%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP620+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.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 3.30s 1.32s
% Output : Refutation 3.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 30
% Syntax : Number of formulae : 256 ( 30 unt; 14 def)
% Number of atoms : 1326 ( 20 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 1869 ( 799 ~; 869 |; 138 &)
% ( 30 <=>; 33 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 36 ( 34 usr; 14 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 219 ( 0 sgn 212 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/sandbox2/benchmark/theBenchmark.p',t7_autgroup) ).
fof(f2,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)],[f1]) ).
fof(f5,axiom,
! [X0] :
( v1_fraenkel(X0)
=> ! [X1] :
( m1_subset_1(X1,X0)
=> ( v1_relat_1(X1)
& v1_funct_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_fraenkel) ).
fof(f9,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f15,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/sandbox2/benchmark/theBenchmark.p',d1_autgroup) ).
fof(f17,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/sandbox2/benchmark/theBenchmark.p',dt_k1_autgroup) ).
fof(f20,axiom,
! [X0] :
( ( v1_relat_1(X0)
& v1_funct_1(X0) )
=> ( v1_relat_1(k2_funct_1(X0))
& v1_funct_1(k2_funct_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_funct_1) ).
fof(f22,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f24,axiom,
! [X0,X1,X2] :
( m1_fraenkel(X2,X0,X1)
=> ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_fraenkel) ).
fof(f28,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/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f39,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f57,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/sandbox2/benchmark/theBenchmark.p',redefinition_m2_fraenkel) ).
fof(f60,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f61,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f64,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/sandbox2/benchmark/theBenchmark.p',t5_autgroup) ).
fof(f66,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/sandbox2/benchmark/theBenchmark.p',t6_autgroup) ).
fof(f68,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/sandbox2/benchmark/theBenchmark.p',t73_group_6) ).
fof(f71,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,[],[f15]) ).
fof(f76,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,[],[f2]) ).
fof(f77,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,[],[f76]) ).
fof(f81,plain,
! [X0] :
( ! [X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
| ~ m1_subset_1(X1,X0) )
| ~ v1_fraenkel(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f87,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f9]) ).
fof(f98,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,[],[f71]) ).
fof(f99,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,[],[f98]) ).
fof(f102,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,[],[f17]) ).
fof(f103,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,[],[f102]) ).
fof(f104,plain,
! [X0] :
( ( v1_relat_1(k2_funct_1(X0))
& v1_funct_1(k2_funct_1(X0)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f105,plain,
! [X0] :
( ( v1_relat_1(k2_funct_1(X0))
& v1_funct_1(k2_funct_1(X0)) )
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( ~ v1_xboole_0(X2)
& v1_fraenkel(X2) )
| ~ m1_fraenkel(X2,X0,X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f110,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,[],[f28]) ).
fof(f116,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f39]) ).
fof(f117,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f116]) ).
fof(f124,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,[],[f57]) ).
fof(f125,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,[],[f124]) ).
fof(f126,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f127,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f128,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f127]) ).
fof(f132,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,[],[f64]) ).
fof(f133,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,[],[f132]) ).
fof(f135,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,[],[f66]) ).
fof(f136,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,[],[f135]) ).
fof(f138,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,[],[f68]) ).
fof(f139,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,[],[f138]) ).
fof(f142,definition,
! [X0,X1] :
( sP0(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)) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f143,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) )
& sP0(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(definition_folding,[],[f99,f142]) ).
fof(f144,plain,
( ~ m2_fraenkel(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
& ~ v3_struct_0(sK1)
& v1_group_1(sK1)
& v3_group_1(sK1)
& v4_group_1(sK1)
& l1_group_1(sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X0,sK1),skolemize(X1,sK2)],[f77]) ).
fof(f152,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) )
| ~ sP0(X0,X1) )
& ( ( ! [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) )
& sP0(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(nnf_transformation,[],[f143]) ).
fof(f153,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) )
| ~ sP0(X0,X1) )
& ( ( ! [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) )
& sP0(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(flattening,[],[f152]) ).
fof(f154,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) )
| ~ sP0(X0,X1) )
& ( ( ! [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)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP0(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(rectify,[],[f153]) ).
