%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : GRP645+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n012.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 : Fri Sep 25 01:35:01 PM UTC 2026
% Result : Theorem 2.70s 0.96s
% Output : CNFRefutation 2.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 67
% Syntax : Number of formulae : 1113 ( 422 unt; 18 def)
% Number of atoms : 4164 ( 884 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 3857 (1767 ~;1884 |; 159 &)
% ( 5 <=>; 42 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 39 ( 37 usr; 21 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 9 con; 0-3 aty)
% Number of variables : 1087 ( 2 sgn1058 !; 29 ?; 713 :)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_latsubgr) ).
fof(f2,negated_conjecture,
~ ! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
! [X0] :
( l1_group_1(X0)
=> ( v1_group_1(X0)
=> X0 = g1_group_1(u1_struct_0(X0),u1_group_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',abstractness_v1_group_1) ).
fof(f4,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> ~ r2_hidden(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden) ).
fof(f8,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ! [X2] :
( m1_relset_1(X2,X0,X1)
=> ( ( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2) )
=> ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cc6_funct_2) ).
fof(f9,axiom,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k3_xboole_0) ).
fof(f10,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_k9_group_2) ).
fof(f11,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(X1) )
=> ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_latsubgr) ).
fof(f12,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_g1_group_1) ).
fof(f15,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_latsubgr) ).
fof(f20,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k8_group_2(X0,X1,X2),X0)
& v1_group_1(k8_group_2(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k8_group_2) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ( m1_group_2(k9_group_2(X0,X1,X2),X0)
& v1_group_1(k9_group_2(X0,X1,X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k9_group_2) ).
fof(f22,axiom,
! [X0] :
( l1_group_1(X0)
=> l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_group_1) ).
fof(f24,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( m1_group_2(X1,X0)
=> ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m1_group_2) ).
fof(f27,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
=> m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_m2_relset_1) ).
fof(f28,axiom,
! [X0] :
( l1_group_1(X0)
=> ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_u1_group_1) ).
fof(f30,axiom,
? [X0] : l1_group_1(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_group_1) ).
fof(f31,axiom,
? [X0] : l1_struct_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_l1_struct_0) ).
fof(f32,axiom,
! [X0] :
( ( l1_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] : m1_group_2(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_group_2) ).
fof(f33,axiom,
! [X0,X1] :
? [X2] : m1_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_relset_1) ).
fof(f34,axiom,
! [X0] :
? [X1] : m1_subset_1(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m1_subset_1) ).
fof(f35,axiom,
! [X0,X1] :
? [X2] : m2_relset_1(X2,X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',existence_m2_relset_1) ).
fof(f36,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(k1_group_3(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_group_3) ).
fof(f37,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ~ v1_xboole_0(u1_struct_0(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
fof(f38,axiom,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_subset_1) ).
fof(f39,axiom,
v1_xboole_0(k1_xboole_0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_xboole_0) ).
fof(f40,axiom,
! [X0,X1] :
( ( ~ v1_xboole_0(X1)
& ~ v1_xboole_0(X0) )
=> ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc4_subset_1) ).
fof(f41,axiom,
! [X0,X1] :
( ( m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
& v1_funct_1(X1) )
=> ! [X2,X3] :
( g1_group_1(X0,X1) = g1_group_1(X2,X3)
=> ( X1 = X3
& X0 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',free_g1_group_1) ).
fof(f42,axiom,
! [X0,X1] : k3_xboole_0(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_k3_xboole_0) ).
fof(f43,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_funct_2) ).
fof(f44,axiom,
! [X0] :
( ~ v1_xboole_0(X0)
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_subset_1) ).
fof(f45,axiom,
? [X0] : v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc1_xboole_0) ).
fof(f46,axiom,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& v1_relat_1(X2)
& m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_partfun1) ).
fof(f47,axiom,
! [X0] :
? [X1] :
( v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_subset_1) ).
fof(f48,axiom,
? [X0] : ~ v1_xboole_0(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_xboole_0) ).
fof(f49,axiom,
? [X0] :
( ~ v3_struct_0(X0)
& l1_struct_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc3_struct_0) ).
fof(f50,axiom,
! [X0] :
( ( l1_struct_0(X0)
& ~ v3_struct_0(X0) )
=> ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc5_struct_0) ).
fof(f51,axiom,
! [X0,X1,X2] :
( ( m1_group_2(X2,X0)
& m1_group_2(X1,X0)
& l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> k9_group_2(X0,X1,X2) = k8_group_2(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k9_group_2) ).
fof(f52,axiom,
! [X0,X1,X2] :
( m2_relset_1(X2,X0,X1)
<=> m1_relset_1(X2,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_m2_relset_1) ).
fof(f53,axiom,
! [X0,X1] : r1_tarski(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
fof(f54,axiom,
! [X0,X1] :
( r2_hidden(X0,X1)
=> m1_subset_1(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1_subset) ).
fof(f55,axiom,
! [X0] :
( ( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0) )
=> ! [X1] :
( ( m1_group_2(X1,X0)
& v1_group_1(X1) )
=> ! [X2] :
( ( m1_group_2(X2,X0)
& v1_group_1(X2) )
=> u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t23_latsubgr) ).
fof(f56,axiom,
! [X0] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_boole) ).
fof(f57,axiom,
! [X0,X1] :
( m1_subset_1(X0,X1)
=> ( r2_hidden(X0,X1)
| v1_xboole_0(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
fof(f58,axiom,
! [X0,X1] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
<=> r1_tarski(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_subset) ).
fof(f59,axiom,
! [X0,X1,X2] :
( ( m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) )
=> m1_subset_1(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t4_subset) ).
fof(f60,axiom,
! [X0,X1,X2] :
~ ( v1_xboole_0(X2)
& m1_subset_1(X1,k1_zfmisc_1(X2))
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_subset) ).
fof(f61,axiom,
! [X0] :
( v1_xboole_0(X0)
=> X0 = k1_xboole_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_boole) ).
fof(f62,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& r2_hidden(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t7_boole) ).
fof(f63,axiom,
! [X0,X1] :
~ ( v1_xboole_0(X1)
& X0 != X1
& v1_xboole_0(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t8_boole) ).
fof(f64,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(rectify,[],[f42]) ).
fof(f65,plain,
! [X0] : r1_tarski(X0,X0),
inference(rectify,[],[f53]) ).
fof(f66,plain,
! [X0,X1] :
( r1_tarski(X0,X1)
=> m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(unused_predicate_definition_removal,[],[f58]) ).
fof(f67,plain,
! [X0,X1] :
? [X2] :
( v1_funct_2(X2,X0,X1)
& v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) ),
inference(pure_predicate_removal,[],[f43]) ).
fof(f69,plain,
! [X0,X1] :
? [X2] :
( v1_funct_1(X2)
& m1_relset_1(X2,X0,X1) ),
inference(pure_predicate_removal,[],[f46]) ).
fof(f70,plain,
? [X0] :
( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_group_2(X1,X0)
& v1_group_1(X1)
& ? [X2] :
( m1_group_2(X2,X0)
& v1_group_1(X2)
& k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
inference(ennf_transformation,[],[f2]) ).
fof(f71,plain,
? [X0] :
( l1_group_1(X0)
& v4_group_1(X0)
& v3_group_1(X0)
& ~ v3_struct_0(X0)
& ? [X1] :
( m1_group_2(X1,X0)
& v1_group_1(X1)
& ? [X2] :
( m1_group_2(X2,X0)
& v1_group_1(X2)
& k1_funct_1(k1_latsubgr(X0),k9_group_2(X0,X1,X2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
inference(flattening,[],[f70]) ).
fof(f72,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| X0 = g1_group_1(u1_struct_0(X0),u1_group_1(X0)) ),
inference(ennf_transformation,[],[f3]) ).
fof(f73,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| X0 = g1_group_1(u1_struct_0(X0),u1_group_1(X0)) ),
inference(flattening,[],[f72]) ).
fof(f74,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f79,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ),
inference(ennf_transformation,[],[f8]) ).
fof(f80,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ! [X2] :
( ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ( v1_funct_2(X2,X0,X1)
& v1_partfun1(X2,X0,X1)
& ~ v1_xboole_0(X2)
& v1_funct_1(X2) ) ) ),
inference(flattening,[],[f79]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1) ),
inference(flattening,[],[f81]) ).
fof(f83,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f84,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ( X1 = k1_latsubgr(X0)
<=> ! [X2] :
( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| k1_funct_1(X1,X2) = u1_struct_0(X2) ) ) ) ),
inference(flattening,[],[f83]) ).
fof(f85,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
inference(ennf_transformation,[],[f12]) ).
fof(f86,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ( l1_group_1(g1_group_1(X0,X1))
& v1_group_1(g1_group_1(X0,X1)) ) ),
inference(flattening,[],[f85]) ).
fof(f87,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f88,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
& v1_funct_1(k1_latsubgr(X0)) ) ),
inference(flattening,[],[f87]) ).
fof(f89,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m1_group_2(k8_group_2(X0,X1,X2),X0)
& v1_group_1(k8_group_2(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f20]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m1_group_2(k8_group_2(X0,X1,X2),X0)
& v1_group_1(k8_group_2(X0,X1,X2)) ) ),
inference(flattening,[],[f89]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m1_group_2(k9_group_2(X0,X1,X2),X0)
& v1_group_1(k9_group_2(X0,X1,X2)) ) ),
inference(ennf_transformation,[],[f21]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ( m1_group_2(k9_group_2(X0,X1,X2),X0)
& v1_group_1(k9_group_2(X0,X1,X2)) ) ),
inference(flattening,[],[f91]) ).
fof(f93,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f94,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(ennf_transformation,[],[f24]) ).
fof(f95,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ( l1_group_1(X1)
& v3_group_1(X1)
& ~ v3_struct_0(X1) ) ) ),
inference(flattening,[],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(ennf_transformation,[],[f27]) ).
fof(f97,plain,
! [X0] :
( ~ l1_group_1(X0)
| ( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
& v1_funct_1(u1_group_1(X0)) ) ),
inference(ennf_transformation,[],[f28]) ).
fof(f98,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ? [X1] : m1_group_2(X1,X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f99,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ? [X1] : m1_group_2(X1,X0) ),
inference(flattening,[],[f98]) ).
fof(f100,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_group_3(X0)) ),
inference(ennf_transformation,[],[f36]) ).
fof(f101,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_group_3(X0)) ),
inference(flattening,[],[f100]) ).
fof(f102,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(ennf_transformation,[],[f37]) ).
fof(f103,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(flattening,[],[f102]) ).
fof(f104,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(ennf_transformation,[],[f40]) ).
fof(f105,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(flattening,[],[f104]) ).
fof(f106,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2,X3] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ( X1 = X3
& X0 = X2 ) ) ),
inference(ennf_transformation,[],[f41]) ).
fof(f107,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| ! [X2,X3] :
( g1_group_1(X0,X1) != g1_group_1(X2,X3)
| ( X1 = X3
& X0 = X2 ) ) ),
inference(flattening,[],[f106]) ).
fof(f108,plain,
! [X0] :
( v1_xboole_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(X0)) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f109,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f110,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ? [X1] :
( ~ v1_xboole_0(X1)
& m1_subset_1(X1,k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(flattening,[],[f109]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k9_group_2(X0,X1,X2) = k8_group_2(X0,X1,X2) ),
inference(ennf_transformation,[],[f51]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k9_group_2(X0,X1,X2) = k8_group_2(X0,X1,X2) ),
inference(flattening,[],[f111]) ).
fof(f113,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(ennf_transformation,[],[f54]) ).
fof(f114,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
inference(ennf_transformation,[],[f55]) ).
fof(f115,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ! [X2] :
( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| u1_struct_0(k9_group_2(X0,X1,X2)) = k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) ) ) ),
inference(flattening,[],[f114]) ).
fof(f116,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(ennf_transformation,[],[f57]) ).
fof(f117,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(flattening,[],[f116]) ).
fof(f118,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(ennf_transformation,[],[f66]) ).
fof(f119,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(ennf_transformation,[],[f59]) ).
fof(f120,plain,
! [X0,X1,X2] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(flattening,[],[f119]) ).
fof(f121,plain,
! [X0,X1,X2] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f60]) ).
fof(f122,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| X0 = k1_xboole_0 ),
inference(ennf_transformation,[],[f61]) ).
fof(f123,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(ennf_transformation,[],[f62]) ).
fof(f124,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f125,plain,
( l1_group_1(sK0)
& v4_group_1(sK0)
& v3_group_1(sK0)
& ~ v3_struct_0(sK0)
& m1_group_2(sK1,sK0)
& v1_group_1(sK1)
& m1_group_2(sK2,sK0)
& v1_group_1(sK2)
& k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f71]) ).
fof(f126,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ( ( k1_latsubgr(X0) != X1
| ! [X2] :
( ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| k1_funct_1(X1,X2) = u1_struct_0(X2) ) )
& ( ? [X2] :
( m1_group_2(X2,X0)
& v1_group_1(X2)
& k1_funct_1(X1,X2) != u1_struct_0(X2) )
| X1 = k1_latsubgr(X0) ) ) ) ),
inference(nnf_transformation,[],[f84]) ).
fof(f127,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ( ( k1_latsubgr(X0) != X1
| ! [X3] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_funct_1(X1,X3) = u1_struct_0(X3) ) )
& ( ? [X2] :
( m1_group_2(X2,X0)
& v1_group_1(X2)
& k1_funct_1(X1,X2) != u1_struct_0(X2) )
| X1 = k1_latsubgr(X0) ) ) ) ),
inference(rectify,[],[f126]) ).
fof(f128,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ! [X1] :
( ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| ( ( k1_latsubgr(X0) != X1
| ! [X3] :
( ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_funct_1(X1,X3) = u1_struct_0(X3) ) )
& ( ( m1_group_2(sK3(X0,X1),X0)
& v1_group_1(sK3(X0,X1))
& k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1)) )
| X1 = k1_latsubgr(X0) ) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f127]) ).
fof(f129,plain,
l1_group_1(sK4),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X0,sK4)],[f30]) ).
fof(f130,plain,
l1_struct_0(sK5),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X0,sK5)],[f31]) ).
fof(f131,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_group_2(sK6(X0),X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X1,sK6(X0))],[f99]) ).
fof(f132,plain,
! [X0,X1] : m1_relset_1(sK7(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f33]) ).
fof(f133,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(skolemize,[status(esa),new_symbols(skolem,[sK8]),skolemize(X1,sK8(X0))],[f34]) ).
fof(f134,plain,
! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9]),skolemize(X2,sK9(X0,X1))],[f35]) ).
fof(f135,plain,
! [X0,X1] :
( v1_funct_2(sK10(X0,X1),X0,X1)
& v1_funct_1(sK10(X0,X1))
& m1_relset_1(sK10(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10]),skolemize(X2,sK10(X0,X1))],[f67]) ).
