%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 02:34:22 PM UTC 2026
% Result : Theorem 0.21s 0.30s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 107 ( 20 unt; 2 def)
% Number of atoms : 393 ( 75 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 525 ( 239 ~; 232 |; 26 &)
% ( 6 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 9 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 107 ( 0 sgn 99 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_2(X2,X0) )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_tsp_2) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_2(X2,X0) )
=> v1_tsp_2(X3,X1) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f21,axiom,
! [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)
& ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( ( v1_tsp_1(X2,X0)
& r1_tarski(X1,X2) )
=> X1 = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_tsp_2) ).
fof(f28,axiom,
! [X0] :
( l1_pre_topc(X0)
=> m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_u1_pre_topc) ).
fof(f35,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> ! [X2,X3] :
( g1_pre_topc(X0,X1) = g1_pre_topc(X2,X3)
=> ( X0 = X2
& X1 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',free_g1_pre_topc) ).
fof(f44,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(f47,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( l1_pre_topc(X1)
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
=> ( ( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_1(X2,X0) )
=> v1_tsp_1(X3,X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_tsp_1) ).
fof(f71,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_2(X2,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X1) )
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f72,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ v1_tsp_2(X3,X1)
& g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) = g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
& X2 = X3
& v1_tsp_2(X2,X0)
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
& m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
& l1_pre_topc(X1) )
& l1_pre_topc(X0) ),
inference(flattening,[],[f71]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ( v1_tsp_2(X1,X0)
<=> ( v1_tsp_1(X1,X0)
& ! [X2] :
( X1 = X2
| ~ v1_tsp_1(X2,X0)
| ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) ) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f86]) ).
fof(f89,plain,
! [X0] :
( m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f90,plain,
! [X0,X1] :
( ! [X2,X3] :
( ( X0 = X2
& X1 = X3 )
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3) )
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f35]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v1_tsp_1(X3,X1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| X2 != X3
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v1_tsp_1(X3,X1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| X2 != X3
| ~ v1_tsp_1(X2,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X1) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f99]) ).
fof(f104,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f72]) ).
fof(f105,plain,
v1_tsp_2(sK2,sK0),
inference(cnf_transformation,[],[f72]) ).
fof(f106,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f72]) ).
fof(f107,plain,
g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) = g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1)),
inference(cnf_transformation,[],[f72]) ).
fof(f108,plain,
~ v1_tsp_2(sK3,sK1),
inference(cnf_transformation,[],[f72]) ).
fof(f109,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f72]) ).
fof(f110,plain,
l1_pre_topc(sK1),
inference(cnf_transformation,[],[f72]) ).
fof(f111,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f72]) ).
fof(f138,plain,
! [X0,X1] :
( v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| m1_subset_1(sK4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f139,plain,
! [X0,X1] :
( r1_tarski(X1,sK4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f140,plain,
! [X0,X1] :
( v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(sK4(X0,X1),X0)
| ~ v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f141,plain,
! [X0,X1] :
( v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sK4(X0,X1) != X1
| ~ v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f142,plain,
! [X2,X0,X1] :
( ~ r1_tarski(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X2,X0)
| X1 = X2
| ~ v1_tsp_2(X1,X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f143,plain,
! [X0,X1] :
( ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f87]) ).
fof(f146,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0)))) ),
inference(cnf_transformation,[],[f89]) ).
fof(f156,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f90]) ).
fof(f157,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f90]) ).
fof(f180,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f181,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f44]) ).
fof(f184,plain,
! [X2,X3,X0,X1] :
( ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_tsp_1(X2,X0)
| X2 != X3
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| v1_tsp_1(X3,X1) ),
inference(cnf_transformation,[],[f100]) ).
fof(f188,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0))),
inference(definition_unfolding,[],[f109,f106]) ).
fof(f189,plain,
v1_tsp_2(sK3,sK0),
inference(definition_unfolding,[],[f105,f106]) ).
fof(f190,plain,
! [X3,X0,X1] :
( ~ v1_tsp_1(X3,X0)
| v1_tsp_1(X3,X1)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ l1_pre_topc(X1) ),
inference(equality_resolution,[],[f184]) ).
