%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP647+1 : 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 : n013.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 10:15:16 AM UTC 2026
% Result : Theorem 6.87s 2.01s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 32
% Syntax : Number of formulae : 251 ( 47 unt; 11 def)
% Number of atoms : 1098 ( 192 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 1442 ( 595 ~; 674 |; 115 &)
% ( 26 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 23 ( 21 usr; 8 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 8 con; 0-4 aty)
% Number of variables : 285 ( 0 sgn 274 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_group_3(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X0))) )
=> ( X2 = k18_group_2(k1_group_3(X0),X1)
=> k2_latsubgr(X0,X2) = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t26_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_group_3(X0))
=> ! [X2] :
( ( ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X0))) )
=> ( X2 = k18_group_2(k1_group_3(X0),X1)
=> k2_latsubgr(X0,X2) = X1 ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f6,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(f9,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> ( ( ( X1 = k1_xboole_0
=> X0 = k1_xboole_0 )
=> ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) ) )
& ( X1 = k1_xboole_0
=> ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_funct_2) ).
fof(f10,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( X1 = k1_group_3(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( v1_group_1(X2)
& m1_group_2(X2,X0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_group_3) ).
fof(f11,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_funct_1(X1)
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
=> ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f12,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0))) )
=> ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( X2 = k2_latsubgr(X0,X1)
<=> u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_latsubgr) ).
fof(f17,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f23,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1) )
=> m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_funct_2) ).
fof(f24,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0))) )
=> ( v1_group_1(k2_latsubgr(X0,X1))
& m1_group_2(k2_latsubgr(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_latsubgr) ).
fof(f36,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(f45,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ~ v1_xboole_0(k1_group_3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_3) ).
fof(f47,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f48,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f60,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> k18_group_2(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k18_group_2) ).
fof(f61,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1) )
=> k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f62,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f63,axiom,
! [X0,X1] :
( m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
=> k6_setfam_1(X0,X1) = k1_setfam_1(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_setfam_1) ).
fof(f65,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f67,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( r2_hidden(X0,k1_relat_1(X1))
=> k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f68,axiom,
! [X0] : k1_setfam_1(k1_tarski(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_setfam_1) ).
fof(f70,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f81,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_latsubgr(X0,X2) != X1
& X2 = k18_group_2(k1_group_3(X0),X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X0))) )
& m1_subset_1(X1,k1_group_3(X0)) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f82,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k2_latsubgr(X0,X2) != X1
& X2 = k18_group_2(k1_group_3(X0),X1)
& ~ v1_xboole_0(X2)
& m1_subset_1(X2,k1_zfmisc_1(k1_group_3(X0))) )
& m1_subset_1(X1,k1_group_3(X0)) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f81]) ).
fof(f88,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f6]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ( ( ( v1_funct_2(X2,X0,X1)
<=> X0 = k4_relset_1(X0,X1,X2) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( v1_funct_2(X2,X0,X1)
<=> X2 = k1_xboole_0 )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f93]) ).
fof(f95,plain,
! [X0] :
( ! [X1] :
( X1 = k1_group_3(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( v1_group_1(X2)
& m1_group_2(X2,X0) ) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( X1 = k1_group_3(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> ( v1_group_1(X2)
& m1_group_2(X2,X0) ) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f95]) ).
fof(f97,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f98,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f97]) ).
fof(f99,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k2_latsubgr(X0,X1)
<=> u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f100,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( X2 = k2_latsubgr(X0,X1)
<=> u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f99]) ).
fof(f105,plain,
! [X0] :
( ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f106,plain,
! [X0] :
( ( v1_funct_1(k1_latsubgr(X0))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f105]) ).
fof(f107,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f23]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0,X1] :
( ( v1_group_1(k2_latsubgr(X0,X1))
& m1_group_2(k2_latsubgr(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0))) ),
inference(ennf_transformation,[],[f24]) ).
fof(f110,plain,
! [X0,X1] :
( ( v1_group_1(k2_latsubgr(X0,X1))
& m1_group_2(k2_latsubgr(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0))) ),
inference(flattening,[],[f109]) ).
fof(f118,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,[],[f36]) ).
fof(f122,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f123,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f122]) ).
fof(f133,plain,
! [X0,X1] :
( k18_group_2(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f60]) ).
fof(f134,plain,
! [X0,X1] :
( k18_group_2(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f133]) ).
fof(f135,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f61]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f135]) ).
fof(f137,plain,
! [X0,X1,X2] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f138,plain,
! [X0,X1] :
( k6_setfam_1(X0,X1) = k1_setfam_1(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0))) ),
inference(ennf_transformation,[],[f63]) ).
fof(f141,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f67]) ).
fof(f142,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f141]) ).
fof(f144,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f70]) ).
fof(f145,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f144]) ).
fof(f155,plain,
( sK1 != k2_latsubgr(sK0,sK2)
& sK2 = k18_group_2(k1_group_3(sK0),sK1)
& ~ v1_xboole_0(sK2)
& m1_subset_1(sK2,k1_zfmisc_1(k1_group_3(sK0)))
& m1_subset_1(sK1,k1_group_3(sK0))
& ~ v3_struct_0(sK0)
& v3_group_1(sK0)
& v4_group_1(sK0)
& l1_group_1(sK0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f82]) ).