fof(f136,plain,
! [X0] :
( v1_xboole_0(X0)
| ( ~ v1_xboole_0(sK11(X0))
& m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11]),skolemize(X1,sK11(X0))],[f108]) ).
fof(f137,plain,
v1_xboole_0(sK12),
inference(skolemize,[status(esa),new_symbols(skolem,[sK12]),skolemize(X0,sK12)],[f45]) ).
fof(f138,plain,
! [X0,X1] :
( v1_funct_1(sK13(X0,X1))
& m1_relset_1(sK13(X0,X1),X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13]),skolemize(X2,sK13(X0,X1))],[f69]) ).
fof(f139,plain,
! [X0] :
( v1_xboole_0(sK14(X0))
& m1_subset_1(sK14(X0),k1_zfmisc_1(X0)) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14]),skolemize(X1,sK14(X0))],[f47]) ).
fof(f140,plain,
~ v1_xboole_0(sK15),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15]),skolemize(X0,sK15)],[f48]) ).
fof(f141,plain,
( ~ v3_struct_0(sK16)
& l1_struct_0(sK16) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK16]),skolemize(X0,sK16)],[f49]) ).
fof(f142,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ( ~ v1_xboole_0(sK17(X0))
& m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0))) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK17]),skolemize(X1,sK17(X0))],[f110]) ).
fof(f143,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,[],[f52]) ).
fof(f144,plain,
l1_group_1(sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f145,plain,
v4_group_1(sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f146,plain,
v3_group_1(sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f147,plain,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f148,plain,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f149,plain,
v1_group_1(sK1),
inference(cnf_transformation,[],[f125]) ).
fof(f150,plain,
m1_group_2(sK2,sK0),
inference(cnf_transformation,[],[f125]) ).
fof(f151,plain,
v1_group_1(sK2),
inference(cnf_transformation,[],[f125]) ).
fof(f152,plain,
k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)) != k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2)),
inference(cnf_transformation,[],[f125]) ).
fof(f153,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v1_group_1(X0)
| g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 ),
inference(cnf_transformation,[],[f73]) ).
fof(f154,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| ~ r2_hidden(X1,X0) ),
inference(cnf_transformation,[],[f74]) ).
fof(f162,plain,
! [X2,X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ m1_relset_1(X2,X0,X1)
| ~ v1_funct_2(X2,X0,X1)
| ~ v1_funct_1(X2)
| ~ v1_xboole_0(X2) ),
inference(cnf_transformation,[],[f80]) ).
fof(f164,plain,
! [X0,X1] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f9]) ).
fof(f165,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1) ),
inference(cnf_transformation,[],[f82]) ).
fof(f166,plain,
! [X3,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| k1_latsubgr(X0) != X1
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| k1_funct_1(X1,X3) = u1_struct_0(X3) ),
inference(cnf_transformation,[],[f128]) ).
fof(f167,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| m1_group_2(sK3(X0,X1),X0)
| k1_latsubgr(X0) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f168,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| v1_group_1(sK3(X0,X1))
| k1_latsubgr(X0) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f169,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(X1)
| k1_funct_1(X1,sK3(X0,X1)) != u1_struct_0(sK3(X0,X1))
| k1_latsubgr(X0) = X1 ),
inference(cnf_transformation,[],[f128]) ).
fof(f170,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| l1_group_1(g1_group_1(X0,X1)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f171,plain,
! [X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| v1_group_1(g1_group_1(X0,X1)) ),
inference(cnf_transformation,[],[f86]) ).
fof(f172,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f173,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f88]) ).
fof(f174,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_funct_1(k1_latsubgr(X0)) ),
inference(cnf_transformation,[],[f88]) ).
fof(f175,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_group_2(k8_group_2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f90]) ).
fof(f176,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_1(k8_group_2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f90]) ).
fof(f177,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_group_2(k9_group_2(X0,X1,X2),X0) ),
inference(cnf_transformation,[],[f92]) ).
fof(f178,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| v1_group_1(k9_group_2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f92]) ).
fof(f179,plain,
! [X0] :
( ~ l1_group_1(X0)
| l1_struct_0(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f180,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| l1_group_1(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f181,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| v3_group_1(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f182,plain,
! [X0,X1] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ v3_struct_0(X1) ),
inference(cnf_transformation,[],[f95]) ).
fof(f183,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_subset_1(X2,k1_zfmisc_1(k2_zfmisc_1(X0,X1))) ),
inference(cnf_transformation,[],[f96]) ).
fof(f184,plain,
! [X0] :
( ~ l1_group_1(X0)
| m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f185,plain,
! [X0] :
( ~ l1_group_1(X0)
| v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f186,plain,
! [X0] :
( ~ l1_group_1(X0)
| v1_funct_1(u1_group_1(X0)) ),
inference(cnf_transformation,[],[f97]) ).
fof(f187,plain,
l1_group_1(sK4),
inference(cnf_transformation,[],[f129]) ).
fof(f188,plain,
l1_struct_0(sK5),
inference(cnf_transformation,[],[f130]) ).
fof(f189,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| m1_group_2(sK6(X0),X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f190,plain,
! [X0,X1] : m1_relset_1(sK7(X0,X1),X0,X1),
inference(cnf_transformation,[],[f132]) ).
fof(f191,plain,
! [X0] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f133]) ).
fof(f192,plain,
! [X0,X1] : m2_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f134]) ).
fof(f193,plain,
! [X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(k1_group_3(X0)) ),
inference(cnf_transformation,[],[f101]) ).
fof(f194,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f103]) ).
fof(f195,plain,
! [X0] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f38]) ).
fof(f196,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f39]) ).
fof(f197,plain,
! [X0,X1] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f105]) ).
fof(f198,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X1 = X3 ),
inference(cnf_transformation,[],[f107]) ).
fof(f199,plain,
! [X2,X3,X0,X1] :
( ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_1(X1)
| g1_group_1(X0,X1) != g1_group_1(X2,X3)
| X0 = X2 ),
inference(cnf_transformation,[],[f107]) ).
fof(f200,plain,
! [X0] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f64]) ).
fof(f201,plain,
! [X0,X1] : v1_funct_2(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f135]) ).
fof(f202,plain,
! [X0,X1] : v1_funct_1(sK10(X0,X1)),
inference(cnf_transformation,[],[f135]) ).
fof(f203,plain,
! [X0,X1] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f135]) ).
fof(f204,plain,
! [X0] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK11(X0)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f205,plain,
! [X0] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f136]) ).
fof(f206,plain,
v1_xboole_0(sK12),
inference(cnf_transformation,[],[f137]) ).
fof(f208,plain,
! [X0,X1] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f138]) ).
fof(f209,plain,
! [X0] : v1_xboole_0(sK14(X0)),
inference(cnf_transformation,[],[f139]) ).
fof(f210,plain,
! [X0] : m1_subset_1(sK14(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f139]) ).
fof(f211,plain,
~ v1_xboole_0(sK15),
inference(cnf_transformation,[],[f140]) ).
fof(f212,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f141]) ).
fof(f213,plain,
l1_struct_0(sK16),
inference(cnf_transformation,[],[f141]) ).
fof(f214,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| ~ v1_xboole_0(sK17(X0)) ),
inference(cnf_transformation,[],[f142]) ).
fof(f215,plain,
! [X0] :
( ~ l1_struct_0(X0)
| v3_struct_0(X0)
| m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f142]) ).
fof(f216,plain,
! [X2,X0,X1] :
( ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| k9_group_2(X0,X1,X2) = k8_group_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f112]) ).
fof(f217,plain,
! [X2,X0,X1] :
( ~ m2_relset_1(X2,X0,X1)
| m1_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f218,plain,
! [X2,X0,X1] :
( ~ m1_relset_1(X2,X0,X1)
| m2_relset_1(X2,X0,X1) ),
inference(cnf_transformation,[],[f143]) ).
fof(f219,plain,
! [X0] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f65]) ).
fof(f220,plain,
! [X0,X1] :
( ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f113]) ).
fof(f221,plain,
! [X2,X0,X1] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m1_group_2(X1,X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X0)
| ~ v1_group_1(X2)
| k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2)) ),
inference(cnf_transformation,[],[f115]) ).
fof(f222,plain,
! [X0] : k1_xboole_0 = k3_xboole_0(X0,k1_xboole_0),
inference(cnf_transformation,[],[f56]) ).
fof(f223,plain,
! [X0,X1] :
( ~ m1_subset_1(X0,X1)
| r2_hidden(X0,X1)
| v1_xboole_0(X1) ),
inference(cnf_transformation,[],[f117]) ).
fof(f224,plain,
! [X0,X1] :
( ~ r1_tarski(X0,X1)
| m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f118]) ).
fof(f225,plain,
! [X2,X0,X1] :
( ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1)
| m1_subset_1(X0,X2) ),
inference(cnf_transformation,[],[f120]) ).
fof(f226,plain,
! [X2,X0,X1] :
( ~ v1_xboole_0(X2)
| ~ m1_subset_1(X1,k1_zfmisc_1(X2))
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f121]) ).
fof(f227,plain,
! [X0] :
( ~ v1_xboole_0(X0)
| k1_xboole_0 = X0 ),
inference(cnf_transformation,[],[f122]) ).
fof(f228,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f123]) ).
fof(f229,plain,
! [X0,X1] :
( ~ v1_xboole_0(X1)
| X0 = X1
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f230,plain,
! [X3,X0] :
( ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| v3_struct_0(X0)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_group_2(X3,X0)
| ~ v1_group_1(X3)
| u1_struct_0(X3) = k1_funct_1(k1_latsubgr(X0),X3) ),
inference(equality_resolution,[],[f166]) ).
tcf(c_49,negated_conjecture,
k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),sK1),k1_funct_1(k1_latsubgr(sK0),sK2)) != k1_funct_1(k1_latsubgr(sK0),k9_group_2(sK0,sK1,sK2)),
inference(cnf_transformation,[],[f152]) ).
tcf(c_50,negated_conjecture,
v1_group_1(sK2),
inference(cnf_transformation,[],[f151]) ).
tcf(c_51,negated_conjecture,
m1_group_2(sK2,sK0),
inference(cnf_transformation,[],[f150]) ).
tcf(c_52,negated_conjecture,
v1_group_1(sK1),
inference(cnf_transformation,[],[f149]) ).
tcf(c_53,negated_conjecture,
m1_group_2(sK1,sK0),
inference(cnf_transformation,[],[f148]) ).
tcf(c_54,negated_conjecture,
~ v3_struct_0(sK0),
inference(cnf_transformation,[],[f147]) ).
tcf(c_55,negated_conjecture,
v3_group_1(sK0),
inference(cnf_transformation,[],[f146]) ).
tcf(c_56,negated_conjecture,
v4_group_1(sK0),
inference(cnf_transformation,[],[f145]) ).
tcf(c_57,negated_conjecture,
l1_group_1(sK0),
inference(cnf_transformation,[],[f144]) ).
tcf(c_58,plain,
! [X0: $i] :
( ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) = X0 )
| ~ l1_group_1(X0)
| ~ v1_group_1(X0) ),
inference(cnf_transformation,[],[f153]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( ~ r2_hidden(X1,X0)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f154]) ).
tcf(c_62,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(cnf_transformation,[],[f162]) ).
tcf(c_64,plain,
! [X0: $i,X1: $i] : k3_xboole_0(X0,X1) = k3_xboole_0(X1,X0),
inference(cnf_transformation,[],[f164]) ).
tcf(c_65,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k9_group_2(X1,X0,X2) = k9_group_2(X1,X2,X0) )
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f165]) ).
tcf(c_66,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_latsubgr(X1) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X0,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(X0,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ( k1_funct_1(X0,sK3(X1,X0)) != u1_struct_0(sK3(X1,X0)) ) ),
inference(cnf_transformation,[],[f169]) ).
tcf(c_67,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| v1_group_1(sK3(X1,X0))
| ( k1_latsubgr(X1) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X0,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(X0,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f168]) ).
tcf(c_68,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_group_2(sK3(X1,X0),X1)
| ( k1_latsubgr(X1) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X0,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(X0,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1))) ),
inference(cnf_transformation,[],[f167]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| ~ v1_funct_1(k1_latsubgr(X0))
| ~ m1_group_2(X1,X0)
| ~ m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0))) ),
inference(cnf_transformation,[],[f230]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i] :
( v1_group_1(g1_group_1(X1,X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f171]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( l1_group_1(g1_group_1(X1,X0))
| ~ v1_funct_1(X0)
| ~ m1_relset_1(X0,k2_zfmisc_1(X1,X1),X1)
| ~ v1_funct_2(X0,k2_zfmisc_1(X1,X1),X1) ),
inference(cnf_transformation,[],[f170]) ).
tcf(c_72,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_1(k1_latsubgr(X0))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f174]) ).
tcf(c_73,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f173]) ).
tcf(c_74,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f172]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v1_group_1(k8_group_2(X1,X0,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_76,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_group_2(k8_group_2(X1,X0,X2),X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f175]) ).
tcf(c_77,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| v1_group_1(k9_group_2(X1,X0,X2))
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tcf(c_78,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| m1_group_2(k9_group_2(X1,X0,X2),X1)
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_79,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f179]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ v3_struct_0(X0)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( v3_group_1(X0)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f181]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i] :
( l1_group_1(X0)
| v3_struct_0(X1)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f180]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_84,plain,
! [X0: $i] :
( v1_funct_1(u1_group_1(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f186]) ).
tcf(c_85,plain,
! [X0: $i] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f185]) ).
tcf(c_86,plain,
! [X0: $i] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_87,plain,
l1_group_1(sK4),
inference(cnf_transformation,[],[f187]) ).
tcf(c_88,plain,
l1_struct_0(sK5),
inference(cnf_transformation,[],[f188]) ).
tcf(c_89,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_group_2(sK6(X0),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(cnf_transformation,[],[f189]) ).
tcf(c_90,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK7(X0,X1),X0,X1),
inference(cnf_transformation,[],[f190]) ).
tcf(c_91,plain,
! [X0: $i] : m1_subset_1(sK8(X0),X0),
inference(cnf_transformation,[],[f191]) ).
tcf(c_92,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK9(X0,X1),X0,X1),
inference(cnf_transformation,[],[f192]) ).
tcf(c_93,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_xboole_0(k1_group_3(X0)) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_94,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(cnf_transformation,[],[f194]) ).
tcf(c_95,plain,
! [X0: $i] : ~ v1_xboole_0(k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f195]) ).
tcf(c_96,plain,
v1_xboole_0(k1_xboole_0),
inference(cnf_transformation,[],[f196]) ).
tcf(c_97,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(k2_zfmisc_1(X0,X1)) ),
inference(cnf_transformation,[],[f197]) ).
tcf(c_98,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) ) ),
inference(cnf_transformation,[],[f199]) ).
tcf(c_99,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) ) ),
inference(cnf_transformation,[],[f198]) ).
