%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP035+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 02:33:59 PM UTC 2026
% Result : Theorem 4.20s 2.06s
% Output : Refutation 9.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 105 ( 20 unt; 5 def)
% Number of atoms : 547 ( 29 equ)
% Maximal formula atoms : 15 ( 5 avg)
% Number of connectives : 760 ( 318 ~; 345 |; 65 &)
% ( 10 <=>; 22 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 19 ( 17 usr; 6 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-4 aty)
% Number of variables : 79 ( 0 sgn 71 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3567,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f3570,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0)
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m1_pre_topc(X1,X0) )
=> ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_tsp_2) ).
fof(f3620,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v3_borsuk_1(X2,X0,X1)
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X1))
=> ( X3 = X4
=> k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l33_tsp_2) ).
fof(f3625,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_tsp_2) ).
fof(f3626,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_tsp_2) ).
fof(f3627,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X1))
=> ( X2 = X3
=> k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3))) = k6_pre_topc(X0,k1_struct_0(X0,X2)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3626]) ).
fof(f3657,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(ennf_transformation,[],[f3570]) ).
fof(f3658,plain,
! [X0,X1] :
( ( v1_funct_1(k1_tsp_2(X0,X1))
& v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(flattening,[],[f3657]) ).
fof(f3757,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3620]) ).
fof(f3758,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4))) = k6_pre_topc(X0,k1_struct_0(X0,X3))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3757]) ).
fof(f3767,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3625]) ).
fof(f3768,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k1_tsp_2(X0,X1)
<=> v3_borsuk_1(X2,X0,X1) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3767]) ).
fof(f3769,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k6_pre_topc(X0,k1_struct_0(X0,X2)) != k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3)))
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3627]) ).
fof(f3770,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( k6_pre_topc(X0,k1_struct_0(X0,X2)) != k5_pre_topc(X0,X1,k1_tsp_2(X0,X1),k6_pre_topc(X1,k1_struct_0(X1,X3)))
& X2 = X3
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
& ~ v3_struct_0(X1)
& v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
& ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) ),
inference(flattening,[],[f3769]) ).
fof(f4187,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3567]) ).
fof(f4446,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k1_tsp_2(X0,X1)
| ~ v3_borsuk_1(X2,X0,X1) )
& ( v3_borsuk_1(X2,X0,X1)
| k1_tsp_2(X0,X1) != X2 ) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f3768]) ).
fof(f4447,plain,
( k6_pre_topc(sK50,k1_struct_0(sK50,sK52)) != k5_pre_topc(sK50,sK51,k1_tsp_2(sK50,sK51),k6_pre_topc(sK51,k1_struct_0(sK51,sK53)))
& sK52 = sK53
& m1_subset_1(sK53,u1_struct_0(sK51))
& m1_subset_1(sK52,u1_struct_0(sK50))
& ~ v3_struct_0(sK51)
& v2_tsp_2(sK51,sK50)
& m2_tsp_1(sK51,sK50)
& ~ v3_struct_0(sK50)
& v2_pre_topc(sK50)
& l1_pre_topc(sK50) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK50,sK51,sK52,sK53]),skolemize(X0,sK50),skolemize(X1,sK51),skolemize(X2,sK52),skolemize(X3,sK53)],[f3770]) ).
fof(f4620,plain,
! [X0] :
( ! [X1] :
( ( m2_tsp_1(X1,X0)
| ~ m1_pre_topc(X1,X0) )
& ( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0) ) )
| ~ l1_pre_topc(X0) ),
inference(nnf_transformation,[],[f4187]) ).
fof(f4733,plain,
! [X0,X1] :
( m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f3658]) ).
fof(f4734,plain,
! [X0,X1] :
( v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f3658]) ).
fof(f4735,plain,
! [X0,X1] :
( v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f3658]) ).
