%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP646+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 : n018.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 9.34s 2.17s
% Output : Refutation 9.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 43
% Syntax : Number of formulae : 347 ( 46 unt; 16 def)
% Number of atoms : 1520 ( 160 equ)
% Maximal formula atoms : 18 ( 4 avg)
% Number of connectives : 2021 ( 848 ~; 945 |; 152 &)
% ( 39 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 34 ( 32 usr; 17 prp; 0-3 aty)
% Number of functors : 20 ( 20 usr; 3 con; 0-4 aty)
% Number of variables : 375 ( 0 sgn 365 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [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))) )
=> ( r2_hidden(k5_group_2(X0),X1)
=> r1_group_2(X0,k2_latsubgr(X0,X1),k5_group_2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [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))) )
=> ( r2_hidden(k5_group_2(X0),X1)
=> r1_group_2(X0,k2_latsubgr(X0,X1),k5_group_2(X0)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,axiom,
! [X0,X1] :
( X0 = X1
<=> ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
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(f13,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
=> ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_group_2) ).
fof(f14,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( v1_group_1(X1)
& m1_group_2(X1,X0) )
=> ( X1 = k5_group_2(X0)
<=> u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d7_group_2) ).
fof(f19,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(f25,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(f26,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f27,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(f30,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( v1_group_1(k5_group_2(X0))
& m1_group_2(k5_group_2(X0),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_2) ).
fof(f31,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_domain_1) ).
fof(f35,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f37,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f52,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f53,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f54,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f67,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(f69,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(f72,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(f73,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& v1_group_1(X1)
& m1_group_2(X1,X0)
& v1_group_1(X2)
& m1_group_2(X2,X0) )
=> ( r1_group_2(X0,X1,X2)
<=> X1 = X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f78,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(f80,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ( X1 != k1_xboole_0
=> ! [X4] :
( ? [X5] :
( r2_hidden(X5,X0)
& r2_hidden(X5,X2)
& X4 = k1_funct_1(X3,X5) )
=> r2_hidden(X4,k9_relat_1(X3,X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t43_funct_2) ).
fof(f81,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> r1_tarski(k1_setfam_1(X1),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_setfam_1) ).
fof(f85,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> m1_group_2(k5_group_2(X0),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t77_group_2) ).
fof(f86,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f89,plain,
? [X0] :
( ? [X1] :
( ~ r1_group_2(X0,k2_latsubgr(X0,X1),k5_group_2(X0))
& r2_hidden(k5_group_2(X0),X1)
& ~ 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,[],[f2]) ).
fof(f90,plain,
? [X0] :
( ? [X1] :
( ~ r1_group_2(X0,k2_latsubgr(X0,X1),k5_group_2(X0))
& r2_hidden(k5_group_2(X0),X1)
& ~ 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,[],[f89]) ).
fof(f101,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(f102,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,[],[f101]) ).
fof(f103,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(f104,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,[],[f103]) ).
fof(f105,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(f106,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,[],[f105]) ).
fof(f107,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f108,plain,
! [X0] :
( ! [X1] :
( ( m1_group_2(X1,X0)
<=> ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f107]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_group_2(X0)
<=> u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ( X1 = k5_group_2(X0)
<=> u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f109]) ).
fof(f115,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,[],[f19]) ).
fof(f116,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,[],[f115]) ).
fof(f117,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,[],[f25]) ).
fof(f118,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,[],[f117]) ).
fof(f119,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f120,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f119]) ).
fof(f121,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,[],[f27]) ).
fof(f122,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,[],[f121]) ).
fof(f123,plain,
! [X0] :
( ( v1_group_1(k5_group_2(X0))
& m1_group_2(k5_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f124,plain,
! [X0] :
( ( v1_group_1(k5_group_2(X0))
& m1_group_2(k5_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f126,plain,
! [X0,X1] :
( m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0))
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f125]) ).
fof(f130,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f131]) ).
fof(f143,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f144,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f143]) ).
fof(f154,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,[],[f67]) ).
fof(f155,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,[],[f154]) ).
fof(f158,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,[],[f69]) ).
fof(f163,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f164,plain,
! [X0,X1,X2] :
( ( r1_group_2(X0,X1,X2)
<=> X1 = X2 )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(flattening,[],[f163]) ).
fof(f170,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f171,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ! [X5] :
( ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X3,X5) != X4 ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f80]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ! [X5] :
( ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X3,X5) != X4 ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f172]) ).
fof(f174,plain,
! [X0,X1] :
( r1_tarski(k1_setfam_1(X1),X0)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( m1_group_2(k5_group_2(X0),X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( m1_group_2(k5_group_2(X0),X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f179]) ).
fof(f181,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f86]) ).
fof(f183,plain,
( ~ r1_group_2(sK0,k2_latsubgr(sK0,sK1),k5_group_2(sK0))
& r2_hidden(k5_group_2(sK0),sK1)
& ~ v1_xboole_0(sK1)
& m1_subset_1(sK1,k1_zfmisc_1(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]),skolemize(X0,sK0),skolemize(X1,sK1)],[f90]) ).
fof(f184,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(nnf_transformation,[],[f9]) ).
fof(f185,plain,
! [X0,X1] :
( ( X0 = X1
| ~ r1_tarski(X0,X1)
| ~ r1_tarski(X1,X0) )
& ( ( r1_tarski(X0,X1)
& r1_tarski(X1,X0) )
| X0 != X1 ) ),
inference(flattening,[],[f184]) ).
fof(f186,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,[],[f102]) ).
fof(f187,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,[],[f186]) ).
fof(f188,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,[],[f187]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ( X1 = k1_group_3(X0)
| ( ( ~ v1_group_1(sK2(X0,X1))
| ~ m1_group_2(sK2(X0,X1),X0)
| ~ r2_hidden(sK2(X0,X1),X1) )
& ( ( v1_group_1(sK2(X0,X1))
& m1_group_2(sK2(X0,X1),X0) )
| r2_hidden(sK2(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,[sK2]),skolemize(X2,sK2(X0,X1))],[f188]) ).
fof(f190,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,[],[f104]) ).
fof(f191,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,[],[f190]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k1_latsubgr(X0)
| ( k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
& v1_group_1(sK3(X0,X1))
& m1_group_2(sK3(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,[sK3]),skolemize(X2,sK3(X0,X1))],[f191]) ).
fof(f193,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,[],[f106]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f108]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( ( ( m1_group_2(X1,X0)
| ~ r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| u1_group_1(X1) != k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
& ( ( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
& u1_group_1(X1) = k1_realset1(u1_group_1(X0),u1_struct_0(X1)) )
| ~ m1_group_2(X1,X0) ) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f194]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( ( ( X1 = k5_group_2(X0)
| u1_struct_0(X1) != k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) )
& ( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
| k5_group_2(X0) != X1 ) )
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f110]) ).
fof(f213,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,[],[f72]) ).
fof(f214,plain,
! [X0,X1,X2] :
( ( ( r1_group_2(X0,X1,X2)
| X1 != X2 )
& ( X1 = X2
| ~ r1_group_2(X0,X1,X2) ) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(nnf_transformation,[],[f164]) ).