fof(f156,plain,
! [X0,X1,X2] :
( ( ( ( ( v1_funct_2(X2,X0,X1)
| k4_relset_1(X0,X1,X2) != X0 )
& ( X0 = k4_relset_1(X0,X1,X2)
| ~ v1_funct_2(X2,X0,X1) ) )
| ( k1_xboole_0 != X0
& X1 = k1_xboole_0 ) )
& ( X0 = k1_xboole_0
| ( ( v1_funct_2(X2,X0,X1)
| k1_xboole_0 != X2 )
& ( X2 = k1_xboole_0
| ~ v1_funct_2(X2,X0,X1) ) )
| k1_xboole_0 != X1 ) )
| ~ m2_relset_1(X2,X0,X1) ),
inference(nnf_transformation,[],[f94]) ).
fof(f157,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_group_3(X0)
| ? [X2] :
( ( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ r2_hidden(X2,X1) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| ~ r2_hidden(X2,X1) ) )
| k1_group_3(X0) != X1 ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f158,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_group_3(X0)
| ? [X2] :
( ( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ r2_hidden(X2,X1) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| ~ r2_hidden(X2,X1) ) )
| k1_group_3(X0) != X1 ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f157]) ).
fof(f159,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_group_3(X0)
| ? [X2] :
( ( ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ r2_hidden(X2,X1) )
& ( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
& ( ( v1_group_1(X3)
& m1_group_2(X3,X0) )
| ~ r2_hidden(X3,X1) ) )
| k1_group_3(X0) != X1 ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f158]) ).
fof(f160,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_group_3(X0)
| ( ( ~ v1_group_1(sK3(X0,X1))
| ~ m1_group_2(sK3(X0,X1),X0)
| ~ r2_hidden(sK3(X0,X1),X1) )
& ( ( v1_group_1(sK3(X0,X1))
& m1_group_2(sK3(X0,X1),X0) )
| r2_hidden(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
& ( ( v1_group_1(X3)
& m1_group_2(X3,X0) )
| ~ r2_hidden(X3,X1) ) )
| k1_group_3(X0) != X1 ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f159]) ).
fof(f161,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_latsubgr(X0)
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& v1_group_1(X2)
& m1_group_2(X2,X0) ) )
& ( ! [X2] :
( k1_funct_1(X1,X2) = u1_struct_0(X2)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| k1_latsubgr(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f98]) ).
fof(f162,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_latsubgr(X0)
| ? [X2] :
( k1_funct_1(X1,X2) != u1_struct_0(X2)
& v1_group_1(X2)
& m1_group_2(X2,X0) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
| k1_latsubgr(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f161]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_latsubgr(X0)
| ( k1_funct_1(X1,sK4(X0,X1)) != u1_struct_0(sK4(X0,X1))
& v1_group_1(sK4(X0,X1))
& m1_group_2(sK4(X0,X1),X0) ) )
& ( ! [X3] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0) )
| k1_latsubgr(X0) != X1 ) )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(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))],[f162]) ).
fof(f164,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( X2 = k2_latsubgr(X0,X1)
| u1_struct_0(X2) != k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) )
& ( u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1))
| k2_latsubgr(X0,X1) != X2 ) )
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) )
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f100]) ).
fof(f179,plain,
! [X0,X1,X2] :
( ( m2_relset_1(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) )
& ( m1_relset_1(X2,X0,X1)
| ~ m2_relset_1(X2,X0,X1) ) ),
inference(nnf_transformation,[],[f65]) ).
fof(f180,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f181,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f182,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f183,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f155]) ).
fof(f184,plain,
m1_subset_1(sK1,k1_group_3(sK0)),
inference(cnf_transformation,[],[f155]) ).
fof(f185,plain,
m1_subset_1(sK2,k1_zfmisc_1(k1_group_3(sK0))),
inference(cnf_transformation,[],[f155]) ).
fof(f186,plain,
~ v1_xboole_0(sK2),
inference(cnf_transformation,[],[f155]) ).
fof(f187,plain,
sK2 = k18_group_2(k1_group_3(sK0),sK1),
inference(cnf_transformation,[],[f155]) ).
fof(f188,plain,
sK1 != k2_latsubgr(sK0,sK2),
inference(cnf_transformation,[],[f155]) ).
fof(f193,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f88]) ).
fof(f203,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| k1_xboole_0 = X1
| k4_relset_1(X0,X1,X2) = X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f207,plain,
! [X3,X0,X1] :
( m1_group_2(X3,X0)
| ~ r2_hidden(X3,X1)
| k1_group_3(X0) != X1
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f208,plain,
! [X3,X0,X1] :
( v1_group_1(X3)
| ~ r2_hidden(X3,X1)
| k1_group_3(X0) != X1
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f160]) ).
fof(f213,plain,
! [X3,X0,X1] :
( k1_funct_1(X1,X3) = u1_struct_0(X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| k1_latsubgr(X0) != X1
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f163]) ).
fof(f217,plain,
! [X2,X0,X1] :
( u1_struct_0(X2) = k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1))
| k2_latsubgr(X0,X1) != X2
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f218,plain,
! [X2,X0,X1] :
( u1_struct_0(X2) != k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1))
| k2_latsubgr(X0,X1) = X2
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f164]) ).
fof(f222,plain,
! [X0] :
( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f223,plain,
! [X0] :
( v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f224,plain,
! [X0] :
( v1_funct_1(k1_latsubgr(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f225,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f108]) ).
