%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP636+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 10:15:10 AM UTC 2026
% Result : Theorem 15.81s 3.10s
% Output : Refutation 16.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 64
% Syntax : Number of formulae : 589 ( 65 unt; 38 def)
% Number of atoms : 2752 ( 223 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 3691 (1528 ~;1854 |; 204 &)
% ( 41 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 52 ( 50 usr; 33 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 9 con; 0-4 aty)
% Number of variables : 647 ( 0 sgn 614 !; 33 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [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(f2,negated_conjecture,
~ ! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(X1)
& v3_group_1(X1)
& v4_group_1(X1)
& l1_group_1(X1) )
=> ! [X2] :
( ( v1_funct_1(X2)
& v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X2,X0,X1)
& m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1)) )
=> ! [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)) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f9,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(f10,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0) )
=> ! [X1] :
( ( ~ v3_struct_0(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)) )
=> ( v1_group_6(X2,X0,X1)
<=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4)) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d7_group_6) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( ~ v3_struct_0(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0))
& m1_subset_1(X2,u1_struct_0(X0)) )
=> m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_group_1) ).
fof(f17,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(f19,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) )
=> m1_subset_1(k3_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_funct_2) ).
fof(f20,axiom,
! [X0,X1] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0)
& m1_subset_1(X1,u1_struct_0(X0)) )
=> m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_group_1) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( ( ~ v1_xboole_0(X0)
& v1_funct_1(X2)
& v1_funct_2(X2,X0,X1)
& m1_relset_1(X2,X0,X1)
& m1_subset_1(X3,X0) )
=> m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k8_funct_2) ).
fof(f22,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f24,axiom,
! [X0] :
( ( ~ 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(f36,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(f38,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f49,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(f50,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(f51,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(f53,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1_subset) ).
fof(f54,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( v1_xboole_0(X1)
| r2_hidden(X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
fof(f56,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(f57,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] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
& v1_group_6(X3,X0,X1)
& m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
=> k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,k3_group_1(X0,X2)) = k3_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t41_group_6) ).
fof(f58,axiom,
! [X0,X1,X2,X3] :
( ( v1_funct_1(X3)
& v1_funct_2(X3,X0,X1)
& m2_relset_1(X3,X0,X1) )
=> ( X1 != k1_xboole_0
=> ! [X4] :
( r2_hidden(X4,k10_relat_1(X3,X2))
<=> ( r2_hidden(X4,X0)
& r2_hidden(k1_funct_1(X3,X4),X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t46_funct_2) ).
fof(f59,axiom,
! [X0,X1,X2] :
( ( r2_hidden(X0,X1)
& m1_subset_1(X1,k1_zfmisc_1(X2)) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
fof(f60,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(f61,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_group_2(X3,X0)
=> ( ( r1_rlvect_1(X3,X1)
& r1_rlvect_1(X3,X2) )
=> r1_rlvect_1(X3,k1_group_1(X0,X1,X2)) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t59_group_2) ).
fof(f63,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,u1_struct_0(X0))
=> ! [X2] :
( m1_group_2(X2,X0)
=> ( r1_rlvect_1(X2,X1)
=> r1_rlvect_1(X2,k3_group_1(X0,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t60_group_2) ).
fof(f64,axiom,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( X1 != k1_xboole_0
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
=> r2_hidden(k1_group_1(X0,X2,X3),X1) ) ) )
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ( r2_hidden(X2,X1)
=> r2_hidden(k3_group_1(X0,X2),X1) ) )
& ! [X2] :
( ( v1_group_1(X2)
& m1_group_2(X2,X0) )
=> u1_struct_0(X2) != X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t61_group_2) ).
fof(f66,axiom,
! [X0,X1] :
~ ( r2_hidden(X0,X1)
& v1_xboole_0(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_boole) ).
fof(f69,plain,
! [X0] :
( ( ~ v3_struct_0(X0)
& v3_group_1(X0)
& v4_group_1(X0)
& l1_group_1(X0) )
=> ! [X1] :
( m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
=> ~ ( X1 != k1_xboole_0
& ! [X2] :
( m1_subset_1(X2,u1_struct_0(X0))
=> ! [X3] :
( m1_subset_1(X3,u1_struct_0(X0))
=> ( ( r2_hidden(X2,X1)
& r2_hidden(X3,X1) )
=> r2_hidden(k1_group_1(X0,X2,X3),X1) ) ) )
& ! [X4] :
( m1_subset_1(X4,u1_struct_0(X0))
=> ( r2_hidden(X4,X1)
=> r2_hidden(k3_group_1(X0,X4),X1) ) )
& ! [X5] :
( ( v1_group_1(X5)
& m1_group_2(X5,X0) )
=> u1_struct_0(X5) != X1 ) ) ) ),
inference(rectify,[],[f64]) ).
fof(f74,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,[],[f2]) ).
fof(f75,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,[],[f74]) ).
fof(f85,plain,
! [X0] :
( ! [X1] :
( r1_rlvect_1(X0,X1)
<=> r2_hidden(X1,u1_struct_0(X0)) )
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f86,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_group_6(X2,X0,X1)
<=> ! [X3] :
( ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ 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)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f87,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( v1_group_6(X2,X0,X1)
<=> ! [X3] :
( ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) ) )
| ~ 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)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f86]) ).
fof(f90,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f14]) ).
fof(f91,plain,
! [X0,X1,X2] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(flattening,[],[f90]) ).
fof(f92,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f17]) ).
fof(f93,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f92]) ).
fof(f94,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k3_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X0))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f95,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k3_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X0))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f20]) ).
fof(f97,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(flattening,[],[f96]) ).
fof(f98,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f101,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,[],[f24]) ).
fof(f102,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,[],[f101]) ).
fof(f107,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f108,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(flattening,[],[f107]) ).
fof(f116,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,[],[f49]) ).
fof(f117,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,[],[f116]) ).
fof(f118,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,[],[f50]) ).
fof(f119,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,[],[f118]) ).
fof(f120,plain,
! [X0,X1] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f53]) ).
fof(f121,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f122,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(flattening,[],[f121]) ).
fof(f124,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,[],[f56]) ).
fof(f125,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,[],[f124]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,k3_group_1(X0,X2)) = k3_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,X2))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,k3_group_1(X0,X2)) = k3_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,X2))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1)) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f126]) ).
fof(f128,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k10_relat_1(X3,X2))
<=> ( r2_hidden(X4,X0)
& r2_hidden(k1_funct_1(X3,X4),X2) ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(ennf_transformation,[],[f58]) ).
fof(f129,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( r2_hidden(X4,k10_relat_1(X3,X2))
<=> ( r2_hidden(X4,X0)
& r2_hidden(k1_funct_1(X3,X4),X2) ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f128]) ).
fof(f130,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(ennf_transformation,[],[f59]) ).
fof(f131,plain,
! [X0,X1,X2] :
( m1_subset_1(X0,X2)
| ~ r2_hidden(X0,X1)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2)) ),
inference(flattening,[],[f130]) ).
fof(f132,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,[],[f60]) ).
fof(f133,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,[],[f132]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X0) )
| ~ m1_subset_1(X2,u1_struct_0(X0)) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f134]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,X0) )
| ~ m1_subset_1(X1,u1_struct_0(X0)) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f137]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( k1_xboole_0 = X1
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),X1)
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ? [X4] :
( ~ r2_hidden(k3_group_1(X0,X4),X1)
& r2_hidden(X4,X1)
& m1_subset_1(X4,u1_struct_0(X0)) )
| ? [X5] :
( u1_struct_0(X5) = X1
& v1_group_1(X5)
& m1_group_2(X5,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( k1_xboole_0 = X1
| ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),X1)
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ? [X4] :
( ~ r2_hidden(k3_group_1(X0,X4),X1)
& r2_hidden(X4,X1)
& m1_subset_1(X4,u1_struct_0(X0)) )
| ? [X5] :
( u1_struct_0(X5) = X1
& v1_group_1(X5)
& m1_group_2(X5,X0) )
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(flattening,[],[f139]) ).
fof(f142,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f66]) ).
fof(f144,definition,
! [X1,X0] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),X1)
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ sP0(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f145,definition,
! [X1,X0] :
( ? [X5] :
( u1_struct_0(X5) = X1
& v1_group_1(X5)
& m1_group_2(X5,X0) )
| ~ sP1(X1,X0) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( k1_xboole_0 = X1
| sP0(X1,X0)
| ? [X4] :
( ~ r2_hidden(k3_group_1(X0,X4),X1)
& r2_hidden(X4,X1)
& m1_subset_1(X4,u1_struct_0(X0)) )
| sP1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(definition_folding,[],[f140,f145,f144]) ).
fof(f147,plain,
( ! [X4] :
( ~ v1_group_1(X4)
| ~ m1_group_2(X4,sK2)
| u1_struct_0(X4) != k3_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(sK5)) )
& m1_group_2(sK5,sK3)
& v1_funct_1(sK4)
& v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& v1_group_6(sK4,sK2,sK3)
& m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3))
& ~ v3_struct_0(sK3)
& v3_group_1(sK3)
& v4_group_1(sK3)
& l1_group_1(sK3)
& ~ v3_struct_0(sK2)
& v3_group_1(sK2)
& v4_group_1(sK2)
& l1_group_1(sK2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4),skolemize(X3,sK5)],[f75]) ).
fof(f148,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,[],[f85]) ).
fof(f149,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_group_6(X2,X0,X1)
| ? [X3] :
( ? [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X3] :
( ! [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
| ~ m1_subset_1(X4,u1_struct_0(X0)) )
| ~ m1_subset_1(X3,u1_struct_0(X0)) )
| ~ v1_group_6(X2,X0,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)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(nnf_transformation,[],[f87]) ).
fof(f150,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_group_6(X2,X0,X1)
| ? [X3] :
( ? [X4] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X3,X4)) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X3),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X4))
& m1_subset_1(X4,u1_struct_0(X0)) )
& m1_subset_1(X3,u1_struct_0(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X5,X6)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6))
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ v1_group_6(X2,X0,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)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f149]) ).
fof(f151,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( v1_group_6(X2,X0,X1)
| ( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,sK6(X0,X1,X2),sK7(X0,X1,X2))) != k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK6(X0,X1,X2)),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,sK7(X0,X1,X2)))
& m1_subset_1(sK7(X0,X1,X2),u1_struct_0(X0))
& m1_subset_1(sK6(X0,X1,X2),u1_struct_0(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X5,X6)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6))
| ~ m1_subset_1(X6,u1_struct_0(X0)) )
| ~ m1_subset_1(X5,u1_struct_0(X0)) )
| ~ v1_group_6(X2,X0,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)
| ~ l1_group_1(X1) )
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6,sK7]),skolemize(X3,sK6(X0,X1,X2)),skolemize(X4,sK7(X0,X1,X2))],[f150]) ).
fof(f166,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,[],[f51]) ).
fof(f167,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ( r2_hidden(X4,k10_relat_1(X3,X2))
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(k1_funct_1(X3,X4),X2) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(k1_funct_1(X3,X4),X2) )
| ~ r2_hidden(X4,k10_relat_1(X3,X2)) ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(nnf_transformation,[],[f129]) ).
fof(f168,plain,
! [X0,X1,X2,X3] :
( ! [X4] :
( ( r2_hidden(X4,k10_relat_1(X3,X2))
| ~ r2_hidden(X4,X0)
| ~ r2_hidden(k1_funct_1(X3,X4),X2) )
& ( ( r2_hidden(X4,X0)
& r2_hidden(k1_funct_1(X3,X4),X2) )
| ~ r2_hidden(X4,k10_relat_1(X3,X2)) ) )
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(flattening,[],[f167]) ).
fof(f169,plain,
! [X1,X0] :
( ? [X5] :
( u1_struct_0(X5) = X1
& v1_group_1(X5)
& m1_group_2(X5,X0) )
| ~ sP1(X1,X0) ),
inference(nnf_transformation,[],[f145]) ).
fof(f170,plain,
! [X0,X1] :
( ? [X2] :
( u1_struct_0(X2) = X0
& v1_group_1(X2)
& m1_group_2(X2,X1) )
| ~ sP1(X0,X1) ),
inference(rectify,[],[f169]) ).
fof(f171,plain,
! [X0,X1] :
( ( u1_struct_0(sK22(X0,X1)) = X0
& v1_group_1(sK22(X0,X1))
& m1_group_2(sK22(X0,X1),X1) )
| ~ sP1(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK22]),skolemize(X2,sK22(X0,X1))],[f170]) ).
fof(f172,plain,
! [X1,X0] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X0,X2,X3),X1)
& r2_hidden(X2,X1)
& r2_hidden(X3,X1)
& m1_subset_1(X3,u1_struct_0(X0)) )
& m1_subset_1(X2,u1_struct_0(X0)) )
| ~ sP0(X1,X0) ),
inference(nnf_transformation,[],[f144]) ).
fof(f173,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ~ r2_hidden(k1_group_1(X1,X2,X3),X0)
& r2_hidden(X2,X0)
& r2_hidden(X3,X0)
& m1_subset_1(X3,u1_struct_0(X1)) )
& m1_subset_1(X2,u1_struct_0(X1)) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f172]) ).
fof(f174,plain,
! [X0,X1] :
( ( ~ r2_hidden(k1_group_1(X1,sK23(X0,X1),sK24(X0,X1)),X0)
& r2_hidden(sK23(X0,X1),X0)
& r2_hidden(sK24(X0,X1),X0)
& m1_subset_1(sK24(X0,X1),u1_struct_0(X1))
& m1_subset_1(sK23(X0,X1),u1_struct_0(X1)) )
| ~ sP0(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK23,sK24]),skolemize(X2,sK23(X0,X1)),skolemize(X3,sK24(X0,X1))],[f173]) ).
fof(f175,plain,
! [X0] :
( ! [X1] :
( k1_xboole_0 = X1
| sP0(X1,X0)
| ? [X2] :
( ~ r2_hidden(k3_group_1(X0,X2),X1)
& r2_hidden(X2,X1)
& m1_subset_1(X2,u1_struct_0(X0)) )
| sP1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(rectify,[],[f146]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( k1_xboole_0 = X1
| sP0(X1,X0)
| ( ~ r2_hidden(k3_group_1(X0,sK25(X0,X1)),X1)
& r2_hidden(sK25(X0,X1),X1)
& m1_subset_1(sK25(X0,X1),u1_struct_0(X0)) )
| sP1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) )
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK25]),skolemize(X2,sK25(X0,X1))],[f175]) ).
fof(f177,plain,
l1_group_1(sK2),
inference(cnf_transformation,[],[f147]) ).
fof(f178,plain,
v4_group_1(sK2),
inference(cnf_transformation,[],[f147]) ).
fof(f179,plain,
v3_group_1(sK2),
inference(cnf_transformation,[],[f147]) ).
fof(f180,plain,
~ v3_struct_0(sK2),
inference(cnf_transformation,[],[f147]) ).
fof(f181,plain,
l1_group_1(sK3),
inference(cnf_transformation,[],[f147]) ).
fof(f182,plain,
v4_group_1(sK3),
inference(cnf_transformation,[],[f147]) ).
fof(f183,plain,
v3_group_1(sK3),
inference(cnf_transformation,[],[f147]) ).
fof(f184,plain,
~ v3_struct_0(sK3),
inference(cnf_transformation,[],[f147]) ).
fof(f185,plain,
m2_relset_1(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f147]) ).
fof(f186,plain,
v1_group_6(sK4,sK2,sK3),
inference(cnf_transformation,[],[f147]) ).
fof(f187,plain,
v1_funct_2(sK4,u1_struct_0(sK2),u1_struct_0(sK3)),
inference(cnf_transformation,[],[f147]) ).
fof(f188,plain,
v1_funct_1(sK4),
inference(cnf_transformation,[],[f147]) ).
fof(f189,plain,
m1_group_2(sK5,sK3),
inference(cnf_transformation,[],[f147]) ).
fof(f190,plain,
! [X4] :
( ~ v1_group_1(X4)
| ~ m1_group_2(X4,sK2)
| u1_struct_0(X4) != k3_funct_2(u1_struct_0(sK2),u1_struct_0(sK3),sK4,u1_struct_0(sK5)) ),
inference(cnf_transformation,[],[f147]) ).
fof(f202,plain,
! [X0,X1] :
( r2_hidden(X1,u1_struct_0(X0))
| ~ r1_rlvect_1(X0,X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f203,plain,
! [X0,X1] :
( ~ r2_hidden(X1,u1_struct_0(X0))
| r1_rlvect_1(X0,X1)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f148]) ).
