%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP025+4 : 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 : 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 02:33:53 PM UTC 2026
% Result : Theorem 9.64s 6.08s
% Output : Refutation 21.43s
% 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(f32789,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(f34234,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(f34237,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(f34381,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(f34383,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(f34384,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)],[f34383]) ).
fof(f34453,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,[],[f34381]) ).
fof(f34454,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,[],[f34453]) ).
fof(f34457,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,[],[f34384]) ).
fof(f34458,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,[],[f34457]) ).
fof(f34698,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,[],[f34237]) ).
fof(f34699,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,[],[f34698]) ).
fof(f34704,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,[],[f34234]) ).
fof(f34705,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,[],[f34704]) ).
fof(f34854,plain,
! [X0,X1] :
( ( v1_tex_2(X1,k1_zfmisc_1(X0))
<=> X1 != X0 )
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f32789]) ).
fof(f34910,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,[],[f34454]) ).
fof(f34911,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,[],[f34910]) ).
fof(f34912,plain,
( ( v3_pre_topc(sK21,sK20)
| v4_pre_topc(sK21,sK20) )
& v1_tsp_2(sK21,sK20)
& v1_tex_2(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
& m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
& ~ v3_struct_0(sK20)
& v2_pre_topc(sK20)
& l1_pre_topc(sK20) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK20,sK21]),skolemize(X0,sK20),skolemize(X1,sK21)],[f34458]) ).
fof(f35086,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,[],[f34854]) ).
fof(f35117,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,[],[f34911]) ).
fof(f35121,plain,
l1_pre_topc(sK20),
inference(cnf_transformation,[],[f34912]) ).
fof(f35122,plain,
v2_pre_topc(sK20),
inference(cnf_transformation,[],[f34912]) ).
fof(f35123,plain,
~ v3_struct_0(sK20),
inference(cnf_transformation,[],[f34912]) ).
fof(f35124,plain,
m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20))),
inference(cnf_transformation,[],[f34912]) ).
fof(f35125,plain,
v1_tex_2(sK21,k1_zfmisc_1(u1_struct_0(sK20))),
inference(cnf_transformation,[],[f34912]) ).
fof(f35126,plain,
v1_tsp_2(sK21,sK20),
inference(cnf_transformation,[],[f34912]) ).
fof(f35127,plain,
( v3_pre_topc(sK21,sK20)
| v4_pre_topc(sK21,sK20) ),
inference(cnf_transformation,[],[f34912]) ).
fof(f35469,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,[],[f34699]) ).
fof(f35472,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,[],[f34705]) ).
fof(f35667,plain,
! [X0,X1] :
( X0 != X1
| ~ v1_tex_2(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X1,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f35086]) ).
fof(f35751,plain,
! [X1] :
( ~ v1_tex_2(X1,k1_zfmisc_1(X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(X1)) ),
inference(equality_resolution,[],[f35667]) ).
fof(f35756,definition,
( spl106_1
<=> v4_pre_topc(sK21,sK20) ),
introduced(definition,[new_symbols(definition,[spl106_1])],[avatar_definition]) ).
fof(f35759,definition,
( spl106_2
<=> v3_pre_topc(sK21,sK20) ),
introduced(definition,[new_symbols(definition,[spl106_2])],[avatar_definition]) ).
fof(f35760,plain,
( v3_pre_topc(sK21,sK20)
| ~ spl106_2 ),
inference(avatar_component_clause,[],[f35759]) ).
fof(f35761,plain,
( spl106_1
| spl106_2 ),
inference(avatar_split_clause,[],[f35127,f35759,f35756]) ).
fof(f35784,plain,
( ~ v4_pre_topc(sK21,sK20)
| sK21 = k3_tex_4(sK20,sK21)
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20) ),
inference(resolution,[],[f35124,f35469]) ).
fof(f35785,plain,
( ~ v3_pre_topc(sK21,sK20)
| sK21 = k3_tex_4(sK20,sK21)
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20) ),
inference(resolution,[],[f35124,f35472]) ).
fof(f35897,plain,
( sK21 = k3_tex_4(sK20,sK21)
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| ~ spl106_2 ),
inference(forward_subsumption_resolution,[],[f35785,f35760]) ).