tcf(c_100,plain,
! [X0: $i] : k3_xboole_0(X0,X0) = X0,
inference(cnf_transformation,[],[f200]) ).
tcf(c_101,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f203]) ).
tcf(c_102,plain,
! [X0: $i,X1: $i] : v1_funct_1(sK10(X0,X1)),
inference(cnf_transformation,[],[f202]) ).
tcf(c_103,plain,
! [X0: $i,X1: $i] : v1_funct_2(sK10(X0,X1),X0,X1),
inference(cnf_transformation,[],[f201]) ).
tcf(c_104,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| m1_subset_1(sK11(X0),k1_zfmisc_1(X0)) ),
inference(cnf_transformation,[],[f205]) ).
tcf(c_105,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| ~ v1_xboole_0(sK11(X0)) ),
inference(cnf_transformation,[],[f204]) ).
tcf(c_106,plain,
v1_xboole_0(sK12),
inference(cnf_transformation,[],[f206]) ).
tcf(c_107,plain,
! [X0: $i,X1: $i] : m1_relset_1(sK13(X0,X1),X0,X1),
inference(cnf_transformation,[],[f208]) ).
tcf(c_109,plain,
! [X0: $i] : m1_subset_1(sK14(X0),k1_zfmisc_1(X0)),
inference(cnf_transformation,[],[f210]) ).
tcf(c_110,plain,
! [X0: $i] : v1_xboole_0(sK14(X0)),
inference(cnf_transformation,[],[f209]) ).
tcf(c_111,plain,
~ v1_xboole_0(sK15),
inference(cnf_transformation,[],[f211]) ).
tcf(c_112,plain,
l1_struct_0(sK16),
inference(cnf_transformation,[],[f213]) ).
tcf(c_113,plain,
~ v3_struct_0(sK16),
inference(cnf_transformation,[],[f212]) ).
tcf(c_114,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_struct_0(X0) ),
inference(cnf_transformation,[],[f215]) ).
tcf(c_115,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_struct_0(X0)
| ~ v1_xboole_0(sK17(X0)) ),
inference(cnf_transformation,[],[f214]) ).
tcf(c_116,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k9_group_2(X1,X0,X2) = k8_group_2(X1,X0,X2) )
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f216]) ).
tcf(c_117,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f218]) ).
tcf(c_118,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(cnf_transformation,[],[f217]) ).
tcf(c_119,plain,
! [X0: $i] : r1_tarski(X0,X0),
inference(cnf_transformation,[],[f219]) ).
tcf(c_120,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f220]) ).
tcf(c_121,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X1)
| ( k3_xboole_0(k1_funct_1(k1_latsubgr(X1),X0),k1_funct_1(k1_latsubgr(X1),X2)) = u1_struct_0(k9_group_2(X1,X0,X2)) )
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X2)
| ~ v1_group_1(X0)
| ~ m1_group_2(X2,X1)
| ~ m1_group_2(X0,X1) ),
inference(cnf_transformation,[],[f221]) ).
tcf(c_122,plain,
! [X0: $i] : k3_xboole_0(X0,k1_xboole_0) = k1_xboole_0,
inference(cnf_transformation,[],[f222]) ).
tcf(c_123,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| r2_hidden(X0,X1)
| ~ m1_subset_1(X0,X1) ),
inference(cnf_transformation,[],[f223]) ).
tcf(c_124,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(cnf_transformation,[],[f224]) ).
tcf(c_125,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X2,X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f225]) ).
tcf(c_126,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X2,X0)
| ~ m1_subset_1(X0,k1_zfmisc_1(X1)) ),
inference(cnf_transformation,[],[f226]) ).
tcf(c_127,plain,
! [X0: $i] :
( ( X0 = k1_xboole_0 )
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f227]) ).
tcf(c_128,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,X1) ),
inference(cnf_transformation,[],[f228]) ).
tcf(c_129,plain,
! [X0: $i,X1: $i] :
( ( X0 = X1 )
| ~ v1_xboole_0(X1)
| ~ v1_xboole_0(X0) ),
inference(cnf_transformation,[],[f229]) ).
tcf(c_163,plain,
( v3_struct_0(sK0)
| m1_group_2(sK6(sK0),sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_166,plain,
( v3_struct_0(sK0)
| v1_funct_1(k1_latsubgr(sK0))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(instantiation,[status(thm)],[c_72]) ).
tcf(c_168,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_xboole_0(k1_group_3(sK0)) ),
inference(instantiation,[status(thm)],[c_93]) ).
tcf(c_170,plain,
( v3_struct_0(sK0)
| m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(instantiation,[status(thm)],[c_74]) ).
tcf(c_171,plain,
( v3_struct_0(sK0)
| v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0)
| ~ v4_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(instantiation,[status(thm)],[c_73]) ).
tcf(c_189,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v4_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0) ),
inference(global_subsumption_just,[status(thm)],[c_69,c_72,c_74,c_73,c_69]) ).
tcf(c_190,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_funct_1(k1_latsubgr(X1),X0) = u1_struct_0(X0) )
| ~ l1_group_1(X1)
| ~ v4_group_1(X1)
| ~ v3_group_1(X1)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,X1) ),
inference(renaming,[status(thm)],[c_189]) ).
tcf(c_192,plain,
! [X0: $i,X1: $i,X2: $i] :
( ~ m1_relset_1(X0,X1,X2)
| m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_117]) ).
tcf(c_193,plain,
! [X0: $i,X1: $i,X2: $i] :
( m2_relset_1(X0,X1,X2)
| ~ m1_relset_1(X0,X1,X2) ),
inference(renaming,[status(thm)],[c_192]) ).
tcf(c_194,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_relset_1(X0,X1,X2)
| ~ m2_relset_1(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_118]) ).
tcf(c_196,plain,
! [X0: $i] :
( l1_struct_0(X0)
| ~ l1_group_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_79]) ).
tcf(c_200,plain,
! [X0: $i] :
( v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_85]) ).
tcf(c_202,plain,
! [X0: $i] :
( m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(prop_impl_just,[status(thm)],[c_86]) ).
tcf(c_228,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,k1_zfmisc_1(X1))
| ~ r1_tarski(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_124]) ).
tcf(c_362,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ~ v1_funct_2(X0,X1,X2) ),
inference(bin_hyper_res,[status(thm)],[c_62,c_194]) ).
tcf(c_1297,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_subset_1(X1,k1_zfmisc_1(X2))
| ( X0 != X2 )
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_119,c_228]) ).
tcf(c_1298,plain,
! [X0: $i] : m1_subset_1(X0,k1_zfmisc_1(X0)),
inference(unflattening,[status(thm)],[c_1297]) ).
tcf(c_1306,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v1_xboole_0(sK17(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_196,c_115]) ).
tcf(c_1307,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_xboole_0(sK17(X0)) ),
inference(unflattening,[status(thm)],[c_1306]) ).
tcf(c_1318,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| m1_subset_1(sK17(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ l1_group_1(X0)
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_196,c_114]) ).
tcf(c_1319,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0) ),
inference(unflattening,[status(thm)],[c_1318]) ).
tcf(c_1330,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ~ l1_group_1(X0)
| ~ v1_xboole_0(u1_struct_0(X1))
| ( X0 != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_196,c_94]) ).
tcf(c_1331,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v1_xboole_0(u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_1330]) ).
tcf(c_1342,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK17(X0))
| ( X0 != sK5 ) ),
inference(resolution_lifted,[status(thm)],[c_115,c_88]) ).
tcf(c_1343,plain,
( v3_struct_0(sK5)
| ~ v1_xboole_0(sK17(sK5)) ),
inference(unflattening,[status(thm)],[c_1342]) ).
tcf(c_1350,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK5 ) ),
inference(resolution_lifted,[status(thm)],[c_114,c_88]) ).
tcf(c_1351,plain,
( v3_struct_0(sK5)
| m1_subset_1(sK17(sK5),k1_zfmisc_1(u1_struct_0(sK5))) ),
inference(unflattening,[status(thm)],[c_1350]) ).
tcf(c_1358,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK5 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_88]) ).
tcf(c_1359,plain,
( v3_struct_0(sK5)
| ~ v1_xboole_0(u1_struct_0(sK5)) ),
inference(unflattening,[status(thm)],[c_1358]) ).
tcf(c_1366,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(sK17(X0))
| ( X0 != sK16 ) ),
inference(resolution_lifted,[status(thm)],[c_115,c_112]) ).
tcf(c_1367,plain,
( v3_struct_0(sK16)
| ~ v1_xboole_0(sK17(sK16)) ),
inference(unflattening,[status(thm)],[c_1366]) ).
tcf(c_1368,plain,
~ v1_xboole_0(sK17(sK16)),
inference(global_subsumption_just,[status(thm)],[c_1367,c_113,c_1367]) ).
tcf(c_1373,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m1_subset_1(sK17(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK16 ) ),
inference(resolution_lifted,[status(thm)],[c_114,c_112]) ).
tcf(c_1374,plain,
( v3_struct_0(sK16)
| m1_subset_1(sK17(sK16),k1_zfmisc_1(u1_struct_0(sK16))) ),
inference(unflattening,[status(thm)],[c_1373]) ).
tcf(c_1375,plain,
m1_subset_1(sK17(sK16),k1_zfmisc_1(u1_struct_0(sK16))),
inference(global_subsumption_just,[status(thm)],[c_1374,c_113,c_1374]) ).
tcf(c_1380,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ v1_xboole_0(u1_struct_0(X0))
| ( X0 != sK16 ) ),
inference(resolution_lifted,[status(thm)],[c_94,c_112]) ).
tcf(c_1381,plain,
( v3_struct_0(sK16)
| ~ v1_xboole_0(u1_struct_0(sK16)) ),
inference(unflattening,[status(thm)],[c_1380]) ).
tcf(c_1382,plain,
~ v1_xboole_0(u1_struct_0(sK16)),
inference(global_subsumption_just,[status(thm)],[c_1381,c_113,c_1381]) ).
tcf(c_1478,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(X2,X3,X4)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK10(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_193,c_101]) ).
tcf(c_1479,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(unflattening,[status(thm)],[c_1478]) ).
tcf(c_1520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X3 )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( X0 != X5 )
| ( sK10(X4,X5) != X1 )
| ( k2_zfmisc_1(X0,X0) != X4 )
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_99,c_101]) ).
tcf(c_1521,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK10(k2_zfmisc_1(X0,X0),X0) = X2 )
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ( g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)) != g1_group_1(X1,X2) ) ),
inference(unflattening,[status(thm)],[c_1520]) ).
tcf(c_1531,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK10(k2_zfmisc_1(X0,X0),X0) = X2 )
| ( g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)) != g1_group_1(X1,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1521,c_102,c_103]) ).
tcf(c_1535,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X1)
| ~ v1_funct_2(X1,k2_zfmisc_1(X0,X0),X0)
| ( X0 != X5 )
| ( sK10(X4,X5) != X1 )
| ( k2_zfmisc_1(X0,X0) != X4 )
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_101]) ).
tcf(c_1536,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ( g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)) != g1_group_1(X1,X2) ) ),
inference(unflattening,[status(thm)],[c_1535]) ).
tcf(c_1546,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)) != g1_group_1(X1,X2) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1536,c_102,c_103]) ).
tcf(c_1606,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l1_group_1(g1_group_1(X0,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ( X0 != X2 )
| ( sK10(X1,X2) != X3 )
| ( k2_zfmisc_1(X0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_101]) ).
tcf(c_1607,plain,
! [X0: $i] :
( l1_group_1(g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(unflattening,[status(thm)],[c_1606]) ).
tcf(c_1615,plain,
! [X0: $i] : l1_group_1(g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_1607,c_102,c_103]) ).
tcf(c_1618,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_group_1(g1_group_1(X0,X3))
| ~ v1_funct_1(X3)
| ~ v1_funct_2(X3,k2_zfmisc_1(X0,X0),X0)
| ( X0 != X2 )
| ( sK10(X1,X2) != X3 )
| ( k2_zfmisc_1(X0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_101]) ).
tcf(c_1619,plain,
! [X0: $i] :
( v1_group_1(g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ v1_funct_2(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(unflattening,[status(thm)],[c_1618]) ).
tcf(c_1627,plain,
! [X0: $i] : v1_group_1(g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0))),
inference(forward_subsumption_resolution,[status(thm)],[c_1619,c_102,c_103]) ).
tcf(c_1707,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_xboole_0(k1_group_3(X0))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_93]) ).
tcf(c_1708,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_xboole_0(k1_group_3(sK0)) ),
inference(unflattening,[status(thm)],[c_1707]) ).
tcf(c_1709,plain,
~ v1_xboole_0(k1_group_3(sK0)),
inference(global_subsumption_just,[status(thm)],[c_1708,c_57,c_56,c_55,c_54,c_168]) ).
tcf(c_1714,plain,
! [X0: $i] :
( v3_struct_0(X0)
| m2_relset_1(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_74]) ).
tcf(c_1715,plain,
( v3_struct_0(sK0)
| m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(unflattening,[status(thm)],[c_1714]) ).
tcf(c_1716,plain,
m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),
inference(global_subsumption_just,[status(thm)],[c_1715,c_57,c_56,c_55,c_54,c_170]) ).
tcf(c_1721,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v1_funct_2(k1_latsubgr(X0),k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_73]) ).
tcf(c_1722,plain,
( v3_struct_0(sK0)
| v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(unflattening,[status(thm)],[c_1721]) ).
tcf(c_1723,plain,
v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),
inference(global_subsumption_just,[status(thm)],[c_1722,c_57,c_56,c_55,c_54,c_171]) ).
tcf(c_1735,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| ( k1_funct_1(k1_latsubgr(X0),X1) = u1_struct_0(X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X1)
| ~ m1_group_2(X1,X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_190]) ).
tcf(c_1736,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| ( k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(unflattening,[status(thm)],[c_1735]) ).
tcf(c_1738,plain,
! [X0: $i] :
( ~ m1_group_2(X0,sK0)
| ~ v1_group_1(X0)
| ( k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_1736,c_57,c_55,c_54,c_1736]) ).
tcf(c_1739,plain,
! [X0: $i] :
( ( k1_funct_1(k1_latsubgr(sK0),X0) = u1_struct_0(X0) )
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(renaming,[status(thm)],[c_1738]) ).
tcf(c_1750,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k3_xboole_0(k1_funct_1(k1_latsubgr(X0),X1),k1_funct_1(k1_latsubgr(X0),X2)) = u1_struct_0(k9_group_2(X0,X1,X2)) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v1_group_1(X2)
| ~ v1_group_1(X1)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_121]) ).
tcf(c_1751,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| ( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),X1)) = u1_struct_0(k9_group_2(sK0,X0,X1)) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(X1)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(unflattening,[status(thm)],[c_1750]) ).
tcf(c_1753,plain,
! [X0: $i,X1: $i] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ~ v1_group_1(X0)
| ~ v1_group_1(X1)
| ( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),X1)) = u1_struct_0(k9_group_2(sK0,X0,X1)) ) ),
inference(global_subsumption_just,[status(thm)],[c_1751,c_57,c_55,c_54,c_1751]) ).