fof(f226,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v1_xboole_0(X1)
| m1_group_2(k2_latsubgr(X0,X1),X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f227,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v1_xboole_0(X1)
| v1_group_1(k2_latsubgr(X0,X1)) ),
inference(cnf_transformation,[],[f110]) ).
fof(f235,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,[],[f118]) ).
fof(f245,plain,
! [X0] :
( ~ v1_xboole_0(k1_group_3(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f247,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f47]) ).
fof(f248,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f48]) ).
fof(f270,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k18_group_2(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f134]) ).
fof(f271,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f136]) ).
fof(f272,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
inference(cnf_transformation,[],[f137]) ).
fof(f273,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_zfmisc_1(X0)))
| k6_setfam_1(X0,X1) = k1_setfam_1(X1) ),
inference(cnf_transformation,[],[f138]) ).
fof(f275,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f179]) ).
fof(f278,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_relat_1(X1))
| k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f279,plain,
! [X0] : k1_setfam_1(k1_tarski(X0)) = X0,
inference(cnf_transformation,[],[f68]) ).
fof(f281,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f145]) ).
fof(f295,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k1_group_3(X0))
| v1_group_1(X3)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f208]) ).
fof(f296,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k1_group_3(X0))
| m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f207]) ).
fof(f297,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f213]) ).
fof(f298,plain,
! [X0,X1] :
( k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) = u1_struct_0(k2_latsubgr(X0,X1))
| ~ v1_group_1(k2_latsubgr(X0,X1))
| ~ m1_group_2(k2_latsubgr(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f217]) ).
fof(f299,definition,
sF19 = k2_latsubgr(sK0,sK2),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f300,plain,
k2_latsubgr(sK0,sK2) = sF19,
inference(reorient_equations,[],[f299]) ).
fof(f301,plain,
sK1 != sF19,
inference(definition_folding,[],[f188,f300]) ).
fof(f302,definition,
sF20 = k1_group_3(sK0),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f303,plain,
k1_group_3(sK0) = sF20,
inference(reorient_equations,[],[f302]) ).
fof(f304,definition,
sF21 = k18_group_2(sF20,sK1),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f305,plain,
k18_group_2(sF20,sK1) = sF21,
inference(reorient_equations,[],[f304]) ).
fof(f306,plain,
sK2 = sF21,
inference(definition_folding,[],[f187,f305,f303]) ).
fof(f307,definition,
sF22 = k1_zfmisc_1(sF20),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f308,plain,
k1_zfmisc_1(sF20) = sF22,
inference(reorient_equations,[],[f307]) ).
fof(f309,plain,
m1_subset_1(sK2,sF22),
inference(definition_folding,[],[f185,f308,f303]) ).
fof(f310,plain,
m1_subset_1(sK1,sF20),
inference(definition_folding,[],[f184,f303]) ).
fof(f311,plain,
! [X0,X1] :
( k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) = u1_struct_0(k2_latsubgr(X0,X1))
| ~ m1_group_2(k2_latsubgr(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f298,f227]) ).
fof(f312,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f297,f224]) ).
fof(f313,plain,
sK2 = k18_group_2(sF20,sK1),
inference(forward_demodulation,[],[f305,f306]) ).
fof(f314,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0)))
| v1_xboole_0(X1)
| k6_setfam_1(u1_struct_0(X0),k2_funct_2(k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)),k1_latsubgr(X0),X1)) = u1_struct_0(k2_latsubgr(X0,X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f311,f226]) ).
fof(f315,plain,
! [X3,X0] :
( u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f312,f223]) ).
fof(f316,plain,
! [X3,X0] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f315,f222]) ).
fof(f317,plain,
( v1_xboole_0(sF20)
| k18_group_2(sF20,sK1) = k1_tarski(sK1) ),
inference(resolution,[],[f270,f310]) ).
fof(f328,plain,
( sK2 = k1_tarski(sK1)
| v1_xboole_0(sF20) ),
inference(forward_demodulation,[],[f317,f313]) ).
fof(f330,definition,
( spl23_3
<=> v1_xboole_0(sF20) ),
introduced(definition,[new_symbols(definition,[spl23_3])],[avatar_definition]) ).
fof(f331,plain,
( ~ v1_xboole_0(sF20)
| spl23_3 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f332,plain,
( v1_xboole_0(sF20)
| ~ spl23_3 ),
inference(avatar_component_clause,[],[f330]) ).
fof(f334,definition,
( spl23_4
<=> sK2 = k1_tarski(sK1) ),
introduced(definition,[new_symbols(definition,[spl23_4])],[avatar_definition]) ).
fof(f336,plain,
( sK2 = k1_tarski(sK1)
| ~ spl23_4 ),
inference(avatar_component_clause,[],[f334]) ).
fof(f337,plain,
( spl23_3
| spl23_4 ),
inference(avatar_split_clause,[],[f328,f334,f330]) ).
fof(f356,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| m1_group_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f296,f303]) ).
fof(f358,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| m1_group_2(X0,sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f356,f183]) ).
fof(f359,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| m1_group_2(X0,sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f358,f182]) ).
fof(f360,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| m1_group_2(X0,sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f359,f181]) ).
fof(f361,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| m1_group_2(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f360,f180]) ).
fof(f362,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| v1_xboole_0(X0)
| u1_struct_0(k2_latsubgr(sK0,X0)) = k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f314,f303]) ).