fof(f204,plain,
! [X2,X0,X1,X6,X5] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ m1_subset_1(X6,u1_struct_0(X0))
| ~ m1_subset_1(X5,u1_struct_0(X0))
| ~ v1_group_6(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k1_group_1(X0,X5,X6)) = k1_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X5),k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,X6))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f210,plain,
! [X2,X0,X1] :
( m1_subset_1(k1_group_1(X0,X1,X2),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| ~ m1_subset_1(X2,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f91]) ).
fof(f211,plain,
! [X0] :
( m1_subset_1(k2_group_1(X0),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f212,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k3_funct_2(X0,X1,X2,X3),k1_zfmisc_1(X0))
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f213,plain,
! [X0,X1] :
( m1_subset_1(k3_group_1(X0,X1),u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ m1_subset_1(X1,u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f214,plain,
! [X2,X3,X0,X1] :
( m1_subset_1(k8_funct_2(X0,X1,X2,X3),X1)
| v1_xboole_0(X0)
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,X0,X1)
| ~ m1_relset_1(X2,X0,X1)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f215,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f216,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,[],[f102]) ).
fof(f229,plain,
! [X0] :
( ~ v1_xboole_0(u1_struct_0(X0))
| v3_struct_0(X0)
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f231,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f38]) ).
fof(f250,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_1(X2)
| k3_funct_2(X0,X1,X2,X3) = k10_relat_1(X2,X3) ),
inference(cnf_transformation,[],[f117]) ).
fof(f251,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)
| k8_funct_2(X0,X1,X2,X3) = k1_funct_1(X2,X3)
| ~ m1_subset_1(X3,X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f252,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f255,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f120]) ).
fof(f256,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f258,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X2)
| ~ v1_funct_2(X2,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X2,X0,X1)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X2,k2_group_1(X0)) = k2_group_1(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,[],[f125]) ).
fof(f259,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,u1_struct_0(X0),u1_struct_0(X1))
| ~ v1_group_6(X3,X0,X1)
| k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,k3_group_1(X0,X2)) = k3_group_1(X1,k8_funct_2(u1_struct_0(X0),u1_struct_0(X1),X3,X2))
| ~ m1_subset_1(X2,u1_struct_0(X0))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f260,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k10_relat_1(X3,X2))
| r2_hidden(k1_funct_1(X3,X4),X2)
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f261,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(X4,k10_relat_1(X3,X2))
| r2_hidden(X4,X0)
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f262,plain,
! [X2,X3,X0,X1,X4] :
( ~ r2_hidden(k1_funct_1(X3,X4),X2)
| ~ r2_hidden(X4,X0)
| r2_hidden(X4,k10_relat_1(X3,X2))
| k1_xboole_0 = X1
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,X0,X1)
| ~ m2_relset_1(X3,X0,X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f263,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f131]) ).
fof(f264,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(cnf_transformation,[],[f133]) ).
fof(f265,plain,
! [X2,X3,X0,X1] :
( r1_rlvect_1(X3,k1_group_1(X0,X1,X2))
| ~ r1_rlvect_1(X3,X1)
| ~ r1_rlvect_1(X3,X2)
| ~ m1_group_2(X3,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f267,plain,
! [X2,X0,X1] :
( r1_rlvect_1(X2,k3_group_1(X0,X1))
| ~ r1_rlvect_1(X2,X1)
| ~ m1_group_2(X2,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f138]) ).
fof(f268,plain,
! [X0,X1] :
( m1_group_2(sK22(X0,X1),X1)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f269,plain,
! [X0,X1] :
( v1_group_1(sK22(X0,X1))
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f171]) ).
fof(f270,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| u1_struct_0(sK22(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f171]) ).
fof(f271,plain,
! [X0,X1] :
( m1_subset_1(sK23(X0,X1),u1_struct_0(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f272,plain,
! [X0,X1] :
( m1_subset_1(sK24(X0,X1),u1_struct_0(X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f273,plain,
! [X0,X1] :
( r2_hidden(sK24(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f274,plain,
! [X0,X1] :
( r2_hidden(sK23(X0,X1),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f275,plain,
! [X0,X1] :
( ~ r2_hidden(k1_group_1(X1,sK23(X0,X1),sK24(X0,X1)),X0)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f174]) ).
fof(f276,plain,
! [X0,X1] :
( m1_subset_1(sK25(X0,X1),u1_struct_0(X0))
| sP0(X1,X0)
| k1_xboole_0 = X1
| sP1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f277,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| sP0(X1,X0)
| r2_hidden(sK25(X0,X1),X1)
| sP1(X1,X0)
| k1_xboole_0 = X1
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f278,plain,
! [X0,X1] :
( ~ r2_hidden(k3_group_1(X0,sK25(X0,X1)),X1)
| sP0(X1,X0)
| k1_xboole_0 = X1
| sP1(X1,X0)
| ~ m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0)))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f176]) ).
fof(f280,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f142]) ).
fof(f282,definition,
sF26 = u1_struct_0(sK2),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f283,plain,
u1_struct_0(sK2) = sF26,
inference(reorient_equations,[],[f282]) ).
fof(f284,definition,
sF27 = u1_struct_0(sK3),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f285,plain,
u1_struct_0(sK3) = sF27,
inference(reorient_equations,[],[f284]) ).
fof(f286,definition,
sF28 = u1_struct_0(sK5),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f287,plain,
u1_struct_0(sK5) = sF28,
inference(reorient_equations,[],[f286]) ).
fof(f288,definition,
sF29 = k3_funct_2(sF26,sF27,sK4,sF28),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f289,plain,
k3_funct_2(sF26,sF27,sK4,sF28) = sF29,
inference(reorient_equations,[],[f288]) ).
fof(f290,plain,
! [X4] :
( u1_struct_0(X4) != sF29
| ~ m1_group_2(X4,sK2)
| ~ v1_group_1(X4) ),
inference(definition_folding,[],[f190,f289,f287,f285,f283]) ).
fof(f291,plain,
v1_funct_2(sK4,sF26,sF27),
inference(definition_folding,[],[f187,f285,f283]) ).
fof(f292,plain,
m2_relset_1(sK4,sF26,sF27),
inference(definition_folding,[],[f185,f285,f283]) ).
fof(f335,plain,
l1_struct_0(sK2),
inference(resolution,[],[f215,f177]) ).
fof(f336,plain,
l1_struct_0(sK3),
inference(resolution,[],[f215,f181]) ).
fof(f339,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK2,X0),sF26)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(X0,sF26) ),
inference(superposition,[],[f213,f283]) ).
fof(f340,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK2,X0),sF26)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f339,f180]) ).
fof(f343,definition,
( spl30_10
<=> l1_group_1(sK5) ),
introduced(definition,[new_symbols(definition,[spl30_10])],[avatar_definition]) ).
fof(f344,plain,
( l1_group_1(sK5)
| ~ spl30_10 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f345,plain,
( ~ l1_group_1(sK5)
| spl30_10 ),
inference(avatar_component_clause,[],[f343]) ).
fof(f362,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK2,X0),sF26)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f340,f179]) ).
fof(f364,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK2,X0),sF26)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f362,f178]) ).
fof(f366,plain,
! [X0] :
( m1_subset_1(k3_group_1(sK2,X0),sF26)
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f364,f177]) ).
fof(f368,plain,
m1_relset_1(sK4,sF26,sF27),
inference(resolution,[],[f252,f292]) ).
fof(f369,plain,
! [X0] :
( ~ v1_funct_1(sK4)
| k3_funct_2(sF26,sF27,sK4,X0) = k10_relat_1(sK4,X0) ),
inference(resolution,[],[f368,f250]) ).
fof(f370,plain,
! [X0] : k3_funct_2(sF26,sF27,sK4,X0) = k10_relat_1(sK4,X0),
inference(forward_subsumption_resolution,[],[f369,f188]) ).
fof(f372,plain,
sF29 = k10_relat_1(sK4,sF28),
inference(superposition,[],[f289,f370]) ).
fof(f373,plain,
( m1_subset_1(sF29,k1_zfmisc_1(sF26))
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,sF26,sF27) ),
inference(superposition,[],[f212,f289]) ).
fof(f374,plain,
! [X0] :
( m1_subset_1(k10_relat_1(sK4,X0),k1_zfmisc_1(sF26))
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,sF26,sF27) ),
inference(superposition,[],[f212,f370]) ).
fof(f375,plain,
! [X0] :
( m1_subset_1(k10_relat_1(sK4,X0),k1_zfmisc_1(sF26))
| ~ m1_relset_1(sK4,sF26,sF27) ),
inference(forward_subsumption_resolution,[],[f374,f188]) ).
fof(f376,plain,
( m1_subset_1(sF29,k1_zfmisc_1(sF26))
| ~ m1_relset_1(sK4,sF26,sF27) ),
inference(forward_subsumption_resolution,[],[f373,f188]) ).
fof(f377,plain,
! [X0] : m1_subset_1(k10_relat_1(sK4,X0),k1_zfmisc_1(sF26)),
inference(forward_subsumption_resolution,[],[f375,f368]) ).
fof(f378,plain,
m1_subset_1(sF29,k1_zfmisc_1(sF26)),
inference(forward_subsumption_resolution,[],[f376,f368]) ).
fof(f380,plain,
! [X0] :
( r2_hidden(X0,sF28)
| ~ r1_rlvect_1(sK5,X0)
| ~ l1_struct_0(sK5) ),
inference(superposition,[],[f202,f287]) ).
fof(f386,definition,
( spl30_15
<=> l1_struct_0(sK5) ),
introduced(definition,[new_symbols(definition,[spl30_15])],[avatar_definition]) ).
fof(f387,plain,
( l1_struct_0(sK5)
| ~ spl30_15 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f388,plain,
( ~ l1_struct_0(sK5)
| spl30_15 ),
inference(avatar_component_clause,[],[f386]) ).
fof(f390,definition,
( spl30_16
<=> ! [X0] :
( r2_hidden(X0,sF28)
| ~ r1_rlvect_1(sK5,X0) ) ),
introduced(definition,[new_symbols(definition,[spl30_16])],[avatar_definition]) ).
fof(f391,plain,
( ! [X0] :
( ~ r1_rlvect_1(sK5,X0)
| r2_hidden(X0,sF28) )
| ~ spl30_16 ),
inference(avatar_component_clause,[],[f390]) ).
fof(f392,plain,
( ~ spl30_15
| spl30_16 ),
inference(avatar_split_clause,[],[f380,f390,f386]) ).
fof(f395,plain,
! [X0] :
( ~ r2_hidden(X0,sF28)
| r1_rlvect_1(sK5,X0)
| ~ l1_struct_0(sK5) ),
inference(superposition,[],[f203,f287]) ).
fof(f405,plain,
( ~ v1_xboole_0(sF27)
| v3_struct_0(sK3)
| ~ l1_struct_0(sK3) ),
inference(superposition,[],[f229,f285]) ).
fof(f406,plain,
( ~ v1_xboole_0(sF26)
| v3_struct_0(sK2)
| ~ l1_struct_0(sK2) ),
inference(superposition,[],[f229,f283]) ).
fof(f407,plain,
( ~ v1_xboole_0(sF26)
| ~ l1_struct_0(sK2) ),
inference(forward_subsumption_resolution,[],[f406,f180]) ).
fof(f408,plain,
( ~ v1_xboole_0(sF27)
| ~ l1_struct_0(sK3) ),
inference(forward_subsumption_resolution,[],[f405,f184]) ).
fof(f409,plain,
~ v1_xboole_0(sF26),
inference(forward_subsumption_resolution,[],[f407,f335]) ).
fof(f410,plain,
~ v1_xboole_0(sF27),
inference(forward_subsumption_resolution,[],[f408,f336]) ).
fof(f423,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,u1_struct_0(X1),sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF27)
| ~ v1_group_6(X0,X1,sK3)
| k2_group_1(sK3) = k8_funct_2(u1_struct_0(X1),sF27,X0,k2_group_1(X1))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(superposition,[],[f258,f285]) ).
fof(f426,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,u1_struct_0(X1),sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF27)
| ~ v1_group_6(X0,X1,sK3)
| k2_group_1(sK3) = k8_funct_2(u1_struct_0(X1),sF27,X0,k2_group_1(X1))
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f423,f184]) ).
fof(f430,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,u1_struct_0(X1),sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF27)
| ~ v1_group_6(X0,X1,sK3)
| k2_group_1(sK3) = k8_funct_2(u1_struct_0(X1),sF27,X0,k2_group_1(X1))
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f426,f183]) ).
fof(f434,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,u1_struct_0(X1),sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF27)
| ~ v1_group_6(X0,X1,sK3)
| k2_group_1(sK3) = k8_funct_2(u1_struct_0(X1),sF27,X0,k2_group_1(X1))
| ~ l1_group_1(sK3)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f430,f182]) ).
fof(f438,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,u1_struct_0(X1),sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,u1_struct_0(X1),sF27)
| ~ v1_group_6(X0,X1,sK3)
| k2_group_1(sK3) = k8_funct_2(u1_struct_0(X1),sF27,X0,k2_group_1(X1))
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f434,f181]) ).
fof(f454,plain,
! [X0] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k2_group_1(sK3) = k8_funct_2(sF26,sF27,X0,k2_group_1(sK2))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(superposition,[],[f438,f283]) ).
fof(f455,plain,
! [X0] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k2_group_1(sK3) = k8_funct_2(sF26,sF27,X0,k2_group_1(sK2))
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f454,f180]) ).
fof(f457,plain,
! [X0] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k2_group_1(sK3) = k8_funct_2(sF26,sF27,X0,k2_group_1(sK2))
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f455,f179]) ).
fof(f459,plain,
! [X0] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k2_group_1(sK3) = k8_funct_2(sF26,sF27,X0,k2_group_1(sK2))
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f457,f178]) ).
fof(f461,plain,
! [X0] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k2_group_1(sK3) = k8_funct_2(sF26,sF27,X0,k2_group_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f459,f177]) ).
fof(f463,plain,
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ v1_group_6(sK4,sK2,sK3)
| k2_group_1(sK3) = k8_funct_2(sF26,sF27,sK4,k2_group_1(sK2)) ),
inference(resolution,[],[f461,f292]) ).
fof(f464,plain,
( ~ v1_funct_2(sK4,sF26,sF27)
| ~ v1_group_6(sK4,sK2,sK3)
| k2_group_1(sK3) = k8_funct_2(sF26,sF27,sK4,k2_group_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f463,f188]) ).
fof(f465,plain,
( ~ v1_group_6(sK4,sK2,sK3)
| k2_group_1(sK3) = k8_funct_2(sF26,sF27,sK4,k2_group_1(sK2)) ),
inference(forward_subsumption_resolution,[],[f464,f291]) ).
fof(f466,plain,
k2_group_1(sK3) = k8_funct_2(sF26,sF27,sK4,k2_group_1(sK2)),
inference(forward_subsumption_resolution,[],[f465,f186]) ).
fof(f474,plain,
! [X0] :
( r2_hidden(k3_group_1(sK2,X0),sF26)
| v1_xboole_0(sF26)
| ~ m1_subset_1(X0,sF26) ),
inference(resolution,[],[f256,f366]) ).
fof(f479,plain,
! [X0] :
( r2_hidden(k3_group_1(sK2,X0),sF26)
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f474,f409]) ).
fof(f485,plain,
! [X0] :
( v1_xboole_0(sF26)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| k8_funct_2(sF26,sF27,sK4,X0) = k1_funct_1(sK4,X0)
| ~ m1_subset_1(X0,sF26) ),
inference(resolution,[],[f251,f368]) ).
fof(f486,plain,
! [X0] :
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| k8_funct_2(sF26,sF27,sK4,X0) = k1_funct_1(sK4,X0)
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f485,f409]) ).
fof(f487,plain,
! [X0] :
( ~ v1_funct_2(sK4,sF26,sF27)
| k8_funct_2(sF26,sF27,sK4,X0) = k1_funct_1(sK4,X0)
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f486,f188]) ).
fof(f488,plain,
! [X0] :
( ~ m1_subset_1(X0,sF26)
| k8_funct_2(sF26,sF27,sK4,X0) = k1_funct_1(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f487,f291]) ).
fof(f489,plain,
! [X0] :
( ~ m1_subset_1(X0,sF26)
| k8_funct_2(sF26,sF27,sK4,k3_group_1(sK2,X0)) = k1_funct_1(sK4,k3_group_1(sK2,X0)) ),
inference(resolution,[],[f488,f366]) ).
fof(f493,plain,
( m1_subset_1(k2_group_1(sK2),sF26)
| v3_struct_0(sK2)
| ~ l1_group_1(sK2) ),
inference(superposition,[],[f211,f283]) ).
fof(f494,plain,
( m1_subset_1(k2_group_1(sK2),sF26)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f493,f180]) ).