tcf(c_1754,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0(k1_funct_1(k1_latsubgr(sK0),X0),k1_funct_1(k1_latsubgr(sK0),X1)) = u1_struct_0(k9_group_2(sK0,X0,X1)) )
| ~ v1_group_1(X1)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(renaming,[status(thm)],[c_1753]) ).
tcf(c_1771,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k9_group_2(X0,X1,X2) = k8_group_2(X0,X1,X2) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_116]) ).
tcf(c_1772,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| ( k9_group_2(sK0,X0,X1) = k8_group_2(sK0,X0,X1) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(unflattening,[status(thm)],[c_1771]) ).
tcf(c_1774,plain,
! [X0: $i,X1: $i] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ( k9_group_2(sK0,X0,X1) = k8_group_2(sK0,X0,X1) ) ),
inference(global_subsumption_just,[status(thm)],[c_1772,c_57,c_55,c_54,c_1772]) ).
tcf(c_1775,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,X0,X1) = k8_group_2(sK0,X0,X1) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(renaming,[status(thm)],[c_1774]) ).
tcf(c_1786,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_group_2(k9_group_2(X0,X1,X2),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_78]) ).
tcf(c_1787,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| m1_group_2(k9_group_2(sK0,X0,X1),sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(unflattening,[status(thm)],[c_1786]) ).
tcf(c_1789,plain,
! [X0: $i,X1: $i] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| m1_group_2(k9_group_2(sK0,X0,X1),sK0) ),
inference(global_subsumption_just,[status(thm)],[c_1787,c_57,c_55,c_54,c_1787]) ).
tcf(c_1790,plain,
! [X0: $i,X1: $i] :
( m1_group_2(k9_group_2(sK0,X0,X1),sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(renaming,[status(thm)],[c_1789]) ).
tcf(c_1801,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| v1_group_1(k9_group_2(X0,X1,X2))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_77]) ).
tcf(c_1802,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| v1_group_1(k9_group_2(sK0,X0,X1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(unflattening,[status(thm)],[c_1801]) ).
tcf(c_1804,plain,
! [X0: $i,X1: $i] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| v1_group_1(k9_group_2(sK0,X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1802,c_57,c_55,c_54,c_1802]) ).
tcf(c_1805,plain,
! [X0: $i,X1: $i] :
( v1_group_1(k9_group_2(sK0,X0,X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(renaming,[status(thm)],[c_1804]) ).
tcf(c_1816,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| m1_group_2(k8_group_2(X0,X1,X2),X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_76]) ).
tcf(c_1817,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| m1_group_2(k8_group_2(sK0,X0,X1),sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(unflattening,[status(thm)],[c_1816]) ).
tcf(c_1819,plain,
! [X0: $i,X1: $i] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| m1_group_2(k8_group_2(sK0,X0,X1),sK0) ),
inference(global_subsumption_just,[status(thm)],[c_1817,c_57,c_55,c_54,c_1817]) ).
tcf(c_1820,plain,
! [X0: $i,X1: $i] :
( m1_group_2(k8_group_2(sK0,X0,X1),sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(renaming,[status(thm)],[c_1819]) ).
tcf(c_1831,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| v1_group_1(k8_group_2(X0,X1,X2))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_75]) ).
tcf(c_1832,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| v1_group_1(k8_group_2(sK0,X0,X1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(unflattening,[status(thm)],[c_1831]) ).
tcf(c_1834,plain,
! [X0: $i,X1: $i] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| v1_group_1(k8_group_2(sK0,X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_1832,c_57,c_55,c_54,c_1832]) ).
tcf(c_1835,plain,
! [X0: $i,X1: $i] :
( v1_group_1(k8_group_2(sK0,X0,X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(renaming,[status(thm)],[c_1834]) ).
tcf(c_1846,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| m1_group_2(sK3(X0,X1),X0)
| ( k1_latsubgr(X0) = X1 )
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_68]) ).
tcf(c_1847,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| m1_group_2(sK3(sK0,X0),sK0)
| ( k1_latsubgr(sK0) = X0 )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(unflattening,[status(thm)],[c_1846]) ).
tcf(c_1849,plain,
! [X0: $i] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(X0)
| ( k1_latsubgr(sK0) = X0 )
| m1_group_2(sK3(sK0,X0),sK0) ),
inference(global_subsumption_just,[status(thm)],[c_1847,c_57,c_55,c_54,c_1847]) ).
tcf(c_1850,plain,
! [X0: $i] :
( m1_group_2(sK3(sK0,X0),sK0)
| ( k1_latsubgr(sK0) = X0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(renaming,[status(thm)],[c_1849]) ).
tcf(c_1867,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X0)
| v1_group_1(sK3(X0,X1))
| ( k1_latsubgr(X0) = X1 )
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m2_relset_1(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ~ v1_funct_2(X1,k1_group_3(X0),k1_zfmisc_1(u1_struct_0(X0)))
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_67]) ).
tcf(c_1868,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| v1_group_1(sK3(sK0,X0))
| ( k1_latsubgr(sK0) = X0 )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(unflattening,[status(thm)],[c_1867]) ).
tcf(c_1870,plain,
! [X0: $i] :
( ~ v1_funct_2(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(X0)
| ( k1_latsubgr(sK0) = X0 )
| v1_group_1(sK3(sK0,X0)) ),
inference(global_subsumption_just,[status(thm)],[c_1868,c_57,c_55,c_54,c_1868]) ).
tcf(c_1871,plain,
! [X0: $i] :
( v1_group_1(sK3(sK0,X0))
| ( k1_latsubgr(sK0) = X0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(renaming,[status(thm)],[c_1870]) ).
tcf(c_1888,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(X1)
| ( k1_latsubgr(X1) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ v3_group_1(X1)
| ~ m2_relset_1(X0,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ~ v1_funct_2(X0,k1_group_3(X1),k1_zfmisc_1(u1_struct_0(X1)))
| ( X1 != sK0 )
| ( k1_funct_1(X0,sK3(X1,X0)) != u1_struct_0(sK3(X1,X0)) ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_66]) ).
tcf(c_1889,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| ( k1_latsubgr(sK0) = X0 )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_funct_1(X0,sK3(sK0,X0)) != u1_struct_0(sK3(sK0,X0)) ) ),
inference(unflattening,[status(thm)],[c_1888]) ).
tcf(c_1891,plain,
! [X0: $i] :
( ( k1_funct_1(X0,sK3(sK0,X0)) != u1_struct_0(sK3(sK0,X0)) )
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_1(X0)
| ( k1_latsubgr(sK0) = X0 ) ),
inference(global_subsumption_just,[status(thm)],[c_1889,c_57,c_55,c_54,c_1889]) ).
tcf(c_1892,plain,
! [X0: $i] :
( ( k1_latsubgr(sK0) = X0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_funct_2(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_funct_1(X0,sK3(sK0,X0)) != u1_struct_0(sK3(sK0,X0)) ) ),
inference(renaming,[status(thm)],[c_1891]) ).
tcf(c_1909,plain,
! [X0: $i,X1: $i,X2: $i] :
( v3_struct_0(X0)
| ( k9_group_2(X0,X1,X2) = k9_group_2(X0,X2,X1) )
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ m1_group_2(X2,X0)
| ~ m1_group_2(X1,X0)
| ( X0 != sK0 ) ),
inference(resolution_lifted,[status(thm)],[c_56,c_65]) ).
tcf(c_1910,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| ( k9_group_2(sK0,X0,X1) = k9_group_2(sK0,X1,X0) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(unflattening,[status(thm)],[c_1909]) ).
tcf(c_1912,plain,
! [X0: $i,X1: $i] :
( ~ m1_group_2(X0,sK0)
| ~ m1_group_2(X1,sK0)
| ( k9_group_2(sK0,X0,X1) = k9_group_2(sK0,X1,X0) ) ),
inference(global_subsumption_just,[status(thm)],[c_1910,c_57,c_55,c_54,c_1910]) ).
tcf(c_1913,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,X0,X1) = k9_group_2(sK0,X1,X0) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(renaming,[status(thm)],[c_1912]) ).
tcf(c_2000,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ v1_funct_2(X1,X2,X3)
| ( u1_group_1(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_362,c_202]) ).
tcf(c_2001,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ v1_funct_2(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_2000]) ).
tcf(c_2003,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v1_xboole_0(u1_group_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2001,c_84,c_85,c_2001]) ).
tcf(c_2018,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_relset_1(X1,X2,X3)
| ~ l1_group_1(X0)
| ( u1_group_1(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_194,c_202]) ).
tcf(c_2019,plain,
! [X0: $i] :
( m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ~ l1_group_1(X0) ),
inference(unflattening,[status(thm)],[c_2018]) ).
tcf(c_2066,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ v1_funct_2(X0,X1,X2)
| ( k1_group_3(sK0) != X1 )
| ( k1_latsubgr(sK0) != X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_362,c_1716]) ).
tcf(c_2067,plain,
( v1_xboole_0(k1_group_3(sK0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_xboole_0(k1_latsubgr(sK0))
| ~ v1_funct_1(k1_latsubgr(sK0))
| ~ v1_funct_2(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(unflattening,[status(thm)],[c_2066]) ).
tcf(c_2068,plain,
( ~ v1_xboole_0(k1_latsubgr(sK0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2067,c_57,c_56,c_55,c_54,c_166,c_168,c_171,c_2067]) ).
tcf(c_2069,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_xboole_0(k1_latsubgr(sK0)) ),
inference(renaming,[status(thm)],[c_2068]) ).
tcf(c_2074,plain,
~ v1_xboole_0(k1_latsubgr(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_2069,c_95]) ).
tcf(c_2331,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_xboole_0(X3)
| v1_xboole_0(X2)
| ~ v1_xboole_0(X1)
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ m2_relset_1(X1,X2,X3)
| ( u1_group_1(X0) != X1 )
| ( u1_struct_0(X0) != X3 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_362,c_200]) ).
tcf(c_2332,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v1_xboole_0(u1_group_1(X0))
| ~ v1_funct_1(u1_group_1(X0))
| ~ m2_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0)) ),
inference(unflattening,[status(thm)],[c_2331]) ).
tcf(c_2334,plain,
! [X0: $i] :
( v1_xboole_0(u1_struct_0(X0))
| v1_xboole_0(k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)))
| ~ l1_group_1(X0)
| ~ v1_xboole_0(u1_group_1(X0)) ),
inference(global_subsumption_just,[status(thm)],[c_2332,c_2003]) ).
tcf(c_2348,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( v1_xboole_0(X4)
| v1_xboole_0(X3)
| ~ v1_xboole_0(X2)
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,X3,X4)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK10(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_362,c_103]) ).
tcf(c_2349,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(sK10(X0,X1))
| ~ v1_funct_1(sK10(X0,X1))
| ~ m2_relset_1(sK10(X0,X1),X0,X1) ),
inference(unflattening,[status(thm)],[c_2348]) ).
tcf(c_2351,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| v1_xboole_0(X0)
| ~ v1_xboole_0(sK10(X0,X1)) ),
inference(global_subsumption_just,[status(thm)],[c_2349,c_102,c_1479,c_2349]) ).
tcf(c_2363,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(X2)
| v1_xboole_0(X1)
| ~ v1_xboole_0(X0)
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,X1,X2)
| ( k1_group_3(sK0) != X1 )
| ( k1_latsubgr(sK0) != X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_362,c_1723]) ).
tcf(c_2364,plain,
( v1_xboole_0(k1_group_3(sK0))
| v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK0)))
| ~ v1_xboole_0(k1_latsubgr(sK0))
| ~ v1_funct_1(k1_latsubgr(sK0))
| ~ m2_relset_1(k1_latsubgr(sK0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(unflattening,[status(thm)],[c_2363]) ).
tcf(c_2365,plain,
~ v1_xboole_0(k1_latsubgr(sK0)),
inference(global_subsumption_just,[status(thm)],[c_2364,c_2074]) ).
tcf(c_2370,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X1 = X3 )
| ~ v1_funct_1(X1)
| ~ l1_group_1(X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( u1_group_1(X4) != X1 )
| ( u1_struct_0(X4) != X0 )
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ( k2_zfmisc_1(u1_struct_0(X4),u1_struct_0(X4)) != k2_zfmisc_1(X0,X0) ) ),
inference(resolution_lifted,[status(thm)],[c_99,c_200]) ).
tcf(c_2371,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_group_1(X0) = X2 )
| ~ l1_group_1(X0)
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) )
| ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) != g1_group_1(X1,X2) ) ),
inference(unflattening,[status(thm)],[c_2370]) ).
tcf(c_2373,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_group_1(X0) = X2 )
| ~ l1_group_1(X0)
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) )
| ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) != g1_group_1(X1,X2) ) ),
inference(global_subsumption_just,[status(thm)],[c_2371,c_84,c_2019,c_2371]) ).
tcf(c_2388,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X1)
| ~ l1_group_1(X4)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( u1_group_1(X4) != X1 )
| ( u1_struct_0(X4) != X0 )
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) )
| ( k2_zfmisc_1(u1_struct_0(X4),u1_struct_0(X4)) != k2_zfmisc_1(X0,X0) ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_200]) ).
tcf(c_2389,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(X0) = X1 )
| ~ l1_group_1(X0)
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) )
| ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) != g1_group_1(X1,X2) ) ),
inference(unflattening,[status(thm)],[c_2388]) ).
tcf(c_2391,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(X0) = X1 )
| ~ l1_group_1(X0)
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) )
| ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) != g1_group_1(X1,X2) ) ),
inference(global_subsumption_just,[status(thm)],[c_2389,c_84,c_2019,c_2389]) ).
tcf(c_2406,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X1 = X3 )
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( X0 != X5 )
| ( sK10(X4,X5) != X1 )
| ( k2_zfmisc_1(X0,X0) != X4 )
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_99,c_103]) ).
tcf(c_2407,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK10(k2_zfmisc_1(X0,X0),X0) = X2 )
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ( g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)) != g1_group_1(X1,X2) ) ),
inference(unflattening,[status(thm)],[c_2406]) ).
tcf(c_2409,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sK10(k2_zfmisc_1(X0,X0),X0) = X2 )
| ( g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)) != g1_group_1(X1,X2) ) ),
inference(global_subsumption_just,[status(thm)],[c_2407,c_1531]) ).
tcf(c_2417,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( X0 != X5 )
| ( sK10(X4,X5) != X1 )
| ( k2_zfmisc_1(X0,X0) != X4 )
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_103]) ).
tcf(c_2418,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0)
| ( g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)) != g1_group_1(X1,X2) ) ),
inference(unflattening,[status(thm)],[c_2417]) ).
tcf(c_2419,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X0 = X1 )
| ( g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)) != g1_group_1(X1,X2) ) ),
inference(global_subsumption_just,[status(thm)],[c_2418,c_1546]) ).
