%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP652+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 : n002.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 10:15:19 AM UTC 2026
% Result : Theorem 10.25s 2.13s
% Output : Refutation 11.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 47
% Syntax : Number of formulae : 434 ( 57 unt; 21 def)
% Number of atoms : 2030 ( 255 equ)
% Maximal formula atoms : 26 ( 4 avg)
% Number of connectives : 2790 (1194 ~;1346 |; 175 &)
% ( 33 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 39 ( 37 usr; 22 prp; 0-3 aty)
% Number of functors : 22 ( 22 usr; 4 con; 0-4 aty)
% Number of variables : 450 ( 0 sgn 435 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0)) = k5_group_2(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t35_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0)) = k5_group_2(X1) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f10,axiom,
! [X0,X1] :
( X1 = k1_tarski(X0)
<=> ! [X2] :
( r2_hidden(X2,X1)
<=> X2 = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
fof(f11,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
=> ( X3 = k3_latsubgr(X0,X1,X2)
<=> ! [X4] :
( ( v1_group_1(X4)
& m1_group_2(X4,X0) )
=> ! [X5] :
( m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1)))
=> ( X5 = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4))
=> k1_funct_1(X3,X4) = k5_group_4(X1,X5) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_latsubgr) ).
fof(f12,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(f21,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(f22,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(f24,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ( v1_funct_1(k3_latsubgr(X0,X1,X2))
& v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_latsubgr) ).
fof(f26,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(f27,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
=> ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f28,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(f29,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f31,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f54,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(f56,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f69,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(f70,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(f71,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f72,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f73,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(f74,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,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ! [X4] :
~ ( r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
& ! [X5] :
( m1_subset_1(X5,X0)
=> ~ ( r2_hidden(X5,X2)
& X4 = k1_funct_1(X3,X5) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t116_funct_2) ).
fof(f79,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ( X1 = k18_group_2(u1_struct_0(X0),k2_group_1(X0))
=> r1_group_2(X0,k5_group_4(X0,X1),k5_group_2(X0)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_latsubgr) ).
fof(f80,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f81,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(f83,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t40_group_6) ).
fof(f84,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(f91,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0)) != k5_group_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(ennf_transformation,[],[f2]) ).
fof(f92,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0)) != k5_group_2(X1)
& v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
& ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
& ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) ),
inference(flattening,[],[f91]) ).
fof(f105,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k3_latsubgr(X0,X1,X2)
<=> ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f106,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X3 = k3_latsubgr(X0,X1,X2)
<=> ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f105]) ).
fof(f107,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,[],[f12]) ).
fof(f108,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,[],[f107]) ).
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,[],[f21]) ).
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,[],[f22]) ).
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,X2] :
( ( v1_funct_1(k3_latsubgr(X0,X1,X2))
& v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(ennf_transformation,[],[f24]) ).
fof(f122,plain,
! [X0,X1,X2] :
( ( v1_funct_1(k3_latsubgr(X0,X1,X2))
& v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
& m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
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,[],[f26]) ).
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] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(ennf_transformation,[],[f27]) ).
fof(f126,plain,
! [X0,X1] :
( ( v1_group_1(k5_group_4(X0,X1))
& m1_group_2(k5_group_4(X0,X1),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ),
inference(flattening,[],[f125]) ).
fof(f127,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,[],[f28]) ).
fof(f128,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,[],[f127]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f130,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f129]) ).
fof(f131,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f145,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f146,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f145]) ).
fof(f156,plain,
! [X0,X1] :
( k18_group_2(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f157,plain,
! [X0,X1] :
( k18_group_2(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f156]) ).
fof(f158,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,[],[f70]) ).
fof(f159,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,[],[f158]) ).
fof(f160,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f161,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f160]) ).
fof(f162,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f72]) ).
fof(f163,plain,
! [X0,X1,X2,X3] :
( k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f162]) ).
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(ennf_transformation,[],[f74]) ).
fof(f165,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,[],[f164]) ).
fof(f170,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| ? [X5] :
( r2_hidden(X5,X2)
& X4 = k1_funct_1(X3,X5)
& m1_subset_1(X5,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f78]) ).
fof(f171,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| ? [X5] :
( r2_hidden(X5,X2)
& X4 = k1_funct_1(X3,X5)
& m1_subset_1(X5,X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f170]) ).
fof(f172,plain,
! [X0] :
( ! [X1] :
( r1_group_2(X0,k5_group_4(X0,X1),k5_group_2(X0))
| k18_group_2(u1_struct_0(X0),k2_group_1(X0)) != X1
| ~ m1_subset_1(X1,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,[],[f79]) ).
fof(f173,plain,
! [X0] :
( ! [X1] :
( r1_group_2(X0,k5_group_4(X0,X1),k5_group_2(X0))
| k18_group_2(u1_struct_0(X0),k2_group_1(X0)) != X1
| ~ m1_subset_1(X1,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,[],[f172]) ).
fof(f174,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f80]) ).
fof(f175,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f81]) ).
fof(f176,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f175]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f177]) ).
fof(f179,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,[],[f84]) ).
fof(f180,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,[],[f179]) ).
fof(f187,plain,
( k1_funct_1(k3_latsubgr(sK0,sK1,sK2),k5_group_2(sK0)) != k5_group_2(sK1)
& v1_funct_1(sK2)
& v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& v1_group_6(sK2,sK0,sK1)
& m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
& ~ v3_struct_0(sK1)
& v3_group_1(sK1)
& v4_group_1(sK1)
& l1_group_1(sK1)
& ~ 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)],[f92]) ).
fof(f188,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X2] :
( ( r2_hidden(X2,X1)
| X0 != X2 )
& ( X2 = X0
| ~ r2_hidden(X2,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(nnf_transformation,[],[f10]) ).
fof(f189,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ? [X2] :
( ( X0 != X2
| ~ r2_hidden(X2,X1) )
& ( X2 = X0
| r2_hidden(X2,X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(rectify,[],[f188]) ).
fof(f190,plain,
! [X0,X1] :
( ( X1 = k1_tarski(X0)
| ( ( sK3(X0,X1) != X0
| ~ r2_hidden(sK3(X0,X1),X1) )
& ( sK3(X0,X1) = X0
| r2_hidden(sK3(X0,X1),X1) ) ) )
& ( ! [X3] :
( ( r2_hidden(X3,X1)
| X0 != X3 )
& ( X0 = X3
| ~ r2_hidden(X3,X1) ) )
| k1_tarski(X0) != X1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f189]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ? [X4] :
( ? [X5] :
( k1_funct_1(X3,X4) != k5_group_4(X1,X5)
& k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
& v1_group_1(X4)
& m1_group_2(X4,X0) ) )
& ( ! [X4] :
( ! [X5] :
( k1_funct_1(X3,X4) = k5_group_4(X1,X5)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) != X5
| ~ m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X4)
| ~ m1_group_2(X4,X0) )
| k3_latsubgr(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f106]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ? [X4] :
( ? [X5] :
( k1_funct_1(X3,X4) != k5_group_4(X1,X5)
& k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X4)) = X5
& m1_subset_1(X5,k1_zfmisc_1(u1_struct_0(X1))) )
& v1_group_1(X4)
& m1_group_2(X4,X0) ) )
& ( ! [X6] :
( ! [X7] :
( k1_funct_1(X3,X6) = k5_group_4(X1,X7)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)) != X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0) )
| k3_latsubgr(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f191]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ( k1_funct_1(X3,sK4(X0,X1,X2,X3)) != k5_group_4(X1,sK5(X0,X1,X2,X3))
& sK5(X0,X1,X2,X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(sK4(X0,X1,X2,X3)))
& m1_subset_1(sK5(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
& v1_group_1(sK4(X0,X1,X2,X3))
& m1_group_2(sK4(X0,X1,X2,X3),X0) ) )
& ( ! [X6] :
( ! [X7] :
( k1_funct_1(X3,X6) = k5_group_4(X1,X7)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)) != X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1))) )
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0) )
| k3_latsubgr(X0,X1,X2) != X3 ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) )
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X4,sK4(X0,X1,X2,X3)),skolemize(X5,sK5(X0,X1,X2,X3))],[f192]) ).
fof(f194,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,[],[f108]) ).
fof(f212,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,[],[f73]) ).
fof(f213,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,[],[f165]) ).
fof(f214,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| ( r2_hidden(sK23(X0,X2,X3,X4),X2)
& k1_funct_1(X3,sK23(X0,X2,X3,X4)) = X4
& m1_subset_1(sK23(X0,X2,X3,X4),X0) ) )
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23]),skolemize(X5,sK23(X0,X2,X3,X4))],[f171]) ).
fof(f216,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f187]) ).
fof(f217,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f187]) ).
fof(f218,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f187]) ).
fof(f219,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f187]) ).
fof(f220,plain,
l1_group_1(sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f221,plain,
v4_group_1(sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f222,plain,
v3_group_1(sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f223,plain,
~ v3_struct_0(sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f224,plain,
m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f187]) ).
fof(f225,plain,
v1_group_6(sK2,sK0,sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f226,plain,
v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(cnf_transformation,[],[f187]) ).
fof(f227,plain,
v1_funct_1(sK2),
inference(cnf_transformation,[],[f187]) ).
fof(f228,plain,
k1_funct_1(k3_latsubgr(sK0,sK1,sK2),k5_group_2(sK0)) != k5_group_2(sK1),
inference(cnf_transformation,[],[f187]) ).
