%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP652+2 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 138.19s 39.08s
% Output : Refutation 272.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 47
% Number of leaves : 38
% Syntax : Number of formulae : 436 ( 102 unt; 6 def)
% Number of atoms : 2293 ( 246 equ)
% Maximal formula atoms : 26 ( 5 avg)
% Number of connectives : 3318 (1461 ~;1585 |; 208 &)
% ( 12 <=>; 52 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 22 ( 20 usr; 1 prp; 0-3 aty)
% Number of functors : 33 ( 33 usr; 9 con; 0-4 aty)
% Number of variables : 520 ( 507 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f258,axiom,
! [X0] : k2_tarski(X0,X0) = k1_tarski(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t69_enumset1) ).
fof(f1055,axiom,
! [X0,X1] :
( ( v1_relat_1(X1)
& v1_funct_1(X1) )
=> ( r2_hidden(X0,k1_relat_1(X1))
=> k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t117_funct_1) ).
fof(f1257,axiom,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
=> v1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_relset_1) ).
fof(f1316,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f1318,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f1330,axiom,
! [X0,X1,X2] :
( m1_relset_1(X2,X0,X1)
=> k4_relset_1(X0,X1,X2) = k1_relat_1(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k4_relset_1) ).
fof(f1404,axiom,
! [X0,X1,X2] :
( ( v1_funct_1(X2)
& m2_relset_1(X2,X0,X1) )
=> k10_relat_1(X2,X1) = k4_relset_1(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t53_partfun1) ).
fof(f1890,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/sandbox2/benchmark/theBenchmark.p',redefinition_k2_funct_2) ).
fof(f1892,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k3_funct_2) ).
fof(f1902,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/sandbox2/benchmark/theBenchmark.p',redefinition_k8_funct_2) ).
fof(f1962,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X0)
& m1_subset_1(X1,X0) )
=> k6_domain_1(X0,X1) = k1_tarski(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_domain_1) ).
fof(f3396,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f3553,axiom,
! [X0] :
( l1_struct_0(X0)
=> ! [X1] :
( r1_rlvect_1(X0,X1)
<=> r2_hidden(X1,u1_struct_0(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_rlvect_1) ).
fof(f3808,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f3812,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_group_1) ).
fof(f4399,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> r1_rlvect_1(X1,k2_group_1(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_group_2) ).
fof(f4407,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> m1_group_2(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t63_group_2) ).
fof(f4417,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/sandbox2/benchmark/theBenchmark.p',d7_group_2) ).
fof(f4433,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> k7_group_2(X0,X1) = u1_struct_0(X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_group_2) ).
fof(f4540,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f4544,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/sandbox2/benchmark/theBenchmark.p',redefinition_r1_group_2) ).
fof(f4549,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/sandbox2/benchmark/theBenchmark.p',dt_k5_group_2) ).
fof(f4551,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_group_2(X1,X0) )
=> m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k7_group_2) ).
fof(f5045,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) )
=> r1_group_2(X0,k5_group_4(X0,k7_group_2(X0,X1)),X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t40_group_4) ).
fof(f5102,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> u1_struct_0(k11_group_4(X0)) = k1_group_3(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t92_group_4) ).
fof(f5116,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/sandbox2/benchmark/theBenchmark.p',dt_k5_group_4) ).
fof(f5234,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ( ~ v3_struct_0(k5_group_2(X0))
& v1_group_1(k5_group_2(X0))
& v2_group_1(k5_group_2(X0))
& v3_group_1(k5_group_2(X0))
& v4_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_group_6) ).
fof(f5287,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/sandbox2/benchmark/theBenchmark.p',t40_group_6) ).
fof(f5638,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/sandbox2/benchmark/theBenchmark.p',dt_k3_latsubgr) ).
fof(f5645,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)) )
=> ! [X3] :
( m1_group_2(X3,X1)
=> ? [X4] :
( v1_group_1(X4)
& m1_group_2(X4,X0)
& u1_struct_0(X4) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_latsubgr) ).
fof(f5673,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/sandbox2/benchmark/theBenchmark.p',d3_latsubgr) ).
fof(f5676,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/sandbox2/benchmark/theBenchmark.p',t35_latsubgr) ).
fof(f5677,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)],[f5676]) ).
fof(f5808,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,[],[f5638]) ).
fof(f5809,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,[],[f5808]) ).
fof(f5822,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ? [X4] :
( v1_group_1(X4)
& m1_group_2(X4,X0)
& u1_struct_0(X4) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
| ~ m1_group_2(X3,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,[],[f5645]) ).
fof(f5823,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ? [X4] :
( v1_group_1(X4)
& m1_group_2(X4,X0)
& u1_struct_0(X4) = k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) )
| ~ m1_group_2(X3,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,[],[f5822]) ).
fof(f5866,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,[],[f5673]) ).
fof(f5867,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,[],[f5866]) ).
fof(f5872,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k5_group_2(X1) != k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0))
& 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,[],[f5677]) ).
fof(f5873,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( k5_group_2(X1) != k1_funct_1(k3_latsubgr(X0,X1,X2),k5_group_2(X0))
& 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,[],[f5872]) ).
fof(f5910,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f4540]) ).
fof(f5911,plain,
! [X0] :
( ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& l1_group_1(X1) )
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5910]) ).
fof(f5916,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f4407]) ).
fof(f5917,plain,
! [X0] :
( m1_group_2(X0,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5916]) ).
fof(f5928,plain,
! [X0] :
( u1_struct_0(k11_group_4(X0)) = k1_group_3(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f5102]) ).
fof(f5929,plain,
! [X0] :
( u1_struct_0(k11_group_4(X0)) = k1_group_3(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f5928]) ).
fof(f5990,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,[],[f4544]) ).
fof(f5991,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,[],[f5990]) ).
fof(f5998,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,[],[f5116]) ).
fof(f5999,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,[],[f5998]) ).
fof(f6004,plain,
! [X0] :
( ! [X1] :
( r1_group_2(X0,k5_group_4(X0,k7_group_2(X0,X1)),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(ennf_transformation,[],[f5045]) ).
fof(f6005,plain,
! [X0] :
( ! [X1] :
( r1_group_2(X0,k5_group_4(X0,k7_group_2(X0,X1)),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(flattening,[],[f6004]) ).
fof(f6072,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,[],[f1890]) ).
fof(f6073,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,[],[f6072]) ).
fof(f6090,plain,
! [X0,X1,X2,X3] :
( k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1892]) ).
fof(f6091,plain,
! [X0,X1,X2,X3] :
( k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f6090]) ).
fof(f6148,plain,
! [X0] :
( ! [X1] :
( r1_rlvect_1(X1,k2_group_1(X0))
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f4399]) ).
fof(f6149,plain,
! [X0] :
( ! [X1] :
( r1_rlvect_1(X1,k2_group_1(X0))
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f6148]) ).
fof(f6154,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3812]) ).
fof(f6155,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f6154]) ).
fof(f6162,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,[],[f4549]) ).
fof(f6163,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,[],[f6162]) ).
fof(f6172,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,[],[f4417]) ).
fof(f6173,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,[],[f6172]) ).
fof(f6359,plain,
! [X0,X1,X2] :
( m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1316]) ).
fof(f6360,plain,
! [X0,X1,X2] :
( v1_relat_1(X2)
| ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f1257]) ).
fof(f6553,plain,
! [X0,X1] :
( m1_subset_1(k7_group_2(X0,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(X1,X0) ),
inference(ennf_transformation,[],[f4551]) ).
fof(f6554,plain,
! [X0,X1] :
( m1_subset_1(k7_group_2(X0,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(X1,X0) ),
inference(flattening,[],[f6553]) ).
fof(f6569,plain,
! [X0] :
( ! [X1] :
( k7_group_2(X0,X1) = u1_struct_0(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,[],[f4433]) ).
fof(f6570,plain,
! [X0] :
( ! [X1] :
( k7_group_2(X0,X1) = u1_struct_0(X1)
| ~ m1_group_2(X1,X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f6569]) ).
fof(f6603,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(ennf_transformation,[],[f1055]) ).
fof(f6604,plain,
! [X0,X1] :
( k9_relat_1(X1,k1_tarski(X0)) = k1_tarski(k1_funct_1(X1,X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(flattening,[],[f6603]) ).
fof(f6794,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(ennf_transformation,[],[f1962]) ).
fof(f6795,plain,
! [X0,X1] :
( k6_domain_1(X0,X1) = k1_tarski(X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(flattening,[],[f6794]) ).
fof(f7137,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f3808]) ).
fof(f7140,plain,
! [X0] :
( ! [X1] :
( r1_rlvect_1(X0,X1)
<=> r2_hidden(X1,u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f3553]) ).
fof(f7144,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f3396]) ).
fof(f7145,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f7144]) ).
fof(f7184,plain,
! [X0] :
( ( ~ v3_struct_0(k5_group_2(X0))
& v1_group_1(k5_group_2(X0))
& v2_group_1(k5_group_2(X0))
& v3_group_1(k5_group_2(X0))
& v4_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f5234]) ).
fof(f7185,plain,
! [X0] :
( ( ~ v3_struct_0(k5_group_2(X0))
& v1_group_1(k5_group_2(X0))
& v2_group_1(k5_group_2(X0))
& v3_group_1(k5_group_2(X0))
& v4_group_1(k5_group_2(X0))
& v1_group_3(k5_group_2(X0),X0) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f7184]) ).
fof(f7899,plain,
! [X0,X1,X2] :
( k10_relat_1(X2,X1) = k4_relset_1(X0,X1,X2)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1404]) ).
fof(f7900,plain,
! [X0,X1,X2] :
( k10_relat_1(X2,X1) = k4_relset_1(X0,X1,X2)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X0,X1) ),
inference(flattening,[],[f7899]) ).
fof(f7915,plain,
! [X0,X1,X2] :
( k4_relset_1(X0,X1,X2) = k1_relat_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f1330]) ).
fof(f7993,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,[],[f5287]) ).
fof(f7994,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,[],[f7993]) ).
fof(f7999,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,[],[f1902]) ).
fof(f8000,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,[],[f7999]) ).
fof(f8440,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( v1_group_1(sK35(X0,X1,X2,X3))
& m1_group_2(sK35(X0,X1,X2,X3),X0)
& k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) = u1_struct_0(sK35(X0,X1,X2,X3)) )
| ~ m1_group_2(X3,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(skolemize,[status(esa),new_symbols(skolem,[sK35]),skolemize(X4,sK35(X0,X1,X2,X3))],[f5823]) ).
fof(f8448,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,[],[f5867]) ).
fof(f8449,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,[],[f8448]) ).
fof(f8450,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( X3 = k3_latsubgr(X0,X1,X2)
| ( k1_funct_1(X3,sK37(X0,X1,X2,X3)) != k5_group_4(X1,sK38(X0,X1,X2,X3))
& sK38(X0,X1,X2,X3) = k2_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(sK37(X0,X1,X2,X3)))
& m1_subset_1(sK38(X0,X1,X2,X3),k1_zfmisc_1(u1_struct_0(X1)))
& v1_group_1(sK37(X0,X1,X2,X3))
& m1_group_2(sK37(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,[sK37,sK38]),skolemize(X4,sK37(X0,X1,X2,X3)),skolemize(X5,sK38(X0,X1,X2,X3))],[f8449]) ).
fof(f8451,plain,
( k5_group_2(sK40) != k1_funct_1(k3_latsubgr(sK39,sK40,sK41),k5_group_2(sK39))
& v1_funct_1(sK41)
& v1_funct_2(sK41,u1_struct_0(sK39),u1_struct_0(sK40))
& v1_group_6(sK41,sK39,sK40)
& m2_relset_1(sK41,u1_struct_0(sK39),u1_struct_0(sK40))
& ~ v3_struct_0(sK40)
& v3_group_1(sK40)
& v4_group_1(sK40)
& l1_group_1(sK40)
& ~ v3_struct_0(sK39)
& v3_group_1(sK39)
& v4_group_1(sK39)
& l1_group_1(sK39) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK39,sK40,sK41]),skolemize(X0,sK39),skolemize(X1,sK40),skolemize(X2,sK41)],[f5873]) ).
fof(f8485,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,[],[f1318]) ).
fof(f8499,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,[],[f5991]) ).
fof(f8530,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,[],[f6173]) ).
fof(f8818,plain,
! [X0] :
( ! [X1] :
( ( r1_rlvect_1(X0,X1)
| ~ r2_hidden(X1,u1_struct_0(X0)) )
& ( r2_hidden(X1,u1_struct_0(X0))
| ~ r1_rlvect_1(X0,X1) ) )
| ~ l1_struct_0(X0) ),
inference(nnf_transformation,[],[f7140]) ).
fof(f9230,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,[],[f5809]) ).
fof(f9231,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))
| v1_funct_2(k3_latsubgr(X0,X1,X2),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(X1))) ),
inference(cnf_transformation,[],[f5809]) ).
fof(f9232,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))
| v1_funct_1(k3_latsubgr(X0,X1,X2)) ),
inference(cnf_transformation,[],[f5809]) ).
fof(f9245,plain,
! [X2,X3,X0,X1] :
( ~ m1_group_2(X3,X1)
| k3_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,u1_struct_0(X3)) = u1_struct_0(sK35(X0,X1,X2,X3))
| ~ 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(cnf_transformation,[],[f8440]) ).
fof(f9246,plain,
! [X2,X3,X0,X1] :
( ~ m1_group_2(X3,X1)
| m1_group_2(sK35(X0,X1,X2,X3),X0)
| ~ 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(cnf_transformation,[],[f8440]) ).
fof(f9277,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,[],[f8450]) ).
fof(f9285,plain,
l1_group_1(sK39),
inference(cnf_transformation,[],[f8451]) ).
fof(f9286,plain,
v4_group_1(sK39),
inference(cnf_transformation,[],[f8451]) ).
fof(f9287,plain,
v3_group_1(sK39),
inference(cnf_transformation,[],[f8451]) ).
fof(f9288,plain,
~ v3_struct_0(sK39),
inference(cnf_transformation,[],[f8451]) ).
fof(f9289,plain,
l1_group_1(sK40),
inference(cnf_transformation,[],[f8451]) ).
fof(f9290,plain,
v4_group_1(sK40),
inference(cnf_transformation,[],[f8451]) ).
fof(f9291,plain,
v3_group_1(sK40),
inference(cnf_transformation,[],[f8451]) ).
fof(f9292,plain,
~ v3_struct_0(sK40),
inference(cnf_transformation,[],[f8451]) ).
fof(f9293,plain,
m2_relset_1(sK41,u1_struct_0(sK39),u1_struct_0(sK40)),
inference(cnf_transformation,[],[f8451]) ).
fof(f9294,plain,
v1_group_6(sK41,sK39,sK40),
inference(cnf_transformation,[],[f8451]) ).
fof(f9295,plain,
v1_funct_2(sK41,u1_struct_0(sK39),u1_struct_0(sK40)),
inference(cnf_transformation,[],[f8451]) ).
fof(f9296,plain,
v1_funct_1(sK41),
inference(cnf_transformation,[],[f8451]) ).
fof(f9297,plain,
k5_group_2(sK40) != k1_funct_1(k3_latsubgr(sK39,sK40,sK41),k5_group_2(sK39)),
inference(cnf_transformation,[],[f8451]) ).
fof(f9368,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5911]) ).
fof(f9373,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_2(X0,X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5917]) ).
fof(f9383,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f8485]) ).
fof(f9393,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| k1_group_3(X0) = u1_struct_0(k11_group_4(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f5929]) ).
fof(f9481,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,[],[f8499]) ).
fof(f9490,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,[],[f5999]) ).
fof(f9491,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,[],[f5999]) ).
fof(f9494,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| r1_group_2(X0,k5_group_4(X0,k7_group_2(X0,X1)),X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f6005]) ).
fof(f9577,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| k9_relat_1(X2,X3) = k2_funct_2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6073]) ).
fof(f9597,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k10_relat_1(X2,X3) = k3_funct_2(X0,X1,X2,X3) ),
inference(cnf_transformation,[],[f6091]) ).
fof(f9652,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| r1_rlvect_1(X1,k2_group_1(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f6149]) ).
fof(f9655,plain,
! [X0] :
( ~ l1_group_1(X0)
| v3_struct_0(X0)
| m1_subset_1(k2_group_1(X0),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f6155]) ).
fof(f9661,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| m1_group_2(k5_group_2(X0),X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f6163]) ).
fof(f9668,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,[],[f8530]) ).
fof(f9991,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f6359]) ).