fof(f244,plain,
m1_subset_1(u1_pre_topc(sK0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))),
inference(resolution,[],[f146,f111]) ).
fof(f263,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
| v1_tsp_1(sK3,sK0)
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f143,f189]) ).
fof(f264,plain,
( v1_tsp_1(sK3,sK0)
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f263,f188]) ).
fof(f265,plain,
v1_tsp_1(sK3,sK0),
inference(forward_subsumption_resolution,[],[f264,f111]) ).
fof(f267,plain,
! [X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| u1_pre_topc(sK0) = X1 ),
inference(resolution,[],[f156,f244]) ).
fof(f277,plain,
! [X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| u1_struct_0(sK0) = X0 ),
inference(resolution,[],[f157,f244]) ).
fof(f284,plain,
( g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| u1_pre_topc(sK0) = u1_pre_topc(sK1) ),
inference(superposition,[],[f267,f107]) ).
fof(f286,plain,
u1_pre_topc(sK0) = u1_pre_topc(sK1),
inference(trivial_inequality_removal,[],[f284]) ).
fof(f287,plain,
! [X0,X1] :
( v1_tsp_2(X0,X1)
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| m1_subset_1(X0,k1_zfmisc_1(sK4(X1,X0))) ),
inference(resolution,[],[f139,f180]) ).
fof(f289,plain,
g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) = g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK0)),
inference(superposition,[],[f107,f286]) ).
fof(f290,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_tsp_1(sK4(sK1,sK3),sK1)
| ~ v1_tsp_1(sK3,sK1)
| ~ l1_pre_topc(sK1) ),
inference(resolution,[],[f140,f108]) ).
fof(f293,plain,
( v1_tsp_1(sK4(sK1,sK3),sK1)
| ~ v1_tsp_1(sK3,sK1)
| ~ l1_pre_topc(sK1) ),
inference(forward_subsumption_resolution,[],[f290,f104]) ).
fof(f294,plain,
( v1_tsp_1(sK4(sK1,sK3),sK1)
| ~ v1_tsp_1(sK3,sK1) ),
inference(forward_subsumption_resolution,[],[f293,f110]) ).
fof(f296,definition,
( spl12_3
<=> v1_tsp_1(sK3,sK1) ),
introduced(definition,[new_symbols(definition,[spl12_3])],[avatar_definition]) ).
fof(f297,plain,
( v1_tsp_1(sK3,sK1)
| ~ spl12_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f298,plain,
( ~ v1_tsp_1(sK3,sK1)
| spl12_3 ),
inference(avatar_component_clause,[],[f296]) ).
fof(f300,definition,
( spl12_4
<=> v1_tsp_1(sK4(sK1,sK3),sK1) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f302,plain,
( v1_tsp_1(sK4(sK1,sK3),sK1)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f300]) ).
fof(f303,plain,
( ~ spl12_3
| spl12_4 ),
inference(avatar_split_clause,[],[f294,f300,f296]) ).
fof(f304,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| sK3 != sK4(sK1,sK3)
| ~ v1_tsp_1(sK3,sK1)
| ~ l1_pre_topc(sK1) ),
inference(resolution,[],[f141,f108]) ).
fof(f311,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_tsp_1(sK3,sK1)
| ~ l1_pre_topc(sK1) ),
inference(resolution,[],[f138,f108]) ).
fof(f317,plain,
! [X2,X0,X1] :
( ~ v1_tsp_2(X0,X1)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_1(X2,X1)
| X0 = X2
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X0,k1_zfmisc_1(X2)) ),
inference(resolution,[],[f142,f181]) ).
fof(f324,plain,
! [X0] :
( v1_tsp_1(sK3,X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(sK0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f190,f265]) ).
fof(f326,plain,
( ! [X0] :
( ~ v1_tsp_1(sK3,X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ l1_pre_topc(sK1) )
| spl12_3 ),
inference(resolution,[],[f190,f298]) ).
fof(f330,plain,
( ! [X0] :
( ~ v1_tsp_1(sK3,X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ l1_pre_topc(sK1) )
| spl12_3 ),
inference(forward_subsumption_resolution,[],[f326,f104]) ).