fof(f4736,plain,
! [X0,X1] :
( v1_funct_1(k1_tsp_2(X0,X1))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m1_pre_topc(X1,X0) ),
inference(cnf_transformation,[],[f3658]) ).
fof(f4889,plain,
! [X2,X3,X0,X1,X4] :
( k6_pre_topc(X0,k1_struct_0(X0,X3)) = k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4)))
| X3 != X4
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X3,u1_struct_0(X0))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3758]) ).
fof(f4894,plain,
! [X2,X0,X1] :
( v3_borsuk_1(X2,X0,X1)
| k1_tsp_2(X0,X1) != X2
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4446]) ).
fof(f4896,plain,
l1_pre_topc(sK50),
inference(cnf_transformation,[],[f4447]) ).
fof(f4897,plain,
v2_pre_topc(sK50),
inference(cnf_transformation,[],[f4447]) ).
fof(f4898,plain,
~ v3_struct_0(sK50),
inference(cnf_transformation,[],[f4447]) ).
fof(f4899,plain,
m2_tsp_1(sK51,sK50),
inference(cnf_transformation,[],[f4447]) ).
fof(f4900,plain,
v2_tsp_2(sK51,sK50),
inference(cnf_transformation,[],[f4447]) ).
fof(f4901,plain,
~ v3_struct_0(sK51),
inference(cnf_transformation,[],[f4447]) ).
fof(f4902,plain,
m1_subset_1(sK52,u1_struct_0(sK50)),
inference(cnf_transformation,[],[f4447]) ).
fof(f4903,plain,
m1_subset_1(sK53,u1_struct_0(sK51)),
inference(cnf_transformation,[],[f4447]) ).
fof(f4904,plain,
sK52 = sK53,
inference(cnf_transformation,[],[f4447]) ).
fof(f4905,plain,
k6_pre_topc(sK50,k1_struct_0(sK50,sK52)) != k5_pre_topc(sK50,sK51,k1_tsp_2(sK50,sK51),k6_pre_topc(sK51,k1_struct_0(sK51,sK53))),
inference(cnf_transformation,[],[f4447]) ).
fof(f5451,plain,
! [X0,X1] :
( m1_pre_topc(X1,X0)
| ~ m2_tsp_1(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4620]) ).
fof(f5866,plain,
! [X2,X0,X1,X4] :
( k6_pre_topc(X0,k1_struct_0(X0,X4)) = k5_pre_topc(X0,X1,X2,k6_pre_topc(X1,k1_struct_0(X1,X4)))
| ~ m1_subset_1(X4,u1_struct_0(X1))
| ~ m1_subset_1(X4,u1_struct_0(X0))
| ~ v3_borsuk_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f4889]) ).
fof(f5871,plain,
! [X0,X1] :
( ~ v1_funct_2(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(k1_tsp_2(X0,X1))
| v3_borsuk_1(k1_tsp_2(X0,X1),X0,X1)
| ~ v5_pre_topc(k1_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k1_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(equality_resolution,[],[f4894]) ).
fof(f5997,definition,
( spl204_3
<=> m1_pre_topc(sK51,sK50) ),
introduced(definition,[new_symbols(definition,[spl204_3])],[avatar_definition]) ).
fof(f5998,plain,
( ~ m1_pre_topc(sK51,sK50)
| spl204_3 ),
inference(avatar_component_clause,[],[f5997]) ).
fof(f6035,plain,
( ~ m2_tsp_1(sK51,sK50)
| ~ l1_pre_topc(sK50)
| spl204_3 ),
inference(resolution,[],[f5998,f5451]) ).
fof(f6038,plain,
( ~ l1_pre_topc(sK50)
| spl204_3 ),
inference(forward_subsumption_resolution,[],[f6035,f4899]) ).
fof(f6043,plain,
( $false
| spl204_3 ),
inference(forward_subsumption_resolution,[],[f6038,f4896]) ).
