%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP037+2 : 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 : n003.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 02:34:00 PM UTC 2026
% Result : Theorem 2.95s 1.28s
% Output : Refutation 4.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 15
% Syntax : Number of formulae : 146 ( 25 unt; 8 def)
% Number of atoms : 753 ( 43 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1061 ( 454 ~; 509 |; 67 &)
% ( 12 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 21 ( 19 usr; 8 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-4 aty)
% Number of variables : 104 ( 0 sgn 94 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3416,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> k3_tex_4(X0,X1) = k3_tex_4(X0,k3_tex_4(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_tex_4) ).
fof(f3474,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_tex_4) ).
fof(f3567,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_tsp_1) ).
fof(f3575,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(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k4_tsp_2) ).
fof(f3595,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l19_tsp_2) ).
fof(f3633,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 = k4_tsp_2(X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X3 = u1_struct_0(X1)
=> ! [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0)))
=> k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d12_tsp_2) ).
fof(f3635,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,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_tsp_2) ).
fof(f3636,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,k1_zfmisc_1(u1_struct_0(X0)))
=> k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f3635]) ).
fof(f3652,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) != k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2))
& m1_subset_1(X2,k1_zfmisc_1(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,[],[f3636]) ).
fof(f3653,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2) != k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),k3_tex_4(X0,X2))
& m1_subset_1(X2,k1_zfmisc_1(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,[],[f3652]) ).
fof(f3666,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3595]) ).
fof(f3667,plain,
! [X0] :
( ! [X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3666]) ).
fof(f3668,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3567]) ).
fof(f3686,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f3474]) ).
fof(f3687,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f3686]) ).
fof(f3718,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = k3_tex_4(X0,k3_tex_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3416]) ).
fof(f3719,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = k3_tex_4(X0,k3_tex_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3718]) ).
fof(f3728,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k4_tsp_2(X0,X1)
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ 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,[],[f3633]) ).
fof(f3729,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k4_tsp_2(X0,X1)
<=> ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
| ~ 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,[],[f3728]) ).
fof(f3732,plain,
! [X0,X1] :
( ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_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,[],[f3575]) ).
fof(f3733,plain,
! [X0,X1] :
( ( v1_funct_1(k4_tsp_2(X0,X1))
& v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
& m2_relset_1(k4_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,[],[f3732]) ).
fof(f3745,plain,
( k4_pre_topc(sK8,sK9,k4_tsp_2(sK8,sK9),sK10) != k4_pre_topc(sK8,sK9,k4_tsp_2(sK8,sK9),k3_tex_4(sK8,sK10))
& m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8)))
& ~ v3_struct_0(sK9)
& v2_tsp_2(sK9,sK8)
& m2_tsp_1(sK9,sK8)
& ~ v3_struct_0(sK8)
& v2_pre_topc(sK8)
& l1_pre_topc(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9,sK10]),skolemize(X0,sK8),skolemize(X1,sK9),skolemize(X2,sK10)],[f3653]) ).
fof(f3765,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,[],[f3668]) ).
fof(f3798,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X3] :
( ! [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) = k4_pre_topc(X0,X1,X2,X4)
| ~ m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X3
| ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_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,[],[f3729]) ).
fof(f3799,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ? [X3] :
( ? [X4] :
( k5_subset_1(u1_struct_0(X0),X3,k3_tex_4(X0,X4)) != k4_pre_topc(X0,X1,X2,X4)
& m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X0))) )
& u1_struct_0(X1) = X3
& m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_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(rectify,[],[f3798]) ).
fof(f3800,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ( k5_subset_1(u1_struct_0(X0),sK34(X0,X1,X2),k3_tex_4(X0,sK35(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK35(X0,X1,X2))
& m1_subset_1(sK35(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& u1_struct_0(X1) = sK34(X0,X1,X2)
& m1_subset_1(sK34(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0))) ) )
& ( ! [X5] :
( ! [X6] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0))) )
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0))) )
| k4_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(skolemize,[status(esa),new_symbols(skolem,[sK34,sK35]),skolemize(X3,sK34(X0,X1,X2)),skolemize(X4,sK35(X0,X1,X2))],[f3799]) ).
