%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP620+4 : 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 : n016.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 10:15:01 AM UTC 2026
% Result : Theorem 29.72s 7.01s
% Output : Refutation 32.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 37
% Syntax : Number of formulae : 355 ( 37 unt; 21 def)
% Number of atoms : 2261 ( 169 equ)
% Maximal formula atoms : 38 ( 6 avg)
% Number of connectives : 3242 (1336 ~;1559 |; 258 &)
% ( 51 <=>; 38 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 42 ( 40 usr; 22 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 2 con; 0-2 aty)
% Number of variables : 328 ( 0 sgn 299 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f480,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) ) )
& ( v1_xboole_0(X0)
=> ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_subset_1) ).
fof(f940,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ! [X1] :
( X1 = k2_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_funct_1) ).
fof(f989,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ( v2_funct_1(X0)
=> ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( X1 = k2_funct_1(X0)
<=> ( k1_relat_1(X1) = k2_relat_1(X0)
& ! [X2,X3] :
( ( ( r2_hidden(X2,k2_relat_1(X0))
& X3 = k1_funct_1(X1,X2) )
=> ( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) ) )
& ( ( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) )
=> ( r2_hidden(X2,k2_relat_1(X0))
& X3 = k1_funct_1(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t54_funct_1) ).
fof(f1422,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1481,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1982,axiom,
! [X0,X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,X0,X0)
& m2_relset_1(X1,X0,X0) )
=> ( v2_funct_1(X1)
<=> ! [X2,X3] :
( ( r2_hidden(X2,X0)
& r2_hidden(X3,X0)
& k1_funct_1(X1,X2) = k1_funct_1(X1,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_funct_2) ).
fof(f3367,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f3371,axiom,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X1)
& m1_fraenkel(X2,X0,X1) )
=> ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f26981,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
& v1_group_6(X2,X1,X0)
& m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( ( v4_group_6(X2,X1,X0)
& X3 = k2_funct_1(X2) )
=> v4_group_6(X3,X0,X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t73_group_6) ).
fof(f33385,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f33394,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X2,X1)
<=> ( v2_funct_1(X2)
& v3_group_6(X2,X0,X0) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f33398,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X1,X0,X0)
& m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f33399,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ( k1_relat_1(X1) = k2_relat_1(X1)
& k1_relat_1(X1) = u1_struct_0(X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l9_autgroup) ).
fof(f33400,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> ( v1_funct_1(k2_funct_1(X1))
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_autgroup) ).
fof(f33401,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_autgroup) ).
fof(f33402,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
=> m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) ) ),
inference(negated_conjecture,[status(cth)],[f33401]) ).
fof(f33403,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
=> ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1)
=> ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) )
=> ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) ) ) ) ) ) ),
inference(rectify,[],[f33394]) ).
fof(f33424,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33385]) ).
fof(f33425,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33424]) ).
fof(f33442,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X3] :
( ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33403]) ).
fof(f33443,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_autgroup(X0)
<=> ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X3] :
( ( r2_hidden(X3,X1)
<=> ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33442]) ).
fof(f33448,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33398]) ).
fof(f33449,plain,
! [X0] :
( ! [X1] :
( ( r2_hidden(X1,k1_autgroup(X0))
<=> v4_group_6(X1,X0,X0) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33448]) ).
fof(f33450,plain,
! [X0] :
( ! [X1] :
( ( k1_relat_1(X1) = k2_relat_1(X1)
& k1_relat_1(X1) = u1_struct_0(X0) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33399]) ).
fof(f33451,plain,
! [X0] :
( ! [X1] :
( ( k1_relat_1(X1) = k2_relat_1(X1)
& k1_relat_1(X1) = u1_struct_0(X0) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33450]) ).
fof(f33452,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(k2_funct_1(X1))
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f33400]) ).
fof(f33453,plain,
! [X0] :
( ! [X1] :
( ( v1_funct_1(k2_funct_1(X1))
& v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(k2_funct_1(X1),X0,X0)
& m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33452]) ).
fof(f33454,plain,
? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f33402]) ).
fof(f33455,plain,
? [X0] :
( ? [X1] :
( ~ m2_fraenkel(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
& m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0)) )
& ~ v3_struct_0(X0)
& v1_group_1(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f33454]) ).
fof(f33458,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f3371]) ).
fof(f33459,plain,
! [X0,X1,X2] :
( ! [X3] :
( m2_fraenkel(X3,X0,X1,X2)
<=> m1_subset_1(X3,X2) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(flattening,[],[f33458]) ).
fof(f33464,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f3367]) ).
fof(f33472,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1481]) ).
fof(f33473,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1422]) ).
fof(f33560,plain,
! [X0,X1] :
( ( ( m1_subset_1(X1,X0)
<=> r2_hidden(X1,X0) )
| v1_xboole_0(X0) )
& ( ( m1_subset_1(X1,X0)
<=> v1_xboole_0(X1) )
| ~ v1_xboole_0(X0) ) ),
inference(ennf_transformation,[],[f480]) ).
fof(f33561,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f33586,plain,
! [X0,X1] :
( ( v2_funct_1(X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X3,X0)
| k1_funct_1(X1,X2) != k1_funct_1(X1,X3) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(ennf_transformation,[],[f1982]) ).
fof(f33587,plain,
! [X0,X1] :
( ( v2_funct_1(X1)
<=> ! [X2,X3] :
( X2 = X3
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X3,X0)
| k1_funct_1(X1,X2) != k1_funct_1(X1,X3) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(flattening,[],[f33586]) ).
fof(f33667,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v4_group_6(X3,X0,X1)
| ~ v4_group_6(X2,X1,X0)
| k2_funct_1(X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f26981]) ).
fof(f33668,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( v4_group_6(X3,X0,X1)
| ~ v4_group_6(X2,X1,X0)
| k2_funct_1(X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33667]) ).
fof(f33761,plain,
! [X0] :
( ! [X1] :
( X1 = k2_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) ) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f940]) ).
fof(f33762,plain,
! [X0] :
( ! [X1] :
( X1 = k2_relat_1(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ? [X3] :
( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) ) ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f33761]) ).
fof(f33828,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_funct_1(X0)
<=> ( k1_relat_1(X1) = k2_relat_1(X0)
& ! [X2,X3] :
( ( ( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) )
| ~ r2_hidden(X2,k2_relat_1(X0))
| k1_funct_1(X1,X2) != X3 )
& ( ( r2_hidden(X2,k2_relat_1(X0))
& X3 = k1_funct_1(X1,X2) )
| ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 ) ) ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f989]) ).
fof(f33829,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_funct_1(X0)
<=> ( k1_relat_1(X1) = k2_relat_1(X0)
& ! [X2,X3] :
( ( ( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) )
| ~ r2_hidden(X2,k2_relat_1(X0))
| k1_funct_1(X1,X2) != X3 )
& ( ( r2_hidden(X2,k2_relat_1(X0))
& X3 = k1_funct_1(X1,X2) )
| ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 ) ) ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f33828]) ).
fof(f33839,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ? [X3] :
( ( ~ v2_funct_1(X3)
| ~ v3_group_6(X3,X0,X0)
| ~ r2_hidden(X3,X1) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| r2_hidden(X3,X1) )
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ( ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ v2_funct_1(X3)
| ~ v3_group_6(X3,X0,X0) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| ~ r2_hidden(X3,X1) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f33443]) ).
fof(f33840,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ? [X3] :
( ( ~ v2_funct_1(X3)
| ~ v3_group_6(X3,X0,X0)
| ~ r2_hidden(X3,X1) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| r2_hidden(X3,X1) )
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ( ( ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X2,X0,X0)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X3] :
( ( ( r2_hidden(X3,X1)
| ~ v2_funct_1(X3)
| ~ v3_group_6(X3,X0,X0) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| ~ r2_hidden(X3,X1) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X3,X0,X0)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f33839]) ).
fof(f33841,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ? [X2] :
( ( ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X0)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(X2,u1_struct_0(X0),u1_struct_0(X0),X1) )
| ? [X3] :
( ( ~ v2_funct_1(X3)
| ~ v3_group_6(X3,X0,X0)
| ~ r2_hidden(X3,X1) )
& ( ( v2_funct_1(X3)
& v3_group_6(X3,X0,X0) )
| r2_hidden(X3,X1) )
& v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X3,X0,X0)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0)) ) )
& ( ( ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X4,X0,X0)
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X5] :
( ( ( r2_hidden(X5,X1)
| ~ v2_funct_1(X5)
| ~ v3_group_6(X5,X0,X0) )
& ( ( v2_funct_1(X5)
& v3_group_6(X5,X0,X0) )
| ~ r2_hidden(X5,X1) ) )
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X5,X0,X0)
| ~ m2_relset_1(X5,u1_struct_0(X0),u1_struct_0(X0)) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f33840]) ).
fof(f33842,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ( ( ~ v1_funct_1(sK6(X0,X1))
| ~ v1_funct_2(sK6(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK6(X0,X1),X0,X0)
| ~ m2_relset_1(sK6(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK6(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) )
| ( ( ~ v2_funct_1(sK7(X0,X1))
| ~ v3_group_6(sK7(X0,X1),X0,X0)
| ~ r2_hidden(sK7(X0,X1),X1) )
& ( ( v2_funct_1(sK7(X0,X1))
& v3_group_6(sK7(X0,X1),X0,X0) )
| r2_hidden(sK7(X0,X1),X1) )
& v1_funct_1(sK7(X0,X1))
& v1_funct_2(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(sK7(X0,X1),X0,X0)
& m2_relset_1(sK7(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) ) )
& ( ( ! [X4] :
( ( v1_funct_1(X4)
& v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X0))
& v1_group_6(X4,X0,X0)
& m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X0)) )
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),X1) )
& ! [X5] :
( ( ( r2_hidden(X5,X1)
| ~ v2_funct_1(X5)
| ~ v3_group_6(X5,X0,X0) )
& ( ( v2_funct_1(X5)
& v3_group_6(X5,X0,X0) )
| ~ r2_hidden(X5,X1) ) )
| ~ v1_funct_1(X5)
| ~ v1_funct_2(X5,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X5,X0,X0)
| ~ m2_relset_1(X5,u1_struct_0(X0),u1_struct_0(X0)) ) )
| k1_autgroup(X0) != X1 ) )
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X2,sK6(X0,X1)),skolemize(X3,sK7(X0,X1))],[f33841]) ).