fof(f35898,plain,
( ~ v4_pre_topc(sK21,sK20)
| sK21 = k3_tex_4(sK20,sK21)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[],[f35784,f35123]) ).
fof(f35956,plain,
( sK21 = k3_tex_4(sK20,sK21)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| ~ spl106_2 ),
inference(forward_subsumption_resolution,[],[f35897,f35123]) ).
fof(f35957,plain,
( ~ v4_pre_topc(sK21,sK20)
| sK21 = k3_tex_4(sK20,sK21)
| ~ l1_pre_topc(sK20) ),
inference(forward_subsumption_resolution,[],[f35898,f35122]) ).
fof(f36017,plain,
( sK21 = k3_tex_4(sK20,sK21)
| ~ l1_pre_topc(sK20)
| ~ spl106_2 ),
inference(forward_subsumption_resolution,[],[f35956,f35122]) ).
fof(f36018,plain,
( ~ v4_pre_topc(sK21,sK20)
| sK21 = k3_tex_4(sK20,sK21) ),
inference(forward_subsumption_resolution,[],[f35957,f35121]) ).
fof(f36057,definition,
( spl106_34
<=> sK21 = u1_struct_0(sK20) ),
introduced(definition,[new_symbols(definition,[spl106_34])],[avatar_definition]) ).
fof(f36058,plain,
( sK21 = u1_struct_0(sK20)
| ~ spl106_34 ),
inference(avatar_component_clause,[],[f36057]) ).
fof(f36073,plain,
( sK21 = k3_tex_4(sK20,sK21)
| ~ spl106_2 ),
inference(forward_subsumption_resolution,[],[f36017,f35121]) ).
fof(f36075,definition,
( spl106_38
<=> sK21 = k3_tex_4(sK20,sK21) ),
introduced(definition,[new_symbols(definition,[spl106_38])],[avatar_definition]) ).
fof(f36076,plain,
( sK21 = k3_tex_4(sK20,sK21)
| ~ spl106_38 ),
inference(avatar_component_clause,[],[f36075]) ).
fof(f36077,plain,
( spl106_38
| ~ spl106_1 ),
inference(avatar_split_clause,[],[f36018,f35756,f36075]) ).
fof(f36086,plain,
( spl106_38
| ~ spl106_2 ),
inference(avatar_split_clause,[],[f36073,f35759,f36075]) ).
fof(f36283,plain,
( m1_subset_1(sK21,k1_zfmisc_1(sK21))
| ~ spl106_34 ),
inference(superposition,[],[f35124,f36058]) ).
fof(f36284,plain,
( v1_tex_2(sK21,k1_zfmisc_1(sK21))
| ~ spl106_34 ),
inference(superposition,[],[f35125,f36058]) ).
fof(f37203,plain,
( sK21 = u1_struct_0(sK20)
| ~ v1_tsp_2(sK21,sK20)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| ~ spl106_38 ),
inference(superposition,[],[f35117,f36076]) ).
fof(f37260,plain,
( sK21 = u1_struct_0(sK20)
| ~ m1_subset_1(sK21,k1_zfmisc_1(u1_struct_0(sK20)))
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| ~ spl106_38 ),
inference(forward_subsumption_resolution,[],[f37203,f35126]) ).
fof(f37286,plain,
( sK21 = u1_struct_0(sK20)
| v3_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| ~ spl106_38 ),
inference(forward_subsumption_resolution,[],[f37260,f35124]) ).
fof(f37312,plain,
( sK21 = u1_struct_0(sK20)
| ~ v2_pre_topc(sK20)
| ~ l1_pre_topc(sK20)
| ~ spl106_38 ),
inference(forward_subsumption_resolution,[],[f37286,f35123]) ).
fof(f37325,plain,
( sK21 = u1_struct_0(sK20)
| ~ l1_pre_topc(sK20)
| ~ spl106_38 ),
inference(forward_subsumption_resolution,[],[f37312,f35122]) ).
fof(f37331,plain,
( sK21 = u1_struct_0(sK20)
| ~ spl106_38 ),
inference(forward_subsumption_resolution,[],[f37325,f35121]) ).