fof(f363,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| v1_xboole_0(X0)
| u1_struct_0(k2_latsubgr(sK0,X0)) = k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f362,f183]) ).
fof(f364,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| v1_xboole_0(X0)
| u1_struct_0(k2_latsubgr(sK0,X0)) = k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f363,f182]) ).
fof(f365,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| v1_xboole_0(X0)
| u1_struct_0(k2_latsubgr(sK0,X0)) = k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f364,f181]) ).
fof(f366,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF20))
| v1_xboole_0(X0)
| u1_struct_0(k2_latsubgr(sK0,X0)) = k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0)) ),
inference(forward_subsumption_resolution,[],[f365,f180]) ).
fof(f367,plain,
! [X0] :
( ~ m1_subset_1(X0,sF22)
| v1_xboole_0(X0)
| u1_struct_0(k2_latsubgr(sK0,X0)) = k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0)) ),
inference(forward_demodulation,[],[f366,f308]) ).
fof(f371,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| v1_group_1(X0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f295,f303]) ).
fof(f373,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| v1_group_1(X0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f371,f183]) ).
fof(f374,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| v1_group_1(X0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f373,f182]) ).
fof(f375,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| v1_group_1(X0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f374,f181]) ).
fof(f376,plain,
! [X0] :
( ~ r2_hidden(X0,sF20)
| v1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f375,f180]) ).
fof(f400,plain,
( v1_xboole_0(sK2)
| u1_struct_0(k2_latsubgr(sK0,sK2)) = k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),sK2)) ),
inference(resolution,[],[f367,f309]) ).
fof(f401,plain,
u1_struct_0(k2_latsubgr(sK0,sK2)) = k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),sK2)),
inference(forward_subsumption_resolution,[],[f400,f186]) ).
fof(f402,plain,
u1_struct_0(sF19) = k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),sK2)),
inference(forward_demodulation,[],[f401,f300]) ).
fof(f403,plain,
( v1_funct_2(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f223,f303]) ).
fof(f404,plain,
( v1_funct_2(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f403,f183]) ).
fof(f405,plain,
( v1_funct_2(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f404,f182]) ).
fof(f406,plain,
( v1_funct_2(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f405,f181]) ).
fof(f407,plain,
v1_funct_2(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f406,f180]) ).
fof(f417,plain,
( m2_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f222,f303]) ).
fof(f418,plain,
( m2_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f417,f183]) ).
fof(f419,plain,
( m2_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f418,f182]) ).
fof(f420,plain,
( m2_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f419,f181]) ).
fof(f421,plain,
m2_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f420,f180]) ).
fof(f424,plain,
( r2_hidden(sK1,sF20)
| v1_xboole_0(sF20) ),
inference(resolution,[],[f281,f310]) ).
fof(f428,plain,
( ~ v1_xboole_0(sF20)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f245,f303]) ).
fof(f429,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f428,f332]) ).
fof(f430,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f429,f183]) ).
fof(f431,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f430,f182]) ).
fof(f432,plain,
( ~ l1_group_1(sK0)
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f431,f181]) ).
fof(f433,plain,
( $false
| ~ spl23_3 ),
inference(forward_subsumption_resolution,[],[f432,f180]) ).
fof(f434,plain,
~ spl23_3,
inference(avatar_contradiction_clause,[],[f433]) ).
fof(f436,plain,
( r2_hidden(sK1,sF20)
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f424,f331]) ).
fof(f454,plain,
( v1_group_1(sK1)
| spl23_3 ),
inference(resolution,[],[f436,f376]) ).
fof(f455,plain,
( m1_group_2(sK1,sK0)
| spl23_3 ),
inference(resolution,[],[f436,f361]) ).
fof(f456,plain,
! [X0,X1] :
( u1_struct_0(X0) != k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X1))
| k2_latsubgr(sK0,X1) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF20))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f218,f303]) ).
fof(f457,plain,
! [X0,X1] :
( u1_struct_0(X0) != k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X1))
| k2_latsubgr(sK0,X1) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF20))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f456,f183]) ).
fof(f458,plain,
! [X0,X1] :
( u1_struct_0(X0) != k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X1))
| k2_latsubgr(sK0,X1) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF20))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f457,f182]) ).
fof(f459,plain,
! [X0,X1] :
( u1_struct_0(X0) != k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X1))
| k2_latsubgr(sK0,X1) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF20))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f458,f181]) ).
fof(f460,plain,
! [X0,X1] :
( u1_struct_0(X0) != k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X1))
| k2_latsubgr(sK0,X1) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(sF20)) ),
inference(forward_subsumption_resolution,[],[f459,f180]) ).
fof(f461,plain,
! [X0,X1] :
( u1_struct_0(X0) != k6_setfam_1(u1_struct_0(sK0),k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X1))
| ~ m1_subset_1(X1,sF22)
| k2_latsubgr(sK0,X1) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v1_xboole_0(X1) ),
inference(forward_demodulation,[],[f460,f308]) ).
fof(f462,plain,
! [X0] :
( u1_struct_0(X0) != u1_struct_0(sF19)
| ~ m1_subset_1(sK2,sF22)
| k2_latsubgr(sK0,sK2) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v1_xboole_0(sK2) ),
inference(superposition,[],[f461,f402]) ).