fof(f33843,plain,
! [X0] :
( ! [X1] :
( ( ( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0) )
& ( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0)) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f33449]) ).
fof(f33844,plain,
( ~ m2_fraenkel(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
& m2_fraenkel(sK9,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
& ~ v3_struct_0(sK8)
& v1_group_1(sK8)
& v3_group_1(sK8)
& v4_group_1(sK8)
& l1_group_1(sK8) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8,sK9]),skolemize(X0,sK8),skolemize(X1,sK9)],[f33455]) ).
fof(f33845,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2) )
& ( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2) ) )
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(nnf_transformation,[],[f33459]) ).
fof(f33864,plain,
! [X0,X1] :
( ( ( ( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0) )
& ( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0) ) )
| v1_xboole_0(X0) )
& ( ( ( m1_subset_1(X1,X0)
| ~ v1_xboole_0(X1) )
& ( v1_xboole_0(X1)
| ~ m1_subset_1(X1,X0) ) )
| ~ v1_xboole_0(X0) ) ),
inference(nnf_transformation,[],[f33560]) ).
fof(f33885,plain,
! [X0,X1] :
( ( ( v2_funct_1(X1)
| ? [X2,X3] :
( X2 != X3
& r2_hidden(X2,X0)
& r2_hidden(X3,X0)
& k1_funct_1(X1,X2) = k1_funct_1(X1,X3) ) )
& ( ! [X2,X3] :
( X2 = X3
| ~ r2_hidden(X2,X0)
| ~ r2_hidden(X3,X0)
| k1_funct_1(X1,X2) != k1_funct_1(X1,X3) )
| ~ v2_funct_1(X1) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(nnf_transformation,[],[f33587]) ).
fof(f33886,plain,
! [X0,X1] :
( ( ( v2_funct_1(X1)
| ? [X2,X3] :
( X2 != X3
& r2_hidden(X2,X0)
& r2_hidden(X3,X0)
& k1_funct_1(X1,X2) = k1_funct_1(X1,X3) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X5,X0)
| k1_funct_1(X1,X4) != k1_funct_1(X1,X5) )
| ~ v2_funct_1(X1) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(rectify,[],[f33885]) ).
fof(f33887,plain,
! [X0,X1] :
( ( ( v2_funct_1(X1)
| ( sK48(X0,X1) != sK49(X0,X1)
& r2_hidden(sK48(X0,X1),X0)
& r2_hidden(sK49(X0,X1),X0)
& k1_funct_1(X1,sK48(X0,X1)) = k1_funct_1(X1,sK49(X0,X1)) ) )
& ( ! [X4,X5] :
( X4 = X5
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(X5,X0)
| k1_funct_1(X1,X4) != k1_funct_1(X1,X5) )
| ~ v2_funct_1(X1) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK48,sK49]),skolemize(X2,sK48(X0,X1)),skolemize(X3,sK49(X0,X1))],[f33886]) ).
fof(f33951,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_relat_1(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 )
| ~ r2_hidden(X2,X1) )
& ( ? [X3] :
( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 ) )
& ( ? [X3] :
( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) )
| ~ r2_hidden(X2,X1) ) )
| k2_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(nnf_transformation,[],[f33762]) ).
fof(f33952,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_relat_1(X0)
| ? [X2] :
( ( ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 )
| ~ r2_hidden(X2,X1) )
& ( ? [X4] :
( r2_hidden(X4,k1_relat_1(X0))
& k1_funct_1(X0,X4) = X2 )
| r2_hidden(X2,X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X6,k1_relat_1(X0))
| k1_funct_1(X0,X6) != X5 ) )
& ( ? [X7] :
( r2_hidden(X7,k1_relat_1(X0))
& k1_funct_1(X0,X7) = X5 )
| ~ r2_hidden(X5,X1) ) )
| k2_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(rectify,[],[f33951]) ).
fof(f33953,plain,
! [X0] :
( ! [X1] :
( ( X1 = k2_relat_1(X0)
| ( ( ! [X3] :
( ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != sK93(X0,X1) )
| ~ r2_hidden(sK93(X0,X1),X1) )
& ( ( r2_hidden(sK94(X0,X1),k1_relat_1(X0))
& sK93(X0,X1) = k1_funct_1(X0,sK94(X0,X1)) )
| r2_hidden(sK93(X0,X1),X1) ) ) )
& ( ! [X5] :
( ( r2_hidden(X5,X1)
| ! [X6] :
( ~ r2_hidden(X6,k1_relat_1(X0))
| k1_funct_1(X0,X6) != X5 ) )
& ( ( r2_hidden(sK95(X0,X5),k1_relat_1(X0))
& k1_funct_1(X0,sK95(X0,X5)) = X5 )
| ~ r2_hidden(X5,X1) ) )
| k2_relat_1(X0) != X1 ) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK93,sK94,sK95]),skolemize(X2,sK93(X0,X1)),skolemize(X4,sK94(X0,X1)),skolemize(X7,sK95(X0,X5))],[f33952]) ).
fof(f33965,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_funct_1(X0)
| k2_relat_1(X0) != k1_relat_1(X1)
| ? [X2,X3] :
( ( ( ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 )
& r2_hidden(X2,k2_relat_1(X0))
& k1_funct_1(X1,X2) = X3 )
| ( ( ~ r2_hidden(X2,k2_relat_1(X0))
| k1_funct_1(X1,X2) != X3 )
& r2_hidden(X3,k1_relat_1(X0))
& k1_funct_1(X0,X3) = X2 ) ) )
& ( ( k1_relat_1(X1) = k2_relat_1(X0)
& ! [X2,X3] :
( ( ( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) )
| ~ r2_hidden(X2,k2_relat_1(X0))
| k1_funct_1(X1,X2) != X3 )
& ( ( r2_hidden(X2,k2_relat_1(X0))
& X3 = k1_funct_1(X1,X2) )
| ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 ) ) )
| k2_funct_1(X0) != X1 ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(nnf_transformation,[],[f33829]) ).
fof(f33966,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_funct_1(X0)
| k2_relat_1(X0) != k1_relat_1(X1)
| ? [X2,X3] :
( ( ( ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 )
& r2_hidden(X2,k2_relat_1(X0))
& k1_funct_1(X1,X2) = X3 )
| ( ( ~ r2_hidden(X2,k2_relat_1(X0))
| k1_funct_1(X1,X2) != X3 )
& r2_hidden(X3,k1_relat_1(X0))
& k1_funct_1(X0,X3) = X2 ) ) )
& ( ( k1_relat_1(X1) = k2_relat_1(X0)
& ! [X2,X3] :
( ( ( r2_hidden(X3,k1_relat_1(X0))
& X2 = k1_funct_1(X0,X3) )
| ~ r2_hidden(X2,k2_relat_1(X0))
| k1_funct_1(X1,X2) != X3 )
& ( ( r2_hidden(X2,k2_relat_1(X0))
& X3 = k1_funct_1(X1,X2) )
| ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 ) ) )
| k2_funct_1(X0) != X1 ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f33965]) ).
fof(f33967,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_funct_1(X0)
| k2_relat_1(X0) != k1_relat_1(X1)
| ? [X2,X3] :
( ( ( ~ r2_hidden(X3,k1_relat_1(X0))
| k1_funct_1(X0,X3) != X2 )
& r2_hidden(X2,k2_relat_1(X0))
& k1_funct_1(X1,X2) = X3 )
| ( ( ~ r2_hidden(X2,k2_relat_1(X0))
| k1_funct_1(X1,X2) != X3 )
& r2_hidden(X3,k1_relat_1(X0))
& k1_funct_1(X0,X3) = X2 ) ) )
& ( ( k1_relat_1(X1) = k2_relat_1(X0)
& ! [X4,X5] :
( ( ( r2_hidden(X5,k1_relat_1(X0))
& k1_funct_1(X0,X5) = X4 )
| ~ r2_hidden(X4,k2_relat_1(X0))
| k1_funct_1(X1,X4) != X5 )
& ( ( r2_hidden(X4,k2_relat_1(X0))
& k1_funct_1(X1,X4) = X5 )
| ~ r2_hidden(X5,k1_relat_1(X0))
| k1_funct_1(X0,X5) != X4 ) ) )
| k2_funct_1(X0) != X1 ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(rectify,[],[f33966]) ).
fof(f33968,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k2_funct_1(X0)
| k2_relat_1(X0) != k1_relat_1(X1)
| ( ( ~ r2_hidden(sK105(X0,X1),k1_relat_1(X0))
| sK104(X0,X1) != k1_funct_1(X0,sK105(X0,X1)) )
& r2_hidden(sK104(X0,X1),k2_relat_1(X0))
& sK105(X0,X1) = k1_funct_1(X1,sK104(X0,X1)) )
| ( ( ~ r2_hidden(sK104(X0,X1),k2_relat_1(X0))
| sK105(X0,X1) != k1_funct_1(X1,sK104(X0,X1)) )
& r2_hidden(sK105(X0,X1),k1_relat_1(X0))
& sK104(X0,X1) = k1_funct_1(X0,sK105(X0,X1)) ) )
& ( ( k1_relat_1(X1) = k2_relat_1(X0)
& ! [X4,X5] :
( ( ( r2_hidden(X5,k1_relat_1(X0))
& k1_funct_1(X0,X5) = X4 )
| ~ r2_hidden(X4,k2_relat_1(X0))
| k1_funct_1(X1,X4) != X5 )
& ( ( r2_hidden(X4,k2_relat_1(X0))
& k1_funct_1(X1,X4) = X5 )
| ~ r2_hidden(X5,k1_relat_1(X0))
| k1_funct_1(X0,X5) != X4 ) ) )
| k2_funct_1(X0) != X1 ) )
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) )
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK104,sK105]),skolemize(X2,sK104(X0,X1)),skolemize(X3,sK105(X0,X1))],[f33967]) ).
fof(f33969,plain,
! [X0] :
( m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33425]) ).
fof(f33996,plain,
! [X0,X1,X4] :
( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33842]) ).
fof(f33997,plain,
! [X0,X1,X4] :
( v1_group_6(X4,X0,X0)
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33842]) ).
fof(f33998,plain,
! [X0,X1,X4] :
( v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33842]) ).
fof(f33999,plain,
! [X0,X1,X4] :
( v1_funct_1(X4)
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),X1)
| k1_autgroup(X0) != X1
| ~ m1_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33842]) ).
fof(f34016,plain,
! [X0,X1] :
( v4_group_6(X1,X0,X0)
| ~ r2_hidden(X1,k1_autgroup(X0))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33843]) ).