fof(f9992,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1)))
| v1_relat_1(X2) ),
inference(cnf_transformation,[],[f6360]) ).
fof(f10250,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| m1_subset_1(k7_group_2(X0,X1),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f6554]) ).
fof(f10264,plain,
! [X0,X1] :
( ~ m1_group_2(X1,X0)
| u1_struct_0(X1) = k7_group_2(X0,X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f6570]) ).
fof(f10284,plain,
! [X0,X1] :
( k1_tarski(k1_funct_1(X1,X0)) = k9_relat_1(X1,k1_tarski(X0))
| ~ r2_hidden(X0,k1_relat_1(X1))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(cnf_transformation,[],[f6604]) ).
fof(f10516,plain,
! [X0,X1] :
( k1_tarski(X1) = k6_domain_1(X0,X1)
| v1_xboole_0(X0)
| ~ m1_subset_1(X1,X0) ),
inference(cnf_transformation,[],[f6795]) ).
fof(f10927,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7137]) ).
fof(f10929,plain,
! [X0,X1] :
( ~ r1_rlvect_1(X0,X1)
| r2_hidden(X1,u1_struct_0(X0))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f8818]) ).
fof(f10936,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f7145]) ).
fof(f10975,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| v1_group_1(k5_group_2(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f7185]) ).
fof(f11250,plain,
! [X0] : k1_tarski(X0) = k2_tarski(X0,X0),
inference(cnf_transformation,[],[f258]) ).
fof(f11845,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k10_relat_1(X2,X1) = k4_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f7900]) ).
fof(f11866,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| k1_relat_1(X2) = k4_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f7915]) ).
fof(f11949,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| k2_group_1(X1) = k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0))
| ~ 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,[],[f7994]) ).
fof(f11959,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)
| k1_funct_1(X2,X3) = k8_funct_2(X0,X1,X2,X3)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f8000]) ).
fof(f12674,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k1_relat_1(X1))
| k2_tarski(k1_funct_1(X1,X0),k1_funct_1(X1,X0)) = k9_relat_1(X1,k2_tarski(X0,X0))
| ~ v1_relat_1(X1)
| ~ v1_funct_1(X1) ),
inference(definition_unfolding,[],[f10284,f11250,f11250]) ).
fof(f12745,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,X0)
| v1_xboole_0(X0)
| k6_domain_1(X0,X1) = k2_tarski(X1,X1) ),
inference(definition_unfolding,[],[f10516,f11250]) ).
fof(f13327,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,[],[f9277]) ).
fof(f13328,plain,
! [X2,X0,X1,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)))
| 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_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)))
| ~ m2_relset_1(k3_latsubgr(X0,X1,X2),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,[],[f13327]) ).
fof(f13360,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,[],[f9668]) ).
fof(f13646,definition,
sF467 = k5_group_2(sK40),
introduced(definition,[new_symbols(definition,[sF467])],[function_definition]) ).
fof(f13647,plain,
k5_group_2(sK40) = sF467,
inference(reorient_equations,[],[f13646]) ).
fof(f13648,definition,
sF468 = k3_latsubgr(sK39,sK40,sK41),
introduced(definition,[new_symbols(definition,[sF468])],[function_definition]) ).
fof(f13649,plain,
k3_latsubgr(sK39,sK40,sK41) = sF468,
inference(reorient_equations,[],[f13648]) ).
fof(f13650,definition,
sF469 = k5_group_2(sK39),
introduced(definition,[new_symbols(definition,[sF469])],[function_definition]) ).
fof(f13651,plain,
k5_group_2(sK39) = sF469,
inference(reorient_equations,[],[f13650]) ).
fof(f13652,definition,
sF470 = k1_funct_1(sF468,sF469),
introduced(definition,[new_symbols(definition,[sF470])],[function_definition]) ).
fof(f13653,plain,
k1_funct_1(sF468,sF469) = sF470,
inference(reorient_equations,[],[f13652]) ).
fof(f13654,plain,
sF467 != sF470,
inference(definition_folding,[],[f9297,f13653,f13651,f13649,f13647]) ).
fof(f13655,definition,
sF471 = u1_struct_0(sK39),
introduced(definition,[new_symbols(definition,[sF471])],[function_definition]) ).
fof(f13656,plain,
u1_struct_0(sK39) = sF471,
inference(reorient_equations,[],[f13655]) ).
fof(f13657,definition,
sF472 = u1_struct_0(sK40),
introduced(definition,[new_symbols(definition,[sF472])],[function_definition]) ).
fof(f13658,plain,
u1_struct_0(sK40) = sF472,
inference(reorient_equations,[],[f13657]) ).
fof(f13659,plain,
v1_funct_2(sK41,sF471,sF472),
inference(definition_folding,[],[f9295,f13658,f13656]) ).
fof(f13660,plain,
m2_relset_1(sK41,sF471,sF472),
inference(definition_folding,[],[f9293,f13658,f13656]) ).
fof(f13777,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,[],[f13360,f10975]) ).
fof(f13836,plain,
! [X0] :
( ~ v4_group_1(X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| k6_domain_1(u1_struct_0(X0),k2_group_1(X0)) = u1_struct_0(k5_group_2(X0))
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f13777,f9661]) ).
fof(f13907,plain,
m1_relset_1(sK41,sF471,sF472),
inference(resolution,[],[f9383,f13660]) ).
fof(f13929,plain,
m1_subset_1(sK41,k1_zfmisc_1(k2_zfmisc_1(sF471,sF472))),
inference(resolution,[],[f9991,f13660]) ).
fof(f13962,plain,
( v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| v1_group_1(k5_group_2(sK39))
| ~ l1_group_1(sK39) ),
inference(resolution,[],[f10975,f9286]) ).
fof(f13963,plain,
( v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| v1_group_1(k5_group_2(sK40))
| ~ l1_group_1(sK40) ),
inference(resolution,[],[f10975,f9290]) ).
fof(f13968,plain,
( ~ v3_group_1(sK40)
| v1_group_1(k5_group_2(sK40))
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f13963,f9292]) ).
fof(f13969,plain,
( ~ v3_group_1(sK39)
| v1_group_1(k5_group_2(sK39))
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f13962,f9288]) ).
fof(f13972,plain,
( v1_group_1(k5_group_2(sK40))
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f13968,f9291]) ).
fof(f13973,plain,
( v1_group_1(k5_group_2(sK39))
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f13969,f9287]) ).
fof(f13974,plain,
v1_group_1(k5_group_2(sK40)),
inference(forward_subsumption_resolution,[],[f13972,f9289]) ).
fof(f13975,plain,
v1_group_1(k5_group_2(sK39)),
inference(forward_subsumption_resolution,[],[f13973,f9285]) ).
fof(f13976,plain,
v1_group_1(sF467),
inference(forward_demodulation,[],[f13974,f13647]) ).
fof(f13977,plain,
v1_group_1(sF469),
inference(forward_demodulation,[],[f13975,f13651]) ).
fof(f13980,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_1(k3_latsubgr(X1,sK40,X0)) ),
inference(superposition,[],[f9232,f13658]) ).
fof(f13983,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_1(k3_latsubgr(X1,sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f13980,f9292]) ).
fof(f13987,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_1(k3_latsubgr(X1,sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f13983,f9291]) ).
fof(f13991,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_1(k3_latsubgr(X1,sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f13987,f9290]) ).
fof(f13995,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_1(k3_latsubgr(X1,sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f13991,f9289]) ).
fof(f13999,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472)
| v1_funct_1(k3_latsubgr(sK39,sK40,X0)) ),
inference(superposition,[],[f13995,f13656]) ).
fof(f14000,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472)
| v1_funct_1(k3_latsubgr(sK39,sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f13999,f9288]) ).
fof(f14002,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472)
| v1_funct_1(k3_latsubgr(sK39,sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f14000,f9287]) ).
fof(f14004,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472)
| v1_funct_1(k3_latsubgr(sK39,sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f14002,f9286]) ).
fof(f14006,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472)
| v1_funct_1(k3_latsubgr(sK39,sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f14004,f9285]) ).
fof(f14008,plain,
( ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472)
| v1_funct_1(k3_latsubgr(sK39,sK40,sK41)) ),
inference(resolution,[],[f14006,f13907]) ).
fof(f14009,plain,
( ~ v1_funct_2(sK41,sF471,sF472)
| v1_funct_1(k3_latsubgr(sK39,sK40,sK41)) ),
inference(forward_subsumption_resolution,[],[f14008,f9296]) ).
fof(f14010,plain,
v1_funct_1(k3_latsubgr(sK39,sK40,sK41)),
inference(forward_subsumption_resolution,[],[f14009,f13659]) ).
fof(f14011,plain,
v1_funct_1(sF468),
inference(forward_demodulation,[],[f14010,f13649]) ).
fof(f14022,plain,
l1_struct_0(sK39),
inference(resolution,[],[f10927,f9285]) ).
fof(f14023,plain,
l1_struct_0(sK40),
inference(resolution,[],[f10927,f9289]) ).
fof(f14028,plain,
! [X0] :
( ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472)
| k9_relat_1(sK41,X0) = k2_funct_2(sF471,sF472,sK41,X0) ),
inference(resolution,[],[f9577,f13907]) ).
fof(f14029,plain,
! [X0] :
( ~ v1_funct_2(sK41,sF471,sF472)
| k9_relat_1(sK41,X0) = k2_funct_2(sF471,sF472,sK41,X0) ),
inference(forward_subsumption_resolution,[],[f14028,f9296]) ).
fof(f14030,plain,
! [X0] : k9_relat_1(sK41,X0) = k2_funct_2(sF471,sF472,sK41,X0),
inference(forward_subsumption_resolution,[],[f14029,f13659]) ).
fof(f14031,plain,
( ~ v1_xboole_0(sF472)
| v3_struct_0(sK40)
| ~ l1_struct_0(sK40) ),
inference(superposition,[],[f10936,f13658]) ).
fof(f14032,plain,
( ~ v1_xboole_0(sF471)
| v3_struct_0(sK39)
| ~ l1_struct_0(sK39) ),
inference(superposition,[],[f10936,f13656]) ).
fof(f14033,plain,
( ~ v1_xboole_0(sF471)
| ~ l1_struct_0(sK39) ),
inference(forward_subsumption_resolution,[],[f14032,f9288]) ).
fof(f14034,plain,
( ~ v1_xboole_0(sF472)
| ~ l1_struct_0(sK40) ),
inference(forward_subsumption_resolution,[],[f14031,f9292]) ).
fof(f14035,plain,
~ v1_xboole_0(sF471),
inference(forward_subsumption_resolution,[],[f14033,f14022]) ).
fof(f14036,plain,
~ v1_xboole_0(sF472),
inference(forward_subsumption_resolution,[],[f14034,f14023]) ).
fof(f14037,plain,
( v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| k6_domain_1(u1_struct_0(sK39),k2_group_1(sK39)) = u1_struct_0(k5_group_2(sK39))
| ~ l1_group_1(sK39) ),
inference(resolution,[],[f13836,f9286]) ).
fof(f14038,plain,
( v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| k6_domain_1(u1_struct_0(sK40),k2_group_1(sK40)) = u1_struct_0(k5_group_2(sK40))
| ~ l1_group_1(sK40) ),
inference(resolution,[],[f13836,f9290]) ).
fof(f14043,plain,
( ~ v3_group_1(sK40)
| k6_domain_1(u1_struct_0(sK40),k2_group_1(sK40)) = u1_struct_0(k5_group_2(sK40))
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14038,f9292]) ).
fof(f14044,plain,
( ~ v3_group_1(sK39)
| k6_domain_1(u1_struct_0(sK39),k2_group_1(sK39)) = u1_struct_0(k5_group_2(sK39))
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f14037,f9288]) ).
fof(f14047,plain,
( k6_domain_1(u1_struct_0(sK40),k2_group_1(sK40)) = u1_struct_0(k5_group_2(sK40))
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14043,f9291]) ).
fof(f14048,plain,
( k6_domain_1(u1_struct_0(sK39),k2_group_1(sK39)) = u1_struct_0(k5_group_2(sK39))
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f14044,f9287]) ).
fof(f14049,plain,
k6_domain_1(u1_struct_0(sK40),k2_group_1(sK40)) = u1_struct_0(k5_group_2(sK40)),
inference(forward_subsumption_resolution,[],[f14047,f9289]) ).
fof(f14050,plain,
k6_domain_1(u1_struct_0(sK39),k2_group_1(sK39)) = u1_struct_0(k5_group_2(sK39)),
inference(forward_subsumption_resolution,[],[f14048,f9285]) ).
fof(f14051,plain,
k6_domain_1(u1_struct_0(sK40),k2_group_1(sK40)) = u1_struct_0(sF467),
inference(forward_demodulation,[],[f14049,f13647]) ).
fof(f14052,plain,
k6_domain_1(u1_struct_0(sK39),k2_group_1(sK39)) = u1_struct_0(sF469),
inference(forward_demodulation,[],[f14050,f13651]) ).
fof(f14053,plain,
u1_struct_0(sF467) = k6_domain_1(sF472,k2_group_1(sK40)),
inference(forward_demodulation,[],[f14051,f13658]) ).
fof(f14054,plain,
u1_struct_0(sF469) = k6_domain_1(sF471,k2_group_1(sK39)),
inference(forward_demodulation,[],[f14052,f13656]) ).
fof(f14057,plain,
v1_relat_1(sK41),
inference(resolution,[],[f13929,f9992]) ).
fof(f14058,plain,
( v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| k1_group_3(sK39) = u1_struct_0(k11_group_4(sK39))
| ~ l1_group_1(sK39) ),
inference(resolution,[],[f9393,f9286]) ).
fof(f14059,plain,
( v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| k1_group_3(sK40) = u1_struct_0(k11_group_4(sK40))
| ~ l1_group_1(sK40) ),
inference(resolution,[],[f9393,f9290]) ).
fof(f14064,plain,
( ~ v3_group_1(sK40)
| k1_group_3(sK40) = u1_struct_0(k11_group_4(sK40))
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14059,f9292]) ).
fof(f14065,plain,
( ~ v3_group_1(sK39)
| k1_group_3(sK39) = u1_struct_0(k11_group_4(sK39))
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f14058,f9288]) ).
fof(f14068,plain,
( k1_group_3(sK40) = u1_struct_0(k11_group_4(sK40))
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14064,f9291]) ).
fof(f14069,plain,
( k1_group_3(sK39) = u1_struct_0(k11_group_4(sK39))
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f14065,f9287]) ).
fof(f14070,plain,
k1_group_3(sK40) = u1_struct_0(k11_group_4(sK40)),
inference(forward_subsumption_resolution,[],[f14068,f9289]) ).
fof(f14071,plain,
k1_group_3(sK39) = u1_struct_0(k11_group_4(sK39)),
inference(forward_subsumption_resolution,[],[f14069,f9285]) ).
fof(f14196,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| m2_relset_1(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(superposition,[],[f9230,f13658]) ).
fof(f14201,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| m2_relset_1(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(forward_subsumption_resolution,[],[f14196,f9292]) ).
fof(f14205,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| m2_relset_1(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(forward_subsumption_resolution,[],[f14201,f9291]) ).
fof(f14209,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| m2_relset_1(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(forward_subsumption_resolution,[],[f14205,f9290]) ).
fof(f14213,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| m2_relset_1(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(forward_subsumption_resolution,[],[f14209,f9289]) ).
fof(f14217,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| m2_relset_1(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),k1_group_3(sK40))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472) ),
inference(forward_demodulation,[],[f14213,f14070]) ).
fof(f14221,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| m2_relset_1(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(superposition,[],[f14217,f13656]) ).
fof(f14224,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| m2_relset_1(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14221,f9288]) ).
fof(f14226,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| m2_relset_1(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14224,f9287]) ).
fof(f14228,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| m2_relset_1(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14226,f9286]) ).
fof(f14230,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| m2_relset_1(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14228,f9285]) ).
fof(f14232,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| m2_relset_1(k3_latsubgr(sK39,sK40,X0),k1_group_3(sK39),k1_group_3(sK40))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_demodulation,[],[f14230,f14071]) ).
fof(f14234,plain,
( m2_relset_1(k3_latsubgr(sK39,sK40,sK41),k1_group_3(sK39),k1_group_3(sK40))
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(resolution,[],[f14232,f13907]) ).
fof(f14235,plain,
( m2_relset_1(k3_latsubgr(sK39,sK40,sK41),k1_group_3(sK39),k1_group_3(sK40))
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14234,f9296]) ).