fof(f496,plain,
m1_subset_1(k2_group_1(sK2),sF26),
inference(forward_subsumption_resolution,[],[f494,f177]) ).
fof(f500,plain,
k8_funct_2(sF26,sF27,sK4,k2_group_1(sK2)) = k1_funct_1(sK4,k2_group_1(sK2)),
inference(resolution,[],[f496,f488]) ).
fof(f501,plain,
( r2_hidden(k2_group_1(sK2),sF26)
| v1_xboole_0(sF26) ),
inference(resolution,[],[f496,f256]) ).
fof(f502,plain,
r2_hidden(k2_group_1(sK2),sF26),
inference(forward_subsumption_resolution,[],[f501,f409]) ).
fof(f503,plain,
k2_group_1(sK3) = k1_funct_1(sK4,k2_group_1(sK2)),
inference(forward_demodulation,[],[f500,f466]) ).
fof(f506,plain,
! [X2,X0,X1] :
( ~ r2_hidden(X0,sF29)
| r2_hidden(X0,X1)
| k1_xboole_0 = X2
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,X1,X2)
| ~ m2_relset_1(sK4,X1,X2) ),
inference(superposition,[],[f261,f372]) ).
fof(f507,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(sK4,X1,X2)
| r2_hidden(X0,X1)
| k1_xboole_0 = X2
| ~ v1_funct_2(sK4,X1,X2)
| ~ r2_hidden(X0,sF29) ),
inference(forward_subsumption_resolution,[],[f506,f188]) ).
fof(f508,plain,
! [X0] :
( r2_hidden(X0,sF26)
| k1_xboole_0 = sF27
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ r2_hidden(X0,sF29) ),
inference(resolution,[],[f507,f292]) ).
fof(f509,plain,
! [X0] :
( r2_hidden(X0,sF26)
| k1_xboole_0 = sF27
| ~ r2_hidden(X0,sF29) ),
inference(forward_subsumption_resolution,[],[f508,f291]) ).
fof(f511,definition,
( spl30_17
<=> k1_xboole_0 = sF27 ),
introduced(definition,[new_symbols(definition,[spl30_17])],[avatar_definition]) ).
fof(f512,plain,
( k1_xboole_0 != sF27
| spl30_17 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f513,plain,
( k1_xboole_0 = sF27
| ~ spl30_17 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f515,definition,
( spl30_18
<=> ! [X0] :
( r2_hidden(X0,sF26)
| ~ r2_hidden(X0,sF29) ) ),
introduced(definition,[new_symbols(definition,[spl30_18])],[avatar_definition]) ).
fof(f516,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF29)
| r2_hidden(X0,sF26) )
| ~ spl30_18 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f517,plain,
( spl30_17
| spl30_18 ),
inference(avatar_split_clause,[],[f509,f515,f511]) ).
fof(f525,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl30_17 ),
inference(superposition,[],[f410,f513]) ).
fof(f534,plain,
( $false
| ~ spl30_17 ),
inference(forward_subsumption_resolution,[],[f525,f231]) ).
fof(f535,plain,
~ spl30_17,
inference(avatar_contradiction_clause,[],[f534]) ).
fof(f542,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,sF26,u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,u1_struct_0(X1))
| ~ v1_group_6(X0,sK2,X1)
| k8_funct_2(sF26,u1_struct_0(X1),X0,k3_group_1(sK2,X2)) = k3_group_1(X1,k8_funct_2(sF26,u1_struct_0(X1),X0,X2))
| ~ m1_subset_1(X2,sF26)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(superposition,[],[f259,f283]) ).
fof(f548,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,sF26,u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,u1_struct_0(X1))
| ~ v1_group_6(X0,sK2,X1)
| k8_funct_2(sF26,u1_struct_0(X1),X0,k3_group_1(sK2,X2)) = k3_group_1(X1,k8_funct_2(sF26,u1_struct_0(X1),X0,X2))
| ~ m1_subset_1(X2,sF26)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f542,f180]) ).
fof(f552,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,sF26,u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,u1_struct_0(X1))
| ~ v1_group_6(X0,sK2,X1)
| k8_funct_2(sF26,u1_struct_0(X1),X0,k3_group_1(sK2,X2)) = k3_group_1(X1,k8_funct_2(sF26,u1_struct_0(X1),X0,X2))
| ~ m1_subset_1(X2,sF26)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f548,f179]) ).
fof(f556,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,sF26,u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,u1_struct_0(X1))
| ~ v1_group_6(X0,sK2,X1)
| k8_funct_2(sF26,u1_struct_0(X1),X0,k3_group_1(sK2,X2)) = k3_group_1(X1,k8_funct_2(sF26,u1_struct_0(X1),X0,X2))
| ~ m1_subset_1(X2,sF26)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f552,f178]) ).
fof(f560,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,sF26,u1_struct_0(X1))
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,u1_struct_0(X1))
| ~ v1_group_6(X0,sK2,X1)
| k8_funct_2(sF26,u1_struct_0(X1),X0,k3_group_1(sK2,X2)) = k3_group_1(X1,k8_funct_2(sF26,u1_struct_0(X1),X0,X2))
| ~ m1_subset_1(X2,sF26)
| v3_struct_0(X1)
| ~ v3_group_1(X1)
| ~ v4_group_1(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f556,f177]) ).
fof(f562,plain,
( l1_group_1(sK5)
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(resolution,[],[f216,f189]) ).
fof(f563,plain,
( v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ l1_group_1(sK3)
| spl30_10 ),
inference(forward_subsumption_resolution,[],[f562,f345]) ).
fof(f564,plain,
( ~ v3_group_1(sK3)
| ~ l1_group_1(sK3)
| spl30_10 ),
inference(forward_subsumption_resolution,[],[f563,f184]) ).
fof(f565,plain,
( ~ l1_group_1(sK3)
| spl30_10 ),
inference(forward_subsumption_resolution,[],[f564,f183]) ).
fof(f566,plain,
( $false
| spl30_10 ),
inference(forward_subsumption_resolution,[],[f565,f181]) ).
fof(f567,plain,
spl30_10,
inference(avatar_contradiction_clause,[],[f566]) ).
fof(f574,plain,
( l1_struct_0(sK5)
| ~ spl30_10 ),
inference(resolution,[],[f344,f215]) ).
fof(f575,plain,
( $false
| ~ spl30_10
| spl30_15 ),
inference(forward_subsumption_resolution,[],[f574,f388]) ).
fof(f576,plain,
( ~ spl30_10
| spl30_15 ),
inference(avatar_contradiction_clause,[],[f575]) ).
fof(f577,plain,
( ! [X0] :
( ~ r2_hidden(X0,sF28)
| r1_rlvect_1(sK5,X0) )
| ~ spl30_15 ),
inference(forward_subsumption_resolution,[],[f395,f387]) ).
fof(f578,plain,
( ! [X0,X1] :
( r2_hidden(k3_group_1(X0,X1),sF28)
| ~ r1_rlvect_1(sK5,X1)
| ~ m1_group_2(sK5,X0)
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_16 ),
inference(resolution,[],[f391,f267]) ).
fof(f579,plain,
( ! [X0] :
( r2_hidden(k2_group_1(X0),sF28)
| ~ m1_group_2(sK5,X0)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_16 ),
inference(resolution,[],[f391,f264]) ).
fof(f580,plain,
( ! [X2,X0,X1] :
( r2_hidden(k1_group_1(X0,X1,X2),sF28)
| ~ r1_rlvect_1(sK5,X1)
| ~ r1_rlvect_1(sK5,X2)
| ~ m1_group_2(sK5,X0)
| ~ m1_subset_1(X2,u1_struct_0(X0))
| ~ m1_subset_1(X1,u1_struct_0(X0))
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0) )
| ~ spl30_16 ),
inference(resolution,[],[f391,f265]) ).
fof(f607,plain,
! [X0,X1] :
( m1_subset_1(k1_group_1(sK2,X0,X1),sF26)
| v3_struct_0(sK2)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(X0,sF26)
| ~ m1_subset_1(X1,sF26) ),
inference(superposition,[],[f210,f283]) ).
fof(f608,plain,
! [X0,X1] :
( m1_subset_1(k1_group_1(sK2,X0,X1),sF26)
| ~ l1_group_1(sK2)
| ~ m1_subset_1(X0,sF26)
| ~ m1_subset_1(X1,sF26) ),
inference(forward_subsumption_resolution,[],[f607,f180]) ).
fof(f610,plain,
! [X0,X1] :
( m1_subset_1(k1_group_1(sK2,X0,X1),sF26)
| ~ m1_subset_1(X0,sF26)
| ~ m1_subset_1(X1,sF26) ),
inference(forward_subsumption_resolution,[],[f608,f177]) ).
fof(f613,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k8_funct_2(sF26,sF27,X0,k3_group_1(sK2,X1)) = k3_group_1(sK3,k8_funct_2(sF26,sF27,X0,X1))
| ~ m1_subset_1(X1,sF26)
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(superposition,[],[f560,f285]) ).
fof(f616,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k8_funct_2(sF26,sF27,X0,k3_group_1(sK2,X1)) = k3_group_1(sK3,k8_funct_2(sF26,sF27,X0,X1))
| ~ m1_subset_1(X1,sF26)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f613,f184]) ).
fof(f618,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k8_funct_2(sF26,sF27,X0,k3_group_1(sK2,X1)) = k3_group_1(sK3,k8_funct_2(sF26,sF27,X0,X1))
| ~ m1_subset_1(X1,sF26)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f616,f183]) ).
fof(f620,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k8_funct_2(sF26,sF27,X0,k3_group_1(sK2,X1)) = k3_group_1(sK3,k8_funct_2(sF26,sF27,X0,X1))
| ~ m1_subset_1(X1,sF26)
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f618,f182]) ).
fof(f622,plain,
! [X0,X1] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| ~ v1_group_6(X0,sK2,sK3)
| k8_funct_2(sF26,sF27,X0,k3_group_1(sK2,X1)) = k3_group_1(sK3,k8_funct_2(sF26,sF27,X0,X1))
| ~ m1_subset_1(X1,sF26) ),
inference(forward_subsumption_resolution,[],[f620,f181]) ).
fof(f638,definition,
( spl30_22
<=> ! [X2,X1] :
( k1_xboole_0 = X1
| ~ m2_relset_1(sK4,X2,X1)
| ~ v1_funct_2(sK4,X2,X1) ) ),
introduced(definition,[new_symbols(definition,[spl30_22])],[avatar_definition]) ).
fof(f639,plain,
( ! [X2,X1] :
( ~ m2_relset_1(sK4,X2,X1)
| k1_xboole_0 = X1
| ~ v1_funct_2(sK4,X2,X1) )
| ~ spl30_22 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f644,plain,
( k1_xboole_0 = sF27
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ spl30_22 ),
inference(resolution,[],[f639,f292]) ).
fof(f645,plain,
( ~ v1_funct_2(sK4,sF26,sF27)
| spl30_17
| ~ spl30_22 ),
inference(forward_subsumption_resolution,[],[f644,f512]) ).
fof(f646,plain,
( $false
| spl30_17
| ~ spl30_22 ),
inference(forward_subsumption_resolution,[],[f645,f291]) ).
fof(f647,plain,
( spl30_17
| ~ spl30_22 ),
inference(avatar_contradiction_clause,[],[f646]) ).
fof(f651,definition,
( spl30_24
<=> r2_hidden(k2_group_1(sK2),sF29) ),
introduced(definition,[new_symbols(definition,[spl30_24])],[avatar_definition]) ).
fof(f652,plain,
( r2_hidden(k2_group_1(sK2),sF29)
| ~ spl30_24 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f653,plain,
( ~ r2_hidden(k2_group_1(sK2),sF29)
| spl30_24 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f655,definition,
( spl30_25
<=> r2_hidden(k2_group_1(sK3),sF28) ),
introduced(definition,[new_symbols(definition,[spl30_25])],[avatar_definition]) ).
fof(f656,plain,
( ~ r2_hidden(k2_group_1(sK3),sF28)
| spl30_25 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f666,plain,
! [X0] :
( ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ v1_group_6(sK4,sK2,sK3)
| k8_funct_2(sF26,sF27,sK4,k3_group_1(sK2,X0)) = k3_group_1(sK3,k8_funct_2(sF26,sF27,sK4,X0))
| ~ m1_subset_1(X0,sF26) ),
inference(resolution,[],[f622,f292]) ).
fof(f667,plain,
! [X0] :
( ~ v1_funct_2(sK4,sF26,sF27)
| ~ v1_group_6(sK4,sK2,sK3)
| k8_funct_2(sF26,sF27,sK4,k3_group_1(sK2,X0)) = k3_group_1(sK3,k8_funct_2(sF26,sF27,sK4,X0))
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f666,f188]) ).
fof(f668,plain,
! [X0] :
( ~ v1_group_6(sK4,sK2,sK3)
| k8_funct_2(sF26,sF27,sK4,k3_group_1(sK2,X0)) = k3_group_1(sK3,k8_funct_2(sF26,sF27,sK4,X0))
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f667,f291]) ).
fof(f669,plain,
! [X0] :
( ~ m1_subset_1(X0,sF26)
| k8_funct_2(sF26,sF27,sK4,k3_group_1(sK2,X0)) = k3_group_1(sK3,k8_funct_2(sF26,sF27,sK4,X0)) ),
inference(forward_subsumption_resolution,[],[f668,f186]) ).
fof(f677,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k2_group_1(sK3),X0)
| ~ r2_hidden(k2_group_1(sK2),X1)
| r2_hidden(k2_group_1(sK2),k10_relat_1(sK4,X0))
| k1_xboole_0 = X2
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,X1,X2)
| ~ m2_relset_1(sK4,X1,X2) ),
inference(superposition,[],[f262,f503]) ).
fof(f678,plain,
! [X2,X0,X1] :
( ~ r2_hidden(k2_group_1(sK3),X0)
| ~ r2_hidden(k2_group_1(sK2),X1)
| r2_hidden(k2_group_1(sK2),k10_relat_1(sK4,X0))
| k1_xboole_0 = X2
| ~ v1_funct_2(sK4,X1,X2)
| ~ m2_relset_1(sK4,X1,X2) ),
inference(forward_subsumption_resolution,[],[f677,f188]) ).
fof(f681,definition,
( spl30_26
<=> ! [X2,X1] :
( ~ r2_hidden(k2_group_1(sK2),X1)
| ~ m2_relset_1(sK4,X1,X2)
| ~ v1_funct_2(sK4,X1,X2)
| k1_xboole_0 = X2 ) ),
introduced(definition,[new_symbols(definition,[spl30_26])],[avatar_definition]) ).
fof(f682,plain,
( ! [X2,X1] :
( ~ r2_hidden(k2_group_1(sK2),X1)
| ~ m2_relset_1(sK4,X1,X2)
| ~ v1_funct_2(sK4,X1,X2)
| k1_xboole_0 = X2 )
| ~ spl30_26 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f684,definition,
( spl30_27
<=> ! [X0] :
( ~ r2_hidden(k2_group_1(sK3),X0)
| r2_hidden(k2_group_1(sK2),k10_relat_1(sK4,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl30_27])],[avatar_definition]) ).
fof(f685,plain,
( ! [X0] :
( r2_hidden(k2_group_1(sK2),k10_relat_1(sK4,X0))
| ~ r2_hidden(k2_group_1(sK3),X0) )
| ~ spl30_27 ),
inference(avatar_component_clause,[],[f684]) ).
fof(f686,plain,
( spl30_26
| spl30_27 ),
inference(avatar_split_clause,[],[f678,f684,f681]) ).
fof(f689,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,sF26,X0)
| ~ v1_funct_2(sK4,sF26,X0)
| k1_xboole_0 = X0 )
| ~ spl30_26 ),
inference(resolution,[],[f682,f502]) ).
fof(f718,plain,
! [X2,X3,X0,X1] :
( r2_hidden(sK25(X0,k3_funct_2(u1_struct_0(X0),X1,X2,X3)),k3_funct_2(u1_struct_0(X0),X1,X2,X3))
| sP0(k3_funct_2(u1_struct_0(X0),X1,X2,X3),X0)
| sP1(k3_funct_2(u1_struct_0(X0),X1,X2,X3),X0)
| k1_xboole_0 = k3_funct_2(u1_struct_0(X0),X1,X2,X3)
| v3_struct_0(X0)
| ~ v3_group_1(X0)
| ~ v4_group_1(X0)
| ~ l1_group_1(X0)
| ~ v1_funct_1(X2)
| ~ m1_relset_1(X2,u1_struct_0(X0),X1) ),
inference(resolution,[],[f277,f212]) ).