fof(f155,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_autgroup(X0)
| ( ( ~ v1_funct_1(sK4(X0,X1))
| ~ v1_funct_2(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0))
| ~ v1_group_6(sK4(X0,X1),X0,X0)
| ~ m2_relset_1(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0)) )
& m2_fraenkel(sK4(X0,X1),u1_struct_0(X0),u1_struct_0(X0),X1) )
| ~ sP0(X0,X1) )
& ( ( ! [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)) )
| ~ m2_fraenkel(X3,u1_struct_0(X0),u1_struct_0(X0),X1) )
& sP0(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(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f154]) ).
fof(f178,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,[],[f125]) ).
fof(f180,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,[],[f133]) ).
fof(f181,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f144]) ).
fof(f182,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f144]) ).
fof(f183,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f144]) ).
fof(f184,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f144]) ).
fof(f185,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f144]) ).
fof(f186,plain,
m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f144]) ).
fof(f187,plain,
~ m2_fraenkel(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)),
inference(cnf_transformation,[],[f144]) ).
fof(f190,plain,
! [X0,X1] :
( v1_funct_1(X1)
| ~ m1_subset_1(X1,X0)
| ~ v1_fraenkel(X0) ),
inference(cnf_transformation,[],[f81]) ).
fof(f196,plain,
! [X2,X0,X1] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f87]) ).
fof(f223,plain,
! [X3,X0,X1] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,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,[],[f155]) ).
fof(f224,plain,
! [X3,X0,X1] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,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,[],[f155]) ).
fof(f225,plain,
! [X3,X0,X1] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,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,[],[f155]) ).
fof(f231,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v1_group_1(X0)
| ~ v3_group_1(X0)
| m1_fraenkel(k1_autgroup(X0),u1_struct_0(X0),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f232,plain,
! [X0] :
( v1_funct_1(k2_funct_1(X0))
| ~ v1_relat_1(X0)
| ~ v1_funct_1(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f234,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f235,plain,
! [X2,X0,X1] :
( v1_fraenkel(X2)
| ~ m1_fraenkel(X2,X0,X1) ),
inference(cnf_transformation,[],[f107]) ).
fof(f236,plain,
! [X2,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f107]) ).
fof(f240,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,[],[f110]) ).
fof(f253,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f301,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,[],[f178]) ).
fof(f302,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X2,X0,X1)
| ~ m1_subset_1(X3,X2)
| v1_xboole_0(X1)
| m2_fraenkel(X3,X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
fof(f306,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f307,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f128]) ).
fof(f310,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,[],[f180]) ).
fof(f311,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,[],[f180]) ).
fof(f313,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,[],[f136]) ).
fof(f314,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,[],[f136]) ).
fof(f315,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,[],[f136]) ).
fof(f318,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,[],[f139]) ).
fof(f322,plain,
! [X3,X0] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,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,[],[f225]) ).
fof(f323,plain,
! [X3,X0] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,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,[],[f224]) ).
fof(f324,plain,
! [X3,X0] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,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,[],[f223]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ v4_group_6(X2,X1,X0)
| v4_group_6(k2_funct_1(X2),X0,X1)
| ~ 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,[],[f318]) ).
fof(f327,plain,
( v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1) ),
inference(resolution,[],[f231,f182]) ).
fof(f330,plain,
( ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f327,f185]) ).
fof(f332,plain,
( ~ v3_group_1(sK1)
| m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f330,f184]) ).
fof(f334,plain,
( m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1) ),
inference(forward_subsumption_resolution,[],[f332,f183]) ).
fof(f336,plain,
m1_fraenkel(k1_autgroup(sK1),u1_struct_0(sK1),u1_struct_0(sK1)),
inference(forward_subsumption_resolution,[],[f334,f181]) ).
fof(f339,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| m2_fraenkel(X0,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) ),
inference(resolution,[],[f336,f302]) ).
fof(f346,definition,
( spl27_2
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_2])],[avatar_definition]) ).
fof(f347,plain,
( ~ v1_xboole_0(u1_struct_0(sK1))
| spl27_2 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f348,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl27_2 ),
inference(avatar_component_clause,[],[f346]) ).