fof(f6044,plain,
spl204_3,
inference(avatar_contradiction_clause,[],[f6043]) ).
fof(f6050,plain,
m1_subset_1(sK52,u1_struct_0(sK51)),
inference(forward_demodulation,[],[f4903,f4904]) ).
fof(f6115,plain,
k6_pre_topc(sK50,k1_struct_0(sK50,sK52)) != k5_pre_topc(sK50,sK51,k1_tsp_2(sK50,sK51),k6_pre_topc(sK51,k1_struct_0(sK51,sK52))),
inference(forward_demodulation,[],[f4905,f4904]) ).
fof(f6131,plain,
( k6_pre_topc(sK50,k1_struct_0(sK50,sK52)) != k6_pre_topc(sK50,k1_struct_0(sK50,sK52))
| ~ m1_subset_1(sK52,u1_struct_0(sK51))
| ~ m1_subset_1(sK52,u1_struct_0(sK50))
| ~ v3_borsuk_1(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m2_tsp_1(sK51,sK50)
| v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50) ),
inference(superposition,[],[f6115,f5866]) ).
fof(f6133,plain,
( ~ m1_subset_1(sK52,u1_struct_0(sK51))
| ~ m1_subset_1(sK52,u1_struct_0(sK50))
| ~ v3_borsuk_1(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m2_tsp_1(sK51,sK50)
| v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50) ),
inference(trivial_inequality_removal,[],[f6131]) ).
fof(f6135,plain,
( ~ m1_subset_1(sK52,u1_struct_0(sK51))
| ~ m1_subset_1(sK52,u1_struct_0(sK50))
| ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m2_tsp_1(sK51,sK50)
| v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50) ),
inference(forward_subsumption_resolution,[],[f6133,f5871]) ).
fof(f6143,plain,
( ~ m1_subset_1(sK52,u1_struct_0(sK50))
| ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m2_tsp_1(sK51,sK50)
| v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50) ),
inference(forward_subsumption_resolution,[],[f6135,f6050]) ).
fof(f6164,plain,
( ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m2_tsp_1(sK51,sK50)
| v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50) ),
inference(forward_subsumption_resolution,[],[f6143,f4902]) ).
fof(f6170,plain,
( ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v2_tsp_2(sK51,sK50)
| ~ m2_tsp_1(sK51,sK50)
| v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50) ),
inference(forward_subsumption_resolution,[],[f6164,f4901]) ).
fof(f6172,plain,
( ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ m2_tsp_1(sK51,sK50)
| v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50) ),
inference(forward_subsumption_resolution,[],[f6170,f4900]) ).
fof(f6174,plain,
( ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50) ),
inference(forward_subsumption_resolution,[],[f6172,f4899]) ).
fof(f6176,plain,
( ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50) ),
inference(forward_subsumption_resolution,[],[f6174,f4898]) ).
fof(f6178,definition,
( spl204_20
<=> m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51)) ),
introduced(definition,[new_symbols(definition,[spl204_20])],[avatar_definition]) ).
fof(f6179,plain,
( ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| spl204_20 ),
inference(avatar_component_clause,[],[f6178]) ).
fof(f6181,definition,
( spl204_21
<=> v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51) ),
introduced(definition,[new_symbols(definition,[spl204_21])],[avatar_definition]) ).
fof(f6182,plain,
( ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| spl204_21 ),
inference(avatar_component_clause,[],[f6181]) ).
fof(f6184,definition,
( spl204_22
<=> v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51)) ),
introduced(definition,[new_symbols(definition,[spl204_22])],[avatar_definition]) ).
fof(f6185,plain,
( ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| spl204_22 ),
inference(avatar_component_clause,[],[f6184]) ).
fof(f6187,definition,
( spl204_23
<=> v1_funct_1(k1_tsp_2(sK50,sK51)) ),
introduced(definition,[new_symbols(definition,[spl204_23])],[avatar_definition]) ).