fof(f34017,plain,
! [X0,X1] :
( r2_hidden(X1,k1_autgroup(X0))
| ~ v4_group_6(X1,X0,X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(X1,X0,X0)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33843]) ).
fof(f34018,plain,
! [X0,X1] :
( k1_relat_1(X1) = u1_struct_0(X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33451]) ).
fof(f34019,plain,
! [X0,X1] :
( k1_relat_1(X1) = k2_relat_1(X1)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33451]) ).
fof(f34020,plain,
! [X0,X1] :
( m2_relset_1(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33453]) ).
fof(f34021,plain,
! [X0,X1] :
( v1_group_6(k2_funct_1(X1),X0,X0)
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33453]) ).
fof(f34022,plain,
! [X0,X1] :
( v1_funct_2(k2_funct_1(X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33453]) ).
fof(f34023,plain,
! [X0,X1] :
( v1_funct_1(k2_funct_1(X1))
| ~ m2_fraenkel(X1,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33453]) ).
fof(f34024,plain,
l1_group_1(sK8),
inference(cnf_transformation,[],[f33844]) ).
fof(f34025,plain,
v4_group_1(sK8),
inference(cnf_transformation,[],[f33844]) ).
fof(f34026,plain,
v3_group_1(sK8),
inference(cnf_transformation,[],[f33844]) ).
fof(f34027,plain,
v1_group_1(sK8),
inference(cnf_transformation,[],[f33844]) ).
fof(f34028,plain,
~ v3_struct_0(sK8),
inference(cnf_transformation,[],[f33844]) ).
fof(f34029,plain,
m2_fraenkel(sK9,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8)),
inference(cnf_transformation,[],[f33844]) ).
fof(f34030,plain,
~ m2_fraenkel(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8)),
inference(cnf_transformation,[],[f33844]) ).
fof(f34033,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(X3,X2)
| ~ m2_fraenkel(X3,X0,X1,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f33845]) ).
fof(f34034,plain,
! [X2,X3,X0,X1] :
( m2_fraenkel(X3,X0,X1,X2)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f33845]) ).
fof(f34041,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f33464]) ).
fof(f34057,plain,
! [X2,X0,X1] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f33472]) ).
fof(f34058,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f33473]) ).
fof(f34156,plain,
! [X0,X1] :
( r2_hidden(X1,X0)
| ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f33864]) ).
fof(f34157,plain,
! [X0,X1] :
( m1_subset_1(X1,X0)
| ~ r2_hidden(X1,X0)
| v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f33864]) ).
fof(f34158,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f33561]) ).
fof(f34241,plain,
! [X0,X1] :
( v2_funct_1(X1)
| r2_hidden(sK48(X0,X1),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,X0,X0)
| ~ m2_relset_1(X1,X0,X0) ),
inference(cnf_transformation,[],[f33887]) ).
fof(f34358,plain,
! [X2,X3,X0,X1] :
( v4_group_6(X3,X0,X1)
| ~ v4_group_6(X2,X1,X0)
| k2_funct_1(X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f33668]) ).
fof(f34519,plain,
! [X0,X1,X5] :
( r2_hidden(sK95(X0,X5),k1_relat_1(X0))
| ~ r2_hidden(X5,X1)
| k2_relat_1(X0) != X1
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f33953]) ).
fof(f34605,plain,
! [X0,X1] :
( k2_funct_1(X0) = X1
| k2_relat_1(X0) != k1_relat_1(X1)
| r2_hidden(sK104(X0,X1),k2_relat_1(X0))
| r2_hidden(sK105(X0,X1),k1_relat_1(X0))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1)
| ~ v2_funct_1(X0)
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f33968]) ).
fof(f34616,plain,
! [X0,X4] :
( v1_funct_1(X4)
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f33999]) ).
fof(f34617,plain,
! [X0,X4] :
( v1_funct_2(X4,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f33998]) ).
fof(f34618,plain,
! [X0,X4] :
( v1_group_6(X4,X0,X0)
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f33997]) ).
fof(f34619,plain,
! [X0,X4] :
( m2_relset_1(X4,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X4,u1_struct_0(X0),u1_struct_0(X0),k1_autgroup(X0))
| ~ m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f33996]) ).
fof(f34644,plain,
! [X2,X0,X1] :
( v4_group_6(k2_funct_1(X2),X0,X1)
| ~ v4_group_6(X2,X1,X0)
| ~ v1_funct_1(k2_funct_1(X2))
| ~ v1_funct_2(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(k2_funct_1(X2),X0,X1)
| ~ m2_relset_1(k2_funct_1(X2),u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X1),u1_struct_0(X0))
| ~ v1_group_6(X2,X1,X0)
| ~ m2_relset_1(X2,u1_struct_0(X1),u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f34358]) ).
fof(f34664,plain,
! [X0,X5] :
( r2_hidden(sK95(X0,X5),k1_relat_1(X0))
| ~ r2_hidden(X5,k2_relat_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(equality_resolution,[],[f34519]) ).
fof(f34767,definition,
( spl138_1
<=> m2_fraenkel(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8)) ),
introduced(definition,[new_symbols(definition,[spl138_1])],[avatar_definition]) ).
fof(f34769,plain,
( ~ m2_fraenkel(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| spl138_1 ),
inference(avatar_component_clause,[],[f34767]) ).
fof(f34770,plain,
~ spl138_1,
inference(avatar_split_clause,[],[f34030,f34767]) ).
fof(f34771,plain,
( ~ m1_subset_1(k2_funct_1(sK9),k1_autgroup(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| spl138_1 ),
inference(resolution,[],[f34769,f34034]) ).
fof(f34785,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| k1_relat_1(X0) != k2_relat_1(sK9)
| r2_hidden(sK104(sK9,X0),k2_relat_1(sK9))
| r2_hidden(sK105(sK9,X0),k1_relat_1(sK9))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(sK9)
| ~ v1_relat_1(sK9)
| ~ v1_funct_1(sK9) )
| spl138_1 ),
inference(superposition,[],[f34769,f34605]) ).
fof(f34880,definition,
( spl138_2
<=> v3_struct_0(sK8) ),
introduced(definition,[new_symbols(definition,[spl138_2])],[avatar_definition]) ).
fof(f34882,plain,
( ~ v3_struct_0(sK8)
| spl138_2 ),
inference(avatar_component_clause,[],[f34880]) ).
fof(f34883,plain,
~ spl138_2,
inference(avatar_split_clause,[],[f34028,f34880]) ).
fof(f34885,definition,
( spl138_3
<=> m2_fraenkel(sK9,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8)) ),
introduced(definition,[new_symbols(definition,[spl138_3])],[avatar_definition]) ).
fof(f34887,plain,
( m2_fraenkel(sK9,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ spl138_3 ),
inference(avatar_component_clause,[],[f34885]) ).
fof(f34888,plain,
spl138_3,
inference(avatar_split_clause,[],[f34029,f34885]) ).
fof(f34889,plain,
( u1_struct_0(sK8) = k1_relat_1(sK9)
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34018]) ).
fof(f34890,plain,
( k2_relat_1(sK9) = k1_relat_1(sK9)
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34019]) ).
fof(f34891,plain,
( m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34020]) ).
fof(f34892,plain,
( v1_group_6(k2_funct_1(sK9),sK8,sK8)
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34021]) ).
fof(f34893,plain,
( v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34022]) ).
fof(f34894,plain,
( v1_funct_1(k2_funct_1(sK9))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34023]) ).
fof(f34895,plain,
( v1_funct_1(sK9)
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34616]) ).
fof(f34896,plain,
( v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34617]) ).
fof(f34897,plain,
( v1_group_6(sK9,sK8,sK8)
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34618]) ).
fof(f34898,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34619]) ).
fof(f34902,plain,
( m1_subset_1(sK9,k1_autgroup(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl138_3 ),
inference(resolution,[],[f34887,f34033]) ).
fof(f34931,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34898,f33969]) ).
fof(f34932,plain,
( v1_group_6(sK9,sK8,sK8)
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34897,f33969]) ).
fof(f34933,plain,
( v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34896,f33969]) ).
fof(f34934,plain,
( v1_funct_1(sK9)
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34895,f33969]) ).
fof(f34935,plain,
( v1_funct_1(k2_funct_1(sK9))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34894,f34882]) ).
fof(f34936,plain,
( v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34893,f34882]) ).
fof(f34937,plain,
( v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34892,f34882]) ).
fof(f34938,plain,
( m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34891,f34882]) ).
fof(f34939,plain,
( k2_relat_1(sK9) = k1_relat_1(sK9)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34890,f34882]) ).
fof(f34940,plain,
( u1_struct_0(sK8) = k1_relat_1(sK9)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34889,f34882]) ).
fof(f34955,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34931,f34882]) ).
fof(f34956,plain,
( v1_group_6(sK9,sK8,sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34932,f34882]) ).
fof(f34957,plain,
( v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34933,f34882]) ).
fof(f34958,plain,
( v1_funct_1(sK9)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34934,f34882]) ).
fof(f34959,plain,
( v1_funct_1(k2_funct_1(sK9))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34935,f34027]) ).
fof(f34960,plain,
( v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34936,f34027]) ).
fof(f34961,plain,
( v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34937,f34027]) ).
fof(f34962,plain,
( m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34938,f34027]) ).
fof(f34963,plain,
( k2_relat_1(sK9) = k1_relat_1(sK9)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34939,f34027]) ).
fof(f34964,plain,
( u1_struct_0(sK8) = k1_relat_1(sK9)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34940,f34027]) ).
fof(f34979,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34955,f34027]) ).
fof(f34980,plain,
( v1_group_6(sK9,sK8,sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34956,f34027]) ).
fof(f34981,plain,
( v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34957,f34027]) ).
fof(f34982,plain,
( v1_funct_1(sK9)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34958,f34027]) ).
fof(f34983,plain,
( v1_funct_1(k2_funct_1(sK9))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34959,f34026]) ).
fof(f34984,plain,
( v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34960,f34026]) ).
fof(f34985,plain,
( v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34961,f34026]) ).
fof(f34986,plain,
( m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34962,f34026]) ).
fof(f34987,plain,
( k2_relat_1(sK9) = k1_relat_1(sK9)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34963,f34026]) ).
fof(f34988,plain,
( u1_struct_0(sK8) = k1_relat_1(sK9)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34964,f34026]) ).
