%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:33:52 PM UTC 2026
% Result : Theorem 3.12s 1.08s
% Output : Refutation 3.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 8
% Syntax : Number of formulae : 103 ( 17 unt; 2 def)
% Number of atoms : 545 ( 95 equ)
% Maximal formula atoms : 14 ( 5 avg)
% Number of connectives : 808 ( 366 ~; 360 |; 54 &)
% ( 6 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 7 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 : 142 ( 0 sgn 131 !; 11 ?)
% 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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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,
( ~ v1_tsp_2(sK3,sK1)
& g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) = g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
& sK2 = sK3
& v1_tsp_2(sK2,sK0)
& m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1)))
& m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
& l1_pre_topc(sK1)
& l1_pre_topc(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f72]) ).
fof(f105,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))) ) )
& ( ( 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))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f87]) ).
fof(f106,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))) ) )
& ( ( 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))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f105]) ).
fof(f107,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))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X3] :
( X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f106]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( ( v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X1,X0)
| ( sK4(X0,X1) != X1
& v1_tsp_1(sK4(X0,X1),X0)
& r1_tarski(X1,sK4(X0,X1))
& m1_subset_1(sK4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ( v1_tsp_1(X1,X0)
& ! [X3] :
( X1 = X3
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ v1_tsp_2(X1,X0) ) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ l1_pre_topc(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f107]) ).
fof(f116,plain,
! [X0,X1] :
( ( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) )
& ( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ) ),
inference(nnf_transformation,[],[f44]) ).
fof(f117,plain,
l1_pre_topc(sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f118,plain,
l1_pre_topc(sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f119,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0))),
inference(cnf_transformation,[],[f104]) ).
fof(f120,plain,
m1_subset_1(sK3,k1_zfmisc_1(u1_struct_0(sK1))),
inference(cnf_transformation,[],[f104]) ).
fof(f121,plain,
v1_tsp_2(sK2,sK0),
inference(cnf_transformation,[],[f104]) ).
fof(f122,plain,
sK2 = sK3,
inference(cnf_transformation,[],[f104]) ).
fof(f123,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,[],[f104]) ).
fof(f124,plain,
~ v1_tsp_2(sK3,sK1),
inference(cnf_transformation,[],[f104]) ).
fof(f151,plain,
! [X3,X0,X1] :
( ~ v1_tsp_2(X1,X0)
| ~ v1_tsp_1(X3,X0)
| ~ r1_tarski(X1,X3)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| X1 = X3
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f152,plain,
! [X0,X1] :
( v1_tsp_1(X1,X0)
| ~ v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f153,plain,
! [X0,X1] :
( m1_subset_1(sK4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f154,plain,
! [X0,X1] :
( r1_tarski(X1,sK4(X0,X1))
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f155,plain,
! [X0,X1] :
( v1_tsp_1(sK4(X0,X1),X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f156,plain,
! [X0,X1] :
( sK4(X0,X1) != X1
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f159,plain,
! [X0] :
( m1_subset_1(u1_pre_topc(X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(X0))))
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f89]) ).
fof(f170,plain,
! [X2,X3,X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(X2,X3)
| X0 = X2
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(cnf_transformation,[],[f90]) ).
fof(f193,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f116]) ).
fof(f194,plain,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f116]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( 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(cnf_transformation,[],[f100]) ).
fof(f201,plain,
! [X3,X0,X1] :
( 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))
| ~ v1_tsp_1(X3,X0)
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f197]) ).
fof(f202,plain,
~ v1_tsp_2(sK2,sK1),
inference(forward_demodulation,[],[f124,f122]) ).
fof(f203,plain,
m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_demodulation,[],[f120,f122]) ).
fof(f256,definition,
( spl12_1
<=> m1_subset_1(u1_pre_topc(sK1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl12_1])],[avatar_definition]) ).
fof(f257,plain,
( m1_subset_1(u1_pre_topc(sK1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK1))))
| ~ spl12_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f258,plain,
( ~ m1_subset_1(u1_pre_topc(sK1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK1))))
| spl12_1 ),
inference(avatar_component_clause,[],[f256]) ).
fof(f267,plain,
( ~ l1_pre_topc(sK1)
| spl12_1 ),
inference(resolution,[],[f159,f258]) ).
fof(f268,plain,
( $false
| spl12_1 ),
inference(forward_subsumption_resolution,[],[f267,f118]) ).
fof(f269,plain,
spl12_1,
inference(avatar_contradiction_clause,[],[f268]) ).
fof(f310,plain,
! [X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| u1_struct_0(sK1) = X0
| ~ m1_subset_1(u1_pre_topc(sK1),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK1)))) ),
inference(superposition,[],[f170,f123]) ).