tcf(c_2427,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X1 = X3 )
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k1_latsubgr(sK0) != X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X0 )
| ( k2_zfmisc_1(X0,X0) != k1_group_3(sK0) )
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_99,c_1723]) ).
tcf(c_2428,plain,
! [X0: $i,X1: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ~ v1_funct_1(k1_latsubgr(sK0))
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2427]) ).
tcf(c_2430,plain,
! [X0: $i,X1: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2428,c_57,c_56,c_55,c_54,c_166,c_2428]) ).
tcf(c_2431,plain,
! [X0: $i,X1: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(renaming,[status(thm)],[c_2430]) ).
tcf(c_2445,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( X0 = X2 )
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k1_latsubgr(sK0) != X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X0 )
| ( k2_zfmisc_1(X0,X0) != k1_group_3(sK0) )
| ( g1_group_1(X0,X1) != g1_group_1(X2,X3) ) ),
inference(resolution_lifted,[status(thm)],[c_98,c_1723]) ).
tcf(c_2446,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ~ v1_funct_1(k1_latsubgr(sK0))
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2445]) ).
tcf(c_2448,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2446,c_57,c_56,c_55,c_54,c_166,c_2446]) ).
tcf(c_2449,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(renaming,[status(thm)],[c_2448]) ).
tcf(c_2463,plain,
! [X0: $i,X1: $i,X2: $i] :
( l1_group_1(g1_group_1(X1,X2))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ( u1_group_1(X0) != X2 )
| ( u1_struct_0(X0) != X1 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(X1,X1) ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_200]) ).
tcf(c_2464,plain,
! [X0: $i] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ l1_group_1(X0)
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) ) ),
inference(unflattening,[status(thm)],[c_2463]) ).
tcf(c_2466,plain,
! [X0: $i] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ l1_group_1(X0)
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) ) ),
inference(global_subsumption_just,[status(thm)],[c_2464,c_84,c_2019,c_2464]) ).
tcf(c_2478,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_group_1(g1_group_1(X1,X2))
| ~ v1_funct_1(X2)
| ~ l1_group_1(X0)
| ~ m1_relset_1(X2,k2_zfmisc_1(X1,X1),X1)
| ( u1_group_1(X0) != X2 )
| ( u1_struct_0(X0) != X1 )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(X1,X1) ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_200]) ).
tcf(c_2479,plain,
! [X0: $i] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ l1_group_1(X0)
| ~ v1_funct_1(u1_group_1(X0))
| ~ m1_relset_1(u1_group_1(X0),k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)),u1_struct_0(X0))
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) ) ),
inference(unflattening,[status(thm)],[c_2478]) ).
tcf(c_2481,plain,
! [X0: $i] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ l1_group_1(X0)
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) ) ),
inference(global_subsumption_just,[status(thm)],[c_2479,c_84,c_2019,c_2479]) ).
tcf(c_2493,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( l1_group_1(g1_group_1(X0,X3))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ( X0 != X2 )
| ( sK10(X1,X2) != X3 )
| ( k2_zfmisc_1(X0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_103]) ).
tcf(c_2494,plain,
! [X0: $i] :
( l1_group_1(g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(unflattening,[status(thm)],[c_2493]) ).
tcf(c_2495,plain,
! [X0: $i] : l1_group_1(g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0))),
inference(global_subsumption_just,[status(thm)],[c_2494,c_1615]) ).
tcf(c_2500,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( v1_group_1(g1_group_1(X0,X3))
| ~ v1_funct_1(X3)
| ~ m1_relset_1(X3,k2_zfmisc_1(X0,X0),X0)
| ( X0 != X2 )
| ( sK10(X1,X2) != X3 )
| ( k2_zfmisc_1(X0,X0) != X1 ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_103]) ).
tcf(c_2501,plain,
! [X0: $i] :
( v1_group_1(g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0)))
| ~ v1_funct_1(sK10(k2_zfmisc_1(X0,X0),X0))
| ~ m1_relset_1(sK10(k2_zfmisc_1(X0,X0),X0),k2_zfmisc_1(X0,X0),X0) ),
inference(unflattening,[status(thm)],[c_2500]) ).
tcf(c_2502,plain,
! [X0: $i] : v1_group_1(g1_group_1(X0,sK10(k2_zfmisc_1(X0,X0),X0))),
inference(global_subsumption_just,[status(thm)],[c_2501,c_1627]) ).
tcf(c_2507,plain,
! [X0: $i,X1: $i] :
( l1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k1_latsubgr(sK0) != X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X0 )
| ( k2_zfmisc_1(X0,X0) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_71,c_1723]) ).
tcf(c_2508,plain,
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ~ v1_funct_1(k1_latsubgr(sK0))
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2507]) ).
tcf(c_2509,plain,
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2508,c_57,c_56,c_55,c_54,c_166,c_2508]) ).
tcf(c_2510,plain,
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(renaming,[status(thm)],[c_2509]) ).
tcf(c_2520,plain,
! [X0: $i,X1: $i] :
( v1_group_1(g1_group_1(X0,X1))
| ~ v1_funct_1(X1)
| ~ m1_relset_1(X1,k2_zfmisc_1(X0,X0),X0)
| ( k1_latsubgr(sK0) != X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X0 )
| ( k2_zfmisc_1(X0,X0) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_70,c_1723]) ).
tcf(c_2521,plain,
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ~ v1_funct_1(k1_latsubgr(sK0))
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2520]) ).
tcf(c_2522,plain,
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2521,c_57,c_56,c_55,c_54,c_166,c_2521]) ).
tcf(c_2523,plain,
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ~ m1_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(renaming,[status(thm)],[c_2522]) ).
tcf(c_2533,plain,
! [X0: $i,X1: $i] :
( ( k1_latsubgr(sK0) = X0 )
| ~ v1_funct_1(X0)
| ~ l1_group_1(X1)
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( u1_group_1(X1) != X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X1) )
| ( k2_zfmisc_1(u1_struct_0(X1),u1_struct_0(X1)) != k1_group_3(sK0) )
| ( k1_funct_1(X0,sK3(sK0,X0)) != u1_struct_0(sK3(sK0,X0)) ) ),
inference(resolution_lifted,[status(thm)],[c_200,c_1892]) ).
tcf(c_2534,plain,
! [X0: $i] :
( ( k1_latsubgr(sK0) = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ~ v1_funct_1(u1_group_1(X0))
| ~ m2_relset_1(u1_group_1(X0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) )
| ( k1_funct_1(u1_group_1(X0),sK3(sK0,u1_group_1(X0))) != u1_struct_0(sK3(sK0,u1_group_1(X0))) ) ),
inference(unflattening,[status(thm)],[c_2533]) ).
tcf(c_2536,plain,
! [X0: $i] :
( ( k1_latsubgr(sK0) = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ( k1_funct_1(u1_group_1(X0),sK3(sK0,u1_group_1(X0))) != u1_struct_0(sK3(sK0,u1_group_1(X0))) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ~ m2_relset_1(u1_group_1(X0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2534,c_84,c_2534]) ).
tcf(c_2537,plain,
! [X0: $i] :
( ( k1_latsubgr(sK0) = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ~ m2_relset_1(u1_group_1(X0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) )
| ( k1_funct_1(u1_group_1(X0),sK3(sK0,u1_group_1(X0))) != u1_struct_0(sK3(sK0,u1_group_1(X0))) ) ),
inference(renaming,[status(thm)],[c_2536]) ).
tcf(c_2557,plain,
! [X0: $i,X1: $i] :
( v1_group_1(sK3(sK0,X1))
| ( k1_latsubgr(sK0) = X1 )
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( u1_group_1(X0) != X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_200,c_1871]) ).
tcf(c_2558,plain,
! [X0: $i] :
( v1_group_1(sK3(sK0,u1_group_1(X0)))
| ( k1_latsubgr(sK0) = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ~ v1_funct_1(u1_group_1(X0))
| ~ m2_relset_1(u1_group_1(X0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2557]) ).
tcf(c_2560,plain,
! [X0: $i] :
( v1_group_1(sK3(sK0,u1_group_1(X0)))
| ( k1_latsubgr(sK0) = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ~ m2_relset_1(u1_group_1(X0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2558,c_84,c_2558]) ).
tcf(c_2561,plain,
! [X0: $i] :
( v1_group_1(sK3(sK0,u1_group_1(X0)))
| ( k1_latsubgr(sK0) = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ~ m2_relset_1(u1_group_1(X0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) ) ),
inference(renaming,[status(thm)],[c_2560]) ).
tcf(c_2581,plain,
! [X0: $i,X1: $i] :
( m1_group_2(sK3(sK0,X1),sK0)
| ( k1_latsubgr(sK0) = X1 )
| ~ v1_funct_1(X1)
| ~ l1_group_1(X0)
| ~ m2_relset_1(X1,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( u1_group_1(X0) != X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_200,c_1850]) ).
tcf(c_2582,plain,
! [X0: $i] :
( m1_group_2(sK3(sK0,u1_group_1(X0)),sK0)
| ( k1_latsubgr(sK0) = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ~ v1_funct_1(u1_group_1(X0))
| ~ m2_relset_1(u1_group_1(X0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2581]) ).
tcf(c_2584,plain,
! [X0: $i] :
( m1_group_2(sK3(sK0,u1_group_1(X0)),sK0)
| ( k1_latsubgr(sK0) = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ~ m2_relset_1(u1_group_1(X0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(global_subsumption_just,[status(thm)],[c_2582,c_84,c_2582]) ).
tcf(c_2585,plain,
! [X0: $i] :
( m1_group_2(sK3(sK0,u1_group_1(X0)),sK0)
| ( k1_latsubgr(sK0) = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ~ m2_relset_1(u1_group_1(X0),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != k1_group_3(sK0) ) ),
inference(renaming,[status(thm)],[c_2584]) ).
tcf(c_2605,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k1_latsubgr(sK0) = X0 )
| ~ v1_funct_1(X0)
| ~ m2_relset_1(X0,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_group_3(sK0) != X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X2 )
| ( sK10(X1,X2) != X0 )
| ( k1_funct_1(X0,sK3(sK0,X0)) != u1_struct_0(sK3(sK0,X0)) ) ),
inference(resolution_lifted,[status(thm)],[c_103,c_1892]) ).
tcf(c_2606,plain,
( ( k1_latsubgr(sK0) = sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ v1_funct_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))))
| ~ m2_relset_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_funct_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))))) != u1_struct_0(sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))))) ) ),
inference(unflattening,[status(thm)],[c_2605]) ).
tcf(c_2615,plain,
( ( k1_latsubgr(sK0) = sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ m2_relset_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_funct_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))))) != u1_struct_0(sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))))) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2606,c_102]) ).
tcf(c_2619,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_group_1(sK3(sK0,X2))
| ( k1_latsubgr(sK0) = X2 )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_group_3(sK0) != X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 )
| ( sK10(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_103,c_1871]) ).
tcf(c_2620,plain,
( v1_group_1(sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))))
| ( k1_latsubgr(sK0) = sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ v1_funct_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))))
| ~ m2_relset_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(unflattening,[status(thm)],[c_2619]) ).
tcf(c_2629,plain,
( v1_group_1(sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))))
| ( k1_latsubgr(sK0) = sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ m2_relset_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2620,c_102]) ).
tcf(c_2633,plain,
! [X0: $i,X1: $i,X2: $i] :
( m1_group_2(sK3(sK0,X2),sK0)
| ( k1_latsubgr(sK0) = X2 )
| ~ v1_funct_1(X2)
| ~ m2_relset_1(X2,k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k1_group_3(sK0) != X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 )
| ( sK10(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_103,c_1850]) ).
tcf(c_2634,plain,
( m1_group_2(sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))),sK0)
| ( k1_latsubgr(sK0) = sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ v1_funct_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))))
| ~ m2_relset_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(unflattening,[status(thm)],[c_2633]) ).
tcf(c_2643,plain,
( m1_group_2(sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))),sK0)
| ( k1_latsubgr(sK0) = sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) )
| ~ m2_relset_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2634,c_102]) ).
tcf(c_2724,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(X2,X3,X4)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK7(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_193,c_90]) ).
tcf(c_2725,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK7(X0,X1),X0,X1),
inference(unflattening,[status(thm)],[c_2724]) ).
tcf(c_2729,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(X2,X3,X4)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK10(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_193,c_101]) ).
tcf(c_2730,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK10(X0,X1),X0,X1),
inference(unflattening,[status(thm)],[c_2729]) ).
tcf(c_2734,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( m2_relset_1(X2,X3,X4)
| ( X1 != X4 )
| ( X0 != X3 )
| ( sK13(X0,X1) != X2 ) ),
inference(resolution_lifted,[status(thm)],[c_193,c_107]) ).
tcf(c_2735,plain,
! [X0: $i,X1: $i] : m2_relset_1(sK13(X0,X1),X0,X1),
inference(unflattening,[status(thm)],[c_2734]) ).
tcf(c_2739,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ~ m2_relset_1(X0,X1,X2)
| ( k1_latsubgr(sK0) != X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X2 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X1 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_194,c_2523]) ).
tcf(c_2740,plain,
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ~ m2_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2739]) ).
tcf(c_2750,plain,
! [X0: $i,X1: $i,X2: $i] :
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ~ m2_relset_1(X0,X1,X2)
| ( k1_latsubgr(sK0) != X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X2 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X1 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_194,c_2510]) ).
tcf(c_2751,plain,
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ~ m2_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2750]) ).
tcf(c_2761,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ~ m2_relset_1(X2,X3,X4)
| ( k1_latsubgr(sK0) != X2 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X4 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X3 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_194,c_2449]) ).
tcf(c_2762,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ~ m2_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2761]) ).
tcf(c_2776,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ~ m2_relset_1(X2,X3,X4)
| ( k1_latsubgr(sK0) != X2 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X4 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X3 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_194,c_2431]) ).
tcf(c_2777,plain,
! [X0: $i,X1: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ~ m2_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(unflattening,[status(thm)],[c_2776]) ).
tcf(c_2791,plain,
! [X0: $i,X1: $i] :
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 )
| ( sK7(X0,X1) != k1_latsubgr(sK0) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X0 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_2523]) ).
tcf(c_2792,plain,
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK7(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2791]) ).
tcf(c_2802,plain,
! [X0: $i,X1: $i] :
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 )
| ( sK7(X0,X1) != k1_latsubgr(sK0) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X0 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_2510]) ).
tcf(c_2803,plain,
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK7(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2802]) ).
tcf(c_2813,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X3 )
| ( sK7(X2,X3) != k1_latsubgr(sK0) )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X2 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_2449]) ).
tcf(c_2814,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK7(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2813]) ).
tcf(c_2828,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X3 )
| ( sK7(X2,X3) != k1_latsubgr(sK0) )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X2 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_90,c_2431]) ).
tcf(c_2829,plain,
! [X0: $i,X1: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK7(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2828]) ).