fof(f242,plain,
! [X3,X0,X1] :
( X0 = X3
| ~ r2_hidden(X3,X1)
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f190]) ).
fof(f243,plain,
! [X3,X0,X1] :
( r2_hidden(X3,X1)
| X0 != X3
| k1_tarski(X0) != X1 ),
inference(cnf_transformation,[],[f190]) ).
fof(f244,plain,
! [X0,X1] :
( r2_hidden(sK3(X0,X1),X1)
| sK3(X0,X1) = X0
| k1_tarski(X0) = X1 ),
inference(cnf_transformation,[],[f190]) ).
fof(f245,plain,
! [X0,X1] :
( sK3(X0,X1) != X0
| k1_tarski(X0) = X1
| ~ r2_hidden(sK3(X0,X1),X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f246,plain,
! [X2,X3,X0,X1,X6,X7] :
( k1_funct_1(X3,X6) = k5_group_4(X1,X7)
| k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)) != X7
| ~ m1_subset_1(X7,k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0)
| k3_latsubgr(X0,X1,X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f252,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,[],[f194]) ).
fof(f263,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| m1_subset_1(k2_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X1))
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f118]) ).
fof(f264,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f265,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) ),
inference(cnf_transformation,[],[f122]) ).
fof(f266,plain,
! [X2,X0,X1] :
( v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f267,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v1_funct_1(k3_latsubgr(X0,X1,X2))
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) ),
inference(cnf_transformation,[],[f122]) ).
fof(f269,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(f270,plain,
! [X0] :
( v1_group_1(k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f271,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| m1_group_2(k5_group_4(X0,X1),X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f272,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v1_group_1(k5_group_4(X0,X1)) ),
inference(cnf_transformation,[],[f126]) ).
fof(f273,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(cnf_transformation,[],[f128]) ).
fof(f274,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f275,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f314,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f316,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f56]) ).
fof(f341,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k18_group_2(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f157]) ).
fof(f342,plain,
! [X2,X3,X0,X1] :
( ~ v1_funct_1(X2)
| k2_funct_2(X0,X1,X2,X3) = k9_relat_1(X2,X3)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f159]) ).
fof(f343,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k6_domain_1(X0,X1) = k1_tarski(X1) ),
inference(cnf_transformation,[],[f161]) ).
fof(f344,plain,
! [X2,X3,X0,X1] :
( ~ m1_subset_1(X3,X0)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3) ),
inference(cnf_transformation,[],[f163]) ).
fof(f345,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f212]) ).
fof(f347,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,[],[f213]) ).
fof(f353,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| k1_funct_1(X3,sK23(X0,X2,X3,X4)) = X4
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f354,plain,
! [X2,X3,X0,X1,X4] :
( ~ v1_funct_1(X3)
| r2_hidden(sK23(X0,X2,X3,X4),X2)
| ~ r2_hidden(X4,k2_funct_2(X0,X1,X3,X2))
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f214]) ).
fof(f355,plain,
! [X0,X1] :
( r1_group_2(X0,k5_group_4(X0,X1),k5_group_2(X0))
| k18_group_2(u1_struct_0(X0),k2_group_1(X0)) != X1
| ~ m1_subset_1(X1,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,[],[f173]) ).
fof(f356,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f357,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f176]) ).
fof(f360,plain,
! [X2,X0,X1] :
( ~ v1_funct_1(X2)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(X1)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f361,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,[],[f180]) ).
fof(f367,plain,
! [X3,X1] :
( r2_hidden(X3,X1)
| k1_tarski(X3) != X1 ),
inference(equality_resolution,[],[f243]) ).
fof(f368,plain,
! [X3] : r2_hidden(X3,k1_tarski(X3)),
inference(equality_resolution,[],[f367]) ).
fof(f369,plain,
! [X3,X0] :
( ~ r2_hidden(X3,k1_tarski(X0))
| X0 = X3 ),
inference(equality_resolution,[],[f242]) ).
fof(f370,plain,
! [X2,X3,X0,X1,X6] :
( k1_funct_1(X3,X6) = k5_group_4(X1,k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0)
| k3_latsubgr(X0,X1,X2) != X3
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m2_relset_1(X3,u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f246]) ).
fof(f371,plain,
! [X2,X0,X1,X6] :
( ~ m2_relset_1(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6)),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_group_1(X6)
| ~ m1_group_2(X6,X0)
| ~ v1_funct_1(k3_latsubgr(X0,X1,X2))
| ~ v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1)))
| k5_group_4(X1,k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X6))) = k1_funct_1(k3_latsubgr(X0,X1,X2),X6)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f370]) ).
fof(f372,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,[],[f252]) ).
fof(f374,plain,
! [X0] :
( ~ m1_subset_1(k18_group_2(u1_struct_0(X0),k2_group_1(X0)),k1_zfmisc_1(u1_struct_0(X0)))
| r1_group_2(X0,k5_group_4(X0,k18_group_2(u1_struct_0(X0),k2_group_1(X0))),k5_group_2(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(equality_resolution,[],[f355]) ).
fof(f375,plain,
! [X2,X3,X0,X1,X5] :
( ~ v1_funct_1(X3)
| ~ r2_hidden(X5,X0)
| ~ r2_hidden(X5,X2)
| k1_xboole_0 = X1
| r2_hidden(k1_funct_1(X3,X5),k9_relat_1(X3,X2))
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(equality_resolution,[],[f361]) ).
fof(f377,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,[],[f372,f270]) ).
fof(f378,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,[],[f377,f269]) ).
fof(f379,plain,
m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)),
inference(resolution,[],[f345,f224]) ).
fof(f381,plain,
! [X0,X1] :
( ~ m1_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v1_funct_1(k3_latsubgr(X0,X1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(X0),u1_struct_0(X1))
| v3_struct_0(X0) ),
inference(resolution,[],[f267,f227]) ).
fof(f382,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(sK2,X0,X1)
| ~ v1_funct_2(sK2,X0,X1)
| k2_funct_2(X0,X1,sK2,X2) = k9_relat_1(sK2,X2) ),
inference(resolution,[],[f342,f227]) ).
fof(f383,plain,
! [X0,X1] :
( ~ m2_relset_1(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_2(sK2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(sK2,X0,X1)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),sK2,k2_group_1(X0))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f360,f227]) ).
fof(f384,plain,
! [X0] :
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0) ),
inference(resolution,[],[f382,f379]) ).
fof(f385,plain,
! [X0] : k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0) = k9_relat_1(sK2,X0),
inference(forward_subsumption_resolution,[],[f384,f226]) ).
fof(f386,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK2,X0))
| k1_funct_1(sK2,sK23(u1_struct_0(sK0),X0,sK2,X1)) = X1
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(superposition,[],[f353,f385]) ).
fof(f387,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK2,X0))
| k1_funct_1(sK2,sK23(u1_struct_0(sK0),X0,sK2,X1)) = X1
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f386,f227]) ).
fof(f388,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK2,X0))
| k1_funct_1(sK2,sK23(u1_struct_0(sK0),X0,sK2,X1)) = X1
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f387,f226]) ).
fof(f389,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK2,X0))
| k1_funct_1(sK2,sK23(u1_struct_0(sK0),X0,sK2,X1)) = X1 ),
inference(forward_subsumption_resolution,[],[f388,f224]) ).
fof(f390,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(sK2,X0,X1)
| ~ v1_funct_2(sK2,X0,X1)
| m1_subset_1(k2_funct_2(X0,X1,sK2,X2),k1_zfmisc_1(X1)) ),
inference(resolution,[],[f263,f227]) ).
fof(f395,plain,
! [X0] :
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),k1_zfmisc_1(u1_struct_0(sK1))) ),
inference(resolution,[],[f390,f379]) ).
fof(f396,plain,
! [X0] : m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_subsumption_resolution,[],[f395,f226]) ).
fof(f397,plain,
! [X0] : m1_subset_1(k9_relat_1(sK2,X0),k1_zfmisc_1(u1_struct_0(sK1))),
inference(forward_demodulation,[],[f396,f385]) ).
fof(f407,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| k6_domain_1(u1_struct_0(sK1),k2_group_1(sK1)) = u1_struct_0(k5_group_2(sK1)) ),
inference(resolution,[],[f378,f220]) ).
fof(f408,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,[],[f378,f216]) ).
fof(f409,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,[],[f408,f219]) ).
fof(f410,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| k6_domain_1(u1_struct_0(sK1),k2_group_1(sK1)) = u1_struct_0(k5_group_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f407,f223]) ).
fof(f411,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,[],[f409,f218]) ).
fof(f412,plain,
( ~ v4_group_1(sK1)
| k6_domain_1(u1_struct_0(sK1),k2_group_1(sK1)) = u1_struct_0(k5_group_2(sK1)) ),
inference(forward_subsumption_resolution,[],[f410,f222]) ).
fof(f413,plain,
k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = u1_struct_0(k5_group_2(sK0)),
inference(forward_subsumption_resolution,[],[f411,f217]) ).
fof(f414,plain,
k6_domain_1(u1_struct_0(sK1),k2_group_1(sK1)) = u1_struct_0(k5_group_2(sK1)),
inference(forward_subsumption_resolution,[],[f412,f221]) ).
fof(f427,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ v1_group_6(sK2,sK0,sK1)
| k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f383,f224]) ).