fof(f216,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f183]) ).
fof(f217,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f183]) ).
fof(f218,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f183]) ).
fof(f219,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f183]) ).
fof(f220,plain,
m1_subset_1(sK1,k1_zfmisc_1(k1_group_3(sK0))),
inference(cnf_transformation,[],[f183]) ).
fof(f221,plain,
~ v1_xboole_0(sK1),
inference(cnf_transformation,[],[f183]) ).
fof(f222,plain,
r2_hidden(k5_group_2(sK0),sK1),
inference(cnf_transformation,[],[f183]) ).
fof(f223,plain,
~ r1_group_2(sK0,k2_latsubgr(sK0,sK1),k5_group_2(sK0)),
inference(cnf_transformation,[],[f183]) ).
fof(f238,plain,
! [X0,X1] :
( ~ r1_tarski(X1,X0)
| ~ r1_tarski(X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f185]) ).
fof(f241,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| k1_group_3(X0) != X1
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f245,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,[],[f192]) ).
fof(f249,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,[],[f193]) ).
fof(f252,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f254,plain,
! [X0,X1] :
( u1_struct_0(X1) = k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
| k5_group_2(X0) != X1
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f255,plain,
! [X0,X1] :
( u1_struct_0(X1) != k6_domain_1(u1_struct_0(X0),k2_group_1(X0))
| k5_group_2(X0) = X1
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f259,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,[],[f116]) ).
fof(f260,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,[],[f116]) ).
fof(f261,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,[],[f116]) ).
fof(f262,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f263,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f120]) ).
fof(f264,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| m1_group_2(k2_latsubgr(X0,X1),X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0))) ),
inference(cnf_transformation,[],[f122]) ).
fof(f265,plain,
! [X0,X1] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| v1_group_1(k2_latsubgr(X0,X1))
| ~ l1_group_1(X0)
| v1_xboole_0(X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(k1_group_3(X0))) ),
inference(cnf_transformation,[],[f122]) ).
fof(f267,plain,
! [X0] :
( m1_group_2(k5_group_2(X0),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f268,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| v1_group_1(k5_group_2(X0)) ),
inference(cnf_transformation,[],[f124]) ).
fof(f269,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| m1_subset_1(k6_domain_1(X0,X1),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f272,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f273,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| l1_group_1(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f274,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| v3_group_1(X1) ),
inference(cnf_transformation,[],[f132]) ).
fof(f275,plain,
! [X0,X1] :
( ~ v3_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f289,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f290,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f53]) ).
fof(f291,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f54]) ).
fof(f314,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f155]) ).
fof(f316,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,[],[f158]) ).
fof(f320,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f323,plain,
! [X2,X0,X1] :
( r1_group_2(X0,X1,X2)
| X1 != X2
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f328,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f331,plain,
! [X2,X3,X0,X1,X4,X5] :
( r2_hidden(X4,k9_relat_1(X3,X2))
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_funct_1(X3,X5) != X4
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
fof(f332,plain,
! [X0,X1] :
( r1_tarski(k1_setfam_1(X1),X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f336,plain,
! [X0,X1] :
( m1_group_2(k5_group_2(X0),X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f337,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
fof(f341,plain,
! [X3,X0] :
( ~ v1_group_1(X3)
| 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,[],[f241]) ).
fof(f344,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,[],[f245]) ).
fof(f345,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,[],[f249]) ).
fof(f346,plain,
! [X0] :
( k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0))
| ~ v1_group_1(k5_group_2(X0))
| ~ m1_group_2(k5_group_2(X0),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f254]) ).
fof(f347,plain,
! [X2,X0] :
( r1_group_2(X0,X2,X2)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(equality_resolution,[],[f323]) ).
fof(f348,plain,
! [X2,X3,X0,X1,X5] :
( ~ m2_relset_1(X3,X0,X1)
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| r2_hidden(k1_funct_1(X3,X5),k9_relat_1(X3,X2)) ),
inference(equality_resolution,[],[f331]) ).
fof(f349,plain,
! [X2,X0] :
( r1_group_2(X0,X2,X2)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0) ),
inference(duplicate_literal_removal,[],[f347]) ).
fof(f350,plain,
! [X0] :
( k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0))
| ~ m1_group_2(k5_group_2(X0),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f346,f268]) ).
fof(f352,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ v3_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f252,f275]) ).
fof(f353,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,[],[f345,f265]) ).
fof(f354,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,[],[f344,f261]) ).
fof(f355,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0)) ),
inference(forward_subsumption_resolution,[],[f350,f267]) ).
fof(f357,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f352,f274]) ).
fof(f358,plain,
! [X0,X1] :
( ~ l1_group_1(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)
| 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)) ),
inference(forward_subsumption_resolution,[],[f353,f264]) ).
fof(f359,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,[],[f354,f260]) ).
fof(f361,plain,
! [X0,X1] :
( r1_tarski(u1_struct_0(X1),u1_struct_0(X0))
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f357,f273]) ).
fof(f362,plain,
! [X3,X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X3)
| ~ m1_group_2(X3,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3) ),
inference(forward_subsumption_resolution,[],[f359,f259]) ).
fof(f363,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| v1_group_1(k2_latsubgr(sK0,X0))
| ~ l1_group_1(sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0))) ),
inference(resolution,[],[f217,f265]) ).
fof(f364,plain,
! [X0] :
( ~ v3_group_1(sK0)
| v1_group_1(k2_latsubgr(sK0,X0))
| ~ l1_group_1(sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0))) ),
inference(forward_subsumption_resolution,[],[f363,f219]) ).
fof(f365,plain,
! [X0] :
( v1_group_1(k2_latsubgr(sK0,X0))
| ~ l1_group_1(sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0))) ),
inference(forward_subsumption_resolution,[],[f364,f218]) ).
fof(f366,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| v1_xboole_0(X0)
| v1_group_1(k2_latsubgr(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f365,f216]) ).
fof(f367,plain,
! [X0] :
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| m1_group_2(k2_latsubgr(sK0,X0),sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0))) ),
inference(resolution,[],[f264,f216]) ).
fof(f368,plain,
! [X0] :
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| m1_group_2(k2_latsubgr(sK0,X0),sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0))) ),
inference(forward_subsumption_resolution,[],[f367,f219]) ).
fof(f369,plain,
! [X0] :
( ~ v4_group_1(sK0)
| m1_group_2(k2_latsubgr(sK0,X0),sK0)
| v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0))) ),
inference(forward_subsumption_resolution,[],[f368,f218]) ).
fof(f370,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| v1_xboole_0(X0)
| m1_group_2(k2_latsubgr(sK0,X0),sK0) ),
inference(forward_subsumption_resolution,[],[f369,f217]) ).
fof(f371,plain,
( v1_xboole_0(sK1)
| v1_group_1(k2_latsubgr(sK0,sK1)) ),
inference(resolution,[],[f366,f220]) ).
fof(f372,plain,
v1_group_1(k2_latsubgr(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f371,f221]) ).
