%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : TOP041+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 : n019.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 02:34:03 PM UTC 2026
% Result : Theorem 10.67s 3.31s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 22
% Syntax : Number of formulae : 249 ( 56 unt; 4 def)
% Number of atoms : 1271 ( 163 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1758 ( 736 ~; 841 |; 131 &)
% ( 15 <=>; 35 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 20 ( 18 usr; 5 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-4 aty)
% Number of variables : 306 ( 0 sgn 287 !; 19 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f57,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f117,axiom,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k3_xboole_0(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t48_xboole_1) ).
fof(f437,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X0))
& m1_subset_1(X2,k1_zfmisc_1(X0)) )
=> k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_subset_1) ).
fof(f2183,axiom,
! [X0] :
( l1_struct_0(X0)
=> k2_pre_topc(X0) = u1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_pre_topc) ).
fof(f2245,axiom,
! [X0] :
( l1_pre_topc(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
fof(f2611,axiom,
! [X0] : u1_pre_topc(k2_pcomps_1(X0)) = k1_pcomps_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_pcomps_1) ).
fof(f2652,axiom,
! [X0] : k1_pcomps_1(X0) = k1_zfmisc_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
fof(f3435,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X1,X0)
=> k3_tex_4(X0,X1) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t58_tex_4) ).
fof(f3565,axiom,
! [X0] :
( l1_pre_topc(X0)
=> ! [X1] :
( m2_tsp_1(X1,X0)
=> l1_pre_topc(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_tsp_1) ).
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(f3576,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) )
=> k4_tsp_2(X0,X1) = k1_tsp_2(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_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(f3611,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v2_pre_topc(X0)
& l1_pre_topc(X0) )
=> ! [X1] :
( ( v2_tsp_2(X1,X0)
& m2_tsp_1(X1,X0) )
=> ! [X2] :
( m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
=> ( v3_pre_topc(X2,X0)
<=> ( X2 = k3_tex_4(X0,X2)
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1)) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_tsp_2) ).
fof(f3618,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) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t22_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/sandbox/benchmark/theBenchmark.p',d9_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(f3639,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)))
=> ( v3_pre_topc(X2,X0)
=> v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t34_tsp_2) ).
fof(f3640,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)))
=> ( v3_pre_topc(X2,X0)
=> v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f3639]) ).
fof(f3677,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(f3678,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,[],[f3677]) ).
fof(f3679,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = 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(ennf_transformation,[],[f3576]) ).
fof(f3680,plain,
! [X0,X1] :
( k4_tsp_2(X0,X1) = 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(flattening,[],[f3679]) ).
fof(f3717,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(f3718,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,[],[f3717]) ).
fof(f3749,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v3_pre_topc(X2,X0)
<=> ( X2 = k3_tex_4(X0,X2)
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1)) ) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ 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,[],[f3611]) ).
fof(f3750,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v3_pre_topc(X2,X0)
<=> ( X2 = k3_tex_4(X0,X2)
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1)) ) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f3749]) ).
fof(f3763,plain,
! [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_borsuk_1(X2,X0,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,[],[f3618]) ).
fof(f3764,plain,
! [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_borsuk_1(X2,X0,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,[],[f3763]) ).
fof(f3777,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(f3778,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,[],[f3777]) ).
fof(f3793,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(f3794,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,[],[f3793]) ).
fof(f3805,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v3_pre_topc(X2,X0)
& 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,[],[f3640]) ).
fof(f3806,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ~ v3_pre_topc(k4_pre_topc(X0,X1,k4_tsp_2(X0,X1),X2),X1)
& v3_pre_topc(X2,X0)
& 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,[],[f3805]) ).
fof(f3927,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(ennf_transformation,[],[f437]) ).
fof(f3928,plain,
! [X0,X1,X2] :
( k5_subset_1(X0,X1,X2) = k3_xboole_0(X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(flattening,[],[f3927]) ).
fof(f4040,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3435]) ).
fof(f4041,plain,
! [X0] :
( ! [X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f4040]) ).
fof(f4245,plain,
! [X0] :
( ! [X1] :
( m2_tsp_1(X1,X0)
<=> m1_pre_topc(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3567]) ).
fof(f4247,plain,
! [X0] :
( ! [X1] :
( l1_pre_topc(X1)
| ~ m2_tsp_1(X1,X0) )
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f3565]) ).
fof(f4722,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(ennf_transformation,[],[f2245]) ).
fof(f4903,plain,
! [X0] :
( k2_pre_topc(X0) = u1_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f2183]) ).
fof(f7104,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X3,X1)
| k3_xboole_0(X2,u1_struct_0(X1)) != X3 ) )
& ( ( X2 = k3_tex_4(X0,X2)
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1)) ) )
| ~ v3_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ 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,[],[f3750]) ).
fof(f7105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X3,X1)
| k3_xboole_0(X2,u1_struct_0(X1)) != X3 ) )
& ( ( X2 = k3_tex_4(X0,X2)
& ? [X3] :
( m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X3,X1)
& X3 = k3_xboole_0(X2,u1_struct_0(X1)) ) )
| ~ v3_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(flattening,[],[f7104]) ).
fof(f7106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X3,X1)
| k3_xboole_0(X2,u1_struct_0(X1)) != X3 ) )
& ( ( X2 = k3_tex_4(X0,X2)
& ? [X4] :
( m1_subset_1(X4,k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(X4,X1)
& k3_xboole_0(X2,u1_struct_0(X1)) = X4 ) )
| ~ v3_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0) )
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(rectify,[],[f7105]) ).
fof(f7107,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v3_pre_topc(X2,X0)
| k3_tex_4(X0,X2) != X2
| ! [X3] :
( ~ m1_subset_1(X3,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v3_pre_topc(X3,X1)
| k3_xboole_0(X2,u1_struct_0(X1)) != X3 ) )
& ( ( X2 = k3_tex_4(X0,X2)
& m1_subset_1(sK35(X1,X2),k1_zfmisc_1(u1_struct_0(X1)))
& v3_pre_topc(sK35(X1,X2),X1)
& k3_xboole_0(X2,u1_struct_0(X1)) = sK35(X1,X2) )
| ~ v3_pre_topc(X2,X0) ) )
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0))) )
| ~ 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,[sK35]),skolemize(X4,sK35(X1,X2))],[f7106]) ).
fof(f7118,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(sK41(X0,X1))
& v1_funct_2(sK41(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v5_pre_topc(sK41(X0,X1),X0,X1)
& m2_relset_1(sK41(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
& v3_borsuk_1(sK41(X0,X1),X0,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,[sK41]),skolemize(X2,sK41(X0,X1))],[f3764]) ).
fof(f7119,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,[],[f3778]) ).
fof(f7126,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,[],[f3794]) ).
fof(f7127,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,[],[f7126]) ).
fof(f7128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k4_tsp_2(X0,X1)
| ( k5_subset_1(u1_struct_0(X0),sK45(X0,X1,X2),k3_tex_4(X0,sK46(X0,X1,X2))) != k4_pre_topc(X0,X1,X2,sK46(X0,X1,X2))
& m1_subset_1(sK46(X0,X1,X2),k1_zfmisc_1(u1_struct_0(X0)))
& u1_struct_0(X1) = sK45(X0,X1,X2)
& m1_subset_1(sK45(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,[sK45,sK46]),skolemize(X3,sK45(X0,X1,X2)),skolemize(X4,sK46(X0,X1,X2))],[f7127]) ).