fof(f463,plain,
! [X0] :
( u1_struct_0(X0) != u1_struct_0(sF19)
| k2_latsubgr(sK0,sK2) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v1_xboole_0(sK2) ),
inference(forward_subsumption_resolution,[],[f462,f309]) ).
fof(f464,plain,
! [X0] :
( u1_struct_0(X0) != u1_struct_0(sF19)
| k2_latsubgr(sK0,sK2) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f463,f186]) ).
fof(f465,plain,
! [X0] :
( u1_struct_0(X0) != u1_struct_0(sF19)
| sF19 = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(forward_demodulation,[],[f464,f300]) ).
fof(f471,plain,
! [X0] :
( ~ v1_funct_1(k1_latsubgr(sK0))
| k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0) = k9_relat_1(k1_latsubgr(sK0),X0)
| ~ m1_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f271,f407]) ).
fof(f473,definition,
( spl23_10
<=> m1_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl23_10])],[avatar_definition]) ).
fof(f474,plain,
( m1_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl23_10 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f475,plain,
( ~ m1_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| spl23_10 ),
inference(avatar_component_clause,[],[f473]) ).
fof(f477,definition,
( spl23_11
<=> ! [X0] : k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0) = k9_relat_1(k1_latsubgr(sK0),X0) ),
introduced(definition,[new_symbols(definition,[spl23_11])],[avatar_definition]) ).
fof(f478,plain,
( ! [X0] : k2_funct_2(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0) = k9_relat_1(k1_latsubgr(sK0),X0)
| ~ spl23_11 ),
inference(avatar_component_clause,[],[f477]) ).
fof(f480,definition,
( spl23_12
<=> v1_funct_1(k1_latsubgr(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_12])],[avatar_definition]) ).
fof(f481,plain,
( v1_funct_1(k1_latsubgr(sK0))
| ~ spl23_12 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f482,plain,
( ~ v1_funct_1(k1_latsubgr(sK0))
| spl23_12 ),
inference(avatar_component_clause,[],[f480]) ).
fof(f483,plain,
( ~ spl23_10
| spl23_11
| ~ spl23_12 ),
inference(avatar_split_clause,[],[f471,f480,f477,f473]) ).
fof(f489,plain,
( ~ v1_group_1(sK1)
| u1_struct_0(sK1) = k1_funct_1(k1_latsubgr(sK0),sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_3 ),
inference(resolution,[],[f455,f316]) ).
fof(f490,plain,
( u1_struct_0(sK1) = k1_funct_1(k1_latsubgr(sK0),sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f489,f454]) ).
fof(f491,plain,
( u1_struct_0(sK1) = k1_funct_1(k1_latsubgr(sK0),sK1)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f490,f183]) ).
fof(f492,plain,
( u1_struct_0(sK1) = k1_funct_1(k1_latsubgr(sK0),sK1)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f491,f182]) ).
fof(f493,plain,
( u1_struct_0(sK1) = k1_funct_1(k1_latsubgr(sK0),sK1)
| ~ l1_group_1(sK0)
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f492,f181]) ).
fof(f494,plain,
( u1_struct_0(sK1) = k1_funct_1(k1_latsubgr(sK0),sK1)
| spl23_3 ),
inference(forward_subsumption_resolution,[],[f493,f180]) ).
fof(f496,plain,
m1_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0))),
inference(resolution,[],[f275,f421]) ).
fof(f497,plain,
( $false
| spl23_10 ),
inference(forward_subsumption_resolution,[],[f496,f475]) ).
fof(f498,plain,
spl23_10,
inference(avatar_contradiction_clause,[],[f497]) ).
fof(f499,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_12 ),
inference(resolution,[],[f482,f224]) ).
fof(f500,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_12 ),
inference(forward_subsumption_resolution,[],[f499,f183]) ).
fof(f501,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl23_12 ),
inference(forward_subsumption_resolution,[],[f500,f182]) ).
fof(f502,plain,
( ~ l1_group_1(sK0)
| spl23_12 ),
inference(forward_subsumption_resolution,[],[f501,f181]) ).
fof(f503,plain,
( $false
| spl23_12 ),
inference(forward_subsumption_resolution,[],[f502,f180]) ).
fof(f504,plain,
spl23_12,
inference(avatar_contradiction_clause,[],[f503]) ).
fof(f505,plain,
( u1_struct_0(sF19) = k6_setfam_1(u1_struct_0(sK0),k9_relat_1(k1_latsubgr(sK0),sK2))
| ~ spl23_11 ),
inference(superposition,[],[f402,f478]) ).
fof(f507,plain,
( k4_relset_1(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) = k1_relat_1(k1_latsubgr(sK0))
| ~ spl23_10 ),
inference(resolution,[],[f272,f474]) ).
fof(f526,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
| ~ v1_funct_1(k1_latsubgr(sK0))
| ~ v1_funct_2(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl23_11 ),
inference(superposition,[],[f225,f478]) ).
fof(f528,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
| ~ v1_funct_2(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m1_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_subsumption_resolution,[],[f526,f481]) ).
fof(f531,plain,
( ! [X0] :
( m1_subset_1(k9_relat_1(k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
| ~ m1_relset_1(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_subsumption_resolution,[],[f528,f407]) ).
fof(f532,plain,
( ! [X0] : m1_subset_1(k9_relat_1(k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(forward_subsumption_resolution,[],[f531,f474]) ).
