0,X1) = X1
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3853]) ).
fof(f4464,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ v3_pre_topc(X1,X0)
| k3_tex_4(X0,X1) = X1
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3859]) ).
fof(f4599,plain,
! [X0,X1] :
( X0 != X1
| ~ v1_tex_2(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f4137]) ).
fof(f4655,plain,
! [X1] :
( ~ v1_tex_2(X1,k1_zfmisc_1(X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X1)) ),
inference(equality_resolution,[],[f4599]) ).
fof(f4658,definition,
( spl86_1
<=> v4_pre_topc(sK17,sK16) ),
introduced(definition,[new_symbols(definition,[spl86_1])],[avatar_definition]) ).
fof(f4661,definition,
( spl86_2
<=> v3_pre_topc(sK17,sK16) ),
introduced(definition,[new_symbols(definition,[spl86_2])],[avatar_definition]) ).
fof(f4662,plain,
( v3_pre_topc(sK17,sK16)
| ~ spl86_2 ),
inference(avatar_component_clause,[],[f4661]) ).
fof(f4663,plain,
( spl86_1
| spl86_2 ),
inference(avatar_split_clause,[],[f4176,f4661,f4658]) ).
fof(f4685,plain,
( ~ v4_pre_topc(sK17,sK16)
| sK17 = k3_tex_4(sK16,sK17)
| v3_struct_0(sK16)
| ~ v2_pre_topc(sK16)
| ~ l1_pre_topc(sK16) ),
inference(resolution,[],[f4173,f4461]) ).
fof(f4686,plain,
( ~ v3_pre_topc(sK17,sK16)
| sK17 = k3_tex_4(sK16,sK17)
| v3_struct_0(sK16)
| ~ v2_pre_topc(sK16)
| ~ l1_pre_topc(sK16) ),
inference(resolution,[],[f4173,f4464]) ).
fof(f4759,plain,
( sK17 = k3_tex_4(sK16,sK17)
| v3_struct_0(sK16)
| ~ v2_pre_topc(sK16)
| ~ l1_pre_topc(sK16)
| ~ spl86_2 ),
inference(forward_subsumption_resolution,[],[f4686,f4662]) ).
fof(f4760,plain,
( ~ v4_pre_topc(sK17,sK16)
| sK17 = k3_tex_4(sK16,sK17)
| ~ v2_pre_topc(sK16)
| ~ l1_pre_topc(sK16) ),
inference(forward_subsumption_resolution,[],[f4685,f4172]) ).
fof(f4810,plain,
( sK17 = k3_tex_4(sK16,sK17)
| ~ v2_pre_topc(sK16)
| ~ l1_pre_topc(sK16)
| ~ spl86_2 ),
inference(forward_subsumption_resolution,[],[f4759,f4172]) ).
fof(f4811,plain,
( ~ v4_pre_topc(sK17,sK16)
| sK17 = k3_tex_4(sK16,sK17)
| ~ l1_pre_topc(sK16) ),
inference(forward_subsumption_resolution,[],[f4760,f4171]) ).
fof(f4860,plain,
( sK17 = k3_tex_4(sK16,sK17)
| ~ l1_pre_topc(sK16)
| ~ spl86_2 ),
inference(forward_subsumption_resolution,[],[f4810,f4171]) ).
fof(f4861,plain,
( ~ v4_pre_topc(sK17,sK16)
| sK17 = k3_tex_4(sK16,sK17) ),
inference(forward_subsumption_resolution,[],[f4811,f4170]) ).
fof(f4888,definition,
( spl86_26
<=> sK17 = u1_struct_0(sK16) ),
introduced(definition,[new_symbols(definition,[spl86_26])],[avatar_definition]) ).
fof(f4889,plain,
( sK17 = u1_struct_0(sK16)
| ~ spl86_26 ),
inference(avatar_component_clause,[],[f4888]) ).
fof(f4901,plain,
( sK17 = k3_tex_4(sK16,sK17)
| ~ spl86_2 ),
inference(forward_subsumption_resolution,[],[f4860,f4170]) ).
fof(f4903,definition,
( spl86_29
<=> sK17 = k3_tex_4(sK16,sK17) ),
introduced(definition,[new_symbols(definition,[spl86_29])],[avatar_definition]) ).
fof(f4904,plain,
( sK17 = k3_tex_4(sK16,sK17)
| ~ spl86_29 ),
inference(avatar_component_clause,[],[f4903]) ).