fof(f428,plain,
( ~ v1_group_6(sK2,sK0,sK1)
| k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f427,f226]) ).
fof(f429,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f428,f225]) ).
fof(f430,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f429,f223]) ).
fof(f431,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f430,f222]) ).
fof(f432,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f431,f221]) ).
fof(f433,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f432,f220]) ).
fof(f434,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f433,f219]) ).
fof(f435,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f434,f218]) ).
fof(f436,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f435,f217]) ).
fof(f437,plain,
k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k2_group_1(sK1),
inference(forward_subsumption_resolution,[],[f436,f216]) ).
fof(f461,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X0,X2)
| ~ r2_hidden(X0,X1)
| k1_xboole_0 = X3
| r2_hidden(k1_funct_1(sK2,X0),k9_relat_1(sK2,X2))
| ~ v1_funct_2(sK2,X1,X3)
| ~ m2_relset_1(sK2,X1,X3) ),
inference(resolution,[],[f375,f227]) ).
fof(f463,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0) ),
inference(resolution,[],[f381,f379]) ).
fof(f464,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f463,f218]) ).
fof(f465,plain,
( ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f464,f217]) ).
fof(f466,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f465,f216]) ).
fof(f467,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f466,f223]) ).
fof(f468,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f467,f222]) ).
fof(f469,plain,
( ~ l1_group_1(sK1)
| v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f468,f221]) ).
fof(f470,plain,
( v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f469,f220]) ).
fof(f471,plain,
( v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| v3_struct_0(sK0) ),
inference(forward_subsumption_resolution,[],[f470,f226]) ).
fof(f472,plain,
v1_funct_1(k3_latsubgr(sK0,sK1,sK2)),
inference(forward_subsumption_resolution,[],[f471,f219]) ).
fof(f544,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(resolution,[],[f265,f379]) ).
fof(f545,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f544,f219]) ).
fof(f546,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f545,f218]) ).
fof(f547,plain,
( ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f546,f217]) ).
fof(f548,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f547,f216]) ).
fof(f549,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f548,f223]) ).
fof(f550,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f549,f222]) ).
fof(f551,plain,
( ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f550,f221]) ).
fof(f552,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f551,f220]) ).
fof(f553,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_subsumption_resolution,[],[f552,f227]) ).
fof(f554,plain,
m2_relset_1(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))),
inference(forward_subsumption_resolution,[],[f553,f226]) ).
fof(f555,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_1(k3_latsubgr(sK0,sK1,sK2))
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f554,f371]) ).
fof(f563,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f555,f472]) ).
fof(f567,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f563,f227]) ).
fof(f571,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f567,f226]) ).
fof(f575,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f571,f224]) ).
fof(f579,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f575,f223]) ).
fof(f583,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f579,f222]) ).
fof(f587,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f583,f221]) ).
fof(f591,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f587,f220]) ).
fof(f595,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f591,f219]) ).
fof(f597,definition,
( spl24_11
<=> v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
introduced(definition,[new_symbols(definition,[spl24_11])],[avatar_definition]) ).
fof(f598,plain,
( ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| spl24_11 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f611,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f595,f218]) ).
fof(f612,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0)
| ~ l1_group_1(sK0) ),
inference(forward_subsumption_resolution,[],[f611,f217]) ).
fof(f613,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0) ),
inference(forward_subsumption_resolution,[],[f612,f216]) ).
fof(f614,plain,
! [X0] :
( ~ m1_subset_1(k9_relat_1(sK2,u1_struct_0(X0)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0) ),
inference(forward_demodulation,[],[f613,f385]) ).
fof(f615,plain,
! [X0] :
( ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1)))
| k5_group_4(sK1,k2_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,u1_struct_0(X0))) = k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0) ),
inference(forward_subsumption_resolution,[],[f614,f397]) ).
fof(f616,plain,
! [X0] :
( k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0) = k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0)
| ~ v1_funct_2(k3_latsubgr(sK0,sK1,sK2),u1_struct_0(k11_group_4(sK0)),u1_struct_0(k11_group_4(sK1))) ),
inference(forward_demodulation,[],[f615,f385]) ).
fof(f618,definition,
( spl24_15
<=> ! [X0] :
( k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0) = k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(X0)))
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0) ) ),
introduced(definition,[new_symbols(definition,[spl24_15])],[avatar_definition]) ).
fof(f619,plain,
( ! [X0] :
( ~ m1_group_2(X0,sK0)
| k1_funct_1(k3_latsubgr(sK0,sK1,sK2),X0) = k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(X0)))
| ~ v1_group_1(X0) )
| ~ spl24_15 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f620,plain,
( ~ spl24_11
| spl24_15 ),
inference(avatar_split_clause,[],[f616,f618,f597]) ).
fof(f622,plain,
( v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(resolution,[],[f598,f266]) ).
fof(f624,plain,
( ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f622,f219]) ).
fof(f625,plain,
( ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f624,f218]) ).
fof(f626,plain,
( ~ l1_group_1(sK0)
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f625,f217]) ).
fof(f627,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f626,f216]) ).
fof(f628,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f627,f223]) ).
fof(f629,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f628,f222]) ).
fof(f630,plain,
( ~ l1_group_1(sK1)
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f629,f221]) ).
fof(f631,plain,
( ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f630,f220]) ).
fof(f632,plain,
( ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f631,f227]) ).
fof(f633,plain,
( ~ m1_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f632,f226]) ).
fof(f634,plain,
( $false
| spl24_11 ),
inference(forward_subsumption_resolution,[],[f633,f379]) ).
fof(f635,plain,
spl24_11,
inference(avatar_contradiction_clause,[],[f634]) ).
fof(f636,plain,
( k1_funct_1(k3_latsubgr(sK0,sK1,sK2),k5_group_2(sK0)) = k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ v1_group_1(k5_group_2(sK0))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl24_15 ),
inference(resolution,[],[f619,f269]) ).
fof(f637,plain,
( k1_funct_1(k3_latsubgr(sK0,sK1,sK2),k5_group_2(sK0)) = k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| v3_struct_0(sK0)
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl24_15 ),
inference(forward_subsumption_resolution,[],[f636,f270]) ).
fof(f638,plain,
( k1_funct_1(k3_latsubgr(sK0,sK1,sK2),k5_group_2(sK0)) = k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ v3_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl24_15 ),
inference(forward_subsumption_resolution,[],[f637,f219]) ).
fof(f639,plain,
( k1_funct_1(k3_latsubgr(sK0,sK1,sK2),k5_group_2(sK0)) = k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ v4_group_1(sK0)
| ~ l1_group_1(sK0)
| ~ spl24_15 ),
inference(forward_subsumption_resolution,[],[f638,f218]) ).
fof(f640,plain,
( k1_funct_1(k3_latsubgr(sK0,sK1,sK2),k5_group_2(sK0)) = k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ l1_group_1(sK0)
| ~ spl24_15 ),
inference(forward_subsumption_resolution,[],[f639,f217]) ).
fof(f641,plain,
( k1_funct_1(k3_latsubgr(sK0,sK1,sK2),k5_group_2(sK0)) = k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ spl24_15 ),
inference(forward_subsumption_resolution,[],[f640,f216]) ).
fof(f642,plain,
( k5_group_2(sK1) != k5_group_4(sK1,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ spl24_15 ),
inference(superposition,[],[f228,f641]) ).
fof(f724,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(X0))
| k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = k1_tarski(k2_group_1(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f343,f264]) ).
fof(f732,plain,
! [X2,X3,X0,X1] :
( ~ r2_hidden(X2,k2_funct_2(X0,X3,sK2,X1))
| r2_hidden(sK23(X0,X1,sK2,X2),X1)
| ~ v1_funct_2(sK2,X0,X3)
| ~ m2_relset_1(sK2,X0,X3) ),
inference(resolution,[],[f354,f227]) ).
fof(f734,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK2,X0))
| r2_hidden(sK23(u1_struct_0(sK0),X0,sK2,X1),X0)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(superposition,[],[f732,f385]) ).
fof(f735,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK2,X0))
| r2_hidden(sK23(u1_struct_0(sK0),X0,sK2,X1),X0)
| ~ m2_relset_1(sK2,u1_struct_0(sK0),u1_struct_0(sK1)) ),
inference(forward_subsumption_resolution,[],[f734,f226]) ).
fof(f736,plain,
! [X0,X1] :
( ~ r2_hidden(X1,k9_relat_1(sK2,X0))
| r2_hidden(sK23(u1_struct_0(sK0),X0,sK2,X1),X0) ),
inference(forward_subsumption_resolution,[],[f735,f224]) ).
fof(f740,plain,
! [X0] :
( ~ l1_group_1(X0)
| v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| r2_hidden(k2_group_1(X0),u1_struct_0(X0)) ),
inference(resolution,[],[f357,f264]) ).
fof(f831,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(resolution,[],[f274,f379]) ).
fof(f834,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f831,f227]) ).
fof(f842,plain,
! [X0] :
( v1_xboole_0(u1_struct_0(sK0))
| m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f834,f226]) ).
fof(f844,definition,
( spl24_35
<=> ! [X0] :
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1))
| ~ m1_subset_1(X0,u1_struct_0(sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl24_35])],[avatar_definition]) ).