fof(f534,plain,
( ! [X0] : k6_setfam_1(u1_struct_0(sK0),k9_relat_1(k1_latsubgr(sK0),X0)) = k1_setfam_1(k9_relat_1(k1_latsubgr(sK0),X0))
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(resolution,[],[f532,f273]) ).
fof(f552,plain,
( ~ v1_funct_2(k1_latsubgr(sK0),sF20,k1_zfmisc_1(u1_struct_0(sK0)))
| k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0))
| sF20 = k4_relset_1(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) ),
inference(resolution,[],[f203,f421]) ).
fof(f553,plain,
( k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0))
| sF20 = k4_relset_1(sF20,k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) ),
inference(forward_subsumption_resolution,[],[f552,f407]) ).
fof(f555,plain,
( sF20 = k1_relat_1(k1_latsubgr(sK0))
| k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0))
| ~ spl23_10 ),
inference(forward_demodulation,[],[f553,f507]) ).
fof(f557,definition,
( spl23_13
<=> k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_13])],[avatar_definition]) ).
fof(f559,plain,
( k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0))
| ~ spl23_13 ),
inference(avatar_component_clause,[],[f557]) ).
fof(f561,definition,
( spl23_14
<=> sF20 = k1_relat_1(k1_latsubgr(sK0)) ),
introduced(definition,[new_symbols(definition,[spl23_14])],[avatar_definition]) ).
fof(f563,plain,
( sF20 = k1_relat_1(k1_latsubgr(sK0))
| ~ spl23_14 ),
inference(avatar_component_clause,[],[f561]) ).
fof(f564,plain,
( spl23_13
| spl23_14
| ~ spl23_10 ),
inference(avatar_split_clause,[],[f555,f473,f561,f557]) ).
fof(f747,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,X1,X2)
| v1_relat_1(X0) ),
inference(resolution,[],[f235,f193]) ).
fof(f754,plain,
v1_relat_1(k1_latsubgr(sK0)),
inference(resolution,[],[f747,f421]) ).
fof(f787,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl23_13 ),
inference(superposition,[],[f247,f559]) ).
fof(f788,plain,
( $false
| ~ spl23_13 ),
inference(forward_subsumption_resolution,[],[f787,f248]) ).
fof(f789,plain,
~ spl23_13,
inference(avatar_contradiction_clause,[],[f788]) ).
fof(f795,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| k9_relat_1(k1_latsubgr(sK0),k1_tarski(X0)) = k1_tarski(k1_funct_1(k1_latsubgr(sK0),X0))
| ~ v1_relat_1(k1_latsubgr(sK0))
| ~ v1_funct_1(k1_latsubgr(sK0)) )
| ~ spl23_14 ),
inference(superposition,[],[f278,f563]) ).
fof(f796,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| k9_relat_1(k1_latsubgr(sK0),k1_tarski(X0)) = k1_tarski(k1_funct_1(k1_latsubgr(sK0),X0))
| ~ v1_funct_1(k1_latsubgr(sK0)) )
| ~ spl23_14 ),
inference(forward_subsumption_resolution,[],[f795,f754]) ).
fof(f797,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF20)
| k9_relat_1(k1_latsubgr(sK0),k1_tarski(X0)) = k1_tarski(k1_funct_1(k1_latsubgr(sK0),X0)) )
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_subsumption_resolution,[],[f796,f481]) ).
fof(f837,plain,
( k9_relat_1(k1_latsubgr(sK0),k1_tarski(sK1)) = k1_tarski(k1_funct_1(k1_latsubgr(sK0),sK1))
| spl23_3
| ~ spl23_12
| ~ spl23_14 ),
inference(resolution,[],[f797,f436]) ).
fof(f840,plain,
( k9_relat_1(k1_latsubgr(sK0),k1_tarski(sK1)) = k1_tarski(u1_struct_0(sK1))
| spl23_3
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_demodulation,[],[f837,f494]) ).
fof(f841,plain,
( k9_relat_1(k1_latsubgr(sK0),sK2) = k1_tarski(u1_struct_0(sK1))
| spl23_3
| ~ spl23_4
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_demodulation,[],[f840,f336]) ).
fof(f1020,plain,
( u1_struct_0(sF19) = k1_setfam_1(k9_relat_1(k1_latsubgr(sK0),sK2))
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12 ),
inference(superposition,[],[f505,f534]) ).
fof(f1024,plain,
( u1_struct_0(sF19) = k1_setfam_1(k1_tarski(u1_struct_0(sK1)))
| spl23_3
| ~ spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_demodulation,[],[f1020,f841]) ).
fof(f1028,plain,
( u1_struct_0(sF19) = u1_struct_0(sK1)
| spl23_3
| ~ spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_demodulation,[],[f1024,f279]) ).
fof(f1033,plain,
( ! [X0] :
( u1_struct_0(X0) != u1_struct_0(sK1)
| sF19 = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) )
| spl23_3
| ~ spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(superposition,[],[f465,f1028]) ).
fof(f1051,plain,
( sK1 = sF19
| ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| spl23_3
| ~ spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(equality_resolution,[],[f1033]) ).
fof(f1052,plain,
( ~ v1_group_1(sK1)
| ~ m1_group_2(sK1,sK0)
| spl23_3
| ~ spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_subsumption_resolution,[],[f1051,f301]) ).