fof(f7129,plain,
( ~ v3_pre_topc(k4_pre_topc(sK47,sK48,k4_tsp_2(sK47,sK48),sK49),sK48)
& v3_pre_topc(sK49,sK47)
& m1_subset_1(sK49,k1_zfmisc_1(u1_struct_0(sK47)))
& ~ v3_struct_0(sK48)
& v2_tsp_2(sK48,sK47)
& m2_tsp_1(sK48,sK47)
& ~ v3_struct_0(sK47)
& v2_pre_topc(sK47)
& l1_pre_topc(sK47) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK47,sK48,sK49]),skolemize(X0,sK47),skolemize(X1,sK48),skolemize(X2,sK49)],[f3806]) ).
fof(f7291,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,[],[f4245]) ).
fof(f8254,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f3678]) ).
fof(f8256,plain,
! [X0,X1] :
( ~ m1_pre_topc(X1,X0)
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0)
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,X0)
| k1_tsp_2(X0,X1) = k4_tsp_2(X0,X1) ),
inference(cnf_transformation,[],[f3680]) ).
fof(f8308,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,[],[f3718]) ).
fof(f8355,plain,
! [X2,X0,X1] :
( k3_xboole_0(X2,u1_struct_0(X1)) = sK35(X1,X2)
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ 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,[],[f7107]) ).
fof(f8356,plain,
! [X2,X0,X1] :
( v3_pre_topc(sK35(X1,X2),X1)
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,k1_zfmisc_1(u1_struct_0(X0)))
| ~ 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,[],[f7107]) ).
fof(f8388,plain,
! [X0,X1] :
( v3_borsuk_1(sK41(X0,X1),X0,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,[],[f7118]) ).
fof(f8389,plain,
! [X0,X1] :
( m2_relset_1(sK41(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(cnf_transformation,[],[f7118]) ).
fof(f8390,plain,
! [X0,X1] :
( v5_pre_topc(sK41(X0,X1),X0,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,[],[f7118]) ).
fof(f8391,plain,
! [X0,X1] :
( v1_funct_2(sK41(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(cnf_transformation,[],[f7118]) ).
fof(f8392,plain,
! [X0,X1] :
( v1_funct_1(sK41(X0,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,[],[f7118]) ).
fof(f8400,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(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)
| k1_tsp_2(X0,X1) = X2
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f7119]) ).
fof(f8414,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,[],[f7128]) ).
fof(f8426,plain,
l1_pre_topc(sK47),
inference(cnf_transformation,[],[f7129]) ).
fof(f8427,plain,
v2_pre_topc(sK47),
inference(cnf_transformation,[],[f7129]) ).
fof(f8428,plain,
~ v3_struct_0(sK47),
inference(cnf_transformation,[],[f7129]) ).
fof(f8429,plain,
m2_tsp_1(sK48,sK47),
inference(cnf_transformation,[],[f7129]) ).
fof(f8430,plain,
v2_tsp_2(sK48,sK47),
inference(cnf_transformation,[],[f7129]) ).
fof(f8431,plain,
~ v3_struct_0(sK48),
inference(cnf_transformation,[],[f7129]) ).
fof(f8432,plain,
m1_subset_1(sK49,k1_zfmisc_1(u1_struct_0(sK47))),
inference(cnf_transformation,[],[f7129]) ).
fof(f8433,plain,
v3_pre_topc(sK49,sK47),
inference(cnf_transformation,[],[f7129]) ).
fof(f8434,plain,
~ v3_pre_topc(k4_pre_topc(sK47,sK48,k4_tsp_2(sK47,sK48),sK49),sK48),
inference(cnf_transformation,[],[f7129]) ).
fof(f8659,plain,
! [X2,X0,X1] :
( k3_xboole_0(X1,X2) = k5_subset_1(X0,X1,X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X0))
| ~ m1_subset_1(X2,k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f3928]) ).
fof(f8771,plain,
! [X0,X1] :
( k3_tex_4(X0,X1) = X1
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v2_pre_topc(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4041]) ).
fof(f9029,plain,
! [X0,X1] :
( ~ m2_tsp_1(X1,X0)
| m1_pre_topc(X1,X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f7291]) ).
fof(f9032,plain,
! [X0,X1] :
( ~ l1_pre_topc(X0)
| ~ m2_tsp_1(X1,X0)
| l1_pre_topc(X1) ),
inference(cnf_transformation,[],[f4247]) ).
fof(f9401,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f57]) ).
fof(f9831,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(cnf_transformation,[],[f4722]) ).
fof(f10070,plain,
! [X0] :
( ~ l1_struct_0(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(cnf_transformation,[],[f4903]) ).
fof(f11000,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k4_xboole_0(X0,k4_xboole_0(X0,X1)),
inference(cnf_transformation,[],[f117]) ).
fof(f13029,plain,
! [X0] : k1_pcomps_1(X0) = u1_pre_topc(k2_pcomps_1(X0)),
inference(cnf_transformation,[],[f2611]) ).
fof(f13143,plain,
! [X0] : k1_zfmisc_1(X0) = k1_pcomps_1(X0),
inference(cnf_transformation,[],[f2652]) ).
fof(f13460,plain,
! [X0] : k1_zfmisc_1(X0) = u1_pre_topc(k2_pcomps_1(X0)),
inference(definition_unfolding,[],[f13143,f13029]) ).
fof(f13510,plain,
! [X0,X1] :
( m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f8308,f13460]) ).
fof(f13522,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| v3_pre_topc(sK35(X1,X2),X1)
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f8356,f13460]) ).
fof(f13523,plain,
! [X2,X0,X1] :
( ~ v2_pre_topc(X0)
| ~ v3_pre_topc(X2,X0)
| ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v2_tsp_2(X1,X0)
| ~ m2_tsp_1(X1,X0)
| v3_struct_0(X0)
| sK35(X1,X2) = k4_xboole_0(X2,k4_xboole_0(X2,u1_struct_0(X1)))
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f8355,f11000,f13460]) ).
fof(f13549,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,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| u1_struct_0(X1) != X5
| ~ m1_subset_1(X5,u1_pre_topc(k2_pcomps_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(definition_unfolding,[],[f8414,f13460,f13460]) ).
fof(f13557,plain,
m1_subset_1(sK49,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47)))),
inference(definition_unfolding,[],[f8432,f13460]) ).
fof(f13659,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,u1_pre_topc(k2_pcomps_1(X0)))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(X0)))
| k5_subset_1(X0,X1,X2) = k4_xboole_0(X1,k4_xboole_0(X1,X2)) ),
inference(definition_unfolding,[],[f8659,f11000,f13460,f13460]) ).
fof(f13733,plain,
! [X0,X1] :
( ~ v2_pre_topc(X0)
| ~ v3_pre_topc(X1,X0)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| v3_struct_0(X0)
| k3_tex_4(X0,X1) = X1
| ~ l1_pre_topc(X0) ),
inference(definition_unfolding,[],[f8771,f13460]) ).
fof(f14057,plain,
! [X0,X1] : k4_xboole_0(X0,k4_xboole_0(X0,X1)) = k4_xboole_0(X1,k4_xboole_0(X1,X0)),
inference(definition_unfolding,[],[f9401,f11000,f11000]) ).
fof(f15707,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,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_pcomps_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,[],[f13549]) ).
fof(f15708,plain,
! [X0,X1,X6] :
( ~ v1_funct_2(k4_tsp_2(X0,X1),u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X6,u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ m1_subset_1(u1_struct_0(X1),u1_pre_topc(k2_pcomps_1(u1_struct_0(X0))))
| ~ v1_funct_1(k4_tsp_2(X0,X1))
| 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)
| ~ 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,[],[f15707]) ).
fof(f16499,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK47)
| l1_pre_topc(X0) ),
inference(resolution,[],[f9032,f8426]) ).