fof(f722,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| sP0(X0,sK2)
| r2_hidden(sK25(sK2,X0),X0)
| sP1(X0,sK2)
| k1_xboole_0 = X0
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(superposition,[],[f277,f283]) ).
fof(f723,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| sP0(X0,sK2)
| r2_hidden(sK25(sK2,X0),X0)
| sP1(X0,sK2)
| k1_xboole_0 = X0
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f722,f180]) ).
fof(f725,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| sP0(X0,sK2)
| r2_hidden(sK25(sK2,X0),X0)
| sP1(X0,sK2)
| k1_xboole_0 = X0
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f723,f179]) ).
fof(f727,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| sP0(X0,sK2)
| r2_hidden(sK25(sK2,X0),X0)
| sP1(X0,sK2)
| k1_xboole_0 = X0
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f725,f178]) ).
fof(f729,plain,
! [X0] :
( r2_hidden(sK25(sK2,X0),X0)
| sP0(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| sP1(X0,sK2)
| k1_xboole_0 = X0 ),
inference(forward_subsumption_resolution,[],[f727,f177]) ).
fof(f738,plain,
( sP0(sF29,sK2)
| ~ m1_subset_1(sF29,k1_zfmisc_1(sF26))
| sP1(sF29,sK2)
| k1_xboole_0 = sF29
| r2_hidden(sK25(sK2,sF29),sF26)
| ~ spl30_18 ),
inference(resolution,[],[f729,f516]) ).
fof(f739,plain,
( sP0(sF29,sK2)
| sP1(sF29,sK2)
| k1_xboole_0 = sF29
| r2_hidden(sK25(sK2,sF29),sF26)
| ~ spl30_18 ),
inference(forward_subsumption_resolution,[],[f738,f378]) ).
fof(f784,definition,
( spl30_42
<=> r2_hidden(sK25(sK2,sF29),sF26) ),
introduced(definition,[new_symbols(definition,[spl30_42])],[avatar_definition]) ).
fof(f786,plain,
( r2_hidden(sK25(sK2,sF29),sF26)
| ~ spl30_42 ),
inference(avatar_component_clause,[],[f784]) ).
fof(f788,definition,
( spl30_43
<=> k1_xboole_0 = sF29 ),
introduced(definition,[new_symbols(definition,[spl30_43])],[avatar_definition]) ).
fof(f789,plain,
( k1_xboole_0 != sF29
| spl30_43 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f790,plain,
( k1_xboole_0 = sF29
| ~ spl30_43 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f792,definition,
( spl30_44
<=> sP1(sF29,sK2) ),
introduced(definition,[new_symbols(definition,[spl30_44])],[avatar_definition]) ).
fof(f793,plain,
( ~ sP1(sF29,sK2)
| spl30_44 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f794,plain,
( sP1(sF29,sK2)
| ~ spl30_44 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f796,definition,
( spl30_45
<=> sP0(sF29,sK2) ),
introduced(definition,[new_symbols(definition,[spl30_45])],[avatar_definition]) ).
fof(f797,plain,
( ~ sP0(sF29,sK2)
| spl30_45 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f798,plain,
( sP0(sF29,sK2)
| ~ spl30_45 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f799,plain,
( spl30_42
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_18 ),
inference(avatar_split_clause,[],[f739,f515,f796,f792,f788,f784]) ).
fof(f900,plain,
! [X0] :
( m1_subset_1(sK24(X0,sK2),sF26)
| ~ sP0(X0,sK2) ),
inference(superposition,[],[f272,f283]) ).
fof(f902,plain,
! [X0] :
( ~ sP0(X0,sK2)
| k8_funct_2(sF26,sF27,sK4,sK24(X0,sK2)) = k1_funct_1(sK4,sK24(X0,sK2)) ),
inference(resolution,[],[f900,f488]) ).
fof(f906,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF26)
| ~ m1_subset_1(X0,sF26)
| k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,X0,X1)) = k1_funct_1(sK4,k1_group_1(sK2,X0,X1)) ),
inference(resolution,[],[f610,f488]) ).
fof(f907,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF26)
| ~ m1_subset_1(X1,sF26)
| r2_hidden(k1_group_1(sK2,X0,X1),sF26)
| v1_xboole_0(sF26) ),
inference(resolution,[],[f610,f256]) ).
fof(f908,plain,
! [X0,X1] :
( r2_hidden(k1_group_1(sK2,X0,X1),sF26)
| ~ m1_subset_1(X1,sF26)
| ~ m1_subset_1(X0,sF26) ),
inference(forward_subsumption_resolution,[],[f907,f409]) ).
fof(f914,plain,
! [X0] :
( m1_subset_1(sK23(X0,sK2),sF26)
| ~ sP0(X0,sK2) ),
inference(superposition,[],[f271,f283]) ).
fof(f916,plain,
! [X0] :
( ~ sP0(X0,sK2)
| k8_funct_2(sF26,sF27,sK4,sK23(X0,sK2)) = k1_funct_1(sK4,sK23(X0,sK2)) ),
inference(resolution,[],[f914,f488]) ).
fof(f919,plain,
( ~ v1_funct_2(sK4,sF26,sF27)
| k1_xboole_0 = sF27
| ~ spl30_26 ),
inference(resolution,[],[f689,f292]) ).
fof(f920,plain,
( k1_xboole_0 = sF27
| ~ spl30_26 ),
inference(forward_subsumption_resolution,[],[f919,f291]) ).
fof(f921,plain,
( $false
| spl30_17
| ~ spl30_26 ),
inference(forward_subsumption_resolution,[],[f920,f512]) ).
fof(f922,plain,
( spl30_17
| ~ spl30_26 ),
inference(avatar_contradiction_clause,[],[f921]) ).
fof(f926,plain,
( r2_hidden(k2_group_1(sK2),sF29)
| ~ r2_hidden(k2_group_1(sK3),sF28)
| ~ spl30_27 ),
inference(superposition,[],[f685,f372]) ).
fof(f927,plain,
( ~ r2_hidden(k2_group_1(sK3),sF28)
| spl30_24
| ~ spl30_27 ),
inference(forward_subsumption_resolution,[],[f926,f653]) ).
fof(f930,plain,
( ~ spl30_25
| spl30_24
| ~ spl30_27 ),
inference(avatar_split_clause,[],[f927,f684,f651,f655]) ).
fof(f940,plain,
( ~ m1_group_2(sK5,sK3)
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| spl30_25 ),
inference(resolution,[],[f656,f579]) ).
fof(f941,plain,
( v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| spl30_25 ),
inference(forward_subsumption_resolution,[],[f940,f189]) ).
fof(f942,plain,
( ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| spl30_25 ),
inference(forward_subsumption_resolution,[],[f941,f184]) ).
fof(f943,plain,
( ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| spl30_25 ),
inference(forward_subsumption_resolution,[],[f942,f183]) ).
fof(f944,plain,
( ~ l1_group_1(sK3)
| ~ spl30_16
| spl30_25 ),
inference(forward_subsumption_resolution,[],[f943,f182]) ).
fof(f945,plain,
( $false
| ~ spl30_16
| spl30_25 ),
inference(forward_subsumption_resolution,[],[f944,f181]) ).
fof(f946,plain,
( ~ spl30_16
| spl30_25 ),
inference(avatar_contradiction_clause,[],[f945]) ).
fof(f978,plain,
! [X0] :
( m1_subset_1(sK25(sK2,X0),sF26)
| sP0(X0,sK2)
| k1_xboole_0 = X0
| sP1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(superposition,[],[f276,f283]) ).
fof(f979,plain,
! [X0] :
( m1_subset_1(sK25(sK2,X0),sF26)
| sP0(X0,sK2)
| k1_xboole_0 = X0
| sP1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f978,f180]) ).
fof(f981,plain,
! [X0] :
( m1_subset_1(sK25(sK2,X0),sF26)
| sP0(X0,sK2)
| k1_xboole_0 = X0
| sP1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f979,f179]) ).
fof(f983,plain,
! [X0] :
( m1_subset_1(sK25(sK2,X0),sF26)
| sP0(X0,sK2)
| k1_xboole_0 = X0
| sP1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f981,f178]) ).
fof(f985,plain,
! [X0] :
( m1_subset_1(sK25(sK2,X0),sF26)
| sP0(X0,sK2)
| k1_xboole_0 = X0
| sP1(X0,sK2)
| ~ m1_subset_1(X0,k1_zfmisc_1(sF26)) ),
inference(forward_subsumption_resolution,[],[f983,f177]) ).
fof(f988,plain,
! [X0] :
( ~ m1_subset_1(X0,k1_zfmisc_1(sF26))
| k1_xboole_0 = X0
| sP1(X0,sK2)
| sP0(X0,sK2)
| k8_funct_2(sF26,sF27,sK4,sK25(sK2,X0)) = k1_funct_1(sK4,sK25(sK2,X0)) ),
inference(resolution,[],[f985,f488]) ).
fof(f996,plain,
! [X0,X1] :
( ~ r2_hidden(X0,k10_relat_1(sK4,X1))
| m1_subset_1(X0,sF26) ),
inference(resolution,[],[f263,f377]) ).
fof(f1187,definition,
( spl30_77
<=> ! [X0] :
( ~ m2_relset_1(sK4,sF26,X0)
| ~ v1_funct_2(sK4,sF26,X0)
| k1_xboole_0 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl30_77])],[avatar_definition]) ).
fof(f1188,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,sF26,X0)
| ~ v1_funct_2(sK4,sF26,X0)
| k1_xboole_0 = X0 )
| ~ spl30_77 ),
inference(avatar_component_clause,[],[f1187]) ).
fof(f1201,plain,
( m1_subset_1(sK25(sK2,sF29),sF26)
| ~ spl30_42 ),
inference(resolution,[],[f255,f786]) ).
fof(f1314,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP0(k10_relat_1(X0,X1),X2)
| r2_hidden(k1_funct_1(X0,sK24(k10_relat_1(X0,X1),X2)),X1)
| k1_xboole_0 = X3
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X4,X3)
| ~ m2_relset_1(X0,X4,X3) ),
inference(resolution,[],[f273,f260]) ).
fof(f1328,plain,
! [X2,X3,X0,X1,X4] :
( ~ sP0(k10_relat_1(X0,X1),X2)
| r2_hidden(k1_funct_1(X0,sK23(k10_relat_1(X0,X1),X2)),X1)
| k1_xboole_0 = X3
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X4,X3)
| ~ m2_relset_1(X0,X4,X3) ),
inference(resolution,[],[f274,f260]) ).
fof(f1350,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,sF26,u1_struct_0(X1))
| ~ m1_subset_1(X2,sF26)
| ~ m1_subset_1(X3,sF26)
| ~ v1_group_6(X0,sK2,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,u1_struct_0(X1))
| k8_funct_2(sF26,u1_struct_0(X1),X0,k1_group_1(sK2,X3,X2)) = k1_group_1(X1,k8_funct_2(sF26,u1_struct_0(X1),X0,X3),k8_funct_2(sF26,u1_struct_0(X1),X0,X2))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| v3_struct_0(sK2)
| ~ l1_group_1(sK2) ),
inference(superposition,[],[f204,f283]) ).
fof(f1357,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,sF26,u1_struct_0(X1))
| ~ m1_subset_1(X2,sF26)
| ~ m1_subset_1(X3,sF26)
| ~ v1_group_6(X0,sK2,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,u1_struct_0(X1))
| k8_funct_2(sF26,u1_struct_0(X1),X0,k1_group_1(sK2,X3,X2)) = k1_group_1(X1,k8_funct_2(sF26,u1_struct_0(X1),X0,X3),k8_funct_2(sF26,u1_struct_0(X1),X0,X2))
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ l1_group_1(sK2) ),
inference(forward_subsumption_resolution,[],[f1350,f180]) ).
fof(f1363,plain,
! [X2,X3,X0,X1] :
( ~ m2_relset_1(X0,sF26,u1_struct_0(X1))
| ~ m1_subset_1(X2,sF26)
| ~ m1_subset_1(X3,sF26)
| ~ v1_group_6(X0,sK2,X1)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,u1_struct_0(X1))
| k8_funct_2(sF26,u1_struct_0(X1),X0,k1_group_1(sK2,X3,X2)) = k1_group_1(X1,k8_funct_2(sF26,u1_struct_0(X1),X0,X3),k8_funct_2(sF26,u1_struct_0(X1),X0,X2))
| v3_struct_0(X1)
| ~ l1_group_1(X1) ),
inference(forward_subsumption_resolution,[],[f1357,f177]) ).
fof(f1423,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ m1_subset_1(X1,sF26)
| ~ m1_subset_1(X2,sF26)
| ~ v1_group_6(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| k8_funct_2(sF26,sF27,X0,k1_group_1(sK2,X2,X1)) = k1_group_1(sK3,k8_funct_2(sF26,sF27,X0,X2),k8_funct_2(sF26,sF27,X0,X1))
| v3_struct_0(sK3)
| ~ l1_group_1(sK3) ),
inference(superposition,[],[f1363,f285]) ).
fof(f1426,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ m1_subset_1(X1,sF26)
| ~ m1_subset_1(X2,sF26)
| ~ v1_group_6(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| k8_funct_2(sF26,sF27,X0,k1_group_1(sK2,X2,X1)) = k1_group_1(sK3,k8_funct_2(sF26,sF27,X0,X2),k8_funct_2(sF26,sF27,X0,X1))
| ~ l1_group_1(sK3) ),
inference(forward_subsumption_resolution,[],[f1423,f184]) ).
fof(f1429,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X0,sF26,sF27)
| ~ m1_subset_1(X1,sF26)
| ~ m1_subset_1(X2,sF26)
| ~ v1_group_6(X0,sK2,sK3)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,sF26,sF27)
| k8_funct_2(sF26,sF27,X0,k1_group_1(sK2,X2,X1)) = k1_group_1(sK3,k8_funct_2(sF26,sF27,X0,X2),k8_funct_2(sF26,sF27,X0,X1)) ),
inference(forward_subsumption_resolution,[],[f1426,f181]) ).
fof(f1446,plain,
( ~ v1_funct_2(sK4,sF26,sF27)
| k1_xboole_0 = sF27
| ~ spl30_77 ),
inference(resolution,[],[f1188,f292]) ).
fof(f1447,plain,
( k1_xboole_0 = sF27
| ~ spl30_77 ),
inference(forward_subsumption_resolution,[],[f1446,f291]) ).
fof(f1448,plain,
( $false
| spl30_17
| ~ spl30_77 ),
inference(forward_subsumption_resolution,[],[f1447,f512]) ).
fof(f1449,plain,
( spl30_17
| ~ spl30_77 ),
inference(avatar_contradiction_clause,[],[f1448]) ).
fof(f1520,plain,
( r2_hidden(k2_group_1(sK2),k1_xboole_0)
| ~ spl30_24
| ~ spl30_43 ),
inference(superposition,[],[f652,f790]) ).
fof(f1532,plain,
( ~ v1_xboole_0(k1_xboole_0)
| ~ spl30_24
| ~ spl30_43 ),
inference(resolution,[],[f1520,f280]) ).
fof(f1533,plain,
( $false
| ~ spl30_24
| ~ spl30_43 ),
inference(forward_subsumption_resolution,[],[f1532,f231]) ).
fof(f1534,plain,
( ~ spl30_24
| ~ spl30_43 ),
inference(avatar_contradiction_clause,[],[f1533]) ).
fof(f1535,plain,
( sF29 = u1_struct_0(sK22(sF29,sK2))
| ~ spl30_44 ),
inference(resolution,[],[f794,f270]) ).
fof(f1554,plain,
( sF29 != sF29
| ~ m1_group_2(sK22(sF29,sK2),sK2)
| ~ v1_group_1(sK22(sF29,sK2))
| ~ spl30_44 ),
inference(superposition,[],[f290,f1535]) ).
fof(f1569,plain,
( ~ m1_group_2(sK22(sF29,sK2),sK2)
| ~ v1_group_1(sK22(sF29,sK2))
| ~ spl30_44 ),
inference(trivial_inequality_removal,[],[f1554]) ).
fof(f1649,definition,
( spl30_105
<=> v1_group_1(sK22(sF29,sK2)) ),
introduced(definition,[new_symbols(definition,[spl30_105])],[avatar_definition]) ).
fof(f1651,plain,
( ~ v1_group_1(sK22(sF29,sK2))
| spl30_105 ),
inference(avatar_component_clause,[],[f1649]) ).
fof(f1653,definition,
( spl30_106
<=> m1_group_2(sK22(sF29,sK2),sK2) ),
introduced(definition,[new_symbols(definition,[spl30_106])],[avatar_definition]) ).