fof(f3801,plain,
l1_pre_topc(sK8),
inference(cnf_transformation,[],[f3745]) ).
fof(f3802,plain,
v2_pre_topc(sK8),
inference(cnf_transformation,[],[f3745]) ).
fof(f3803,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f3745]) ).
fof(f3804,plain,
m2_tsp_1(sK9,sK8),
inference(cnf_transformation,[],[f3745]) ).
fof(f3805,plain,
v2_tsp_2(sK9,sK8),
inference(cnf_transformation,[],[f3745]) ).
fof(f3806,plain,
~ v3_struct_0(sK9),
inference(cnf_transformation,[],[f3745]) ).
fof(f3807,plain,
m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8))),
inference(cnf_transformation,[],[f3745]) ).
fof(f3808,plain,
k4_pre_topc(sK8,sK9,k4_tsp_2(sK8,sK9),sK10) != k4_pre_topc(sK8,sK9,k4_tsp_2(sK8,sK9),k3_tex_4(sK8,sK10)),
inference(cnf_transformation,[],[f3745]) ).
fof(f3837,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3667]) ).
fof(f3838,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3765]) ).
fof(f3908,plain,
! [X0,X1] :
( m1_subset_1(k3_tex_4(X0,X1),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f3687]) ).
fof(f3928,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = k3_tex_4(X0,k3_tex_4(X0,X1))
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f3719]) ).
fof(f3933,plain,
! [X2,X0,X1,X6,X5] :
( k5_subset_1(u1_struct_0(X0),X5,k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,X2,X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X0)))
| k4_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,[],[f3800]) ).
fof(f3939,plain,
! [X0,X1] :
( m2_relset_1(k4_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,[],[f3733]) ).
fof(f3940,plain,
! [X0,X1] :
( v5_pre_topc(k4_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,[],[f3733]) ).
fof(f3941,plain,
! [X0,X1] :
( v1_funct_2(k4_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,[],[f3733]) ).
fof(f3942,plain,
! [X0,X1] :
( v1_funct_1(k4_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,[],[f3733]) ).
fof(f3943,definition,
~ sP36(k4_pre_topc(sK8,sK9,k4_tsp_2(sK8,sK9),sK10)),
introduced(definition,[new_symbols(definition,[sP36])],[inequality_splitting_name_introduction]) ).
fof(f3944,plain,
sP36(k4_pre_topc(sK8,sK9,k4_tsp_2(sK8,sK9),k3_tex_4(sK8,sK10))),
inference(inequality_splitting,[],[f3808,f3943]) ).
fof(f3954,plain,
! [X2,X0,X1,X6] :
( k4_pre_topc(X0,X1,X2,X6) = k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6))
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| k4_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(equality_resolution,[],[f3933]) ).
fof(f3955,plain,
! [X0,X1,X6] :
( k5_subset_1(u1_struct_0(X0),u1_struct_0(X1),k3_tex_4(X0,X6)) = k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X6)
| ~ m1_subset_1(X6,k1_zfmisc_1(u1_struct_0(X0)))
| ~ m1_subset_1(u1_struct_0(X1),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ v5_pre_topc(k4_tsp_2(X0,X1),X0,X1)
| ~ m2_relset_1(k4_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,[],[f3954]) ).
fof(f3964,plain,
( m1_pre_topc(sK9,sK8)
| ~ l1_pre_topc(sK8) ),
inference(resolution,[],[f3804,f3838]) ).
fof(f3965,plain,
m1_pre_topc(sK9,sK8),
inference(forward_subsumption_resolution,[],[f3964,f3801]) ).
fof(f4095,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8)))
| ~ m1_subset_1(u1_struct_0(sK9),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(superposition,[],[f3943,f3955]) ).
fof(f4096,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ m1_subset_1(u1_struct_0(sK9),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f4095,f3807]) ).
fof(f4098,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f4096,f3837]) ).
fof(f4100,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f4098,f3806]) ).
fof(f4102,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f4100,f3805]) ).
fof(f4104,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f4102,f3804]) ).