fof(f16500,plain,
l1_pre_topc(sK48),
inference(resolution,[],[f16499,f8429]) ).
fof(f16505,plain,
( m1_pre_topc(sK48,sK47)
| ~ l1_pre_topc(sK47) ),
inference(resolution,[],[f9029,f8429]) ).
fof(f16506,plain,
m1_pre_topc(sK48,sK47),
inference(forward_subsumption_resolution,[],[f16505,f8426]) ).
fof(f16507,plain,
( v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| k4_tsp_2(sK47,sK48) = k1_tsp_2(sK47,sK48) ),
inference(resolution,[],[f16506,f8256]) ).
fof(f16508,plain,
( v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| v1_funct_2(k4_tsp_2(sK47,sK48),u1_struct_0(sK47),u1_struct_0(sK48)) ),
inference(resolution,[],[f16506,f8254]) ).
fof(f16509,plain,
( ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| v1_funct_2(k4_tsp_2(sK47,sK48),u1_struct_0(sK47),u1_struct_0(sK48)) ),
inference(forward_subsumption_resolution,[],[f16508,f8428]) ).
fof(f16510,plain,
( ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| k4_tsp_2(sK47,sK48) = k1_tsp_2(sK47,sK48) ),
inference(forward_subsumption_resolution,[],[f16507,f8428]) ).
fof(f16511,plain,
( ~ l1_pre_topc(sK47)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| v1_funct_2(k4_tsp_2(sK47,sK48),u1_struct_0(sK47),u1_struct_0(sK48)) ),
inference(forward_subsumption_resolution,[],[f16509,f8427]) ).
fof(f16512,plain,
( ~ l1_pre_topc(sK47)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| k4_tsp_2(sK47,sK48) = k1_tsp_2(sK47,sK48) ),
inference(forward_subsumption_resolution,[],[f16510,f8427]) ).
fof(f16513,plain,
( v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| v1_funct_2(k4_tsp_2(sK47,sK48),u1_struct_0(sK47),u1_struct_0(sK48)) ),
inference(forward_subsumption_resolution,[],[f16511,f8426]) ).
fof(f16514,plain,
( v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| k4_tsp_2(sK47,sK48) = k1_tsp_2(sK47,sK48) ),
inference(forward_subsumption_resolution,[],[f16512,f8426]) ).
fof(f16515,plain,
( ~ v2_tsp_2(sK48,sK47)
| v1_funct_2(k4_tsp_2(sK47,sK48),u1_struct_0(sK47),u1_struct_0(sK48)) ),
inference(forward_subsumption_resolution,[],[f16513,f8431]) ).
fof(f16516,plain,
( ~ v2_tsp_2(sK48,sK47)
| k4_tsp_2(sK47,sK48) = k1_tsp_2(sK47,sK48) ),
inference(forward_subsumption_resolution,[],[f16514,f8431]) ).
fof(f16517,plain,
v1_funct_2(k4_tsp_2(sK47,sK48),u1_struct_0(sK47),u1_struct_0(sK48)),
inference(forward_subsumption_resolution,[],[f16515,f8430]) ).
fof(f16518,plain,
k4_tsp_2(sK47,sK48) = k1_tsp_2(sK47,sK48),
inference(forward_subsumption_resolution,[],[f16516,f8430]) ).
fof(f16519,plain,
~ v3_pre_topc(k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),sK49),sK48),
inference(superposition,[],[f8434,f16518]) ).
fof(f16523,plain,
v1_funct_2(k1_tsp_2(sK47,sK48),u1_struct_0(sK47),u1_struct_0(sK48)),
inference(superposition,[],[f16517,f16518]) ).
fof(f16524,plain,
! [X0,X1] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47))))
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| v3_struct_0(sK47)
| v3_pre_topc(sK35(X1,X0),X1)
| ~ l1_pre_topc(sK47) ),
inference(resolution,[],[f13522,f8427]) ).
fof(f16526,plain,
! [X0] :
( ~ l1_pre_topc(X0)
| u1_struct_0(X0) = k2_pre_topc(X0) ),
inference(resolution,[],[f10070,f9831]) ).
fof(f16527,plain,
u1_struct_0(sK47) = k2_pre_topc(sK47),
inference(resolution,[],[f16526,f8426]) ).
fof(f16528,plain,
u1_struct_0(sK48) = k2_pre_topc(sK48),
inference(resolution,[],[f16526,f16500]) ).
fof(f16529,plain,
v1_funct_2(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)),
inference(superposition,[],[f16523,f16527]) ).
fof(f16531,plain,
m1_subset_1(sK49,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))),
inference(superposition,[],[f13557,f16527]) ).
fof(f16534,plain,
! [X0] :
( m2_relset_1(sK41(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(superposition,[],[f8389,f16527]) ).
fof(f16536,plain,
! [X0] :
( v1_funct_2(sK41(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(superposition,[],[f8391,f16527]) ).
fof(f16540,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m2_tsp_1(X0,sK47)
| v3_struct_0(sK47)
| ~ l1_pre_topc(sK47) ),
inference(superposition,[],[f13510,f16527]) ).
fof(f16543,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_1(k4_tsp_2(sK47,X0))
| k4_pre_topc(sK47,X0,k4_tsp_2(sK47,X0),X1) = k5_subset_1(k2_pre_topc(sK47),u1_struct_0(X0),k3_tex_4(sK47,X1))
| ~ v5_pre_topc(k4_tsp_2(sK47,X0),sK47,X0)
| ~ m2_relset_1(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(superposition,[],[f15708,f16527]) ).
fof(f16556,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_1(k4_tsp_2(sK47,X0))
| k4_pre_topc(sK47,X0,k4_tsp_2(sK47,X0),X1) = k5_subset_1(k2_pre_topc(sK47),u1_struct_0(X0),k3_tex_4(sK47,X1))
| ~ v5_pre_topc(k4_tsp_2(sK47,X0),sK47,X0)
| ~ m2_relset_1(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16543,f8428]) ).
fof(f16565,plain,
! [X0] :
( m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m2_tsp_1(X0,sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16540,f8428]) ).
fof(f16575,plain,
! [X0] :
( v1_funct_2(sK41(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16536,f8428]) ).
fof(f16577,plain,
! [X0] :
( m2_relset_1(sK41(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16534,f8428]) ).
fof(f16581,plain,
v1_funct_2(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48)),
inference(forward_demodulation,[],[f16529,f16528]) ).
fof(f16582,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_1(k4_tsp_2(sK47,X0))
| k4_pre_topc(sK47,X0,k4_tsp_2(sK47,X0),X1) = k5_subset_1(k2_pre_topc(sK47),u1_struct_0(X0),k3_tex_4(sK47,X1))
| ~ v5_pre_topc(k4_tsp_2(sK47,X0),sK47,X0)
| ~ m2_relset_1(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16556,f8427]) ).
fof(f16583,plain,
! [X0] :
( ~ m2_tsp_1(X0,sK47)
| m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))) ),
inference(forward_subsumption_resolution,[],[f16565,f8426]) ).
fof(f16584,plain,
! [X0] :
( v1_funct_2(sK41(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16575,f8427]) ).
fof(f16585,plain,
! [X0] :
( m2_relset_1(sK41(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16577,f8427]) ).
fof(f16588,plain,
! [X0,X1] :
( ~ v1_funct_2(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m1_subset_1(u1_struct_0(X0),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_1(k4_tsp_2(sK47,X0))
| k4_pre_topc(sK47,X0,k4_tsp_2(sK47,X0),X1) = k5_subset_1(k2_pre_topc(sK47),u1_struct_0(X0),k3_tex_4(sK47,X1))
| ~ v5_pre_topc(k4_tsp_2(sK47,X0),sK47,X0)
| ~ m2_relset_1(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v2_tsp_2(X0,sK47)
| ~ m2_tsp_1(X0,sK47) ),
inference(forward_subsumption_resolution,[],[f16582,f8426]) ).