fof(f1655,plain,
( ~ m1_group_2(sK22(sF29,sK2),sK2)
| spl30_106 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1656,plain,
( ~ spl30_105
| ~ spl30_106
| ~ spl30_44 ),
inference(avatar_split_clause,[],[f1569,f792,f1653,f1649]) ).
fof(f1731,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF26)
| ~ m1_subset_1(X1,sF26)
| ~ v1_group_6(sK4,sK2,sK3)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,X1,X0)) = k1_group_1(sK3,k8_funct_2(sF26,sF27,sK4,X1),k8_funct_2(sF26,sF27,sK4,X0)) ),
inference(resolution,[],[f1429,f292]) ).
fof(f1732,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF26)
| ~ m1_subset_1(X1,sF26)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,X1,X0)) = k1_group_1(sK3,k8_funct_2(sF26,sF27,sK4,X1),k8_funct_2(sF26,sF27,sK4,X0)) ),
inference(forward_subsumption_resolution,[],[f1731,f186]) ).
fof(f1733,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,sF26)
| ~ m1_subset_1(X1,sF26)
| ~ v1_funct_2(sK4,sF26,sF27)
| k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,X1,X0)) = k1_group_1(sK3,k8_funct_2(sF26,sF27,sK4,X1),k8_funct_2(sF26,sF27,sK4,X0)) ),
inference(forward_subsumption_resolution,[],[f1732,f188]) ).
fof(f1734,plain,
! [X0,X1] :
( ~ m1_subset_1(X1,sF26)
| ~ m1_subset_1(X0,sF26)
| k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,X1,X0)) = k1_group_1(sK3,k8_funct_2(sF26,sF27,sK4,X1),k8_funct_2(sF26,sF27,sK4,X0)) ),
inference(forward_subsumption_resolution,[],[f1733,f291]) ).
fof(f1799,plain,
( ~ sP1(sF29,sK2)
| spl30_106 ),
inference(resolution,[],[f268,f1655]) ).
fof(f1803,plain,
( $false
| ~ spl30_44
| spl30_106 ),
inference(forward_subsumption_resolution,[],[f1799,f794]) ).
fof(f1804,plain,
( ~ spl30_44
| spl30_106 ),
inference(avatar_contradiction_clause,[],[f1803]) ).
fof(f1808,plain,
! [X2,X0,X1] :
( ~ sP0(sF29,X0)
| r2_hidden(k1_funct_1(sK4,sK24(sF29,X0)),sF28)
| k1_xboole_0 = X1
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,X2,X1)
| ~ m2_relset_1(sK4,X2,X1) ),
inference(superposition,[],[f1314,f372]) ).
fof(f1809,plain,
! [X2,X0,X1] :
( ~ sP0(sF29,X0)
| r2_hidden(k1_funct_1(sK4,sK24(sF29,X0)),sF28)
| k1_xboole_0 = X1
| ~ v1_funct_2(sK4,X2,X1)
| ~ m2_relset_1(sK4,X2,X1) ),
inference(forward_subsumption_resolution,[],[f1808,f188]) ).
fof(f1811,definition,
( spl30_125
<=> ! [X0] :
( ~ sP0(sF29,X0)
| r2_hidden(k1_funct_1(sK4,sK24(sF29,X0)),sF28) ) ),
introduced(definition,[new_symbols(definition,[spl30_125])],[avatar_definition]) ).
fof(f1812,plain,
( ! [X0] :
( r2_hidden(k1_funct_1(sK4,sK24(sF29,X0)),sF28)
| ~ sP0(sF29,X0) )
| ~ spl30_125 ),
inference(avatar_component_clause,[],[f1811]) ).
fof(f1813,plain,
( spl30_22
| spl30_125 ),
inference(avatar_split_clause,[],[f1809,f1811,f638]) ).
fof(f1815,plain,
( ! [X0] :
( r1_rlvect_1(sK5,k1_funct_1(sK4,sK24(sF29,X0)))
| ~ sP0(sF29,X0) )
| ~ spl30_15
| ~ spl30_125 ),
inference(resolution,[],[f1812,f577]) ).
fof(f2070,plain,
! [X2,X0,X1] :
( ~ sP0(sF29,X0)
| r2_hidden(k1_funct_1(sK4,sK23(sF29,X0)),sF28)
| k1_xboole_0 = X1
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,X2,X1)
| ~ m2_relset_1(sK4,X2,X1) ),
inference(superposition,[],[f1328,f372]) ).
fof(f2071,plain,
! [X2,X0,X1] :
( ~ sP0(sF29,X0)
| r2_hidden(k1_funct_1(sK4,sK23(sF29,X0)),sF28)
| k1_xboole_0 = X1
| ~ v1_funct_2(sK4,X2,X1)
| ~ m2_relset_1(sK4,X2,X1) ),
inference(forward_subsumption_resolution,[],[f2070,f188]) ).
fof(f2073,definition,
( spl30_165
<=> ! [X0] :
( ~ sP0(sF29,X0)
| r2_hidden(k1_funct_1(sK4,sK23(sF29,X0)),sF28) ) ),
introduced(definition,[new_symbols(definition,[spl30_165])],[avatar_definition]) ).
fof(f2074,plain,
( ! [X0] :
( r2_hidden(k1_funct_1(sK4,sK23(sF29,X0)),sF28)
| ~ sP0(sF29,X0) )
| ~ spl30_165 ),
inference(avatar_component_clause,[],[f2073]) ).
fof(f2075,plain,
( spl30_22
| spl30_165 ),
inference(avatar_split_clause,[],[f2071,f2073,f638]) ).
fof(f2077,plain,
( ! [X0] :
( r1_rlvect_1(sK5,k1_funct_1(sK4,sK23(sF29,X0)))
| ~ sP0(sF29,X0) )
| ~ spl30_15
| ~ spl30_165 ),
inference(resolution,[],[f2074,f577]) ).
fof(f2164,plain,
( k1_xboole_0 = sF29
| sP1(sF29,sK2)
| sP0(sF29,sK2)
| k8_funct_2(sF26,sF27,sK4,sK25(sK2,sF29)) = k1_funct_1(sK4,sK25(sK2,sF29)) ),
inference(resolution,[],[f988,f378]) ).
fof(f2487,plain,
( k8_funct_2(sF26,sF27,sK4,sK24(sF29,sK2)) = k1_funct_1(sK4,sK24(sF29,sK2))
| ~ spl30_45 ),
inference(resolution,[],[f902,f798]) ).
fof(f2490,plain,
( m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),sF27)
| v1_xboole_0(sF26)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK24(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(superposition,[],[f214,f2487]) ).
fof(f2491,plain,
( m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),sF27)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK24(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(forward_subsumption_resolution,[],[f2490,f409]) ).
fof(f2493,plain,
( m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),sF27)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK24(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(forward_subsumption_resolution,[],[f2491,f188]) ).
fof(f2495,plain,
( m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK24(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(forward_subsumption_resolution,[],[f2493,f291]) ).
fof(f2497,plain,
( m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),sF27)
| ~ m1_subset_1(sK24(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(forward_subsumption_resolution,[],[f2495,f368]) ).
fof(f2500,definition,
( spl30_223
<=> m1_subset_1(sK24(sF29,sK2),sF26) ),
introduced(definition,[new_symbols(definition,[spl30_223])],[avatar_definition]) ).
fof(f2501,plain,
( m1_subset_1(sK24(sF29,sK2),sF26)
| ~ spl30_223 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f2502,plain,
( ~ m1_subset_1(sK24(sF29,sK2),sF26)
| spl30_223 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f2504,definition,
( spl30_224
<=> m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),sF27) ),
introduced(definition,[new_symbols(definition,[spl30_224])],[avatar_definition]) ).
fof(f2506,plain,
( m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),sF27)
| ~ spl30_224 ),
inference(avatar_component_clause,[],[f2504]) ).
fof(f2507,plain,
( ~ spl30_223
| spl30_224
| ~ spl30_45 ),
inference(avatar_split_clause,[],[f2497,f796,f2504,f2500]) ).
fof(f2514,plain,
( ~ sP0(sF29,sK2)
| spl30_223 ),
inference(resolution,[],[f2502,f900]) ).
fof(f2515,plain,
( $false
| ~ spl30_45
| spl30_223 ),
inference(forward_subsumption_resolution,[],[f2514,f798]) ).
fof(f2516,plain,
( ~ spl30_45
| spl30_223 ),
inference(avatar_contradiction_clause,[],[f2515]) ).
fof(f2517,plain,
( sP1(sF29,sK2)
| sP0(sF29,sK2)
| k8_funct_2(sF26,sF27,sK4,sK25(sK2,sF29)) = k1_funct_1(sK4,sK25(sK2,sF29))
| spl30_43 ),
inference(forward_subsumption_resolution,[],[f2164,f789]) ).
fof(f2557,plain,
( k8_funct_2(sF26,sF27,sK4,k3_group_1(sK2,sK25(sK2,sF29))) = k3_group_1(sK3,k8_funct_2(sF26,sF27,sK4,sK25(sK2,sF29)))
| ~ spl30_42 ),
inference(resolution,[],[f1201,f669]) ).
fof(f2558,plain,
( k8_funct_2(sF26,sF27,sK4,sK25(sK2,sF29)) = k1_funct_1(sK4,sK25(sK2,sF29))
| ~ spl30_42 ),
inference(resolution,[],[f1201,f488]) ).
fof(f2614,plain,
( k8_funct_2(sF26,sF27,sK4,k3_group_1(sK2,sK25(sK2,sF29))) = k1_funct_1(sK4,k3_group_1(sK2,sK25(sK2,sF29)))
| ~ spl30_42 ),
inference(resolution,[],[f489,f1201]) ).
fof(f2632,definition,
( spl30_229
<=> r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),sF29) ),
introduced(definition,[new_symbols(definition,[spl30_229])],[avatar_definition]) ).
fof(f2633,plain,
( r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),sF29)
| ~ spl30_229 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f2634,plain,
( ~ r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),sF29)
| spl30_229 ),
inference(avatar_component_clause,[],[f2632]) ).
fof(f2651,definition,
( spl30_233
<=> ! [X2,X1] :
( ~ r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),X1)
| ~ m2_relset_1(sK4,X1,X2)
| ~ v1_funct_2(sK4,X1,X2)
| k1_xboole_0 = X2 ) ),
introduced(definition,[new_symbols(definition,[spl30_233])],[avatar_definition]) ).
fof(f2652,plain,
( ! [X2,X1] :
( ~ r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),X1)
| ~ m2_relset_1(sK4,X1,X2)
| ~ v1_funct_2(sK4,X1,X2)
| k1_xboole_0 = X2 )
| ~ spl30_233 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f2654,definition,
( spl30_234
<=> ! [X0] :
( ~ r2_hidden(k3_group_1(sK3,k1_funct_1(sK4,sK25(sK2,sF29))),X0)
| r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,X0)) ) ),
introduced(definition,[new_symbols(definition,[spl30_234])],[avatar_definition]) ).
fof(f2655,plain,
( ! [X0] :
( ~ r2_hidden(k3_group_1(sK3,k1_funct_1(sK4,sK25(sK2,sF29))),X0)
| r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,X0)) )
| ~ spl30_234 ),
inference(avatar_component_clause,[],[f2654]) ).
fof(f2662,plain,
( k8_funct_2(sF26,sF27,sK4,k3_group_1(sK2,sK25(sK2,sF29))) = k3_group_1(sK3,k1_funct_1(sK4,sK25(sK2,sF29)))
| ~ spl30_42 ),
inference(forward_demodulation,[],[f2557,f2558]) ).
fof(f2670,plain,
( k3_group_1(sK3,k1_funct_1(sK4,sK25(sK2,sF29))) = k1_funct_1(sK4,k3_group_1(sK2,sK25(sK2,sF29)))
| ~ spl30_42 ),
inference(forward_demodulation,[],[f2662,f2614]) ).
fof(f2688,plain,
( ~ sP1(sF29,sK2)
| spl30_105 ),
inference(resolution,[],[f1651,f269]) ).
fof(f2689,plain,
( $false
| ~ spl30_44
| spl30_105 ),
inference(forward_subsumption_resolution,[],[f2688,f794]) ).
fof(f2690,plain,
( ~ spl30_44
| spl30_105 ),
inference(avatar_contradiction_clause,[],[f2689]) ).
fof(f2691,plain,
( k8_funct_2(sF26,sF27,sK4,sK24(sF29,sK2)) = k1_funct_1(sK4,sK24(sF29,sK2))
| ~ spl30_45 ),
inference(resolution,[],[f798,f902]) ).
fof(f2756,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k3_group_1(sK3,k1_funct_1(sK4,sK25(sK2,sF29))),X0)
| ~ r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),X1)
| r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,X0))
| k1_xboole_0 = X2
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,X1,X2)
| ~ m2_relset_1(sK4,X1,X2) )
| ~ spl30_42 ),
inference(superposition,[],[f262,f2670]) ).
fof(f2757,plain,
( ! [X2,X0,X1] :
( ~ r2_hidden(k3_group_1(sK3,k1_funct_1(sK4,sK25(sK2,sF29))),X0)
| ~ r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),X1)
| r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,X0))
| k1_xboole_0 = X2
| ~ v1_funct_2(sK4,X1,X2)
| ~ m2_relset_1(sK4,X1,X2) )
| ~ spl30_42 ),
inference(forward_subsumption_resolution,[],[f2756,f188]) ).
fof(f2762,plain,
( spl30_233
| spl30_234
| ~ spl30_42 ),
inference(avatar_split_clause,[],[f2757,f784,f2654,f2651]) ).
fof(f2764,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,sF26,X0)
| ~ v1_funct_2(sK4,sF26,X0)
| k1_xboole_0 = X0
| ~ m1_subset_1(sK25(sK2,sF29),sF26) )
| ~ spl30_233 ),
inference(resolution,[],[f2652,f479]) ).
fof(f2769,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,sF26,X0)
| ~ v1_funct_2(sK4,sF26,X0)
| k1_xboole_0 = X0 )
| ~ spl30_42
| ~ spl30_233 ),
inference(forward_subsumption_resolution,[],[f2764,f1201]) ).
fof(f2770,plain,
( spl30_77
| ~ spl30_42
| ~ spl30_233 ),
inference(avatar_split_clause,[],[f2769,f2651,f784,f1187]) ).
fof(f2780,definition,
( spl30_239
<=> m1_subset_1(sK25(sK2,sF29),sF26) ),
introduced(definition,[new_symbols(definition,[spl30_239])],[avatar_definition]) ).
fof(f2781,plain,
( m1_subset_1(sK25(sK2,sF29),sF26)
| ~ spl30_239 ),
inference(avatar_component_clause,[],[f2780]) ).
fof(f2782,plain,
( ~ m1_subset_1(sK25(sK2,sF29),sF26)
| spl30_239 ),
inference(avatar_component_clause,[],[f2780]) ).
fof(f3024,plain,
( k8_funct_2(sF26,sF27,sK4,sK23(sF29,sK2)) = k1_funct_1(sK4,sK23(sF29,sK2))
| ~ spl30_45 ),
inference(resolution,[],[f916,f798]) ).
fof(f3026,plain,
( m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),sF27)
| v1_xboole_0(sF26)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK23(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(superposition,[],[f214,f3024]) ).
fof(f3027,plain,
( m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),sF27)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK23(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(forward_subsumption_resolution,[],[f3026,f409]) ).
fof(f3029,plain,
( m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),sF27)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK23(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(forward_subsumption_resolution,[],[f3027,f188]) ).
fof(f3031,plain,
( m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK23(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(forward_subsumption_resolution,[],[f3029,f291]) ).
fof(f3033,plain,
( m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),sF27)
| ~ m1_subset_1(sK23(sF29,sK2),sF26)
| ~ spl30_45 ),
inference(forward_subsumption_resolution,[],[f3031,f368]) ).
fof(f3036,definition,
( spl30_251
<=> m1_subset_1(sK23(sF29,sK2),sF26) ),
introduced(definition,[new_symbols(definition,[spl30_251])],[avatar_definition]) ).
fof(f3037,plain,
( m1_subset_1(sK23(sF29,sK2),sF26)
| ~ spl30_251 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f3038,plain,
( ~ m1_subset_1(sK23(sF29,sK2),sF26)
| spl30_251 ),
inference(avatar_component_clause,[],[f3036]) ).
fof(f3040,definition,
( spl30_252
<=> m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),sF27) ),
introduced(definition,[new_symbols(definition,[spl30_252])],[avatar_definition]) ).
fof(f3042,plain,
( m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),sF27)
| ~ spl30_252 ),
inference(avatar_component_clause,[],[f3040]) ).