fof(f4106,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f4104,f3803]) ).
fof(f4108,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f4106,f3802]) ).
fof(f4109,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9)) ),
inference(forward_subsumption_resolution,[],[f4108,f3801]) ).
fof(f4111,definition,
( spl39_15
<=> m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9)) ),
introduced(definition,[new_symbols(definition,[spl39_15])],[avatar_definition]) ).
fof(f4112,plain,
( m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ spl39_15 ),
inference(avatar_component_clause,[],[f4111]) ).
fof(f4113,plain,
( ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| spl39_15 ),
inference(avatar_component_clause,[],[f4111]) ).
fof(f4115,definition,
( spl39_16
<=> v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9) ),
introduced(definition,[new_symbols(definition,[spl39_16])],[avatar_definition]) ).
fof(f4116,plain,
( v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ spl39_16 ),
inference(avatar_component_clause,[],[f4115]) ).
fof(f4117,plain,
( ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| spl39_16 ),
inference(avatar_component_clause,[],[f4115]) ).
fof(f4119,definition,
( spl39_17
<=> v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9)) ),
introduced(definition,[new_symbols(definition,[spl39_17])],[avatar_definition]) ).
fof(f4120,plain,
( v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ spl39_17 ),
inference(avatar_component_clause,[],[f4119]) ).
fof(f4121,plain,
( ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| spl39_17 ),
inference(avatar_component_clause,[],[f4119]) ).
fof(f4123,definition,
( spl39_18
<=> v1_funct_1(k4_tsp_2(sK8,sK9)) ),
introduced(definition,[new_symbols(definition,[spl39_18])],[avatar_definition]) ).
fof(f4124,plain,
( v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ spl39_18 ),
inference(avatar_component_clause,[],[f4123]) ).
fof(f4125,plain,
( ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| spl39_18 ),
inference(avatar_component_clause,[],[f4123]) ).
fof(f4127,definition,
( spl39_19
<=> sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10))) ),
introduced(definition,[new_symbols(definition,[spl39_19])],[avatar_definition]) ).
fof(f4129,plain,
( ~ sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| spl39_19 ),
inference(avatar_component_clause,[],[f4127]) ).
fof(f4130,plain,
( ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| ~ spl39_19 ),
inference(avatar_split_clause,[],[f4109,f4127,f4123,f4119,f4115,f4111]) ).
fof(f4134,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ m1_subset_1(u1_struct_0(sK9),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(superposition,[],[f3944,f3955]) ).
fof(f4155,plain,
( v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_15 ),
inference(resolution,[],[f4113,f3939]) ).
fof(f4162,plain,
( ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_15 ),
inference(forward_subsumption_resolution,[],[f4155,f3803]) ).
fof(f4164,plain,
( ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_15 ),
inference(forward_subsumption_resolution,[],[f4162,f3802]) ).
fof(f4166,plain,
( v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_15 ),
inference(forward_subsumption_resolution,[],[f4164,f3801]) ).
fof(f4168,plain,
( ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_15 ),
inference(forward_subsumption_resolution,[],[f4166,f3806]) ).
fof(f4170,plain,
( ~ m1_pre_topc(sK9,sK8)
| spl39_15 ),
inference(forward_subsumption_resolution,[],[f4168,f3805]) ).
fof(f4172,plain,
( $false
| spl39_15 ),
inference(forward_subsumption_resolution,[],[f4170,f3965]) ).
fof(f4173,plain,
spl39_15,
inference(avatar_contradiction_clause,[],[f4172]) ).
fof(f4174,plain,
( v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_16 ),
inference(resolution,[],[f4117,f3940]) ).
fof(f4177,plain,
( ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_16 ),
inference(forward_subsumption_resolution,[],[f4174,f3803]) ).
fof(f4179,plain,
( ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_16 ),
inference(forward_subsumption_resolution,[],[f4177,f3802]) ).
fof(f4181,plain,
( v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_16 ),
inference(forward_subsumption_resolution,[],[f4179,f3801]) ).
fof(f4183,plain,
( ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_16 ),
inference(forward_subsumption_resolution,[],[f4181,f3806]) ).