fof(f16589,plain,
! [X0] :
( ~ v2_tsp_2(X0,sK47)
| v3_struct_0(X0)
| v1_funct_2(sK41(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| ~ m2_tsp_1(X0,sK47) ),
inference(forward_subsumption_resolution,[],[f16584,f8426]) ).
fof(f16590,plain,
! [X0] :
( ~ v2_tsp_2(X0,sK47)
| v3_struct_0(X0)
| m2_relset_1(sK41(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| ~ m2_tsp_1(X0,sK47) ),
inference(forward_subsumption_resolution,[],[f16585,f8426]) ).
fof(f16592,plain,
! [X0,X1] :
( ~ v2_tsp_2(X0,sK47)
| ~ m1_subset_1(X1,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_1(k4_tsp_2(sK47,X0))
| k4_pre_topc(sK47,X0,k4_tsp_2(sK47,X0),X1) = k5_subset_1(k2_pre_topc(sK47),u1_struct_0(X0),k3_tex_4(sK47,X1))
| ~ v5_pre_topc(k4_tsp_2(sK47,X0),sK47,X0)
| ~ m2_relset_1(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_funct_2(k4_tsp_2(sK47,X0),k2_pre_topc(sK47),u1_struct_0(X0))
| ~ m2_tsp_1(X0,sK47) ),
inference(forward_subsumption_resolution,[],[f16588,f16583]) ).
fof(f16662,plain,
( v3_struct_0(sK48)
| v1_funct_2(sK41(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ m2_tsp_1(sK48,sK47) ),
inference(resolution,[],[f16589,f8430]) ).
fof(f16663,plain,
( v1_funct_2(sK41(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ m2_tsp_1(sK48,sK47) ),
inference(forward_subsumption_resolution,[],[f16662,f8431]) ).
fof(f16664,plain,
v1_funct_2(sK41(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)),
inference(forward_subsumption_resolution,[],[f16663,f8429]) ).
fof(f16665,plain,
v1_funct_2(sK41(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48)),
inference(forward_demodulation,[],[f16664,f16528]) ).
fof(f16666,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_1(k4_tsp_2(sK47,sK48))
| k4_pre_topc(sK47,sK48,k4_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),u1_struct_0(sK48),k3_tex_4(sK47,X0))
| ~ v5_pre_topc(k4_tsp_2(sK47,sK48),sK47,sK48)
| ~ m2_relset_1(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| v3_struct_0(sK48)
| ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ m2_tsp_1(sK48,sK47) ),
inference(resolution,[],[f16592,f8430]) ).
fof(f16667,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_1(k4_tsp_2(sK47,sK48))
| k4_pre_topc(sK47,sK48,k4_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),u1_struct_0(sK48),k3_tex_4(sK47,X0))
| ~ v5_pre_topc(k4_tsp_2(sK47,sK48),sK47,sK48)
| ~ m2_relset_1(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ m2_tsp_1(sK48,sK47) ),
inference(forward_subsumption_resolution,[],[f16666,f8431]) ).
fof(f16668,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_1(k4_tsp_2(sK47,sK48))
| k4_pre_topc(sK47,sK48,k4_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),u1_struct_0(sK48),k3_tex_4(sK47,X0))
| ~ v5_pre_topc(k4_tsp_2(sK47,sK48),sK47,sK48)
| ~ m2_relset_1(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)) ),
inference(forward_subsumption_resolution,[],[f16667,f8429]) ).
fof(f16669,plain,
! [X0] :
( ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| k4_pre_topc(sK47,sK48,k4_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),u1_struct_0(sK48),k3_tex_4(sK47,X0))
| ~ v5_pre_topc(k4_tsp_2(sK47,sK48),sK47,sK48)
| ~ m2_relset_1(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)) ),
inference(forward_demodulation,[],[f16668,f16518]) ).
fof(f16670,plain,
! [X0] :
( k4_pre_topc(sK47,sK48,k4_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0))
| ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v5_pre_topc(k4_tsp_2(sK47,sK48),sK47,sK48)
| ~ m2_relset_1(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)) ),
inference(forward_demodulation,[],[f16669,f16528]) ).
fof(f16671,plain,
! [X0] :
( k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0))
| ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v5_pre_topc(k4_tsp_2(sK47,sK48),sK47,sK48)
| ~ m2_relset_1(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)) ),
inference(forward_demodulation,[],[f16670,f16518]) ).
fof(f16672,plain,
! [X0] :
( ~ v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0))
| ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m2_relset_1(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)) ),
inference(forward_demodulation,[],[f16671,f16518]) ).
fof(f16673,plain,
! [X0] :
( ~ m2_relset_1(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0))
| ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)) ),
inference(forward_demodulation,[],[f16672,f16528]) ).
fof(f16674,plain,
! [X0] :
( ~ m2_relset_1(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0))
| ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)) ),
inference(forward_demodulation,[],[f16673,f16518]) ).
fof(f16675,plain,
! [X0] :
( ~ v1_funct_2(k4_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ m2_relset_1(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0))
| ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))) ),
inference(forward_demodulation,[],[f16674,f16528]) ).
fof(f16676,plain,
! [X0] :
( ~ v1_funct_2(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ m2_relset_1(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0))
| ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))) ),
inference(forward_demodulation,[],[f16675,f16518]) ).
fof(f16677,plain,
! [X0] :
( ~ m2_relset_1(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0))
| ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))) ),
inference(forward_subsumption_resolution,[],[f16676,f16581]) ).
fof(f16679,definition,
( spl699_43
<=> v1_funct_1(k1_tsp_2(sK47,sK48)) ),
introduced(definition,[new_symbols(definition,[spl699_43])],[avatar_definition]) ).
fof(f16680,plain,
( ~ v1_funct_1(k1_tsp_2(sK47,sK48))
| spl699_43 ),
inference(avatar_component_clause,[],[f16679]) ).
fof(f16682,definition,
( spl699_44
<=> ! [X0] :
( k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))) ) ),
introduced(definition,[new_symbols(definition,[spl699_44])],[avatar_definition]) ).
fof(f16683,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),X0) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,X0)) )
| ~ spl699_44 ),
inference(avatar_component_clause,[],[f16682]) ).
fof(f16685,definition,
( spl699_45
<=> v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48) ),
introduced(definition,[new_symbols(definition,[spl699_45])],[avatar_definition]) ).
fof(f16686,plain,
( ~ v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| spl699_45 ),
inference(avatar_component_clause,[],[f16685]) ).
fof(f16688,definition,
( spl699_46
<=> m2_relset_1(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48)) ),
introduced(definition,[new_symbols(definition,[spl699_46])],[avatar_definition]) ).
fof(f16689,plain,
( ~ m2_relset_1(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| spl699_46 ),
inference(avatar_component_clause,[],[f16688]) ).
fof(f16690,plain,
( ~ spl699_43
| spl699_44
| ~ spl699_45
| ~ spl699_46 ),
inference(avatar_split_clause,[],[f16677,f16688,f16685,f16682,f16679]) ).
fof(f16696,plain,
( v3_struct_0(sK48)
| m2_relset_1(sK41(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ m2_tsp_1(sK48,sK47) ),
inference(resolution,[],[f16590,f8430]) ).
fof(f16697,plain,
( m2_relset_1(sK41(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ m2_tsp_1(sK48,sK47) ),
inference(forward_subsumption_resolution,[],[f16696,f8431]) ).