fof(f6188,plain,
( ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| spl204_23 ),
inference(avatar_component_clause,[],[f6187]) ).
fof(f6199,plain,
( ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ l1_pre_topc(sK50) ),
inference(forward_subsumption_resolution,[],[f6176,f4897]) ).
fof(f6200,plain,
( ~ v1_funct_1(k1_tsp_2(sK50,sK51))
| ~ v1_funct_2(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51))
| ~ v5_pre_topc(k1_tsp_2(sK50,sK51),sK50,sK51)
| ~ m2_relset_1(k1_tsp_2(sK50,sK51),u1_struct_0(sK50),u1_struct_0(sK51)) ),
inference(forward_subsumption_resolution,[],[f6199,f4896]) ).
fof(f6201,plain,
( ~ spl204_20
| ~ spl204_21
| ~ spl204_22
| ~ spl204_23 ),
inference(avatar_split_clause,[],[f6200,f6187,f6184,f6181,f6178]) ).
fof(f6212,plain,
( v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_23 ),
inference(resolution,[],[f6188,f4736]) ).
fof(f6214,plain,
( ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_23 ),
inference(forward_subsumption_resolution,[],[f6212,f4898]) ).
fof(f6215,plain,
( ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_23 ),
inference(forward_subsumption_resolution,[],[f6214,f4897]) ).
fof(f6216,plain,
( v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_23 ),
inference(forward_subsumption_resolution,[],[f6215,f4896]) ).
fof(f6217,plain,
( ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_23 ),
inference(forward_subsumption_resolution,[],[f6216,f4901]) ).
fof(f6218,plain,
( ~ m1_pre_topc(sK51,sK50)
| spl204_23 ),
inference(forward_subsumption_resolution,[],[f6217,f4900]) ).
fof(f6219,plain,
( ~ spl204_3
| spl204_23 ),
inference(avatar_split_clause,[],[f6218,f6187,f5997]) ).
fof(f6227,plain,
( v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_20 ),
inference(resolution,[],[f6179,f4733]) ).
fof(f6255,plain,
( ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_20 ),
inference(forward_subsumption_resolution,[],[f6227,f4898]) ).
fof(f6256,plain,
( ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_20 ),
inference(forward_subsumption_resolution,[],[f6255,f4897]) ).
fof(f6257,plain,
( v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_20 ),
inference(forward_subsumption_resolution,[],[f6256,f4896]) ).
fof(f6258,plain,
( ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_20 ),
inference(forward_subsumption_resolution,[],[f6257,f4901]) ).
fof(f6259,plain,
( ~ m1_pre_topc(sK51,sK50)
| spl204_20 ),
inference(forward_subsumption_resolution,[],[f6258,f4900]) ).
fof(f6260,plain,
( ~ spl204_3
| spl204_20 ),
inference(avatar_split_clause,[],[f6259,f6178,f5997]) ).
fof(f6261,plain,
( v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_21 ),
inference(resolution,[],[f6182,f4734]) ).
fof(f6262,plain,
( ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_21 ),
inference(forward_subsumption_resolution,[],[f6261,f4898]) ).
fof(f6263,plain,
( ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_21 ),
inference(forward_subsumption_resolution,[],[f6262,f4897]) ).
fof(f6264,plain,
( v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_21 ),
inference(forward_subsumption_resolution,[],[f6263,f4896]) ).
fof(f6265,plain,
( ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_21 ),
inference(forward_subsumption_resolution,[],[f6264,f4901]) ).
fof(f6266,plain,
( ~ m1_pre_topc(sK51,sK50)
| spl204_21 ),
inference(forward_subsumption_resolution,[],[f6265,f4900]) ).
fof(f6267,plain,
( ~ spl204_3
| spl204_21 ),
inference(avatar_split_clause,[],[f6266,f6181,f5997]) ).
fof(f6268,plain,
( v3_struct_0(sK50)
| ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_22 ),
inference(resolution,[],[f6185,f4735]) ).