fof(f1053,plain,
( ~ m1_group_2(sK1,sK0)
| spl23_3
| ~ spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_subsumption_resolution,[],[f1052,f454]) ).
fof(f1054,plain,
( $false
| spl23_3
| ~ spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(forward_subsumption_resolution,[],[f1053,f455]) ).
fof(f1055,plain,
( spl23_3
| ~ spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(avatar_contradiction_clause,[],[f1054]) ).
cnf(s2,plain,
( spl23_3
| spl23_4 ),
inference(sat_conversion,[],[f337]) ).
cnf(s5,plain,
~ spl23_3,
inference(sat_conversion,[],[f434]) ).
cnf(s8,plain,
( ~ spl23_10
| spl23_11
| ~ spl23_12 ),
inference(sat_conversion,[],[f483]) ).
cnf(s9,plain,
spl23_10,
inference(sat_conversion,[],[f498]) ).
cnf(s10,plain,
spl23_12,
inference(sat_conversion,[],[f504]) ).
cnf(s11,plain,
( ~ spl23_10
| spl23_13
| spl23_14 ),
inference(sat_conversion,[],[f564]) ).
cnf(s14,plain,
~ spl23_13,
inference(sat_conversion,[],[f789]) ).
cnf(s28,plain,
( spl23_3
| ~ spl23_4
| ~ spl23_10
| ~ spl23_11
| ~ spl23_12
| ~ spl23_14 ),
inference(sat_conversion,[],[f1055]) ).
cnf(s31,plain,
( ~ spl23_10
| spl23_14 ),
inference(rat,[],[s11,s14]) ).
cnf(s32,plain,
spl23_14,
inference(rat,[],[s31,s9]) ).
cnf(s33,plain,
spl23_11,
inference(rat,[],[s8,s10,s9]) ).
cnf(s34,plain,
~ spl23_4,
inference(rat,[],[s28,s32,s10,s33,s9,s5]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s2,s34,s5]) ).
fof(f1056,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP647+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.36 % Computer : n013.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Sun Sep 27 10:26:06 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 Running first-order theorem proving
% 0.12/0.38 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
% 6.87/2.01 % (17121)Detected formulas, will run a generic FOF schedule.
% 6.87/2.01 % (17129)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3624072789:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 6.87/2.01 % (17129)Refutation not found, incomplete strategy
% 6.87/2.01 % (17129)------------------------------
% 6.87/2.01 % (17129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17129)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17129)Termination reason: Refutation not found, incomplete strategy
% 6.87/2.01 % (17129)Time elapsed: 0.002 s
% 6.87/2.01 % (17129)Peak memory usage: 88 MB
% 6.87/2.01 % (17129)Instructions burned: 2 (million)
% 6.87/2.01 % (17128)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=55636870:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 6.87/2.01 % (17132)dis-21_1_sil=8000:lcm=predicate:random_seed=3324185645: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)
% 6.87/2.01 % (17130)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2429330833:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 6.87/2.01 % (17127)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=3697562331:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 6.87/2.01 % (17126)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=1613340812:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 6.87/2.01 % (17131)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3964036688:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 6.87/2.01 % (17130)Instruction limit reached!
% 6.87/2.01 % (17130)------------------------------
% 6.87/2.01 % (17130)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17130)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17130)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17130)Termination reason: Instruction limit
% 6.87/2.01 % (17130)Termination phase: Saturation
% 6.87/2.01 % (17130)Time elapsed: 0.067 s
% 6.87/2.01 % (17130)Peak memory usage: 88 MB
% 6.87/2.01 % (17130)Instructions burned: 120 (million)
% 6.87/2.01 % (17132)Instruction limit reached!
% 6.87/2.01 % (17132)------------------------------
% 6.87/2.01 % (17132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17132)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17132)Termination reason: Instruction limit
% 6.87/2.01 % (17132)Termination phase: Saturation
% 6.87/2.01 % (17132)Time elapsed: 0.077 s
% 6.87/2.01 % (17132)Peak memory usage: 91 MB
% 6.87/2.01 % (17132)Instructions burned: 135 (million)
% 6.87/2.01 % (17129)------------------------------
% 6.87/2.01 % (17129)------------------------------
% 6.87/2.01 % (17131)Instruction limit reached!
% 6.87/2.01 % (17131)------------------------------
% 6.87/2.01 % (17131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17131)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17131)Termination reason: Instruction limit
% 6.87/2.01 % (17131)Termination phase: Saturation
% 6.87/2.01 % (17131)Time elapsed: 0.109 s
% 6.87/2.01 % (17131)Peak memory usage: 90 MB
% 6.87/2.01 % (17131)Instructions burned: 141 (million)
% 6.87/2.01 % (17140)lrs+10_1_sil=8000:sp=occurrence:random_seed=3851427889:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 6.87/2.01 % (17141)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2496626825:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 6.87/2.01 % (17142)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1033696780:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 6.87/2.01 % (17143)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=4107358994:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 6.87/2.01 % (17141)Instruction limit reached!
% 6.87/2.01 % (17141)------------------------------
% 6.87/2.01 % (17141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17141)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17141)Termination reason: Instruction limit
% 6.87/2.01 % (17141)Termination phase: Saturation
% 6.87/2.01 % (17141)Time elapsed: 0.088 s
% 6.87/2.01 % (17141)Peak memory usage: 89 MB
% 6.87/2.01 % (17141)Instructions burned: 158 (million)
% 6.87/2.01 % (17142)Instruction limit reached!