fof(f37333,plain,
( spl106_34
| ~ spl106_38 ),
inference(avatar_split_clause,[],[f37331,f36075,f36057]) ).
fof(f38392,plain,
( ~ m1_subset_1(sK21,k1_zfmisc_1(sK21))
| ~ spl106_34 ),
inference(resolution,[],[f36284,f35751]) ).
fof(f38397,plain,
( $false
| ~ spl106_34 ),
inference(forward_subsumption_resolution,[],[f38392,f36283]) ).
fof(f38398,plain,
~ spl106_34,
inference(avatar_contradiction_clause,[],[f38397]) ).
cnf(s1,plain,
( spl106_1
| spl106_2 ),
inference(sat_conversion,[],[f35761]) ).
cnf(s38,plain,
( ~ spl106_1
| spl106_38 ),
inference(sat_conversion,[],[f36077]) ).
cnf(s42,plain,
( ~ spl106_2
| spl106_38 ),
inference(sat_conversion,[],[f36086]) ).
cnf(s80,plain,
( spl106_34
| ~ spl106_38 ),
inference(sat_conversion,[],[f37333]) ).
cnf(s116,plain,
~ spl106_34,
inference(sat_conversion,[],[f38398]) ).
cnf(s117,plain,
~ spl106_38,
inference(rat,[],[s80,s116]) ).
cnf(s119,plain,
~ spl106_2,
inference(rat,[],[s42,s117]) ).
cnf(s120,plain,
~ spl106_1,
inference(rat,[],[s38,s117]) ).
cnf(s134,plain,
$false,
inference(rat,[],[s1,s119,s120]) ).
fof(f38399,plain,
$false,
inference(avatar_sat_refutation,[],[s134]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP025+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.25 % Computer : n014.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 18:50:52 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.30 Running first-order theorem proving
% 0.23/0.30 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
% 9.64/6.08 % (2058997)Detected formulas, will run a generic FOF schedule.
% 9.64/6.08 % (2059015)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=3452048238:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2974 on theBenchmark for (2974ds/134677Mi)
% 9.64/6.08 % (2059019)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2745354442:s2a=on:i=139:gtg=position_2974 on theBenchmark for (2974ds/139Mi)
% 9.64/6.08 % (2059018)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2778606262:i=119:av=off:ss=axioms_2974 on theBenchmark for (2974ds/119Mi)
% 9.64/6.08 % (2059014)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=3059757276:i=141193_2974 on theBenchmark for (2974ds/141193Mi)
% 9.64/6.08 % (2059017)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2155073108:i=109:sd=1:ins=1:gsp=on:ss=axioms_2974 on theBenchmark for (2974ds/109Mi)
% 9.64/6.08 % (2059016)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=1676010080:i=141695:sd=1:nm=32:gsp=on:ss=included_2974 on theBenchmark for (2974ds/141695Mi)
% 9.64/6.08 % (2059019)Instruction limit reached!
% 9.64/6.08 % (2059019)------------------------------
% 9.64/6.08 % (2059019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059019)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059019)Termination reason: Instruction limit
% 9.64/6.08 % (2059019)Termination phase: Property scanning
% 9.64/6.08 % (2059019)Time elapsed: 0.072 s
% 9.64/6.08 % (2059019)Peak memory usage: 136 MB
% 9.64/6.08 % (2059019)Instructions burned: 141 (million)
% 9.64/6.08 % (2059020)dis-21_1_sil=8000:lcm=predicate:random_seed=2701225572:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2974 on theBenchmark for (2974ds/129Mi)
% 9.64/6.08 % (2059017)Instruction limit reached!
% 9.64/6.08 % (2059017)------------------------------
% 9.64/6.08 % (2059017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059017)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059017)Termination reason: Instruction limit
% 9.64/6.08 % (2059017)Termination phase: SInE selection
% 9.64/6.08 % (2059017)Time elapsed: 0.111 s
% 9.64/6.08 % (2059017)Peak memory usage: 135 MB
% 9.64/6.08 % (2059017)Instructions burned: 109 (million)
% 9.64/6.08 % (2059018)Instruction limit reached!