fof(f4905,plain,
( spl86_29
| ~ spl86_1 ),
inference(avatar_split_clause,[],[f4861,f4658,f4903]) ).
fof(f4918,plain,
( spl86_29
| ~ spl86_2 ),
inference(avatar_split_clause,[],[f4901,f4661,f4903]) ).
fof(f5308,plain,
( sK17 = u1_struct_0(sK16)
| ~ v1_tsp_2(sK17,sK16)
| ~ m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
| v3_struct_0(sK16)
| ~ v2_pre_topc(sK16)
| ~ l1_pre_topc(sK16)
| ~ spl86_29 ),
inference(superposition,[],[f4166,f4904]) ).
fof(f5365,plain,
( sK17 = u1_struct_0(sK16)
| ~ m1_subset_1(sK17,k1_zfmisc_1(u1_struct_0(sK16)))
| v3_struct_0(sK16)
| ~ v2_pre_topc(sK16)
| ~ l1_pre_topc(sK16)
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f5308,f4175]) ).
fof(f5391,plain,
( sK17 = u1_struct_0(sK16)
| v3_struct_0(sK16)
| ~ v2_pre_topc(sK16)
| ~ l1_pre_topc(sK16)
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f5365,f4173]) ).
fof(f5417,plain,
( sK17 = u1_struct_0(sK16)
| ~ v2_pre_topc(sK16)
| ~ l1_pre_topc(sK16)
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f5391,f4172]) ).
fof(f5430,plain,
( sK17 = u1_struct_0(sK16)
| ~ l1_pre_topc(sK16)
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f5417,f4171]) ).
fof(f5436,plain,
( sK17 = u1_struct_0(sK16)
| ~ spl86_29 ),
inference(forward_subsumption_resolution,[],[f5430,f4170]) ).
fof(f5438,plain,
( spl86_26
| ~ spl86_29 ),
inference(avatar_split_clause,[],[f5436,f4903,f4888]) ).
fof(f5439,plain,
( m1_subset_1(sK17,k1_zfmisc_1(sK17))
| ~ spl86_26 ),
inference(superposition,[],[f4173,f4889]) ).
fof(f5440,plain,
( v1_tex_2(sK17,k1_zfmisc_1(sK17))
| ~ spl86_26 ),
inference(superposition,[],[f4174,f4889]) ).
fof(f6363,plain,
( ~ m1_subset_1(sK17,k1_zfmisc_1(sK17))
| ~ spl86_26 ),
inference(resolution,[],[f5440,f4655]) ).
fof(f6364,plain,
( $false
| ~ spl86_26 ),
inference(forward_subsumption_resolution,[],[f6363,f5439]) ).
fof(f6365,plain,
~ spl86_26,
inference(avatar_contradiction_clause,[],[f6364]) ).
cnf(s1,plain,
( spl86_1
| spl86_2 ),
inference(sat_conversion,[],[f4663]) ).
cnf(s29,plain,
( ~ spl86_1
| spl86_29 ),
inference(sat_conversion,[],[f4905]) ).
cnf(s34,plain,
( ~ spl86_2
| spl86_29 ),
inference(sat_conversion,[],[f4918]) ).
cnf(s73,plain,
( spl86_26
| ~ spl86_29 ),
inference(sat_conversion,[],[f5438]) ).
cnf(s101,plain,
~ spl86_26,
inference(sat_conversion,[],[f6365]) ).
cnf(s102,plain,
~ spl86_29,
inference(rat,[],[s73,s101]) ).
cnf(s105,plain,
~ spl86_2,
inference(rat,[],[s34,s102]) ).
cnf(s106,plain,
~ spl86_1,
inference(rat,[],[s29,s102]) ).
cnf(s119,plain,
$false,
inference(rat,[],[s1,s105,s106]) ).
fof(f6366,plain,
$false,
inference(avatar_sat_refutation,[],[s119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP025+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 % Computer : n019.cluster.edu
% 0.09/0.23 % Model : x86_64 x86_64
% 0.09/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.23 % Memory : 8046.5625MB
% 0.09/0.23 % OS : Linux 6.8.0-71-generic
% 0.09/0.23 % CPULimit : 300
% 0.09/0.23 % WCLimit : 300
% 0.09/0.23 % DateTime : Mon Sep 28 18:50:49 UTC 2026
% 0.09/0.23 % CPUTime :
% 0.09/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.29 Running first-order theorem proving
% 0.25/0.29 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
% 13.70/3.03 % (106583)Detected formulas, will run a generic FOF schedule.