fof(f845,plain,
( ! [X0] :
( ~ m1_subset_1(X0,u1_struct_0(sK0))
| m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,X0),u1_struct_0(sK1)) )
| ~ spl24_35 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f847,definition,
( spl24_36
<=> v1_xboole_0(u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl24_36])],[avatar_definition]) ).
fof(f848,plain,
( v1_xboole_0(u1_struct_0(sK0))
| ~ spl24_36 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f849,plain,
( spl24_35
| spl24_36 ),
inference(avatar_split_clause,[],[f842,f847,f844]) ).
fof(f850,plain,
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)),u1_struct_0(sK1))
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ spl24_35 ),
inference(resolution,[],[f845,f264]) ).
fof(f851,plain,
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)),u1_struct_0(sK1))
| ~ l1_group_1(sK0)
| ~ spl24_35 ),
inference(forward_subsumption_resolution,[],[f850,f219]) ).
fof(f852,plain,
( m1_subset_1(k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)),u1_struct_0(sK1))
| ~ spl24_35 ),
inference(forward_subsumption_resolution,[],[f851,f216]) ).
fof(f853,plain,
( m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1))
| ~ spl24_35 ),
inference(forward_demodulation,[],[f852,f437]) ).
fof(f855,plain,
( v1_xboole_0(u1_struct_0(sK1))
| k18_group_2(u1_struct_0(sK1),k2_group_1(sK1)) = k1_tarski(k2_group_1(sK1))
| ~ spl24_35 ),
inference(resolution,[],[f853,f341]) ).
fof(f856,plain,
( v1_xboole_0(u1_struct_0(sK1))
| k6_domain_1(u1_struct_0(sK1),k2_group_1(sK1)) = k1_tarski(k2_group_1(sK1))
| ~ spl24_35 ),
inference(resolution,[],[f853,f343]) ).
fof(f862,definition,
( spl24_38
<=> v1_xboole_0(u1_struct_0(sK1)) ),
introduced(definition,[new_symbols(definition,[spl24_38])],[avatar_definition]) ).
fof(f863,plain,
( v1_xboole_0(u1_struct_0(sK1))
| ~ spl24_38 ),
inference(avatar_component_clause,[],[f862]) ).
fof(f865,plain,
( u1_struct_0(k5_group_2(sK1)) = k1_tarski(k2_group_1(sK1))
| v1_xboole_0(u1_struct_0(sK1))
| ~ spl24_35 ),
inference(forward_demodulation,[],[f856,f414]) ).
fof(f867,definition,
( spl24_39
<=> k18_group_2(u1_struct_0(sK1),k2_group_1(sK1)) = k1_tarski(k2_group_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl24_39])],[avatar_definition]) ).
fof(f868,plain,
( k18_group_2(u1_struct_0(sK1),k2_group_1(sK1)) = k1_tarski(k2_group_1(sK1))
| ~ spl24_39 ),
inference(avatar_component_clause,[],[f867]) ).
fof(f875,definition,
( spl24_41
<=> u1_struct_0(k5_group_2(sK1)) = k1_tarski(k2_group_1(sK1)) ),
introduced(definition,[new_symbols(definition,[spl24_41])],[avatar_definition]) ).
fof(f876,plain,
( u1_struct_0(k5_group_2(sK1)) = k1_tarski(k2_group_1(sK1))
| ~ spl24_41 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f878,plain,
( v3_struct_0(sK0)
| ~ l1_struct_0(sK0)
| ~ spl24_36 ),
inference(resolution,[],[f848,f314]) ).
fof(f881,plain,
( ~ l1_struct_0(sK0)
| ~ spl24_36 ),
inference(forward_subsumption_resolution,[],[f878,f219]) ).
fof(f883,plain,
( ~ l1_group_1(sK0)
| ~ spl24_36 ),
inference(resolution,[],[f881,f275]) ).
fof(f885,plain,
( $false
| ~ spl24_36 ),
inference(forward_subsumption_resolution,[],[f883,f216]) ).
fof(f886,plain,
~ spl24_36,
inference(avatar_contradiction_clause,[],[f885]) ).
fof(f888,plain,
( spl24_39
| spl24_38
| ~ spl24_35 ),
inference(avatar_split_clause,[],[f855,f844,f862,f867]) ).
fof(f889,plain,
( spl24_38
| spl24_41
| ~ spl24_35 ),
inference(avatar_split_clause,[],[f865,f844,f875,f862]) ).
fof(f890,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl24_38 ),
inference(resolution,[],[f863,f314]) ).
fof(f893,plain,
( ~ l1_struct_0(sK1)
| ~ spl24_38 ),
inference(forward_subsumption_resolution,[],[f890,f223]) ).
fof(f895,plain,
( ~ l1_group_1(sK1)
| ~ spl24_38 ),
inference(resolution,[],[f893,f275]) ).
fof(f897,plain,
( $false
| ~ spl24_38 ),
inference(forward_subsumption_resolution,[],[f895,f220]) ).
fof(f898,plain,
~ spl24_38,
inference(avatar_contradiction_clause,[],[f897]) ).
fof(f972,plain,
( ~ m1_subset_1(k1_tarski(k2_group_1(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| r1_group_2(sK1,k5_group_4(sK1,k1_tarski(k2_group_1(sK1))),k5_group_2(sK1))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl24_39 ),
inference(superposition,[],[f374,f868]) ).
fof(f973,plain,
( ~ m1_subset_1(k1_tarski(k2_group_1(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| r1_group_2(sK1,k5_group_4(sK1,k1_tarski(k2_group_1(sK1))),k5_group_2(sK1))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl24_39 ),
inference(forward_subsumption_resolution,[],[f972,f223]) ).
fof(f974,plain,
( ~ m1_subset_1(k1_tarski(k2_group_1(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| r1_group_2(sK1,k5_group_4(sK1,k1_tarski(k2_group_1(sK1))),k5_group_2(sK1))
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ spl24_39 ),
inference(forward_subsumption_resolution,[],[f973,f222]) ).
fof(f975,plain,
( ~ m1_subset_1(k1_tarski(k2_group_1(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| r1_group_2(sK1,k5_group_4(sK1,k1_tarski(k2_group_1(sK1))),k5_group_2(sK1))
| ~ l1_group_1(sK1)
| ~ spl24_39 ),
inference(forward_subsumption_resolution,[],[f974,f221]) ).
fof(f976,plain,
( ~ m1_subset_1(k1_tarski(k2_group_1(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| r1_group_2(sK1,k5_group_4(sK1,k1_tarski(k2_group_1(sK1))),k5_group_2(sK1))
| ~ spl24_39 ),
inference(forward_subsumption_resolution,[],[f975,f220]) ).
fof(f977,plain,
( ~ m1_subset_1(u1_struct_0(k5_group_2(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| r1_group_2(sK1,k5_group_4(sK1,k1_tarski(k2_group_1(sK1))),k5_group_2(sK1))
| ~ spl24_39
| ~ spl24_41 ),
inference(forward_demodulation,[],[f976,f876]) ).
fof(f978,plain,
( r1_group_2(sK1,k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),k5_group_2(sK1))
| ~ m1_subset_1(u1_struct_0(k5_group_2(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl24_39
| ~ spl24_41 ),
inference(forward_demodulation,[],[f977,f876]) ).
fof(f980,definition,
( spl24_56
<=> m1_subset_1(u1_struct_0(k5_group_2(sK1)),k1_zfmisc_1(u1_struct_0(sK1))) ),
introduced(definition,[new_symbols(definition,[spl24_56])],[avatar_definition]) ).
fof(f983,definition,
( spl24_57
<=> r1_group_2(sK1,k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),k5_group_2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl24_57])],[avatar_definition]) ).
fof(f984,plain,
( r1_group_2(sK1,k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),k5_group_2(sK1))
| ~ spl24_57 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f985,plain,
( ~ spl24_56
| spl24_57
| ~ spl24_39
| ~ spl24_41 ),
inference(avatar_split_clause,[],[f978,f875,f867,f983,f980]) ).
fof(f1058,definition,
( spl24_70
<=> k1_xboole_0 = u1_struct_0(sK1) ),
introduced(definition,[new_symbols(definition,[spl24_70])],[avatar_definition]) ).
fof(f1059,plain,
( k1_xboole_0 = u1_struct_0(sK1)
| ~ spl24_70 ),
inference(avatar_component_clause,[],[f1058]) ).
fof(f1148,plain,
! [X0,X1] :
( r2_hidden(sK23(u1_struct_0(sK0),X1,sK2,sK3(X0,k9_relat_1(sK2,X1))),X1)
| k1_tarski(X0) = k9_relat_1(sK2,X1)
| sK3(X0,k9_relat_1(sK2,X1)) = X0 ),
inference(resolution,[],[f244,f736]) ).
fof(f1149,plain,
! [X0,X1] :
( sK3(X0,k9_relat_1(sK2,X1)) = k1_funct_1(sK2,sK23(u1_struct_0(sK0),X1,sK2,sK3(X0,k9_relat_1(sK2,X1))))
| k1_tarski(X0) = k9_relat_1(sK2,X1)
| sK3(X0,k9_relat_1(sK2,X1)) = X0 ),
inference(resolution,[],[f244,f389]) ).
fof(f1158,plain,
( m1_subset_1(u1_struct_0(k5_group_2(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ m1_subset_1(k2_group_1(sK1),u1_struct_0(sK1)) ),
inference(superposition,[],[f273,f414]) ).