fof(f16698,plain,
m2_relset_1(sK41(sK47,sK48),k2_pre_topc(sK47),u1_struct_0(sK48)),
inference(forward_subsumption_resolution,[],[f16697,f8429]) ).
fof(f16699,plain,
m2_relset_1(sK41(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48)),
inference(forward_demodulation,[],[f16698,f16528]) ).
fof(f16711,plain,
! [X0,X1] :
( ~ v3_borsuk_1(X0,sK47,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK47),u1_struct_0(X1))
| ~ v5_pre_topc(X0,sK47,X1)
| ~ m2_relset_1(X0,u1_struct_0(sK47),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| v3_struct_0(sK47)
| k1_tsp_2(sK47,X1) = X0
| ~ l1_pre_topc(sK47) ),
inference(resolution,[],[f8400,f8427]) ).
fof(f16712,plain,
! [X0,X1] :
( ~ v3_borsuk_1(X0,sK47,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK47),u1_struct_0(X1))
| ~ v5_pre_topc(X0,sK47,X1)
| ~ m2_relset_1(X0,u1_struct_0(sK47),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| k1_tsp_2(sK47,X1) = X0
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16711,f8428]) ).
fof(f16713,plain,
! [X0,X1] :
( ~ v3_borsuk_1(X0,sK47,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK47),u1_struct_0(X1))
| ~ v5_pre_topc(X0,sK47,X1)
| ~ m2_relset_1(X0,u1_struct_0(sK47),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| k1_tsp_2(sK47,X1) = X0 ),
inference(forward_subsumption_resolution,[],[f16712,f8426]) ).
fof(f16714,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,k2_pre_topc(sK47),u1_struct_0(X1))
| ~ v3_borsuk_1(X0,sK47,X1)
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK47,X1)
| ~ m2_relset_1(X0,u1_struct_0(sK47),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| k1_tsp_2(sK47,X1) = X0 ),
inference(forward_demodulation,[],[f16713,f16527]) ).
fof(f16715,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,sK47)
| ~ v1_funct_2(X0,k2_pre_topc(sK47),u1_struct_0(X1))
| ~ v3_borsuk_1(X0,sK47,X1)
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK47,X1)
| v3_struct_0(X1)
| ~ m2_relset_1(X0,k2_pre_topc(sK47),u1_struct_0(X1))
| ~ m2_tsp_1(X1,sK47)
| k1_tsp_2(sK47,X1) = X0 ),
inference(forward_demodulation,[],[f16714,f16527]) ).
fof(f16716,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ v3_borsuk_1(X0,sK47,sK48)
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK47,sK48)
| v3_struct_0(sK48)
| ~ m2_relset_1(X0,k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ m2_tsp_1(sK48,sK47)
| k1_tsp_2(sK47,sK48) = X0 ),
inference(resolution,[],[f16715,f8430]) ).
fof(f16717,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ v3_borsuk_1(X0,sK47,sK48)
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK47,sK48)
| ~ m2_relset_1(X0,k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ m2_tsp_1(sK48,sK47)
| k1_tsp_2(sK47,sK48) = X0 ),
inference(forward_subsumption_resolution,[],[f16716,f8431]) ).
fof(f16718,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK47),u1_struct_0(sK48))
| ~ v3_borsuk_1(X0,sK47,sK48)
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK47,sK48)
| ~ m2_relset_1(X0,k2_pre_topc(sK47),u1_struct_0(sK48))
| k1_tsp_2(sK47,sK48) = X0 ),
inference(forward_subsumption_resolution,[],[f16717,f8429]) ).
fof(f16719,plain,
! [X0] :
( ~ v1_funct_2(X0,k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ v3_borsuk_1(X0,sK47,sK48)
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK47,sK48)
| ~ m2_relset_1(X0,k2_pre_topc(sK47),u1_struct_0(sK48))
| k1_tsp_2(sK47,sK48) = X0 ),
inference(forward_demodulation,[],[f16718,f16528]) ).
fof(f16720,plain,
! [X0] :
( ~ v3_borsuk_1(X0,sK47,sK48)
| ~ v1_funct_2(X0,k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ m2_relset_1(X0,k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ v1_funct_1(X0)
| ~ v5_pre_topc(X0,sK47,sK48)
| k1_tsp_2(sK47,sK48) = X0 ),
inference(forward_demodulation,[],[f16719,f16528]) ).
fof(f16721,plain,
( ~ v1_funct_2(sK41(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ m2_relset_1(sK41(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ v1_funct_1(sK41(sK47,sK48))
| ~ v5_pre_topc(sK41(sK47,sK48),sK47,sK48)
| k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(resolution,[],[f16720,f8388]) ).
fof(f16722,plain,
( ~ v1_funct_2(sK41(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ m2_relset_1(sK41(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ v5_pre_topc(sK41(sK47,sK48),sK47,sK48)
| k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16721,f8392]) ).
fof(f16723,plain,
( ~ v1_funct_2(sK41(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| ~ m2_relset_1(sK41(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16722,f8390]) ).
fof(f16724,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47))))
| v3_struct_0(sK47)
| k3_tex_4(sK47,X0) = X0
| ~ l1_pre_topc(sK47) ),
inference(resolution,[],[f13733,f8427]) ).
fof(f16732,plain,
! [X0,X1] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47))))
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| v3_pre_topc(sK35(X1,X0),X1)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16524,f8428]) ).
fof(f16733,plain,
( ~ m2_relset_1(sK41(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48))
| k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16723,f16665]) ).
fof(f16734,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47))))
| k3_tex_4(sK47,X0) = X0
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16724,f8428]) ).
fof(f16736,plain,
! [X0,X1] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47))))
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| v3_pre_topc(sK35(X1,X0),X1) ),
inference(forward_subsumption_resolution,[],[f16732,f8426]) ).
fof(f16737,plain,
( k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16733,f16699]) ).
fof(f16738,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47))))
| k3_tex_4(sK47,X0) = X0 ),
inference(forward_subsumption_resolution,[],[f16734,f8426]) ).
fof(f16740,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,sK47)
| ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m2_tsp_1(X1,sK47)
| v3_pre_topc(sK35(X1,X0),X1) ),
inference(forward_demodulation,[],[f16736,f16527]) ).
fof(f16741,plain,
( k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16737,f8431]) ).
fof(f16742,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| k3_tex_4(sK47,X0) = X0 ),
inference(forward_demodulation,[],[f16738,f16527]) ).
fof(f16743,plain,
( k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16741,f8430]) ).
fof(f16744,plain,
( k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16743,f8429]) ).
fof(f16745,plain,
( k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16744,f8428]) ).
fof(f16746,plain,
( k1_tsp_2(sK47,sK48) = sK41(sK47,sK48)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16745,f8427]) ).
fof(f16747,plain,
k1_tsp_2(sK47,sK48) = sK41(sK47,sK48),
inference(forward_subsumption_resolution,[],[f16746,f8426]) ).
fof(f16748,plain,
m2_relset_1(k1_tsp_2(sK47,sK48),k2_pre_topc(sK47),k2_pre_topc(sK48)),
inference(superposition,[],[f16699,f16747]) ).
fof(f16750,plain,
( v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(superposition,[],[f8390,f16747]) ).
fof(f16753,plain,
( v1_funct_1(k1_tsp_2(sK47,sK48))
| v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(superposition,[],[f8392,f16747]) ).
fof(f16755,plain,
( v3_struct_0(sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47)
| spl699_43 ),
inference(forward_subsumption_resolution,[],[f16753,f16680]) ).
fof(f16758,plain,
( v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16750,f8431]) ).