fof(f3043,plain,
( ~ spl30_251
| spl30_252
| ~ spl30_45 ),
inference(avatar_split_clause,[],[f3033,f796,f3040,f3036]) ).
fof(f3050,plain,
( ~ sP0(sF29,sK2)
| spl30_251 ),
inference(resolution,[],[f3038,f914]) ).
fof(f3051,plain,
( $false
| ~ spl30_45
| spl30_251 ),
inference(forward_subsumption_resolution,[],[f3050,f798]) ).
fof(f3052,plain,
( ~ spl30_45
| spl30_251 ),
inference(avatar_contradiction_clause,[],[f3051]) ).
fof(f3056,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF26)
| k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),X0)) = k1_group_1(sK3,k8_funct_2(sF26,sF27,sK4,sK23(sF29,sK2)),k8_funct_2(sF26,sF27,sK4,X0)) )
| ~ spl30_251 ),
inference(resolution,[],[f3037,f1734]) ).
fof(f3062,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF26)
| k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),X0)) = k1_group_1(sK3,k1_funct_1(sK4,sK23(sF29,sK2)),k8_funct_2(sF26,sF27,sK4,X0)) )
| ~ spl30_45
| ~ spl30_251 ),
inference(forward_demodulation,[],[f3056,f3024]) ).
fof(f3199,plain,
! [X2,X0,X1] :
( r2_hidden(sK25(sK2,k3_funct_2(sF26,X0,X1,X2)),k3_funct_2(sF26,X0,X1,X2))
| sP0(k3_funct_2(sF26,X0,X1,X2),sK2)
| sP1(k3_funct_2(sF26,X0,X1,X2),sK2)
| k1_xboole_0 = k3_funct_2(sF26,X0,X1,X2)
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,sF26,X0) ),
inference(superposition,[],[f718,f283]) ).
fof(f3205,plain,
! [X2,X0,X1] :
( r2_hidden(sK25(sK2,k3_funct_2(sF26,X0,X1,X2)),k3_funct_2(sF26,X0,X1,X2))
| sP0(k3_funct_2(sF26,X0,X1,X2),sK2)
| sP1(k3_funct_2(sF26,X0,X1,X2),sK2)
| k1_xboole_0 = k3_funct_2(sF26,X0,X1,X2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,sF26,X0) ),
inference(forward_subsumption_resolution,[],[f3199,f180]) ).
fof(f3207,plain,
! [X2,X0,X1] :
( r2_hidden(sK25(sK2,k3_funct_2(sF26,X0,X1,X2)),k3_funct_2(sF26,X0,X1,X2))
| sP0(k3_funct_2(sF26,X0,X1,X2),sK2)
| sP1(k3_funct_2(sF26,X0,X1,X2),sK2)
| k1_xboole_0 = k3_funct_2(sF26,X0,X1,X2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,sF26,X0) ),
inference(forward_subsumption_resolution,[],[f3205,f179]) ).
fof(f3209,plain,
! [X2,X0,X1] :
( r2_hidden(sK25(sK2,k3_funct_2(sF26,X0,X1,X2)),k3_funct_2(sF26,X0,X1,X2))
| sP0(k3_funct_2(sF26,X0,X1,X2),sK2)
| sP1(k3_funct_2(sF26,X0,X1,X2),sK2)
| k1_xboole_0 = k3_funct_2(sF26,X0,X1,X2)
| ~ l1_group_1(sK2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,sF26,X0) ),
inference(forward_subsumption_resolution,[],[f3207,f178]) ).
fof(f3211,plain,
! [X2,X0,X1] :
( r2_hidden(sK25(sK2,k3_funct_2(sF26,X0,X1,X2)),k3_funct_2(sF26,X0,X1,X2))
| sP0(k3_funct_2(sF26,X0,X1,X2),sK2)
| sP1(k3_funct_2(sF26,X0,X1,X2),sK2)
| k1_xboole_0 = k3_funct_2(sF26,X0,X1,X2)
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,sF26,X0) ),
inference(forward_subsumption_resolution,[],[f3209,f177]) ).
fof(f3216,plain,
! [X0] :
( r2_hidden(sK25(sK2,k10_relat_1(sK4,X0)),k10_relat_1(sK4,X0))
| sP0(k10_relat_1(sK4,X0),sK2)
| sP1(k10_relat_1(sK4,X0),sK2)
| k1_xboole_0 = k10_relat_1(sK4,X0)
| ~ v1_funct_1(sK4)
| ~ m1_relset_1(sK4,sF26,sF27) ),
inference(superposition,[],[f3211,f370]) ).
fof(f3218,plain,
! [X0] :
( r2_hidden(sK25(sK2,k10_relat_1(sK4,X0)),k10_relat_1(sK4,X0))
| sP0(k10_relat_1(sK4,X0),sK2)
| sP1(k10_relat_1(sK4,X0),sK2)
| k1_xboole_0 = k10_relat_1(sK4,X0)
| ~ m1_relset_1(sK4,sF26,sF27) ),
inference(forward_subsumption_resolution,[],[f3216,f188]) ).
fof(f3219,plain,
! [X0] :
( r2_hidden(sK25(sK2,k10_relat_1(sK4,X0)),k10_relat_1(sK4,X0))
| sP0(k10_relat_1(sK4,X0),sK2)
| sP1(k10_relat_1(sK4,X0),sK2)
| k1_xboole_0 = k10_relat_1(sK4,X0) ),
inference(forward_subsumption_resolution,[],[f3218,f368]) ).
fof(f3220,plain,
! [X0] :
( m1_subset_1(sK25(sK2,k10_relat_1(sK4,X0)),sF26)
| sP1(k10_relat_1(sK4,X0),sK2)
| k1_xboole_0 = k10_relat_1(sK4,X0)
| sP0(k10_relat_1(sK4,X0),sK2) ),
inference(resolution,[],[f3219,f996]) ).
fof(f3221,plain,
! [X2,X0,X1] :
( sP0(k10_relat_1(sK4,X0),sK2)
| sP1(k10_relat_1(sK4,X0),sK2)
| k1_xboole_0 = k10_relat_1(sK4,X0)
| r2_hidden(k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,X0))),X0)
| k1_xboole_0 = X1
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,X2,X1)
| ~ m2_relset_1(sK4,X2,X1) ),
inference(resolution,[],[f3219,f260]) ).
fof(f3227,plain,
! [X2,X0,X1] :
( sP0(k10_relat_1(sK4,X0),sK2)
| sP1(k10_relat_1(sK4,X0),sK2)
| k1_xboole_0 = k10_relat_1(sK4,X0)
| r2_hidden(k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,X0))),X0)
| k1_xboole_0 = X1
| ~ v1_funct_2(sK4,X2,X1)
| ~ m2_relset_1(sK4,X2,X1) ),
inference(forward_subsumption_resolution,[],[f3221,f188]) ).
fof(f3229,definition,
( spl30_264
<=> ! [X0] :
( sP0(k10_relat_1(sK4,X0),sK2)
| r2_hidden(k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,X0))),X0)
| k1_xboole_0 = k10_relat_1(sK4,X0)
| sP1(k10_relat_1(sK4,X0),sK2) ) ),
introduced(definition,[new_symbols(definition,[spl30_264])],[avatar_definition]) ).
fof(f3230,plain,
( ! [X0] :
( r2_hidden(k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,X0))),X0)
| sP0(k10_relat_1(sK4,X0),sK2)
| k1_xboole_0 = k10_relat_1(sK4,X0)
| sP1(k10_relat_1(sK4,X0),sK2) )
| ~ spl30_264 ),
inference(avatar_component_clause,[],[f3229]) ).
fof(f3231,plain,
( spl30_22
| spl30_264 ),
inference(avatar_split_clause,[],[f3227,f3229,f638]) ).
fof(f3242,plain,
( sP0(k10_relat_1(sK4,sF28),sK2)
| k1_xboole_0 = k10_relat_1(sK4,sF28)
| sP1(k10_relat_1(sK4,sF28),sK2)
| r1_rlvect_1(sK5,k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,sF28))))
| ~ spl30_15
| ~ spl30_264 ),
inference(resolution,[],[f3230,f577]) ).
fof(f3268,plain,
( sP0(sF29,sK2)
| k1_xboole_0 = k10_relat_1(sK4,sF28)
| sP1(k10_relat_1(sK4,sF28),sK2)
| r1_rlvect_1(sK5,k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,sF28))))
| ~ spl30_15
| ~ spl30_264 ),
inference(forward_demodulation,[],[f3242,f372]) ).
fof(f4018,plain,
( k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))) = k1_group_1(sK3,k1_funct_1(sK4,sK23(sF29,sK2)),k8_funct_2(sF26,sF27,sK4,sK24(sF29,sK2)))
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251 ),
inference(resolution,[],[f3062,f2501]) ).
fof(f4023,plain,
( k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))) = k1_group_1(sK3,k1_funct_1(sK4,sK23(sF29,sK2)),k1_funct_1(sK4,sK24(sF29,sK2)))
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251 ),
inference(forward_demodulation,[],[f4018,f2691]) ).
fof(f4933,plain,
( ! [X0] :
( ~ m1_subset_1(X0,sF26)
| k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,X0,sK24(sF29,sK2))) = k1_funct_1(sK4,k1_group_1(sK2,X0,sK24(sF29,sK2))) )
| ~ spl30_223 ),
inference(resolution,[],[f906,f2501]) ).
fof(f5141,plain,
( m1_subset_1(sK25(sK2,sF29),sF26)
| sP1(sF29,sK2)
| k1_xboole_0 = sF29
| sP0(sF29,sK2) ),
inference(superposition,[],[f3220,f372]) ).
fof(f5288,definition,
( spl30_416
<=> r1_rlvect_1(sK5,k1_funct_1(sK4,sK23(sF29,sK2))) ),
introduced(definition,[new_symbols(definition,[spl30_416])],[avatar_definition]) ).
fof(f5289,plain,
( r1_rlvect_1(sK5,k1_funct_1(sK4,sK23(sF29,sK2)))
| ~ spl30_416 ),
inference(avatar_component_clause,[],[f5288]) ).
fof(f5290,plain,
( ~ r1_rlvect_1(sK5,k1_funct_1(sK4,sK23(sF29,sK2)))
| spl30_416 ),
inference(avatar_component_clause,[],[f5288]) ).
fof(f5292,definition,
( spl30_417
<=> r1_rlvect_1(sK5,k1_funct_1(sK4,sK24(sF29,sK2))) ),
introduced(definition,[new_symbols(definition,[spl30_417])],[avatar_definition]) ).
fof(f5293,plain,
( r1_rlvect_1(sK5,k1_funct_1(sK4,sK24(sF29,sK2)))
| ~ spl30_417 ),
inference(avatar_component_clause,[],[f5292]) ).
fof(f5294,plain,
( ~ r1_rlvect_1(sK5,k1_funct_1(sK4,sK24(sF29,sK2)))
| spl30_417 ),
inference(avatar_component_clause,[],[f5292]) ).
fof(f5305,plain,
( ~ sP0(sF29,sK2)
| ~ spl30_15
| ~ spl30_165
| spl30_416 ),
inference(resolution,[],[f5290,f2077]) ).
fof(f5307,plain,
( $false
| ~ spl30_15
| ~ spl30_45
| ~ spl30_165
| spl30_416 ),
inference(forward_subsumption_resolution,[],[f5305,f798]) ).
fof(f5308,plain,
( ~ spl30_15
| ~ spl30_45
| ~ spl30_165
| spl30_416 ),
inference(avatar_contradiction_clause,[],[f5307]) ).
fof(f5369,plain,
( ~ sP0(sF29,sK2)
| ~ spl30_15
| ~ spl30_125
| spl30_417 ),
inference(resolution,[],[f5294,f1815]) ).
fof(f5371,plain,
( $false
| ~ spl30_15
| ~ spl30_45
| ~ spl30_125
| spl30_417 ),
inference(forward_subsumption_resolution,[],[f5369,f798]) ).
fof(f5372,plain,
( ~ spl30_15
| ~ spl30_45
| ~ spl30_125
| spl30_417 ),
inference(avatar_contradiction_clause,[],[f5371]) ).
fof(f5682,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ r1_rlvect_1(sK5,k1_funct_1(sK4,sK23(sF29,sK2)))
| ~ r1_rlvect_1(sK5,k1_funct_1(sK4,sK24(sF29,sK2)))
| ~ m1_group_2(sK5,sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),u1_struct_0(sK3))
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251 ),
inference(superposition,[],[f580,f4023]) ).
fof(f5685,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ r1_rlvect_1(sK5,k1_funct_1(sK4,sK24(sF29,sK2)))
| ~ m1_group_2(sK5,sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),u1_struct_0(sK3))
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251
| ~ spl30_416 ),
inference(forward_subsumption_resolution,[],[f5682,f5289]) ).
fof(f5691,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ m1_group_2(sK5,sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),u1_struct_0(sK3))
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_subsumption_resolution,[],[f5685,f5293]) ).
fof(f5697,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),u1_struct_0(sK3))
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_subsumption_resolution,[],[f5691,f189]) ).
fof(f5701,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),u1_struct_0(sK3))
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_subsumption_resolution,[],[f5697,f184]) ).
fof(f5704,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),u1_struct_0(sK3))
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_subsumption_resolution,[],[f5701,f183]) ).
fof(f5707,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),u1_struct_0(sK3))
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| ~ l1_group_1(sK3)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_subsumption_resolution,[],[f5704,f182]) ).
fof(f5710,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),u1_struct_0(sK3))
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_subsumption_resolution,[],[f5707,f181]) ).
fof(f5713,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK24(sF29,sK2)),sF27)
| r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_251
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_demodulation,[],[f5710,f285]) ).
fof(f5715,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),u1_struct_0(sK3))
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_224
| ~ spl30_251
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_subsumption_resolution,[],[f5713,f2506]) ).
fof(f5717,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK23(sF29,sK2)),sF27)
| r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_224
| ~ spl30_251
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_demodulation,[],[f5715,f285]) ).
fof(f5719,plain,
( r2_hidden(k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_224
| ~ spl30_251
| ~ spl30_252
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_subsumption_resolution,[],[f5717,f3042]) ).
fof(f10927,plain,
( k8_funct_2(sF26,sF27,sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))) = k1_funct_1(sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)))
| ~ spl30_223
| ~ spl30_251 ),
inference(resolution,[],[f4933,f3037]) ).
fof(f10944,plain,
( r2_hidden(k1_funct_1(sK4,k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2))),sF28)
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_224
| ~ spl30_251
| ~ spl30_252
| ~ spl30_416
| ~ spl30_417 ),
inference(superposition,[],[f5719,f10927]) ).
fof(f11005,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),X0)
| r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),k10_relat_1(sK4,sF28))
| k1_xboole_0 = X1
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,X0,X1)
| ~ m2_relset_1(sK4,X0,X1) )
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_224
| ~ spl30_251
| ~ spl30_252
| ~ spl30_416
| ~ spl30_417 ),
inference(resolution,[],[f10944,f262]) ).
fof(f11010,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),X0)
| r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),k10_relat_1(sK4,sF28))
| k1_xboole_0 = X1
| ~ v1_funct_2(sK4,X0,X1)
| ~ m2_relset_1(sK4,X0,X1) )
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_224
| ~ spl30_251
| ~ spl30_252
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_subsumption_resolution,[],[f11005,f188]) ).
fof(f11011,plain,
( ! [X0,X1] :
( r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),sF29)
| ~ r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),X0)
| k1_xboole_0 = X1
| ~ v1_funct_2(sK4,X0,X1)
| ~ m2_relset_1(sK4,X0,X1) )
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_224
| ~ spl30_251
| ~ spl30_252
| ~ spl30_416
| ~ spl30_417 ),
inference(forward_demodulation,[],[f11010,f372]) ).
fof(f11013,definition,
( spl30_792
<=> ! [X0,X1] :
( ~ r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),X0)
| ~ m2_relset_1(sK4,X0,X1)
| ~ v1_funct_2(sK4,X0,X1)
| k1_xboole_0 = X1 ) ),
introduced(definition,[new_symbols(definition,[spl30_792])],[avatar_definition]) ).
fof(f11014,plain,
( ! [X0,X1] :
( ~ r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),X0)
| ~ m2_relset_1(sK4,X0,X1)
| ~ v1_funct_2(sK4,X0,X1)
| k1_xboole_0 = X1 )
| ~ spl30_792 ),
inference(avatar_component_clause,[],[f11013]) ).
fof(f11016,definition,
( spl30_793
<=> r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),sF29) ),
introduced(definition,[new_symbols(definition,[spl30_793])],[avatar_definition]) ).