fof(f351,definition,
( spl27_3
<=> ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK1))
| m2_fraenkel(X0,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl27_3])],[avatar_definition]) ).
fof(f352,plain,
( ! [X0] :
( ~ m1_subset_1(X0,k1_autgroup(sK1))
| m2_fraenkel(X0,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1)) )
| ~ spl27_3 ),
inference(avatar_component_clause,[],[f351]) ).
fof(f353,plain,
( spl27_2
| spl27_3 ),
inference(avatar_split_clause,[],[f339,f351,f346]) ).
fof(f362,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl27_2 ),
inference(resolution,[],[f348,f253]) ).
fof(f363,plain,
( ~ l1_struct_0(sK1)
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f362,f185]) ).
fof(f364,plain,
( ~ l1_group_1(sK1)
| ~ spl27_2 ),
inference(resolution,[],[f363,f234]) ).
fof(f365,plain,
( $false
| ~ spl27_2 ),
inference(forward_subsumption_resolution,[],[f364,f181]) ).
fof(f366,plain,
~ spl27_2,
inference(avatar_contradiction_clause,[],[f365]) ).
fof(f377,plain,
! [X3,X0] :
( v1_group_6(X3,X0,X0)
| ~ m2_fraenkel(X3,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(forward_subsumption_resolution,[],[f323,f231]) ).
fof(f380,plain,
! [X3,X0] :
( v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,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(forward_subsumption_resolution,[],[f322,f231]) ).
fof(f383,plain,
! [X3,X0] :
( m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X0))
| ~ m2_fraenkel(X3,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(forward_subsumption_resolution,[],[f324,f231]) ).
fof(f467,plain,
! [X2,X3,X0,X1] :
( r2_hidden(X0,X1)
| v1_xboole_0(X1)
| ~ m2_fraenkel(X0,X2,X3,X1)
| v1_xboole_0(X3)
| ~ m1_fraenkel(X1,X2,X3) ),
inference(resolution,[],[f307,f301]) ).
fof(f470,plain,
! [X2,X3,X0,X1] :
( ~ m1_fraenkel(X1,X2,X3)
| ~ m2_fraenkel(X0,X2,X3,X1)
| v1_xboole_0(X3)
| r2_hidden(X0,X1) ),
inference(forward_subsumption_resolution,[],[f467,f236]) ).
fof(f593,plain,
! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| r2_hidden(X0,k1_autgroup(sK1)) ),
inference(resolution,[],[f470,f336]) ).
fof(f597,plain,
( ! [X0] :
( ~ m2_fraenkel(X0,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
| r2_hidden(X0,k1_autgroup(sK1)) )
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f593,f347]) ).
fof(f599,plain,
( r2_hidden(sK2,k1_autgroup(sK1))
| spl27_2 ),
inference(resolution,[],[f597,f186]) ).
fof(f609,plain,
( v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_2 ),
inference(resolution,[],[f599,f310]) ).
fof(f612,plain,
( m1_subset_1(sK2,k1_autgroup(sK1))
| spl27_2 ),
inference(resolution,[],[f599,f306]) ).
fof(f615,plain,
( v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f609,f185]) ).
fof(f616,plain,
( v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f615,f184]) ).
fof(f617,plain,
( v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f616,f183]) ).
fof(f618,plain,
( v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1)
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f617,f182]) ).
fof(f619,plain,
( v4_group_6(sK2,sK1,sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| spl27_2 ),
inference(forward_subsumption_resolution,[],[f618,f181]) ).
fof(f621,definition,
( spl27_19
<=> m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_19])],[avatar_definition]) ).
fof(f622,plain,
( m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl27_19 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f623,plain,
( ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| spl27_19 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f625,definition,
( spl27_20
<=> v1_group_6(sK2,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl27_20])],[avatar_definition]) ).
fof(f626,plain,
( v1_group_6(sK2,sK1,sK1)
| ~ spl27_20 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f627,plain,
( ~ v1_group_6(sK2,sK1,sK1)
| spl27_20 ),
inference(avatar_component_clause,[],[f625]) ).
fof(f629,definition,
( spl27_21
<=> v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_21])],[avatar_definition]) ).
fof(f630,plain,
( v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl27_21 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f631,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| spl27_21 ),
inference(avatar_component_clause,[],[f629]) ).