fof(f374,plain,
( v1_xboole_0(sK1)
| m1_group_2(k2_latsubgr(sK0,sK1),sK0) ),
inference(resolution,[],[f370,f220]) ).
fof(f375,plain,
m1_group_2(k2_latsubgr(sK0,sK1),sK0),
inference(forward_subsumption_resolution,[],[f374,f221]) ).
fof(f379,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| k6_setfam_1(u1_struct_0(sK0),k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0)) = u1_struct_0(k2_latsubgr(sK0,X0)) ),
inference(resolution,[],[f358,f216]) ).
fof(f380,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| k6_setfam_1(u1_struct_0(sK0),k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0)) = u1_struct_0(k2_latsubgr(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f379,f219]) ).
fof(f381,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| ~ v4_group_1(sK0)
| k6_setfam_1(u1_struct_0(sK0),k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0)) = u1_struct_0(k2_latsubgr(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f380,f218]) ).
fof(f382,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(k1_group_3(sK0)))
| v1_xboole_0(X0)
| k6_setfam_1(u1_struct_0(sK0),k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0)) = u1_struct_0(k2_latsubgr(sK0,X0)) ),
inference(forward_subsumption_resolution,[],[f381,f217]) ).
fof(f383,plain,
( v1_xboole_0(sK1)
| k6_setfam_1(u1_struct_0(sK0),k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),sK1)) = u1_struct_0(k2_latsubgr(sK0,sK1)) ),
inference(resolution,[],[f382,f220]) ).
fof(f384,plain,
k6_setfam_1(u1_struct_0(sK0),k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),sK1)) = u1_struct_0(k2_latsubgr(sK0,sK1)),
inference(forward_subsumption_resolution,[],[f383,f221]) ).
fof(f385,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = u1_struct_0(k5_group_2(sK0)) ),
inference(resolution,[],[f355,f216]) ).
fof(f386,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = u1_struct_0(k5_group_2(sK0)) ),
inference(forward_subsumption_resolution,[],[f385,f219]) ).
fof(f387,plain,
( ~ v4_group_1(sK0)
| k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = u1_struct_0(k5_group_2(sK0)) ),
inference(forward_subsumption_resolution,[],[f386,f218]) ).
fof(f388,plain,
k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = u1_struct_0(k5_group_2(sK0)),
inference(forward_subsumption_resolution,[],[f387,f217]) ).
fof(f392,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| v1_group_1(k5_group_2(sK0)) ),
inference(resolution,[],[f268,f216]) ).
fof(f393,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| v1_group_1(k5_group_2(sK0)) ),
inference(forward_subsumption_resolution,[],[f392,f219]) ).
fof(f394,plain,
( ~ v4_group_1(sK0)
| v1_group_1(k5_group_2(sK0)) ),
inference(forward_subsumption_resolution,[],[f393,f218]) ).
fof(f395,plain,
v1_group_1(k5_group_2(sK0)),
inference(forward_subsumption_resolution,[],[f394,f217]) ).
fof(f396,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ m1_group_2(k5_group_2(sK0),X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| r2_hidden(k5_group_2(sK0),k1_group_3(X0)) ),
inference(resolution,[],[f395,f341]) ).
fof(f399,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0) ),
inference(resolution,[],[f362,f216]) ).
fof(f400,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0) ),
inference(forward_subsumption_resolution,[],[f399,f219]) ).
fof(f401,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v4_group_1(sK0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0) ),
inference(forward_subsumption_resolution,[],[f400,f218]) ).
fof(f402,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| u1_struct_0(X0) = k1_funct_1(k1_latsubgr(sK0),X0) ),
inference(forward_subsumption_resolution,[],[f401,f217]) ).
fof(f416,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| u1_struct_0(k5_group_2(sK0)) = k1_funct_1(k1_latsubgr(sK0),k5_group_2(sK0)) ),
inference(resolution,[],[f402,f395]) ).
fof(f418,definition,
( spl19_1
<=> u1_struct_0(k5_group_2(sK0)) = k1_funct_1(k1_latsubgr(sK0),k5_group_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl19_1])],[avatar_definition]) ).
fof(f419,plain,
( u1_struct_0(k5_group_2(sK0)) = k1_funct_1(k1_latsubgr(sK0),k5_group_2(sK0))
| ~ spl19_1 ),
inference(avatar_component_clause,[],[f418]) ).
fof(f421,definition,
( spl19_2
<=> m1_group_2(k5_group_2(sK0),sK0) ),
introduced(definition,[new_symbols(definition,[spl19_2])],[avatar_definition]) ).
fof(f422,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| spl19_2 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f423,plain,
( spl19_1
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f416,f421,f418]) ).
fof(f426,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_2 ),
inference(resolution,[],[f422,f267]) ).
fof(f430,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f426,f219]) ).
fof(f432,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f430,f218]) ).
fof(f434,plain,
( ~ l1_group_1(sK0)
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f432,f217]) ).
fof(f436,plain,
( $false
| spl19_2 ),
inference(forward_subsumption_resolution,[],[f434,f216]) ).
fof(f437,plain,
spl19_2,
inference(avatar_contradiction_clause,[],[f436]) ).
fof(f443,plain,
! [X0] :
( u1_struct_0(X0) != u1_struct_0(k5_group_2(sK0))
| k5_group_2(sK0) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(superposition,[],[f255,f388]) ).
fof(f444,plain,
! [X0] :
( u1_struct_0(X0) != u1_struct_0(k5_group_2(sK0))
| k5_group_2(sK0) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f443,f219]) ).
fof(f445,plain,
! [X0] :
( u1_struct_0(X0) != u1_struct_0(k5_group_2(sK0))
| k5_group_2(sK0) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f444,f218]) ).
fof(f446,plain,
! [X0] :
( u1_struct_0(X0) != u1_struct_0(k5_group_2(sK0))
| k5_group_2(sK0) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f445,f217]) ).
fof(f447,plain,
! [X0] :
( u1_struct_0(X0) != u1_struct_0(k5_group_2(sK0))
| k5_group_2(sK0) = X0
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(forward_subsumption_resolution,[],[f446,f216]) ).
fof(f492,definition,
( spl19_11
<=> v3_struct_0(k2_latsubgr(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl19_11])],[avatar_definition]) ).
fof(f493,plain,
( v3_struct_0(k2_latsubgr(sK0,sK1))
| ~ spl19_11 ),
inference(avatar_component_clause,[],[f492]) ).
fof(f498,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| r2_hidden(k5_group_2(sK0),k1_group_3(sK0)) ),
inference(resolution,[],[f396,f216]) ).
fof(f499,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| r2_hidden(k5_group_2(sK0),k1_group_3(sK0)) ),
inference(forward_subsumption_resolution,[],[f498,f219]) ).
fof(f500,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ v4_group_1(sK0)
| r2_hidden(k5_group_2(sK0),k1_group_3(sK0)) ),
inference(forward_subsumption_resolution,[],[f499,f218]) ).
fof(f501,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| r2_hidden(k5_group_2(sK0),k1_group_3(sK0)) ),
inference(forward_subsumption_resolution,[],[f500,f217]) ).
