%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP024+1 : 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 : 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 02:33:52 PM UTC 2026
% Result : Theorem 3.04s 1.11s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 15
% Syntax : Number of formulae : 101 ( 22 unt; 5 def)
% Number of atoms : 306 ( 43 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 349 ( 144 ~; 138 |; 36 &)
% ( 11 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 17 ( 15 usr; 6 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 74 ( 1 sgn 70 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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)
=> v1_tops_1(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_tsp_2) ).
fof(f2,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)
=> v1_tops_1(X1,X0) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f25,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v1_tops_1(X1,X0)
<=> k6_pre_topc(X0,X1) = u1_struct_0(X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_tops_3) ).
fof(f26,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(f32,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f43,axiom,
! [X0] :
( ( v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> v4_pre_topc(k2_pre_topc(X0),X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc5_pre_topc) ).
fof(f59,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f60,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_pre_topc) ).
fof(f63,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
fof(f65,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v4_pre_topc(X1,X0)
=> k6_pre_topc(X0,X1) = X1 )
& ( ( v2_pre_topc(X0)
& k6_pre_topc(X0,X1) = X1 )
=> v4_pre_topc(X1,X0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t52_pre_topc) ).
fof(f67,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)))
=> k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t64_tex_4) ).
fof(f71,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f59]) ).
fof(f72,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f63]) ).
fof(f88,plain,
? [X0] :
( ? [X1] :
( ~ v1_tops_1(X1,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,[],[f2]) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ~ v1_tops_1(X1,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,[],[f88]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ( v1_tops_1(X1,X0)
<=> k6_pre_topc(X0,X1) = u1_struct_0(X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f114,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,[],[f26]) ).
fof(f115,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,[],[f114]) ).
fof(f121,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f128,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f129,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f128]) ).
fof(f149,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f153,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(ennf_transformation,[],[f72]) ).
fof(f156,plain,
! [X0] :
( ! [X1] :
( ( ( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0) )
& ( v4_pre_topc(X1,X0)
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,X1) != X1 ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( ( k6_pre_topc(X0,X1) = X1
| ~ v4_pre_topc(X1,X0) )
& ( v4_pre_topc(X1,X0)
| ~ v2_pre_topc(X0)
| k6_pre_topc(X0,X1) != X1 ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f156]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1)
| ~ 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,[],[f67]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( k6_pre_topc(X0,k3_tex_4(X0,X1)) = k6_pre_topc(X0,X1)
| ~ 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,[],[f159]) ).
fof(f168,plain,
( ~ v1_tops_1(sK3,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]),skolemize(X0,sK2),skolemize(X1,sK3)],[f89]) ).
fof(f171,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tops_1(X1,X0)
| u1_struct_0(X0) != k6_pre_topc(X0,X1) )
& ( k6_pre_topc(X0,X1) = u1_struct_0(X0)
| ~ v1_tops_1(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f113]) ).
fof(f172,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,[],[f115]) ).
fof(f173,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,[],[f172]) ).
fof(f190,plain,
l1_pre_topc(sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f191,plain,
v2_pre_topc(sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f192,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f193,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2))),
inference(cnf_transformation,[],[f168]) ).
fof(f194,plain,
v1_tsp_2(sK3,sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f195,plain,
~ v1_tops_1(sK3,sK2),
inference(cnf_transformation,[],[f168]) ).
fof(f240,plain,
! [X0,X1] :
( u1_struct_0(X0) != k6_pre_topc(X0,X1)
| v1_tops_1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f171]) ).
fof(f241,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| u1_struct_0(X0) = k3_tex_4(X0,X1)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f247,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f255,plain,
! [X0] :
( v4_pre_topc(k2_pre_topc(X0),X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f313,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f71]) ).
fof(f314,plain,
! [X0] :
( u1_struct_0(X0) = k2_pre_topc(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f149]) ).
fof(f317,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f153]) ).
fof(f320,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ v4_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| k6_pre_topc(X0,X1) = X1 ),
inference(cnf_transformation,[],[f157]) ).
fof(f322,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| k6_pre_topc(X0,X1) = k6_pre_topc(X0,k3_tex_4(X0,X1))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f386,plain,
! [X0] :
( k6_pre_topc(sK2,X0) = X0
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v4_pre_topc(X0,sK2) ),
inference(resolution,[],[f320,f190]) ).