fof(f633,definition,
( spl27_22
<=> v1_funct_1(sK2) ),
introduced(definition,[new_symbols(definition,[spl27_22])],[avatar_definition]) ).
fof(f634,plain,
( v1_funct_1(sK2)
| ~ spl27_22 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f635,plain,
( ~ v1_funct_1(sK2)
| spl27_22 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f637,definition,
( spl27_23
<=> v4_group_6(sK2,sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl27_23])],[avatar_definition]) ).
fof(f639,plain,
( v4_group_6(sK2,sK1,sK1)
| ~ spl27_23 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f640,plain,
( ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| spl27_23
| spl27_2 ),
inference(avatar_split_clause,[],[f619,f346,f637,f633,f629,f625,f621]) ).
fof(f678,plain,
( ~ m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_19 ),
inference(resolution,[],[f623,f383]) ).
fof(f682,plain,
( v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_19 ),
inference(forward_subsumption_resolution,[],[f678,f186]) ).
fof(f685,plain,
( ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_19 ),
inference(forward_subsumption_resolution,[],[f682,f185]) ).
fof(f686,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_19 ),
inference(forward_subsumption_resolution,[],[f685,f184]) ).
fof(f687,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_19 ),
inference(forward_subsumption_resolution,[],[f686,f183]) ).
fof(f688,plain,
( ~ l1_group_1(sK1)
| spl27_19 ),
inference(forward_subsumption_resolution,[],[f687,f182]) ).
fof(f689,plain,
( $false
| spl27_19 ),
inference(forward_subsumption_resolution,[],[f688,f181]) ).
fof(f690,plain,
spl27_19,
inference(avatar_contradiction_clause,[],[f689]) ).
fof(f691,plain,
( ~ m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_20 ),
inference(resolution,[],[f627,f377]) ).
fof(f692,plain,
( v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_20 ),
inference(forward_subsumption_resolution,[],[f691,f186]) ).
fof(f693,plain,
( ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_20 ),
inference(forward_subsumption_resolution,[],[f692,f185]) ).
fof(f694,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_20 ),
inference(forward_subsumption_resolution,[],[f693,f184]) ).
fof(f695,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_20 ),
inference(forward_subsumption_resolution,[],[f694,f183]) ).
fof(f696,plain,
( ~ l1_group_1(sK1)
| spl27_20 ),
inference(forward_subsumption_resolution,[],[f695,f182]) ).
fof(f697,plain,
( $false
| spl27_20 ),
inference(forward_subsumption_resolution,[],[f696,f181]) ).
fof(f698,plain,
spl27_20,
inference(avatar_contradiction_clause,[],[f697]) ).
fof(f708,plain,
( ~ m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_21 ),
inference(resolution,[],[f631,f380]) ).
fof(f721,plain,
( v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_21 ),
inference(forward_subsumption_resolution,[],[f708,f186]) ).
fof(f724,plain,
( ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_21 ),
inference(forward_subsumption_resolution,[],[f721,f185]) ).
fof(f725,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_21 ),
inference(forward_subsumption_resolution,[],[f724,f184]) ).
fof(f726,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_21 ),
inference(forward_subsumption_resolution,[],[f725,f183]) ).
fof(f727,plain,
( ~ l1_group_1(sK1)
| spl27_21 ),
inference(forward_subsumption_resolution,[],[f726,f182]) ).
fof(f728,plain,
( $false
| spl27_21 ),
inference(forward_subsumption_resolution,[],[f727,f181]) ).
fof(f729,plain,
spl27_21,
inference(avatar_contradiction_clause,[],[f728]) ).
fof(f730,plain,
( ! [X0] :
( ~ v1_fraenkel(X0)
| ~ m1_subset_1(sK2,X0) )
| spl27_22 ),
inference(resolution,[],[f635,f190]) ).
fof(f735,plain,
( ! [X2,X0,X1] :
( ~ m1_fraenkel(X0,X1,X2)
| ~ m1_subset_1(sK2,X0) )
| spl27_22 ),
inference(resolution,[],[f730,f235]) ).
fof(f766,plain,
( ~ m1_subset_1(sK2,k1_autgroup(sK1))
| spl27_22 ),
inference(resolution,[],[f735,f336]) ).