fof(f503,definition,
( spl19_13
<=> r2_hidden(k5_group_2(sK0),k1_group_3(sK0)) ),
introduced(definition,[new_symbols(definition,[spl19_13])],[avatar_definition]) ).
fof(f504,plain,
( r2_hidden(k5_group_2(sK0),k1_group_3(sK0))
| ~ spl19_13 ),
inference(avatar_component_clause,[],[f503]) ).
fof(f505,plain,
( spl19_13
| ~ spl19_2 ),
inference(avatar_split_clause,[],[f501,f421,f503]) ).
fof(f559,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| u1_struct_0(X0) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ r1_tarski(u1_struct_0(X0),u1_struct_0(X1)) ),
inference(resolution,[],[f238,f361]) ).
fof(f568,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k1_group_3(X1))
| ~ r2_hidden(X0,X2)
| k1_xboole_0 = k1_zfmisc_1(u1_struct_0(X1))
| ~ v1_funct_1(k1_latsubgr(X1))
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(k1_funct_1(k1_latsubgr(X1),X0),k9_relat_1(k1_latsubgr(X1),X2))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(resolution,[],[f348,f259]) ).
fof(f569,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,k1_group_3(X1))
| ~ r2_hidden(X0,X2)
| k1_xboole_0 = k1_zfmisc_1(u1_struct_0(X1))
| ~ v1_funct_2(k1_latsubgr(X1),k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| r2_hidden(k1_funct_1(k1_latsubgr(X1),X0),k9_relat_1(k1_latsubgr(X1),X2))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f568,f261]) ).
fof(f570,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X1)
| ~ r2_hidden(X0,X2)
| k1_xboole_0 = k1_zfmisc_1(u1_struct_0(X1))
| r2_hidden(k1_funct_1(k1_latsubgr(X1),X0),k9_relat_1(k1_latsubgr(X1),X2))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ r2_hidden(X0,k1_group_3(X1)) ),
inference(forward_subsumption_resolution,[],[f569,f260]) ).
fof(f571,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0))
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ r2_hidden(X0,k1_group_3(sK0)) ),
inference(resolution,[],[f570,f216]) ).
fof(f572,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0))
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ r2_hidden(X0,k1_group_3(sK0)) ),
inference(forward_subsumption_resolution,[],[f571,f219]) ).
fof(f573,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0))
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1))
| ~ v4_group_1(sK0)
| ~ r2_hidden(X0,k1_group_3(sK0)) ),
inference(forward_subsumption_resolution,[],[f572,f218]) ).
fof(f574,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0))
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1))
| ~ r2_hidden(X0,k1_group_3(sK0)) ),
inference(forward_subsumption_resolution,[],[f573,f217]) ).
fof(f576,definition,
( spl19_19
<=> k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl19_19])],[avatar_definition]) ).
fof(f577,plain,
( k1_xboole_0 = k1_zfmisc_1(u1_struct_0(sK0))
| ~ spl19_19 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f579,definition,
( spl19_20
<=> ! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X0,k1_group_3(sK0))
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) ) ),
introduced(definition,[new_symbols(definition,[spl19_20])],[avatar_definition]) ).
fof(f580,plain,
( ! [X0,X1] :
( ~ r2_hidden(X0,k1_group_3(sK0))
| ~ r2_hidden(X0,X1)
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),X0),k9_relat_1(k1_latsubgr(sK0),X1)) )
| ~ spl19_20 ),
inference(avatar_component_clause,[],[f579]) ).
fof(f581,plain,
( spl19_19
| spl19_20 ),
inference(avatar_split_clause,[],[f574,f579,f576]) ).
fof(f603,plain,
( v3_struct_0(sK0)
| m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0)) ),
inference(resolution,[],[f263,f216]) ).
fof(f604,plain,
m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0)),
inference(forward_subsumption_resolution,[],[f603,f219]) ).
fof(f613,definition,
( spl19_22
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl19_22])],[avatar_definition]) ).
fof(f614,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl19_22 ),
inference(avatar_component_clause,[],[f613]) ).
fof(f624,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl19_22 ),
inference(resolution,[],[f614,f289]) ).
fof(f627,plain,
( ~ l1_struct_0(sK0)
| ~ spl19_22 ),
inference(forward_subsumption_resolution,[],[f624,f219]) ).
fof(f629,plain,
( ~ l1_group_1(sK0)
| ~ spl19_22 ),
inference(resolution,[],[f627,f272]) ).
fof(f631,plain,
( $false
| ~ spl19_22 ),
inference(forward_subsumption_resolution,[],[f629,f216]) ).
fof(f632,plain,
~ spl19_22,
inference(avatar_contradiction_clause,[],[f631]) ).
fof(f639,plain,
( v1_xboole_0(u1_struct_0(sK0))
| m1_subset_1(k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(resolution,[],[f269,f604]) ).
fof(f655,plain,
( m1_subset_1(u1_struct_0(k5_group_2(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(u1_struct_0(sK0)) ),
inference(forward_demodulation,[],[f639,f388]) ).
fof(f657,definition,
( spl19_27
<=> m1_subset_1(u1_struct_0(k5_group_2(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl19_27])],[avatar_definition]) ).
fof(f658,plain,
( m1_subset_1(u1_struct_0(k5_group_2(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl19_27 ),
inference(avatar_component_clause,[],[f657]) ).
fof(f659,plain,
( spl19_22
| spl19_27 ),
inference(avatar_split_clause,[],[f655,f657,f613]) ).
fof(f660,plain,
( ! [X0] :
( ~ r2_hidden(k5_group_2(sK0),X0)
| r2_hidden(k1_funct_1(k1_latsubgr(sK0),k5_group_2(sK0)),k9_relat_1(k1_latsubgr(sK0),X0)) )
| ~ spl19_13
| ~ spl19_20 ),
inference(resolution,[],[f580,f504]) ).
fof(f661,plain,
( ! [X0] :
( r2_hidden(u1_struct_0(k5_group_2(sK0)),k9_relat_1(k1_latsubgr(sK0),X0))
| ~ r2_hidden(k5_group_2(sK0),X0) )
| ~ spl19_1
| ~ spl19_13
| ~ spl19_20 ),
inference(forward_demodulation,[],[f660,f419]) ).
fof(f685,plain,
( r2_hidden(u1_struct_0(k5_group_2(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl19_27 ),
inference(resolution,[],[f658,f328]) ).
fof(f690,plain,
( r2_hidden(u1_struct_0(k5_group_2(sK0)),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ spl19_27 ),
inference(forward_subsumption_resolution,[],[f685,f290]) ).
fof(f780,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| v3_group_1(X0) ),
inference(resolution,[],[f274,f216]) ).
fof(f781,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ v3_group_1(sK0)
| v3_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f780,f219]) ).
fof(f782,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| v3_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f781,f218]) ).
fof(f785,plain,
v3_group_1(k2_latsubgr(sK0,sK1)),
inference(resolution,[],[f782,f375]) ).
fof(f814,plain,
! [X0] : ~ r2_hidden(X0,k1_xboole_0),
inference(resolution,[],[f337,f291]) ).