% 13.70/3.03 % (106593)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2898550557:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 13.70/3.03 % (106593)Instruction limit reached!
% 13.70/3.03 % (106593)------------------------------
% 13.70/3.03 % (106593)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106593)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106593)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106593)Termination reason: Instruction limit
% 13.70/3.03 % (106593)Termination phase: Preprocessing 3
% 13.70/3.03 % (106593)Time elapsed: 0.076 s
% 13.70/3.03 % (106593)Peak memory usage: 94 MB
% 13.70/3.03 % (106593)Instructions burned: 139 (million)
% 13.70/3.03 % (106594)dis-21_1_sil=8000:lcm=predicate:random_seed=2312635188: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)
% 13.70/3.03 % (106591)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2454546742:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 13.70/3.03 % (106590)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=1433294191:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 13.70/3.03 % (106592)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1885434276:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 13.70/3.03 % (106589)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=1028271444:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 13.70/3.03 % (106588)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=2491805167:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 13.70/3.03 % (106591)Refutation not found, incomplete strategy
% 13.70/3.03 % (106591)------------------------------
% 13.70/3.03 % (106591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106591)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106591)Termination reason: Refutation not found, incomplete strategy
% 13.70/3.03 % (106591)Time elapsed: 0.031 s
% 13.70/3.03 % (106591)Peak memory usage: 93 MB
% 13.70/3.03 % (106591)Instructions burned: 27 (million)
% 13.70/3.03 % (106594)Instruction limit reached!
% 13.70/3.03 % (106594)------------------------------
% 13.70/3.03 % (106594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106594)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106594)Termination reason: Instruction limit
% 13.70/3.03 % (106594)Termination phase: Clausification
% 13.70/3.03 % (106594)Time elapsed: 0.087 s
% 13.70/3.03 % (106594)Peak memory usage: 95 MB
% 13.70/3.03 % (106594)Instructions burned: 129 (million)
% 13.70/3.03 % (106592)Instruction limit reached!
% 13.70/3.03 % (106592)------------------------------
% 13.70/3.03 % (106592)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106592)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106592)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106592)Termination reason: Instruction limit
% 13.70/3.03 % (106592)Termination phase: Saturation
% 13.70/3.03 % (106592)Time elapsed: 0.114 s
% 13.70/3.03 % (106592)Peak memory usage: 94 MB
% 13.70/3.03 % (106592)Instructions burned: 119 (million)
% 13.70/3.03 % (106596)lrs+10_1_sil=8000:sp=occurrence:random_seed=3310025866:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 13.70/3.03 % (106603)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2588082230:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 13.70/3.03 % (106603)Refutation not found, incomplete strategy
% 13.70/3.03 % (106603)------------------------------
% 13.70/3.03 % (106603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106603)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106603)Termination reason: Refutation not found, incomplete strategy
% 13.70/3.03 % (106603)Time elapsed: 0.044 s
% 13.70/3.03 % (106603)Peak memory usage: 93 MB
% 13.70/3.03 % (106603)Instructions burned: 83 (million)
% 13.70/3.03 % (106591)------------------------------
% 13.70/3.03 % (106591)------------------------------
% 13.70/3.03 % (106604)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3139599132:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 13.70/3.03 % (106596)Instruction limit reached!
% 13.70/3.03 % (106596)------------------------------
% 13.70/3.03 % (106596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106596)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106596)Termination reason: Instruction limit
% 13.70/3.03 % (106596)Termination phase: Saturation
% 13.70/3.03 % (106596)Time elapsed: 0.288 s
% 13.70/3.03 % (106596)Peak memory usage: 97 MB
% 13.70/3.03 % (106596)Instructions burned: 286 (million)
% 13.70/3.03 % (106603)------------------------------
% 13.70/3.03 % (106603)------------------------------
% 13.70/3.03 % (106608)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=4179598979:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 13.70/3.03 % (106604)Instruction limit reached!
% 13.70/3.03 % (106604)------------------------------
% 13.70/3.03 % (106604)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106604)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106604)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106604)Termination reason: Instruction limit
% 13.70/3.03 % (106604)Termination phase: Saturation
% 13.70/3.03 % (106604)Time elapsed: 0.289 s
% 13.70/3.03 % (106604)Peak memory usage: 94 MB
% 13.70/3.03 % (106604)Instructions burned: 325 (million)
% 13.70/3.03 % (106609)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1508301972:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 13.70/3.03 % (106610)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1535479317:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 13.70/3.03 % (106609)Instruction limit reached!