fof(f769,plain,
( $false
| spl27_2
| spl27_22 ),
inference(forward_subsumption_resolution,[],[f766,f612]) ).
fof(f770,plain,
( spl27_2
| spl27_22 ),
inference(avatar_contradiction_clause,[],[f769]) ).
fof(f790,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_23 ),
inference(resolution,[],[f639,f326]) ).
fof(f793,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_23 ),
inference(duplicate_literal_removal,[],[f790]) ).
fof(f795,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_funct_2(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_22
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f793,f634]) ).
fof(f797,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK1,sK1)
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f795,f630]) ).
fof(f799,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f797,f626]) ).
fof(f801,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f799,f622]) ).
fof(f803,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f801,f185]) ).
fof(f805,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f803,f183]) ).
fof(f807,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1)
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f805,f182]) ).
fof(f809,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23 ),
inference(forward_subsumption_resolution,[],[f807,f181]) ).
fof(f811,definition,
( spl27_31
<=> m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_31])],[avatar_definition]) ).
fof(f812,plain,
( m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl27_31 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f813,plain,
( ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| spl27_31 ),
inference(avatar_component_clause,[],[f811]) ).
fof(f815,definition,
( spl27_32
<=> v1_group_6(k2_funct_1(sK2),sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl27_32])],[avatar_definition]) ).
fof(f816,plain,
( v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ spl27_32 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f817,plain,
( ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| spl27_32 ),
inference(avatar_component_clause,[],[f815]) ).
fof(f819,definition,
( spl27_33
<=> v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_33])],[avatar_definition]) ).
fof(f821,plain,
( ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| spl27_33 ),
inference(avatar_component_clause,[],[f819]) ).
fof(f823,definition,
( spl27_34
<=> v1_funct_1(k2_funct_1(sK2)) ),
introduced(definition,[new_symbols(definition,[spl27_34])],[avatar_definition]) ).
fof(f824,plain,
( v1_funct_1(k2_funct_1(sK2))
| ~ spl27_34 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f825,plain,
( ~ v1_funct_1(k2_funct_1(sK2))
| spl27_34 ),
inference(avatar_component_clause,[],[f823]) ).
fof(f827,definition,
( spl27_35
<=> v4_group_6(k2_funct_1(sK2),sK1,sK1) ),
introduced(definition,[new_symbols(definition,[spl27_35])],[avatar_definition]) ).
fof(f829,plain,
( v4_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ spl27_35 ),
inference(avatar_component_clause,[],[f827]) ).
fof(f830,plain,
( ~ spl27_31
| ~ spl27_32
| ~ spl27_33
| ~ spl27_34
| spl27_35
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23 ),
inference(avatar_split_clause,[],[f809,f637,f633,f629,f625,f621,f827,f823,f819,f815,f811]) ).
fof(f835,plain,
( ~ m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_31 ),
inference(resolution,[],[f813,f313]) ).
fof(f841,plain,
( v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_31 ),
inference(forward_subsumption_resolution,[],[f835,f186]) ).
fof(f842,plain,
( ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_31 ),
inference(forward_subsumption_resolution,[],[f841,f185]) ).
fof(f843,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_31 ),
inference(forward_subsumption_resolution,[],[f842,f184]) ).
fof(f844,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_31 ),
inference(forward_subsumption_resolution,[],[f843,f183]) ).
fof(f845,plain,
( ~ l1_group_1(sK1)
| spl27_31 ),
inference(forward_subsumption_resolution,[],[f844,f182]) ).
fof(f846,plain,
( $false
| spl27_31 ),
inference(forward_subsumption_resolution,[],[f845,f181]) ).
fof(f847,plain,
spl27_31,
inference(avatar_contradiction_clause,[],[f846]) ).
fof(f853,plain,
( ~ m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_32 ),
inference(resolution,[],[f817,f314]) ).
fof(f855,plain,
( v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_32 ),
inference(forward_subsumption_resolution,[],[f853,f186]) ).
fof(f856,plain,
( ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_32 ),
inference(forward_subsumption_resolution,[],[f855,f185]) ).