fof(f6269,plain,
( ~ v2_pre_topc(sK50)
| ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_22 ),
inference(forward_subsumption_resolution,[],[f6268,f4898]) ).
fof(f6270,plain,
( ~ l1_pre_topc(sK50)
| v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_22 ),
inference(forward_subsumption_resolution,[],[f6269,f4897]) ).
fof(f6271,plain,
( v3_struct_0(sK51)
| ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_22 ),
inference(forward_subsumption_resolution,[],[f6270,f4896]) ).
fof(f6272,plain,
( ~ v2_tsp_2(sK51,sK50)
| ~ m1_pre_topc(sK51,sK50)
| spl204_22 ),
inference(forward_subsumption_resolution,[],[f6271,f4901]) ).
fof(f6273,plain,
( ~ m1_pre_topc(sK51,sK50)
| spl204_22 ),
inference(forward_subsumption_resolution,[],[f6272,f4900]) ).
fof(f6274,plain,
( ~ spl204_3
| spl204_22 ),
inference(avatar_split_clause,[],[f6273,f6184,f5997]) ).
cnf(s12,plain,
spl204_3,
inference(sat_conversion,[],[f6044]) ).
cnf(s27,plain,
( ~ spl204_20
| ~ spl204_21
| ~ spl204_22
| ~ spl204_23 ),
inference(sat_conversion,[],[f6201]) ).
cnf(s28,plain,
( ~ spl204_3
| spl204_23 ),
inference(sat_conversion,[],[f6219]) ).
cnf(s33,plain,
( ~ spl204_3
| spl204_20 ),
inference(sat_conversion,[],[f6260]) ).
cnf(s34,plain,
( ~ spl204_3
| spl204_21 ),
inference(sat_conversion,[],[f6267]) ).
cnf(s35,plain,
( ~ spl204_3
| spl204_22 ),
inference(sat_conversion,[],[f6274]) ).
cnf(s36,plain,
spl204_22,
inference(rat,[],[s35,s12]) ).
cnf(s37,plain,
spl204_21,
inference(rat,[],[s34,s12]) ).
cnf(s38,plain,
spl204_20,
inference(rat,[],[s33,s12]) ).
cnf(s39,plain,
spl204_23,
inference(rat,[],[s28,s12]) ).
cnf(s40,plain,
$false,
inference(rat,[],[s27,s39,s36,s37,s38]) ).
fof(f6275,plain,
$false,
inference(avatar_sat_refutation,[],[s40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP035+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 18:55:41 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 4.20/2.06 % (2693524)Detected formulas, will run a generic FOF schedule.
% 4.20/2.06 % (2693533)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1303099478:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 4.20/2.06 % (2693529)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=761518380:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 4.20/2.06 % (2693530)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=3936547901:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 4.20/2.06 % (2693531)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=3222959768:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 4.20/2.06 % (2693532)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=567165510:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 4.20/2.06 % (2693533)Instruction limit reached!
% 4.20/2.06 % (2693533)------------------------------
% 4.20/2.06 % (2693533)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693533)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693533)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693533)Termination reason: Instruction limit
% 4.20/2.06 % (2693533)Termination phase: Property scanning
% 4.20/2.06 % (2693533)Time elapsed: 0.042 s
% 4.20/2.06 % (2693533)Peak memory usage: 94 MB
% 4.20/2.06 % (2693533)Instructions burned: 124 (million)
% 4.20/2.06 % (2693535)dis-21_1_sil=8000:lcm=predicate:random_seed=2756805833:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 4.20/2.06 % (2693534)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2103170794:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 4.20/2.06 % (2693532)Refutation not found, incomplete strategy
% 4.20/2.06 % (2693532)------------------------------
% 4.20/2.06 % (2693532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693532)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693532)Termination reason: Refutation not found, incomplete strategy
% 4.20/2.06 % (2693532)Time elapsed: 0.030 s
% 4.20/2.06 % (2693532)Peak memory usage: 93 MB
% 4.20/2.06 % (2693532)Instructions burned: 43 (million)
% 4.20/2.06 % (2693535)Instruction limit reached!