fof(f331,plain,
! [X0] :
( v1_tsp_1(sK3,X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(sK0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f324,f188]) ).
fof(f332,plain,
( ! [X0] :
( ~ v1_tsp_1(sK3,X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1)) )
| spl12_3 ),
inference(forward_subsumption_resolution,[],[f330,f110]) ).
fof(f333,plain,
! [X0] :
( v1_tsp_1(sK3,X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f331,f111]) ).
fof(f334,plain,
( ! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ v1_tsp_1(sK3,X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| spl12_3 ),
inference(forward_demodulation,[],[f332,f107]) ).
fof(f335,plain,
( ! [X0] :
( ~ l1_pre_topc(X0)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) )
| spl12_3 ),
inference(forward_subsumption_resolution,[],[f334,f333]) ).
fof(f337,plain,
( g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| u1_struct_0(sK1) = u1_struct_0(sK0) ),
inference(superposition,[],[f277,f289]) ).
fof(f339,plain,
u1_struct_0(sK1) = u1_struct_0(sK0),
inference(trivial_inequality_removal,[],[f337]) ).
fof(f381,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| spl12_3 ),
inference(resolution,[],[f335,f110]) ).
fof(f395,plain,
( g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| spl12_3 ),
inference(forward_subsumption_resolution,[],[f381,f104]) ).
fof(f408,plain,
( $false
| spl12_3 ),
inference(forward_subsumption_resolution,[],[f395,f107]) ).
fof(f409,plain,
spl12_3,
inference(avatar_contradiction_clause,[],[f408]) ).
fof(f410,plain,
( sK3 != sK4(sK1,sK3)
| ~ v1_tsp_1(sK3,sK1)
| ~ l1_pre_topc(sK1) ),
inference(forward_subsumption_resolution,[],[f304,f104]) ).
fof(f411,plain,
( m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_tsp_1(sK3,sK1)
| ~ l1_pre_topc(sK1) ),
inference(forward_subsumption_resolution,[],[f311,f104]) ).
fof(f412,plain,
( sK3 != sK4(sK1,sK3)
| ~ l1_pre_topc(sK1)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f410,f297]) ).
fof(f413,plain,
( m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ l1_pre_topc(sK1)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f411,f297]) ).
fof(f414,plain,
( sK3 != sK4(sK1,sK3)
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f412,f110]) ).
fof(f415,plain,
( m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f413,f110]) ).
fof(f416,plain,
( m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl12_3 ),
inference(forward_demodulation,[],[f415,f339]) ).
fof(f421,plain,
( ! [X0] :
( v1_tsp_1(sK4(sK1,sK3),X0)
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(sK1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ l1_pre_topc(X0) )
| ~ spl12_4 ),
inference(resolution,[],[f302,f190]) ).
fof(f422,plain,
( ! [X0] :
( v1_tsp_1(sK4(sK1,sK3),X0)
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ l1_pre_topc(X0) )
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f421,f110]) ).
fof(f423,plain,
( ! [X0] :
( ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_tsp_1(sK4(sK1,sK3),X0)
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ l1_pre_topc(X0) )
| ~ spl12_4 ),
inference(forward_demodulation,[],[f422,f339]) ).
fof(f424,plain,
( ! [X0] :
( v1_tsp_1(sK4(sK1,sK3),X0)
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ l1_pre_topc(X0) )
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f423,f416]) ).
fof(f425,plain,
( ! [X0] :
( v1_tsp_1(sK4(sK1,sK3),X0)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_demodulation,[],[f424,f107]) ).
fof(f652,plain,
( ~ l1_pre_topc(sK1)
| ~ v1_tsp_1(sK3,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3))) ),
inference(resolution,[],[f287,f108]) ).
fof(f655,plain,
( ~ v1_tsp_1(sK3,sK1)
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3))) ),
inference(forward_subsumption_resolution,[],[f652,f110]) ).
fof(f656,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
| m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3)))
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f655,f297]) ).
fof(f657,plain,
( m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3)))
| ~ spl12_3 ),
inference(forward_subsumption_resolution,[],[f656,f104]) ).
fof(f658,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| ~ v1_tsp_1(X0,sK0)
| sK3 = X0
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0)) ),
inference(resolution,[],[f317,f189]) ).