fof(f319,plain,
( ! [X0,X1] :
( g1_pre_topc(X0,X1) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| u1_struct_0(sK1) = X0 )
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f310,f257]) ).
fof(f328,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK0)
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| sK2 = X0
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0) ),
inference(resolution,[],[f151,f121]) ).
fof(f329,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK0)
| ~ r1_tarski(sK2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| sK2 = X0
| ~ l1_pre_topc(sK0) ),
inference(forward_subsumption_resolution,[],[f328,f119]) ).
fof(f330,plain,
! [X0] :
( ~ r1_tarski(sK2,X0)
| ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| sK2 = X0 ),
inference(forward_subsumption_resolution,[],[f329,f117]) ).
fof(f342,plain,
( u1_struct_0(sK0) = u1_struct_0(sK1)
| ~ spl12_1 ),
inference(equality_resolution,[],[f319]) ).
fof(f348,plain,
( ! [X0] :
( m1_subset_1(sK4(sK1,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_1(X0,sK1)
| v1_tsp_2(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK1) )
| ~ spl12_1 ),
inference(superposition,[],[f153,f342]) ).
fof(f353,plain,
( ! [X0] :
( m1_subset_1(sK4(sK1,X0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_tsp_1(X0,sK1)
| v1_tsp_2(X0,sK1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl12_1 ),
inference(forward_subsumption_resolution,[],[f348,f118]) ).
fof(f358,plain,
! [X0] :
( ~ v1_tsp_1(X0,sK0)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| sK2 = X0
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0)) ),
inference(resolution,[],[f330,f193]) ).
fof(f440,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| sK2 = X0
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(sK0)
| ~ l1_pre_topc(X1) ),
inference(resolution,[],[f358,f201]) ).
fof(f444,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| sK2 = X0
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ v1_tsp_1(X0,X1)
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(sK0)
| ~ l1_pre_topc(X1) ),
inference(duplicate_literal_removal,[],[f440]) ).
fof(f447,plain,
! [X0,X1] :
( ~ v1_tsp_1(X0,X1)
| sK2 = X0
| ~ m1_subset_1(sK2,k1_zfmisc_1(X0))
| g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(X0,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(forward_subsumption_resolution,[],[f444,f117]) ).
fof(f616,plain,
! [X0,X1] :
( sK2 = sK4(X0,X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK4(X0,X1)))
| 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(X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f447,f155]) ).
fof(f617,plain,
! [X0,X1] :
( sK2 = sK4(X0,X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(sK4(X0,X1)))
| 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(X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(duplicate_literal_removal,[],[f616]) ).
fof(f620,plain,
! [X0,X1] :
( ~ m1_subset_1(sK2,k1_zfmisc_1(sK4(X0,X1)))
| sK2 = sK4(X0,X1)
| 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(X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f617,f153]) ).
fof(f655,plain,
! [X0,X1] :
( ~ r1_tarski(sK2,sK4(X0,X1))
| 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(X0,X1),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(X1,X0)
| v1_tsp_2(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sK2 = sK4(X0,X1) ),
inference(resolution,[],[f620,f194]) ).
fof(f659,plain,
! [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(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK2,X0)
| v1_tsp_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| sK2 = sK4(X0,sK2)
| ~ v1_tsp_1(sK2,X0)
| v1_tsp_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f655,f154]) ).
fof(f661,plain,
! [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(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_1(sK2,X0)
| v1_tsp_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| sK2 = sK4(X0,sK2) ),
inference(duplicate_literal_removal,[],[f659]) ).
fof(f662,plain,
! [X0] :
( ~ v1_tsp_1(sK2,X0)
| ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(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_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(forward_subsumption_resolution,[],[f661,f156]) ).
fof(f670,plain,
! [X0,X1] :
( ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(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_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| 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(sK2,X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X0)
| ~ l1_pre_topc(X1) ),
inference(resolution,[],[f662,f201]) ).
fof(f673,plain,
! [X0,X1] :
( ~ v1_tsp_1(sK2,X1)
| ~ l1_pre_topc(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_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(duplicate_literal_removal,[],[f670]) ).
fof(f724,plain,
! [X0,X1] :
( ~ l1_pre_topc(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_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ v1_tsp_2(sK2,X1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1) ),
inference(resolution,[],[f673,f152]) ).
fof(f725,plain,
! [X0,X1] :
( ~ v1_tsp_2(sK2,X1)
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| v1_tsp_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(X1),u1_pre_topc(X1))
| ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_pre_topc(X1)
| ~ l1_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f724]) ).