% 9.64/6.08 % (2059018)------------------------------
% 9.64/6.08 % (2059018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059018)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059018)Termination reason: Instruction limit
% 9.64/6.08 % (2059018)Termination phase: SInE selection
% 9.64/6.08 % (2059018)Time elapsed: 0.121 s
% 9.64/6.08 % (2059018)Peak memory usage: 135 MB
% 9.64/6.08 % (2059018)Instructions burned: 119 (million)
% 9.64/6.08 % (2059020)Instruction limit reached!
% 9.64/6.08 % (2059020)------------------------------
% 9.64/6.08 % (2059020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059020)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059020)Termination reason: Instruction limit
% 9.64/6.08 % (2059020)Termination phase: SInE selection
% 9.64/6.08 % (2059020)Time elapsed: 0.136 s
% 9.64/6.08 % (2059020)Peak memory usage: 136 MB
% 9.64/6.08 % (2059020)Instructions burned: 129 (million)
% 9.64/6.08 % (2059029)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1975355761:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/157Mi)
% 9.64/6.08 % (2059027)lrs+10_1_sil=8000:sp=occurrence:random_seed=656394535:i=285:sd=3:ss=axioms:sgt=8_2970 on theBenchmark for (2970ds/285Mi)
% 9.64/6.08 % (2059030)lrs+1011_1_sil=32000:sp=occurrence:random_seed=475803397:i=325:sd=1:ss=axioms:sgt=32_2970 on theBenchmark for (2970ds/325Mi)
% 9.64/6.08 % (2059029)Instruction limit reached!
% 9.64/6.08 % (2059029)------------------------------
% 9.64/6.08 % (2059029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059029)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059029)Termination reason: Instruction limit
% 9.64/6.08 % (2059029)Termination phase: Property scanning
% 9.64/6.08 % (2059029)Time elapsed: 0.128 s
% 9.64/6.08 % (2059029)Peak memory usage: 135 MB
% 9.64/6.08 % (2059029)Instructions burned: 158 (million)
% 9.64/6.08 % (2059031)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=1153338077:s2a=on:i=248:s2at=1.23:gtg=position_2969 on theBenchmark for (2969ds/248Mi)
% 9.64/6.08 % (2059027)Instruction limit reached!
% 9.64/6.08 % (2059027)------------------------------
% 9.64/6.08 % (2059027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059027)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059027)Termination reason: Instruction limit
% 9.64/6.08 % (2059027)Termination phase: Preprocessing 3
% 9.64/6.08 % (2059027)Time elapsed: 0.334 s
% 9.64/6.08 % (2059027)Peak memory usage: 139 MB
% 9.64/6.08 % (2059027)Instructions burned: 285 (million)
% 9.64/6.08 % (2059037)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=51754290:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2967 on theBenchmark for (2967ds/294Mi)
% 9.64/6.08 % (2059031)Instruction limit reached!
% 9.64/6.08 % (2059031)------------------------------
% 9.64/6.08 % (2059031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059031)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059031)Termination reason: Instruction limit
% 9.64/6.08 % (2059031)Termination phase: Property scanning
% 9.64/6.08 % (2059031)Time elapsed: 0.207 s
% 9.64/6.08 % (2059031)Peak memory usage: 136 MB
% 9.64/6.08 % (2059031)Instructions burned: 248 (million)
% 9.64/6.08 % (2059030)Instruction limit reached!
% 9.64/6.08 % (2059030)------------------------------
% 9.64/6.08 % (2059030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059030)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059030)Termination reason: Instruction limit
% 9.64/6.08 % (2059030)Termination phase: Saturation
% 9.64/6.08 % (2059030)Time elapsed: 0.369 s
% 9.64/6.08 % (2059030)Peak memory usage: 141 MB
% 9.64/6.08 % (2059030)Instructions burned: 326 (million)
% 9.64/6.08 % (2059037)Instruction limit reached!