fof(f1180,plain,
( m1_subset_1(u1_struct_0(k5_group_2(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| v1_xboole_0(u1_struct_0(sK1))
| ~ spl24_35 ),
inference(forward_subsumption_resolution,[],[f1158,f853]) ).
fof(f1181,plain,
( m1_subset_1(u1_struct_0(k5_group_2(sK1)),k1_zfmisc_1(u1_struct_0(sK1)))
| ~ spl24_56 ),
inference(avatar_component_clause,[],[f980]) ).
fof(f1182,plain,
( spl24_38
| spl24_56
| ~ spl24_35 ),
inference(avatar_split_clause,[],[f1180,f844,f980,f862]) ).
fof(f1184,plain,
( k5_group_2(sK1) = k5_group_4(sK1,u1_struct_0(k5_group_2(sK1)))
| v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ v1_group_1(k5_group_2(sK1))
| ~ m1_group_2(k5_group_2(sK1),sK1)
| ~ spl24_57 ),
inference(resolution,[],[f984,f347]) ).
fof(f1185,plain,
( k5_group_2(sK1) = k5_group_4(sK1,u1_struct_0(k5_group_2(sK1)))
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ v1_group_1(k5_group_2(sK1))
| ~ m1_group_2(k5_group_2(sK1),sK1)
| ~ spl24_57 ),
inference(forward_subsumption_resolution,[],[f1184,f223]) ).
fof(f1187,plain,
( k5_group_2(sK1) = k5_group_4(sK1,u1_struct_0(k5_group_2(sK1)))
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| ~ v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ v1_group_1(k5_group_2(sK1))
| ~ m1_group_2(k5_group_2(sK1),sK1)
| ~ spl24_57 ),
inference(forward_subsumption_resolution,[],[f1185,f222]) ).
fof(f1189,plain,
( k5_group_2(sK1) = k5_group_4(sK1,u1_struct_0(k5_group_2(sK1)))
| ~ l1_group_1(sK1)
| ~ v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ v1_group_1(k5_group_2(sK1))
| ~ m1_group_2(k5_group_2(sK1),sK1)
| ~ spl24_57 ),
inference(forward_subsumption_resolution,[],[f1187,f221]) ).
fof(f1191,plain,
( k5_group_2(sK1) = k5_group_4(sK1,u1_struct_0(k5_group_2(sK1)))
| ~ v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ v1_group_1(k5_group_2(sK1))
| ~ m1_group_2(k5_group_2(sK1),sK1)
| ~ spl24_57 ),
inference(forward_subsumption_resolution,[],[f1189,f220]) ).
fof(f1194,definition,
( spl24_86
<=> m1_group_2(k5_group_2(sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl24_86])],[avatar_definition]) ).
fof(f1195,plain,
( ~ m1_group_2(k5_group_2(sK1),sK1)
| spl24_86 ),
inference(avatar_component_clause,[],[f1194]) ).
fof(f1197,definition,
( spl24_87
<=> v1_group_1(k5_group_2(sK1)) ),
introduced(definition,[new_symbols(definition,[spl24_87])],[avatar_definition]) ).
fof(f1198,plain,
( ~ v1_group_1(k5_group_2(sK1))
| spl24_87 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1200,definition,
( spl24_88
<=> m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1) ),
introduced(definition,[new_symbols(definition,[spl24_88])],[avatar_definition]) ).
fof(f1201,plain,
( ~ m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| spl24_88 ),
inference(avatar_component_clause,[],[f1200]) ).
fof(f1203,definition,
( spl24_89
<=> v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1)))) ),
introduced(definition,[new_symbols(definition,[spl24_89])],[avatar_definition]) ).
fof(f1204,plain,
( ~ v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| spl24_89 ),
inference(avatar_component_clause,[],[f1203]) ).
fof(f1206,definition,
( spl24_90
<=> k5_group_2(sK1) = k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))) ),
introduced(definition,[new_symbols(definition,[spl24_90])],[avatar_definition]) ).
fof(f1207,plain,
( k5_group_2(sK1) = k5_group_4(sK1,u1_struct_0(k5_group_2(sK1)))
| ~ spl24_90 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1208,plain,
( ~ spl24_86
| ~ spl24_87
| ~ spl24_88
| ~ spl24_89
| spl24_90
| ~ spl24_57 ),
inference(avatar_split_clause,[],[f1191,f983,f1206,f1203,f1200,f1197,f1194]) ).
fof(f1214,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl24_86 ),
inference(resolution,[],[f1195,f269]) ).
fof(f1216,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl24_86 ),
inference(forward_subsumption_resolution,[],[f1214,f223]) ).
fof(f1217,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl24_86 ),
inference(forward_subsumption_resolution,[],[f1216,f222]) ).
fof(f1218,plain,
( ~ l1_group_1(sK1)
| spl24_86 ),
inference(forward_subsumption_resolution,[],[f1217,f221]) ).
fof(f1219,plain,
( $false
| spl24_86 ),
inference(forward_subsumption_resolution,[],[f1218,f220]) ).
fof(f1220,plain,
spl24_86,
inference(avatar_contradiction_clause,[],[f1219]) ).
fof(f1222,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl24_87 ),
inference(resolution,[],[f1198,f270]) ).
fof(f1224,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl24_87 ),
inference(forward_subsumption_resolution,[],[f1222,f223]) ).
fof(f1225,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| spl24_87 ),
inference(forward_subsumption_resolution,[],[f1224,f222]) ).
fof(f1226,plain,
( ~ l1_group_1(sK1)
| spl24_87 ),
inference(forward_subsumption_resolution,[],[f1225,f221]) ).
fof(f1227,plain,
( $false
| spl24_87 ),
inference(forward_subsumption_resolution,[],[f1226,f220]) ).
fof(f1228,plain,
spl24_87,
inference(avatar_contradiction_clause,[],[f1227]) ).
fof(f1236,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ spl24_56 ),
inference(resolution,[],[f1181,f271]) ).
fof(f1237,plain,
( v3_struct_0(sK1)
| ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ spl24_56 ),
inference(resolution,[],[f1181,f272]) ).
fof(f1247,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ spl24_56 ),
inference(forward_subsumption_resolution,[],[f1237,f223]) ).
fof(f1248,plain,
( ~ v3_group_1(sK1)
| ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ spl24_56 ),
inference(forward_subsumption_resolution,[],[f1236,f223]) ).
fof(f1249,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ spl24_56 ),
inference(forward_subsumption_resolution,[],[f1247,f222]) ).
fof(f1250,plain,
( ~ v4_group_1(sK1)
| ~ l1_group_1(sK1)
| m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ spl24_56 ),
inference(forward_subsumption_resolution,[],[f1248,f222]) ).
fof(f1251,plain,
( ~ l1_group_1(sK1)
| v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ spl24_56 ),
inference(forward_subsumption_resolution,[],[f1249,f221]) ).
fof(f1252,plain,
( ~ l1_group_1(sK1)
| m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ spl24_56 ),
inference(forward_subsumption_resolution,[],[f1250,f221]) ).
fof(f1253,plain,
( v1_group_1(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))))
| ~ spl24_56 ),
inference(forward_subsumption_resolution,[],[f1251,f220]) ).
fof(f1254,plain,
( m1_group_2(k5_group_4(sK1,u1_struct_0(k5_group_2(sK1))),sK1)
| ~ spl24_56 ),
inference(forward_subsumption_resolution,[],[f1252,f220]) ).
fof(f1255,plain,
( $false
| ~ spl24_56
| spl24_88 ),
inference(forward_subsumption_resolution,[],[f1254,f1201]) ).
fof(f1256,plain,
( ~ spl24_56
| spl24_88 ),
inference(avatar_contradiction_clause,[],[f1255]) ).
fof(f1257,plain,
( $false
| ~ spl24_56
| spl24_89 ),
inference(forward_subsumption_resolution,[],[f1204,f1253]) ).
fof(f1258,plain,
( ~ spl24_56
| spl24_89 ),
inference(avatar_contradiction_clause,[],[f1257]) ).
fof(f1398,plain,
( ~ v1_xboole_0(k1_xboole_0)
| v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl24_70 ),
inference(superposition,[],[f314,f1059]) ).
fof(f1409,plain,
( v3_struct_0(sK1)
| ~ l1_struct_0(sK1)
| ~ spl24_70 ),
inference(forward_subsumption_resolution,[],[f1398,f316]) ).
fof(f1422,plain,
( ~ l1_struct_0(sK1)
| ~ spl24_70 ),
inference(forward_subsumption_resolution,[],[f1409,f223]) ).
fof(f1453,plain,
( ~ l1_group_1(sK1)
| ~ spl24_70 ),
inference(resolution,[],[f1422,f275]) ).
fof(f1455,plain,
( $false
| ~ spl24_70 ),
inference(forward_subsumption_resolution,[],[f1453,f220]) ).
fof(f1456,plain,
~ spl24_70,
inference(avatar_contradiction_clause,[],[f1455]) ).
fof(f1910,plain,
! [X0] :
( k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = k1_tarski(k2_group_1(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(resolution,[],[f724,f314]) ).
fof(f1914,plain,
! [X0] :
( k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = k1_tarski(k2_group_1(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ l1_struct_0(X0) ),
inference(duplicate_literal_removal,[],[f1910]) ).