tcf(c_2843,plain,
! [X0: $i,X1: $i] :
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 )
| ( sK10(X0,X1) != k1_latsubgr(sK0) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X0 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_2523]) ).
tcf(c_2844,plain,
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK10(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2843]) ).
tcf(c_2854,plain,
! [X0: $i,X1: $i] :
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 )
| ( sK10(X0,X1) != k1_latsubgr(sK0) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X0 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_2510]) ).
tcf(c_2855,plain,
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK10(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2854]) ).
tcf(c_2865,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X3 )
| ( sK10(X2,X3) != k1_latsubgr(sK0) )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X2 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_2449]) ).
tcf(c_2866,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK10(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2865]) ).
tcf(c_2880,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X3 )
| ( sK10(X2,X3) != k1_latsubgr(sK0) )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X2 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_101,c_2431]) ).
tcf(c_2881,plain,
! [X0: $i,X1: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK10(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2880]) ).
tcf(c_2895,plain,
! [X0: $i,X1: $i] :
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 )
| ( sK13(X0,X1) != k1_latsubgr(sK0) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X0 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_2523]) ).
tcf(c_2896,plain,
( v1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK13(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2895]) ).
tcf(c_2906,plain,
! [X0: $i,X1: $i] :
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X1 )
| ( sK13(X0,X1) != k1_latsubgr(sK0) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X0 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_2510]) ).
tcf(c_2907,plain,
( l1_group_1(g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK13(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2906]) ).
tcf(c_2917,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X3 )
| ( sK13(X2,X3) != k1_latsubgr(sK0) )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X2 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_2449]) ).
tcf(c_2918,plain,
! [X0: $i,X1: $i] :
( ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK13(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2917]) ).
tcf(c_2932,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ( k1_zfmisc_1(u1_struct_0(sK0)) != X3 )
| ( sK13(X2,X3) != k1_latsubgr(sK0) )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != X2 )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(resolution_lifted,[status(thm)],[c_107,c_2431]) ).
tcf(c_2933,plain,
! [X0: $i,X1: $i] :
( ( k1_latsubgr(sK0) = X1 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) )
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK13(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(unflattening,[status(thm)],[c_2932]) ).
tcf(c_2949,plain,
( ( k1_latsubgr(sK0) = sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) )
| ( k1_funct_1(sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))),sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))))) != u1_struct_0(sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))))) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2615,c_2730]) ).
tcf(c_2950,plain,
( v1_group_1(sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))))
| ( k1_latsubgr(sK0) = sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2629,c_2730]) ).
tcf(c_2951,plain,
( m1_group_2(sK3(sK0,sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0)))),sK0)
| ( k1_latsubgr(sK0) = sK10(k1_group_3(sK0),k1_zfmisc_1(u1_struct_0(sK0))) ) ),
inference(backward_subsumption_resolution,[status(thm)],[c_2643,c_2730]) ).
tcf(c_3773,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_10
| ( k1_latsubgr(sK0) = X1 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_10])],[c_2933]) ).
tcf(c_3774,plain,
( iPr_def_10
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK13(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2933]) ).
tcf(c_3775,plain,
! [X0: $i,X1: $i] :
( ~ iPr_def_11
| ( k1_zfmisc_1(u1_struct_0(sK0)) = X0 )
| ( g1_group_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_latsubgr(sK0)) != g1_group_1(X0,X1) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_2918]) ).
tcf(c_3776,plain,
( iPr_def_11
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK13(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2918]) ).
tcf(c_3777,plain,
( iPr_def_10
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK10(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2881]) ).
tcf(c_3778,plain,
( iPr_def_11
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK10(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2866]) ).
tcf(c_3779,plain,
( iPr_def_10
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK7(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2829]) ).
tcf(c_3780,plain,
( iPr_def_11
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) )
| ( sK7(k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0))) != k1_latsubgr(sK0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2814]) ).
tcf(c_3781,plain,
( iPr_def_10
| ~ m2_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2777]) ).
tcf(c_3782,plain,
( iPr_def_11
| ~ m2_relset_1(k1_latsubgr(sK0),k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))),k1_zfmisc_1(u1_struct_0(sK0)))
| ( k2_zfmisc_1(k1_zfmisc_1(u1_struct_0(sK0)),k1_zfmisc_1(u1_struct_0(sK0))) != k1_group_3(sK0) ) ),
inference(splitting,[splitting(split),new_symbols(definition,[])],[c_2762]) ).
tcf(c_3783,definition,
iPr_def_12 = k1_latsubgr(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_12])],[]) ).
tcf(c_3784,definition,
iPr_def_13 = k1_group_3(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_13])],[]) ).
tcf(c_3785,definition,
iPr_def_14 = u1_struct_0(sK0),
introduced(definition,[new_symbols(definition,[iPr_def_14])],[]) ).
tcf(c_3786,definition,
iPr_def_15 = k1_zfmisc_1(iPr_def_14),
introduced(definition,[new_symbols(definition,[iPr_def_15])],[]) ).
tcf(c_3787,definition,
iPr_def_16 = sK10(iPr_def_13,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_16])],[]) ).
tcf(c_3788,definition,
iPr_def_17 = sK3(sK0,iPr_def_16),
introduced(definition,[new_symbols(definition,[iPr_def_17])],[]) ).
tcf(c_3789,definition,
iPr_def_18 = k1_funct_1(iPr_def_16,iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_18])],[]) ).
tcf(c_3790,definition,
iPr_def_19 = u1_struct_0(iPr_def_17),
introduced(definition,[new_symbols(definition,[iPr_def_19])],[]) ).
tcf(c_3791,definition,
iPr_def_20 = k2_zfmisc_1(iPr_def_15,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_20])],[]) ).
tcf(c_3792,definition,
iPr_def_21 = sK13(iPr_def_20,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_21])],[]) ).
tcf(c_3793,definition,
iPr_def_22 = g1_group_1(iPr_def_15,iPr_def_12),
introduced(definition,[new_symbols(definition,[iPr_def_22])],[]) ).
tcf(c_3794,definition,
iPr_def_23 = sK10(iPr_def_20,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_23])],[]) ).
tcf(c_3795,definition,
iPr_def_24 = sK7(iPr_def_20,iPr_def_15),
introduced(definition,[new_symbols(definition,[iPr_def_24])],[]) ).
tcf(c_3796,definition,
iPr_def_25 = k1_funct_1(iPr_def_12,sK1),
introduced(definition,[new_symbols(definition,[iPr_def_25])],[]) ).
tcf(c_3797,definition,
iPr_def_26 = k1_funct_1(iPr_def_12,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_26])],[]) ).
tcf(c_3798,definition,
iPr_def_27 = k3_xboole_0(iPr_def_25,iPr_def_26),
introduced(definition,[new_symbols(definition,[iPr_def_27])],[]) ).
tcf(c_3799,definition,
iPr_def_28 = k9_group_2(sK0,sK1,sK2),
introduced(definition,[new_symbols(definition,[iPr_def_28])],[]) ).
tcf(c_3800,definition,
iPr_def_29 = k1_funct_1(iPr_def_12,iPr_def_28),
introduced(definition,[new_symbols(definition,[iPr_def_29])],[]) ).
tcf(c_3801,plain,
( m1_group_2(iPr_def_17,sK0)
| ( iPr_def_12 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_2951,c_3788,c_3785,c_3786,c_3784,c_3787,c_3783]) ).
tcf(c_3802,plain,
( v1_group_1(iPr_def_17)
| ( iPr_def_12 = iPr_def_16 ) ),
inference(demodulation,[status(thm)],[c_2950]) ).
tcf(c_3803,plain,
( ( iPr_def_12 = iPr_def_16 )
| ( iPr_def_18 != iPr_def_19 ) ),
inference(demodulation,[status(thm)],[c_2949,c_3790,c_3789]) ).
tcf(c_3804,plain,
( iPr_def_10
| ( iPr_def_21 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3774,c_3791,c_3792]) ).
tcf(c_3806,plain,
( iPr_def_11
| ( iPr_def_21 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3776]) ).
tcf(c_3808,plain,
( l1_group_1(iPr_def_22)
| ( iPr_def_21 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2907]) ).
tcf(c_3809,plain,
( v1_group_1(iPr_def_22)
| ( iPr_def_21 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2896]) ).
tcf(c_3810,plain,
( iPr_def_10
| ( iPr_def_23 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3777,c_3794]) ).
tcf(c_3812,plain,
( iPr_def_11
| ( iPr_def_23 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3778]) ).
tcf(c_3814,plain,
( l1_group_1(iPr_def_22)
| ( iPr_def_23 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2855]) ).
tcf(c_3815,plain,
( v1_group_1(iPr_def_22)
| ( iPr_def_23 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2844]) ).
tcf(c_3816,plain,
( iPr_def_10
| ( iPr_def_24 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3779,c_3795]) ).
tcf(c_3818,plain,
( iPr_def_11
| ( iPr_def_24 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3780]) ).
tcf(c_3820,plain,
( l1_group_1(iPr_def_22)
| ( iPr_def_24 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2803]) ).
tcf(c_3821,plain,
( v1_group_1(iPr_def_22)
| ( iPr_def_24 != iPr_def_12 )
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2792]) ).
tcf(c_3822,plain,
( iPr_def_10
| ~ m2_relset_1(iPr_def_12,iPr_def_20,iPr_def_15)
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3781]) ).
tcf(c_3823,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_12 = X1 )
| ~ iPr_def_10
| ( iPr_def_22 != g1_group_1(X0,X1) ) ),
inference(demodulation,[status(thm)],[c_3773]) ).
tcf(c_3824,plain,
( iPr_def_11
| ~ m2_relset_1(iPr_def_12,iPr_def_20,iPr_def_15)
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_3782]) ).
tcf(c_3825,plain,
! [X0: $i,X1: $i] :
( ( iPr_def_15 = X0 )
| ~ iPr_def_11
| ( iPr_def_22 != g1_group_1(X0,X1) ) ),
inference(demodulation,[status(thm)],[c_3775]) ).
tcf(c_3826,plain,
( l1_group_1(iPr_def_22)
| ~ m2_relset_1(iPr_def_12,iPr_def_20,iPr_def_15)
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2751]) ).
tcf(c_3827,plain,
( v1_group_1(iPr_def_22)
| ~ m2_relset_1(iPr_def_12,iPr_def_20,iPr_def_15)
| ( iPr_def_20 != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2740]) ).
tcf(c_3828,plain,
! [X0: $i] :
( m1_group_2(sK3(sK0,u1_group_1(X0)),sK0)
| ( iPr_def_12 = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ~ m2_relset_1(u1_group_1(X0),iPr_def_13,iPr_def_15)
| ( iPr_def_15 != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2585]) ).
tcf(c_3829,plain,
! [X0: $i] :
( v1_group_1(sK3(sK0,u1_group_1(X0)))
| ( iPr_def_12 = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ~ m2_relset_1(u1_group_1(X0),iPr_def_13,iPr_def_15)
| ( iPr_def_15 != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != iPr_def_13 ) ),
inference(demodulation,[status(thm)],[c_2561]) ).
tcf(c_3830,plain,
! [X0: $i] :
( ( iPr_def_12 = u1_group_1(X0) )
| ~ l1_group_1(X0)
| ~ m2_relset_1(u1_group_1(X0),iPr_def_13,iPr_def_15)
| ( iPr_def_15 != u1_struct_0(X0) )
| ( k2_zfmisc_1(u1_struct_0(X0),u1_struct_0(X0)) != iPr_def_13 )
| ( k1_funct_1(u1_group_1(X0),sK3(sK0,u1_group_1(X0))) != u1_struct_0(sK3(sK0,u1_group_1(X0))) ) ),
inference(demodulation,[status(thm)],[c_2537]) ).
tcf(c_3831,plain,
~ v1_xboole_0(iPr_def_12),
inference(demodulation,[status(thm)],[c_2365]) ).
tcf(c_3832,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,X0,X1) = k9_group_2(sK0,X1,X0) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(demodulation,[status(thm)],[c_1913]) ).
tcf(c_3833,plain,
! [X0: $i,X1: $i] :
( v1_group_1(k8_group_2(sK0,X0,X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(demodulation,[status(thm)],[c_1835]) ).
tcf(c_3834,plain,
! [X0: $i,X1: $i] :
( m1_group_2(k8_group_2(sK0,X0,X1),sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(demodulation,[status(thm)],[c_1820]) ).
tcf(c_3835,plain,
! [X0: $i,X1: $i] :
( v1_group_1(k9_group_2(sK0,X0,X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(demodulation,[status(thm)],[c_1805]) ).
tcf(c_3836,plain,
! [X0: $i,X1: $i] :
( m1_group_2(k9_group_2(sK0,X0,X1),sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(demodulation,[status(thm)],[c_1790]) ).
tcf(c_3837,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,X0,X1) = k8_group_2(sK0,X0,X1) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(demodulation,[status(thm)],[c_1775]) ).
tcf(c_3838,plain,
! [X0: $i,X1: $i] :
( ( k3_xboole_0(k1_funct_1(iPr_def_12,X0),k1_funct_1(iPr_def_12,X1)) = u1_struct_0(k9_group_2(sK0,X0,X1)) )
| ~ v1_group_1(X1)
| ~ v1_group_1(X0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(demodulation,[status(thm)],[c_1754]) ).
tcf(c_3839,plain,
! [X0: $i] :
( ( k1_funct_1(iPr_def_12,X0) = u1_struct_0(X0) )
| ~ v1_group_1(X0)
| ~ m1_group_2(X0,sK0) ),
inference(demodulation,[status(thm)],[c_1739]) ).
tcf(c_3840,plain,
m2_relset_1(iPr_def_12,iPr_def_13,iPr_def_15),
inference(demodulation,[status(thm)],[c_1716]) ).
tcf(c_3841,plain,
~ v1_xboole_0(iPr_def_13),
inference(demodulation,[status(thm)],[c_1709]) ).
tcf(c_3842,negated_conjecture,
l1_group_1(sK0),
inference(demodulation,[status(thm)],[c_57]) ).
tcf(c_3843,negated_conjecture,
v3_group_1(sK0),
inference(demodulation,[status(thm)],[c_55]) ).
tcf(c_3844,negated_conjecture,
~ v3_struct_0(sK0),
inference(demodulation,[status(thm)],[c_54]) ).
tcf(c_3845,negated_conjecture,
m1_group_2(sK1,sK0),
inference(demodulation,[status(thm)],[c_53]) ).
tcf(c_3846,negated_conjecture,
v1_group_1(sK1),
inference(demodulation,[status(thm)],[c_52]) ).
tcf(c_3847,negated_conjecture,
m1_group_2(sK2,sK0),
inference(demodulation,[status(thm)],[c_51]) ).
tcf(c_3848,negated_conjecture,
v1_group_1(sK2),
inference(demodulation,[status(thm)],[c_50]) ).