fof(f827,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0) ),
inference(resolution,[],[f320,f259]) ).
fof(f835,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| l1_group_1(X0) ),
inference(resolution,[],[f273,f216]) ).
fof(f837,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| ~ v3_group_1(sK0)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f835,f219]) ).
fof(f838,plain,
! [X0] :
( ~ m1_group_2(X0,sK0)
| l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f837,f218]) ).
fof(f841,plain,
l1_group_1(k2_latsubgr(sK0,sK1)),
inference(resolution,[],[f838,f375]) ).
fof(f858,plain,
( m1_group_2(k5_group_2(sK0),sK0)
| ~ spl19_2 ),
inference(avatar_component_clause,[],[f421]) ).
fof(f925,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k2_latsubgr(sK0,sK1))
| ~ m1_group_2(X0,k2_latsubgr(sK0,sK1))
| v3_struct_0(k2_latsubgr(sK0,sK1))
| ~ v3_group_1(k2_latsubgr(sK0,sK1))
| ~ r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),u1_struct_0(X0)) ),
inference(resolution,[],[f841,f559]) ).
fof(f927,plain,
! [X0] :
( u1_struct_0(X0) = u1_struct_0(k2_latsubgr(sK0,sK1))
| ~ m1_group_2(X0,k2_latsubgr(sK0,sK1))
| v3_struct_0(k2_latsubgr(sK0,sK1))
| ~ r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),u1_struct_0(X0)) ),
inference(forward_subsumption_resolution,[],[f925,f785]) ).
fof(f937,definition,
( spl19_50
<=> ! [X0] :
( u1_struct_0(X0) = u1_struct_0(k2_latsubgr(sK0,sK1))
| ~ r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),u1_struct_0(X0))
| ~ m1_group_2(X0,k2_latsubgr(sK0,sK1)) ) ),
introduced(definition,[new_symbols(definition,[spl19_50])],[avatar_definition]) ).
fof(f938,plain,
( ! [X0] :
( ~ r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),u1_struct_0(X0))
| u1_struct_0(X0) = u1_struct_0(k2_latsubgr(sK0,sK1))
| ~ m1_group_2(X0,k2_latsubgr(sK0,sK1)) )
| ~ spl19_50 ),
inference(avatar_component_clause,[],[f937]) ).
fof(f939,plain,
( spl19_11
| spl19_50 ),
inference(avatar_split_clause,[],[f927,f937,f492]) ).
fof(f1007,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| m1_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f827,f217]) ).
fof(f1008,plain,
( ~ v3_group_1(sK0)
| m1_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f1007,f219]) ).
fof(f1009,plain,
( m1_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f1008,f218]) ).
fof(f1010,plain,
m1_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),
inference(forward_subsumption_resolution,[],[f1009,f216]) ).
fof(f1011,plain,
! [X0] :
( ~ v1_funct_1(k1_latsubgr(sK0))
| ~ v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| m1_subset_1(k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))) ),
inference(resolution,[],[f1010,f262]) ).
fof(f1013,plain,
! [X0] :
( ~ v1_funct_1(k1_latsubgr(sK0))
| ~ v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0) = k9_relat_1(k1_latsubgr(sK0),X0) ),
inference(resolution,[],[f1010,f314]) ).
fof(f1015,definition,
( spl19_61
<=> ! [X0] : k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0) = k9_relat_1(k1_latsubgr(sK0),X0) ),
introduced(definition,[new_symbols(definition,[spl19_61])],[avatar_definition]) ).
fof(f1016,plain,
( ! [X0] : k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0) = k9_relat_1(k1_latsubgr(sK0),X0)
| ~ spl19_61 ),
inference(avatar_component_clause,[],[f1015]) ).
fof(f1018,definition,
( spl19_62
<=> v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
introduced(definition,[new_symbols(definition,[spl19_62])],[avatar_definition]) ).
fof(f1019,plain,
( ~ v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| spl19_62 ),
inference(avatar_component_clause,[],[f1018]) ).
fof(f1021,definition,
( spl19_63
<=> v1_funct_1(k1_latsubgr(sK0)) ),
introduced(definition,[new_symbols(definition,[spl19_63])],[avatar_definition]) ).
fof(f1022,plain,
( ~ v1_funct_1(k1_latsubgr(sK0))
| spl19_63 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1023,plain,
( spl19_61
| ~ spl19_62
| ~ spl19_63 ),
inference(avatar_split_clause,[],[f1013,f1021,f1018,f1015]) ).
fof(f1029,definition,
( spl19_65
<=> ! [X0] : m1_subset_1(k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl19_65])],[avatar_definition]) ).
fof(f1030,plain,
( ! [X0] : m1_subset_1(k2_funct_2(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
| ~ spl19_65 ),
inference(avatar_component_clause,[],[f1029]) ).
fof(f1031,plain,
( spl19_65
| ~ spl19_62
| ~ spl19_63 ),
inference(avatar_split_clause,[],[f1011,f1021,f1018,f1029]) ).
fof(f1033,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_62 ),
inference(resolution,[],[f1019,f260]) ).
fof(f1035,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_62 ),
inference(forward_subsumption_resolution,[],[f1033,f219]) ).
fof(f1036,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_62 ),
inference(forward_subsumption_resolution,[],[f1035,f218]) ).
fof(f1037,plain,
( ~ l1_group_1(sK0)
| spl19_62 ),
inference(forward_subsumption_resolution,[],[f1036,f217]) ).
fof(f1038,plain,
( $false
| spl19_62 ),
inference(forward_subsumption_resolution,[],[f1037,f216]) ).
fof(f1039,plain,
spl19_62,
inference(avatar_contradiction_clause,[],[f1038]) ).
fof(f1041,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_63 ),
inference(resolution,[],[f1022,f261]) ).
fof(f1043,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_63 ),
inference(forward_subsumption_resolution,[],[f1041,f219]) ).
fof(f1044,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_63 ),
inference(forward_subsumption_resolution,[],[f1043,f218]) ).
fof(f1045,plain,
( ~ l1_group_1(sK0)
| spl19_63 ),
inference(forward_subsumption_resolution,[],[f1044,f217]) ).
fof(f1046,plain,
( $false
| spl19_63 ),
inference(forward_subsumption_resolution,[],[f1045,f216]) ).
fof(f1047,plain,
spl19_63,
inference(avatar_contradiction_clause,[],[f1046]) ).
fof(f1048,plain,
( ! [X0] : m1_subset_1(k9_relat_1(k1_latsubgr(sK0),X0),k1_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0))))
| ~ spl19_61
| ~ spl19_65 ),
inference(forward_demodulation,[],[f1030,f1016]) ).
fof(f1049,plain,
( u1_struct_0(k2_latsubgr(sK0,sK1)) = k6_setfam_1(u1_struct_0(sK0),k9_relat_1(k1_latsubgr(sK0),sK1))
| ~ spl19_61 ),
inference(superposition,[],[f384,f1016]) ).
fof(f1061,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))
| ~ spl19_61
| ~ spl19_65 ),
inference(resolution,[],[f1048,f316]) ).