fof(f667,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_1(X0,sK0)
| sK3 = X0
| ~ m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f658,f111]) ).
fof(f668,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| sK3 = X0
| ~ m1_subset_1(sK3,k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[],[f667,f188]) ).
fof(f780,plain,
( g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK0)))
| sK3 = sK4(sK1,sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3)))
| ~ spl12_3
| ~ spl12_4 ),
inference(resolution,[],[f425,f668]) ).
fof(f781,plain,
( g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| sK3 = sK4(sK1,sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3)))
| ~ spl12_3
| ~ spl12_4 ),
inference(duplicate_literal_removal,[],[f780]) ).
fof(f782,plain,
( ~ m1_subset_1(sK4(sK1,sK3),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| sK3 = sK4(sK1,sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3)))
| ~ spl12_3
| ~ spl12_4 ),
inference(trivial_inequality_removal,[],[f781]) ).
fof(f786,plain,
( ~ l1_pre_topc(sK0)
| sK3 = sK4(sK1,sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3)))
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f782,f416]) ).
fof(f788,plain,
( sK3 = sK4(sK1,sK3)
| ~ m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3)))
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f786,f111]) ).
fof(f791,plain,
( ~ m1_subset_1(sK3,k1_zfmisc_1(sK4(sK1,sK3)))
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f788,f414]) ).
fof(f792,plain,
( $false
| ~ spl12_3
| ~ spl12_4 ),
inference(forward_subsumption_resolution,[],[f791,f657]) ).
fof(f793,plain,
( ~ spl12_3
| ~ spl12_4 ),
inference(avatar_contradiction_clause,[],[f792]) ).
cnf(s3,plain,
( ~ spl12_3
| spl12_4 ),
inference(sat_conversion,[],[f303]) ).
cnf(s7,plain,
spl12_3,
inference(sat_conversion,[],[f409]) ).
cnf(s11,plain,
( ~ spl12_3
| ~ spl12_4 ),
inference(sat_conversion,[],[f793]) ).
cnf(s12,plain,
~ spl12_4,
inference(rat,[],[s11,s7]) ).
cnf(s13,plain,
$false,
inference(rat,[],[s3,s12,s7]) ).
fof(f794,plain,
$false,
inference(avatar_sat_refutation,[],[s13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.19 % Computer : n017.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 18:45:22 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.23 Running first-order model finding
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.30 % (3875363)Will run a generic schedule for satisfiability detection.
% 0.21/0.30 % (3875371)dis+10_1_sil=32000:sp=arity:random_seed=1039605196:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.21/0.30 % (3875369)% WARNING: option uhcvi not known.
% 0.21/0.30 % (3875372)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=112168289:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.30 % (3875368)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2106990164_2999 on theBenchmark for (2999ds/0Mi)
% 0.21/0.30 % (3875369)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=272511599:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.21/0.30 % (3875373)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2557349820:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.21/0.30 % (3875370)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1768661742:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.21/0.30 % (3875374)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3331955989:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.21/0.30 % TRYING [1]
% 0.21/0.30 % TRYING [2]
% 0.21/0.30 % TRYING [3]
% 0.21/0.30 % TRYING [4]
% 0.21/0.30 % TRYING [5]
% 0.21/0.30 % (3875372) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3875363-3875372"...
% 0.21/0.30 % (3875372)...printing done.
% 0.21/0.30 % (3875372)Refutation found. Thanks to Tanya!
% 0.21/0.30 % SZS status Theorem for theBenchmark
% 0.21/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.31 % (3875372)------------------------------
% 0.21/0.31 % (3875372)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.31 % (3875372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.31 % (3875372)CaDiCaL version: 2.1.3
% 0.21/0.31 % (3875372)Termination reason: Refutation
% 0.21/0.31 % (3875372)Time elapsed: 0.025 s
% 0.21/0.31 % (3875372)Peak memory usage: 13 MB
% 0.21/0.31 % (3875372)Instructions burned: 38 (million)
% 0.21/0.31 % (3875363)Success in time 0.068 s
% 0.21/0.31 % Vampire exiting
%------------------------------------------------------------------------------