fof(f35003,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34979,f34026]) ).
fof(f35004,plain,
( v1_group_6(sK9,sK8,sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34980,f34026]) ).
fof(f35005,plain,
( v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34981,f34026]) ).
fof(f35006,plain,
( v1_funct_1(sK9)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34982,f34026]) ).
fof(f35007,plain,
( v1_funct_1(k2_funct_1(sK9))
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34983,f34025]) ).
fof(f35008,plain,
( v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34984,f34025]) ).
fof(f35009,plain,
( v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34985,f34025]) ).
fof(f35010,plain,
( m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34986,f34025]) ).
fof(f35011,plain,
( k2_relat_1(sK9) = k1_relat_1(sK9)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34987,f34025]) ).
fof(f35012,plain,
( u1_struct_0(sK8) = k1_relat_1(sK9)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f34988,f34025]) ).
fof(f35027,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35003,f34025]) ).
fof(f35028,plain,
( v1_group_6(sK9,sK8,sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35004,f34025]) ).
fof(f35029,plain,
( v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35005,f34025]) ).
fof(f35030,plain,
( v1_funct_1(sK9)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35006,f34025]) ).
fof(f35031,plain,
( v1_funct_1(k2_funct_1(sK9))
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35007,f34024]) ).
fof(f35032,plain,
( v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35008,f34024]) ).
fof(f35033,plain,
( v1_group_6(k2_funct_1(sK9),sK8,sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35009,f34024]) ).
fof(f35034,plain,
( m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35010,f34024]) ).
fof(f35035,plain,
( k2_relat_1(sK9) = k1_relat_1(sK9)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35011,f34024]) ).
fof(f35036,plain,
( u1_struct_0(sK8) = k1_relat_1(sK9)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35012,f34024]) ).
fof(f35037,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35027,f34024]) ).
fof(f35038,plain,
( v1_group_6(sK9,sK8,sK8)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35028,f34024]) ).
fof(f35039,plain,
( v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35029,f34024]) ).
fof(f35040,plain,
( v1_funct_1(sK9)
| spl138_2
| ~ spl138_3 ),
inference(forward_subsumption_resolution,[],[f35030,f34024]) ).
fof(f35054,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| k1_relat_1(X0) != k2_relat_1(sK9)
| r2_hidden(sK104(sK9,X0),k2_relat_1(sK9))
| r2_hidden(sK105(sK9,X0),k1_relat_1(sK9))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(sK9)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3 ),
inference(backward_subsumption_resolution,[],[f34785,f35040]) ).
fof(f35069,plain,
( ! [X0] :
( r2_hidden(sK105(sK9,X0),k2_relat_1(sK9))
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| k1_relat_1(X0) != k2_relat_1(sK9)
| r2_hidden(sK104(sK9,X0),k2_relat_1(sK9))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0)
| ~ v2_funct_1(sK9)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3 ),
inference(forward_demodulation,[],[f35054,f35035]) ).
fof(f35074,plain,
( m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2 ),
inference(resolution,[],[f34882,f33969]) ).
fof(f35116,plain,
( ! [X0] :
( k1_relat_1(X0) = u1_struct_0(sK8)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8) )
| spl138_2 ),
inference(resolution,[],[f34882,f34018]) ).
fof(f35242,plain,
( ! [X0] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8) )
| spl138_2 ),
inference(resolution,[],[f34882,f34616]) ).
fof(f35265,plain,
( ! [X0] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8) )
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35242,f34027]) ).
fof(f35390,plain,
( ! [X0] :
( k1_relat_1(X0) = u1_struct_0(sK8)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8) )
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35116,f34027]) ).
fof(f35432,plain,
( m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35074,f34027]) ).
fof(f35444,plain,
( ! [X0] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8) )
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35265,f34026]) ).
fof(f35561,plain,
( ! [X0] :
( k1_relat_1(X0) = u1_struct_0(sK8)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8) )
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35390,f34026]) ).
fof(f35603,plain,
( m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35432,f34026]) ).
fof(f35615,plain,
( ! [X0] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ l1_group_1(sK8) )
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35444,f34025]) ).
fof(f35725,plain,
( ! [X0] :
( k1_relat_1(X0) = u1_struct_0(sK8)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ l1_group_1(sK8) )
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35561,f34025]) ).
fof(f35767,plain,
( m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ l1_group_1(sK8)
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35603,f34025]) ).
fof(f35774,plain,
( ! [X0] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8)) )
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35615,f34024]) ).
fof(f35792,plain,
( ! [X0] :
( k1_relat_1(X0) = u1_struct_0(sK8)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8)) )
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35725,f34024]) ).
fof(f35834,plain,
( m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| spl138_2 ),
inference(forward_subsumption_resolution,[],[f35767,f34024]) ).
fof(f35840,plain,
( ~ m1_subset_1(k2_funct_1(sK9),k1_autgroup(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| spl138_1
| spl138_2 ),
inference(backward_subsumption_resolution,[],[f34771,f35834]) ).
fof(f35844,plain,
( m1_subset_1(sK9,k1_autgroup(sK8))
| v1_xboole_0(u1_struct_0(sK8))
| spl138_2
| ~ spl138_3 ),
inference(backward_subsumption_resolution,[],[f34902,f35834]) ).
fof(f35851,plain,
( ! [X0] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8)) )
| spl138_2 ),
inference(backward_subsumption_resolution,[],[f35774,f35834]) ).
fof(f35861,definition,
( spl138_4
<=> l1_group_1(sK8) ),
introduced(definition,[new_symbols(definition,[spl138_4])],[avatar_definition]) ).
fof(f35863,plain,
( l1_group_1(sK8)
| ~ spl138_4 ),
inference(avatar_component_clause,[],[f35861]) ).
fof(f35864,plain,
spl138_4,
inference(avatar_split_clause,[],[f34024,f35861]) ).
fof(f35866,definition,
( spl138_5
<=> v1_group_1(sK8) ),
introduced(definition,[new_symbols(definition,[spl138_5])],[avatar_definition]) ).
fof(f35868,plain,
( v1_group_1(sK8)
| ~ spl138_5 ),
inference(avatar_component_clause,[],[f35866]) ).
fof(f35869,plain,
spl138_5,
inference(avatar_split_clause,[],[f34027,f35866]) ).
fof(f36119,definition,
( spl138_6
<=> v4_group_1(sK8) ),
introduced(definition,[new_symbols(definition,[spl138_6])],[avatar_definition]) ).
fof(f36121,plain,
( v4_group_1(sK8)
| ~ spl138_6 ),
inference(avatar_component_clause,[],[f36119]) ).
fof(f36122,plain,
spl138_6,
inference(avatar_split_clause,[],[f34025,f36119]) ).
fof(f36124,definition,
( spl138_7
<=> v3_group_1(sK8) ),
introduced(definition,[new_symbols(definition,[spl138_7])],[avatar_definition]) ).
fof(f36126,plain,
( v3_group_1(sK8)
| ~ spl138_7 ),
inference(avatar_component_clause,[],[f36124]) ).
fof(f36127,plain,
spl138_7,
inference(avatar_split_clause,[],[f34026,f36124]) ).
fof(f36468,definition,
( spl138_8
<=> v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8)) ),
introduced(definition,[new_symbols(definition,[spl138_8])],[avatar_definition]) ).
fof(f36470,plain,
( v1_funct_2(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl138_8 ),
inference(avatar_component_clause,[],[f36468]) ).
fof(f36471,plain,
( spl138_8
| spl138_2
| ~ spl138_3 ),
inference(avatar_split_clause,[],[f35039,f34885,f34880,f36468]) ).
fof(f36472,plain,
( v4_group_6(sK9,sK8,sK8)
| ~ r2_hidden(sK9,k1_autgroup(sK8))
| ~ v1_funct_1(sK9)
| ~ v1_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_8 ),
inference(resolution,[],[f36470,f34016]) ).
fof(f36506,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ v1_funct_1(k2_funct_1(sK9))
| ~ v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ v1_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_8 ),
inference(resolution,[],[f36470,f34644]) ).
fof(f36510,plain,
( v2_funct_1(sK9)
| r2_hidden(sK48(u1_struct_0(sK8),sK9),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl138_8 ),
inference(resolution,[],[f36470,f34241]) ).
fof(f36537,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ v1_funct_1(k2_funct_1(sK9))
| ~ v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ v1_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_8 ),
inference(duplicate_literal_removal,[],[f36506]) ).
fof(f36587,plain,
( v2_funct_1(sK9)
| r2_hidden(sK48(u1_struct_0(sK8),sK9),u1_struct_0(sK8))
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36510,f35040]) ).
fof(f36591,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ v1_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36537,f35031]) ).
fof(f36618,plain,
( v4_group_6(sK9,sK8,sK8)
| ~ r2_hidden(sK9,k1_autgroup(sK8))
| ~ v1_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36472,f35040]) ).
fof(f36638,plain,
( v2_funct_1(sK9)
| r2_hidden(sK48(u1_struct_0(sK8),sK9),u1_struct_0(sK8))
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36587,f35037]) ).
fof(f36642,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ v1_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36591,f35032]) ).
fof(f36669,plain,
( v4_group_6(sK9,sK8,sK8)
| ~ r2_hidden(sK9,k1_autgroup(sK8))
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36618,f35038]) ).
fof(f36670,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ v1_funct_1(sK9)
| ~ v1_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36642,f35033]) ).
fof(f36697,plain,
( v4_group_6(sK9,sK8,sK8)
| ~ r2_hidden(sK9,k1_autgroup(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36669,f35037]) ).
fof(f36698,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ v1_funct_1(sK9)
| ~ v1_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36670,f35034]) ).
fof(f36725,plain,
( v4_group_6(sK9,sK8,sK8)
| ~ r2_hidden(sK9,k1_autgroup(sK8))
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36697,f34882]) ).
fof(f36726,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ v1_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36698,f35040]) ).
fof(f36753,plain,
( v4_group_6(sK9,sK8,sK8)
| ~ r2_hidden(sK9,k1_autgroup(sK8))
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_5
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36725,f35868]) ).
fof(f36754,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36726,f35038]) ).
fof(f36780,plain,
( v4_group_6(sK9,sK8,sK8)
| ~ r2_hidden(sK9,k1_autgroup(sK8))
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_5
| ~ spl138_7
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36753,f36126]) ).
fof(f36781,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| v3_struct_0(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36754,f35037]) ).