fof(f727,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_2(sK2,X0)
| ~ m1_subset_1(sK2,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))
| ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| ~ l1_pre_topc(X0) ),
inference(resolution,[],[f725,f121]) ).
fof(f730,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_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| ~ l1_pre_topc(X0) ),
inference(duplicate_literal_removal,[],[f727]) ).
fof(f732,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_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f730,f119]) ).
fof(f734,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_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(X0) ),
inference(forward_subsumption_resolution,[],[f732,f117]) ).
fof(f747,definition,
( spl12_18
<=> ! [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)
| ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_2(sK2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl12_18])],[avatar_definition]) ).
fof(f748,plain,
( ! [X0] :
( ~ m1_subset_1(sK4(X0,sK2),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(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(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| v1_tsp_2(sK2,X0) )
| ~ spl12_18 ),
inference(avatar_component_clause,[],[f747]) ).
fof(f750,plain,
spl12_18,
inference(avatar_split_clause,[],[f734,f747]) ).
fof(f751,plain,
( ~ l1_pre_topc(sK1)
| g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_tsp_2(sK2,sK1)
| ~ v1_tsp_1(sK2,sK1)
| v1_tsp_2(sK2,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl12_1
| ~ spl12_18 ),
inference(resolution,[],[f748,f353]) ).
fof(f759,plain,
( ~ l1_pre_topc(sK1)
| g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_tsp_2(sK2,sK1)
| ~ v1_tsp_1(sK2,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl12_1
| ~ spl12_18 ),
inference(duplicate_literal_removal,[],[f751]) ).
fof(f761,plain,
( g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_tsp_2(sK2,sK1)
| ~ v1_tsp_1(sK2,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_subsumption_resolution,[],[f759,f118]) ).
fof(f763,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| v1_tsp_2(sK2,sK1)
| ~ v1_tsp_1(sK2,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_subsumption_resolution,[],[f761,f123]) ).
fof(f765,plain,
( v1_tsp_2(sK2,sK1)
| ~ v1_tsp_1(sK2,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_subsumption_resolution,[],[f763,f203]) ).
fof(f767,plain,
( ~ v1_tsp_1(sK2,sK1)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_subsumption_resolution,[],[f765,f202]) ).
fof(f769,plain,
( ~ v1_tsp_1(sK2,sK1)
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_subsumption_resolution,[],[f767,f119]) ).
fof(f790,plain,
( ! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ v1_tsp_1(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK1)))
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(sK1)
| ~ l1_pre_topc(X0) )
| ~ spl12_1
| ~ spl12_18 ),
inference(resolution,[],[f769,f201]) ).
fof(f792,plain,
( ! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ v1_tsp_1(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(sK1)
| ~ l1_pre_topc(X0) )
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_subsumption_resolution,[],[f790,f203]) ).
fof(f793,plain,
( ! [X0] :
( g1_pre_topc(u1_struct_0(X0),u1_pre_topc(X0)) != g1_pre_topc(u1_struct_0(sK1),u1_pre_topc(sK1))
| ~ v1_tsp_1(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_subsumption_resolution,[],[f792,f118]) ).
fof(f794,plain,
( ! [X0] :
( ~ v1_tsp_1(sK2,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(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_demodulation,[],[f793,f123]) ).
fof(f829,plain,
( ! [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(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0)
| ~ v1_tsp_2(sK2,X0)
| ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_pre_topc(X0) )
| ~ spl12_1
| ~ spl12_18 ),
inference(resolution,[],[f794,f152]) ).
fof(f830,plain,
( ! [X0] :
( ~ v1_tsp_2(sK2,X0)
| ~ m1_subset_1(sK2,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(sK0),u1_pre_topc(sK0)) )
| ~ spl12_1
| ~ spl12_18 ),
inference(duplicate_literal_removal,[],[f829]) ).
fof(f882,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0)) != g1_pre_topc(u1_struct_0(sK0),u1_pre_topc(sK0))
| ~ spl12_1
| ~ spl12_18 ),
inference(resolution,[],[f830,f121]) ).
fof(f886,plain,
( ~ m1_subset_1(sK2,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_pre_topc(sK0)
| ~ spl12_1
| ~ spl12_18 ),
inference(trivial_inequality_removal,[],[f882]) ).
fof(f888,plain,
( ~ l1_pre_topc(sK0)
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_subsumption_resolution,[],[f886,f119]) ).
fof(f890,plain,
( $false
| ~ spl12_1
| ~ spl12_18 ),
inference(forward_subsumption_resolution,[],[f888,f117]) ).
fof(f891,plain,
( ~ spl12_1
| ~ spl12_18 ),
inference(avatar_contradiction_clause,[],[f890]) ).