fof(f1092,plain,
( $false
| ~ spl19_11 ),
inference(unit_resulting_resolution,[],[f275,f216,f218,f219,f375,f493]) ).
fof(f1096,plain,
~ spl19_11,
inference(avatar_contradiction_clause,[],[f1092]) ).
fof(f1135,definition,
( spl19_67
<=> m1_group_2(k5_group_2(sK0),k2_latsubgr(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl19_67])],[avatar_definition]) ).
fof(f1136,plain,
( ~ m1_group_2(k5_group_2(sK0),k2_latsubgr(sK0,sK1))
| spl19_67 ),
inference(avatar_component_clause,[],[f1135]) ).
fof(f1212,plain,
( u1_struct_0(k2_latsubgr(sK0,sK1)) = k1_setfam_1(k9_relat_1(k1_latsubgr(sK0),sK1))
| ~ spl19_61
| ~ spl19_65 ),
inference(superposition,[],[f1049,f1061]) ).
fof(f1214,plain,
( ! [X0] :
( ~ r2_hidden(X0,k9_relat_1(k1_latsubgr(sK0),sK1))
| r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),X0) )
| ~ spl19_61
| ~ spl19_65 ),
inference(superposition,[],[f332,f1212]) ).
fof(f1479,definition,
( spl19_104
<=> u1_struct_0(k2_latsubgr(sK0,sK1)) = u1_struct_0(k5_group_2(sK0)) ),
introduced(definition,[new_symbols(definition,[spl19_104])],[avatar_definition]) ).
fof(f1480,plain,
( u1_struct_0(k2_latsubgr(sK0,sK1)) = u1_struct_0(k5_group_2(sK0))
| ~ spl19_104 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f1723,definition,
( spl19_125
<=> k2_latsubgr(sK0,sK1) = k5_group_2(sK0) ),
introduced(definition,[new_symbols(definition,[spl19_125])],[avatar_definition]) ).
fof(f1724,plain,
( k2_latsubgr(sK0,sK1) = k5_group_2(sK0)
| ~ spl19_125 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f1819,plain,
( r2_hidden(u1_struct_0(k5_group_2(sK0)),k1_xboole_0)
| ~ spl19_19
| ~ spl19_27 ),
inference(superposition,[],[f690,f577]) ).
fof(f1839,plain,
( $false
| ~ spl19_19
| ~ spl19_27 ),
inference(forward_subsumption_resolution,[],[f1819,f814]) ).
fof(f1840,plain,
( ~ spl19_19
| ~ spl19_27 ),
inference(avatar_contradiction_clause,[],[f1839]) ).
fof(f1897,plain,
( r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),u1_struct_0(k5_group_2(sK0)))
| ~ r2_hidden(k5_group_2(sK0),sK1)
| ~ spl19_1
| ~ spl19_13
| ~ spl19_20
| ~ spl19_61
| ~ spl19_65 ),
inference(resolution,[],[f1214,f661]) ).
fof(f1899,plain,
( r1_tarski(u1_struct_0(k2_latsubgr(sK0,sK1)),u1_struct_0(k5_group_2(sK0)))
| ~ spl19_1
| ~ spl19_13
| ~ spl19_20
| ~ spl19_61
| ~ spl19_65 ),
inference(forward_subsumption_resolution,[],[f1897,f222]) ).
fof(f1900,plain,
( u1_struct_0(k2_latsubgr(sK0,sK1)) = u1_struct_0(k5_group_2(sK0))
| ~ m1_group_2(k5_group_2(sK0),k2_latsubgr(sK0,sK1))
| ~ spl19_1
| ~ spl19_13
| ~ spl19_20
| ~ spl19_50
| ~ spl19_61
| ~ spl19_65 ),
inference(resolution,[],[f1899,f938]) ).
fof(f1909,plain,
( ~ spl19_67
| spl19_104
| ~ spl19_1
| ~ spl19_13
| ~ spl19_20
| ~ spl19_50
| ~ spl19_61
| ~ spl19_65 ),
inference(avatar_split_clause,[],[f1900,f1029,f1015,f937,f579,f503,f418,f1479,f1135]) ).
fof(f1930,plain,
( ~ m1_group_2(k2_latsubgr(sK0,sK1),sK0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_67 ),
inference(resolution,[],[f1136,f336]) ).
fof(f1932,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_67 ),
inference(forward_subsumption_resolution,[],[f1930,f375]) ).
fof(f1933,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_67 ),
inference(forward_subsumption_resolution,[],[f1932,f219]) ).
fof(f1934,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| spl19_67 ),
inference(forward_subsumption_resolution,[],[f1933,f218]) ).
fof(f1935,plain,
( ~ l1_group_1(sK0)
| spl19_67 ),
inference(forward_subsumption_resolution,[],[f1934,f217]) ).
fof(f1936,plain,
( $false
| spl19_67 ),
inference(forward_subsumption_resolution,[],[f1935,f216]) ).
fof(f1937,plain,
spl19_67,
inference(avatar_contradiction_clause,[],[f1936]) ).
fof(f1961,plain,
( u1_struct_0(k5_group_2(sK0)) != u1_struct_0(k5_group_2(sK0))
| k2_latsubgr(sK0,sK1) = k5_group_2(sK0)
| ~ v1_group_1(k2_latsubgr(sK0,sK1))
| ~ m1_group_2(k2_latsubgr(sK0,sK1),sK0)
| ~ spl19_104 ),
inference(superposition,[],[f447,f1480]) ).
fof(f1966,plain,
( k2_latsubgr(sK0,sK1) = k5_group_2(sK0)
| ~ v1_group_1(k2_latsubgr(sK0,sK1))
| ~ m1_group_2(k2_latsubgr(sK0,sK1),sK0)
| ~ spl19_104 ),
inference(trivial_inequality_removal,[],[f1961]) ).
fof(f1970,plain,
( k2_latsubgr(sK0,sK1) = k5_group_2(sK0)
| ~ m1_group_2(k2_latsubgr(sK0,sK1),sK0)
| ~ spl19_104 ),
inference(forward_subsumption_resolution,[],[f1966,f372]) ).
fof(f1980,plain,
( k2_latsubgr(sK0,sK1) = k5_group_2(sK0)
| ~ spl19_104 ),
inference(forward_subsumption_resolution,[],[f1970,f375]) ).
fof(f1987,plain,
( spl19_125
| ~ spl19_104 ),
inference(avatar_split_clause,[],[f1980,f1479,f1723]) ).
fof(f2009,plain,
( ~ r1_group_2(sK0,k5_group_2(sK0),k5_group_2(sK0))
| ~ spl19_125 ),
inference(superposition,[],[f223,f1724]) ).
fof(f2069,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_1(k5_group_2(sK0))
| ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ spl19_125 ),
inference(resolution,[],[f2009,f349]) ).
fof(f2074,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_1(k5_group_2(sK0))
| ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ spl19_125 ),
inference(forward_subsumption_resolution,[],[f2069,f219]) ).
fof(f2075,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ v1_group_1(k5_group_2(sK0))
| ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ spl19_125 ),
inference(forward_subsumption_resolution,[],[f2074,f218]) ).