fof(f1915,plain,
! [X0] :
( v3_struct_0(X0)
| k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = k1_tarski(k2_group_1(X0))
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f1914,f275]) ).
fof(f1918,plain,
( k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = k1_tarski(k2_group_1(sK0))
| ~ l1_group_1(sK0) ),
inference(resolution,[],[f1915,f219]) ).
fof(f1921,plain,
k6_domain_1(u1_struct_0(sK0),k2_group_1(sK0)) = k1_tarski(k2_group_1(sK0)),
inference(forward_subsumption_resolution,[],[f1918,f216]) ).
fof(f1924,plain,
u1_struct_0(k5_group_2(sK0)) = k1_tarski(k2_group_1(sK0)),
inference(forward_demodulation,[],[f1921,f413]) ).
fof(f1928,plain,
r2_hidden(k2_group_1(sK0),u1_struct_0(k5_group_2(sK0))),
inference(superposition,[],[f368,f1924]) ).
fof(f1929,plain,
! [X0] :
( ~ r2_hidden(X0,u1_struct_0(k5_group_2(sK0)))
| k2_group_1(sK0) = X0 ),
inference(superposition,[],[f369,f1924]) ).
fof(f1935,definition,
( spl24_143
<=> r2_hidden(k1_funct_1(sK2,k2_group_1(sK0)),k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl24_143])],[avatar_definition]) ).
fof(f1936,plain,
( r2_hidden(k1_funct_1(sK2,k2_group_1(sK0)),k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ spl24_143 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f2016,plain,
! [X0] :
( k2_group_1(sK0) = sK23(u1_struct_0(sK0),u1_struct_0(k5_group_2(sK0)),sK2,sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))))
| k1_tarski(X0) = k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))
| sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))) = X0 ),
inference(resolution,[],[f1929,f1148]) ).
fof(f2022,plain,
! [X0,X1] :
( ~ r2_hidden(k2_group_1(sK0),X0)
| k1_xboole_0 = X1
| r2_hidden(k1_funct_1(sK2,k2_group_1(sK0)),k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ v1_funct_2(sK2,X0,X1)
| ~ m2_relset_1(sK2,X0,X1) ),
inference(resolution,[],[f1928,f461]) ).
fof(f2024,definition,
( spl24_149
<=> ! [X0,X1] :
( ~ r2_hidden(k2_group_1(sK0),X0)
| ~ m2_relset_1(sK2,X0,X1)
| ~ v1_funct_2(sK2,X0,X1)
| k1_xboole_0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl24_149])],[avatar_definition]) ).
fof(f2025,plain,
( ! [X0,X1] :
( ~ m2_relset_1(sK2,X0,X1)
| ~ r2_hidden(k2_group_1(sK0),X0)
| ~ v1_funct_2(sK2,X0,X1)
| k1_xboole_0 = X1 )
| ~ spl24_149 ),
inference(avatar_component_clause,[],[f2024]) ).
fof(f2026,plain,
( spl24_143
| spl24_149 ),
inference(avatar_split_clause,[],[f2022,f2024,f1935]) ).
fof(f2081,plain,
( ~ r2_hidden(k2_group_1(sK0),u1_struct_0(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| k1_xboole_0 = u1_struct_0(sK1)
| ~ spl24_149 ),
inference(resolution,[],[f2025,f224]) ).
fof(f2082,plain,
( ~ r2_hidden(k2_group_1(sK0),u1_struct_0(sK0))
| k1_xboole_0 = u1_struct_0(sK1)
| ~ spl24_149 ),
inference(forward_subsumption_resolution,[],[f2081,f226]) ).
fof(f2084,definition,
( spl24_159
<=> r2_hidden(k2_group_1(sK0),u1_struct_0(sK0)) ),
introduced(definition,[new_symbols(definition,[spl24_159])],[avatar_definition]) ).
fof(f2086,plain,
( spl24_70
| ~ spl24_159
| ~ spl24_149 ),
inference(avatar_split_clause,[],[f2082,f2024,f2084,f1058]) ).
fof(f2223,plain,
( v1_xboole_0(u1_struct_0(sK0))
| v3_struct_0(sK0)
| r2_hidden(k2_group_1(sK0),u1_struct_0(sK0)) ),
inference(resolution,[],[f740,f216]) ).
fof(f2227,plain,
( v1_xboole_0(u1_struct_0(sK0))
| r2_hidden(k2_group_1(sK0),u1_struct_0(sK0)) ),
inference(forward_subsumption_resolution,[],[f2223,f219]) ).
fof(f2259,plain,
( r2_hidden(k2_group_1(sK0),u1_struct_0(sK0))
| ~ spl24_159 ),
inference(avatar_component_clause,[],[f2084]) ).
fof(f2260,plain,
( spl24_159
| spl24_36 ),
inference(avatar_split_clause,[],[f2227,f847,f2084]) ).
fof(f2262,plain,
( m1_subset_1(k2_group_1(sK0),u1_struct_0(sK0))
| ~ spl24_159 ),
inference(resolution,[],[f2259,f356]) ).
fof(f2451,plain,
( ! [X0,X1] :
( v1_xboole_0(u1_struct_0(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),X1)
| ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| k1_funct_1(X0,k2_group_1(sK0)) = k8_funct_2(u1_struct_0(sK0),X1,X0,k2_group_1(sK0)) )
| ~ spl24_159 ),
inference(resolution,[],[f2262,f344]) ).
fof(f2453,definition,
( spl24_207
<=> ! [X0,X1] :
( ~ v1_funct_1(X0)
| k1_funct_1(X0,k2_group_1(sK0)) = k8_funct_2(u1_struct_0(sK0),X1,X0,k2_group_1(sK0))
| ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| ~ v1_funct_2(X0,u1_struct_0(sK0),X1) ) ),
introduced(definition,[new_symbols(definition,[spl24_207])],[avatar_definition]) ).
fof(f2454,plain,
( ! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(sK0),X1)
| k1_funct_1(X0,k2_group_1(sK0)) = k8_funct_2(u1_struct_0(sK0),X1,X0,k2_group_1(sK0))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(sK0),X1) )
| ~ spl24_207 ),
inference(avatar_component_clause,[],[f2453]) ).
fof(f2455,plain,
( spl24_207
| spl24_36
| ~ spl24_159 ),
inference(avatar_split_clause,[],[f2451,f2084,f847,f2453]) ).
fof(f3304,plain,
! [X0] :
( k1_funct_1(sK2,k2_group_1(sK0)) = sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| k1_tarski(X0) = k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))
| sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))) = X0
| k1_tarski(X0) = k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))
| sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))) = X0 ),
inference(superposition,[],[f1149,f2016]) ).
fof(f3305,plain,
! [X0] :
( k1_funct_1(sK2,k2_group_1(sK0)) = sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))) = X0
| k1_tarski(X0) = k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))) ),
inference(duplicate_literal_removal,[],[f3304]) ).
fof(f3313,plain,
! [X0] :
( X0 != X0
| k1_tarski(X0) = k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))
| ~ r2_hidden(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| k1_funct_1(sK2,k2_group_1(sK0)) = sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| k1_tarski(X0) = k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))) ),
inference(superposition,[],[f245,f3305]) ).
fof(f3316,plain,
! [X0] :
( X0 != X0
| k1_tarski(X0) = k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))
| ~ r2_hidden(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| k1_funct_1(sK2,k2_group_1(sK0)) = sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))) ),
inference(duplicate_literal_removal,[],[f3313]) ).
fof(f3317,plain,
! [X0] :
( ~ r2_hidden(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| k1_tarski(X0) = k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))
| k1_funct_1(sK2,k2_group_1(sK0)) = sK3(X0,k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))) ),
inference(trivial_inequality_removal,[],[f3316]) ).
fof(f3324,plain,
( k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))) = k1_tarski(k1_funct_1(sK2,k2_group_1(sK0)))
| k1_funct_1(sK2,k2_group_1(sK0)) = sK3(k1_funct_1(sK2,k2_group_1(sK0)),k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ spl24_143 ),
inference(resolution,[],[f3317,f1936]) ).
fof(f3328,definition,
( spl24_330
<=> k1_funct_1(sK2,k2_group_1(sK0)) = sK3(k1_funct_1(sK2,k2_group_1(sK0)),k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))) ),
introduced(definition,[new_symbols(definition,[spl24_330])],[avatar_definition]) ).
fof(f3329,plain,
( k1_funct_1(sK2,k2_group_1(sK0)) = sK3(k1_funct_1(sK2,k2_group_1(sK0)),k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ spl24_330 ),
inference(avatar_component_clause,[],[f3328]) ).
fof(f3331,definition,
( spl24_331
<=> k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))) = k1_tarski(k1_funct_1(sK2,k2_group_1(sK0))) ),
introduced(definition,[new_symbols(definition,[spl24_331])],[avatar_definition]) ).
fof(f3332,plain,
( k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))) = k1_tarski(k1_funct_1(sK2,k2_group_1(sK0)))
| ~ spl24_331 ),
inference(avatar_component_clause,[],[f3331]) ).
fof(f3333,plain,
( spl24_330
| spl24_331
| ~ spl24_143 ),
inference(avatar_split_clause,[],[f3324,f1935,f3331,f3328]) ).