% 6.87/2.01 % (17142)------------------------------
% 6.87/2.01 % (17142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17142)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17142)Termination reason: Instruction limit
% 6.87/2.01 % (17142)Termination phase: Saturation
% 6.87/2.01 % (17142)Time elapsed: 0.119 s
% 6.87/2.01 % (17142)Peak memory usage: 91 MB
% 6.87/2.01 % (17142)Instructions burned: 327 (million)
% 6.87/2.01 % (17140)Instruction limit reached!
% 6.87/2.01 % (17140)------------------------------
% 6.87/2.01 % (17140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17140)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17140)Termination reason: Instruction limit
% 6.87/2.01 % (17140)Termination phase: Saturation
% 6.87/2.01 % (17140)Time elapsed: 0.192 s
% 6.87/2.01 % (17140)Peak memory usage: 93 MB
% 6.87/2.01 % (17140)Instructions burned: 286 (million)
% 6.87/2.01 % (17143)Instruction limit reached!
% 6.87/2.01 % (17143)------------------------------
% 6.87/2.01 % (17143)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17143)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17143)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17143)Termination reason: Instruction limit
% 6.87/2.01 % (17143)Termination phase: Saturation
% 6.87/2.01 % (17143)Time elapsed: 0.150 s
% 6.87/2.01 % (17143)Peak memory usage: 93 MB
% 6.87/2.01 % (17143)Instructions burned: 248 (million)
% 6.87/2.01 % (17148)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1742881264:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 6.87/2.01 % (17149)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=404949389:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 6.87/2.01 % (17150)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3241515504:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 6.87/2.01 % (17151)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=918118497:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 6.87/2.01 % (17148)Instruction limit reached!
% 6.87/2.01 % (17148)------------------------------
% 6.87/2.01 % (17148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17148)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17148)Termination reason: Instruction limit
% 6.87/2.01 % (17148)Termination phase: Saturation
% 6.87/2.01 % (17148)Time elapsed: 0.183 s
% 6.87/2.01 % (17148)Peak memory usage: 90 MB
% 6.87/2.01 % (17148)Instructions burned: 295 (million)
% 6.87/2.01 % (17150)Instruction limit reached!
% 6.87/2.01 % (17150)------------------------------
% 6.87/2.01 % (17150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17150)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17150)Termination reason: Instruction limit
% 6.87/2.01 % (17150)Termination phase: Saturation
% 6.87/2.01 % (17150)Time elapsed: 0.079 s
% 6.87/2.01 % (17150)Peak memory usage: 90 MB
% 6.87/2.01 % (17150)Instructions burned: 113 (million)
% 6.87/2.01 % (17151)Instruction limit reached!
% 6.87/2.01 % (17151)------------------------------
% 6.87/2.01 % (17151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17151)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17151)Termination reason: Instruction limit
% 6.87/2.01 % (17151)Termination phase: Saturation
% 6.87/2.01 % (17151)Time elapsed: 0.068 s
% 6.87/2.01 % (17151)Peak memory usage: 89 MB
% 6.87/2.01 % (17151)Instructions burned: 127 (million)
% 6.87/2.01 % (17126)First to succeed.
% 6.87/2.01 % (17126)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-17121"
% 6.87/2.01 % (17156)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=279261571:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 6.87/2.01 % (17157)lrs+10_1_sil=8000:sp=occurrence:random_seed=3336295207:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 6.87/2.01 % (17158)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=901352990:i=437:sd=1:aac=none:ss=included_2991 on theBenchmark for (2991ds/437Mi)
% 6.87/2.01 % (17127)Also succeeded, but the first one will report.
% 6.87/2.01 % (17156)Instruction limit reached!
% 6.87/2.01 % (17156)------------------------------
% 6.87/2.01 % (17156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.87/2.01 % (17156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.87/2.01 % (17156)CaDiCaL version: 2.1.3
% 6.87/2.01 % (17156)Termination reason: Instruction limit
% 6.87/2.01 % (17156)Termination phase: Saturation
% 6.87/2.01 % (17156)Time elapsed: 0.060 s
% 6.87/2.01 % (17156)Peak memory usage: 89 MB
% 6.87/2.01 % (17156)Instructions burned: 115 (million)
% 6.87/2.01 % (17149)Also succeeded, but the first one will report.
% 6.87/2.01 % (17126)Refutation found. Thanks to Tanya!
% 6.87/2.01 % SZS status Theorem for theBenchmark
% 6.87/2.01 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/2.20 % (17126)------------------------------
% 0.16/2.20 % (17126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/2.20 % (17126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/2.20 % (17126)CaDiCaL version: 2.1.3
% 0.16/2.20 % (17126)Termination reason: Refutation
% 0.16/2.20 % (17126)Time elapsed: 0.744 s
% 0.16/2.20 % (17126)Peak memory usage: 130 MB
% 0.16/2.20 % (17126)Instructions burned: 1097 (million)
% 0.16/2.20 % (17126)------------------------------
% 0.16/2.20 % (17126)------------------------------
% 0.16/2.20 % (17121)Success in time 1.184 s
% 0.16/2.20 % Vampire exiting
%------------------------------------------------------------------------------