fof(f16759,plain,
( ~ v2_tsp_2(sK48,sK47)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47)
| spl699_43 ),
inference(forward_subsumption_resolution,[],[f16755,f8431]) ).
fof(f16762,plain,
( v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16758,f8430]) ).
fof(f16763,plain,
( ~ m2_tsp_1(sK48,sK47)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47)
| spl699_43 ),
inference(forward_subsumption_resolution,[],[f16759,f8430]) ).
fof(f16766,plain,
( v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16762,f8429]) ).
fof(f16767,plain,
( v3_struct_0(sK47)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47)
| spl699_43 ),
inference(forward_subsumption_resolution,[],[f16763,f8429]) ).
fof(f16770,plain,
( v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16766,f8428]) ).
fof(f16771,plain,
( ~ v2_pre_topc(sK47)
| ~ l1_pre_topc(sK47)
| spl699_43 ),
inference(forward_subsumption_resolution,[],[f16767,f8428]) ).
fof(f16774,plain,
( v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48)
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16770,f8427]) ).
fof(f16775,plain,
( ~ l1_pre_topc(sK47)
| spl699_43 ),
inference(forward_subsumption_resolution,[],[f16771,f8427]) ).
fof(f16778,plain,
v5_pre_topc(k1_tsp_2(sK47,sK48),sK47,sK48),
inference(forward_subsumption_resolution,[],[f16774,f8426]) ).
fof(f16779,plain,
( $false
| spl699_43 ),
inference(forward_subsumption_resolution,[],[f16775,f8426]) ).
fof(f16780,plain,
spl699_43,
inference(avatar_contradiction_clause,[],[f16779]) ).
fof(f16783,plain,
( $false
| spl699_45 ),
inference(forward_subsumption_resolution,[],[f16686,f16778]) ).
fof(f16784,plain,
spl699_45,
inference(avatar_contradiction_clause,[],[f16783]) ).
fof(f16791,plain,
( $false
| spl699_46 ),
inference(forward_subsumption_resolution,[],[f16689,f16748]) ).
fof(f16792,plain,
spl699_46,
inference(avatar_contradiction_clause,[],[f16791]) ).
fof(f16793,plain,
( k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),sK49) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),k3_tex_4(sK47,sK49))
| ~ spl699_44 ),
inference(resolution,[],[f16683,f16531]) ).
fof(f16794,plain,
( ~ m1_subset_1(sK49,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| sK49 = k3_tex_4(sK47,sK49) ),
inference(resolution,[],[f16742,f8433]) ).
fof(f16795,plain,
sK49 = k3_tex_4(sK47,sK49),
inference(forward_subsumption_resolution,[],[f16794,f16531]) ).
fof(f16796,plain,
( k4_pre_topc(sK47,sK48,k1_tsp_2(sK47,sK48),sK49) = k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),sK49)
| ~ spl699_44 ),
inference(superposition,[],[f16793,f16795]) ).
fof(f16797,plain,
( ~ v3_pre_topc(k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),sK49),sK48)
| ~ spl699_44 ),
inference(superposition,[],[f16519,f16796]) ).
fof(f16812,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m2_tsp_1(sK48,sK47)
| v3_pre_topc(sK35(sK48,X0),sK48) ),
inference(resolution,[],[f16740,f8430]) ).
fof(f16813,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| v3_pre_topc(sK35(sK48,X0),sK48) ),
inference(forward_subsumption_resolution,[],[f16812,f8429]) ).
fof(f16818,plain,
( ~ m1_subset_1(sK49,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| v3_pre_topc(sK35(sK48,sK49),sK48) ),
inference(resolution,[],[f16813,f8433]) ).
fof(f16819,plain,
v3_pre_topc(sK35(sK48,sK49),sK48),
inference(forward_subsumption_resolution,[],[f16818,f16531]) ).
fof(f16834,plain,
! [X0,X1] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47))))
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| v3_struct_0(sK47)
| sK35(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1)))
| ~ l1_pre_topc(sK47) ),
inference(resolution,[],[f13523,f8427]) ).
fof(f16835,plain,
! [X0,X1] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47))))
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| sK35(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1)))
| ~ l1_pre_topc(sK47) ),
inference(forward_subsumption_resolution,[],[f16834,f8428]) ).
fof(f16836,plain,
! [X0,X1] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(u1_struct_0(sK47))))
| ~ v2_tsp_2(X1,sK47)
| ~ m2_tsp_1(X1,sK47)
| sK35(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) ),
inference(forward_subsumption_resolution,[],[f16835,f8426]) ).
fof(f16837,plain,
! [X0,X1] :
( ~ v2_tsp_2(X1,sK47)
| ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m2_tsp_1(X1,sK47)
| sK35(X1,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(X1))) ),
inference(forward_demodulation,[],[f16836,f16527]) ).
fof(f16838,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| ~ m2_tsp_1(sK48,sK47)
| sK35(sK48,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(sK48))) ),
inference(resolution,[],[f16837,f8430]) ).
fof(f16839,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK47)
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| sK35(sK48,X0) = k4_xboole_0(X0,k4_xboole_0(X0,u1_struct_0(sK48))) ),
inference(forward_subsumption_resolution,[],[f16838,f8429]) ).
fof(f16840,plain,
! [X0] :
( ~ v3_pre_topc(X0,sK47)
| sK35(sK48,X0) = k4_xboole_0(X0,k4_xboole_0(X0,k2_pre_topc(sK48)))
| ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))) ),
inference(forward_demodulation,[],[f16839,f16528]) ).
fof(f16841,plain,
( sK35(sK48,sK49) = k4_xboole_0(sK49,k4_xboole_0(sK49,k2_pre_topc(sK48)))
| ~ m1_subset_1(sK49,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))) ),
inference(resolution,[],[f16840,f8433]) ).
fof(f16842,plain,
sK35(sK48,sK49) = k4_xboole_0(sK49,k4_xboole_0(sK49,k2_pre_topc(sK48))),
inference(forward_subsumption_resolution,[],[f16841,f16531]) ).
fof(f16976,plain,
! [X0] :
( ~ m1_subset_1(X0,u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47))))
| k4_xboole_0(X0,k4_xboole_0(X0,sK49)) = k5_subset_1(k2_pre_topc(sK47),X0,sK49) ),
inference(resolution,[],[f13659,f16531]) ).
fof(f17276,plain,
m1_subset_1(u1_struct_0(sK48),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))),
inference(resolution,[],[f16583,f8429]) ).
fof(f17277,plain,
m1_subset_1(k2_pre_topc(sK48),u1_pre_topc(k2_pcomps_1(k2_pre_topc(sK47)))),
inference(forward_demodulation,[],[f17276,f16528]) ).
fof(f17281,plain,
k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),sK49) = k4_xboole_0(k2_pre_topc(sK48),k4_xboole_0(k2_pre_topc(sK48),sK49)),
inference(resolution,[],[f17277,f16976]) ).
fof(f17298,plain,
k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),sK49) = k4_xboole_0(sK49,k4_xboole_0(sK49,k2_pre_topc(sK48))),
inference(forward_demodulation,[],[f17281,f14057]) ).
fof(f17301,plain,
k5_subset_1(k2_pre_topc(sK47),k2_pre_topc(sK48),sK49) = sK35(sK48,sK49),
inference(forward_demodulation,[],[f17298,f16842]) ).
fof(f17308,plain,
( ~ v3_pre_topc(sK35(sK48,sK49),sK48)
| ~ spl699_44 ),
inference(superposition,[],[f16797,f17301]) ).
fof(f17309,plain,
( $false
| ~ spl699_44 ),
inference(forward_subsumption_resolution,[],[f17308,f16819]) ).
fof(f17310,plain,
~ spl699_44,
inference(avatar_contradiction_clause,[],[f17309]) ).
cnf(s29,plain,
( ~ spl699_43
| spl699_44
| ~ spl699_45
| ~ spl699_46 ),
inference(sat_conversion,[],[f16690]) ).
cnf(s36,plain,
spl699_43,
inference(sat_conversion,[],[f16780]) ).
cnf(s37,plain,
spl699_45,
inference(sat_conversion,[],[f16784]) ).
cnf(s38,plain,
spl699_46,
inference(sat_conversion,[],[f16792]) ).
cnf(s56,plain,
~ spl699_44,
inference(sat_conversion,[],[f17310]) ).
cnf(s58,plain,
$false,
inference(rat,[],[s29,s38,s37,s56,s36]) ).
fof(f17311,plain,
$false,
inference(avatar_sat_refutation,[],[s58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TOP041+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.18 % Computer : n019.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 19:02:18 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.21 Running first-order theorem proving
% 0.06/0.21 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
% 16.32/3.05 % (117775)Detected formulas, will run a generic FOF schedule.