fof(f14236,plain,
m2_relset_1(k3_latsubgr(sK39,sK40,sK41),k1_group_3(sK39),k1_group_3(sK40)),
inference(forward_subsumption_resolution,[],[f14235,f13659]) ).
fof(f14237,plain,
m2_relset_1(sF468,k1_group_3(sK39),k1_group_3(sK40)),
inference(forward_demodulation,[],[f14236,f13649]) ).
fof(f14381,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_2(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(superposition,[],[f9231,f13658]) ).
fof(f14386,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_2(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(forward_subsumption_resolution,[],[f14381,f9292]) ).
fof(f14390,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_2(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(forward_subsumption_resolution,[],[f14386,f9291]) ).
fof(f14394,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ l1_group_1(sK40)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_2(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(forward_subsumption_resolution,[],[f14390,f9290]) ).
fof(f14398,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| v1_funct_2(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),u1_struct_0(k11_group_4(sK40))) ),
inference(forward_subsumption_resolution,[],[f14394,f9289]) ).
fof(f14402,plain,
! [X0,X1] :
( ~ m1_relset_1(X0,u1_struct_0(X1),sF472)
| v1_funct_2(k3_latsubgr(X1,sK40,X0),u1_struct_0(k11_group_4(X1)),k1_group_3(sK40))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF472) ),
inference(forward_demodulation,[],[f14398,f14070]) ).
fof(f14406,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| v1_funct_2(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(superposition,[],[f14402,f13656]) ).
fof(f14409,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| v1_funct_2(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14406,f9288]) ).
fof(f14411,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| v1_funct_2(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14409,f9287]) ).
fof(f14413,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| v1_funct_2(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ l1_group_1(sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14411,f9286]) ).
fof(f14415,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| v1_funct_2(k3_latsubgr(sK39,sK40,X0),u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14413,f9285]) ).
fof(f14417,plain,
! [X0] :
( ~ m1_relset_1(X0,sF471,sF472)
| v1_funct_2(k3_latsubgr(sK39,sK40,X0),k1_group_3(sK39),k1_group_3(sK40))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_demodulation,[],[f14415,f14071]) ).
fof(f14419,plain,
( v1_funct_2(k3_latsubgr(sK39,sK40,sK41),k1_group_3(sK39),k1_group_3(sK40))
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(resolution,[],[f14417,f13907]) ).
fof(f14420,plain,
( v1_funct_2(k3_latsubgr(sK39,sK40,sK41),k1_group_3(sK39),k1_group_3(sK40))
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f14419,f9296]) ).
fof(f14421,plain,
v1_funct_2(k3_latsubgr(sK39,sK40,sK41),k1_group_3(sK39),k1_group_3(sK40)),
inference(forward_subsumption_resolution,[],[f14420,f13659]) ).
fof(f14422,plain,
v1_funct_2(sF468,k1_group_3(sK39),k1_group_3(sK40)),
inference(forward_demodulation,[],[f14421,f13649]) ).
fof(f14469,plain,
( v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| m1_group_2(k5_group_2(sK39),sK39)
| ~ l1_group_1(sK39) ),
inference(resolution,[],[f9661,f9286]) ).
fof(f14470,plain,
( v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| m1_group_2(k5_group_2(sK40),sK40)
| ~ l1_group_1(sK40) ),
inference(resolution,[],[f9661,f9290]) ).
fof(f14475,plain,
( ~ v3_group_1(sK40)
| m1_group_2(k5_group_2(sK40),sK40)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14470,f9292]) ).
fof(f14476,plain,
( ~ v3_group_1(sK39)
| m1_group_2(k5_group_2(sK39),sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f14469,f9288]) ).
fof(f14479,plain,
( m1_group_2(k5_group_2(sK40),sK40)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14475,f9291]) ).
fof(f14480,plain,
( m1_group_2(k5_group_2(sK39),sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f14476,f9287]) ).
fof(f14481,plain,
m1_group_2(k5_group_2(sK40),sK40),
inference(forward_subsumption_resolution,[],[f14479,f9289]) ).
fof(f14482,plain,
m1_group_2(k5_group_2(sK39),sK39),
inference(forward_subsumption_resolution,[],[f14480,f9285]) ).
fof(f14483,plain,
m1_group_2(sF467,sK40),
inference(forward_demodulation,[],[f14481,f13647]) ).
fof(f14484,plain,
m1_group_2(sF469,sK39),
inference(forward_demodulation,[],[f14482,f13651]) ).
fof(f14486,plain,
( u1_struct_0(sF467) = k7_group_2(sK40,sF467)
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40) ),
inference(resolution,[],[f14483,f10264]) ).
fof(f14489,plain,
( u1_struct_0(sF467) = k7_group_2(sK40,sF467)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14486,f9292]) ).
fof(f14492,plain,
( u1_struct_0(sF467) = k7_group_2(sK40,sF467)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14489,f9291]) ).
fof(f14495,plain,
( u1_struct_0(sF467) = k7_group_2(sK40,sF467)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14492,f9290]) ).
fof(f14498,plain,
u1_struct_0(sF467) = k7_group_2(sK40,sF467),
inference(forward_subsumption_resolution,[],[f14495,f9289]) ).
fof(f14664,plain,
( v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| m1_group_2(sK40,sK40)
| ~ l1_group_1(sK40) ),
inference(resolution,[],[f9373,f9290]) ).
fof(f14669,plain,
( ~ v3_group_1(sK40)
| m1_group_2(sK40,sK40)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14664,f9292]) ).
fof(f14673,plain,
( m1_group_2(sK40,sK40)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f14669,f9291]) ).
fof(f14675,plain,
m1_group_2(sK40,sK40),
inference(forward_subsumption_resolution,[],[f14673,f9289]) ).
fof(f14955,plain,
! [X0] :
( v1_xboole_0(sF471)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472)
| k1_funct_1(sK41,X0) = k8_funct_2(sF471,sF472,sK41,X0)
| ~ m1_subset_1(X0,sF471) ),
inference(resolution,[],[f11959,f13907]) ).
fof(f14958,plain,
! [X0] :
( ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472)
| k1_funct_1(sK41,X0) = k8_funct_2(sF471,sF472,sK41,X0)
| ~ m1_subset_1(X0,sF471) ),
inference(forward_subsumption_resolution,[],[f14955,f14035]) ).
fof(f14960,plain,
! [X0] :
( ~ v1_funct_2(sK41,sF471,sF472)
| k1_funct_1(sK41,X0) = k8_funct_2(sF471,sF472,sK41,X0)
| ~ m1_subset_1(X0,sF471) ),
inference(forward_subsumption_resolution,[],[f14958,f9296]) ).
fof(f14961,plain,
! [X0] :
( ~ m1_subset_1(X0,sF471)
| k1_funct_1(sK41,X0) = k8_funct_2(sF471,sF472,sK41,X0) ),
inference(forward_subsumption_resolution,[],[f14960,f13659]) ).
fof(f15071,plain,
( v3_struct_0(sK39)
| m1_subset_1(k2_group_1(sK39),u1_struct_0(sK39)) ),
inference(resolution,[],[f9655,f9285]) ).
fof(f15072,plain,
( v3_struct_0(sK40)
| m1_subset_1(k2_group_1(sK40),u1_struct_0(sK40)) ),
inference(resolution,[],[f9655,f9289]) ).
fof(f15073,plain,
m1_subset_1(k2_group_1(sK40),u1_struct_0(sK40)),
inference(forward_subsumption_resolution,[],[f15072,f9292]) ).
fof(f15074,plain,
m1_subset_1(k2_group_1(sK39),u1_struct_0(sK39)),
inference(forward_subsumption_resolution,[],[f15071,f9288]) ).
fof(f15075,plain,
m1_subset_1(k2_group_1(sK40),sF472),
inference(forward_demodulation,[],[f15073,f13658]) ).
fof(f15076,plain,
m1_subset_1(k2_group_1(sK39),sF471),
inference(forward_demodulation,[],[f15074,f13656]) ).
fof(f15078,plain,
k1_funct_1(sK41,k2_group_1(sK39)) = k8_funct_2(sF471,sF472,sK41,k2_group_1(sK39)),
inference(resolution,[],[f15076,f14961]) ).
fof(f15251,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v1_group_1(k5_group_4(sK40,X0)) ),
inference(superposition,[],[f9491,f13658]) ).
fof(f15256,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v1_group_1(k5_group_4(sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f15251,f9292]) ).
fof(f15258,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v1_group_1(k5_group_4(sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f15256,f9291]) ).
fof(f15260,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| ~ l1_group_1(sK40)
| v1_group_1(k5_group_4(sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f15258,f9290]) ).
fof(f15262,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| v1_group_1(k5_group_4(sK40,X0)) ),
inference(forward_subsumption_resolution,[],[f15260,f9289]) ).
fof(f15370,plain,
( ~ v1_funct_1(sK41)
| k10_relat_1(sK41,sF472) = k4_relset_1(sF471,sF472,sK41) ),
inference(resolution,[],[f11845,f13660]) ).
fof(f15373,plain,
k10_relat_1(sK41,sF472) = k4_relset_1(sF471,sF472,sK41),
inference(forward_subsumption_resolution,[],[f15370,f9296]) ).
fof(f15472,plain,
! [X0,X1] :
( k3_funct_2(u1_struct_0(X0),u1_struct_0(sK40),X1,u1_struct_0(sK40)) = u1_struct_0(sK35(X0,sK40,X1,sK40))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f9245,f14675]) ).
fof(f15481,plain,
! [X0,X1] :
( k3_funct_2(u1_struct_0(X0),u1_struct_0(sK40),X1,u1_struct_0(sK40)) = u1_struct_0(sK35(X0,sK40,X1,sK40))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f15472,f9292]) ).
fof(f15487,plain,
! [X0,X1] :
( k3_funct_2(u1_struct_0(X0),u1_struct_0(sK40),X1,u1_struct_0(sK40)) = u1_struct_0(sK35(X0,sK40,X1,sK40))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f15481,f9291]) ).
fof(f15493,plain,
! [X0,X1] :
( k3_funct_2(u1_struct_0(X0),u1_struct_0(sK40),X1,u1_struct_0(sK40)) = u1_struct_0(sK35(X0,sK40,X1,sK40))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f15487,f9290]) ).
fof(f15497,plain,
! [X0,X1] :
( k3_funct_2(u1_struct_0(X0),u1_struct_0(sK40),X1,u1_struct_0(sK40)) = u1_struct_0(sK35(X0,sK40,X1,sK40))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f15493,f9289]) ).
fof(f15501,plain,
! [X0,X1] :
( u1_struct_0(sK35(X0,sK40,X1,sK40)) = k3_funct_2(u1_struct_0(X0),sF472,X1,sF472)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_demodulation,[],[f15497,f13658]) ).
fof(f15505,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| u1_struct_0(sK35(X0,sK40,X1,sK40)) = k3_funct_2(u1_struct_0(X0),sF472,X1,sF472)
| ~ v1_funct_1(X1)
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_demodulation,[],[f15501,f13658]) ).
fof(f15509,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF472)
| u1_struct_0(sK35(X0,sK40,X1,sK40)) = k3_funct_2(u1_struct_0(X0),sF472,X1,sF472)
| ~ v1_funct_1(X1)
| ~ v1_group_6(X1,X0,sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_demodulation,[],[f15505,f13658]) ).
fof(f15881,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(u1_struct_0(X1),sF472,X0,k2_group_1(X1))
| ~ v1_group_6(X0,X1,sK40)
| ~ m2_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(superposition,[],[f11949,f13658]) ).
fof(f15886,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(u1_struct_0(X1),sF472,X0,k2_group_1(X1))
| ~ v1_group_6(X0,X1,sK40)
| ~ m2_relset_1(X0,u1_struct_0(X1),sF472)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f15881,f9292]) ).
fof(f15890,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(u1_struct_0(X1),sF472,X0,k2_group_1(X1))
| ~ v1_group_6(X0,X1,sK40)
| ~ m2_relset_1(X0,u1_struct_0(X1),sF472)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f15886,f9291]) ).
fof(f15894,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(u1_struct_0(X1),sF472,X0,k2_group_1(X1))
| ~ v1_group_6(X0,X1,sK40)
| ~ m2_relset_1(X0,u1_struct_0(X1),sF472)
| ~ l1_group_1(sK40)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f15890,f9290]) ).
fof(f15898,plain,
! [X0,X1] :
( ~ v1_funct_2(X0,u1_struct_0(X1),sF472)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(u1_struct_0(X1),sF472,X0,k2_group_1(X1))
| ~ v1_group_6(X0,X1,sK40)
| ~ m2_relset_1(X0,u1_struct_0(X1),sF472)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f15894,f9289]) ).
fof(f15902,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(sF471,sF472,X0,k2_group_1(sK39))
| ~ v1_group_6(X0,sK39,sK40)
| ~ m2_relset_1(X0,sF471,sF472)
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(superposition,[],[f15898,f13656]) ).
fof(f15905,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(sF471,sF472,X0,k2_group_1(sK39))
| ~ v1_group_6(X0,sK39,sK40)
| ~ m2_relset_1(X0,sF471,sF472)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f15902,f9288]) ).
fof(f15907,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(sF471,sF472,X0,k2_group_1(sK39))
| ~ v1_group_6(X0,sK39,sK40)
| ~ m2_relset_1(X0,sF471,sF472)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f15905,f9287]) ).
fof(f15909,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(sF471,sF472,X0,k2_group_1(sK39))
| ~ v1_group_6(X0,sK39,sK40)
| ~ m2_relset_1(X0,sF471,sF472)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f15907,f9286]) ).
fof(f15911,plain,
! [X0] :
( ~ v1_group_6(X0,sK39,sK40)
| ~ v1_funct_1(X0)
| k2_group_1(sK40) = k8_funct_2(sF471,sF472,X0,k2_group_1(sK39))
| ~ v1_funct_2(X0,sF471,sF472)
| ~ m2_relset_1(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f15909,f9285]) ).
fof(f15913,plain,
( ~ v1_funct_1(sK41)
| k2_group_1(sK40) = k8_funct_2(sF471,sF472,sK41,k2_group_1(sK39))
| ~ v1_funct_2(sK41,sF471,sF472)
| ~ m2_relset_1(sK41,sF471,sF472) ),
inference(resolution,[],[f15911,f9294]) ).
fof(f15914,plain,
( k2_group_1(sK40) = k8_funct_2(sF471,sF472,sK41,k2_group_1(sK39))
| ~ v1_funct_2(sK41,sF471,sF472)
| ~ m2_relset_1(sK41,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f15913,f9296]) ).
fof(f15915,plain,
( k2_group_1(sK40) = k8_funct_2(sF471,sF472,sK41,k2_group_1(sK39))
| ~ m2_relset_1(sK41,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f15914,f13659]) ).
fof(f15916,plain,
k2_group_1(sK40) = k8_funct_2(sF471,sF472,sK41,k2_group_1(sK39)),
inference(forward_subsumption_resolution,[],[f15915,f13660]) ).
fof(f16360,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)),k1_zfmisc_1(sF472))
| k1_funct_1(k3_latsubgr(X0,sK40,X1),X2) = k5_group_4(sK40,k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_1(k3_latsubgr(X0,sK40,X1))
| ~ v1_funct_2(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ m2_relset_1(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF472)
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(superposition,[],[f13328,f13658]) ).
fof(f16365,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)),k1_zfmisc_1(sF472))
| k1_funct_1(k3_latsubgr(X0,sK40,X1),X2) = k5_group_4(sK40,k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_1(k3_latsubgr(X0,sK40,X1))
| ~ v1_funct_2(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ m2_relset_1(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF472)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f16360,f9292]) ).
fof(f16369,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)),k1_zfmisc_1(sF472))
| k1_funct_1(k3_latsubgr(X0,sK40,X1),X2) = k5_group_4(sK40,k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_1(k3_latsubgr(X0,sK40,X1))
| ~ v1_funct_2(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ m2_relset_1(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF472)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f16365,f9291]) ).
fof(f16373,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)),k1_zfmisc_1(sF472))
| k1_funct_1(k3_latsubgr(X0,sK40,X1),X2) = k5_group_4(sK40,k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_1(k3_latsubgr(X0,sK40,X1))
| ~ v1_funct_2(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ m2_relset_1(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF472)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f16369,f9290]) ).
fof(f16377,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)),k1_zfmisc_1(sF472))
| k1_funct_1(k3_latsubgr(X0,sK40,X1),X2) = k5_group_4(sK40,k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_1(k3_latsubgr(X0,sK40,X1))
| ~ v1_funct_2(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ m2_relset_1(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF472)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f16373,f9289]) ).