fof(f36807,plain,
( v4_group_6(sK9,sK8,sK8)
| ~ r2_hidden(sK9,k1_autgroup(sK8))
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36780,f36121]) ).
fof(f36808,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36781,f34882]) ).
fof(f36817,plain,
( v4_group_6(sK9,sK8,sK8)
| ~ r2_hidden(sK9,k1_autgroup(sK8))
| spl138_2
| ~ spl138_3
| ~ spl138_4
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36807,f35863]) ).
fof(f36818,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_7
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36808,f36126]) ).
fof(f36822,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36818,f36121]) ).
fof(f36823,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_6(sK9,sK8,sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_4
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8 ),
inference(forward_subsumption_resolution,[],[f36822,f35863]) ).
fof(f36825,definition,
( spl138_9
<=> m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8)) ),
introduced(definition,[new_symbols(definition,[spl138_9])],[avatar_definition]) ).
fof(f36827,plain,
( m2_relset_1(sK9,u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl138_9 ),
inference(avatar_component_clause,[],[f36825]) ).
fof(f36828,plain,
( spl138_9
| spl138_2
| ~ spl138_3 ),
inference(avatar_split_clause,[],[f35037,f34885,f34880,f36825]) ).
fof(f36871,plain,
( m1_subset_1(sK9,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8))))
| ~ spl138_9 ),
inference(resolution,[],[f36827,f34057]) ).
fof(f37027,definition,
( spl138_10
<=> v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8)) ),
introduced(definition,[new_symbols(definition,[spl138_10])],[avatar_definition]) ).
fof(f37029,plain,
( v1_funct_2(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl138_10 ),
inference(avatar_component_clause,[],[f37027]) ).
fof(f37030,plain,
( spl138_10
| spl138_2
| ~ spl138_3 ),
inference(avatar_split_clause,[],[f35032,f34885,f34880,f37027]) ).
fof(f37033,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| ~ v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v1_funct_1(k2_funct_1(sK9))
| ~ v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| ~ spl138_10 ),
inference(resolution,[],[f37029,f34017]) ).
fof(f37228,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| ~ v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v1_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f37033,f35031]) ).
fof(f37292,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| ~ v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ m2_relset_1(k2_funct_1(sK9),u1_struct_0(sK8),u1_struct_0(sK8))
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f37228,f35033]) ).
fof(f37325,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| ~ v4_group_6(k2_funct_1(sK9),sK8,sK8)
| v3_struct_0(sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f37292,f35034]) ).
fof(f37357,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| ~ v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v1_group_1(sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f37325,f34882]) ).
fof(f37389,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| ~ v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v3_group_1(sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_5
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f37357,f35868]) ).
fof(f37420,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| ~ v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ v4_group_1(sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_5
| ~ spl138_7
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f37389,f36126]) ).
fof(f37451,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| ~ v4_group_6(k2_funct_1(sK9),sK8,sK8)
| ~ l1_group_1(sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f37420,f36121]) ).
fof(f37464,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| ~ v4_group_6(k2_funct_1(sK9),sK8,sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_4
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_10 ),
inference(forward_subsumption_resolution,[],[f37451,f35863]) ).
fof(f37470,definition,
( spl138_11
<=> u1_struct_0(sK8) = k1_relat_1(sK9) ),
introduced(definition,[new_symbols(definition,[spl138_11])],[avatar_definition]) ).
fof(f37472,plain,
( u1_struct_0(sK8) = k1_relat_1(sK9)
| ~ spl138_11 ),
inference(avatar_component_clause,[],[f37470]) ).
fof(f37473,plain,
( spl138_11
| spl138_2
| ~ spl138_3 ),
inference(avatar_split_clause,[],[f35036,f34885,f34880,f37470]) ).
fof(f37582,plain,
( ! [X0] :
( r2_hidden(sK95(sK9,X0),u1_struct_0(sK8))
| ~ r2_hidden(X0,k2_relat_1(sK9))
| ~ v1_relat_1(sK9)
| ~ v1_funct_1(sK9) )
| ~ spl138_11 ),
inference(superposition,[],[f34664,f37472]) ).
fof(f37598,plain,
( ! [X0] :
( r2_hidden(sK95(sK9,X0),u1_struct_0(sK8))
| ~ r2_hidden(X0,k2_relat_1(sK9))
| ~ v1_relat_1(sK9) )
| spl138_2
| ~ spl138_3
| ~ spl138_11 ),
inference(forward_subsumption_resolution,[],[f37582,f35040]) ).
fof(f38597,definition,
( spl138_17
<=> v1_xboole_0(u1_struct_0(sK8)) ),
introduced(definition,[new_symbols(definition,[spl138_17])],[avatar_definition]) ).
fof(f38598,plain,
( ~ v1_xboole_0(u1_struct_0(sK8))
| spl138_17 ),
inference(avatar_component_clause,[],[f38597]) ).
fof(f38599,plain,
( v1_xboole_0(u1_struct_0(sK8))
| ~ spl138_17 ),
inference(avatar_component_clause,[],[f38597]) ).
fof(f38601,definition,
( spl138_18
<=> m1_subset_1(sK9,k1_autgroup(sK8)) ),
introduced(definition,[new_symbols(definition,[spl138_18])],[avatar_definition]) ).
fof(f38603,plain,
( m1_subset_1(sK9,k1_autgroup(sK8))
| ~ spl138_18 ),
inference(avatar_component_clause,[],[f38601]) ).
fof(f38604,plain,
( spl138_17
| spl138_18
| spl138_2
| ~ spl138_3 ),
inference(avatar_split_clause,[],[f35844,f34885,f34880,f38601,f38597]) ).
fof(f38660,plain,
( r2_hidden(sK9,k1_autgroup(sK8))
| v1_xboole_0(k1_autgroup(sK8))
| ~ spl138_18 ),
inference(resolution,[],[f38603,f34156]) ).
fof(f39074,definition,
( spl138_21
<=> k2_relat_1(sK9) = k1_relat_1(sK9) ),
introduced(definition,[new_symbols(definition,[spl138_21])],[avatar_definition]) ).
fof(f39076,plain,
( k2_relat_1(sK9) = k1_relat_1(sK9)
| ~ spl138_21 ),
inference(avatar_component_clause,[],[f39074]) ).
fof(f39077,plain,
( spl138_21
| spl138_2
| ~ spl138_3 ),
inference(avatar_split_clause,[],[f35035,f34885,f34880,f39074]) ).
fof(f39078,plain,
( u1_struct_0(sK8) = k2_relat_1(sK9)
| ~ spl138_11
| ~ spl138_21 ),
inference(forward_demodulation,[],[f39076,f37472]) ).
fof(f39080,definition,
( spl138_22
<=> u1_struct_0(sK8) = k2_relat_1(sK9) ),
introduced(definition,[new_symbols(definition,[spl138_22])],[avatar_definition]) ).
fof(f39082,plain,
( u1_struct_0(sK8) = k2_relat_1(sK9)
| ~ spl138_22 ),
inference(avatar_component_clause,[],[f39080]) ).
fof(f39083,plain,
( spl138_22
| ~ spl138_11
| ~ spl138_21 ),
inference(avatar_split_clause,[],[f39078,f39074,f37470,f39080]) ).
fof(f39414,definition,
( spl138_23
<=> ! [X0] :
( v1_funct_1(X0)
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8)) ) ),
introduced(definition,[new_symbols(definition,[spl138_23])],[avatar_definition]) ).
fof(f39415,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| v1_funct_1(X0) )
| ~ spl138_23 ),
inference(avatar_component_clause,[],[f39414]) ).
fof(f39416,plain,
( spl138_23
| spl138_2 ),
inference(avatar_split_clause,[],[f35851,f34880,f39414]) ).
fof(f39515,definition,
( spl138_24
<=> m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8)) ),
introduced(definition,[new_symbols(definition,[spl138_24])],[avatar_definition]) ).
fof(f39517,plain,
( m1_fraenkel(k1_autgroup(sK8),u1_struct_0(sK8),u1_struct_0(sK8))
| ~ spl138_24 ),
inference(avatar_component_clause,[],[f39515]) ).
fof(f39518,plain,
( spl138_24
| spl138_2 ),
inference(avatar_split_clause,[],[f35834,f34880,f39515]) ).
fof(f39547,plain,
( ~ v1_xboole_0(k1_autgroup(sK8))
| ~ spl138_24 ),
inference(resolution,[],[f39517,f34041]) ).
fof(f39590,plain,
( r2_hidden(sK9,k1_autgroup(sK8))
| ~ spl138_18
| ~ spl138_24 ),
inference(backward_subsumption_resolution,[],[f38660,f39547]) ).
fof(f39600,plain,
( v4_group_6(sK9,sK8,sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_4
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8
| ~ spl138_18
| ~ spl138_24 ),
inference(backward_subsumption_resolution,[],[f36817,f39590]) ).
fof(f39613,plain,
( v4_group_6(k2_funct_1(sK9),sK8,sK8)
| spl138_2
| ~ spl138_3
| ~ spl138_4
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8
| ~ spl138_18
| ~ spl138_24 ),
inference(backward_subsumption_resolution,[],[f36823,f39600]) ).
fof(f39839,plain,
( r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| spl138_2
| ~ spl138_3
| ~ spl138_4
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8
| ~ spl138_10
| ~ spl138_18
| ~ spl138_24 ),
inference(backward_subsumption_resolution,[],[f37464,f39613]) ).
fof(f40485,plain,
( ! [X0] :
( r2_hidden(sK105(sK9,X0),k2_relat_1(sK9))
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| k1_relat_1(X0) != k2_relat_1(sK9)
| r2_hidden(sK104(sK9,X0),k2_relat_1(sK9))
| ~ v1_relat_1(X0)
| ~ v2_funct_1(sK9)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_23 ),
inference(forward_subsumption_resolution,[],[f35069,f39415]) ).
fof(f40598,plain,
( ! [X0] :
( r2_hidden(sK105(sK9,X0),u1_struct_0(sK8))
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| k1_relat_1(X0) != k2_relat_1(sK9)
| r2_hidden(sK104(sK9,X0),k2_relat_1(sK9))
| ~ v1_relat_1(X0)
| ~ v2_funct_1(sK9)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_22
| ~ spl138_23 ),
inference(forward_demodulation,[],[f40485,f39082]) ).