% 16.32/3.05 % (117782)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=2319266499:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 16.32/3.05 % (117786)dis-21_1_sil=8000:lcm=predicate:random_seed=1734474000: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)
% 16.32/3.05 % (117783)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1276991428:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 16.32/3.05 % (117784)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1948312980:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 16.32/3.05 % (117780)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=3220721195:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 16.32/3.05 % (117781)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=3687598874:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 16.32/3.05 % (117785)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1123388859:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 16.32/3.05 % (117783)Refutation not found, incomplete strategy
% 16.32/3.05 % (117783)------------------------------
% 16.32/3.05 % (117783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.32/3.05 % (117783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.32/3.05 % (117783)CaDiCaL version: 2.1.3
% 16.32/3.05 % (117783)Termination reason: Refutation not found, incomplete strategy
% 16.32/3.05 % (117783)Time elapsed: 0.030 s
% 16.32/3.05 % (117783)Peak memory usage: 93 MB
% 16.32/3.05 % (117783)Instructions burned: 42 (million)
% 16.32/3.05 % (117784)Instruction limit reached!
% 16.32/3.05 % (117784)------------------------------
% 16.32/3.05 % (117784)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.32/3.05 % (117784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.32/3.05 % (117784)CaDiCaL version: 2.1.3
% 16.32/3.05 % (117784)Termination reason: Instruction limit
% 16.32/3.05 % (117784)Termination phase: Saturation
% 16.32/3.05 % (117784)Time elapsed: 0.075 s
% 16.32/3.05 % (117784)Peak memory usage: 93 MB
% 16.32/3.05 % (117784)Instructions burned: 119 (million)
% 16.32/3.05 % (117786)Instruction limit reached!
% 16.32/3.05 % (117786)------------------------------
% 16.32/3.05 % (117786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.32/3.05 % (117786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.32/3.05 % (117786)CaDiCaL version: 2.1.3
% 16.32/3.05 % (117786)Termination reason: Instruction limit
% 16.32/3.05 % (117786)Termination phase: Preprocessing 3
% 16.32/3.05 % (117786)Time elapsed: 0.088 s
% 16.32/3.05 % (117786)Peak memory usage: 94 MB
% 16.32/3.05 % (117786)Instructions burned: 129 (million)
% 16.32/3.05 % (117785)Instruction limit reached!
% 16.32/3.05 % (117785)------------------------------
% 16.32/3.05 % (117785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.32/3.05 % (117785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.32/3.05 % (117785)CaDiCaL version: 2.1.3
% 16.32/3.05 % (117785)Termination reason: Instruction limit
% 16.32/3.05 % (117785)Termination phase: Preprocessing 3
% 16.32/3.05 % (117785)Time elapsed: 0.095 s
% 16.32/3.05 % (117785)Peak memory usage: 94 MB
% 16.32/3.05 % (117785)Instructions burned: 141 (million)
% 16.32/3.05 % (117794)lrs+10_1_sil=8000:sp=occurrence:random_seed=2904069633:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 16.32/3.05 % (117795)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3522636437:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 16.32/3.05 % (117783)------------------------------
% 16.32/3.05 % (117783)------------------------------
% 16.32/3.05 % (117796)lrs+1011_1_sil=32000:sp=occurrence:random_seed=385407079:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 16.32/3.05 % (117795)Instruction limit reached!
% 16.32/3.05 % (117795)------------------------------
% 16.32/3.05 % (117795)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.32/3.05 % (117795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.30 % (117795)CaDiCaL version: 2.1.3
% 10.67/3.30 % (117795)Termination reason: Instruction limit
% 10.67/3.30 % (117795)Termination phase: Saturation
% 10.67/3.30 % (117795)Time elapsed: 0.088 s
% 10.67/3.30 % (117795)Peak memory usage: 94 MB
% 10.67/3.30 % (117795)Instructions burned: 157 (million)
% 10.67/3.30 % (117794)Instruction limit reached!
% 10.67/3.30 % (117794)------------------------------
% 10.67/3.30 % (117794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.30 % (117794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.30 % (117794)CaDiCaL version: 2.1.3
% 10.67/3.30 % (117794)Termination reason: Instruction limit
% 10.67/3.30 % (117794)Termination phase: Saturation
% 10.67/3.30 % (117794)Time elapsed: 0.191 s
% 10.67/3.30 % (117794)Peak memory usage: 98 MB
% 10.67/3.30 % (117794)Instructions burned: 286 (million)
% 10.67/3.30 % (117799)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=4284210465:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 10.67/3.30 % (117796)Instruction limit reached!
% 10.67/3.30 % (117796)------------------------------
% 10.67/3.30 % (117796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.30 % (117796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.30 % (117796)CaDiCaL version: 2.1.3
% 10.67/3.30 % (117796)Termination reason: Instruction limit
% 10.67/3.30 % (117796)Termination phase: Saturation
% 10.67/3.30 % (117796)Time elapsed: 0.204 s
% 10.67/3.30 % (117796)Peak memory usage: 95 MB
% 10.67/3.30 % (117796)Instructions burned: 327 (million)
% 10.67/3.30 % (117801)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3053054185:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2993 on theBenchmark for (2993ds/294Mi)
% 10.67/3.30 % (117802)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3242301227:i=2350_2992 on theBenchmark for (2992ds/2350Mi)
% 10.67/3.30 % (117799)Instruction limit reached!
% 10.67/3.30 % (117799)------------------------------
% 10.67/3.30 % (117799)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.30 % (117799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.30 % (117799)CaDiCaL version: 2.1.3
% 10.67/3.30 % (117799)Termination reason: Instruction limit
% 10.67/3.30 % (117799)Termination phase: Property scanning
% 10.67/3.30 % (117799)Time elapsed: 0.147 s
% 10.67/3.30 % (117799)Peak memory usage: 98 MB
% 10.67/3.30 % (117799)Instructions burned: 250 (million)
% 10.67/3.30 % (117804)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=906632029:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 10.67/3.30 % (117801)Instruction limit reached!
% 10.67/3.30 % (117801)------------------------------
% 10.67/3.30 % (117801)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.30 % (117801)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.30 % (117801)CaDiCaL version: 2.1.3
% 10.67/3.30 % (117801)Termination reason: Instruction limit
% 10.67/3.30 % (117801)Termination phase: Saturation
% 10.67/3.30 % (117801)Time elapsed: 0.167 s
% 10.67/3.30 % (117801)Peak memory usage: 98 MB
% 10.67/3.30 % (117801)Instructions burned: 295 (million)
% 10.67/3.30 % (117804)Instruction limit reached!