fof(f16381,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)),k1_zfmisc_1(sF472))
| k1_funct_1(k3_latsubgr(X0,sK40,X1),X2) = k5_group_4(sK40,k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_1(k3_latsubgr(X0,sK40,X1))
| ~ m2_relset_1(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),u1_struct_0(k11_group_4(sK40)))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF472)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_demodulation,[],[f16377,f14070]) ).
fof(f16385,plain,
! [X2,X0,X1] :
( ~ v1_funct_2(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK40))
| ~ m2_relset_1(k3_latsubgr(X0,sK40,X1),u1_struct_0(k11_group_4(X0)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)),k1_zfmisc_1(sF472))
| k1_funct_1(k3_latsubgr(X0,sK40,X1),X2) = k5_group_4(sK40,k2_funct_2(u1_struct_0(X0),sF472,X1,u1_struct_0(X2)))
| ~ v1_group_1(X2)
| ~ m1_group_2(X2,X0)
| ~ v1_funct_1(k3_latsubgr(X0,sK40,X1))
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF472)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_demodulation,[],[f16381,f14070]) ).
fof(f16421,plain,
! [X0] :
( ~ v1_funct_2(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m2_relset_1(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_1(sF468)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472)
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(superposition,[],[f16385,f13649]) ).
fof(f16428,plain,
! [X0] :
( ~ v1_funct_2(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m2_relset_1(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472)
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f16421,f14011]) ).
fof(f16432,plain,
! [X0] :
( ~ v1_funct_2(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m2_relset_1(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472)
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f16428,f9296]) ).
fof(f16436,plain,
! [X0] :
( ~ v1_funct_2(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m2_relset_1(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f16432,f9288]) ).
fof(f16440,plain,
! [X0] :
( ~ v1_funct_2(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m2_relset_1(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f16436,f9287]) ).
fof(f16444,plain,
! [X0] :
( ~ v1_funct_2(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m2_relset_1(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f16440,f9286]) ).
fof(f16448,plain,
! [X0] :
( ~ v1_funct_2(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m2_relset_1(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_subsumption_resolution,[],[f16444,f9285]) ).
fof(f16452,plain,
! [X0] :
( ~ v1_funct_2(sF468,k1_group_3(sK39),k1_group_3(sK40))
| ~ m2_relset_1(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_demodulation,[],[f16448,f14071]) ).
fof(f16456,plain,
! [X0] :
( ~ m2_relset_1(sF468,u1_struct_0(k11_group_4(sK39)),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_subsumption_resolution,[],[f16452,f14422]) ).
fof(f16458,plain,
! [X0] :
( ~ m2_relset_1(sF468,k1_group_3(sK39),k1_group_3(sK40))
| ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_demodulation,[],[f16456,f14071]) ).
fof(f16460,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_subsumption_resolution,[],[f16458,f14237]) ).
fof(f16462,plain,
! [X0] :
( ~ m1_subset_1(k2_funct_2(sF471,sF472,sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_demodulation,[],[f16460,f13656]) ).
fof(f16464,plain,
! [X0] :
( ~ m1_subset_1(k9_relat_1(sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(u1_struct_0(sK39),sF472,sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_demodulation,[],[f16462,f14030]) ).
fof(f16466,plain,
! [X0] :
( k1_funct_1(sF468,X0) = k5_group_4(sK40,k2_funct_2(sF471,sF472,sK41,u1_struct_0(X0)))
| ~ m1_subset_1(k9_relat_1(sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_demodulation,[],[f16464,f13656]) ).
fof(f16468,plain,
! [X0] :
( k1_funct_1(sF468,X0) = k5_group_4(sK40,k9_relat_1(sK41,u1_struct_0(X0)))
| ~ m1_subset_1(k9_relat_1(sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ v1_funct_2(sK41,u1_struct_0(sK39),sF472)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_demodulation,[],[f16466,f14030]) ).
fof(f16469,plain,
! [X0] :
( ~ v1_funct_2(sK41,sF471,sF472)
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k9_relat_1(sK41,u1_struct_0(X0)))
| ~ m1_subset_1(k9_relat_1(sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_demodulation,[],[f16468,f13656]) ).
fof(f16470,plain,
! [X0] :
( k1_funct_1(sF468,X0) = k5_group_4(sK40,k9_relat_1(sK41,u1_struct_0(X0)))
| ~ m1_subset_1(k9_relat_1(sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39)
| ~ m2_relset_1(sK41,u1_struct_0(sK39),sF472) ),
inference(forward_subsumption_resolution,[],[f16469,f13659]) ).
fof(f16471,plain,
! [X0] :
( ~ m2_relset_1(sK41,sF471,sF472)
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k9_relat_1(sK41,u1_struct_0(X0)))
| ~ m1_subset_1(k9_relat_1(sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39) ),
inference(forward_demodulation,[],[f16470,f13656]) ).
fof(f16472,plain,
! [X0] :
( ~ m1_subset_1(k9_relat_1(sK41,u1_struct_0(X0)),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,X0) = k5_group_4(sK40,k9_relat_1(sK41,u1_struct_0(X0)))
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK39) ),
inference(forward_subsumption_resolution,[],[f16471,f13660]) ).
fof(f17239,plain,
! [X0] :
( ~ v1_funct_1(sK41)
| k10_relat_1(sK41,X0) = k3_funct_2(sF471,sF472,sK41,X0) ),
inference(resolution,[],[f9597,f13907]) ).
fof(f17244,plain,
! [X0] : k10_relat_1(sK41,X0) = k3_funct_2(sF471,sF472,sK41,X0),
inference(forward_subsumption_resolution,[],[f17239,f9296]) ).
fof(f17404,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ m2_relset_1(X0,sF471,sF472)
| u1_struct_0(sK35(sK39,sK40,X0,sK40)) = k3_funct_2(sF471,sF472,X0,sF472)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK39,sK40)
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(superposition,[],[f15509,f13656]) ).
fof(f17407,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ m2_relset_1(X0,sF471,sF472)
| u1_struct_0(sK35(sK39,sK40,X0,sK40)) = k3_funct_2(sF471,sF472,X0,sF472)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK39,sK40)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f17404,f9288]) ).
fof(f17409,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ m2_relset_1(X0,sF471,sF472)
| u1_struct_0(sK35(sK39,sK40,X0,sK40)) = k3_funct_2(sF471,sF472,X0,sF472)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK39,sK40)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f17407,f9287]) ).
fof(f17411,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ m2_relset_1(X0,sF471,sF472)
| u1_struct_0(sK35(sK39,sK40,X0,sK40)) = k3_funct_2(sF471,sF472,X0,sF472)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK39,sK40)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f17409,f9286]) ).
fof(f17413,plain,
! [X0] :
( ~ v1_group_6(X0,sK39,sK40)
| ~ m2_relset_1(X0,sF471,sF472)
| u1_struct_0(sK35(sK39,sK40,X0,sK40)) = k3_funct_2(sF471,sF472,X0,sF472)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f17411,f9285]) ).
fof(f17414,plain,
( ~ m2_relset_1(sK41,sF471,sF472)
| u1_struct_0(sK35(sK39,sK40,sK41,sK40)) = k3_funct_2(sF471,sF472,sK41,sF472)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(resolution,[],[f17413,f9294]) ).
fof(f17415,plain,
( u1_struct_0(sK35(sK39,sK40,sK41,sK40)) = k3_funct_2(sF471,sF472,sK41,sF472)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f17414,f13660]) ).
fof(f17416,plain,
( u1_struct_0(sK35(sK39,sK40,sK41,sK40)) = k3_funct_2(sF471,sF472,sK41,sF472)
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f17415,f9296]) ).
fof(f17417,plain,
u1_struct_0(sK35(sK39,sK40,sK41,sK40)) = k3_funct_2(sF471,sF472,sK41,sF472),
inference(forward_subsumption_resolution,[],[f17416,f13659]) ).
fof(f17418,plain,
k10_relat_1(sK41,sF472) = u1_struct_0(sK35(sK39,sK40,sK41,sK40)),
inference(forward_demodulation,[],[f17417,f17244]) ).
fof(f19338,plain,
k2_group_1(sK40) = k1_funct_1(sK41,k2_group_1(sK39)),
inference(superposition,[],[f15916,f15078]) ).
fof(f19532,plain,
! [X0,X1] :
( m1_group_2(sK35(X0,sK40,X1,sK40),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(resolution,[],[f9246,f14675]) ).
fof(f19549,plain,
! [X0,X1] :
( m1_group_2(sK35(X0,sK40,X1,sK40),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f19532,f9292]) ).
fof(f19559,plain,
! [X0,X1] :
( m1_group_2(sK35(X0,sK40,X1,sK40),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f19549,f9291]) ).
fof(f19569,plain,
! [X0,X1] :
( m1_group_2(sK35(X0,sK40,X1,sK40),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ l1_group_1(sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f19559,f9290]) ).
fof(f19579,plain,
! [X0,X1] :
( m1_group_2(sK35(X0,sK40,X1,sK40),X0)
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,u1_struct_0(X0),u1_struct_0(sK40))
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_subsumption_resolution,[],[f19569,f9289]) ).
fof(f19585,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| m1_group_2(sK35(X0,sK40,X1,sK40),X0)
| ~ v1_funct_1(X1)
| ~ v1_group_6(X1,X0,sK40)
| ~ m2_relset_1(X1,u1_struct_0(X0),u1_struct_0(sK40))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_demodulation,[],[f19579,f13658]) ).
fof(f19591,plain,
! [X0,X1] :
( ~ v1_funct_2(X1,u1_struct_0(X0),sF472)
| ~ m2_relset_1(X1,u1_struct_0(X0),sF472)
| m1_group_2(sK35(X0,sK40,X1,sK40),X0)
| ~ v1_funct_1(X1)
| ~ v1_group_6(X1,X0,sK40)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(forward_demodulation,[],[f19585,f13658]) ).
fof(f21374,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ m2_relset_1(X0,sF471,sF472)
| m1_group_2(sK35(sK39,sK40,X0,sK40),sK39)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK39,sK40)
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(superposition,[],[f19591,f13656]) ).
fof(f21377,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ m2_relset_1(X0,sF471,sF472)
| m1_group_2(sK35(sK39,sK40,X0,sK40),sK39)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK39,sK40)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f21374,f9288]) ).
fof(f21380,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ m2_relset_1(X0,sF471,sF472)
| m1_group_2(sK35(sK39,sK40,X0,sK40),sK39)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK39,sK40)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f21377,f9287]) ).
fof(f21383,plain,
! [X0] :
( ~ v1_funct_2(X0,sF471,sF472)
| ~ m2_relset_1(X0,sF471,sF472)
| m1_group_2(sK35(sK39,sK40,X0,sK40),sK39)
| ~ v1_funct_1(X0)
| ~ v1_group_6(X0,sK39,sK40)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f21380,f9286]) ).
fof(f21386,plain,
! [X0] :
( ~ v1_group_6(X0,sK39,sK40)
| ~ m2_relset_1(X0,sF471,sF472)
| m1_group_2(sK35(sK39,sK40,X0,sK40),sK39)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f21383,f9285]) ).
fof(f21388,plain,
( ~ m2_relset_1(sK41,sF471,sF472)
| m1_group_2(sK35(sK39,sK40,sK41,sK40),sK39)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(resolution,[],[f21386,f9294]) ).
fof(f21389,plain,
( m1_group_2(sK35(sK39,sK40,sK41,sK40),sK39)
| ~ v1_funct_1(sK41)
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f21388,f13660]) ).
fof(f21390,plain,
( m1_group_2(sK35(sK39,sK40,sK41,sK40),sK39)
| ~ v1_funct_2(sK41,sF471,sF472) ),
inference(forward_subsumption_resolution,[],[f21389,f9296]) ).
fof(f21391,plain,
m1_group_2(sK35(sK39,sK40,sK41,sK40),sK39),
inference(forward_subsumption_resolution,[],[f21390,f13659]) ).
fof(f21401,plain,
( l1_group_1(sK35(sK39,sK40,sK41,sK40))
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(resolution,[],[f21391,f9368]) ).
fof(f21405,plain,
( r1_rlvect_1(sK35(sK39,sK40,sK41,sK40),k2_group_1(sK39))
| v3_struct_0(sK39)
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(resolution,[],[f21391,f9652]) ).
fof(f21428,plain,
( r1_rlvect_1(sK35(sK39,sK40,sK41,sK40),k2_group_1(sK39))
| ~ v3_group_1(sK39)
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f21405,f9288]) ).
fof(f21432,plain,
( l1_group_1(sK35(sK39,sK40,sK41,sK40))
| ~ v3_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f21401,f9288]) ).
fof(f21452,plain,
( r1_rlvect_1(sK35(sK39,sK40,sK41,sK40),k2_group_1(sK39))
| ~ v4_group_1(sK39)
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f21428,f9287]) ).
fof(f21456,plain,
( l1_group_1(sK35(sK39,sK40,sK41,sK40))
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f21432,f9287]) ).
fof(f21475,plain,
( r1_rlvect_1(sK35(sK39,sK40,sK41,sK40),k2_group_1(sK39))
| ~ l1_group_1(sK39) ),
inference(forward_subsumption_resolution,[],[f21452,f9286]) ).
fof(f21479,plain,
l1_group_1(sK35(sK39,sK40,sK41,sK40)),
inference(forward_subsumption_resolution,[],[f21456,f9285]) ).
fof(f21498,plain,
r1_rlvect_1(sK35(sK39,sK40,sK41,sK40),k2_group_1(sK39)),
inference(forward_subsumption_resolution,[],[f21475,f9285]) ).
fof(f21681,plain,
l1_struct_0(sK35(sK39,sK40,sK41,sK40)),
inference(resolution,[],[f21479,f10927]) ).
fof(f22025,plain,
( r2_hidden(k2_group_1(sK39),u1_struct_0(sK35(sK39,sK40,sK41,sK40)))
| ~ l1_struct_0(sK35(sK39,sK40,sK41,sK40)) ),
inference(resolution,[],[f21498,f10929]) ).
fof(f22027,plain,
r2_hidden(k2_group_1(sK39),u1_struct_0(sK35(sK39,sK40,sK41,sK40))),
inference(forward_subsumption_resolution,[],[f22025,f21681]) ).
fof(f22028,plain,
r2_hidden(k2_group_1(sK39),k10_relat_1(sK41,sF472)),
inference(forward_demodulation,[],[f22027,f17418]) ).
fof(f27956,plain,
( v1_xboole_0(sF471)
| k6_domain_1(sF471,k2_group_1(sK39)) = k2_tarski(k2_group_1(sK39),k2_group_1(sK39)) ),
inference(resolution,[],[f12745,f15076]) ).
fof(f27957,plain,
( v1_xboole_0(sF472)
| k6_domain_1(sF472,k2_group_1(sK40)) = k2_tarski(k2_group_1(sK40),k2_group_1(sK40)) ),
inference(resolution,[],[f12745,f15075]) ).
fof(f27958,plain,
k6_domain_1(sF472,k2_group_1(sK40)) = k2_tarski(k2_group_1(sK40),k2_group_1(sK40)),
inference(forward_subsumption_resolution,[],[f27957,f14036]) ).
fof(f27959,plain,
k6_domain_1(sF471,k2_group_1(sK39)) = k2_tarski(k2_group_1(sK39),k2_group_1(sK39)),
inference(forward_subsumption_resolution,[],[f27956,f14035]) ).
fof(f27978,plain,
u1_struct_0(sF467) = k2_tarski(k2_group_1(sK40),k2_group_1(sK40)),
inference(forward_demodulation,[],[f27958,f14053]) ).
fof(f27979,plain,
u1_struct_0(sF469) = k2_tarski(k2_group_1(sK39),k2_group_1(sK39)),
inference(forward_demodulation,[],[f27959,f14054]) ).
fof(f36022,plain,
( ~ v1_group_1(sF467)
| r1_group_2(sK40,k5_group_4(sK40,k7_group_2(sK40,sF467)),sF467)
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40) ),
inference(resolution,[],[f9494,f14483]) ).
fof(f36055,plain,
( r1_group_2(sK40,k5_group_4(sK40,k7_group_2(sK40,sF467)),sF467)
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f36022,f13976]) ).
fof(f36120,plain,
( r1_group_2(sK40,k5_group_4(sK40,k7_group_2(sK40,sF467)),sF467)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f36055,f9292]) ).
fof(f36185,plain,
( r1_group_2(sK40,k5_group_4(sK40,k7_group_2(sK40,sF467)),sF467)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f36120,f9291]) ).