tcf(c_3849,negated_conjecture,
iPr_def_27 != iPr_def_29,
inference(demodulation,[status(thm)],[c_49,c_3799,c_3800,c_3797,c_3796,c_3798]) ).
tcf(c_5173,plain,
! [X0: $i] :
( l1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ l1_group_1(X0) ),
inference(equality_resolution_simp,[status(thm)],[c_2466]) ).
tcf(c_5174,plain,
! [X0: $i] :
( v1_group_1(g1_group_1(u1_struct_0(X0),u1_group_1(X0)))
| ~ l1_group_1(X0) ),
inference(equality_resolution_simp,[status(thm)],[c_2481]) ).
tcf(c_5175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_group_1(X0) = X2 )
| ~ l1_group_1(X0)
| ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) != g1_group_1(X1,X2) ) ),
inference(equality_resolution_simp,[status(thm)],[c_2373]) ).
tcf(c_5176,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( u1_struct_0(X0) = X1 )
| ~ l1_group_1(X0)
| ( g1_group_1(u1_struct_0(X0),u1_group_1(X0)) != g1_group_1(X1,X2) ) ),
inference(equality_resolution_simp,[status(thm)],[c_2391]) ).
tcf(c_5208,plain,
( ( k1_funct_1(iPr_def_12,sK2) = u1_struct_0(sK2) )
| ~ v1_group_1(sK2) ),
inference(superposition,[status(thm)],[c_3847,c_3839]) ).
tcf(c_5209,plain,
( ( k1_funct_1(iPr_def_12,sK1) = u1_struct_0(sK1) )
| ~ v1_group_1(sK1) ),
inference(superposition,[status(thm)],[c_3845,c_3839]) ).
tcf(c_5210,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,X0,X1)) = u1_struct_0(k9_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(k9_group_2(sK0,X0,X1)) ),
inference(superposition,[status(thm)],[c_3836,c_3839]) ).
tcf(c_5211,plain,
! [X0: $i,X1: $i] :
( ( k1_funct_1(iPr_def_12,k8_group_2(sK0,X0,X1)) = u1_struct_0(k8_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ v1_group_1(k8_group_2(sK0,X0,X1)) ),
inference(superposition,[status(thm)],[c_3834,c_3839]) ).
tcf(c_5212,plain,
( ( u1_struct_0(sK1) = iPr_def_25 )
| ~ v1_group_1(sK1) ),
inference(light_normalisation,[status(thm)],[c_5209,c_3796]) ).
tcf(c_5213,plain,
u1_struct_0(sK1) = iPr_def_25,
inference(forward_subsumption_resolution,[status(thm)],[c_5212,c_3846]) ).
tcf(c_5214,plain,
( ( u1_struct_0(sK2) = iPr_def_26 )
| ~ v1_group_1(sK2) ),
inference(light_normalisation,[status(thm)],[c_5208,c_3797]) ).
tcf(c_5215,plain,
u1_struct_0(sK2) = iPr_def_26,
inference(forward_subsumption_resolution,[status(thm)],[c_5214,c_3848]) ).
tcf(c_5226,plain,
m1_subset_1(iPr_def_14,iPr_def_15),
inference(superposition,[status(thm)],[c_3786,c_1298]) ).
tcf(c_5227,plain,
m1_subset_1(sK14(iPr_def_14),iPr_def_15),
inference(superposition,[status(thm)],[c_3786,c_109]) ).
tcf(c_5228,plain,
~ v1_xboole_0(iPr_def_15),
inference(superposition,[status(thm)],[c_3786,c_95]) ).
tcf(c_5235,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,sK2) = k9_group_2(sK0,sK2,X0) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3847,c_3832]) ).
tcf(c_5236,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,sK1) = k9_group_2(sK0,sK1,X0) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3845,c_3832]) ).
tcf(c_5237,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,X0,X1),X2) = k9_group_2(sK0,X2,k9_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X2,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_3832]) ).
tcf(c_5238,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_group_2(sK0,k8_group_2(sK0,X0,X1),X2) = k9_group_2(sK0,X2,k8_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X2,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_3832]) ).
tcf(c_5260,plain,
k9_group_2(sK0,sK1,sK2) = k9_group_2(sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_3845,c_5235]) ).
tcf(c_5261,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,X0,X1),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_5235]) ).
tcf(c_5262,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k8_group_2(sK0,X0,X1),sK2) = k9_group_2(sK0,sK2,k8_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_5235]) ).
tcf(c_5263,plain,
k9_group_2(sK0,sK2,sK1) = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_5260,c_3799]) ).
tcf(c_5278,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,X0,X1),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_5236]) ).
tcf(c_5279,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k8_group_2(sK0,X0,X1),sK1) = k9_group_2(sK0,sK1,k8_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_5236]) ).
tcf(c_5288,plain,
( m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(sK1,sK0) ),
inference(superposition,[status(thm)],[c_5263,c_3836]) ).
tcf(c_5289,plain,
( v1_group_1(iPr_def_28)
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(sK1,sK0) ),
inference(superposition,[status(thm)],[c_5263,c_3835]) ).
tcf(c_5290,plain,
v1_group_1(iPr_def_28),
inference(forward_subsumption_resolution,[status(thm)],[c_5289,c_3847,c_3845]) ).
tcf(c_5291,plain,
m1_group_2(iPr_def_28,sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5288,c_3847,c_3845]) ).
tcf(c_5292,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,iPr_def_28) = k9_group_2(sK0,iPr_def_28,X0) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5291,c_3832]) ).
tcf(c_5293,plain,
k9_group_2(sK0,sK1,iPr_def_28) = k9_group_2(sK0,iPr_def_28,sK1),
inference(superposition,[status(thm)],[c_5291,c_5236]) ).
tcf(c_5294,plain,
k9_group_2(sK0,sK2,iPr_def_28) = k9_group_2(sK0,iPr_def_28,sK2),
inference(superposition,[status(thm)],[c_5291,c_5235]) ).
tcf(c_5295,plain,
( ( k1_funct_1(iPr_def_12,iPr_def_28) = u1_struct_0(iPr_def_28) )
| ~ v1_group_1(iPr_def_28) ),
inference(superposition,[status(thm)],[c_5291,c_3839]) ).
tcf(c_5296,plain,
( ( u1_struct_0(iPr_def_28) = iPr_def_29 )
| ~ v1_group_1(iPr_def_28) ),
inference(light_normalisation,[status(thm)],[c_5295,c_3800]) ).
tcf(c_5297,plain,
u1_struct_0(iPr_def_28) = iPr_def_29,
inference(forward_subsumption_resolution,[status(thm)],[c_5296,c_5290]) ).
tcf(c_5301,plain,
( m1_group_2(k9_group_2(sK0,iPr_def_28,sK1),sK0)
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(sK1,sK0) ),
inference(superposition,[status(thm)],[c_5293,c_3836]) ).
tcf(c_5302,plain,
( v1_group_1(k9_group_2(sK0,iPr_def_28,sK1))
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(sK1,sK0) ),
inference(superposition,[status(thm)],[c_5293,c_3835]) ).
tcf(c_5303,plain,
v1_group_1(k9_group_2(sK0,iPr_def_28,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_5302,c_5291,c_3845]) ).
tcf(c_5304,plain,
m1_group_2(k9_group_2(sK0,iPr_def_28,sK1),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5301,c_5291,c_3845]) ).
tcf(c_5309,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,sK1)) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5304,c_3832]) ).
tcf(c_5310,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),
inference(superposition,[status(thm)],[c_5304,c_5236]) ).
tcf(c_5311,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),
inference(superposition,[status(thm)],[c_5304,c_5235]) ).
tcf(c_5312,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,iPr_def_28,sK1)) = u1_struct_0(k9_group_2(sK0,iPr_def_28,sK1)) )
| ~ v1_group_1(k9_group_2(sK0,iPr_def_28,sK1)) ),
inference(superposition,[status(thm)],[c_5304,c_3839]) ).
tcf(c_5313,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,iPr_def_28,sK1)) = u1_struct_0(k9_group_2(sK0,iPr_def_28,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_5312,c_5303]) ).
tcf(c_5317,plain,
( m1_group_2(k9_group_2(sK0,iPr_def_28,sK2),sK0)
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(sK2,sK0) ),
inference(superposition,[status(thm)],[c_5294,c_3836]) ).
tcf(c_5318,plain,
( v1_group_1(k9_group_2(sK0,iPr_def_28,sK2))
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(sK2,sK0) ),
inference(superposition,[status(thm)],[c_5294,c_3835]) ).
tcf(c_5319,plain,
v1_group_1(k9_group_2(sK0,iPr_def_28,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_5318,c_5291,c_3847]) ).
tcf(c_5320,plain,
m1_group_2(k9_group_2(sK0,iPr_def_28,sK2),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5317,c_5291,c_3847]) ).
tcf(c_5321,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,sK2)) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5320,c_3832]) ).
tcf(c_5322,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),
inference(superposition,[status(thm)],[c_5320,c_5236]) ).
tcf(c_5323,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),
inference(superposition,[status(thm)],[c_5320,c_5235]) ).
tcf(c_5324,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,iPr_def_28,sK2)) = u1_struct_0(k9_group_2(sK0,iPr_def_28,sK2)) )
| ~ v1_group_1(k9_group_2(sK0,iPr_def_28,sK2)) ),
inference(superposition,[status(thm)],[c_5320,c_3839]) ).
tcf(c_5325,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,iPr_def_28,sK2)) = u1_struct_0(k9_group_2(sK0,iPr_def_28,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_5324,c_5319]) ).
tcf(c_5335,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,X0,X1),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_5292]) ).
tcf(c_5336,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k8_group_2(sK0,X0,X1),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k8_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_5292]) ).
tcf(c_5338,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),
inference(superposition,[status(thm)],[c_5304,c_5292]) ).
tcf(c_5339,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),
inference(superposition,[status(thm)],[c_5320,c_5292]) ).
tcf(c_5348,plain,
( m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK0)
| ~ m1_group_2(sK1,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK1),sK0) ),
inference(superposition,[status(thm)],[c_5310,c_3836]) ).
tcf(c_5349,plain,
( v1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))
| ~ m1_group_2(sK1,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK1),sK0) ),
inference(superposition,[status(thm)],[c_5310,c_3835]) ).
tcf(c_5350,plain,
v1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_5349,c_3845,c_5304]) ).
tcf(c_5351,plain,
m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5348,c_3845,c_5304]) ).
tcf(c_5360,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5351,c_3832]) ).
tcf(c_5361,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5351,c_5292]) ).
tcf(c_5362,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5351,c_5236]) ).
tcf(c_5363,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5351,c_5235]) ).
tcf(c_5364,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) = u1_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ v1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) ),
inference(superposition,[status(thm)],[c_5351,c_3839]) ).
tcf(c_5367,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) = u1_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_5364,c_5350]) ).
tcf(c_5369,plain,
( m1_group_2(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK0)
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK1),sK0) ),
inference(superposition,[status(thm)],[c_5311,c_3836]) ).
tcf(c_5370,plain,
( v1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)))
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK1),sK0) ),
inference(superposition,[status(thm)],[c_5311,c_3835]) ).
tcf(c_5371,plain,
v1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_5370,c_3847,c_5304]) ).
tcf(c_5372,plain,
m1_group_2(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5369,c_3847,c_5304]) ).
tcf(c_5373,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5372,c_3832]) ).
tcf(c_5374,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5372,c_5292]) ).
tcf(c_5375,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5372,c_5236]) ).
tcf(c_5376,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5372,c_5235]) ).
tcf(c_5377,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) = u1_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ v1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) ),
inference(superposition,[status(thm)],[c_5372,c_3839]) ).
tcf(c_5380,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) = u1_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_5377,c_5371]) ).
tcf(c_5382,plain,
( m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK0)
| ~ m1_group_2(sK1,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK2),sK0) ),
inference(superposition,[status(thm)],[c_5322,c_3836]) ).
tcf(c_5383,plain,
( v1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)))
| ~ m1_group_2(sK1,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK2),sK0) ),
inference(superposition,[status(thm)],[c_5322,c_3835]) ).
tcf(c_5384,plain,
v1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_5383,c_3845,c_5320]) ).
tcf(c_5385,plain,
m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5382,c_3845,c_5320]) ).
tcf(c_5386,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5385,c_3832]) ).
tcf(c_5387,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5385,c_5292]) ).
tcf(c_5388,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5385,c_5236]) ).
tcf(c_5389,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5385,c_5235]) ).
tcf(c_5390,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) = u1_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) )
| ~ v1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) ),
inference(superposition,[status(thm)],[c_5385,c_3839]) ).
tcf(c_5393,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) = u1_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_5390,c_5384]) ).
tcf(c_5395,plain,
m2_relset_1(iPr_def_24,iPr_def_20,iPr_def_15),
inference(superposition,[status(thm)],[c_3795,c_2725]) ).
tcf(c_5396,plain,
m2_relset_1(iPr_def_16,iPr_def_13,iPr_def_15),
inference(superposition,[status(thm)],[c_3787,c_2730]) ).
tcf(c_5397,plain,
m2_relset_1(iPr_def_23,iPr_def_20,iPr_def_15),
inference(superposition,[status(thm)],[c_3794,c_2730]) ).
tcf(c_5398,plain,
( m1_group_2(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK0)
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK2),sK0) ),
inference(superposition,[status(thm)],[c_5323,c_3836]) ).
tcf(c_5399,plain,
( v1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)))
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK2),sK0) ),
inference(superposition,[status(thm)],[c_5323,c_3835]) ).
tcf(c_5400,plain,
v1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_5399,c_3847,c_5320]) ).
tcf(c_5401,plain,
m1_group_2(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5398,c_3847,c_5320]) ).
tcf(c_5402,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5401,c_3832]) ).
tcf(c_5403,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5401,c_5292]) ).
tcf(c_5404,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5401,c_5236]) ).
tcf(c_5405,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5401,c_5235]) ).
tcf(c_5406,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) = u1_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) )
| ~ v1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) ),
inference(superposition,[status(thm)],[c_5401,c_3839]) ).
tcf(c_5409,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) = u1_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_5406,c_5400]) ).
tcf(c_5411,plain,
( m1_group_2(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK0)
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK1),sK0) ),
inference(superposition,[status(thm)],[c_5338,c_3836]) ).
tcf(c_5412,plain,
( v1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)))
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK1),sK0) ),
inference(superposition,[status(thm)],[c_5338,c_3835]) ).
tcf(c_5413,plain,
v1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_5412,c_5291,c_5304]) ).
tcf(c_5414,plain,
m1_group_2(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5411,c_5291,c_5304]) ).
tcf(c_5415,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5414,c_3832]) ).
tcf(c_5416,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5414,c_5292]) ).
tcf(c_5417,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5414,c_5236]) ).
tcf(c_5418,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5414,c_5235]) ).