% 9.64/6.08 % (2059037)------------------------------
% 9.64/6.08 % (2059037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059037)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059037)Termination reason: Instruction limit
% 9.64/6.08 % (2059037)Termination phase: SInE selection
% 9.64/6.08 % (2059037)Time elapsed: 0.262 s
% 9.64/6.08 % (2059037)Peak memory usage: 136 MB
% 9.64/6.08 % (2059037)Instructions burned: 294 (million)
% 9.64/6.08 % (2059040)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1071640740:i=2350_2964 on theBenchmark for (2964ds/2350Mi)
% 9.64/6.08 % (2059041)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=4187425940:cts=off:i=113:fsr=off:ss=included:sgt=4_2964 on theBenchmark for (2964ds/113Mi)
% 9.64/6.08 % (2059042)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1874078900:i=127:av=off:fsr=off:sup=off_2964 on theBenchmark for (2964ds/127Mi)
% 9.64/6.08 % (2059041)Instruction limit reached!
% 9.64/6.08 % (2059041)------------------------------
% 9.64/6.08 % (2059041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059041)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059041)Termination reason: Instruction limit
% 9.64/6.08 % (2059041)Termination phase: SInE selection
% 9.64/6.08 % (2059041)Time elapsed: 0.127 s
% 9.64/6.08 % (2059041)Peak memory usage: 135 MB
% 9.64/6.08 % (2059041)Instructions burned: 114 (million)
% 9.64/6.08 % (2059044)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2292815918:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2962 on theBenchmark for (2962ds/114Mi)
% 9.64/6.08 % (2059042)Instruction limit reached!
% 9.64/6.08 % (2059042)------------------------------
% 9.64/6.08 % (2059042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059042)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059042)Termination reason: Instruction limit
% 9.64/6.08 % (2059042)Termination phase: Preprocessing 1
% 9.64/6.08 % (2059042)Time elapsed: 0.145 s
% 9.64/6.08 % (2059042)Peak memory usage: 137 MB
% 9.64/6.08 % (2059042)Instructions burned: 127 (million)
% 9.64/6.08 % (2059044)Instruction limit reached!
% 9.64/6.08 % (2059044)------------------------------
% 9.64/6.08 % (2059044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.64/6.08 % (2059044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.64/6.08 % (2059044)CaDiCaL version: 2.1.3
% 9.64/6.08 % (2059044)Termination reason: Instruction limit
% 9.64/6.08 % (2059044)Termination phase: Property scanning
% 9.64/6.08 % (2059044)Time elapsed: 0.101 s
% 9.64/6.08 % (2059044)Peak memory usage: 136 MB
% 9.64/6.08 % (2059044)Instructions burned: 115 (million)
% 9.64/6.08 % (2059049)lrs+10_1_sil=8000:sp=occurrence:random_seed=4202194026:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2960 on theBenchmark for (2960ds/907Mi)
% 9.64/6.08 % (2059051)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=424109168:i=437:sd=1:aac=none:ss=included_2959 on theBenchmark for (2959ds/437Mi)
% 9.64/6.08 % (2059052)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3346879461:i=5202:ss=axioms:sgt=16_2958 on theBenchmark for (2958ds/5202Mi)
% 9.64/6.08 % (2059051)First to succeed.
% 9.64/6.08 % (2059051)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2058997"
% 9.64/6.08 % (2059051)Refutation found. Thanks to Tanya!
% 9.64/6.08 % SZS status Theorem for theBenchmark
% 9.64/6.08 % SZS output start Proof for theBenchmark
% See solution above
% 21.43/6.36 % (2059051)------------------------------
% 21.43/6.36 % (2059051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.43/6.36 % (2059051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.43/6.36 % (2059051)CaDiCaL version: 2.1.3
% 21.43/6.36 % (2059051)Termination reason: Refutation
% 21.43/6.36 % (2059051)Time elapsed: 0.395 s
% 21.43/6.36 % (2059051)Peak memory usage: 143 MB
% 21.43/6.36 % (2059051)Instructions burned: 366 (million)
% 21.43/6.36 % (2059051)------------------------------
% 21.43/6.36 % (2059051)------------------------------
% 21.43/6.36 % (2058997)Success in time 5.168 s
% 21.43/6.36 % Vampire exiting
%------------------------------------------------------------------------------