fof(f447,definition,
( spl19_6
<=> m1_subset_1(u1_struct_0(sK2),k1_zfmisc_1(u1_struct_0(sK2))) ),
introduced(definition,[new_symbols(definition,[spl19_6])],[avatar_definition]) ).
fof(f448,plain,
( m1_subset_1(u1_struct_0(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| ~ spl19_6 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f449,plain,
( ~ m1_subset_1(u1_struct_0(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| spl19_6 ),
inference(avatar_component_clause,[],[f447]) ).
fof(f460,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| u1_struct_0(sK2) = k3_tex_4(sK2,X0)
| ~ l1_pre_topc(sK2) ),
inference(resolution,[],[f241,f191]) ).
fof(f461,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| u1_struct_0(sK2) = k3_tex_4(sK2,X0)
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f460,f192]) ).
fof(f462,plain,
! [X0] :
( ~ v1_tsp_2(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| u1_struct_0(sK2) = k3_tex_4(sK2,X0) ),
inference(forward_subsumption_resolution,[],[f461,f190]) ).
fof(f464,plain,
( ~ r1_tarski(u1_struct_0(sK2),u1_struct_0(sK2))
| spl19_6 ),
inference(resolution,[],[f449,f317]) ).
fof(f465,plain,
( $false
| spl19_6 ),
inference(forward_subsumption_resolution,[],[f464,f313]) ).
fof(f466,plain,
spl19_6,
inference(avatar_contradiction_clause,[],[f465]) ).
fof(f467,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| k6_pre_topc(sK2,X0) = k6_pre_topc(sK2,k3_tex_4(sK2,X0))
| ~ l1_pre_topc(sK2) ),
inference(resolution,[],[f322,f191]) ).
fof(f468,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| k6_pre_topc(sK2,X0) = k6_pre_topc(sK2,k3_tex_4(sK2,X0))
| ~ l1_pre_topc(sK2) ),
inference(forward_subsumption_resolution,[],[f467,f192]) ).
fof(f469,plain,
! [X0] :
( k6_pre_topc(sK2,X0) = k6_pre_topc(sK2,k3_tex_4(sK2,X0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2))) ),
inference(forward_subsumption_resolution,[],[f468,f190]) ).
fof(f493,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| u1_struct_0(sK2) = k3_tex_4(sK2,sK3) ),
inference(resolution,[],[f462,f194]) ).
fof(f494,plain,
u1_struct_0(sK2) = k3_tex_4(sK2,sK3),
inference(forward_subsumption_resolution,[],[f493,f193]) ).
fof(f500,plain,
! [X0] :
( ~ v4_pre_topc(k3_tex_4(sK2,X0),sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(k3_tex_4(sK2,X0),k1_zfmisc_1(u1_struct_0(sK2)))
| k6_pre_topc(sK2,X0) = k3_tex_4(sK2,X0) ),
inference(superposition,[],[f469,f386]) ).
fof(f570,definition,
( spl19_13
<=> v4_pre_topc(k2_pre_topc(sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl19_13])],[avatar_definition]) ).
fof(f571,plain,
( v4_pre_topc(k2_pre_topc(sK2),sK2)
| ~ spl19_13 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f572,plain,
( ~ v4_pre_topc(k2_pre_topc(sK2),sK2)
| spl19_13 ),
inference(avatar_component_clause,[],[f570]) ).
fof(f586,plain,
( ~ v2_pre_topc(sK2)
| ~ l1_pre_topc(sK2)
| spl19_13 ),
inference(resolution,[],[f572,f255]) ).
fof(f590,definition,
( spl19_15
<=> l1_struct_0(sK2) ),
introduced(definition,[new_symbols(definition,[spl19_15])],[avatar_definition]) ).
fof(f592,plain,
( ~ l1_struct_0(sK2)
| spl19_15 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f594,definition,
( spl19_16
<=> v4_pre_topc(u1_struct_0(sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl19_16])],[avatar_definition]) ).
fof(f599,plain,
( ~ l1_pre_topc(sK2)
| spl19_13 ),
inference(forward_subsumption_resolution,[],[f586,f191]) ).
fof(f601,plain,
( $false
| spl19_13 ),
inference(forward_subsumption_resolution,[],[f599,f190]) ).
fof(f602,plain,
spl19_13,
inference(avatar_contradiction_clause,[],[f601]) ).