fof(f36248,plain,
( r1_group_2(sK40,k5_group_4(sK40,k7_group_2(sK40,sF467)),sF467)
| ~ l1_group_1(sK40) ),
inference(forward_subsumption_resolution,[],[f36185,f9290]) ).
fof(f36308,plain,
r1_group_2(sK40,k5_group_4(sK40,k7_group_2(sK40,sF467)),sF467),
inference(forward_subsumption_resolution,[],[f36248,f9289]) ).
fof(f36368,plain,
r1_group_2(sK40,k5_group_4(sK40,u1_struct_0(sF467)),sF467),
inference(forward_demodulation,[],[f36308,f14498]) ).
fof(f36430,plain,
( sF467 = k5_group_4(sK40,u1_struct_0(sF467))
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_group_1(k5_group_4(sK40,u1_struct_0(sF467)))
| ~ m1_group_2(k5_group_4(sK40,u1_struct_0(sF467)),sK40)
| ~ v1_group_1(sF467)
| ~ m1_group_2(sF467,sK40) ),
inference(resolution,[],[f36368,f9481]) ).
fof(f36431,plain,
( sF467 = k5_group_4(sK40,u1_struct_0(sF467))
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_group_1(k5_group_4(sK40,u1_struct_0(sF467)))
| ~ m1_group_2(k5_group_4(sK40,u1_struct_0(sF467)),sK40)
| ~ v1_group_1(sF467)
| ~ m1_group_2(sF467,sK40) ),
inference(forward_subsumption_resolution,[],[f36430,f9292]) ).
fof(f36433,plain,
( sF467 = k5_group_4(sK40,u1_struct_0(sF467))
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| ~ v1_group_1(k5_group_4(sK40,u1_struct_0(sF467)))
| ~ m1_group_2(k5_group_4(sK40,u1_struct_0(sF467)),sK40)
| ~ v1_group_1(sF467)
| ~ m1_group_2(sF467,sK40) ),
inference(forward_subsumption_resolution,[],[f36431,f9291]) ).
fof(f36435,plain,
( sF467 = k5_group_4(sK40,u1_struct_0(sF467))
| ~ l1_group_1(sK40)
| ~ v1_group_1(k5_group_4(sK40,u1_struct_0(sF467)))
| ~ m1_group_2(k5_group_4(sK40,u1_struct_0(sF467)),sK40)
| ~ v1_group_1(sF467)
| ~ m1_group_2(sF467,sK40) ),
inference(forward_subsumption_resolution,[],[f36433,f9290]) ).
fof(f36437,plain,
( sF467 = k5_group_4(sK40,u1_struct_0(sF467))
| ~ v1_group_1(k5_group_4(sK40,u1_struct_0(sF467)))
| ~ m1_group_2(k5_group_4(sK40,u1_struct_0(sF467)),sK40)
| ~ v1_group_1(sF467)
| ~ m1_group_2(sF467,sK40) ),
inference(forward_subsumption_resolution,[],[f36435,f9289]) ).
fof(f36439,plain,
( sF467 = k5_group_4(sK40,u1_struct_0(sF467))
| ~ v1_group_1(k5_group_4(sK40,u1_struct_0(sF467)))
| ~ m1_group_2(k5_group_4(sK40,u1_struct_0(sF467)),sK40)
| ~ m1_group_2(sF467,sK40) ),
inference(forward_subsumption_resolution,[],[f36437,f13976]) ).
fof(f36441,plain,
( ~ m1_group_2(k5_group_4(sK40,u1_struct_0(sF467)),sK40)
| ~ v1_group_1(k5_group_4(sK40,u1_struct_0(sF467)))
| sF467 = k5_group_4(sK40,u1_struct_0(sF467)) ),
inference(forward_subsumption_resolution,[],[f36439,f14483]) ).
fof(f37069,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| m1_group_2(k5_group_4(sK40,X0),sK40) ),
inference(superposition,[],[f9490,f13658]) ).
fof(f37070,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| m1_group_2(k5_group_4(sK40,X0),sK40) ),
inference(forward_subsumption_resolution,[],[f37069,f9292]) ).
fof(f37078,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| m1_group_2(k5_group_4(sK40,X0),sK40) ),
inference(forward_subsumption_resolution,[],[f37070,f9291]) ).
fof(f37085,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| ~ l1_group_1(sK40)
| m1_group_2(k5_group_4(sK40,X0),sK40) ),
inference(forward_subsumption_resolution,[],[f37078,f9290]) ).
fof(f37092,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF472))
| m1_group_2(k5_group_4(sK40,X0),sK40) ),
inference(forward_subsumption_resolution,[],[f37085,f9289]) ).
fof(f38859,plain,
( v3_struct_0(sK40)
| ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| m1_subset_1(k7_group_2(sK40,sF467),k1_zfmisc_1(u1_struct_0(sK40))) ),
inference(resolution,[],[f10250,f14483]) ).
fof(f38894,plain,
( ~ v3_group_1(sK40)
| ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| m1_subset_1(k7_group_2(sK40,sF467),k1_zfmisc_1(u1_struct_0(sK40))) ),
inference(forward_subsumption_resolution,[],[f38859,f9292]) ).
fof(f38963,plain,
( ~ v4_group_1(sK40)
| ~ l1_group_1(sK40)
| m1_subset_1(k7_group_2(sK40,sF467),k1_zfmisc_1(u1_struct_0(sK40))) ),
inference(forward_subsumption_resolution,[],[f38894,f9291]) ).
fof(f39031,plain,
( ~ l1_group_1(sK40)
| m1_subset_1(k7_group_2(sK40,sF467),k1_zfmisc_1(u1_struct_0(sK40))) ),
inference(forward_subsumption_resolution,[],[f38963,f9290]) ).
fof(f39096,plain,
m1_subset_1(k7_group_2(sK40,sF467),k1_zfmisc_1(u1_struct_0(sK40))),
inference(forward_subsumption_resolution,[],[f39031,f9289]) ).
fof(f39161,plain,
m1_subset_1(k7_group_2(sK40,sF467),k1_zfmisc_1(sF472)),
inference(forward_demodulation,[],[f39096,f13658]) ).
fof(f39216,plain,
m1_subset_1(u1_struct_0(sF467),k1_zfmisc_1(sF472)),
inference(forward_demodulation,[],[f39161,f14498]) ).
fof(f39272,plain,
m1_group_2(k5_group_4(sK40,u1_struct_0(sF467)),sK40),
inference(resolution,[],[f39216,f37092]) ).
fof(f39273,plain,
v1_group_1(k5_group_4(sK40,u1_struct_0(sF467))),
inference(resolution,[],[f39216,f15262]) ).
fof(f39594,plain,
( ~ v1_group_1(k5_group_4(sK40,u1_struct_0(sF467)))
| sF467 = k5_group_4(sK40,u1_struct_0(sF467)) ),
inference(resolution,[],[f39272,f36441]) ).
fof(f39660,plain,
sF467 = k5_group_4(sK40,u1_struct_0(sF467)),
inference(forward_subsumption_resolution,[],[f39594,f39273]) ).
fof(f50145,plain,
k4_relset_1(sF471,sF472,sK41) = k1_relat_1(sK41),
inference(resolution,[],[f11866,f13907]) ).
fof(f50154,plain,
k10_relat_1(sK41,sF472) = k1_relat_1(sK41),
inference(superposition,[],[f15373,f50145]) ).
fof(f50164,plain,
r2_hidden(k2_group_1(sK39),k1_relat_1(sK41)),
inference(superposition,[],[f22028,f50154]) ).
fof(f50388,plain,
( k2_tarski(k1_funct_1(sK41,k2_group_1(sK39)),k1_funct_1(sK41,k2_group_1(sK39))) = k9_relat_1(sK41,k2_tarski(k2_group_1(sK39),k2_group_1(sK39)))
| ~ v1_relat_1(sK41)
| ~ v1_funct_1(sK41) ),
inference(resolution,[],[f50164,f12674]) ).
fof(f50400,plain,
( k2_tarski(k1_funct_1(sK41,k2_group_1(sK39)),k1_funct_1(sK41,k2_group_1(sK39))) = k9_relat_1(sK41,k2_tarski(k2_group_1(sK39),k2_group_1(sK39)))
| ~ v1_funct_1(sK41) ),
inference(forward_subsumption_resolution,[],[f50388,f14057]) ).
fof(f50406,plain,
k2_tarski(k1_funct_1(sK41,k2_group_1(sK39)),k1_funct_1(sK41,k2_group_1(sK39))) = k9_relat_1(sK41,k2_tarski(k2_group_1(sK39),k2_group_1(sK39))),
inference(forward_subsumption_resolution,[],[f50400,f9296]) ).
fof(f50409,plain,
k2_tarski(k1_funct_1(sK41,k2_group_1(sK39)),k1_funct_1(sK41,k2_group_1(sK39))) = k9_relat_1(sK41,u1_struct_0(sF469)),
inference(forward_demodulation,[],[f50406,f27979]) ).
fof(f50412,plain,
k2_tarski(k2_group_1(sK40),k2_group_1(sK40)) = k9_relat_1(sK41,u1_struct_0(sF469)),
inference(forward_demodulation,[],[f50409,f19338]) ).
fof(f50413,plain,
u1_struct_0(sF467) = k9_relat_1(sK41,u1_struct_0(sF469)),
inference(forward_demodulation,[],[f50412,f27978]) ).
fof(f50425,plain,
( ~ m1_subset_1(u1_struct_0(sF467),k1_zfmisc_1(sF472))
| k1_funct_1(sF468,sF469) = k5_group_4(sK40,u1_struct_0(sF467))
| ~ v1_group_1(sF469)
| ~ m1_group_2(sF469,sK39) ),
inference(superposition,[],[f16472,f50413]) ).
fof(f50442,plain,
( k1_funct_1(sF468,sF469) = k5_group_4(sK40,u1_struct_0(sF467))
| ~ v1_group_1(sF469)
| ~ m1_group_2(sF469,sK39) ),
inference(forward_subsumption_resolution,[],[f50425,f39216]) ).
fof(f50447,plain,
( k1_funct_1(sF468,sF469) = k5_group_4(sK40,u1_struct_0(sF467))
| ~ m1_group_2(sF469,sK39) ),
inference(forward_subsumption_resolution,[],[f50442,f13977]) ).
fof(f50449,plain,
k1_funct_1(sF468,sF469) = k5_group_4(sK40,u1_struct_0(sF467)),
inference(forward_subsumption_resolution,[],[f50447,f14484]) ).
fof(f50450,plain,
sF467 = k1_funct_1(sF468,sF469),
inference(forward_demodulation,[],[f50449,f39660]) ).
fof(f50452,plain,
sF467 = sF470,
inference(superposition,[],[f13653,f50450]) ).
fof(f50457,plain,
$false,
inference(forward_subsumption_resolution,[],[f50452,f13654]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP652+2 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n001.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:36:01 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.63/2.23 % (3363242)Detected formulas, will run a generic FOF schedule.
% 10.63/2.23 % (3363252)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1924729512:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 10.63/2.23 % (3363251)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2694755798:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 10.63/2.23 % (3363250)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1530819173:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 10.63/2.23 % (3363247)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=2283266162:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 10.63/2.23 % (3363248)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=2948832674:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 10.63/2.23 % (3363253)dis-21_1_sil=8000:lcm=predicate:random_seed=1062774984:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 10.63/2.23 % (3363249)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=2674442115:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 10.63/2.23 % (3363250)Instruction limit reached!
% 10.63/2.23 % (3363250)------------------------------
% 10.63/2.23 % (3363250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.23 % (3363250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.23 % (3363250)CaDiCaL version: 2.1.3
% 10.63/2.23 % (3363250)Termination reason: Instruction limit
% 10.63/2.23 % (3363250)Termination phase: Saturation
% 10.63/2.23 % (3363250)Time elapsed: 0.061 s
% 10.63/2.23 % (3363250)Peak memory usage: 96 MB
% 10.63/2.23 % (3363250)Instructions burned: 109 (million)
% 10.63/2.23 % (3363251)Instruction limit reached!
% 10.63/2.23 % (3363251)------------------------------
% 10.63/2.23 % (3363251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.23 % (3363251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.23 % (3363251)CaDiCaL version: 2.1.3
% 10.63/2.23 % (3363251)Termination reason: Instruction limit
% 10.63/2.23 % (3363251)Termination phase: Property scanning
% 10.63/2.23 % (3363251)Time elapsed: 0.071 s
% 10.63/2.23 % (3363251)Peak memory usage: 95 MB
% 10.63/2.23 % (3363251)Instructions burned: 120 (million)
% 10.63/2.23 % (3363252)Instruction limit reached!
% 10.63/2.23 % (3363252)------------------------------
% 10.63/2.23 % (3363252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.23 % (3363252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.23 % (3363252)CaDiCaL version: 2.1.3
% 10.63/2.23 % (3363252)Termination reason: Instruction limit
% 10.63/2.23 % (3363252)Termination phase: Unused predicate definition removal
% 10.63/2.23 % (3363252)Time elapsed: 0.081 s
% 10.63/2.23 % (3363252)Peak memory usage: 93 MB
% 10.63/2.23 % (3363252)Instructions burned: 139 (million)
% 10.63/2.23 % (3363253)Instruction limit reached!
% 10.63/2.23 % (3363253)------------------------------
% 10.63/2.23 % (3363253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.23 % (3363253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.23 % (3363253)CaDiCaL version: 2.1.3
% 10.63/2.23 % (3363253)Termination reason: Instruction limit
% 10.63/2.23 % (3363253)Termination phase: Preprocessing 3
% 10.63/2.23 % (3363253)Time elapsed: 0.096 s
% 10.63/2.23 % (3363253)Peak memory usage: 97 MB
% 10.63/2.23 % (3363253)Instructions burned: 129 (million)
% 10.63/2.23 % (3363263)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2026887319:i=325:sd=1:ss=axioms:sgt=32_2996 on theBenchmark for (2996ds/325Mi)
% 10.63/2.23 % (3363261)lrs+10_1_sil=8000:sp=occurrence:random_seed=132947800:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 10.63/2.23 % (3363263)Refutation not found, incomplete strategy
% 10.63/2.23 % (3363263)------------------------------
% 10.63/2.23 % (3363263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.63/2.23 % (3363263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.63/2.23 % (3363263)CaDiCaL version: 2.1.3
% 10.63/2.23 % (3363263)Termination reason: Refutation not found, incomplete strategy
% 19.84/3.64 % (3363263)Time elapsed: 0.030 s
% 19.84/3.64 % (3363263)Peak memory usage: 96 MB
% 19.84/3.64 % (3363263)Instructions burned: 72 (million)
% 19.84/3.64 % (3363262)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3928468374:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 19.84/3.64 % (3363264)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=3043711196:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 19.84/3.64 % (3363262)Refutation not found, incomplete strategy
% 19.84/3.64 % (3363262)------------------------------
% 19.84/3.64 % (3363262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.64 % (3363262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.64 % (3363262)CaDiCaL version: 2.1.3
% 19.84/3.64 % (3363262)Termination reason: Refutation not found, incomplete strategy
% 19.84/3.64 % (3363262)Time elapsed: 0.066 s
% 19.84/3.64 % (3363262)Peak memory usage: 96 MB
% 19.84/3.64 % (3363262)Instructions burned: 115 (million)
% 19.84/3.64 % (3363263)------------------------------
% 19.84/3.64 % (3363263)------------------------------
% 19.84/3.64 % (3363261)Instruction limit reached!
% 19.84/3.64 % (3363261)------------------------------
% 19.84/3.64 % (3363261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.64 % (3363261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.64 % (3363261)CaDiCaL version: 2.1.3
% 19.84/3.64 % (3363261)Termination reason: Instruction limit
% 19.84/3.64 % (3363261)Termination phase: Saturation
% 19.84/3.64 % (3363261)Time elapsed: 0.190 s
% 19.84/3.64 % (3363261)Peak memory usage: 100 MB
% 19.84/3.64 % (3363261)Instructions burned: 286 (million)
% 19.84/3.64 % (3363264)Instruction limit reached!
% 19.84/3.64 % (3363264)------------------------------
% 19.84/3.64 % (3363264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.64 % (3363264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.64 % (3363264)CaDiCaL version: 2.1.3
% 19.84/3.64 % (3363264)Termination reason: Instruction limit
% 19.84/3.64 % (3363264)Termination phase: Preprocessing 3
% 19.84/3.64 % (3363264)Time elapsed: 0.155 s
% 19.84/3.64 % (3363264)Peak memory usage: 100 MB
% 19.84/3.64 % (3363264)Instructions burned: 249 (million)
% 19.84/3.64 % (3363269)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2342767819:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 19.84/3.64 % (3363262)------------------------------
% 19.84/3.64 % (3363262)------------------------------
% 19.84/3.64 % (3363270)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1537133413:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 19.84/3.64 % (3363269)Instruction limit reached!