% 10.67/3.30 % (117804)------------------------------
% 10.67/3.30 % (117804)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.30 % (117804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.30 % (117804)CaDiCaL version: 2.1.3
% 10.67/3.30 % (117804)Termination reason: Instruction limit
% 10.67/3.30 % (117804)Termination phase: Property scanning
% 10.67/3.30 % (117804)Time elapsed: 0.069 s
% 10.67/3.30 % (117804)Peak memory usage: 94 MB
% 10.67/3.30 % (117804)Instructions burned: 114 (million)
% 10.67/3.30 % (117807)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3998966643:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 10.67/3.30 % (117807)Instruction limit reached!
% 10.67/3.30 % (117807)------------------------------
% 10.67/3.30 % (117807)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.30 % (117807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.30 % (117807)CaDiCaL version: 2.1.3
% 10.67/3.30 % (117807)Termination reason: Instruction limit
% 10.67/3.30 % (117807)Termination phase: Preprocessing 3
% 10.67/3.30 % (117807)Time elapsed: 0.083 s
% 10.67/3.30 % (117807)Peak memory usage: 96 MB
% 10.67/3.30 % (117807)Instructions burned: 128 (million)
% 10.67/3.30 % (117809)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1884647364:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2989 on theBenchmark for (2989ds/114Mi)
% 10.67/3.30 % (117810)lrs+10_1_sil=8000:sp=occurrence:random_seed=372731063:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 10.67/3.30 % (117809)Instruction limit reached!
% 10.67/3.30 % (117809)------------------------------
% 10.67/3.30 % (117809)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.30 % (117809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.30 % (117809)CaDiCaL version: 2.1.3
% 10.67/3.30 % (117809)Termination reason: Instruction limit
% 10.67/3.30 % (117809)Termination phase: Preprocessing 3
% 10.67/3.30 % (117809)Time elapsed: 0.058 s
% 10.67/3.30 % (117809)Peak memory usage: 90 MB
% 10.67/3.30 % (117809)Instructions burned: 114 (million)
% 10.67/3.30 % (117813)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2516399500:i=437:sd=1:aac=none:ss=included_2988 on theBenchmark for (2988ds/437Mi)
% 10.67/3.30 % (117815)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=961991150:i=5202:ss=axioms:sgt=16_2987 on theBenchmark for (2987ds/5202Mi)
% 10.67/3.30 % (117813)Instruction limit reached!
% 10.67/3.30 % (117813)------------------------------
% 10.67/3.30 % (117813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.30 % (117813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.30 % (117813)CaDiCaL version: 2.1.3
% 10.67/3.30 % (117813)Termination reason: Instruction limit
% 10.67/3.30 % (117813)Termination phase: Saturation
% 10.67/3.30 % (117813)Time elapsed: 0.252 s
% 10.67/3.30 % (117813)Peak memory usage: 97 MB
% 10.67/3.30 % (117813)Instructions burned: 438 (million)
% 10.67/3.30 % (117818)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=490717620:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2984 on theBenchmark for (2984ds/134Mi)
% 10.67/3.30 % (117810)Instruction limit reached!
% 10.67/3.30 % (117810)------------------------------
% 10.67/3.31 % (117810)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.31 % (117810)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.31 % (117810)CaDiCaL version: 2.1.3
% 10.67/3.31 % (117810)Termination reason: Instruction limit
% 10.67/3.31 % (117810)Termination phase: Saturation
% 10.67/3.31 % (117810)Time elapsed: 0.579 s
% 10.67/3.31 % (117810)Peak memory usage: 106 MB
% 10.67/3.31 % (117810)Instructions burned: 908 (million)
% 10.67/3.31 % (117818)Instruction limit reached!
% 10.67/3.31 % (117818)------------------------------
% 10.67/3.31 % (117818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.31 % (117818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.31 % (117818)CaDiCaL version: 2.1.3
% 10.67/3.31 % (117818)Termination reason: Instruction limit
% 10.67/3.31 % (117818)Termination phase: Saturation
% 10.67/3.31 % (117818)Time elapsed: 0.079 s
% 10.67/3.31 % (117818)Peak memory usage: 95 MB
% 10.67/3.31 % (117818)Instructions burned: 134 (million)
% 10.67/3.31 % (117820)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=2866090242:st=8:i=592:sd=3:ep=RST:ss=axioms_2982 on theBenchmark for (2982ds/592Mi)
% 10.67/3.31 % (117821)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=883418236:st=3:i=13193:sd=3:ss=axioms_2981 on theBenchmark for (2981ds/13193Mi)
% 10.67/3.31 % (117820)Instruction limit reached!
% 10.67/3.31 % (117820)------------------------------
% 10.67/3.31 % (117820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.31 % (117820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.31 % (117820)CaDiCaL version: 2.1.3
% 10.67/3.31 % (117820)Termination reason: Instruction limit
% 10.67/3.31 % (117820)Termination phase: Saturation
% 10.67/3.31 % (117820)Time elapsed: 0.318 s
% 10.67/3.31 % (117820)Peak memory usage: 106 MB
% 10.67/3.31 % (117820)Instructions burned: 592 (million)
% 10.67/3.31 % (117781)First to succeed.
% 10.67/3.31 % (117781)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-117775"
% 10.67/3.31 % (117802)Instruction limit reached!
% 10.67/3.31 % (117802)------------------------------
% 10.67/3.31 % (117802)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.31 % (117802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.31 % (117802)CaDiCaL version: 2.1.3
% 10.67/3.31 % (117802)Termination reason: Instruction limit
% 10.67/3.31 % (117802)Termination phase: Saturation
% 10.67/3.31 % (117802)Time elapsed: 1.494 s
% 10.67/3.31 % (117802)Peak memory usage: 240 MB
% 10.67/3.31 % (117802)Instructions burned: 2352 (million)
% 10.67/3.31 % (117824)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=259779223:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2977 on theBenchmark for (2977ds/125Mi)
% 10.67/3.31 % (117824)Instruction limit reached!
% 10.67/3.31 % (117824)------------------------------
% 10.67/3.31 % (117824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.67/3.31 % (117824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.67/3.31 % (117824)CaDiCaL version: 2.1.3
% 10.67/3.31 % (117824)Termination reason: Instruction limit
% 10.67/3.31 % (117824)Termination phase: General splitting
% 10.67/3.31 % (117824)Time elapsed: 0.071 s
% 10.67/3.31 % (117824)Peak memory usage: 92 MB
% 10.67/3.31 % (117824)Instructions burned: 125 (million)
% 10.67/3.31 % (117825)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3586472957:i=134:gtgl=5:slsql=off:gtg=exists_sym_2975 on theBenchmark for (2975ds/134Mi)
% 10.67/3.31 % (117781)Refutation found. Thanks to Tanya!
% 10.67/3.31 % SZS status Theorem for theBenchmark
% 10.67/3.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/3.50 % (117781)------------------------------
% 0.17/3.50 % (117781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/3.50 % (117781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/3.50 % (117781)CaDiCaL version: 2.1.3
% 0.17/3.50 % (117781)Termination reason: Refutation
% 0.17/3.50 % (117781)Time elapsed: 2.057 s
% 0.17/3.50 % (117781)Peak memory usage: 191 MB
% 0.17/3.50 % (117781)Instructions burned: 3487 (million)
% 0.17/3.50 % (117781)------------------------------
% 0.17/3.50 % (117781)------------------------------
% 0.17/3.50 % (117775)Success in time 2.657 s
% 0.17/3.50 % Vampire exiting
%------------------------------------------------------------------------------