fof(f857,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_32 ),
inference(forward_subsumption_resolution,[],[f856,f184]) ).
fof(f858,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_32 ),
inference(forward_subsumption_resolution,[],[f857,f183]) ).
fof(f859,plain,
( ~ l1_group_1(sK1)
| spl27_32 ),
inference(forward_subsumption_resolution,[],[f858,f182]) ).
fof(f860,plain,
( $false
| spl27_32 ),
inference(forward_subsumption_resolution,[],[f859,f181]) ).
fof(f861,plain,
spl27_32,
inference(avatar_contradiction_clause,[],[f860]) ).
fof(f876,plain,
( ~ m2_fraenkel(sK2,u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_33 ),
inference(resolution,[],[f821,f315]) ).
fof(f891,plain,
( v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_33 ),
inference(forward_subsumption_resolution,[],[f876,f186]) ).
fof(f892,plain,
( ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_33 ),
inference(forward_subsumption_resolution,[],[f891,f185]) ).
fof(f893,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_33 ),
inference(forward_subsumption_resolution,[],[f892,f184]) ).
fof(f894,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl27_33 ),
inference(forward_subsumption_resolution,[],[f893,f183]) ).
fof(f895,plain,
( ~ l1_group_1(sK1)
| spl27_33 ),
inference(forward_subsumption_resolution,[],[f894,f182]) ).
fof(f896,plain,
( $false
| spl27_33 ),
inference(forward_subsumption_resolution,[],[f895,f181]) ).
fof(f897,plain,
spl27_33,
inference(avatar_contradiction_clause,[],[f896]) ).
fof(f909,plain,
( ~ v1_relat_1(sK2)
| ~ v1_funct_1(sK2)
| spl27_34 ),
inference(resolution,[],[f825,f232]) ).
fof(f914,plain,
( ~ v1_relat_1(sK2)
| ~ spl27_22
| spl27_34 ),
inference(forward_subsumption_resolution,[],[f909,f634]) ).
fof(f923,plain,
( ! [X0,X1] : ~ m1_subset_1(sK2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ spl27_22
| spl27_34 ),
inference(resolution,[],[f914,f196]) ).
fof(f950,plain,
( ! [X0,X1] : ~ m2_relset_1(sK2,X0,X1)
| ~ spl27_22
| spl27_34 ),
inference(resolution,[],[f923,f240]) ).
fof(f985,plain,
( $false
| ~ spl27_19
| ~ spl27_22
| spl27_34 ),
inference(resolution,[],[f950,f622]) ).
fof(f991,plain,
( ~ spl27_19
| ~ spl27_22
| spl27_34 ),
inference(avatar_contradiction_clause,[],[f985]) ).
fof(f999,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ v1_funct_1(k2_funct_1(sK2))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_35 ),
inference(resolution,[],[f829,f311]) ).
fof(f1006,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_6(k2_funct_1(sK2),sK1,sK1)
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_34
| ~ spl27_35 ),
inference(forward_subsumption_resolution,[],[f999,f824]) ).
fof(f1009,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ m2_relset_1(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_32
| ~ spl27_34
| ~ spl27_35 ),
inference(forward_subsumption_resolution,[],[f1006,f816]) ).
fof(f1012,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_31
| ~ spl27_32
| ~ spl27_34
| ~ spl27_35 ),
inference(forward_subsumption_resolution,[],[f1009,f812]) ).
fof(f1015,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v1_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_31
| ~ spl27_32
| ~ spl27_34
| ~ spl27_35 ),
inference(forward_subsumption_resolution,[],[f1012,f185]) ).
fof(f1018,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_31
| ~ spl27_32
| ~ spl27_34
| ~ spl27_35 ),
inference(forward_subsumption_resolution,[],[f1015,f184]) ).
fof(f1021,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl27_31
| ~ spl27_32
| ~ spl27_34
| ~ spl27_35 ),
inference(forward_subsumption_resolution,[],[f1018,f183]) ).
fof(f1024,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ l1_group_1(sK1)
| ~ spl27_31
| ~ spl27_32
| ~ spl27_34
| ~ spl27_35 ),
inference(forward_subsumption_resolution,[],[f1021,f182]) ).