% 19.84/3.64 % (3363269)------------------------------
% 19.84/3.64 % (3363269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.64 % (3363269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.64 % (3363269)CaDiCaL version: 2.1.3
% 19.84/3.64 % (3363269)Termination reason: Instruction limit
% 19.84/3.64 % (3363269)Termination phase: Saturation
% 19.84/3.64 % (3363269)Time elapsed: 0.097 s
% 19.84/3.64 % (3363269)Peak memory usage: 100 MB
% 19.84/3.64 % (3363269)Instructions burned: 296 (million)
% 19.84/3.64 % (3363271)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1202110095:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 19.84/3.64 % (3363274)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=3335042003:i=127:av=off:fsr=off:sup=off_2992 on theBenchmark for (2992ds/127Mi)
% 19.84/3.64 % (3363271)Instruction limit reached!
% 19.84/3.64 % (3363271)------------------------------
% 19.84/3.64 % (3363271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.84/3.64 % (3363271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.84/3.64 % (3363271)CaDiCaL version: 2.1.3
% 19.84/3.64 % (3363271)Termination reason: Instruction limit
% 19.84/3.64 % (3363271)Termination phase: Property scanning
% 19.84/3.64 % (3363271)Time elapsed: 0.083 s
% 19.84/3.64 % (3363271)Peak memory usage: 95 MB
% 19.84/3.64 % (3363271)Instructions burned: 114 (million)
% 19.84/3.64 % (3363275)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=2394855248:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2992 on theBenchmark for (2992ds/114Mi)
% 41.85/6.65 % (3363274)Instruction limit reached!
% 41.85/6.65 % (3363274)------------------------------
% 41.85/6.65 % (3363274)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.85/6.65 % (3363274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.85/6.65 % (3363274)CaDiCaL version: 2.1.3
% 41.85/6.65 % (3363274)Termination reason: Instruction limit
% 41.85/6.65 % (3363274)Termination phase: Preprocessing 3
% 41.85/6.65 % (3363274)Time elapsed: 0.054 s
% 41.85/6.65 % (3363274)Peak memory usage: 99 MB
% 41.85/6.65 % (3363274)Instructions burned: 130 (million)
% 41.85/6.65 % (3363275)Instruction limit reached!
% 41.85/6.65 % (3363275)------------------------------
% 41.85/6.65 % (3363275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.85/6.65 % (3363275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.85/6.65 % (3363275)CaDiCaL version: 2.1.3
% 41.85/6.65 % (3363275)Termination reason: Instruction limit
% 41.85/6.65 % (3363275)Termination phase: Property scanning
% 41.85/6.65 % (3363275)Time elapsed: 0.050 s
% 41.85/6.65 % (3363275)Peak memory usage: 91 MB
% 41.85/6.65 % (3363275)Instructions burned: 114 (million)
% 41.85/6.65 % (3363278)lrs+10_1_sil=8000:sp=occurrence:random_seed=4030008174:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2991 on theBenchmark for (2991ds/907Mi)
% 41.85/6.65 % (3363280)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=683212593:i=437:sd=1:aac=none:ss=included_2990 on theBenchmark for (2990ds/437Mi)
% 41.85/6.65 % (3363281)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1814234789:i=5202:ss=axioms:sgt=16_2990 on theBenchmark for (2990ds/5202Mi)
% 41.85/6.65 % (3363280)Instruction limit reached!
% 41.85/6.65 % (3363280)------------------------------
% 41.85/6.65 % (3363280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.85/6.65 % (3363280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.85/6.65 % (3363280)CaDiCaL version: 2.1.3
% 41.85/6.65 % (3363280)Termination reason: Instruction limit
% 41.85/6.65 % (3363280)Termination phase: Saturation
% 41.85/6.65 % (3363280)Time elapsed: 0.108 s
% 41.85/6.65 % (3363280)Peak memory usage: 97 MB
% 41.85/6.65 % (3363280)Instructions burned: 440 (million)
% 41.85/6.65 % (3363285)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3796991137:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 41.85/6.65 % (3363285)Instruction limit reached!
% 41.85/6.65 % (3363285)------------------------------
% 41.85/6.65 % (3363285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.85/6.65 % (3363285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.85/6.65 % (3363285)CaDiCaL version: 2.1.3
% 41.85/6.65 % (3363285)Termination reason: Instruction limit
% 41.85/6.65 % (3363285)Termination phase: Saturation
% 41.85/6.65 % (3363285)Time elapsed: 0.049 s
% 41.85/6.65 % (3363285)Peak memory usage: 98 MB
% 41.85/6.65 % (3363285)Instructions burned: 137 (million)
% 41.85/6.65 % (3363287)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=391641008:st=8:i=592:sd=3:ep=RST:ss=axioms_2987 on theBenchmark for (2987ds/592Mi)
% 41.85/6.65 % (3363287)Instruction limit reached!
% 41.85/6.65 % (3363287)------------------------------
% 41.85/6.65 % (3363287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.85/6.65 % (3363287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.85/6.65 % (3363287)CaDiCaL version: 2.1.3
% 41.85/6.65 % (3363287)Termination reason: Instruction limit
% 41.85/6.65 % (3363287)Termination phase: Property scanning
% 41.85/6.65 % (3363287)Time elapsed: 0.172 s
% 41.85/6.65 % (3363287)Peak memory usage: 103 MB
% 41.85/6.65 % (3363287)Instructions burned: 594 (million)
% 41.85/6.65 % (3363278)Instruction limit reached!
% 41.85/6.65 % (3363278)------------------------------
% 41.85/6.65 % (3363278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.85/6.65 % (3363278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.85/6.65 % (3363278)CaDiCaL version: 2.1.3
% 41.85/6.65 % (3363278)Termination reason: Instruction limit
% 41.85/6.65 % (3363278)Termination phase: Saturation
% 41.85/6.65 % (3363278)Time elapsed: 0.578 s
% 41.85/6.65 % (3363278)Peak memory usage: 111 MB
% 41.85/6.65 % (3363278)Instructions burned: 907 (million)
% 41.85/6.65 % (3363289)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=713840276:st=3:i=13193:sd=3:ss=axioms_2984 on theBenchmark for (2984ds/13193Mi)
% 68.72/10.41 % (3363290)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=251734495:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 68.72/10.41 % (3363290)Instruction limit reached!
% 68.72/10.41 % (3363290)------------------------------
% 68.72/10.41 % (3363290)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.72/10.41 % (3363290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.41 % (3363290)CaDiCaL version: 2.1.3
% 68.72/10.41 % (3363290)Termination reason: Instruction limit
% 68.72/10.41 % (3363290)Termination phase: Preprocessing 1
% 68.72/10.41 % (3363290)Time elapsed: 0.079 s
% 68.72/10.41 % (3363290)Peak memory usage: 92 MB
% 68.72/10.41 % (3363290)Instructions burned: 126 (million)
% 68.72/10.41 % (3363293)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=3760624502:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 68.72/10.41 % (3363293)Instruction limit reached!
% 68.72/10.41 % (3363293)------------------------------
% 68.72/10.42 % (3363293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.72/10.42 % (3363293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.42 % (3363293)CaDiCaL version: 2.1.3
% 68.72/10.42 % (3363293)Termination reason: Instruction limit
% 68.72/10.42 % (3363293)Termination phase: Property scanning
% 68.72/10.42 % (3363293)Time elapsed: 0.059 s
% 68.72/10.42 % (3363293)Peak memory usage: 91 MB
% 68.72/10.42 % (3363293)Instructions burned: 136 (million)
% 68.72/10.42 % (3363295)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=380542676:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 68.72/10.42 % (3363295)Refutation not found, incomplete strategy
% 68.72/10.42 % (3363295)------------------------------
% 68.72/10.42 % (3363295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.72/10.42 % (3363295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.42 % (3363295)CaDiCaL version: 2.1.3
% 68.72/10.42 % (3363295)Termination reason: Refutation not found, incomplete strategy
% 68.72/10.42 % (3363295)Time elapsed: 0.029 s
% 68.72/10.42 % (3363295)Peak memory usage: 95 MB
% 68.72/10.42 % (3363295)Instructions burned: 34 (million)
% 68.72/10.42 % (3363270)Instruction limit reached!
% 68.72/10.42 % (3363270)------------------------------
% 68.72/10.42 % (3363270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.72/10.42 % (3363270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.42 % (3363270)CaDiCaL version: 2.1.3
% 68.72/10.42 % (3363270)Termination reason: Instruction limit
% 68.72/10.42 % (3363270)Termination phase: Saturation
% 68.72/10.42 % (3363270)Time elapsed: 1.624 s
% 68.72/10.42 % (3363270)Peak memory usage: 291 MB
% 68.72/10.42 % (3363270)Instructions burned: 2350 (million)
% 68.72/10.42 % (3363295)------------------------------
% 68.72/10.42 % (3363295)------------------------------
% 68.72/10.42 % (3363297)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=3161204390:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2975 on theBenchmark for (2975ds/431Mi)
% 68.72/10.42 % (3363298)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=3824650628:i=6060:aac=none:ins=25_2975 on theBenchmark for (2975ds/6060Mi)
% 68.72/10.42 % (3363297)Instruction limit reached!
% 68.72/10.42 % (3363297)------------------------------
% 68.72/10.42 % (3363297)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 68.72/10.42 % (3363297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 68.72/10.42 % (3363297)CaDiCaL version: 2.1.3
% 68.72/10.42 % (3363297)Termination reason: Instruction limit
% 68.72/10.42 % (3363297)Termination phase: Saturation
% 68.72/10.42 % (3363297)Time elapsed: 0.231 s
% 68.72/10.42 % (3363297)Peak memory usage: 98 MB
% 68.72/10.42 % (3363297)Instructions burned: 432 (million)
% 68.72/10.42 % (3363301)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=1040688906:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2972 on theBenchmark for (2972ds/150Mi)
% 68.72/10.42 % (3363301)Instruction limit reached!
% 68.72/10.42 % (3363301)------------------------------
% 68.72/10.42 % (3363301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.57/14.55 % (3363301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.57/14.55 % (3363301)CaDiCaL version: 2.1.3
% 97.57/14.55 % (3363301)Termination reason: Instruction limit
% 97.57/14.55 % (3363301)Termination phase: Preprocessing 3
% 97.57/14.55 % (3363301)Time elapsed: 0.104 s
% 97.57/14.55 % (3363301)Peak memory usage: 99 MB
% 97.57/14.55 % (3363301)Instructions burned: 151 (million)
% 97.57/14.55 % (3363303)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=3200832905:i=14155:bd=all_2969 on theBenchmark for (2969ds/14155Mi)
% 97.57/14.55 % (3363281)Instruction limit reached!
% 97.57/14.55 % (3363281)------------------------------
% 97.57/14.55 % (3363281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.57/14.55 % (3363281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.57/14.55 % (3363281)CaDiCaL version: 2.1.3
% 97.57/14.55 % (3363281)Termination reason: Instruction limit
% 97.57/14.55 % (3363281)Termination phase: Saturation
% 97.57/14.55 % (3363281)Time elapsed: 3.113 s
% 97.57/14.55 % (3363281)Peak memory usage: 169 MB
% 97.57/14.55 % (3363281)Instructions burned: 5202 (million)
% 97.57/14.55 % (3363305)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=347511852:i=667:av=off:fsr=off_2957 on theBenchmark for (2957ds/667Mi)
% 97.57/14.55 % (3363305)Instruction limit reached!
% 97.57/14.55 % (3363305)------------------------------
% 97.57/14.55 % (3363305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.57/14.55 % (3363305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.57/14.55 % (3363305)CaDiCaL version: 2.1.3
% 97.57/14.55 % (3363305)Termination reason: Instruction limit
% 97.57/14.55 % (3363305)Termination phase: Saturation
% 97.57/14.55 % (3363305)Time elapsed: 0.339 s
% 97.57/14.55 % (3363305)Peak memory usage: 107 MB
% 97.57/14.55 % (3363305)Instructions burned: 668 (million)
% 97.57/14.55 % (3363307)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=3154757314:s2a=on:i=185:s2at=1.8:fdi=4_2952 on theBenchmark for (2952ds/185Mi)
% 97.57/14.55 % (3363307)Instruction limit reached!
% 97.57/14.55 % (3363307)------------------------------
% 97.57/14.55 % (3363307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.57/14.55 % (3363307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.57/14.55 % (3363307)CaDiCaL version: 2.1.3
% 97.57/14.55 % (3363307)Termination reason: Instruction limit
% 97.57/14.55 % (3363307)Termination phase: NewCNF
% 97.57/14.55 % (3363307)Time elapsed: 0.127 s
% 97.57/14.55 % (3363307)Peak memory usage: 101 MB
% 97.57/14.55 % (3363307)Instructions burned: 185 (million)
% 97.57/14.55 % (3363309)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=3966932043:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2950 on theBenchmark for (2950ds/193Mi)
% 97.57/14.55 % (3363309)Instruction limit reached!
% 97.57/14.55 % (3363309)------------------------------
% 97.57/14.55 % (3363309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.57/14.55 % (3363309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.57/14.55 % (3363309)CaDiCaL version: 2.1.3
% 97.57/14.55 % (3363309)Termination reason: Instruction limit
% 97.57/14.55 % (3363309)Termination phase: Saturation
% 97.57/14.55 % (3363309)Time elapsed: 0.115 s
% 97.57/14.55 % (3363309)Peak memory usage: 99 MB
% 97.57/14.55 % (3363309)Instructions burned: 194 (million)
% 97.57/14.55 % (3363311)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=2276502573:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2947 on theBenchmark for (2947ds/4850Mi)
% 97.57/14.55 % (3363289)Instruction limit reached!
% 97.57/14.55 % (3363289)------------------------------
% 97.57/14.55 % (3363289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 97.57/14.55 % (3363289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 97.57/14.55 % (3363289)CaDiCaL version: 2.1.3
% 97.57/14.55 % (3363289)Termination reason: Instruction limit
% 97.57/14.55 % (3363289)Termination phase: Saturation
% 97.57/14.55 % (3363289)Time elapsed: 4.315 s
% 97.57/14.55 % (3363289)Peak memory usage: 251 MB
% 97.57/14.55 % (3363289)Instructions burned: 13196 (million)
% 97.57/14.55 % (3363313)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:random_seed=2574948111:i=12111:sd=1:ss=included_2940 on theBenchmark for (2940ds/12111Mi)
% 120.80/17.84 % (3363298)Instruction limit reached!
% 120.80/17.84 % (3363298)------------------------------
% 120.80/17.84 % (3363298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.80/17.84 % (3363298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.80/17.84 % (3363298)CaDiCaL version: 2.1.3
% 120.80/17.84 % (3363298)Termination reason: Instruction limit
% 120.80/17.84 % (3363298)Termination phase: Saturation
% 120.80/17.84 % (3363298)Time elapsed: 3.600 s
% 120.80/17.84 % (3363298)Peak memory usage: 298 MB
% 120.80/17.84 % (3363298)Instructions burned: 6061 (million)
% 120.80/17.84 % (3363315)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1281139594:i=319:kws=precedence:fsr=off_2938 on theBenchmark for (2938ds/319Mi)
% 120.80/17.84 % (3363315)Instruction limit reached!
% 120.80/17.84 % (3363315)------------------------------
% 120.80/17.84 % (3363315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.80/17.84 % (3363315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.80/17.84 % (3363315)CaDiCaL version: 2.1.3
% 120.80/17.84 % (3363315)Termination reason: Instruction limit
% 120.80/17.84 % (3363315)Termination phase: Function definition elimination
% 120.80/17.84 % (3363315)Time elapsed: 0.176 s
% 120.80/17.84 % (3363315)Peak memory usage: 103 MB
% 120.80/17.84 % (3363315)Instructions burned: 321 (million)
% 120.80/17.84 % (3363317)dis+2_1024_sil=8000:sp=reverse_arity:sos=on:lcm=reverse:sac=on:random_seed=4151089688:i=2064:ep=RST_2935 on theBenchmark for (2935ds/2064Mi)
% 120.80/17.84 % (3363317)Instruction limit reached!