% 4.20/2.06 % (2693535)------------------------------
% 4.20/2.06 % (2693535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693535)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693535)Termination reason: Instruction limit
% 4.20/2.06 % (2693535)Termination phase: Preprocessing 3
% 4.20/2.06 % (2693535)Time elapsed: 0.092 s
% 4.20/2.06 % (2693535)Peak memory usage: 95 MB
% 4.20/2.06 % (2693535)Instructions burned: 130 (million)
% 4.20/2.06 % (2693534)Instruction limit reached!
% 4.20/2.06 % (2693534)------------------------------
% 4.20/2.06 % (2693534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693534)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693534)Termination reason: Instruction limit
% 4.20/2.06 % (2693534)Termination phase: Preprocessing 3
% 4.20/2.06 % (2693534)Time elapsed: 0.100 s
% 4.20/2.06 % (2693534)Peak memory usage: 94 MB
% 4.20/2.06 % (2693534)Instructions burned: 140 (million)
% 4.20/2.06 % (2693541)lrs+10_1_sil=8000:sp=occurrence:random_seed=2773503513:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 4.20/2.06 % (2693541)Instruction limit reached!
% 4.20/2.06 % (2693541)------------------------------
% 4.20/2.06 % (2693541)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693541)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693541)Termination reason: Instruction limit
% 4.20/2.06 % (2693541)Termination phase: Saturation
% 4.20/2.06 % (2693541)Time elapsed: 0.098 s
% 4.20/2.06 % (2693541)Peak memory usage: 98 MB
% 4.20/2.06 % (2693541)Instructions burned: 287 (million)
% 4.20/2.06 % (2693532)------------------------------
% 4.20/2.06 % (2693532)------------------------------
% 4.20/2.06 % (2693544)lrs+10_1_sil=32000:urr=on:br=off:random_seed=154297848:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 4.20/2.06 % (2693545)lrs+1011_1_sil=32000:sp=occurrence:random_seed=83106968:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.20/2.06 % (2693547)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=1189062069:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 4.20/2.06 % (2693544)Instruction limit reached!
% 4.20/2.06 % (2693544)------------------------------
% 4.20/2.06 % (2693544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693544)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693544)Termination reason: Instruction limit
% 4.20/2.06 % (2693544)Termination phase: Saturation
% 4.20/2.06 % (2693544)Time elapsed: 0.091 s
% 4.20/2.06 % (2693544)Peak memory usage: 94 MB
% 4.20/2.06 % (2693544)Instructions burned: 157 (million)
% 4.20/2.06 % (2693547)Instruction limit reached!
% 4.20/2.06 % (2693547)------------------------------
% 4.20/2.06 % (2693547)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693547)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693547)Termination reason: Instruction limit
% 4.20/2.06 % (2693547)Termination phase: Property scanning
% 4.20/2.06 % (2693547)Time elapsed: 0.081 s
% 4.20/2.06 % (2693547)Peak memory usage: 98 MB
% 4.20/2.06 % (2693547)Instructions burned: 253 (million)
% 4.20/2.06 % (2693549)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3955643552:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.20/2.06 % (2693545)Instruction limit reached!
% 4.20/2.06 % (2693545)------------------------------
% 4.20/2.06 % (2693545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693545)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693545)Termination reason: Instruction limit
% 4.20/2.06 % (2693545)Termination phase: Saturation
% 4.20/2.06 % (2693545)Time elapsed: 0.215 s
% 4.20/2.06 % (2693545)Peak memory usage: 96 MB
% 4.20/2.06 % (2693545)Instructions burned: 325 (million)
% 4.20/2.06 % (2693552)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1071194677:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 4.20/2.06 % (2693553)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3399692284:cts=off:i=113:fsr=off:ss=included:sgt=4_2992 on theBenchmark for (2992ds/113Mi)
% 4.20/2.06 % (2693553)Instruction limit reached!