fof(f1051,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ v1_funct_2(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1))
| ~ spl27_31
| ~ spl27_32
| ~ spl27_34
| ~ spl27_35 ),
inference(forward_subsumption_resolution,[],[f1024,f181]) ).
fof(f1053,definition,
( spl27_49
<=> r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1)) ),
introduced(definition,[new_symbols(definition,[spl27_49])],[avatar_definition]) ).
fof(f1055,plain,
( r2_hidden(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ spl27_49 ),
inference(avatar_component_clause,[],[f1053]) ).
fof(f1056,plain,
( ~ spl27_33
| spl27_49
| ~ spl27_31
| ~ spl27_32
| ~ spl27_34
| ~ spl27_35 ),
inference(avatar_split_clause,[],[f1051,f827,f823,f815,f811,f1053,f819]) ).
fof(f1061,plain,
( m1_subset_1(k2_funct_1(sK2),k1_autgroup(sK1))
| ~ spl27_49 ),
inference(resolution,[],[f1055,f306]) ).
fof(f1064,plain,
( m2_fraenkel(k2_funct_1(sK2),u1_struct_0(sK1),u1_struct_0(sK1),k1_autgroup(sK1))
| ~ spl27_3
| ~ spl27_49 ),
inference(resolution,[],[f1061,f352]) ).
fof(f1066,plain,
( $false
| ~ spl27_3
| ~ spl27_49 ),
inference(forward_subsumption_resolution,[],[f1064,f187]) ).
fof(f1067,plain,
( ~ spl27_3
| ~ spl27_49 ),
inference(avatar_contradiction_clause,[],[f1066]) ).
cnf(s2,plain,
( spl27_2
| spl27_3 ),
inference(sat_conversion,[],[f353]) ).
cnf(s5,plain,
~ spl27_2,
inference(sat_conversion,[],[f366]) ).
cnf(s19,plain,
( spl27_2
| ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| spl27_23 ),
inference(sat_conversion,[],[f640]) ).
cnf(s22,plain,
spl27_19,
inference(sat_conversion,[],[f690]) ).
cnf(s23,plain,
spl27_20,
inference(sat_conversion,[],[f698]) ).
cnf(s26,plain,
spl27_21,
inference(sat_conversion,[],[f729]) ).
cnf(s28,plain,
( spl27_2
| spl27_22 ),
inference(sat_conversion,[],[f770]) ).
cnf(s29,plain,
( ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_31
| ~ spl27_32
| ~ spl27_33
| ~ spl27_34
| spl27_35 ),
inference(sat_conversion,[],[f830]) ).
cnf(s30,plain,
spl27_31,
inference(sat_conversion,[],[f847]) ).
cnf(s31,plain,
spl27_32,
inference(sat_conversion,[],[f861]) ).
cnf(s33,plain,
spl27_33,
inference(sat_conversion,[],[f897]) ).
cnf(s35,plain,
( ~ spl27_19
| ~ spl27_22
| spl27_34 ),
inference(sat_conversion,[],[f991]) ).
cnf(s39,plain,
( ~ spl27_31
| ~ spl27_32
| ~ spl27_33
| ~ spl27_34
| ~ spl27_35
| spl27_49 ),
inference(sat_conversion,[],[f1056]) ).
cnf(s40,plain,
( ~ spl27_3
| ~ spl27_49 ),
inference(sat_conversion,[],[f1067]) ).
cnf(s41,plain,
( ~ spl27_19
| ~ spl27_20
| ~ spl27_21
| ~ spl27_22
| ~ spl27_23
| ~ spl27_34
| spl27_35 ),
inference(rat,[],[s29,s33,s31,s30]) ).
cnf(s42,plain,
( spl27_2
| ~ spl27_22
| spl27_23 ),
inference(rat,[],[s19,s26,s23,s22]) ).
cnf(s47,plain,
spl27_22,
inference(rat,[],[s28,s5]) ).
cnf(s48,plain,
spl27_34,
inference(rat,[],[s35,s22,s47]) ).
cnf(s49,plain,
spl27_23,
inference(rat,[],[s42,s5,s47]) ).
cnf(s50,plain,
spl27_35,
inference(rat,[],[s41,s47,s48,s22,s23,s26,s49]) ).
cnf(s51,plain,
spl27_49,
inference(rat,[],[s39,s48,s30,s31,s33,s50]) ).
cnf(s53,plain,
~ spl27_3,
inference(rat,[],[s40,s51]) ).
cnf(s56,plain,
$false,
inference(rat,[],[s2,s53,s5]) ).
fof(f1068,plain,
$false,
inference(avatar_sat_refutation,[],[s56]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP620+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 10:09:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.30/1.32 % (3282310)Detected formulas, will run a generic FOF schedule.