fof(f4185,plain,
( ~ m1_pre_topc(sK9,sK8)
| spl39_16 ),
inference(forward_subsumption_resolution,[],[f4183,f3805]) ).
fof(f4187,plain,
( $false
| spl39_16 ),
inference(forward_subsumption_resolution,[],[f4185,f3965]) ).
fof(f4188,plain,
spl39_16,
inference(avatar_contradiction_clause,[],[f4187]) ).
fof(f4207,plain,
( v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_17 ),
inference(resolution,[],[f4121,f3941]) ).
fof(f4214,plain,
( ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_17 ),
inference(forward_subsumption_resolution,[],[f4207,f3803]) ).
fof(f4216,plain,
( ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_17 ),
inference(forward_subsumption_resolution,[],[f4214,f3802]) ).
fof(f4218,plain,
( v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_17 ),
inference(forward_subsumption_resolution,[],[f4216,f3801]) ).
fof(f4220,plain,
( ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_17 ),
inference(forward_subsumption_resolution,[],[f4218,f3806]) ).
fof(f4222,plain,
( ~ m1_pre_topc(sK9,sK8)
| spl39_17 ),
inference(forward_subsumption_resolution,[],[f4220,f3805]) ).
fof(f4224,plain,
( $false
| spl39_17 ),
inference(forward_subsumption_resolution,[],[f4222,f3965]) ).
fof(f4225,plain,
spl39_17,
inference(avatar_contradiction_clause,[],[f4224]) ).
fof(f4226,plain,
( v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_18 ),
inference(resolution,[],[f4125,f3942]) ).
fof(f4229,plain,
( ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_18 ),
inference(forward_subsumption_resolution,[],[f4226,f3803]) ).
fof(f4231,plain,
( ~ l1_pre_topc(sK8)
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_18 ),
inference(forward_subsumption_resolution,[],[f4229,f3802]) ).
fof(f4233,plain,
( v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_18 ),
inference(forward_subsumption_resolution,[],[f4231,f3801]) ).
fof(f4235,plain,
( ~ v2_tsp_2(sK9,sK8)
| ~ m1_pre_topc(sK9,sK8)
| spl39_18 ),
inference(forward_subsumption_resolution,[],[f4233,f3806]) ).
fof(f4237,plain,
( ~ m1_pre_topc(sK9,sK8)
| spl39_18 ),
inference(forward_subsumption_resolution,[],[f4235,f3805]) ).
fof(f4239,plain,
( $false
| spl39_18 ),
inference(forward_subsumption_resolution,[],[f4237,f3965]) ).
fof(f4240,plain,
spl39_18,
inference(avatar_contradiction_clause,[],[f4239]) ).
fof(f4241,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ v1_funct_1(k4_tsp_2(sK8,sK9))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8) ),
inference(forward_subsumption_resolution,[],[f4134,f3837]) ).
fof(f4242,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ v1_funct_2(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4241,f4124]) ).
fof(f4243,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ v5_pre_topc(k4_tsp_2(sK8,sK9),sK8,sK9)
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ spl39_17
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4242,f4120]) ).
fof(f4244,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ m2_relset_1(k4_tsp_2(sK8,sK9),u1_struct_0(sK8),u1_struct_0(sK9))
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4243,f4116]) ).
fof(f4245,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| v3_struct_0(sK9)
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4244,f4112]) ).
fof(f4246,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ v2_tsp_2(sK9,sK8)
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4245,f3806]) ).
fof(f4247,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ m2_tsp_1(sK9,sK8)
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4246,f3805]) ).
fof(f4248,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| v3_struct_0(sK8)
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4247,f3804]) ).
fof(f4249,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ v2_pre_topc(sK8)
| ~ l1_pre_topc(sK8)
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4248,f3803]) ).
fof(f4250,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ l1_pre_topc(sK8)
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4249,f3802]) ).
fof(f4251,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(forward_subsumption_resolution,[],[f4250,f3801]) ).
fof(f4253,definition,
( spl39_20
<=> m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8))) ),
introduced(definition,[new_symbols(definition,[spl39_20])],[avatar_definition]) ).