% 4.20/2.06 % (2693553)------------------------------
% 4.20/2.06 % (2693553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693553)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693553)Termination reason: Instruction limit
% 4.20/2.06 % (2693553)Termination phase: Property scanning
% 4.20/2.06 % (2693553)Time elapsed: 0.038 s
% 4.20/2.06 % (2693553)Peak memory usage: 94 MB
% 4.20/2.06 % (2693553)Instructions burned: 114 (million)
% 4.20/2.06 % (2693549)Instruction limit reached!
% 4.20/2.06 % (2693549)------------------------------
% 4.20/2.06 % (2693549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693549)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693549)Termination reason: Instruction limit
% 4.20/2.06 % (2693549)Termination phase: Saturation
% 4.20/2.06 % (2693549)Time elapsed: 0.166 s
% 4.20/2.06 % (2693549)Peak memory usage: 98 MB
% 4.20/2.06 % (2693549)Instructions burned: 295 (million)
% 4.20/2.06 % (2693555)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1734375571:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 4.20/2.06 % (2693558)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=4203768391:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 4.20/2.06 % (2693558)Instruction limit reached!
% 4.20/2.06 % (2693558)------------------------------
% 4.20/2.06 % (2693558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693558)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693558)Termination reason: Instruction limit
% 4.20/2.06 % (2693558)Termination phase: Preprocessing 3
% 4.20/2.06 % (2693558)Time elapsed: 0.032 s
% 4.20/2.06 % (2693558)Peak memory usage: 91 MB
% 4.20/2.06 % (2693558)Instructions burned: 115 (million)
% 4.20/2.06 % (2693555)Instruction limit reached!
% 4.20/2.06 % (2693555)------------------------------
% 4.20/2.06 % (2693555)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/2.06 % (2693555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/2.06 % (2693555)CaDiCaL version: 2.1.3
% 4.20/2.06 % (2693555)Termination reason: Instruction limit
% 4.20/2.06 % (2693555)Termination phase: Preprocessing 3
% 4.20/2.06 % (2693555)Time elapsed: 0.086 s
% 4.20/2.06 % (2693555)Peak memory usage: 96 MB
% 4.20/2.06 % (2693555)Instructions burned: 128 (million)
% 4.20/2.06 % (2693559)lrs+10_1_sil=8000:sp=occurrence:random_seed=1670382224:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 4.20/2.06 % (2693562)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=111328623:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 4.20/2.06 % (2693562)First to succeed.
% 4.20/2.06 % (2693562)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2693524"
% 4.20/2.06 % (2693563)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1899099398:i=5202:ss=axioms:sgt=16_2989 on theBenchmark for (2989ds/5202Mi)
% 4.20/2.06 % (2693562)Refutation found. Thanks to Tanya!
% 4.20/2.06 % SZS status Theorem for theBenchmark
% 4.20/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.43/2.16 % (2693562)------------------------------
% 9.43/2.16 % (2693562)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.43/2.16 % (2693562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.43/2.16 % (2693562)CaDiCaL version: 2.1.3
% 9.43/2.16 % (2693562)Termination reason: Refutation
% 9.43/2.16 % (2693562)Time elapsed: 0.037 s
% 9.43/2.16 % (2693562)Peak memory usage: 96 MB
% 9.43/2.16 % (2693562)Instructions burned: 110 (million)
% 9.43/2.16 % (2693562)------------------------------
% 9.43/2.16 % (2693562)------------------------------
% 9.43/2.16 % (2693524)Success in time 1.397 s
% 9.43/2.16 % Vampire exiting
%------------------------------------------------------------------------------