fof(f3334,plain,
( k1_funct_1(sK2,k2_group_1(sK0)) != k1_funct_1(sK2,k2_group_1(sK0))
| k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))) = k1_tarski(k1_funct_1(sK2,k2_group_1(sK0)))
| ~ r2_hidden(k1_funct_1(sK2,k2_group_1(sK0)),k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ spl24_330 ),
inference(superposition,[],[f245,f3329]) ).
fof(f3335,plain,
( k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))) = k1_tarski(k1_funct_1(sK2,k2_group_1(sK0)))
| ~ r2_hidden(k1_funct_1(sK2,k2_group_1(sK0)),k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))))
| ~ spl24_330 ),
inference(trivial_inequality_removal,[],[f3334]) ).
fof(f3336,plain,
( k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))) = k1_tarski(k1_funct_1(sK2,k2_group_1(sK0)))
| ~ spl24_143
| ~ spl24_330 ),
inference(forward_subsumption_resolution,[],[f3335,f1936]) ).
fof(f3337,plain,
( spl24_331
| ~ spl24_143
| ~ spl24_330 ),
inference(avatar_split_clause,[],[f3336,f3328,f1935,f3331]) ).
fof(f3929,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k1_funct_1(sK2,k2_group_1(sK0))
| ~ v1_funct_1(sK2)
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl24_207 ),
inference(resolution,[],[f2454,f379]) ).
fof(f3930,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k1_funct_1(sK2,k2_group_1(sK0))
| ~ v1_funct_2(sK2,u1_struct_0(sK0),u1_struct_0(sK1))
| ~ spl24_207 ),
inference(forward_subsumption_resolution,[],[f3929,f227]) ).
fof(f3931,plain,
( k8_funct_2(u1_struct_0(sK0),u1_struct_0(sK1),sK2,k2_group_1(sK0)) = k1_funct_1(sK2,k2_group_1(sK0))
| ~ spl24_207 ),
inference(forward_subsumption_resolution,[],[f3930,f226]) ).
fof(f3932,plain,
( k2_group_1(sK1) = k1_funct_1(sK2,k2_group_1(sK0))
| ~ spl24_207 ),
inference(forward_demodulation,[],[f3931,f437]) ).
fof(f3957,plain,
( k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0))) = k1_tarski(k2_group_1(sK1))
| ~ spl24_207
| ~ spl24_331 ),
inference(superposition,[],[f3332,f3932]) ).
fof(f3961,plain,
( u1_struct_0(k5_group_2(sK1)) = k9_relat_1(sK2,u1_struct_0(k5_group_2(sK0)))
| ~ spl24_41
| ~ spl24_207
| ~ spl24_331 ),
inference(forward_demodulation,[],[f3957,f876]) ).
fof(f3965,plain,
( k5_group_2(sK1) != k5_group_4(sK1,u1_struct_0(k5_group_2(sK1)))
| ~ spl24_15
| ~ spl24_41
| ~ spl24_207
| ~ spl24_331 ),
inference(superposition,[],[f642,f3961]) ).
fof(f4032,plain,
( $false
| ~ spl24_15
| ~ spl24_41
| ~ spl24_90
| ~ spl24_207
| ~ spl24_331 ),
inference(forward_subsumption_resolution,[],[f3965,f1207]) ).
fof(f4033,plain,
( ~ spl24_15
| ~ spl24_41
| ~ spl24_90
| ~ spl24_207
| ~ spl24_331 ),
inference(avatar_contradiction_clause,[],[f4032]) ).
cnf(s10,plain,
( ~ spl24_11
| spl24_15 ),
inference(sat_conversion,[],[f620]) ).
cnf(s12,plain,
spl24_11,
inference(sat_conversion,[],[f635]) ).
cnf(s23,plain,
( spl24_35
| spl24_36 ),
inference(sat_conversion,[],[f849]) ).
cnf(s29,plain,
~ spl24_36,
inference(sat_conversion,[],[f886]) ).
cnf(s31,plain,
( ~ spl24_35
| spl24_38
| spl24_39 ),
inference(sat_conversion,[],[f888]) ).
cnf(s32,plain,
( ~ spl24_35
| spl24_38
| spl24_41 ),
inference(sat_conversion,[],[f889]) ).
cnf(s34,plain,
~ spl24_38,
inference(sat_conversion,[],[f898]) ).
cnf(s42,plain,
( ~ spl24_39
| ~ spl24_41
| ~ spl24_56
| spl24_57 ),
inference(sat_conversion,[],[f985]) ).
cnf(s68,plain,
( ~ spl24_35
| spl24_38
| spl24_56 ),
inference(sat_conversion,[],[f1182]) ).
cnf(s69,plain,
( ~ spl24_57
| ~ spl24_86
| ~ spl24_87
| ~ spl24_88
| ~ spl24_89
| spl24_90 ),
inference(sat_conversion,[],[f1208]) ).
cnf(s72,plain,
spl24_86,
inference(sat_conversion,[],[f1220]) ).
cnf(s74,plain,
spl24_87,
inference(sat_conversion,[],[f1228]) ).
cnf(s78,plain,
( ~ spl24_56
| spl24_88 ),
inference(sat_conversion,[],[f1256]) ).
cnf(s79,plain,
( ~ spl24_56
| spl24_89 ),
inference(sat_conversion,[],[f1258]) ).
cnf(s88,plain,
~ spl24_70,
inference(sat_conversion,[],[f1456]) ).
cnf(s133,plain,
( spl24_143
| spl24_149 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s139,plain,
( spl24_70
| ~ spl24_149
| ~ spl24_159 ),
inference(sat_conversion,[],[f2086]) ).
cnf(s158,plain,
( spl24_36
| spl24_159 ),
inference(sat_conversion,[],[f2260]) ).
cnf(s181,plain,
( spl24_36
| ~ spl24_159
| spl24_207 ),
inference(sat_conversion,[],[f2455]) ).
cnf(s261,plain,
( ~ spl24_143
| spl24_330
| spl24_331 ),
inference(sat_conversion,[],[f3333]) ).
cnf(s262,plain,
( ~ spl24_143
| ~ spl24_330
| spl24_331 ),
inference(sat_conversion,[],[f3337]) ).
cnf(s309,plain,
( ~ spl24_15
| ~ spl24_41
| ~ spl24_90
| ~ spl24_207
| ~ spl24_331 ),
inference(sat_conversion,[],[f4033]) ).
cnf(s331,plain,
( ~ spl24_57
| ~ spl24_88
| ~ spl24_89
| spl24_90 ),
inference(rat,[],[s69,s74,s72]) ).
cnf(s341,plain,
( ~ spl24_35
| spl24_41 ),
inference(rat,[],[s32,s34]) ).
cnf(s342,plain,
( ~ spl24_35
| spl24_39 ),
inference(rat,[],[s31,s34]) ).
cnf(s348,plain,
spl24_159,
inference(rat,[],[s158,s29]) ).
cnf(s353,plain,
spl24_207,
inference(rat,[],[s181,s29,s348]) ).
cnf(s354,plain,
~ spl24_149,
inference(rat,[],[s139,s88,s348]) ).
cnf(s358,plain,
spl24_143,
inference(rat,[],[s133,s354]) ).
cnf(s378,plain,
spl24_35,
inference(rat,[],[s23,s29]) ).
cnf(s379,plain,
spl24_56,
inference(rat,[],[s68,s34,s378]) ).
cnf(s380,plain,
spl24_41,
inference(rat,[],[s341,s378]) ).
cnf(s381,plain,
spl24_39,
inference(rat,[],[s342,s378]) ).
cnf(s384,plain,
spl24_89,
inference(rat,[],[s79,s379]) ).
cnf(s385,plain,
spl24_88,
inference(rat,[],[s78,s379]) ).
cnf(s388,plain,
spl24_57,
inference(rat,[],[s42,s380,s379,s381]) ).
cnf(s393,plain,
spl24_90,
inference(rat,[],[s331,s385,s384,s388]) ).
cnf(s404,plain,
spl24_15,
inference(rat,[],[s10,s12]) ).
cnf(s405,plain,
~ spl24_331,
inference(rat,[],[s309,s393,s353,s380,s404]) ).
cnf(s407,plain,
~ spl24_330,
inference(rat,[],[s262,s358,s405]) ).
cnf(s408,plain,
$false,
inference(rat,[],[s261,s358,s405,s407]) ).
fof(f4034,plain,
$false,
inference(avatar_sat_refutation,[],[s408]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP652+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n002.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:32:49 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 10.25/2.13 % (3343559)Detected formulas, will run a generic FOF schedule.
% 10.25/2.13 % (3343569)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2648935038:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 10.25/2.13 % (3343564)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=3749619075:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 10.25/2.13 % (3343568)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3025951729:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 10.25/2.13 % (3343567)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3615629823:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 10.25/2.13 % (3343565)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=258755953:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 10.25/2.13 % (3343570)dis-21_1_sil=8000:lcm=predicate:random_seed=2445165412: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)
% 10.25/2.13 % (3343566)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=1410476390:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 10.25/2.13 % (3343567)Refutation not found, incomplete strategy
% 10.25/2.13 % (3343567)------------------------------
% 10.25/2.13 % (3343567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343567)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343567)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.13 % (3343567)Time elapsed: 0.006 s
% 10.25/2.13 % (3343567)Peak memory usage: 88 MB
% 10.25/2.13 % (3343567)Instructions burned: 8 (million)
% 10.25/2.13 % (3343569)Instruction limit reached!