fof(f4255,plain,
( ~ m1_subset_1(k3_tex_4(sK8,sK10),k1_zfmisc_1(u1_struct_0(sK8)))
| spl39_20 ),
inference(avatar_component_clause,[],[f4253]) ).
fof(f4257,definition,
( spl39_21
<=> sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10)))) ),
introduced(definition,[new_symbols(definition,[spl39_21])],[avatar_definition]) ).
fof(f4259,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,k3_tex_4(sK8,sK10))))
| ~ spl39_21 ),
inference(avatar_component_clause,[],[f4257]) ).
fof(f4260,plain,
( ~ spl39_20
| spl39_21
| ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18 ),
inference(avatar_split_clause,[],[f4251,f4123,f4119,f4115,f4111,f4257,f4253]) ).
fof(f4268,plain,
( v3_struct_0(sK8)
| ~ l1_pre_topc(sK8)
| ~ m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8)))
| spl39_20 ),
inference(resolution,[],[f4255,f3908]) ).
fof(f4275,plain,
( ~ l1_pre_topc(sK8)
| ~ m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8)))
| spl39_20 ),
inference(forward_subsumption_resolution,[],[f4268,f3803]) ).
fof(f4278,plain,
( ~ m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8)))
| spl39_20 ),
inference(forward_subsumption_resolution,[],[f4275,f3801]) ).
fof(f4281,plain,
( $false
| spl39_20 ),
inference(forward_subsumption_resolution,[],[f4278,f3807]) ).
fof(f4282,plain,
spl39_20,
inference(avatar_contradiction_clause,[],[f4281]) ).
fof(f4457,plain,
( sP36(k5_subset_1(u1_struct_0(sK8),u1_struct_0(sK9),k3_tex_4(sK8,sK10)))
| ~ m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8)))
| v3_struct_0(sK8)
| ~ l1_pre_topc(sK8)
| ~ spl39_21 ),
inference(superposition,[],[f4259,f3928]) ).
fof(f4462,plain,
( ~ m1_subset_1(sK10,k1_zfmisc_1(u1_struct_0(sK8)))
| v3_struct_0(sK8)
| ~ l1_pre_topc(sK8)
| spl39_19
| ~ spl39_21 ),
inference(forward_subsumption_resolution,[],[f4457,f4129]) ).
fof(f4469,plain,
( v3_struct_0(sK8)
| ~ l1_pre_topc(sK8)
| spl39_19
| ~ spl39_21 ),
inference(forward_subsumption_resolution,[],[f4462,f3807]) ).
fof(f4474,plain,
( ~ l1_pre_topc(sK8)
| spl39_19
| ~ spl39_21 ),
inference(forward_subsumption_resolution,[],[f4469,f3803]) ).
fof(f4477,plain,
( $false
| spl39_19
| ~ spl39_21 ),
inference(forward_subsumption_resolution,[],[f4474,f3801]) ).
fof(f4478,plain,
( spl39_19
| ~ spl39_21 ),
inference(avatar_contradiction_clause,[],[f4477]) ).
cnf(s16,plain,
( ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| ~ spl39_19 ),
inference(sat_conversion,[],[f4130]) ).
cnf(s17,plain,
spl39_15,
inference(sat_conversion,[],[f4173]) ).
cnf(s18,plain,
spl39_16,
inference(sat_conversion,[],[f4188]) ).
cnf(s19,plain,
spl39_17,
inference(sat_conversion,[],[f4225]) ).
cnf(s20,plain,
spl39_18,
inference(sat_conversion,[],[f4240]) ).
cnf(s21,plain,
( ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| ~ spl39_20
| spl39_21 ),
inference(sat_conversion,[],[f4260]) ).
cnf(s22,plain,
spl39_20,
inference(sat_conversion,[],[f4282]) ).
cnf(s37,plain,
( spl39_19
| ~ spl39_21 ),
inference(sat_conversion,[],[f4478]) ).
cnf(s38,plain,
( ~ spl39_15
| ~ spl39_16
| ~ spl39_17
| ~ spl39_18
| spl39_21 ),
inference(rat,[],[s21,s22]) ).
cnf(s39,plain,
spl39_21,
inference(rat,[],[s38,s18,s20,s19,s17]) ).
cnf(s40,plain,
spl39_19,
inference(rat,[],[s37,s39]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s16,s40,s20,s19,s18,s17]) ).
fof(f4479,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP037+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 19:02:01 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 2.95/1.28 % (1875226)Detected formulas, will run a generic FOF schedule.