% 3.30/1.32 % (3282316)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=3699542692:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.30/1.32 % (3282318)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3790294046:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.30/1.32 % (3282315)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=168369944:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.30/1.32 % (3282317)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=408592163:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.30/1.32 % (3282321)dis-21_1_sil=8000:lcm=predicate:random_seed=3550339874:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.30/1.32 % (3282319)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=231498936:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.30/1.32 % (3282320)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3588806363:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.30/1.32 % (3282318)Refutation not found, incomplete strategy
% 3.30/1.32 % (3282318)------------------------------
% 3.30/1.32 % (3282318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.32 % (3282318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.32 % (3282318)CaDiCaL version: 2.1.3
% 3.30/1.32 % (3282318)Termination reason: Refutation not found, incomplete strategy
% 3.30/1.32 % (3282318)Time elapsed: 0.001 s
% 3.30/1.32 % (3282318)Peak memory usage: 87 MB
% 3.30/1.32 % (3282318)Instructions burned: 1 (million)
% 3.30/1.32 % (3282319)Refutation not found, incomplete strategy
% 3.30/1.32 % (3282319)------------------------------
% 3.30/1.32 % (3282319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.32 % (3282319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.32 % (3282319)CaDiCaL version: 2.1.3
% 3.30/1.32 % (3282319)Termination reason: Refutation not found, incomplete strategy
% 3.30/1.32 % (3282319)Time elapsed: 0.003 s
% 3.30/1.32 % (3282319)Peak memory usage: 88 MB
% 3.30/1.32 % (3282319)Instructions burned: 3 (million)
% 3.30/1.32 % (3282320)First to succeed.
% 3.30/1.32 % (3282320)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3282310"
% 3.30/1.32 % (3282321)Instruction limit reached!
% 3.30/1.32 % (3282321)------------------------------
% 3.30/1.32 % (3282321)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.30/1.32 % (3282321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.30/1.32 % (3282321)CaDiCaL version: 2.1.3
% 3.30/1.32 % (3282321)Termination reason: Instruction limit
% 3.30/1.32 % (3282321)Termination phase: Saturation
% 3.30/1.32 % (3282321)Time elapsed: 0.080 s
% 3.30/1.32 % (3282321)Peak memory usage: 90 MB
% 3.30/1.32 % (3282321)Instructions burned: 130 (million)
% 3.30/1.32 % (3282318)------------------------------
% 3.30/1.32 % (3282318)------------------------------
% 3.30/1.32 % (3282319)------------------------------
% 3.30/1.32 % (3282319)------------------------------
% 3.30/1.32 % (3282329)lrs+10_1_sil=8000:sp=occurrence:random_seed=2335590356:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.30/1.32 % (3282320)Refutation found. Thanks to Tanya!
% 3.30/1.32 % SZS status Theorem for theBenchmark
% 3.30/1.32 % SZS output start Proof for theBenchmark
% See solution above
% 3.75/1.42 % (3282320)------------------------------
% 3.75/1.42 % (3282320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.75/1.42 % (3282320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.75/1.42 % (3282320)CaDiCaL version: 2.1.3
% 3.75/1.42 % (3282320)Termination reason: Refutation
% 3.75/1.42 % (3282320)Time elapsed: 0.031 s
% 3.75/1.42 % (3282320)Peak memory usage: 90 MB
% 3.75/1.42 % (3282320)Instructions burned: 43 (million)
% 3.75/1.42 % (3282320)------------------------------
% 3.75/1.42 % (3282320)------------------------------
% 3.75/1.42 % (3282310)Success in time 0.455 s
% 3.75/1.42 % Vampire exiting
%------------------------------------------------------------------------------