cnf(s2,plain,
spl12_1,
inference(sat_conversion,[],[f269]) ).
cnf(s15,plain,
spl12_18,
inference(sat_conversion,[],[f750]) ).
cnf(s20,plain,
( ~ spl12_1
| ~ spl12_18 ),
inference(sat_conversion,[],[f891]) ).
cnf(s22,plain,
~ spl12_1,
inference(rat,[],[s20,s15]) ).
cnf(s26,plain,
$false,
inference(rat,[],[s2,s22]) ).
fof(f893,plain,
$false,
inference(avatar_sat_refutation,[],[s26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP023+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17 % Computer : n014.cluster.edu
% 0.09/0.17 % Model : x86_64 x86_64
% 0.09/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17 % Memory : 8046.5625MB
% 0.09/0.17 % OS : Linux 6.8.0-71-generic
% 0.09/0.17 % CPULimit : 300
% 0.09/0.17 % WCLimit : 300
% 0.09/0.17 % DateTime : Mon Sep 28 18:49:01 UTC 2026
% 0.09/0.17 % CPUTime :
% 0.09/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 Running first-order theorem proving
% 0.09/0.20 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.12/1.08 % (2048111)Detected formulas, will run a generic FOF schedule.
% 3.12/1.08 % (2048119)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2839132933:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.12/1.08 % (2048119)Refutation not found, incomplete strategy
% 3.12/1.08 % (2048119)------------------------------
% 3.12/1.08 % (2048119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.08 % (2048119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.08 % (2048119)CaDiCaL version: 2.1.3
% 3.12/1.08 % (2048119)Termination reason: Refutation not found, incomplete strategy
% 3.12/1.08 % (2048119)Time elapsed: 0.002 s
% 3.12/1.08 % (2048119)Peak memory usage: 89 MB
% 3.12/1.08 % (2048119)Instructions burned: 3 (million)
% 3.12/1.08 % (2048122)dis-21_1_sil=8000:lcm=predicate:random_seed=2040643719: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)
% 3.12/1.08 % (2048120)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1759938864:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.12/1.08 % (2048121)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3578752513:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.12/1.08 % (2048116)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=1041646446:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.12/1.08 % (2048118)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=3498132516:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.12/1.08 % (2048117)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=1988804249:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.12/1.08 % (2048121)First to succeed.
% 3.12/1.08 % (2048121)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2048111"
% 3.12/1.08 % (2048120)Also succeeded, but the first one will report.
% 3.12/1.08 % (2048122)Instruction limit reached!
% 3.12/1.08 % (2048122)------------------------------
% 3.12/1.08 % (2048122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.12/1.08 % (2048122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.12/1.08 % (2048122)CaDiCaL version: 2.1.3
% 3.12/1.08 % (2048122)Termination reason: Instruction limit
% 3.12/1.08 % (2048122)Termination phase: Saturation
% 3.12/1.08 % (2048122)Time elapsed: 0.074 s
% 3.12/1.08 % (2048122)Peak memory usage: 89 MB
% 3.12/1.08 % (2048122)Instructions burned: 130 (million)
% 3.12/1.08 % (2048119)------------------------------
% 3.12/1.08 % (2048119)------------------------------
% 3.12/1.08 % (2048130)lrs+10_1_sil=8000:sp=occurrence:random_seed=495861437:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.12/1.08 % (2048131)lrs+10_1_sil=32000:urr=on:br=off:random_seed=939470474:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.12/1.08 % (2048131)Also succeeded, but the first one will report.
% 3.12/1.08 % (2048130)Also succeeded, but the first one will report.
% 3.12/1.08 % (2048121)Refutation found. Thanks to Tanya!
% 3.12/1.08 % SZS status Theorem for theBenchmark
% 3.12/1.08 % SZS output start Proof for theBenchmark
% See solution above
% 3.66/1.28 % (2048121)------------------------------
% 3.66/1.28 % (2048121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.28 % (2048121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.28 % (2048121)CaDiCaL version: 2.1.3
% 3.66/1.28 % (2048121)Termination reason: Refutation
% 3.66/1.28 % (2048121)Time elapsed: 0.031 s
% 3.66/1.28 % (2048121)Peak memory usage: 90 MB
% 3.66/1.28 % (2048121)Instructions burned: 43 (million)
% 3.66/1.28 % (2048121)------------------------------
% 3.66/1.28 % (2048121)------------------------------
% 3.66/1.28 % (2048111)Success in time 0.436 s
% 3.66/1.28 % Vampire exiting
%------------------------------------------------------------------------------