fof(f11018,plain,
( r2_hidden(k1_group_1(sK2,sK23(sF29,sK2),sK24(sF29,sK2)),sF29)
| ~ spl30_793 ),
inference(avatar_component_clause,[],[f11016]) ).
fof(f11019,plain,
( spl30_792
| spl30_793
| ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_224
| ~ spl30_251
| ~ spl30_252
| ~ spl30_416
| ~ spl30_417 ),
inference(avatar_split_clause,[],[f11011,f5292,f5288,f3040,f3036,f2504,f2500,f796,f390,f11016,f11013]) ).
fof(f11021,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,sF26,X0)
| ~ v1_funct_2(sK4,sF26,X0)
| k1_xboole_0 = X0
| ~ m1_subset_1(sK24(sF29,sK2),sF26)
| ~ m1_subset_1(sK23(sF29,sK2),sF26) )
| ~ spl30_792 ),
inference(resolution,[],[f11014,f908]) ).
fof(f11034,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,sF26,X0)
| ~ v1_funct_2(sK4,sF26,X0)
| k1_xboole_0 = X0
| ~ m1_subset_1(sK23(sF29,sK2),sF26) )
| ~ spl30_223
| ~ spl30_792 ),
inference(forward_subsumption_resolution,[],[f11021,f2501]) ).
fof(f11037,plain,
( ! [X0] :
( ~ m2_relset_1(sK4,sF26,X0)
| ~ v1_funct_2(sK4,sF26,X0)
| k1_xboole_0 = X0 )
| ~ spl30_223
| ~ spl30_251
| ~ spl30_792 ),
inference(forward_subsumption_resolution,[],[f11034,f3037]) ).
fof(f11039,plain,
( spl30_77
| ~ spl30_223
| ~ spl30_251
| ~ spl30_792 ),
inference(avatar_split_clause,[],[f11037,f11013,f3036,f2500,f1187]) ).
fof(f11047,plain,
( ~ sP0(sF29,sK2)
| ~ spl30_793 ),
inference(resolution,[],[f11018,f275]) ).
fof(f11053,plain,
( $false
| ~ spl30_45
| ~ spl30_793 ),
inference(forward_subsumption_resolution,[],[f11047,f798]) ).
fof(f11054,plain,
( ~ spl30_45
| ~ spl30_793 ),
inference(avatar_contradiction_clause,[],[f11053]) ).
fof(f11057,plain,
( sP0(sF29,sK2)
| k8_funct_2(sF26,sF27,sK4,sK25(sK2,sF29)) = k1_funct_1(sK4,sK25(sK2,sF29))
| spl30_43
| spl30_44 ),
inference(forward_subsumption_resolution,[],[f2517,f793]) ).
fof(f11077,plain,
( k1_xboole_0 = k10_relat_1(sK4,sF28)
| sP1(k10_relat_1(sK4,sF28),sK2)
| r1_rlvect_1(sK5,k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,sF28))))
| ~ spl30_15
| spl30_45
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f3268,f797]) ).
fof(f11085,plain,
( sP1(sF29,sK2)
| k1_xboole_0 = sF29
| sP0(sF29,sK2)
| spl30_239 ),
inference(forward_subsumption_resolution,[],[f5141,f2782]) ).
fof(f11118,plain,
( k8_funct_2(sF26,sF27,sK4,sK25(sK2,sF29)) = k1_funct_1(sK4,sK25(sK2,sF29))
| spl30_43
| spl30_44
| spl30_45 ),
inference(forward_subsumption_resolution,[],[f11057,f797]) ).
fof(f11126,plain,
( k1_xboole_0 = sF29
| sP1(k10_relat_1(sK4,sF28),sK2)
| r1_rlvect_1(sK5,k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,sF28))))
| ~ spl30_15
| spl30_45
| ~ spl30_264 ),
inference(forward_demodulation,[],[f11077,f372]) ).
fof(f11130,plain,
( k1_xboole_0 = sF29
| sP0(sF29,sK2)
| spl30_44
| spl30_239 ),
inference(forward_subsumption_resolution,[],[f11085,f793]) ).
fof(f11141,plain,
( sP1(k10_relat_1(sK4,sF28),sK2)
| r1_rlvect_1(sK5,k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,sF28))))
| ~ spl30_15
| spl30_43
| spl30_45
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11126,f789]) ).
fof(f11144,plain,
( sP0(sF29,sK2)
| spl30_43
| spl30_44
| spl30_239 ),
inference(forward_subsumption_resolution,[],[f11130,f789]) ).
fof(f11150,plain,
( sP1(sF29,sK2)
| r1_rlvect_1(sK5,k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,sF28))))
| ~ spl30_15
| spl30_43
| spl30_45
| ~ spl30_264 ),
inference(forward_demodulation,[],[f11141,f372]) ).
fof(f11154,plain,
( $false
| spl30_43
| spl30_44
| spl30_45
| spl30_239 ),
inference(forward_subsumption_resolution,[],[f11144,f797]) ).
fof(f11155,plain,
( spl30_43
| spl30_44
| spl30_45
| spl30_239 ),
inference(avatar_contradiction_clause,[],[f11154]) ).
fof(f11157,plain,
( r1_rlvect_1(sK5,k1_funct_1(sK4,sK25(sK2,k10_relat_1(sK4,sF28))))
| ~ spl30_15
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11150,f793]) ).
fof(f11158,plain,
( r1_rlvect_1(sK5,k1_funct_1(sK4,sK25(sK2,sF29)))
| ~ spl30_15
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_264 ),
inference(forward_demodulation,[],[f11157,f372]) ).
fof(f11184,plain,
( m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),sF27)
| v1_xboole_0(sF26)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK25(sK2,sF29),sF26)
| spl30_43
| spl30_44
| spl30_45 ),
inference(superposition,[],[f214,f11118]) ).
fof(f11185,plain,
( m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),sF27)
| ~ v1_funct_1(sK4)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK25(sK2,sF29),sF26)
| spl30_43
| spl30_44
| spl30_45 ),
inference(forward_subsumption_resolution,[],[f11184,f409]) ).
fof(f11187,plain,
( m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),sF27)
| ~ v1_funct_2(sK4,sF26,sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK25(sK2,sF29),sF26)
| spl30_43
| spl30_44
| spl30_45 ),
inference(forward_subsumption_resolution,[],[f11185,f188]) ).
fof(f11189,plain,
( m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),sF27)
| ~ m1_relset_1(sK4,sF26,sF27)
| ~ m1_subset_1(sK25(sK2,sF29),sF26)
| spl30_43
| spl30_44
| spl30_45 ),
inference(forward_subsumption_resolution,[],[f11187,f291]) ).
fof(f11191,plain,
( m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),sF27)
| ~ m1_subset_1(sK25(sK2,sF29),sF26)
| spl30_43
| spl30_44
| spl30_45 ),
inference(forward_subsumption_resolution,[],[f11189,f368]) ).
fof(f11193,plain,
( m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),sF27)
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_239 ),
inference(forward_subsumption_resolution,[],[f11191,f2781]) ).
fof(f11294,plain,
( r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,sF28))
| ~ r1_rlvect_1(sK5,k1_funct_1(sK4,sK25(sK2,sF29)))
| ~ m1_group_2(sK5,sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_16
| ~ spl30_234 ),
inference(resolution,[],[f2655,f578]) ).
fof(f11306,plain,
( r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,sF28))
| ~ m1_group_2(sK5,sK3)
| ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_234
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11294,f11158]) ).
fof(f11309,plain,
( r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,sF28))
| ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),u1_struct_0(sK3))
| v3_struct_0(sK3)
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_234
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11306,f189]) ).
fof(f11311,plain,
( r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,sF28))
| ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),u1_struct_0(sK3))
| ~ v3_group_1(sK3)
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_234
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11309,f184]) ).
fof(f11313,plain,
( r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,sF28))
| ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),u1_struct_0(sK3))
| ~ v4_group_1(sK3)
| ~ l1_group_1(sK3)
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_234
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11311,f183]) ).
fof(f11315,plain,
( r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,sF28))
| ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),u1_struct_0(sK3))
| ~ l1_group_1(sK3)
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_234
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11313,f182]) ).
fof(f11317,plain,
( r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),k10_relat_1(sK4,sF28))
| ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),u1_struct_0(sK3))
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_234
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11315,f181]) ).
fof(f11318,plain,
( r2_hidden(k3_group_1(sK2,sK25(sK2,sF29)),sF29)
| ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),u1_struct_0(sK3))
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_234
| ~ spl30_264 ),
inference(forward_demodulation,[],[f11317,f372]) ).
fof(f11319,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),u1_struct_0(sK3))
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| spl30_229
| ~ spl30_234
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11318,f2634]) ).
fof(f11320,plain,
( ~ m1_subset_1(k1_funct_1(sK4,sK25(sK2,sF29)),sF27)
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| spl30_229
| ~ spl30_234
| ~ spl30_264 ),
inference(forward_demodulation,[],[f11319,f285]) ).
fof(f11321,plain,
( $false
| ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| spl30_229
| ~ spl30_234
| ~ spl30_239
| ~ spl30_264 ),
inference(forward_subsumption_resolution,[],[f11320,f11193]) ).
fof(f11322,plain,
( ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| spl30_229
| ~ spl30_234
| ~ spl30_239
| ~ spl30_264 ),
inference(avatar_contradiction_clause,[],[f11321]) ).
fof(f11323,plain,
( sP0(sF29,sK2)
| k1_xboole_0 = sF29
| sP1(sF29,sK2)
| ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| ~ spl30_229 ),
inference(resolution,[],[f2633,f278]) ).
fof(f11329,plain,
( k1_xboole_0 = sF29
| sP1(sF29,sK2)
| ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl30_45
| ~ spl30_229 ),
inference(forward_subsumption_resolution,[],[f11323,f797]) ).
fof(f11330,plain,
( sP1(sF29,sK2)
| ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl30_43
| spl30_45
| ~ spl30_229 ),
inference(forward_subsumption_resolution,[],[f11329,f789]) ).
fof(f11331,plain,
( ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(sK2)))
| v3_struct_0(sK2)
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_229 ),
inference(forward_subsumption_resolution,[],[f11330,f793]) ).
fof(f11332,plain,
( ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v3_group_1(sK2)
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_229 ),
inference(forward_subsumption_resolution,[],[f11331,f180]) ).
fof(f11333,plain,
( ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ v4_group_1(sK2)
| ~ l1_group_1(sK2)
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_229 ),
inference(forward_subsumption_resolution,[],[f11332,f179]) ).
fof(f11334,plain,
( ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(sK2)))
| ~ l1_group_1(sK2)
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_229 ),
inference(forward_subsumption_resolution,[],[f11333,f178]) ).
fof(f11335,plain,
( ~ m1_subset_1(sF29,k1_zfmisc_1(u1_struct_0(sK2)))
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_229 ),
inference(forward_subsumption_resolution,[],[f11334,f177]) ).
fof(f11336,plain,
( ~ m1_subset_1(sF29,k1_zfmisc_1(sF26))
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_229 ),
inference(forward_demodulation,[],[f11335,f283]) ).
fof(f11337,plain,
( $false
| spl30_43
| spl30_44
| spl30_45
| ~ spl30_229 ),
inference(forward_subsumption_resolution,[],[f11336,f378]) ).
fof(f11338,plain,
( spl30_43
| spl30_44
| spl30_45
| ~ spl30_229 ),
inference(avatar_contradiction_clause,[],[f11337]) ).
cnf(s5,plain,
( ~ spl30_15
| spl30_16 ),
inference(sat_conversion,[],[f392]) ).
cnf(s7,plain,
( spl30_17
| spl30_18 ),
inference(sat_conversion,[],[f517]) ).
cnf(s8,plain,
~ spl30_17,
inference(sat_conversion,[],[f535]) ).
cnf(s9,plain,
spl30_10,
inference(sat_conversion,[],[f567]) ).
cnf(s11,plain,
( ~ spl30_10
| spl30_15 ),
inference(sat_conversion,[],[f576]) ).
cnf(s15,plain,
( spl30_17
| ~ spl30_22 ),
inference(sat_conversion,[],[f647]) ).
cnf(s17,plain,
( spl30_26
| spl30_27 ),
inference(sat_conversion,[],[f686]) ).
cnf(s23,plain,
( ~ spl30_18
| spl30_42
| spl30_43
| spl30_44
| spl30_45 ),
inference(sat_conversion,[],[f799]) ).
cnf(s29,plain,
( spl30_17
| ~ spl30_26 ),
inference(sat_conversion,[],[f922]) ).
cnf(s30,plain,
( spl30_24
| ~ spl30_25
| ~ spl30_27 ),
inference(sat_conversion,[],[f930]) ).
cnf(s32,plain,
( ~ spl30_16
| spl30_25 ),
inference(sat_conversion,[],[f946]) ).
cnf(s54,plain,
( spl30_17
| ~ spl30_77 ),
inference(sat_conversion,[],[f1449]) ).
cnf(s58,plain,
( ~ spl30_24
| ~ spl30_43 ),
inference(sat_conversion,[],[f1534]) ).
cnf(s72,plain,
( ~ spl30_44
| ~ spl30_105
| ~ spl30_106 ),
inference(sat_conversion,[],[f1656]) ).
cnf(s90,plain,
( ~ spl30_44
| spl30_106 ),
inference(sat_conversion,[],[f1804]) ).
cnf(s91,plain,
( spl30_22
| spl30_125 ),
inference(sat_conversion,[],[f1813]) ).
cnf(s128,plain,
( spl30_22
| spl30_165 ),
inference(sat_conversion,[],[f2075]) ).
cnf(s168,plain,
( ~ spl30_45
| ~ spl30_223
| spl30_224 ),
inference(sat_conversion,[],[f2507]) ).
cnf(s170,plain,
( ~ spl30_45
| spl30_223 ),
inference(sat_conversion,[],[f2516]) ).
cnf(s183,plain,
( ~ spl30_44
| spl30_105 ),
inference(sat_conversion,[],[f2690]) ).
cnf(s189,plain,
( ~ spl30_42
| spl30_233
| spl30_234 ),
inference(sat_conversion,[],[f2762]) ).
cnf(s191,plain,
( ~ spl30_42
| spl30_77
| ~ spl30_233 ),
inference(sat_conversion,[],[f2770]) ).
cnf(s208,plain,
( ~ spl30_45
| ~ spl30_251
| spl30_252 ),
inference(sat_conversion,[],[f3043]) ).
cnf(s210,plain,
( ~ spl30_45
| spl30_251 ),
inference(sat_conversion,[],[f3052]) ).
cnf(s220,plain,
( spl30_22
| spl30_264 ),
inference(sat_conversion,[],[f3231]) ).
cnf(s346,plain,
( ~ spl30_15
| ~ spl30_45
| ~ spl30_165
| spl30_416 ),
inference(sat_conversion,[],[f5308]) ).
cnf(s352,plain,
( ~ spl30_15
| ~ spl30_45
| ~ spl30_125
| spl30_417 ),
inference(sat_conversion,[],[f5372]) ).
cnf(s742,plain,
( ~ spl30_16
| ~ spl30_45
| ~ spl30_223
| ~ spl30_224
| ~ spl30_251
| ~ spl30_252
| ~ spl30_416
| ~ spl30_417
| spl30_792
| spl30_793 ),
inference(sat_conversion,[],[f11019]) ).
cnf(s745,plain,
( spl30_77
| ~ spl30_223
| ~ spl30_251
| ~ spl30_792 ),
inference(sat_conversion,[],[f11039]) ).
cnf(s747,plain,
( ~ spl30_45
| ~ spl30_793 ),
inference(sat_conversion,[],[f11054]) ).
cnf(s758,plain,
( spl30_43
| spl30_44
| spl30_45
| spl30_239 ),
inference(sat_conversion,[],[f11155]) ).
cnf(s766,plain,
( ~ spl30_15
| ~ spl30_16
| spl30_43
| spl30_44
| spl30_45
| spl30_229
| ~ spl30_234
| ~ spl30_239
| ~ spl30_264 ),
inference(sat_conversion,[],[f11322]) ).
cnf(s767,plain,
( spl30_43
| spl30_44
| spl30_45
| ~ spl30_229 ),
inference(sat_conversion,[],[f11338]) ).
cnf(s812,plain,
spl30_15,
inference(rat,[],[s11,s9]) ).
cnf(s817,plain,
~ spl30_77,
inference(rat,[],[s54,s8]) ).
cnf(s818,plain,
~ spl30_26,
inference(rat,[],[s29,s8]) ).
cnf(s819,plain,
~ spl30_22,
inference(rat,[],[s15,s8]) ).
cnf(s825,plain,
spl30_27,
inference(rat,[],[s17,s818]) ).
cnf(s827,plain,
spl30_264,
inference(rat,[],[s220,s819]) ).
cnf(s828,plain,
spl30_165,
inference(rat,[],[s128,s819]) ).
cnf(s829,plain,
spl30_125,
inference(rat,[],[s91,s819]) ).
cnf(s843,plain,
spl30_18,
inference(rat,[],[s7,s8]) ).
cnf(s844,plain,
spl30_16,
inference(rat,[],[s5,s812]) ).
cnf(s849,plain,
spl30_25,
inference(rat,[],[s32,s844]) ).
cnf(s854,plain,
spl30_24,
inference(rat,[],[s30,s825,s849]) ).
cnf(s861,plain,
~ spl30_43,
inference(rat,[],[s58,s854]) ).
cnf(s867,plain,
~ spl30_45,
inference(rat,[],[s742,s168,s745,s208,s170,s210,s346,s352,s747,s844,s817,s812,s828,s829]) ).
cnf(s868,plain,
~ spl30_44,
inference(rat,[],[s72,s90,s183]) ).
cnf(s869,plain,
spl30_42,
inference(rat,[],[s23,s867,s861,s843,s868]) ).
cnf(s870,plain,
~ spl30_229,
inference(rat,[],[s767,s867,s861,s868]) ).
cnf(s872,plain,
spl30_239,
inference(rat,[],[s758,s867,s861,s868]) ).
cnf(s873,plain,
~ spl30_233,
inference(rat,[],[s191,s817,s869]) ).
cnf(s876,plain,
~ spl30_234,
inference(rat,[],[s766,s827,s872,s868,s867,s861,s844,s812,s870]) ).
cnf(s878,plain,
$false,
inference(rat,[],[s189,s869,s876,s873]) ).
fof(f11339,plain,
$false,
inference(avatar_sat_refutation,[],[s878]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP636+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n016.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 10:23:02 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 11.03/2.42 % (2419745)Detected formulas, will run a generic FOF schedule.