% 2.95/1.28 % (1875232)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=1222848871:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 2.95/1.28 % (1875231)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=3633349253:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 2.95/1.28 % (1875234)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3392605308:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 2.95/1.28 % (1875235)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1964525022:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 2.95/1.28 % (1875236)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=344672175:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 2.95/1.28 % (1875237)dis-21_1_sil=8000:lcm=predicate:random_seed=506421556: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)
% 2.95/1.28 % (1875233)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=1547408380:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 2.95/1.28 % (1875234)First to succeed.
% 2.95/1.28 % (1875234)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1875226"
% 2.95/1.28 % (1875235)Instruction limit reached!
% 2.95/1.28 % (1875235)------------------------------
% 2.95/1.28 % (1875235)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.28 % (1875235)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.28 % (1875235)CaDiCaL version: 2.1.3
% 2.95/1.28 % (1875235)Termination reason: Instruction limit
% 2.95/1.28 % (1875235)Termination phase: Property scanning
% 2.95/1.28 % (1875235)Time elapsed: 0.071 s
% 2.95/1.28 % (1875235)Peak memory usage: 93 MB
% 2.95/1.28 % (1875235)Instructions burned: 122 (million)
% 2.95/1.28 % (1875236)Instruction limit reached!
% 2.95/1.28 % (1875236)------------------------------
% 2.95/1.28 % (1875236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.28 % (1875236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.28 % (1875236)CaDiCaL version: 2.1.3
% 2.95/1.28 % (1875236)Termination reason: Instruction limit
% 2.95/1.28 % (1875236)Termination phase: Preprocessing 3
% 2.95/1.28 % (1875236)Time elapsed: 0.086 s
% 2.95/1.28 % (1875236)Peak memory usage: 94 MB
% 2.95/1.28 % (1875236)Instructions burned: 140 (million)
% 2.95/1.28 % (1875237)Instruction limit reached!
% 2.95/1.28 % (1875237)------------------------------
% 2.95/1.28 % (1875237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.95/1.28 % (1875237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.95/1.28 % (1875237)CaDiCaL version: 2.1.3
% 2.95/1.28 % (1875237)Termination reason: Instruction limit
% 2.95/1.28 % (1875237)Termination phase: Preprocessing 3
% 2.95/1.28 % (1875237)Time elapsed: 0.087 s
% 2.95/1.28 % (1875237)Peak memory usage: 95 MB
% 2.95/1.28 % (1875237)Instructions burned: 130 (million)
% 2.95/1.28 % (1875245)lrs+10_1_sil=8000:sp=occurrence:random_seed=2058323509:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 2.95/1.28 % (1875247)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3732189802:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 2.95/1.28 % (1875246)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1379041077:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 2.95/1.28 % (1875234)Refutation found. Thanks to Tanya!
% 2.95/1.28 % SZS status Theorem for theBenchmark
% 2.95/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 4.04/1.48 % (1875234)------------------------------
% 4.04/1.48 % (1875234)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.04/1.48 % (1875234)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.04/1.48 % (1875234)CaDiCaL version: 2.1.3
% 4.04/1.48 % (1875234)Termination reason: Refutation
% 4.04/1.48 % (1875234)Time elapsed: 0.038 s
% 4.04/1.48 % (1875234)Peak memory usage: 94 MB
% 4.04/1.48 % (1875234)Instructions burned: 57 (million)
% 4.04/1.48 % (1875234)------------------------------
% 4.04/1.48 % (1875234)------------------------------
% 4.04/1.48 % (1875226)Success in time 0.614 s
% 4.04/1.48 % Vampire exiting
%------------------------------------------------------------------------------