fof(f40661,plain,
( ! [X0] :
( k1_relat_1(X0) != u1_struct_0(sK8)
| r2_hidden(sK105(sK9,X0),u1_struct_0(sK8))
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| r2_hidden(sK104(sK9,X0),k2_relat_1(sK9))
| ~ v1_relat_1(X0)
| ~ v2_funct_1(sK9)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_22
| ~ spl138_23 ),
inference(forward_demodulation,[],[f40598,f39082]) ).
fof(f40702,plain,
( ! [X0] :
( r2_hidden(sK105(sK9,X0),u1_struct_0(sK8))
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| r2_hidden(sK104(sK9,X0),k2_relat_1(sK9))
| ~ v1_relat_1(X0)
| ~ v2_funct_1(sK9)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_22
| ~ spl138_23 ),
inference(forward_subsumption_resolution,[],[f40661,f35792]) ).
fof(f40740,plain,
( ! [X0] :
( r2_hidden(sK104(sK9,X0),u1_struct_0(sK8))
| r2_hidden(sK105(sK9,X0),u1_struct_0(sK8))
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v1_relat_1(X0)
| ~ v2_funct_1(sK9)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_22
| ~ spl138_23 ),
inference(forward_demodulation,[],[f40702,f39082]) ).
fof(f40822,plain,
( ! [X0] : ~ r2_hidden(X0,u1_struct_0(sK8))
| ~ spl138_17 ),
inference(resolution,[],[f38599,f34158]) ).
fof(f40833,plain,
( v2_funct_1(sK9)
| spl138_2
| ~ spl138_3
| ~ spl138_8
| ~ spl138_17 ),
inference(backward_subsumption_resolution,[],[f36638,f40822]) ).
fof(f40856,plain,
( ! [X0] :
( ~ r2_hidden(X0,k2_relat_1(sK9))
| ~ v1_relat_1(sK9) )
| spl138_2
| ~ spl138_3
| ~ spl138_11
| ~ spl138_17 ),
inference(backward_subsumption_resolution,[],[f37598,f40822]) ).
fof(f41089,plain,
( ~ m1_subset_1(k2_funct_1(sK9),k1_autgroup(sK8))
| spl138_1
| spl138_2
| spl138_17 ),
inference(backward_subsumption_resolution,[],[f35840,f38598]) ).
fof(f41367,definition,
( spl138_29
<=> m1_subset_1(k2_funct_1(sK9),k1_autgroup(sK8)) ),
introduced(definition,[new_symbols(definition,[spl138_29])],[avatar_definition]) ).
fof(f41369,plain,
( ~ m1_subset_1(k2_funct_1(sK9),k1_autgroup(sK8))
| spl138_29 ),
inference(avatar_component_clause,[],[f41367]) ).
fof(f41370,plain,
( ~ spl138_29
| spl138_1
| spl138_2
| spl138_17 ),
inference(avatar_split_clause,[],[f41089,f38597,f34880,f34767,f41367]) ).
fof(f41656,plain,
( ~ r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| v1_xboole_0(k1_autgroup(sK8))
| spl138_29 ),
inference(resolution,[],[f41369,f34157]) ).
fof(f41735,plain,
( ~ r2_hidden(k2_funct_1(sK9),k1_autgroup(sK8))
| spl138_29 ),
inference(forward_subsumption_resolution,[],[f41656,f34158]) ).
fof(f41773,plain,
( $false
| spl138_2
| ~ spl138_3
| ~ spl138_4
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8
| ~ spl138_10
| ~ spl138_18
| ~ spl138_24
| spl138_29 ),
inference(forward_subsumption_resolution,[],[f41735,f39839]) ).
fof(f41774,plain,
( spl138_2
| ~ spl138_3
| ~ spl138_4
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8
| ~ spl138_10
| ~ spl138_18
| ~ spl138_24
| spl138_29 ),
inference(avatar_contradiction_clause,[],[f41773]) ).
fof(f41913,plain,
( ! [X0] :
( ~ r2_hidden(X0,u1_struct_0(sK8))
| ~ v1_relat_1(sK9) )
| spl138_2
| ~ spl138_3
| ~ spl138_11
| ~ spl138_17
| ~ spl138_22 ),
inference(forward_demodulation,[],[f40856,f39082]) ).
fof(f41919,plain,
( ! [X0] :
( r2_hidden(sK104(sK9,X0),u1_struct_0(sK8))
| r2_hidden(sK105(sK9,X0),u1_struct_0(sK8))
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_8
| ~ spl138_17
| ~ spl138_22
| ~ spl138_23 ),
inference(forward_subsumption_resolution,[],[f40740,f40833]) ).
fof(f42104,plain,
( ! [X0] :
( r2_hidden(sK105(sK9,X0),u1_struct_0(sK8))
| ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_8
| ~ spl138_11
| ~ spl138_17
| ~ spl138_22
| ~ spl138_23 ),
inference(forward_subsumption_resolution,[],[f41919,f41913]) ).
fof(f42142,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v1_relat_1(X0)
| ~ v1_relat_1(sK9) )
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_8
| ~ spl138_11
| ~ spl138_17
| ~ spl138_22
| ~ spl138_23 ),
inference(forward_subsumption_resolution,[],[f42104,f41913]) ).
fof(f44329,definition,
( spl138_37
<=> m1_subset_1(sK9,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8)))) ),
introduced(definition,[new_symbols(definition,[spl138_37])],[avatar_definition]) ).
fof(f44331,plain,
( m1_subset_1(sK9,k1_zfmisc_1(k2_zfmisc_1(u1_struct_0(sK8),u1_struct_0(sK8))))
| ~ spl138_37 ),
inference(avatar_component_clause,[],[f44329]) ).
fof(f44332,plain,
( spl138_37
| ~ spl138_9 ),
inference(avatar_split_clause,[],[f36871,f36825,f44329]) ).
fof(f44333,plain,
( v1_relat_1(sK9)
| ~ spl138_37 ),
inference(resolution,[],[f44331,f34058]) ).
fof(f44695,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v1_relat_1(X0) )
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_8
| ~ spl138_11
| ~ spl138_17
| ~ spl138_22
| ~ spl138_23
| ~ spl138_37 ),
inference(backward_subsumption_resolution,[],[f42142,f44333]) ).
fof(f45808,definition,
( spl138_40
<=> ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v1_relat_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl138_40])],[avatar_definition]) ).
fof(f45809,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK8),u1_struct_0(sK8),k1_autgroup(sK8))
| ~ v1_relat_1(X0) )
| ~ spl138_40 ),
inference(avatar_component_clause,[],[f45808]) ).
fof(f45810,plain,
( spl138_40
| spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_8
| ~ spl138_11
| ~ spl138_17
| ~ spl138_22
| ~ spl138_23
| ~ spl138_37 ),
inference(avatar_split_clause,[],[f44695,f44329,f39414,f39080,f38597,f37470,f36468,f34885,f34880,f34767,f45808]) ).
fof(f45846,definition,
( spl138_45
<=> v1_relat_1(sK9) ),
introduced(definition,[new_symbols(definition,[spl138_45])],[avatar_definition]) ).
fof(f45848,plain,
( v1_relat_1(sK9)
| ~ spl138_45 ),
inference(avatar_component_clause,[],[f45846]) ).
fof(f45849,plain,
( spl138_45
| ~ spl138_37 ),
inference(avatar_split_clause,[],[f44333,f44329,f45846]) ).
fof(f48830,plain,
( ~ v1_relat_1(sK9)
| ~ spl138_3
| ~ spl138_40 ),
inference(resolution,[],[f45809,f34887]) ).
fof(f48870,plain,
( $false
| ~ spl138_3
| ~ spl138_40
| ~ spl138_45 ),
inference(forward_subsumption_resolution,[],[f48830,f45848]) ).
fof(f48871,plain,
( ~ spl138_3
| ~ spl138_40
| ~ spl138_45 ),
inference(avatar_contradiction_clause,[],[f48870]) ).
cnf(s1,plain,
~ spl138_1,
inference(sat_conversion,[],[f34770]) ).
cnf(s2,plain,
~ spl138_2,
inference(sat_conversion,[],[f34883]) ).
cnf(s3,plain,
spl138_3,
inference(sat_conversion,[],[f34888]) ).
cnf(s4,plain,
spl138_4,
inference(sat_conversion,[],[f35864]) ).
cnf(s5,plain,
spl138_5,
inference(sat_conversion,[],[f35869]) ).
cnf(s6,plain,
spl138_6,
inference(sat_conversion,[],[f36122]) ).
cnf(s7,plain,
spl138_7,
inference(sat_conversion,[],[f36127]) ).
cnf(s8,plain,
( spl138_2
| ~ spl138_3
| spl138_8 ),
inference(sat_conversion,[],[f36471]) ).
cnf(s9,plain,
( spl138_2
| ~ spl138_3
| spl138_9 ),
inference(sat_conversion,[],[f36828]) ).
cnf(s10,plain,
( spl138_2
| ~ spl138_3
| spl138_10 ),
inference(sat_conversion,[],[f37030]) ).
cnf(s11,plain,
( spl138_2
| ~ spl138_3
| spl138_11 ),
inference(sat_conversion,[],[f37473]) ).
cnf(s17,plain,
( spl138_2
| ~ spl138_3
| spl138_17
| spl138_18 ),
inference(sat_conversion,[],[f38604]) ).
cnf(s20,plain,
( spl138_2
| ~ spl138_3
| spl138_21 ),
inference(sat_conversion,[],[f39077]) ).
cnf(s21,plain,
( ~ spl138_11
| ~ spl138_21
| spl138_22 ),
inference(sat_conversion,[],[f39083]) ).
cnf(s22,plain,
( spl138_2
| spl138_23 ),
inference(sat_conversion,[],[f39416]) ).
cnf(s23,plain,
( spl138_2
| spl138_24 ),
inference(sat_conversion,[],[f39518]) ).
cnf(s28,plain,
( spl138_1
| spl138_2
| spl138_17
| ~ spl138_29 ),
inference(sat_conversion,[],[f41370]) ).
cnf(s30,plain,
( spl138_2
| ~ spl138_3
| ~ spl138_4
| ~ spl138_5
| ~ spl138_6
| ~ spl138_7
| ~ spl138_8
| ~ spl138_10
| ~ spl138_18
| ~ spl138_24
| spl138_29 ),
inference(sat_conversion,[],[f41774]) ).