% 10.25/2.13 % (3343569)------------------------------
% 10.25/2.13 % (3343569)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343569)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343569)Termination reason: Instruction limit
% 10.25/2.13 % (3343569)Termination phase: Saturation
% 10.25/2.13 % (3343569)Time elapsed: 0.053 s
% 10.25/2.13 % (3343569)Peak memory usage: 90 MB
% 10.25/2.13 % (3343569)Instructions burned: 140 (million)
% 10.25/2.13 % (3343570)Instruction limit reached!
% 10.25/2.13 % (3343570)------------------------------
% 10.25/2.13 % (3343570)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343570)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343570)Termination reason: Instruction limit
% 10.25/2.13 % (3343570)Termination phase: Saturation
% 10.25/2.13 % (3343570)Time elapsed: 0.071 s
% 10.25/2.13 % (3343570)Peak memory usage: 91 MB
% 10.25/2.13 % (3343570)Instructions burned: 130 (million)
% 10.25/2.13 % (3343568)Instruction limit reached!
% 10.25/2.13 % (3343568)------------------------------
% 10.25/2.13 % (3343568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343568)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343568)Termination reason: Instruction limit
% 10.25/2.13 % (3343568)Termination phase: Saturation
% 10.25/2.13 % (3343568)Time elapsed: 0.074 s
% 10.25/2.13 % (3343568)Peak memory usage: 88 MB
% 10.25/2.13 % (3343568)Instructions burned: 120 (million)
% 10.25/2.13 % (3343578)lrs+10_1_sil=8000:sp=occurrence:random_seed=2881908646:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 10.25/2.13 % (3343579)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1773461595:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 10.25/2.13 % (3343580)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3169505556:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 10.25/2.13 % (3343579)Refutation not found, incomplete strategy
% 10.25/2.13 % (3343579)------------------------------
% 10.25/2.13 % (3343579)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343579)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343579)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343579)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.13 % (3343579)Time elapsed: 0.006 s
% 10.25/2.13 % (3343579)Peak memory usage: 88 MB
% 10.25/2.13 % (3343579)Instructions burned: 9 (million)
% 10.25/2.13 % (3343578)Instruction limit reached!
% 10.25/2.13 % (3343578)------------------------------
% 10.25/2.13 % (3343578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343578)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343578)Termination reason: Instruction limit
% 10.25/2.13 % (3343578)Termination phase: Saturation
% 10.25/2.13 % (3343578)Time elapsed: 0.094 s
% 10.25/2.13 % (3343578)Peak memory usage: 91 MB
% 10.25/2.13 % (3343578)Instructions burned: 286 (million)
% 10.25/2.13 % (3343567)------------------------------
% 10.25/2.13 % (3343567)------------------------------
% 10.25/2.13 % (3343584)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=2733663919:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 10.25/2.13 % (3343584)Instruction limit reached!
% 10.25/2.13 % (3343584)------------------------------
% 10.25/2.13 % (3343584)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343584)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343584)Termination reason: Instruction limit
% 10.25/2.13 % (3343584)Termination phase: Saturation
% 10.25/2.13 % (3343584)Time elapsed: 0.079 s
% 10.25/2.13 % (3343584)Peak memory usage: 90 MB
% 10.25/2.13 % (3343584)Instructions burned: 248 (million)
% 10.25/2.13 % (3343585)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2591842757:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 10.25/2.13 % (3343585)Refutation not found, incomplete strategy
% 10.25/2.13 % (3343585)------------------------------
% 10.25/2.13 % (3343585)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343585)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343585)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.13 % (3343585)Time elapsed: 0.004 s
% 10.25/2.13 % (3343585)Peak memory usage: 88 MB
% 10.25/2.13 % (3343585)Instructions burned: 6 (million)
% 10.25/2.13 % (3343580)Instruction limit reached!
% 10.25/2.13 % (3343580)------------------------------
% 10.25/2.13 % (3343580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343580)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343580)Termination reason: Instruction limit
% 10.25/2.13 % (3343580)Termination phase: Saturation
% 10.25/2.13 % (3343580)Time elapsed: 0.203 s
% 10.25/2.13 % (3343580)Peak memory usage: 92 MB
% 10.25/2.13 % (3343580)Instructions burned: 325 (million)
% 10.25/2.13 % (3343579)------------------------------
% 10.25/2.13 % (3343579)------------------------------
% 10.25/2.13 % (3343588)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=3845322512:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 10.25/2.13 % (3343589)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1869962471:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 10.25/2.13 % (3343590)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2596440708:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 10.25/2.13 % (3343589)Instruction limit reached!
% 10.25/2.13 % (3343589)------------------------------
% 10.25/2.13 % (3343589)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343589)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343589)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343589)Termination reason: Instruction limit
% 10.25/2.13 % (3343589)Termination phase: Saturation
% 10.25/2.13 % (3343589)Time elapsed: 0.067 s
% 10.25/2.13 % (3343589)Peak memory usage: 90 MB
% 10.25/2.13 % (3343589)Instructions burned: 114 (million)
% 10.25/2.13 % (3343585)------------------------------
% 10.25/2.13 % (3343585)------------------------------
% 10.25/2.13 % (3343590)Instruction limit reached!
% 10.25/2.13 % (3343590)------------------------------
% 10.25/2.13 % (3343590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343590)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343590)Termination reason: Instruction limit
% 10.25/2.13 % (3343590)Termination phase: Saturation
% 10.25/2.13 % (3343590)Time elapsed: 0.068 s
% 10.25/2.13 % (3343590)Peak memory usage: 88 MB
% 10.25/2.13 % (3343590)Instructions burned: 129 (million)
% 10.25/2.13 % (3343594)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3011426148:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 10.25/2.13 % (3343595)lrs+10_1_sil=8000:sp=occurrence:random_seed=3854422651:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 10.25/2.13 % (3343596)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1728366895:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 10.25/2.13 % (3343596)Refutation not found, incomplete strategy
% 10.25/2.13 % (3343596)------------------------------
% 10.25/2.13 % (3343596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343596)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343596)Termination reason: Refutation not found, incomplete strategy
% 10.25/2.13 % (3343596)Time elapsed: 0.006 s
% 10.25/2.13 % (3343596)Peak memory usage: 88 MB
% 10.25/2.13 % (3343596)Instructions burned: 8 (million)
% 10.25/2.13 % (3343594)Instruction limit reached!
% 10.25/2.13 % (3343594)------------------------------
% 10.25/2.13 % (3343594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343594)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343594)Termination reason: Instruction limit
% 10.25/2.13 % (3343594)Termination phase: Saturation
% 10.25/2.13 % (3343594)Time elapsed: 0.065 s
% 10.25/2.13 % (3343594)Peak memory usage: 89 MB
% 10.25/2.13 % (3343594)Instructions burned: 115 (million)
% 10.25/2.13 % (3343600)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=775212684:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 10.25/2.13 % (3343596)------------------------------
% 10.25/2.13 % (3343596)------------------------------
% 10.25/2.13 % (3343565)First to succeed.
% 10.25/2.13 % (3343565)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3343559"
% 10.25/2.13 % (3343602)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=644301263:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 10.25/2.13 % (3343602)Instruction limit reached!
% 10.25/2.13 % (3343602)------------------------------
% 10.25/2.13 % (3343602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343602)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343602)Termination reason: Instruction limit
% 10.25/2.13 % (3343602)Termination phase: Saturation
% 10.25/2.13 % (3343602)Time elapsed: 0.079 s
% 10.25/2.13 % (3343602)Peak memory usage: 90 MB
% 10.25/2.13 % (3343602)Instructions burned: 135 (million)
% 10.25/2.13 % (3343595)Instruction limit reached!
% 10.25/2.13 % (3343595)------------------------------
% 10.25/2.13 % (3343595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.25/2.13 % (3343595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.25/2.13 % (3343595)CaDiCaL version: 2.1.3
% 10.25/2.13 % (3343595)Termination reason: Instruction limit
% 10.25/2.13 % (3343595)Termination phase: Saturation
% 10.25/2.13 % (3343595)Time elapsed: 0.533 s
% 10.25/2.13 % (3343595)Peak memory usage: 101 MB
% 10.25/2.13 % (3343595)Instructions burned: 908 (million)
% 10.25/2.13 % (3343604)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=3633455027:st=8:i=592:sd=3:ep=RST:ss=axioms_2986 on theBenchmark for (2986ds/592Mi)
% 10.25/2.13 % (3343565)Refutation found. Thanks to Tanya!
% 10.25/2.13 % SZS status Theorem for theBenchmark
% 10.25/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 11.12/2.32 % (3343565)------------------------------
% 11.12/2.32 % (3343565)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.12/2.32 % (3343565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.12/2.32 % (3343565)CaDiCaL version: 2.1.3
% 11.12/2.32 % (3343565)Termination reason: Refutation
% 11.12/2.32 % (3343565)Time elapsed: 1.124 s
% 11.12/2.32 % (3343565)Peak memory usage: 136 MB
% 11.12/2.32 % (3343565)Instructions burned: 1617 (million)
% 11.12/2.32 % (3343565)------------------------------
% 11.12/2.32 % (3343565)------------------------------
% 11.12/2.32 % (3343559)Success in time 1.517 s
% 11.12/2.32 % Vampire exiting
%------------------------------------------------------------------------------