% 120.80/17.84 % (3363317)------------------------------
% 120.80/17.84 % (3363317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.80/17.84 % (3363317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.80/17.84 % (3363317)CaDiCaL version: 2.1.3
% 120.80/17.84 % (3363317)Termination reason: Instruction limit
% 120.80/17.84 % (3363317)Termination phase: Saturation
% 120.80/17.84 % (3363317)Time elapsed: 1.053 s
% 120.80/17.84 % (3363317)Peak memory usage: 133 MB
% 120.80/17.84 % (3363317)Instructions burned: 2064 (million)
% 120.80/17.84 % (3363311)Instruction limit reached!
% 120.80/17.84 % (3363311)------------------------------
% 120.80/17.84 % (3363311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.80/17.84 % (3363311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.80/17.84 % (3363311)CaDiCaL version: 2.1.3
% 120.80/17.84 % (3363311)Termination reason: Instruction limit
% 120.80/17.84 % (3363311)Termination phase: Saturation
% 120.80/17.84 % (3363311)Time elapsed: 2.419 s
% 120.80/17.84 % (3363311)Peak memory usage: 134 MB
% 120.80/17.84 % (3363311)Instructions burned: 4850 (million)
% 120.80/17.84 % (3363319)dis-1011_128_sil=32000:random_seed=1969556127:i=3706:ep=RST:av=off_2923 on theBenchmark for (2923ds/3706Mi)
% 120.80/17.84 % (3363320)lrs-1002_1_sil=8000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:fs=off:gs=on:newcnf=on:random_seed=1916141388:i=757:sd=2:fsr=off:ss=axioms:sgt=40_2922 on theBenchmark for (2922ds/757Mi)
% 120.80/17.84 % (3363320)Instruction limit reached!
% 120.80/17.84 % (3363320)------------------------------
% 120.80/17.84 % (3363320)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.80/17.84 % (3363320)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.80/17.84 % (3363320)CaDiCaL version: 2.1.3
% 120.80/17.84 % (3363320)Termination reason: Instruction limit
% 120.80/17.84 % (3363320)Termination phase: Saturation
% 120.80/17.84 % (3363320)Time elapsed: 0.485 s
% 120.80/17.84 % (3363320)Peak memory usage: 106 MB
% 120.80/17.84 % (3363320)Instructions burned: 757 (million)
% 120.80/17.84 % (3363323)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=occurrence:random_seed=1298138577:i=13913:ss=axioms:sgt=8_2915 on theBenchmark for (2915ds/13913Mi)
% 120.80/17.84 % (3363319)Instruction limit reached!
% 120.80/17.84 % (3363319)------------------------------
% 120.80/17.84 % (3363319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 120.80/17.84 % (3363319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 120.80/17.84 % (3363319)CaDiCaL version: 2.1.3
% 120.80/17.84 % (3363319)Termination reason: Instruction limit
% 120.80/17.84 % (3363319)Termination phase: Saturation
% 120.80/17.84 % (3363319)Time elapsed: 1.879 s
% 120.80/17.84 % (3363319)Peak memory usage: 129 MB
% 120.80/17.84 % (3363319)Instructions burned: 3706 (million)
% 120.80/17.84 % (3363325)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=const_frequency:sos=all:lma=off:random_seed=3088208262:i=9925:aac=none_2903 on theBenchmark for (2903ds/9925Mi)
% 144.93/21.18 % (3363313)Instruction limit reached!
% 144.93/21.18 % (3363313)------------------------------
% 144.93/21.18 % (3363313)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.93/21.18 % (3363313)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.93/21.18 % (3363313)CaDiCaL version: 2.1.3
% 144.93/21.18 % (3363313)Termination reason: Instruction limit
% 144.93/21.18 % (3363313)Termination phase: Saturation
% 144.93/21.18 % (3363313)Time elapsed: 4.274 s
% 144.93/21.18 % (3363313)Peak memory usage: 237 MB
% 144.93/21.18 % (3363313)Instructions burned: 12112 (million)
% 144.93/21.18 % (3363327)dis-1010_50_to=lpo:sil=32000:sp=arity:sos=on:spb=goal_then_units:urr=ec_only:slsq=on:random_seed=3872277730:i=2479:sd=2:nm=16:fsr=off:ss=axioms_2896 on theBenchmark for (2896ds/2479Mi)
% 144.93/21.18 % (3363303)Instruction limit reached!
% 144.93/21.18 % (3363303)------------------------------
% 144.93/21.18 % (3363303)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.93/21.18 % (3363303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.93/21.18 % (3363303)CaDiCaL version: 2.1.3
% 144.93/21.18 % (3363303)Termination reason: Instruction limit
% 144.93/21.18 % (3363303)Termination phase: Saturation
% 144.93/21.18 % (3363303)Time elapsed: 7.974 s
% 144.93/21.18 % (3363303)Peak memory usage: 295 MB
% 144.93/21.18 % (3363303)Instructions burned: 14156 (million)
% 144.93/21.18 % (3363327)Instruction limit reached!
% 144.93/21.18 % (3363327)------------------------------
% 144.93/21.18 % (3363327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.93/21.18 % (3363327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.93/21.18 % (3363327)CaDiCaL version: 2.1.3
% 144.93/21.18 % (3363327)Termination reason: Instruction limit
% 144.93/21.18 % (3363327)Termination phase: Saturation
% 144.93/21.18 % (3363327)Time elapsed: 0.763 s
% 144.93/21.18 % (3363327)Peak memory usage: 106 MB
% 144.93/21.18 % (3363327)Instructions burned: 2481 (million)
% 144.93/21.18 % (3363330)dis-1011_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:erd=off:lsd=100:bsr=unit_only:random_seed=55318473:st=1.5:i=11145:s2at=3:sd=3:fsr=off:ss=axioms_2888 on theBenchmark for (2888ds/11145Mi)
% 144.93/21.18 % (3363329)ott+1002_64_sil=16000:sp=const_min:nwc=0.5:random_seed=2863273402:i=440:nm=2:av=off:gtg=exists_all:fdi=8:gsp=on_2888 on theBenchmark for (2888ds/440Mi)
% 144.93/21.18 % (3363329)Instruction limit reached!
% 144.93/21.18 % (3363329)------------------------------
% 144.93/21.18 % (3363329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.93/21.18 % (3363329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.93/21.18 % (3363329)CaDiCaL version: 2.1.3
% 144.93/21.18 % (3363329)Termination reason: Instruction limit
% 144.93/21.18 % (3363329)Termination phase: Property scanning
% 144.93/21.18 % (3363329)Time elapsed: 0.243 s
% 144.93/21.18 % (3363329)Peak memory usage: 107 MB
% 144.93/21.18 % (3363329)Instructions burned: 442 (million)
% 144.93/21.18 % (3363333)lrs+1002_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=unary_frequency:lcm=reverse:urr=on:bsr=on:random_seed=175553071:cts=off:i=3034:av=off:er=known:fsd=on_2884 on theBenchmark for (2884ds/3034Mi)
% 144.93/21.18 % (3363333)Instruction limit reached!
% 144.93/21.18 % (3363333)------------------------------
% 144.93/21.18 % (3363333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.93/21.18 % (3363333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.93/21.18 % (3363333)CaDiCaL version: 2.1.3
% 144.93/21.18 % (3363333)Termination reason: Instruction limit
% 144.93/21.18 % (3363333)Termination phase: Saturation
% 144.93/21.18 % (3363333)Time elapsed: 1.868 s
% 144.93/21.18 % (3363333)Peak memory usage: 295 MB
% 144.93/21.18 % (3363333)Instructions burned: 3035 (million)
% 144.93/21.18 % (3363335)lrs-1011_64:1_sil=8000:erd=off:urr=on:nwc=0.7:br=off:random_seed=1044835575:st=2:s2a=on:i=524:s2at=2:ss=axioms_2864 on theBenchmark for (2864ds/524Mi)
% 144.93/21.18 % (3363335)Instruction limit reached!
% 144.93/21.18 % (3363335)------------------------------
% 144.93/21.18 % (3363335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 144.93/21.18 % (3363335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 144.93/21.18 % (3363335)CaDiCaL version: 2.1.3
% 144.93/21.18 % (3363335)Termination reason: Instruction limit
% 144.93/21.18 % (3363335)Termination phase: Saturation
% 144.93/21.18 % (3363335)Time elapsed: 0.280 s
% 144.93/21.18 % (3363335)Peak memory usage: 104 MB
% 173.31/25.15 % (3363335)Instructions burned: 525 (million)
% 173.31/25.15 % (3363337)lrs+1011_16:1_sil=8000:acc=on:urr=on:fd=preordered:flr=on:random_seed=3735062911:avsq=on:i=1016:avsqr=676809,524288:sd=1:ss=axioms_2860 on theBenchmark for (2860ds/1016Mi)
% 173.31/25.15 % (3363337)Refutation not found, incomplete strategy
% 173.31/25.15 % (3363337)------------------------------
% 173.31/25.15 % (3363337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.31/25.15 % (3363337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.31/25.15 % (3363337)CaDiCaL version: 2.1.3
% 173.31/25.15 % (3363337)Termination reason: Refutation not found, incomplete strategy
% 173.31/25.15 % (3363337)Time elapsed: 0.069 s
% 173.31/25.15 % (3363337)Peak memory usage: 97 MB
% 173.31/25.15 % (3363337)Instructions burned: 101 (million)
% 173.31/25.15 % (3363337)------------------------------
% 173.31/25.15 % (3363337)------------------------------
% 173.31/25.15 % (3363339)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:drc=off:fde=none:s2agt=16:random_seed=919294443:i=14123:bd=preordered:ins=4_2856 on theBenchmark for (2856ds/14123Mi)
% 173.31/25.15 % (3363330)Instruction limit reached!
% 173.31/25.15 % (3363330)------------------------------
% 173.31/25.15 % (3363330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.31/25.15 % (3363330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.31/25.15 % (3363330)CaDiCaL version: 2.1.3
% 173.31/25.15 % (3363330)Termination reason: Instruction limit
% 173.31/25.15 % (3363330)Termination phase: Saturation
% 173.31/25.15 % (3363330)Time elapsed: 3.874 s
% 173.31/25.15 % (3363330)Peak memory usage: 223 MB
% 173.31/25.15 % (3363330)Instructions burned: 11145 (million)
% 173.31/25.15 % (3363343)dis+10_4096_slsqr=16,1:sil=32000:tgt=full:plsq=on:bsr=unit_only:slsqc=1:slsq=on:random_seed=1735327586:i=5781:kws=precedence:bd=all:rawr=on_2848 on theBenchmark for (2848ds/5781Mi)
% 173.31/25.15 % (3363325)Instruction limit reached!
% 173.31/25.15 % (3363325)------------------------------
% 173.31/25.15 % (3363325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.31/25.15 % (3363325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.31/25.15 % (3363325)CaDiCaL version: 2.1.3
% 173.31/25.15 % (3363325)Termination reason: Instruction limit
% 173.31/25.15 % (3363325)Termination phase: Saturation
% 173.31/25.15 % (3363325)Time elapsed: 5.448 s
% 173.31/25.15 % (3363325)Peak memory usage: 301 MB
% 173.31/25.15 % (3363325)Instructions burned: 9926 (million)
% 173.31/25.15 % (3363345)lrs-1011_1_to=lpo:ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:drc=off:sp=reverse_frequency:erd=off:urr=on:br=off:random_seed=4287462861:i=2448:gtgl=5:bd=preordered:gtg=all_2847 on theBenchmark for (2847ds/2448Mi)
% 173.31/25.15 % (3363343)Instruction limit reached!
% 173.31/25.15 % (3363343)------------------------------
% 173.31/25.15 % (3363343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.31/25.15 % (3363343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.31/25.15 % (3363343)CaDiCaL version: 2.1.3
% 173.31/25.15 % (3363343)Termination reason: Instruction limit
% 173.31/25.15 % (3363343)Termination phase: Saturation
% 173.31/25.15 % (3363343)Time elapsed: 1.550 s
% 173.31/25.15 % (3363343)Peak memory usage: 123 MB
% 173.31/25.15 % (3363343)Instructions burned: 5785 (million)
% 173.31/25.15 % (3363347)lrs+1011_1_ncem=casc2026/models/loop5.pt:sil=32000:tgt=full:npcc=on:lcm=reverse:random_seed=3856984721:i=3223:kws=precedence:fgj=on:av=off_2832 on theBenchmark for (2832ds/3223Mi)
% 173.31/25.15 % (3363345)Instruction limit reached!
% 173.31/25.15 % (3363345)------------------------------
% 173.31/25.15 % (3363345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.31/25.15 % (3363345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 173.31/25.15 % (3363345)CaDiCaL version: 2.1.3
% 173.31/25.15 % (3363345)Termination reason: Instruction limit
% 173.31/25.15 % (3363345)Termination phase: Saturation
% 173.31/25.15 % (3363345)Time elapsed: 1.596 s
% 173.31/25.15 % (3363345)Peak memory usage: 279 MB
% 173.31/25.15 % (3363345)Instructions burned: 2451 (million)
% 173.31/25.15 % (3363349)lrs+1002_1_ncem=casc2026/models/loop4.pt:sil=8000:npcc=on:sp=occurrence:sos=on:random_seed=424915113:st=5.6:i=2033:sd=3:ss=axioms_2829 on theBenchmark for (2829ds/2033Mi)
% 173.31/25.15 % (3363323)Instruction limit reached!
% 173.31/25.15 % (3363323)------------------------------
% 173.31/25.15 % (3363323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 173.31/25.15 % (3363323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.17/30.64 % (3363323)CaDiCaL version: 2.1.3
% 212.17/30.64 % (3363323)Termination reason: Instruction limit
% 212.17/30.64 % (3363323)Termination phase: Saturation
% 212.17/30.64 % (3363323)Time elapsed: 8.684 s
% 212.17/30.64 % (3363323)Peak memory usage: 241 MB
% 212.17/30.64 % (3363323)Instructions burned: 13914 (million)
% 212.17/30.64 % (3363351)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:bsd=on:random_seed=2044393059:i=2055:nm=16:gtg=position:ss=axioms:fsd=on_2827 on theBenchmark for (2827ds/2055Mi)
% 212.17/30.64 % (3363347)Instruction limit reached!
% 212.17/30.64 % (3363347)------------------------------
% 212.17/30.64 % (3363347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.17/30.64 % (3363347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.17/30.64 % (3363347)CaDiCaL version: 2.1.3
% 212.17/30.64 % (3363347)Termination reason: Instruction limit
% 212.17/30.64 % (3363347)Termination phase: Saturation
% 212.17/30.64 % (3363347)Time elapsed: 1.154 s
% 212.17/30.64 % (3363347)Peak memory usage: 269 MB
% 212.17/30.64 % (3363347)Instructions burned: 3225 (million)
% 212.17/30.64 % (3363353)dis+1010_1_ncem=casc2026/models/loop7.pt:sil=64000:tgt=full:npcc=on:fde=unused:sp=const_frequency:spb=goal:acc=on:random_seed=1940507799:i=21611:sd=3:ss=axioms_2819 on theBenchmark for (2819ds/21611Mi)
% 212.17/30.64 % (3363349)Instruction limit reached!
% 212.17/30.64 % (3363349)------------------------------
% 212.17/30.64 % (3363349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.17/30.64 % (3363349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.17/30.64 % (3363349)CaDiCaL version: 2.1.3
% 212.17/30.64 % (3363349)Termination reason: Instruction limit
% 212.17/30.64 % (3363349)Termination phase: Saturation
% 212.17/30.64 % (3363349)Time elapsed: 1.365 s
% 212.17/30.64 % (3363349)Peak memory usage: 253 MB
% 212.17/30.64 % (3363349)Instructions burned: 2035 (million)
% 212.17/30.64 % (3363351)Instruction limit reached!
% 212.17/30.64 % (3363351)------------------------------
% 212.17/30.64 % (3363351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.17/30.64 % (3363351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.17/30.64 % (3363351)CaDiCaL version: 2.1.3
% 212.17/30.64 % (3363351)Termination reason: Instruction limit
% 212.17/30.64 % (3363351)Termination phase: Saturation
% 212.17/30.64 % (3363351)Time elapsed: 1.220 s
% 212.17/30.64 % (3363351)Peak memory usage: 165 MB
% 212.17/30.64 % (3363351)Instructions burned: 2056 (million)
% 212.17/30.64 % (3363355)lrs+10_1_sil=8000:sp=occurrence:sos=all:lma=off:random_seed=1461383861:i=4835:sd=13:ss=axioms:sgt=23_2814 on theBenchmark for (2814ds/4835Mi)
% 212.17/30.64 % (3363356)lrs+10_1_to=lpo:sil=32000:plsq=on:plsqc=1:bsd=on:plsqr=64,1:sp=reverse_frequency:bsr=unit_only:plsql=on:fd=off:slsqc=4:newcnf=on:slsq=on:random_seed=2106909486:st=5:i=797:s2at=3:sd=4:bs=unit_only:av=off:sup=off:ss=included_2813 on theBenchmark for (2813ds/797Mi)
% 212.17/30.64 % (3363356)Instruction limit reached!