cnf(s44,plain,
( ~ spl138_9
| spl138_37 ),
inference(sat_conversion,[],[f44332]) ).
cnf(s47,plain,
( spl138_1
| spl138_2
| ~ spl138_3
| ~ spl138_8
| ~ spl138_11
| ~ spl138_17
| ~ spl138_22
| ~ spl138_23
| ~ spl138_37
| spl138_40 ),
inference(sat_conversion,[],[f45810]) ).
cnf(s52,plain,
( ~ spl138_37
| spl138_45 ),
inference(sat_conversion,[],[f45849]) ).
cnf(s58,plain,
( ~ spl138_3
| ~ spl138_40
| ~ spl138_45 ),
inference(sat_conversion,[],[f48871]) ).
cnf(s61,plain,
spl138_24,
inference(rat,[],[s23,s2]) ).
cnf(s62,plain,
spl138_23,
inference(rat,[],[s22,s2]) ).
cnf(s63,plain,
spl138_21,
inference(rat,[],[s20,s3,s2]) ).
cnf(s71,plain,
spl138_11,
inference(rat,[],[s11,s3,s2]) ).
cnf(s72,plain,
spl138_10,
inference(rat,[],[s10,s3,s2]) ).
cnf(s73,plain,
spl138_9,
inference(rat,[],[s9,s3,s2]) ).
cnf(s74,plain,
spl138_8,
inference(rat,[],[s8,s3,s2]) ).
cnf(s75,plain,
spl138_22,
inference(rat,[],[s21,s63,s71]) ).
cnf(s76,plain,
spl138_37,
inference(rat,[],[s44,s73]) ).
cnf(s78,plain,
spl138_45,
inference(rat,[],[s52,s76]) ).
cnf(s79,plain,
~ spl138_40,
inference(rat,[],[s58,s3,s78]) ).
cnf(s80,plain,
~ spl138_17,
inference(rat,[],[s47,s79,s76,s62,s75,s74,s71,s2,s3,s1]) ).
cnf(s81,plain,
spl138_18,
inference(rat,[],[s17,s2,s3,s80]) ).
cnf(s82,plain,
~ spl138_29,
inference(rat,[],[s28,s1,s2,s80]) ).
cnf(s85,plain,
$false,
inference(rat,[],[s30,s74,s61,s72,s2,s3,s7,s6,s5,s4,s82,s81]) ).
fof(f48932,plain,
$false,
inference(avatar_sat_refutation,[],[s85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP620+4 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 % Computer : n016.cluster.edu
% 0.23/0.48 % Model : x86_64 x86_64
% 0.23/0.48 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.48 % Memory : 8046.5625MB
% 0.23/0.48 % OS : Linux 6.8.0-71-generic
% 0.23/0.48 % CPULimit : 300
% 0.23/0.48 % WCLimit : 300
% 0.23/0.48 % DateTime : Sun Sep 27 10:14:13 UTC 2026
% 0.23/0.48 % CPUTime :
% 0.23/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.54 Running first-order theorem proving
% 0.27/0.54 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
% 19.55/5.35 % (2407460)Detected formulas, will run a generic FOF schedule.
% 19.55/5.35 % (2407471)dis-21_1_sil=8000:lcm=predicate:random_seed=737175839:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2983 on theBenchmark for (2983ds/129Mi)
% 19.55/5.35 % (2407468)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3602057406:i=109:sd=1:ins=1:gsp=on:ss=axioms_2983 on theBenchmark for (2983ds/109Mi)
% 19.55/5.35 % (2407465)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=394081901:i=141193_2983 on theBenchmark for (2983ds/141193Mi)
% 19.55/5.35 % (2407467)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=3417835714:i=141695:sd=1:nm=32:gsp=on:ss=included_2983 on theBenchmark for (2983ds/141695Mi)
% 19.55/5.35 % (2407466)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=3405692834:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2983 on theBenchmark for (2983ds/134677Mi)
% 19.55/5.35 % (2407469)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=128643627:i=119:av=off:ss=axioms_2983 on theBenchmark for (2983ds/119Mi)
% 19.55/5.35 % (2407470)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=860683042:s2a=on:i=139:gtg=position_2983 on theBenchmark for (2983ds/139Mi)
% 19.55/5.35 % (2407471)Instruction limit reached!
% 19.55/5.35 % (2407471)------------------------------
% 19.55/5.35 % (2407471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/5.35 % (2407471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/5.35 % (2407471)CaDiCaL version: 2.1.3
% 19.55/5.35 % (2407471)Termination reason: Instruction limit
% 19.55/5.35 % (2407471)Termination phase: SInE selection
% 19.55/5.35 % (2407471)Time elapsed: 0.080 s
% 19.55/5.35 % (2407471)Peak memory usage: 133 MB
% 19.55/5.35 % (2407471)Instructions burned: 131 (million)
% 19.55/5.35 % (2407468)Instruction limit reached!
% 19.55/5.35 % (2407468)------------------------------
% 19.55/5.35 % (2407468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/5.35 % (2407468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/5.35 % (2407468)CaDiCaL version: 2.1.3
% 19.55/5.35 % (2407468)Termination reason: Instruction limit
% 19.55/5.35 % (2407468)Termination phase: SInE selection
% 19.55/5.35 % (2407468)Time elapsed: 0.093 s
% 19.55/5.35 % (2407468)Peak memory usage: 133 MB
% 19.55/5.35 % (2407468)Instructions burned: 109 (million)
% 19.55/5.35 % (2407470)Instruction limit reached!
% 19.55/5.35 % (2407470)------------------------------
% 19.55/5.35 % (2407470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/5.35 % (2407470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/5.35 % (2407470)CaDiCaL version: 2.1.3
% 19.55/5.35 % (2407470)Termination reason: Instruction limit
% 19.55/5.35 % (2407470)Termination phase: Property scanning
% 19.55/5.35 % (2407470)Time elapsed: 0.119 s
% 19.55/5.35 % (2407470)Peak memory usage: 133 MB
% 19.55/5.35 % (2407470)Instructions burned: 139 (million)
% 19.55/5.35 % (2407469)Instruction limit reached!
% 19.55/5.35 % (2407469)------------------------------
% 19.55/5.35 % (2407469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/5.35 % (2407469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/5.35 % (2407469)CaDiCaL version: 2.1.3
% 19.55/5.35 % (2407469)Termination reason: Instruction limit
% 19.55/5.35 % (2407469)Termination phase: SInE selection
% 19.55/5.35 % (2407469)Time elapsed: 0.129 s
% 19.55/5.35 % (2407469)Peak memory usage: 133 MB
% 19.55/5.35 % (2407469)Instructions burned: 119 (million)
% 19.55/5.35 % (2407479)lrs+10_1_sil=8000:sp=occurrence:random_seed=1498422180:i=285:sd=3:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/285Mi)
% 19.55/5.35 % (2407480)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1256887564:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/157Mi)
% 19.55/5.35 % (2407482)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=3664827187:s2a=on:i=248:s2at=1.23:gtg=position_2979 on theBenchmark for (2979ds/248Mi)
% 19.55/5.35 % (2407480)Instruction limit reached!
% 19.55/5.35 % (2407480)------------------------------
% 19.55/5.35 % (2407480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.47/6.36 % (2407480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/6.36 % (2407480)CaDiCaL version: 2.1.3
% 26.47/6.36 % (2407480)Termination reason: Instruction limit
% 26.47/6.36 % (2407480)Termination phase: Property scanning
% 26.47/6.36 % (2407480)Time elapsed: 0.134 s
% 26.47/6.36 % (2407480)Peak memory usage: 133 MB
% 26.47/6.36 % (2407480)Instructions burned: 157 (million)
% 26.47/6.36 % (2407481)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3289627579:i=325:sd=1:ss=axioms:sgt=32_2979 on theBenchmark for (2979ds/325Mi)
% 26.47/6.36 % (2407482)Instruction limit reached!
% 26.47/6.36 % (2407482)------------------------------
% 26.47/6.36 % (2407482)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.47/6.36 % (2407482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/6.36 % (2407482)CaDiCaL version: 2.1.3
% 26.47/6.36 % (2407482)Termination reason: Instruction limit
% 26.47/6.36 % (2407482)Termination phase: Property scanning
% 26.47/6.36 % (2407482)Time elapsed: 0.116 s
% 26.47/6.36 % (2407482)Peak memory usage: 133 MB
% 26.47/6.36 % (2407482)Instructions burned: 249 (million)
% 26.47/6.36 % (2407479)Instruction limit reached!
% 26.47/6.36 % (2407479)------------------------------
% 26.47/6.36 % (2407479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.47/6.36 % (2407479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/6.36 % (2407479)CaDiCaL version: 2.1.3
% 26.47/6.36 % (2407479)Termination reason: Instruction limit
% 26.47/6.36 % (2407479)Termination phase: Property scanning
% 26.47/6.36 % (2407479)Time elapsed: 0.206 s
% 26.47/6.36 % (2407479)Peak memory usage: 138 MB
% 26.47/6.36 % (2407479)Instructions burned: 287 (million)
% 26.47/6.36 % (2407488)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1514362458:i=2350_2976 on theBenchmark for (2976ds/2350Mi)
% 26.47/6.36 % (2407486)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2646776067:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2976 on theBenchmark for (2976ds/294Mi)
% 26.47/6.36 % (2407489)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3773733256:cts=off:i=113:fsr=off:ss=included:sgt=4_2976 on theBenchmark for (2976ds/113Mi)
% 26.47/6.36 % (2407489)Instruction limit reached!
% 26.47/6.36 % (2407489)------------------------------
% 26.47/6.36 % (2407489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.47/6.36 % (2407489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/6.36 % (2407489)CaDiCaL version: 2.1.3
% 26.47/6.36 % (2407489)Termination reason: Instruction limit
% 26.47/6.36 % (2407489)Termination phase: SInE selection
% 26.47/6.36 % (2407489)Time elapsed: 0.074 s
% 26.47/6.36 % (2407489)Peak memory usage: 133 MB
% 26.47/6.36 % (2407489)Instructions burned: 114 (million)
% 26.47/6.36 % (2407481)Instruction limit reached!
% 26.47/6.36 % (2407481)------------------------------
% 26.47/6.36 % (2407481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.47/6.36 % (2407481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/6.36 % (2407481)CaDiCaL version: 2.1.3
% 26.47/6.36 % (2407481)Termination reason: Instruction limit
% 26.47/6.36 % (2407481)Termination phase: Saturation
% 26.47/6.36 % (2407481)Time elapsed: 0.362 s
% 26.47/6.36 % (2407481)Peak memory usage: 139 MB
% 26.47/6.36 % (2407481)Instructions burned: 325 (million)
% 26.47/6.36 % (2407486)Instruction limit reached!