fof(f611,plain,
( v4_pre_topc(u1_struct_0(sK2),sK2)
| ~ l1_struct_0(sK2)
| ~ spl19_13 ),
inference(superposition,[],[f571,f314]) ).
fof(f612,plain,
( ~ spl19_15
| spl19_16
| ~ spl19_13 ),
inference(avatar_split_clause,[],[f611,f570,f594,f590]) ).
fof(f618,plain,
( ~ l1_pre_topc(sK2)
| spl19_15 ),
inference(resolution,[],[f592,f247]) ).
fof(f619,plain,
( $false
| spl19_15 ),
inference(forward_subsumption_resolution,[],[f618,f190]) ).
fof(f620,plain,
spl19_15,
inference(avatar_contradiction_clause,[],[f619]) ).
fof(f627,definition,
( spl19_18
<=> u1_struct_0(sK2) = k6_pre_topc(sK2,sK3) ),
introduced(definition,[new_symbols(definition,[spl19_18])],[avatar_definition]) ).
fof(f628,plain,
( u1_struct_0(sK2) = k6_pre_topc(sK2,sK3)
| ~ spl19_18 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f632,plain,
( ~ v4_pre_topc(u1_struct_0(sK2),sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ m1_subset_1(u1_struct_0(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| u1_struct_0(sK2) = k6_pre_topc(sK2,sK3) ),
inference(superposition,[],[f500,f494]) ).
fof(f634,plain,
( ~ v4_pre_topc(u1_struct_0(sK2),sK2)
| ~ m1_subset_1(u1_struct_0(sK2),k1_zfmisc_1(u1_struct_0(sK2)))
| u1_struct_0(sK2) = k6_pre_topc(sK2,sK3) ),
inference(forward_subsumption_resolution,[],[f632,f193]) ).
fof(f636,plain,
( ~ v4_pre_topc(u1_struct_0(sK2),sK2)
| u1_struct_0(sK2) = k6_pre_topc(sK2,sK3)
| ~ spl19_6 ),
inference(forward_subsumption_resolution,[],[f634,f448]) ).
fof(f638,plain,
( spl19_18
| ~ spl19_16
| ~ spl19_6 ),
inference(avatar_split_clause,[],[f636,f447,f594,f627]) ).
fof(f657,plain,
( u1_struct_0(sK2) != u1_struct_0(sK2)
| v1_tops_1(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ spl19_18 ),
inference(superposition,[],[f240,f628]) ).
fof(f660,plain,
( v1_tops_1(sK3,sK2)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ spl19_18 ),
inference(trivial_inequality_removal,[],[f657]) ).
fof(f661,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_pre_topc(sK2)
| ~ spl19_18 ),
inference(forward_subsumption_resolution,[],[f660,f195]) ).
fof(f665,plain,
( ~ l1_pre_topc(sK2)
| ~ spl19_18 ),
inference(forward_subsumption_resolution,[],[f661,f193]) ).
fof(f677,plain,
( $false
| ~ spl19_18 ),
inference(forward_subsumption_resolution,[],[f665,f190]) ).
fof(f678,plain,
~ spl19_18,
inference(avatar_contradiction_clause,[],[f677]) ).
cnf(s7,plain,
spl19_6,
inference(sat_conversion,[],[f466]) ).
cnf(s14,plain,
spl19_13,
inference(sat_conversion,[],[f602]) ).
cnf(s16,plain,
( ~ spl19_13
| ~ spl19_15
| spl19_16 ),
inference(sat_conversion,[],[f612]) ).
cnf(s17,plain,
spl19_15,
inference(sat_conversion,[],[f620]) ).
cnf(s19,plain,
( ~ spl19_6
| ~ spl19_16
| spl19_18 ),
inference(sat_conversion,[],[f638]) ).
cnf(s23,plain,
~ spl19_18,
inference(sat_conversion,[],[f678]) ).
cnf(s25,plain,
( ~ spl19_6
| ~ spl19_16 ),
inference(rat,[],[s19,s23]) ).
cnf(s26,plain,
( ~ spl19_13
| spl19_16 ),
inference(rat,[],[s16,s17]) ).
cnf(s27,plain,
spl19_16,
inference(rat,[],[s26,s14]) ).
cnf(s28,plain,
~ spl19_6,
inference(rat,[],[s25,s27]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s7,s28]) ).
fof(f681,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP024+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.19 % Computer : n006.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 18:49:25 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 3.04/1.11 % (52502)Detected formulas, will run a generic FOF schedule.