% 212.17/30.64 % (3363356)------------------------------
% 212.17/30.64 % (3363356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.17/30.64 % (3363356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.17/30.64 % (3363356)CaDiCaL version: 2.1.3
% 212.17/30.64 % (3363356)Termination reason: Instruction limit
% 212.17/30.64 % (3363356)Termination phase: Property scanning
% 212.17/30.64 % (3363356)Time elapsed: 0.387 s
% 212.17/30.64 % (3363356)Peak memory usage: 104 MB
% 212.17/30.64 % (3363356)Instructions burned: 798 (million)
% 212.17/30.64 % (3363359)lrs-1011_5_sil=8000:sp=const_max:sos=on:lsd=50:rnwc=on:rp=on:nwc=2.6:alpa=false:random_seed=4176372917:i=2326:kws=inv_precedence:aac=none:nicw=on:bs=unit_only:nm=16:ins=2:fsd=on_2808 on theBenchmark for (2808ds/2326Mi)
% 212.17/30.64 % (3363359)Instruction limit reached!
% 212.17/30.64 % (3363359)------------------------------
% 212.17/30.64 % (3363359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 212.17/30.64 % (3363359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 212.17/30.64 % (3363359)CaDiCaL version: 2.1.3
% 212.17/30.64 % (3363359)Termination reason: Instruction limit
% 212.17/30.64 % (3363359)Termination phase: Saturation
% 212.17/30.64 % (3363359)Time elapsed: 1.191 s
% 212.17/30.64 % (3363359)Peak memory usage: 129 MB
% 212.17/30.64 % (3363359)Instructions burned: 2326 (million)
% 212.17/30.64 % (3363361)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=8000:npcc=on:sos=all:urr=on:br=off:random_seed=3720158921:i=6038:nm=6_2795 on theBenchmark for (2795ds/6038Mi)
% 138.19/39.08 % (3363355)Instruction limit reached!
% 138.19/39.08 % (3363355)------------------------------
% 138.19/39.08 % (3363355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363355)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363355)Termination reason: Instruction limit
% 138.19/39.08 % (3363355)Termination phase: Saturation
% 138.19/39.08 % (3363355)Time elapsed: 2.584 s
% 138.19/39.08 % (3363355)Peak memory usage: 145 MB
% 138.19/39.08 % (3363355)Instructions burned: 4835 (million)
% 138.19/39.08 % (3363363)lrs+10_1_sil=32000:sp=occurrence:random_seed=390279663:st=2:i=33334:sd=3:ss=included:sgt=32_2787 on theBenchmark for (2787ds/33334Mi)
% 138.19/39.08 % (3363339)Instruction limit reached!
% 138.19/39.08 % (3363339)------------------------------
% 138.19/39.08 % (3363339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363339)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363339)Termination reason: Instruction limit
% 138.19/39.08 % (3363339)Termination phase: Saturation
% 138.19/39.08 % (3363339)Time elapsed: 7.768 s
% 138.19/39.08 % (3363339)Peak memory usage: 275 MB
% 138.19/39.08 % (3363339)Instructions burned: 14123 (million)
% 138.19/39.08 % (3363365)lrs+10_4_sil=8000:plsq=on:plsqr=1,64:sp=occurrence:urr=on:bsr=on:br=off:random_seed=1633870375:st=3.7:s2a=on:i=1008:s2at=1.2:sd=3:bd=all:av=off:fdi=8:sup=off:ss=axioms_2776 on theBenchmark for (2776ds/1008Mi)
% 138.19/39.08 % (3363365)Instruction limit reached!
% 138.19/39.08 % (3363365)------------------------------
% 138.19/39.08 % (3363365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363365)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363365)Termination reason: Instruction limit
% 138.19/39.08 % (3363365)Termination phase: Saturation
% 138.19/39.08 % (3363365)Time elapsed: 0.554 s
% 138.19/39.08 % (3363365)Peak memory usage: 109 MB
% 138.19/39.08 % (3363365)Instructions burned: 1009 (million)
% 138.19/39.08 % (3363367)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=128000:tgt=ground:npcc=on:fde=none:sp=const_frequency:spb=intro:gs=on:random_seed=2586002667:i=8327:s2at=5:bd=preordered_2770 on theBenchmark for (2770ds/8327Mi)
% 138.19/39.08 % (3363361)Instruction limit reached!
% 138.19/39.08 % (3363361)------------------------------
% 138.19/39.08 % (3363361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363361)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363361)Termination reason: Instruction limit
% 138.19/39.08 % (3363361)Termination phase: Saturation
% 138.19/39.08 % (3363361)Time elapsed: 3.149 s
% 138.19/39.08 % (3363361)Peak memory usage: 223 MB
% 138.19/39.08 % (3363361)Instructions burned: 6038 (million)
% 138.19/39.08 % (3363369)lrs+1002_1_slsqr=3,2:sil=8000:tgt=full:plsq=on:fde=unused:plsqc=1:plsqr=3,2:sp=reverse_arity:spb=intro:urr=on:plsql=on:s2agt=16:br=off:slsqc=2:slsq=on:random_seed=1822088897:s2a=on:i=1083:s2at=1.87328:slsql=off:ep=RSTC:fdi=16_2762 on theBenchmark for (2762ds/1083Mi)
% 138.19/39.08 % (3363369)Instruction limit reached!
% 138.19/39.08 % (3363369)------------------------------
% 138.19/39.08 % (3363369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363369)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363369)Termination reason: Instruction limit
% 138.19/39.08 % (3363369)Termination phase: Saturation
% 138.19/39.08 % (3363369)Time elapsed: 0.551 s
% 138.19/39.08 % (3363369)Peak memory usage: 115 MB
% 138.19/39.08 % (3363369)Instructions burned: 1083 (million)
% 138.19/39.08 % (3363353)Instruction limit reached!
% 138.19/39.08 % (3363353)------------------------------
% 138.19/39.08 % (3363353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363353)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363353)Termination reason: Instruction limit
% 138.19/39.08 % (3363353)Termination phase: Saturation
% 138.19/39.08 % (3363353)Time elapsed: 6.380 s
% 138.19/39.08 % (3363353)Peak memory usage: 259 MB
% 138.19/39.08 % (3363353)Instructions burned: 21613 (million)
% 138.19/39.08 % (3363371)lrs-1004_3_to=lpo:sil=16000:drc=off:sims=off:spb=goal:fd=preordered:random_seed=2721050490:i=1084:sd=1:bd=preordered:av=off:fsr=off:ss=axioms:sgt=14_2755 on theBenchmark for (2755ds/1084Mi)
% 138.19/39.08 % (3363373)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:erd=off:spb=goal:sac=on:newcnf=on:random_seed=1467074770:i=6995:s2at=5:gtg=all_2754 on theBenchmark for (2754ds/6995Mi)
% 138.19/39.08 % (3363371)Instruction limit reached!
% 138.19/39.08 % (3363371)------------------------------
% 138.19/39.08 % (3363371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363371)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363371)Termination reason: Instruction limit
% 138.19/39.08 % (3363371)Termination phase: Saturation
% 138.19/39.08 % (3363371)Time elapsed: 0.599 s
% 138.19/39.08 % (3363371)Peak memory usage: 105 MB
% 138.19/39.08 % (3363371)Instructions burned: 1084 (million)
% 138.19/39.08 % (3363375)lrs+10_1_sil=32000:sp=occurrence:sos=on:urr=on:rnwc=on:random_seed=1370106851:st=2:i=6225:sd=15:ss=axioms_2748 on theBenchmark for (2748ds/6225Mi)
% 138.19/39.08 % (3363373)Instruction limit reached!
% 138.19/39.08 % (3363373)------------------------------
% 138.19/39.08 % (3363373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363373)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363373)Termination reason: Instruction limit
% 138.19/39.08 % (3363373)Termination phase: Saturation
% 138.19/39.08 % (3363373)Time elapsed: 2.119 s
% 138.19/39.08 % (3363373)Peak memory usage: 239 MB
% 138.19/39.08 % (3363373)Instructions burned: 6999 (million)
% 138.19/39.08 % (3363377)dis-1011_1_ncem=casc2026/models/loop7.pt:sil=64000:npcc=on:lcm=reverse:random_seed=3917984413:cond=fast:i=3372:sd=1:nm=16:gtg=position:ss=axioms_2731 on theBenchmark for (2731ds/3372Mi)
% 138.19/39.08 % (3363377)Refutation not found, incomplete strategy
% 138.19/39.08 % (3363377)------------------------------
% 138.19/39.08 % (3363377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363377)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363377)Termination reason: Refutation not found, incomplete strategy
% 138.19/39.08 % (3363377)Time elapsed: 0.448 s
% 138.19/39.08 % (3363377)Peak memory usage: 139 MB
% 138.19/39.08 % (3363377)Instructions burned: 1143 (million)
% 138.19/39.08 % (3363377)------------------------------
% 138.19/39.08 % (3363377)------------------------------
% 138.19/39.08 % (3363379)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sos=all:random_seed=136936024:st=2.3:i=26457:sd=10:ss=included:sgt=8_2725 on theBenchmark for (2725ds/26457Mi)
% 138.19/39.08 % (3363367)Instruction limit reached!
% 138.19/39.08 % (3363367)------------------------------
% 138.19/39.08 % (3363367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363367)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363367)Termination reason: Instruction limit
% 138.19/39.08 % (3363367)Termination phase: Saturation
% 138.19/39.08 % (3363367)Time elapsed: 4.820 s
% 138.19/39.08 % (3363367)Peak memory usage: 283 MB
% 138.19/39.08 % (3363367)Instructions burned: 8329 (million)
% 138.19/39.08 % (3363381)lrs+10_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:sp=const_frequency:acc=on:urr=on:foolp=on:s2agt=20:sac=on:random_seed=2200589333:i=13494:s2at=1.31:bd=all:ins=10:gtg=exists_top_2720 on theBenchmark for (2720ds/13494Mi)
% 138.19/39.08 % (3363375)Instruction limit reached!
% 138.19/39.08 % (3363375)------------------------------
% 138.19/39.08 % (3363375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363375)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363375)Termination reason: Instruction limit
% 138.19/39.08 % (3363375)Termination phase: Saturation
% 138.19/39.08 % (3363375)Time elapsed: 3.072 s
% 138.19/39.08 % (3363375)Peak memory usage: 205 MB
% 138.19/39.08 % (3363375)Instructions burned: 6225 (million)
% 138.19/39.08 % (3363383)dis-1010_1_ncem=casc2026/models/loop5.pt:sil=32000:npcc=on:fde=unused:sp=const_min:spb=goal_then_units:lcm=predicate:acc=on:flr=on:random_seed=222644572:i=2503:nm=4:gsp=on:ss=axioms:sgt=15_2716 on theBenchmark for (2716ds/2503Mi)
% 138.19/39.08 % (3363383)Instruction limit reached!
% 138.19/39.08 % (3363383)------------------------------
% 138.19/39.08 % (3363383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363383)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363383)Termination reason: Instruction limit
% 138.19/39.08 % (3363383)Termination phase: Saturation
% 138.19/39.08 % (3363383)Time elapsed: 1.532 s
% 138.19/39.08 % (3363383)Peak memory usage: 174 MB
% 138.19/39.08 % (3363383)Instructions burned: 2503 (million)
% 138.19/39.08 % (3363386)lrs+1011_1_ncem=casc2026/models/loop1.pt:sil=16000:npcc=on:sos=on:lsd=10:random_seed=3831689493:i=2559:sd=1:ep=RSTC:ss=axioms_2699 on theBenchmark for (2699ds/2559Mi)
% 138.19/39.08 % (3363386)Instruction limit reached!
% 138.19/39.08 % (3363386)------------------------------
% 138.19/39.08 % (3363386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363386)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363386)Termination reason: Instruction limit
% 138.19/39.08 % (3363386)Termination phase: Saturation
% 138.19/39.08 % (3363386)Time elapsed: 1.523 s
% 138.19/39.08 % (3363386)Peak memory usage: 153 MB
% 138.19/39.08 % (3363386)Instructions burned: 2559 (million)
% 138.19/39.08 % (3363388)ott+1_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:fdtod=off:random_seed=1608775199:i=30753:av=off:ss=included_2682 on theBenchmark for (2682ds/30753Mi)
% 138.19/39.08 % (3363379)Instruction limit reached!
% 138.19/39.08 % (3363379)------------------------------
% 138.19/39.08 % (3363379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363379)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363379)Termination reason: Instruction limit
% 138.19/39.08 % (3363379)Termination phase: Saturation
% 138.19/39.08 % (3363379)Time elapsed: 7.620 s
% 138.19/39.08 % (3363379)Peak memory usage: 344 MB
% 138.19/39.08 % (3363379)Instructions burned: 26461 (million)
% 138.19/39.08 % (3363390)lrs+10_1024_sil=64000:plsq=on:plsqc=4:plsqr=128,1:urr=on:plsql=on:br=off:random_seed=3527747640:i=26473:ep=RSTC_2647 on theBenchmark for (2647ds/26473Mi)
% 138.19/39.08 % (3363381)Instruction limit reached!
% 138.19/39.08 % (3363381)------------------------------
% 138.19/39.08 % (3363381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363381)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363381)Termination reason: Instruction limit
% 138.19/39.08 % (3363381)Termination phase: Saturation
% 138.19/39.08 % (3363381)Time elapsed: 8.177 s
% 138.19/39.08 % (3363381)Peak memory usage: 324 MB
% 138.19/39.08 % (3363381)Instructions burned: 13495 (million)
% 138.19/39.08 % (3363392)dis-1011_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=32000:tgt=ground:npcc=on:sp=arity:sos=on:erd=off:rp=on:gs=on:kmz=on:random_seed=3958579317:cts=off:i=2759:kws=inv_arity:fgj=on_2636 on theBenchmark for (2636ds/2759Mi)
% 138.19/39.08 % (3363388)First to succeed.
% 138.19/39.08 % (3363388)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3363242"
% 138.19/39.08 % (3363392)Instruction limit reached!
% 138.19/39.08 % (3363392)------------------------------
% 138.19/39.08 % (3363392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 138.19/39.08 % (3363392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 138.19/39.08 % (3363392)CaDiCaL version: 2.1.3
% 138.19/39.08 % (3363392)Termination reason: Instruction limit
% 138.19/39.08 % (3363392)Termination phase: Saturation
% 138.19/39.08 % (3363392)Time elapsed: 1.763 s
% 138.19/39.08 % (3363392)Peak memory usage: 282 MB
% 138.19/39.08 % (3363392)Instructions burned: 2759 (million)
% 138.19/39.08 % (3363394)lrs-1011_1_anc=all_dependent:ncem=casc2026/models/loop7.pt:sil=32000:npcc=on:fde=unused:sp=weighted_frequency:sos=all:spb=goal_then_units:urr=ec_only:sac=on:random_seed=2599191926:st=1.2:i=5665:sd=2:ep=RSTC:gsp=on:ss=axioms_2617 on theBenchmark for (2617ds/5665Mi)
% 138.19/39.08 % (3363388)Refutation found. Thanks to Tanya!
% 138.19/39.08 % SZS status Theorem for theBenchmark
% 138.19/39.08 % SZS output start Proof for theBenchmark
% See solution above
% 272.29/39.28 % (3363388)------------------------------
% 272.29/39.28 % (3363388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 272.29/39.28 % (3363388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 272.29/39.28 % (3363388)CaDiCaL version: 2.1.3
% 272.29/39.28 % (3363388)Termination reason: Refutation
% 272.29/39.28 % (3363388)Time elapsed: 6.267 s
% 272.29/39.28 % (3363388)Peak memory usage: 225 MB
% 272.29/39.28 % (3363388)Instructions burned: 10489 (million)
% 272.29/39.28 % (3363388)------------------------------
% 272.29/39.28 % (3363388)------------------------------
% 272.29/39.28 % (3363242)Success in time 38.471 s
% 272.29/39.28 % Vampire exiting
%------------------------------------------------------------------------------