% 26.47/6.36 % (2407486)------------------------------
% 26.47/6.36 % (2407486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.47/6.36 % (2407486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/6.36 % (2407486)CaDiCaL version: 2.1.3
% 26.47/6.36 % (2407486)Termination reason: Instruction limit
% 26.47/6.36 % (2407486)Termination phase: SInE selection
% 26.47/6.36 % (2407486)Time elapsed: 0.277 s
% 26.47/6.36 % (2407486)Peak memory usage: 134 MB
% 26.47/6.36 % (2407486)Instructions burned: 294 (million)
% 26.47/6.36 % (2407493)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2040703680:i=127:av=off:fsr=off:sup=off_2973 on theBenchmark for (2973ds/127Mi)
% 26.47/6.36 % (2407493)Instruction limit reached!
% 26.47/6.36 % (2407493)------------------------------
% 26.47/6.36 % (2407493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.47/6.36 % (2407493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.47/6.36 % (2407493)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407493)Termination reason: Instruction limit
% 29.72/7.01 % (2407493)Termination phase: Preprocessing 1
% 29.72/7.01 % (2407493)Time elapsed: 0.081 s
% 29.72/7.01 % (2407493)Peak memory usage: 136 MB
% 29.72/7.01 % (2407493)Instructions burned: 128 (million)
% 29.72/7.01 % (2407494)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3262811708:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2972 on theBenchmark for (2972ds/114Mi)
% 29.72/7.01 % (2407495)lrs+10_1_sil=8000:sp=occurrence:random_seed=590431705:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2971 on theBenchmark for (2971ds/907Mi)
% 29.72/7.01 % (2407494)Instruction limit reached!
% 29.72/7.01 % (2407494)------------------------------
% 29.72/7.01 % (2407494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407494)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407494)Termination reason: Instruction limit
% 29.72/7.01 % (2407494)Termination phase: Property scanning
% 29.72/7.01 % (2407494)Time elapsed: 0.101 s
% 29.72/7.01 % (2407494)Peak memory usage: 133 MB
% 29.72/7.01 % (2407494)Instructions burned: 115 (million)
% 29.72/7.01 % (2407497)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=933747610:i=437:sd=1:aac=none:ss=included_2970 on theBenchmark for (2970ds/437Mi)
% 29.72/7.01 % (2407497)Instruction limit reached!
% 29.72/7.01 % (2407497)------------------------------
% 29.72/7.01 % (2407497)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407497)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407497)Termination reason: Instruction limit
% 29.72/7.01 % (2407497)Termination phase: Saturation
% 29.72/7.01 % (2407497)Time elapsed: 0.181 s
% 29.72/7.01 % (2407497)Peak memory usage: 141 MB
% 29.72/7.01 % (2407497)Instructions burned: 439 (million)
% 29.72/7.01 % (2407500)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3536241439:i=5202:ss=axioms:sgt=16_2968 on theBenchmark for (2968ds/5202Mi)
% 29.72/7.01 % (2407502)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=4040802025:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2966 on theBenchmark for (2966ds/134Mi)
% 29.72/7.01 % (2407502)Instruction limit reached!
% 29.72/7.01 % (2407502)------------------------------
% 29.72/7.01 % (2407502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407502)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407502)Termination reason: Instruction limit
% 29.72/7.01 % (2407502)Termination phase: SInE selection
% 29.72/7.01 % (2407502)Time elapsed: 0.059 s
% 29.72/7.01 % (2407502)Peak memory usage: 133 MB
% 29.72/7.01 % (2407502)Instructions burned: 135 (million)
% 29.72/7.01 % (2407505)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=65701452:st=8:i=592:sd=3:ep=RST:ss=axioms_2964 on theBenchmark for (2964ds/592Mi)
% 29.72/7.01 % (2407505)Instruction limit reached!
% 29.72/7.01 % (2407505)------------------------------
% 29.72/7.01 % (2407505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407505)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407505)Termination reason: Instruction limit
% 29.72/7.01 % (2407505)Termination phase: Preprocessing 2
% 29.72/7.01 % (2407505)Time elapsed: 0.278 s
% 29.72/7.01 % (2407505)Peak memory usage: 143 MB
% 29.72/7.01 % (2407505)Instructions burned: 593 (million)
% 29.72/7.01 % (2407495)Instruction limit reached!
% 29.72/7.01 % (2407495)------------------------------
% 29.72/7.01 % (2407495)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407495)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407495)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407495)Termination reason: Instruction limit
% 29.72/7.01 % (2407495)Termination phase: Equality resolution with deletion
% 29.72/7.01 % (2407495)Time elapsed: 0.940 s
% 29.72/7.01 % (2407495)Peak memory usage: 154 MB
% 29.72/7.01 % (2407495)Instructions burned: 908 (million)
% 29.72/7.01 % (2407507)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2024814175:st=3:i=13193:sd=3:ss=axioms_2960 on theBenchmark for (2960ds/13193Mi)
% 29.72/7.01 % (2407508)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=3060656730:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2959 on theBenchmark for (2959ds/125Mi)
% 29.72/7.01 % (2407508)Instruction limit reached!
% 29.72/7.01 % (2407508)------------------------------
% 29.72/7.01 % (2407508)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407508)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407508)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407508)Termination reason: Instruction limit
% 29.72/7.01 % (2407508)Termination phase: Property scanning
% 29.72/7.01 % (2407508)Time elapsed: 0.032 s
% 29.72/7.01 % (2407508)Peak memory usage: 133 MB
% 29.72/7.01 % (2407508)Instructions burned: 125 (million)
% 29.72/7.01 % (2407511)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=4085412761:i=134:gtgl=5:slsql=off:gtg=exists_sym_2957 on theBenchmark for (2957ds/134Mi)
% 29.72/7.01 % (2407511)Instruction limit reached!
% 29.72/7.01 % (2407511)------------------------------
% 29.72/7.01 % (2407511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407511)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407511)Termination reason: Instruction limit
% 29.72/7.01 % (2407511)Termination phase: Property scanning
% 29.72/7.01 % (2407511)Time elapsed: 0.034 s
% 29.72/7.01 % (2407511)Peak memory usage: 133 MB
% 29.72/7.01 % (2407511)Instructions burned: 134 (million)
% 29.72/7.01 % (2407513)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2522083529:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2956 on theBenchmark for (2956ds/141Mi)
% 29.72/7.01 % (2407513)Instruction limit reached!
% 29.72/7.01 % (2407513)------------------------------
% 29.72/7.01 % (2407513)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407513)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407513)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407513)Termination reason: Instruction limit
% 29.72/7.01 % (2407513)Termination phase: SInE selection
% 29.72/7.01 % (2407513)Time elapsed: 0.061 s
% 29.72/7.01 % (2407513)Peak memory usage: 133 MB
% 29.72/7.01 % (2407513)Instructions burned: 143 (million)
% 29.72/7.01 % (2407515)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1680504093:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2954 on theBenchmark for (2954ds/431Mi)
% 29.72/7.01 % (2407515)Refutation not found, incomplete strategy
% 29.72/7.01 % (2407515)------------------------------
% 29.72/7.01 % (2407515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407515)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407515)Termination reason: Refutation not found, incomplete strategy
% 29.72/7.01 % (2407515)Time elapsed: 0.112 s
% 29.72/7.01 % (2407515)Peak memory usage: 139 MB
% 29.72/7.01 % (2407515)Instructions burned: 238 (million)
% 29.72/7.01 % (2407488)Instruction limit reached!
% 29.72/7.01 % (2407488)------------------------------
% 29.72/7.01 % (2407488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407488)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407488)Termination reason: Instruction limit
% 29.72/7.01 % (2407488)Termination phase: Property scanning
% 29.72/7.01 % (2407488)Time elapsed: 2.277 s
% 29.72/7.01 % (2407488)Peak memory usage: 227 MB
% 29.72/7.01 % (2407488)Instructions burned: 2352 (million)
% 29.72/7.01 % (2407515)------------------------------
% 29.72/7.01 % (2407515)------------------------------
% 29.72/7.01 % (2407517)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1425334283:i=6060:aac=none:ins=25_2951 on theBenchmark for (2951ds/6060Mi)
% 29.72/7.01 % (2407518)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=4080565473:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2950 on theBenchmark for (2950ds/150Mi)
% 29.72/7.01 % (2407518)Instruction limit reached!
% 29.72/7.01 % (2407518)------------------------------
% 29.72/7.01 % (2407518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.72/7.01 % (2407518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.72/7.01 % (2407518)CaDiCaL version: 2.1.3
% 29.72/7.01 % (2407518)Termination reason: Instruction limit
% 29.72/7.01 % (2407518)Termination phase: SInE selection
% 29.72/7.01 % (2407518)Time elapsed: 0.065 s
% 29.72/7.01 % (2407518)Peak memory usage: 133 MB
% 29.72/7.01 % (2407518)Instructions burned: 151 (million)
% 29.72/7.01 % (2407521)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=2885449905:i=14155:bd=all_2948 on theBenchmark for (2948ds/14155Mi)
% 29.72/7.01 % (2407467)First to succeed.
% 29.72/7.01 % (2407467)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2407460"
% 29.72/7.01 % (2407467)Refutation found. Thanks to Tanya!
% 29.72/7.01 % SZS status Theorem for theBenchmark
% 29.72/7.01 % SZS output start Proof for theBenchmark
% See solution above
% 32.07/7.25 % (2407467)------------------------------
% 32.07/7.25 % (2407467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.07/7.25 % (2407467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.07/7.25 % (2407467)CaDiCaL version: 2.1.3
% 32.07/7.25 % (2407467)Termination reason: Refutation
% 32.07/7.25 % (2407467)Time elapsed: 3.570 s
% 32.07/7.25 % (2407467)Peak memory usage: 206 MB
% 32.07/7.25 % (2407467)Instructions burned: 4189 (million)
% 32.07/7.25 % (2407467)------------------------------
% 32.07/7.25 % (2407467)------------------------------
% 32.07/7.25 % (2407460)Success in time 5.834 s
% 32.07/7.25 % Vampire exiting
%------------------------------------------------------------------------------