% 3.04/1.11 % (52510)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=176177246:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.04/1.11 % (52510)Refutation not found, incomplete strategy
% 3.04/1.11 % (52510)------------------------------
% 3.04/1.11 % (52510)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11 % (52510)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11 % (52510)CaDiCaL version: 2.1.3
% 3.04/1.11 % (52510)Termination reason: Refutation not found, incomplete strategy
% 3.04/1.11 % (52510)Time elapsed: 0.001 s
% 3.04/1.11 % (52510)Peak memory usage: 88 MB
% 3.04/1.11 % (52510)Instructions burned: 1 (million)
% 3.04/1.11 % (52509)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=3309432225:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.04/1.11 % (52511)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2372545615:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.04/1.11 % (52507)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=3871446808:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.04/1.11 % (52513)dis-21_1_sil=8000:lcm=predicate:random_seed=248451619: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)
% 3.04/1.11 % (52508)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=294571270:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.04/1.11 % (52512)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2491884060:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.04/1.11 % (52512)First to succeed.
% 3.04/1.11 % (52512)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-52502"
% 3.04/1.11 % (52511)Instruction limit reached!
% 3.04/1.11 % (52511)------------------------------
% 3.04/1.11 % (52511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11 % (52511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11 % (52511)CaDiCaL version: 2.1.3
% 3.04/1.11 % (52511)Termination reason: Instruction limit
% 3.04/1.11 % (52511)Termination phase: Saturation
% 3.04/1.11 % (52511)Time elapsed: 0.070 s
% 3.04/1.11 % (52511)Peak memory usage: 88 MB
% 3.04/1.11 % (52511)Instructions burned: 120 (million)
% 3.04/1.11 % (52513)Instruction limit reached!
% 3.04/1.11 % (52513)------------------------------
% 3.04/1.11 % (52513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11 % (52513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11 % (52513)CaDiCaL version: 2.1.3
% 3.04/1.11 % (52513)Termination reason: Instruction limit
% 3.04/1.11 % (52513)Termination phase: Saturation
% 3.04/1.11 % (52513)Time elapsed: 0.074 s
% 3.04/1.11 % (52513)Peak memory usage: 91 MB
% 3.04/1.11 % (52513)Instructions burned: 130 (million)
% 3.04/1.11 % (52510)------------------------------
% 3.04/1.11 % (52510)------------------------------
% 3.04/1.11 % (52521)lrs+10_1_sil=8000:sp=occurrence:random_seed=3474980840:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.04/1.11 % (52522)lrs+10_1_sil=32000:urr=on:br=off:random_seed=572080512:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.04/1.11 % (52522)Refutation not found, incomplete strategy
% 3.04/1.11 % (52522)------------------------------
% 3.04/1.11 % (52522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.04/1.11 % (52522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.04/1.11 % (52522)CaDiCaL version: 2.1.3
% 3.04/1.11 % (52522)Termination reason: Refutation not found, incomplete strategy
% 3.04/1.11 % (52522)Time elapsed: 0.003 s
% 3.04/1.11 % (52522)Peak memory usage: 88 MB
% 3.04/1.11 % (52522)Instructions burned: 2 (million)
% 3.04/1.11 % (52523)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1830241174:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.04/1.11 % (52521)Also succeeded, but the first one will report.
% 3.04/1.11 % (52523)Also succeeded, but the first one will report.
% 3.04/1.11 % (52512)Refutation found. Thanks to Tanya!
% 3.04/1.11 % SZS status Theorem for theBenchmark
% 3.04/1.11 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.30 % (52512)------------------------------
% 0.19/1.30 % (52512)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.30 % (52512)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.30 % (52512)CaDiCaL version: 2.1.3
% 0.19/1.30 % (52512)Termination reason: Refutation
% 0.19/1.30 % (52512)Time elapsed: 0.016 s
% 0.19/1.30 % (52512)Peak memory usage: 90 MB
% 0.19/1.30 % (52512)Instructions burned: 20 (million)
% 0.19/1.30 % (52512)------------------------------
% 0.19/1.30 % (52512)------------------------------
% 0.19/1.30 % (52502)Success in time 0.452 s
% 0.19/1.30 % Vampire exiting
%------------------------------------------------------------------------------