fof(f2076,plain,
( ~ l1_group_1(sK0)
| ~ v1_group_1(k5_group_2(sK0))
| ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ spl19_125 ),
inference(forward_subsumption_resolution,[],[f2075,f217]) ).
fof(f2077,plain,
( ~ v1_group_1(k5_group_2(sK0))
| ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ spl19_125 ),
inference(forward_subsumption_resolution,[],[f2076,f216]) ).
fof(f2078,plain,
( ~ m1_group_2(k5_group_2(sK0),sK0)
| ~ spl19_125 ),
inference(forward_subsumption_resolution,[],[f2077,f395]) ).
fof(f2079,plain,
( $false
| ~ spl19_2
| ~ spl19_125 ),
inference(forward_subsumption_resolution,[],[f2078,f858]) ).
fof(f2080,plain,
( ~ spl19_2
| ~ spl19_125 ),
inference(avatar_contradiction_clause,[],[f2079]) ).
cnf(s1,plain,
( spl19_1
| ~ spl19_2 ),
inference(sat_conversion,[],[f423]) ).
cnf(s3,plain,
spl19_2,
inference(sat_conversion,[],[f437]) ).
cnf(s6,plain,
( ~ spl19_2
| spl19_13 ),
inference(sat_conversion,[],[f505]) ).
cnf(s12,plain,
( spl19_19
| spl19_20 ),
inference(sat_conversion,[],[f581]) ).
cnf(s17,plain,
~ spl19_22,
inference(sat_conversion,[],[f632]) ).
cnf(s20,plain,
( spl19_22
| spl19_27 ),
inference(sat_conversion,[],[f659]) ).
cnf(s42,plain,
( spl19_11
| spl19_50 ),
inference(sat_conversion,[],[f939]) ).
cnf(s52,plain,
( spl19_61
| ~ spl19_62
| ~ spl19_63 ),
inference(sat_conversion,[],[f1023]) ).
cnf(s54,plain,
( ~ spl19_62
| ~ spl19_63
| spl19_65 ),
inference(sat_conversion,[],[f1031]) ).
cnf(s56,plain,
spl19_62,
inference(sat_conversion,[],[f1039]) ).
cnf(s58,plain,
spl19_63,
inference(sat_conversion,[],[f1047]) ).
cnf(s59,plain,
~ spl19_11,
inference(sat_conversion,[],[f1096]) ).
cnf(s128,plain,
( ~ spl19_19
| ~ spl19_27 ),
inference(sat_conversion,[],[f1840]) ).
cnf(s137,plain,
( ~ spl19_1
| ~ spl19_13
| ~ spl19_20
| ~ spl19_50
| ~ spl19_61
| ~ spl19_65
| ~ spl19_67
| spl19_104 ),
inference(sat_conversion,[],[f1909]) ).
cnf(s140,plain,
spl19_67,
inference(sat_conversion,[],[f1937]) ).
cnf(s141,plain,
( ~ spl19_104
| spl19_125 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s153,plain,
( ~ spl19_2
| ~ spl19_125 ),
inference(sat_conversion,[],[f2080]) ).
cnf(s154,plain,
( ~ spl19_1
| ~ spl19_13
| ~ spl19_20
| ~ spl19_50
| ~ spl19_61
| ~ spl19_65
| spl19_104 ),
inference(rat,[],[s137,s140]) ).
cnf(s162,plain,
spl19_65,
inference(rat,[],[s54,s58,s56]) ).
cnf(s164,plain,
spl19_61,
inference(rat,[],[s52,s58,s56]) ).
cnf(s168,plain,
spl19_50,
inference(rat,[],[s42,s59]) ).
cnf(s174,plain,
spl19_27,
inference(rat,[],[s20,s17]) ).
cnf(s175,plain,
~ spl19_19,
inference(rat,[],[s128,s174]) ).
cnf(s180,plain,
spl19_20,
inference(rat,[],[s12,s175]) ).
cnf(s197,plain,
~ spl19_125,
inference(rat,[],[s153,s3]) ).
cnf(s202,plain,
spl19_13,
inference(rat,[],[s6,s3]) ).
cnf(s203,plain,
~ spl19_104,
inference(rat,[],[s141,s197]) ).
cnf(s211,plain,
~ spl19_1,
inference(rat,[],[s154,s203,s162,s164,s168,s180,s202]) ).
cnf(s227,plain,
$false,
inference(rat,[],[s1,s3,s211]) ).
fof(f2081,plain,
$false,
inference(avatar_sat_refutation,[],[s227]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP646+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 10:27:38 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 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
% 9.34/2.17 % (2126358)Detected formulas, will run a generic FOF schedule.
% 9.34/2.17 % (2126369)dis-21_1_sil=8000:lcm=predicate:random_seed=1561277167: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)
% 9.34/2.17 % (2126365)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=2228444597:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 9.34/2.17 % (2126363)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=4075394161:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 9.34/2.17 % (2126364)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=2579032152:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 9.34/2.17 % (2126367)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2332554170:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 9.34/2.17 % (2126366)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2185146712:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 9.34/2.17 % (2126368)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3615674780:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 9.34/2.17 % (2126369)Instruction limit reached!
% 9.34/2.17 % (2126369)------------------------------
% 9.34/2.17 % (2126369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126369)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126369)Termination reason: Instruction limit
% 9.34/2.17 % (2126369)Termination phase: Saturation
% 9.34/2.17 % (2126369)Time elapsed: 0.043 s
% 9.34/2.17 % (2126369)Peak memory usage: 90 MB
% 9.34/2.17 % (2126369)Instructions burned: 130 (million)
% 9.34/2.17 % (2126366)Refutation not found, incomplete strategy
% 9.34/2.17 % (2126366)------------------------------
% 9.34/2.17 % (2126366)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126366)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126366)Termination reason: Refutation not found, incomplete strategy
% 9.34/2.17 % (2126366)Time elapsed: 0.005 s
% 9.34/2.17 % (2126366)Peak memory usage: 88 MB
% 9.34/2.17 % (2126366)Instructions burned: 5 (million)
% 9.34/2.17 % (2126367)Instruction limit reached!
% 9.34/2.17 % (2126367)------------------------------
% 9.34/2.17 % (2126367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126367)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126367)Termination reason: Instruction limit
% 9.34/2.17 % (2126367)Termination phase: Saturation
% 9.34/2.17 % (2126367)Time elapsed: 0.071 s
% 9.34/2.17 % (2126367)Peak memory usage: 88 MB
% 9.34/2.17 % (2126367)Instructions burned: 122 (million)
% 9.34/2.17 % (2126368)Instruction limit reached!
% 9.34/2.17 % (2126368)------------------------------
% 9.34/2.17 % (2126368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126368)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126368)Termination reason: Instruction limit
% 9.34/2.17 % (2126368)Termination phase: Saturation
% 9.34/2.17 % (2126368)Time elapsed: 0.102 s
% 9.34/2.17 % (2126368)Peak memory usage: 90 MB
% 9.34/2.17 % (2126368)Instructions burned: 140 (million)
% 9.34/2.17 % (2126377)lrs+10_1_sil=8000:sp=occurrence:random_seed=1686426870:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 9.34/2.17 % (2126378)lrs+10_1_sil=32000:urr=on:br=off:random_seed=179485114:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 9.34/2.17 % (2126377)Instruction limit reached!