% 11.03/2.42 % (2419756)dis-21_1_sil=8000:lcm=predicate:random_seed=3211162890:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 11.03/2.42 % (2419750)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=1496850732:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 11.03/2.42 % (2419752)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=3460721860:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 11.03/2.42 % (2419751)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=728565338:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 11.03/2.42 % (2419753)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3337581721:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 11.03/2.42 % (2419755)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3216198276:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 11.03/2.42 % (2419753)Refutation not found, incomplete strategy
% 11.03/2.42 % (2419753)------------------------------
% 11.03/2.42 % (2419753)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.42 % (2419753)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.42 % (2419753)CaDiCaL version: 2.1.3
% 11.03/2.42 % (2419753)Termination reason: Refutation not found, incomplete strategy
% 11.03/2.42 % (2419753)Time elapsed: 0.004 s
% 11.03/2.42 % (2419753)Peak memory usage: 88 MB
% 11.03/2.42 % (2419753)Instructions burned: 5 (million)
% 11.03/2.42 % (2419756)Instruction limit reached!
% 11.03/2.42 % (2419756)------------------------------
% 11.03/2.42 % (2419756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.42 % (2419756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.42 % (2419756)CaDiCaL version: 2.1.3
% 11.03/2.42 % (2419756)Termination reason: Instruction limit
% 11.03/2.42 % (2419756)Termination phase: Saturation
% 11.03/2.42 % (2419756)Time elapsed: 0.042 s
% 11.03/2.42 % (2419756)Peak memory usage: 91 MB
% 11.03/2.42 % (2419756)Instructions burned: 130 (million)
% 11.03/2.42 % (2419754)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3766727707:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 11.03/2.42 % (2419754)Instruction limit reached!
% 11.03/2.42 % (2419754)------------------------------
% 11.03/2.42 % (2419754)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.42 % (2419754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.42 % (2419754)CaDiCaL version: 2.1.3
% 11.03/2.42 % (2419754)Termination reason: Instruction limit
% 11.03/2.42 % (2419754)Termination phase: Saturation
% 11.03/2.42 % (2419754)Time elapsed: 0.076 s
% 11.03/2.42 % (2419754)Peak memory usage: 89 MB
% 11.03/2.42 % (2419754)Instructions burned: 121 (million)
% 11.03/2.42 % (2419764)lrs+10_1_sil=8000:sp=occurrence:random_seed=2852285863:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 11.03/2.42 % (2419755)Instruction limit reached!
% 11.03/2.43 % (2419755)------------------------------
% 11.03/2.43 % (2419755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.43 % (2419755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.43 % (2419755)CaDiCaL version: 2.1.3
% 11.03/2.43 % (2419755)Termination reason: Instruction limit
% 11.03/2.43 % (2419755)Termination phase: Saturation
% 11.03/2.43 % (2419755)Time elapsed: 0.098 s
% 11.03/2.43 % (2419755)Peak memory usage: 90 MB
% 11.03/2.43 % (2419755)Instructions burned: 139 (million)
% 11.03/2.43 % (2419764)Instruction limit reached!
% 11.03/2.43 % (2419764)------------------------------
% 11.03/2.43 % (2419764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.03/2.43 % (2419764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.03/2.43 % (2419764)CaDiCaL version: 2.1.3
% 11.03/2.43 % (2419764)Termination reason: Instruction limit
% 11.03/2.43 % (2419764)Termination phase: Saturation
% 11.03/2.43 % (2419764)Time elapsed: 0.098 s
% 11.03/2.43 % (2419764)Peak memory usage: 93 MB
% 11.03/2.43 % (2419764)Instructions burned: 286 (million)
% 15.81/3.10 % (2419765)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3576695063:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 15.81/3.10 % (2419767)lrs+1011_1_sil=32000:sp=occurrence:random_seed=450897637:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 15.81/3.10 % (2419753)------------------------------
% 15.81/3.10 % (2419753)------------------------------
% 15.81/3.10 % (2419768)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=3568003402:s2a=on:i=248:s2at=1.23:gtg=position_2996 on theBenchmark for (2996ds/248Mi)
% 15.81/3.10 % (2419765)Instruction limit reached!
% 15.81/3.10 % (2419765)------------------------------
% 15.81/3.10 % (2419765)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419765)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419765)Termination reason: Instruction limit
% 15.81/3.10 % (2419765)Termination phase: Saturation
% 15.81/3.10 % (2419765)Time elapsed: 0.084 s
% 15.81/3.10 % (2419765)Peak memory usage: 89 MB
% 15.81/3.10 % (2419765)Instructions burned: 158 (million)
% 15.81/3.10 % (2419768)Instruction limit reached!
% 15.81/3.10 % (2419768)------------------------------
% 15.81/3.10 % (2419768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419768)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419768)Termination reason: Instruction limit
% 15.81/3.10 % (2419768)Termination phase: Saturation
% 15.81/3.10 % (2419768)Time elapsed: 0.079 s
% 15.81/3.10 % (2419768)Peak memory usage: 92 MB
% 15.81/3.10 % (2419768)Instructions burned: 249 (million)
% 15.81/3.10 % (2419771)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1595224429:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2996 on theBenchmark for (2996ds/294Mi)
% 15.81/3.10 % (2419771)Refutation not found, incomplete strategy
% 15.81/3.10 % (2419771)------------------------------
% 15.81/3.10 % (2419771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419771)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419771)Termination reason: Refutation not found, incomplete strategy
% 15.81/3.10 % (2419771)Time elapsed: 0.005 s
% 15.81/3.10 % (2419771)Peak memory usage: 88 MB
% 15.81/3.10 % (2419771)Instructions burned: 6 (million)
% 15.81/3.10 % (2419767)Instruction limit reached!
% 15.81/3.10 % (2419767)------------------------------
% 15.81/3.10 % (2419767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419767)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419767)Termination reason: Instruction limit
% 15.81/3.10 % (2419767)Termination phase: Saturation
% 15.81/3.10 % (2419767)Time elapsed: 0.199 s
% 15.81/3.10 % (2419767)Peak memory usage: 91 MB
% 15.81/3.10 % (2419767)Instructions burned: 326 (million)
% 15.81/3.10 % (2419773)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=669395923:i=2350_2995 on theBenchmark for (2995ds/2350Mi)
% 15.81/3.10 % (2419774)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3137033822:cts=off:i=113:fsr=off:ss=included:sgt=4_2994 on theBenchmark for (2994ds/113Mi)
% 15.81/3.10 % (2419774)Instruction limit reached!
% 15.81/3.10 % (2419774)------------------------------
% 15.81/3.10 % (2419774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419774)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419774)Termination reason: Instruction limit
% 15.81/3.10 % (2419774)Termination phase: Saturation
% 15.81/3.10 % (2419774)Time elapsed: 0.041 s
% 15.81/3.10 % (2419774)Peak memory usage: 90 MB
% 15.81/3.10 % (2419774)Instructions burned: 116 (million)
% 15.81/3.10 % (2419776)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1814658057:i=127:av=off:fsr=off:sup=off_2994 on theBenchmark for (2994ds/127Mi)
% 15.81/3.10 % (2419779)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3154651750:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2993 on theBenchmark for (2993ds/114Mi)
% 15.81/3.10 % (2419779)Instruction limit reached!
% 15.81/3.10 % (2419779)------------------------------
% 15.81/3.10 % (2419779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419779)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419779)Termination reason: Instruction limit
% 15.81/3.10 % (2419779)Termination phase: Saturation
% 15.81/3.10 % (2419779)Time elapsed: 0.031 s
% 15.81/3.10 % (2419779)Peak memory usage: 89 MB
% 15.81/3.10 % (2419779)Instructions burned: 116 (million)
% 15.81/3.10 % (2419771)------------------------------
% 15.81/3.10 % (2419771)------------------------------
% 15.81/3.10 % (2419776)Instruction limit reached!
% 15.81/3.10 % (2419776)------------------------------
% 15.81/3.10 % (2419776)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419776)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419776)Termination reason: Instruction limit
% 15.81/3.10 % (2419776)Termination phase: Saturation
% 15.81/3.10 % (2419776)Time elapsed: 0.064 s
% 15.81/3.10 % (2419776)Peak memory usage: 88 MB
% 15.81/3.10 % (2419776)Instructions burned: 128 (million)
% 15.81/3.10 % (2419782)lrs+10_1_sil=8000:sp=occurrence:random_seed=309025578:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2992 on theBenchmark for (2992ds/907Mi)
% 15.81/3.10 % (2419783)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3930720521:i=437:sd=1:aac=none:ss=included_2992 on theBenchmark for (2992ds/437Mi)
% 15.81/3.10 % (2419783)Refutation not found, incomplete strategy
% 15.81/3.10 % (2419783)------------------------------
% 15.81/3.10 % (2419783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419783)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419783)Termination reason: Refutation not found, incomplete strategy
% 15.81/3.10 % (2419783)Time elapsed: 0.006 s
% 15.81/3.10 % (2419783)Peak memory usage: 88 MB
% 15.81/3.10 % (2419783)Instructions burned: 7 (million)
% 15.81/3.10 % (2419784)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1472691698:i=5202:ss=axioms:sgt=16_2992 on theBenchmark for (2992ds/5202Mi)
% 15.81/3.10 % (2419782)Instruction limit reached!
% 15.81/3.10 % (2419782)------------------------------
% 15.81/3.10 % (2419782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419782)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419782)Termination reason: Instruction limit
% 15.81/3.10 % (2419782)Termination phase: Saturation
% 15.81/3.10 % (2419782)Time elapsed: 0.285 s
% 15.81/3.10 % (2419782)Peak memory usage: 100 MB
% 15.81/3.10 % (2419782)Instructions burned: 909 (million)
% 15.81/3.10 % (2419783)------------------------------
% 15.81/3.10 % (2419783)------------------------------
% 15.81/3.10 % (2419788)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=2855555262:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2988 on theBenchmark for (2988ds/134Mi)
% 15.81/3.10 % (2419788)Instruction limit reached!
% 15.81/3.10 % (2419788)------------------------------
% 15.81/3.10 % (2419788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419788)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419788)Termination reason: Instruction limit
% 15.81/3.10 % (2419788)Termination phase: Saturation
% 15.81/3.10 % (2419788)Time elapsed: 0.042 s
% 15.81/3.10 % (2419788)Peak memory usage: 90 MB
% 15.81/3.10 % (2419788)Instructions burned: 135 (million)
% 15.81/3.10 % (2419789)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=604668989:st=8:i=592:sd=3:ep=RST:ss=axioms_2988 on theBenchmark for (2988ds/592Mi)
% 15.81/3.10 % (2419791)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2233201784:st=3:i=13193:sd=3:ss=axioms_2987 on theBenchmark for (2987ds/13193Mi)
% 15.81/3.10 % (2419789)Instruction limit reached!
% 15.81/3.10 % (2419789)------------------------------
% 15.81/3.10 % (2419789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419789)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419789)Termination reason: Instruction limit
% 15.81/3.10 % (2419789)Termination phase: Saturation
% 15.81/3.10 % (2419789)Time elapsed: 0.307 s
% 15.81/3.10 % (2419789)Peak memory usage: 91 MB
% 15.81/3.10 % (2419789)Instructions burned: 593 (million)
% 15.81/3.10 % (2419794)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=604610142:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2984 on theBenchmark for (2984ds/125Mi)
% 15.81/3.10 % (2419794)Instruction limit reached!
% 15.81/3.10 % (2419794)------------------------------
% 15.81/3.10 % (2419794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419794)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419794)Termination reason: Instruction limit
% 15.81/3.10 % (2419794)Termination phase: Saturation
% 15.81/3.10 % (2419794)Time elapsed: 0.080 s
% 15.81/3.10 % (2419794)Peak memory usage: 91 MB
% 15.81/3.10 % (2419794)Instructions burned: 125 (million)
% 15.81/3.10 % (2419796)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=1795211608:i=134:gtgl=5:slsql=off:gtg=exists_sym_2982 on theBenchmark for (2982ds/134Mi)
% 15.81/3.10 % (2419750)First to succeed.
% 15.81/3.10 % (2419750)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2419745"
% 15.81/3.10 % (2419796)Instruction limit reached!
% 15.81/3.10 % (2419796)------------------------------
% 15.81/3.10 % (2419796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419796)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419796)Termination reason: Instruction limit
% 15.81/3.10 % (2419796)Termination phase: Saturation
% 15.81/3.10 % (2419796)Time elapsed: 0.084 s
% 15.81/3.10 % (2419796)Peak memory usage: 90 MB
% 15.81/3.10 % (2419796)Instructions burned: 135 (million)
% 15.81/3.10 % (2419798)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=274121184:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2980 on theBenchmark for (2980ds/141Mi)
% 15.81/3.10 % (2419773)Instruction limit reached!
% 15.81/3.10 % (2419773)------------------------------
% 15.81/3.10 % (2419773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419773)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419773)Termination reason: Instruction limit
% 15.81/3.10 % (2419773)Termination phase: Saturation
% 15.81/3.10 % (2419773)Time elapsed: 1.568 s
% 15.81/3.10 % (2419773)Peak memory usage: 142 MB
% 15.81/3.10 % (2419773)Instructions burned: 2355 (million)
% 15.81/3.10 % (2419798)Instruction limit reached!
% 15.81/3.10 % (2419798)------------------------------
% 15.81/3.10 % (2419798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.81/3.10 % (2419798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.81/3.10 % (2419798)CaDiCaL version: 2.1.3
% 15.81/3.10 % (2419798)Termination reason: Instruction limit
% 15.81/3.10 % (2419798)Termination phase: Saturation
% 15.81/3.10 % (2419798)Time elapsed: 0.067 s
% 15.81/3.10 % (2419798)Peak memory usage: 89 MB
% 15.81/3.10 % (2419798)Instructions burned: 143 (million)
% 15.81/3.10 % (2419750)Refutation found. Thanks to Tanya!
% 15.81/3.10 % SZS status Theorem for theBenchmark
% 15.81/3.10 % SZS output start Proof for theBenchmark
% See solution above
% 16.41/3.29 % (2419750)------------------------------
% 16.41/3.29 % (2419750)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.41/3.29 % (2419750)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.41/3.29 % (2419750)CaDiCaL version: 2.1.3
% 16.41/3.29 % (2419750)Termination reason: Refutation
% 16.41/3.29 % (2419750)Time elapsed: 1.810 s
% 16.41/3.29 % (2419750)Peak memory usage: 144 MB
% 16.41/3.29 % (2419750)Instructions burned: 2645 (million)
% 16.41/3.29 % (2419750)------------------------------
% 16.41/3.29 % (2419750)------------------------------
% 16.41/3.29 % (2419745)Success in time 2.243 s
% 16.41/3.29 % Vampire exiting
%------------------------------------------------------------------------------