% 13.70/3.03 % (106609)------------------------------
% 13.70/3.03 % (106609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106609)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106609)Termination reason: Instruction limit
% 13.70/3.03 % (106609)Termination phase: Saturation
% 13.70/3.03 % (106609)Time elapsed: 0.153 s
% 13.70/3.03 % (106609)Peak memory usage: 97 MB
% 13.70/3.03 % (106609)Instructions burned: 295 (million)
% 13.70/3.03 % (106608)Instruction limit reached!
% 13.70/3.03 % (106608)------------------------------
% 13.70/3.03 % (106608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106608)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106608)Termination reason: Instruction limit
% 13.70/3.03 % (106608)Termination phase: Property scanning
% 13.70/3.03 % (106608)Time elapsed: 0.231 s
% 13.70/3.03 % (106608)Peak memory usage: 98 MB
% 13.70/3.03 % (106608)Instructions burned: 248 (million)
% 13.70/3.03 % (106612)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=421671059:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 13.70/3.03 % (106612)Instruction limit reached!
% 13.70/3.03 % (106612)------------------------------
% 13.70/3.03 % (106612)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106612)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106612)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106612)Termination reason: Instruction limit
% 13.70/3.03 % (106612)Termination phase: Property scanning
% 13.70/3.03 % (106612)Time elapsed: 0.114 s
% 13.70/3.03 % (106612)Peak memory usage: 93 MB
% 13.70/3.03 % (106612)Instructions burned: 114 (million)
% 13.70/3.03 % (106615)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1798619108:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 13.70/3.03 % (106615)Instruction limit reached!
% 13.70/3.03 % (106615)------------------------------
% 13.70/3.03 % (106615)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106615)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106615)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106615)Termination reason: Instruction limit
% 13.70/3.03 % (106615)Termination phase: Preprocessing 3
% 13.70/3.03 % (106615)Time elapsed: 0.076 s
% 13.70/3.03 % (106615)Peak memory usage: 96 MB
% 13.70/3.03 % (106615)Instructions burned: 129 (million)
% 13.70/3.03 % (106616)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2632662766:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2987 on theBenchmark for (2987ds/114Mi)
% 13.70/3.03 % (106616)Instruction limit reached!
% 13.70/3.03 % (106616)------------------------------
% 13.70/3.03 % (106616)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.70/3.03 % (106616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.70/3.03 % (106616)CaDiCaL version: 2.1.3
% 13.70/3.03 % (106616)Termination reason: Instruction limit
% 13.70/3.03 % (106616)Termination phase: Preprocessing 3
% 13.70/3.03 % (106616)Time elapsed: 0.101 s
% 13.70/3.03 % (106616)Peak memory usage: 90 MB
% 13.70/3.03 % (106616)Instructions burned: 115 (million)
% 13.70/3.03 % (106619)lrs+10_1_sil=8000:sp=occurrence:random_seed=2899999812:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 13.70/3.03 % (106620)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2688766332:i=437:sd=1:aac=none:ss=included_2984 on theBenchmark for (2984ds/437Mi)
% 13.70/3.03 % (106620)First to succeed.
% 13.70/3.03 % (106620)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-106583"
% 13.70/3.03 % (106622)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=4206839494:i=5202:ss=axioms:sgt=16_2983 on theBenchmark for (2983ds/5202Mi)
% 13.70/3.03 % (106590)Also succeeded, but the first one will report.
% 13.70/3.03 % (106620)Refutation found. Thanks to Tanya!
% 13.70/3.03 % SZS status Theorem for theBenchmark
% 13.70/3.03 % SZS output start Proof for theBenchmark
% See solution above
% 0.28/3.30 % (106620)------------------------------
% 0.28/3.30 % (106620)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.28/3.30 % (106620)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.28/3.30 % (106620)CaDiCaL version: 2.1.3
% 0.28/3.30 % (106620)Termination reason: Refutation
% 0.28/3.30 % (106620)Time elapsed: 0.106 s
% 0.28/3.30 % (106620)Peak memory usage: 95 MB
% 0.28/3.30 % (106620)Instructions burned: 104 (million)
% 0.28/3.30 % (106620)------------------------------
% 0.28/3.30 % (106620)------------------------------
% 0.28/3.30 % (106583)Success in time 2.348 s
% 0.28/3.30 % Vampire exiting
%------------------------------------------------------------------------------