% 9.34/2.17 % (2126377)------------------------------
% 9.34/2.17 % (2126377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126377)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126377)Termination reason: Instruction limit
% 9.34/2.17 % (2126377)Termination phase: Saturation
% 9.34/2.17 % (2126377)Time elapsed: 0.098 s
% 9.34/2.17 % (2126377)Peak memory usage: 93 MB
% 9.34/2.17 % (2126377)Instructions burned: 288 (million)
% 9.34/2.17 % (2126366)------------------------------
% 9.34/2.17 % (2126366)------------------------------
% 9.34/2.17 % (2126379)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3884127120:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 9.34/2.17 % (2126378)Instruction limit reached!
% 9.34/2.17 % (2126378)------------------------------
% 9.34/2.17 % (2126378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126378)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126378)Termination reason: Instruction limit
% 9.34/2.17 % (2126378)Termination phase: Saturation
% 9.34/2.17 % (2126378)Time elapsed: 0.096 s
% 9.34/2.17 % (2126378)Peak memory usage: 89 MB
% 9.34/2.17 % (2126378)Instructions burned: 158 (million)
% 9.34/2.17 % (2126382)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=3464927671:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 9.34/2.17 % (2126383)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1530604362:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 9.34/2.17 % (2126383)Refutation not found, incomplete strategy
% 9.34/2.17 % (2126383)------------------------------
% 9.34/2.17 % (2126383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126383)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126383)Termination reason: Refutation not found, incomplete strategy
% 9.34/2.17 % (2126383)Time elapsed: 0.005 s
% 9.34/2.17 % (2126383)Peak memory usage: 88 MB
% 9.34/2.17 % (2126383)Instructions burned: 6 (million)
% 9.34/2.17 % (2126382)Instruction limit reached!
% 9.34/2.17 % (2126382)------------------------------
% 9.34/2.17 % (2126382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126382)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126382)Termination reason: Instruction limit
% 9.34/2.17 % (2126382)Termination phase: Saturation
% 9.34/2.17 % (2126382)Time elapsed: 0.080 s
% 9.34/2.17 % (2126382)Peak memory usage: 93 MB
% 9.34/2.17 % (2126382)Instructions burned: 251 (million)
% 9.34/2.17 % (2126385)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1793345091:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 9.34/2.17 % (2126379)Instruction limit reached!
% 9.34/2.17 % (2126379)------------------------------
% 9.34/2.17 % (2126379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126379)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126379)Termination reason: Instruction limit
% 9.34/2.17 % (2126379)Termination phase: Saturation
% 9.34/2.17 % (2126379)Time elapsed: 0.234 s
% 9.34/2.17 % (2126379)Peak memory usage: 91 MB
% 9.34/2.17 % (2126379)Instructions burned: 326 (million)
% 9.34/2.17 % (2126388)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=2854059524:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 9.34/2.17 % (2126388)Instruction limit reached!
% 9.34/2.17 % (2126388)------------------------------
% 9.34/2.17 % (2126388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126388)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126388)Termination reason: Instruction limit
% 9.34/2.17 % (2126388)Termination phase: Saturation
% 9.34/2.17 % (2126388)Time elapsed: 0.041 s
% 9.34/2.17 % (2126388)Peak memory usage: 91 MB
% 9.34/2.17 % (2126388)Instructions burned: 114 (million)
% 9.34/2.17 % (2126383)------------------------------
% 9.34/2.17 % (2126383)------------------------------
% 9.34/2.17 % (2126390)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=540430991:i=127:av=off:fsr=off:sup=off_2993 on theBenchmark for (2993ds/127Mi)
% 9.34/2.17 % (2126392)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=1895181770:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 9.34/2.17 % (2126392)Instruction limit reached!
% 9.34/2.17 % (2126392)------------------------------
% 9.34/2.17 % (2126392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126392)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126392)Termination reason: Instruction limit
% 9.34/2.17 % (2126392)Termination phase: Saturation
% 9.34/2.17 % (2126392)Time elapsed: 0.038 s
% 9.34/2.17 % (2126392)Peak memory usage: 89 MB
% 9.34/2.17 % (2126392)Instructions burned: 116 (million)
% 9.34/2.17 % (2126390)Instruction limit reached!
% 9.34/2.17 % (2126390)------------------------------
% 9.34/2.17 % (2126390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126390)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126390)Termination reason: Instruction limit
% 9.34/2.17 % (2126390)Termination phase: Saturation
% 9.34/2.17 % (2126390)Time elapsed: 0.069 s
% 9.34/2.17 % (2126390)Peak memory usage: 89 MB
% 9.34/2.17 % (2126390)Instructions burned: 127 (million)
% 9.34/2.17 % (2126393)lrs+10_1_sil=8000:sp=occurrence:random_seed=2678652609:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 9.34/2.17 % (2126396)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=2006236412:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 9.34/2.17 % (2126396)Refutation not found, incomplete strategy
% 9.34/2.17 % (2126396)------------------------------
% 9.34/2.17 % (2126396)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.34/2.17 % (2126396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.34/2.17 % (2126396)CaDiCaL version: 2.1.3
% 9.34/2.17 % (2126396)Termination reason: Refutation not found, incomplete strategy
% 9.34/2.17 % (2126396)Time elapsed: 0.003 s
% 9.34/2.17 % (2126396)Peak memory usage: 88 MB
% 9.34/2.17 % (2126396)Instructions burned: 8 (million)
% 9.34/2.17 % (2126364)First to succeed.
% 9.34/2.17 % (2126364)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2126358"
% 9.34/2.17 % (2126397)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2715480205:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 9.34/2.17 % (2126363)Also succeeded, but the first one will report.
% 9.34/2.17 % (2126396)------------------------------
% 9.34/2.17 % (2126396)------------------------------
% 9.34/2.17 % (2126364)Refutation found. Thanks to Tanya!
% 9.34/2.17 % SZS status Theorem for theBenchmark
% 9.34/2.17 % SZS output start Proof for theBenchmark
% See solution above
% 9.70/2.27 % (2126364)------------------------------
% 9.70/2.27 % (2126364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.70/2.27 % (2126364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.70/2.27 % (2126364)CaDiCaL version: 2.1.3
% 9.70/2.27 % (2126364)Termination reason: Refutation
% 9.70/2.27 % (2126364)Time elapsed: 0.868 s
% 9.70/2.27 % (2126364)Peak memory usage: 132 MB
% 9.70/2.27 % (2126364)Instructions burned: 1237 (million)
% 9.70/2.27 % (2126364)------------------------------
% 9.70/2.27 % (2126364)------------------------------
% 9.70/2.27 % (2126358)Success in time 1.308 s
% 9.70/2.27 % Vampire exiting
%------------------------------------------------------------------------------