tcf(c_5419,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) = u1_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ v1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) ),
inference(superposition,[status(thm)],[c_5414,c_3839]) ).
tcf(c_5422,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) = u1_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_5419,c_5413]) ).
tcf(c_5424,plain,
( m1_group_2(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK0)
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK2),sK0) ),
inference(superposition,[status(thm)],[c_5339,c_3836]) ).
tcf(c_5425,plain,
( v1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)))
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(k9_group_2(sK0,iPr_def_28,sK2),sK0) ),
inference(superposition,[status(thm)],[c_5339,c_3835]) ).
tcf(c_5426,plain,
v1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_5425,c_5291,c_5320]) ).
tcf(c_5427,plain,
m1_group_2(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5424,c_5291,c_5320]) ).
tcf(c_5432,plain,
( v1_xboole_0(iPr_def_14)
| m1_subset_1(sK11(iPr_def_14),iPr_def_15) ),
inference(superposition,[status(thm)],[c_3786,c_104]) ).
tcf(c_5444,plain,
k1_xboole_0 = sK12,
inference(superposition,[status(thm)],[c_106,c_127]) ).
tcf(c_5445,plain,
! [X0: $i] : sK14(X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_110,c_127]) ).
tcf(c_5447,plain,
! [X0: $i] : m1_subset_1(k1_xboole_0,k1_zfmisc_1(X0)),
inference(demodulation,[status(thm)],[c_109,c_5445]) ).
tcf(c_5449,plain,
m1_subset_1(k1_xboole_0,iPr_def_15),
inference(demodulation,[status(thm)],[c_5227,c_5445]) ).
tcf(c_5453,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5427,c_3832]) ).
tcf(c_5454,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5427,c_5292]) ).
tcf(c_5455,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5427,c_5236]) ).
tcf(c_5456,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5427,c_5235]) ).
tcf(c_5457,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) = u1_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) )
| ~ v1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) ),
inference(superposition,[status(thm)],[c_5427,c_3839]) ).
tcf(c_5460,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) = u1_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_5457,c_5426]) ).
tcf(c_5468,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,sK2) = k8_group_2(sK0,X0,sK2) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3847,c_3837]) ).
tcf(c_5469,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,sK1) = k8_group_2(sK0,X0,sK1) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3845,c_3837]) ).
tcf(c_5470,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_group_2(sK0,X2,k9_group_2(sK0,X0,X1)) = k8_group_2(sK0,X2,k9_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X2,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_3837]) ).
tcf(c_5471,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( k9_group_2(sK0,X2,k8_group_2(sK0,X0,X1)) = k8_group_2(sK0,X2,k8_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X2,sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_3837]) ).
tcf(c_5472,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,iPr_def_28) = k8_group_2(sK0,X0,iPr_def_28) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5291,c_3837]) ).
tcf(c_5473,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,sK1)) = k8_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,sK1)) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5304,c_3837]) ).
tcf(c_5474,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,sK2)) = k8_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,sK2)) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5320,c_3837]) ).
tcf(c_5475,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,X0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5351,c_3837]) ).
tcf(c_5476,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,X0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5372,c_3837]) ).
tcf(c_5477,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,X0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5385,c_3837]) ).
tcf(c_5478,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,X0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5401,c_3837]) ).
tcf(c_5479,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5414,c_3837]) ).
tcf(c_5480,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,X0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5427,c_3837]) ).
tcf(c_5528,plain,
k9_group_2(sK0,sK2,sK2) = k8_group_2(sK0,sK2,sK2),
inference(superposition,[status(thm)],[c_3847,c_5468]) ).
tcf(c_5529,plain,
k9_group_2(sK0,sK1,sK2) = k8_group_2(sK0,sK1,sK2),
inference(superposition,[status(thm)],[c_3845,c_5468]) ).
tcf(c_5530,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,X0,X1),sK2) = k8_group_2(sK0,k9_group_2(sK0,X0,X1),sK2) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_5468]) ).
tcf(c_5531,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k8_group_2(sK0,X0,X1),sK2) = k8_group_2(sK0,k8_group_2(sK0,X0,X1),sK2) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_5468]) ).
tcf(c_5532,plain,
k9_group_2(sK0,iPr_def_28,sK2) = k8_group_2(sK0,iPr_def_28,sK2),
inference(superposition,[status(thm)],[c_5291,c_5468]) ).
tcf(c_5533,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK2) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK2),
inference(superposition,[status(thm)],[c_5304,c_5468]) ).
tcf(c_5534,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK2) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK2),
inference(superposition,[status(thm)],[c_5320,c_5468]) ).
tcf(c_5535,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK2) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK2),
inference(superposition,[status(thm)],[c_5351,c_5468]) ).
tcf(c_5536,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK2) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK2),
inference(superposition,[status(thm)],[c_5372,c_5468]) ).
tcf(c_5537,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK2) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK2),
inference(superposition,[status(thm)],[c_5385,c_5468]) ).
tcf(c_5538,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK2) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK2),
inference(superposition,[status(thm)],[c_5401,c_5468]) ).
tcf(c_5539,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK2) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK2),
inference(superposition,[status(thm)],[c_5414,c_5468]) ).
tcf(c_5540,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK2) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK2),
inference(superposition,[status(thm)],[c_5427,c_5468]) ).
tcf(c_5541,plain,
k8_group_2(sK0,sK1,sK2) = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_5529,c_3799]) ).
tcf(c_5542,plain,
k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK2),
inference(light_normalisation,[status(thm)],[c_5534,c_5323]) ).
tcf(c_5543,plain,
k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK2),
inference(light_normalisation,[status(thm)],[c_5533,c_5311]) ).
tcf(c_5544,plain,
k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK2),
inference(light_normalisation,[status(thm)],[c_5540,c_5456]) ).
tcf(c_5545,plain,
k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK2),
inference(light_normalisation,[status(thm)],[c_5539,c_5418]) ).
tcf(c_5546,plain,
k9_group_2(sK0,sK2,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK2),
inference(light_normalisation,[status(thm)],[c_5538,c_5405]) ).
tcf(c_5547,plain,
k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK2),
inference(light_normalisation,[status(thm)],[c_5537,c_5389]) ).
tcf(c_5548,plain,
k9_group_2(sK0,sK2,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK2),
inference(light_normalisation,[status(thm)],[c_5536,c_5376]) ).
tcf(c_5549,plain,
k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK2),
inference(light_normalisation,[status(thm)],[c_5535,c_5363]) ).
tcf(c_5558,plain,
( m1_group_2(k9_group_2(sK0,sK2,sK2),sK0)
| ~ m1_group_2(sK2,sK0) ),
inference(superposition,[status(thm)],[c_5528,c_3834]) ).
tcf(c_5559,plain,
( v1_group_1(k9_group_2(sK0,sK2,sK2))
| ~ m1_group_2(sK2,sK0) ),
inference(superposition,[status(thm)],[c_5528,c_3833]) ).
tcf(c_5560,plain,
v1_group_1(k9_group_2(sK0,sK2,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_5559,c_3847]) ).
tcf(c_5561,plain,
m1_group_2(k9_group_2(sK0,sK2,sK2),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5558,c_3847]) ).
tcf(c_5562,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,sK2,sK2)) = k8_group_2(sK0,X0,k9_group_2(sK0,sK2,sK2)) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5561,c_3837]) ).
tcf(c_5563,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,sK2,sK2),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,sK2,sK2)) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5561,c_3832]) ).
tcf(c_5564,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK2) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK2),
inference(superposition,[status(thm)],[c_5561,c_5468]) ).
tcf(c_5565,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK2),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK2,sK2)),
inference(superposition,[status(thm)],[c_5561,c_5292]) ).
tcf(c_5566,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK2,sK2)),
inference(superposition,[status(thm)],[c_5561,c_5236]) ).
tcf(c_5567,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,sK2,sK2)),
inference(superposition,[status(thm)],[c_5561,c_5235]) ).
tcf(c_5568,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,sK2,sK2)) = u1_struct_0(k9_group_2(sK0,sK2,sK2)) )
| ~ v1_group_1(k9_group_2(sK0,sK2,sK2)) ),
inference(superposition,[status(thm)],[c_5561,c_3839]) ).
tcf(c_5569,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,sK2,sK2)) = u1_struct_0(k9_group_2(sK0,sK2,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_5568,c_5560]) ).
tcf(c_5580,plain,
k9_group_2(sK0,sK2,sK1) = k8_group_2(sK0,sK2,sK1),
inference(superposition,[status(thm)],[c_3847,c_5469]) ).
tcf(c_5581,plain,
k9_group_2(sK0,sK1,sK1) = k8_group_2(sK0,sK1,sK1),
inference(superposition,[status(thm)],[c_3845,c_5469]) ).
tcf(c_5582,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,X0,X1),sK1) = k8_group_2(sK0,k9_group_2(sK0,X0,X1),sK1) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_5469]) ).
tcf(c_5583,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k8_group_2(sK0,X0,X1),sK1) = k8_group_2(sK0,k8_group_2(sK0,X0,X1),sK1) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_5469]) ).
tcf(c_5584,plain,
k9_group_2(sK0,iPr_def_28,sK1) = k8_group_2(sK0,iPr_def_28,sK1),
inference(superposition,[status(thm)],[c_5291,c_5469]) ).
tcf(c_5585,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK1) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK1),
inference(superposition,[status(thm)],[c_5304,c_5469]) ).
tcf(c_5586,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK1) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK1),
inference(superposition,[status(thm)],[c_5320,c_5469]) ).
tcf(c_5587,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK1) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK1),
inference(superposition,[status(thm)],[c_5351,c_5469]) ).
tcf(c_5588,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK1) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK1),
inference(superposition,[status(thm)],[c_5372,c_5469]) ).
tcf(c_5589,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK1) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK1),
inference(superposition,[status(thm)],[c_5385,c_5469]) ).
tcf(c_5590,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK1) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK1),
inference(superposition,[status(thm)],[c_5401,c_5469]) ).
tcf(c_5591,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK1) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK1),
inference(superposition,[status(thm)],[c_5414,c_5469]) ).
tcf(c_5592,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK1) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK1),
inference(superposition,[status(thm)],[c_5427,c_5469]) ).
tcf(c_5593,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK1) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK1),
inference(superposition,[status(thm)],[c_5561,c_5469]) ).
tcf(c_5594,plain,
k8_group_2(sK0,sK2,sK1) = iPr_def_28,
inference(light_normalisation,[status(thm)],[c_5580,c_5263]) ).
tcf(c_5595,plain,
k9_group_2(sK0,sK1,k9_group_2(sK0,sK2,sK2)) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK1),
inference(light_normalisation,[status(thm)],[c_5593,c_5566]) ).
tcf(c_5596,plain,
k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK1),
inference(light_normalisation,[status(thm)],[c_5586,c_5322]) ).
tcf(c_5597,plain,
k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK1),
inference(light_normalisation,[status(thm)],[c_5585,c_5310]) ).
tcf(c_5598,plain,
k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK1),
inference(light_normalisation,[status(thm)],[c_5592,c_5455]) ).
tcf(c_5599,plain,
k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK1),
inference(light_normalisation,[status(thm)],[c_5591,c_5417]) ).
tcf(c_5600,plain,
k9_group_2(sK0,sK1,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK1),
inference(light_normalisation,[status(thm)],[c_5590,c_5404]) ).
tcf(c_5601,plain,
k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK1),
inference(light_normalisation,[status(thm)],[c_5589,c_5388]) ).
tcf(c_5602,plain,
k9_group_2(sK0,sK1,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK1),
inference(light_normalisation,[status(thm)],[c_5588,c_5375]) ).
tcf(c_5603,plain,
k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK1),
inference(light_normalisation,[status(thm)],[c_5587,c_5362]) ).
tcf(c_5624,plain,
( m1_group_2(k9_group_2(sK0,sK1,sK1),sK0)
| ~ m1_group_2(sK1,sK0) ),
inference(superposition,[status(thm)],[c_5581,c_3834]) ).
tcf(c_5625,plain,
( v1_group_1(k9_group_2(sK0,sK1,sK1))
| ~ m1_group_2(sK1,sK0) ),
inference(superposition,[status(thm)],[c_5581,c_3833]) ).
tcf(c_5626,plain,
v1_group_1(k9_group_2(sK0,sK1,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_5625,c_3845]) ).
tcf(c_5627,plain,
m1_group_2(k9_group_2(sK0,sK1,sK1),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5624,c_3845]) ).
tcf(c_5644,plain,
! [X0: $i] : k3_xboole_0(k1_xboole_0,X0) = k1_xboole_0,
inference(superposition,[status(thm)],[c_122,c_64]) ).
tcf(c_5655,plain,
( v1_xboole_0(iPr_def_15)
| ~ v1_xboole_0(iPr_def_20) ),
inference(superposition,[status(thm)],[c_3791,c_97]) ).
tcf(c_5656,plain,
~ v1_xboole_0(iPr_def_20),
inference(forward_subsumption_resolution,[status(thm)],[c_5655,c_5228]) ).
tcf(c_5657,plain,
m2_relset_1(iPr_def_21,iPr_def_20,iPr_def_15),
inference(superposition,[status(thm)],[c_3792,c_2735]) ).
tcf(c_5658,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,sK1,sK1)) = k8_group_2(sK0,X0,k9_group_2(sK0,sK1,sK1)) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5627,c_3837]) ).
tcf(c_5659,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,sK1,sK1),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,sK1,sK1)) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5627,c_3832]) ).
tcf(c_5660,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK1) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK1),
inference(superposition,[status(thm)],[c_5627,c_5469]) ).
tcf(c_5661,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK2) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK2),
inference(superposition,[status(thm)],[c_5627,c_5468]) ).
tcf(c_5662,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK1),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,sK1)),
inference(superposition,[status(thm)],[c_5627,c_5292]) ).
tcf(c_5663,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,sK1)),
inference(superposition,[status(thm)],[c_5627,c_5236]) ).
tcf(c_5664,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,sK1)),
inference(superposition,[status(thm)],[c_5627,c_5235]) ).
tcf(c_5665,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,sK1)) = u1_struct_0(k9_group_2(sK0,sK1,sK1)) )
| ~ v1_group_1(k9_group_2(sK0,sK1,sK1)) ),
inference(superposition,[status(thm)],[c_5627,c_3839]) ).
tcf(c_5666,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,sK1)) = u1_struct_0(k9_group_2(sK0,sK1,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_5665,c_5626]) ).
tcf(c_5696,plain,
k9_group_2(sK0,sK2,iPr_def_28) = k8_group_2(sK0,sK2,iPr_def_28),
inference(superposition,[status(thm)],[c_3847,c_5472]) ).
tcf(c_5697,plain,
k9_group_2(sK0,sK1,iPr_def_28) = k8_group_2(sK0,sK1,iPr_def_28),
inference(superposition,[status(thm)],[c_3845,c_5472]) ).
tcf(c_5698,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,X0,X1),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,X0,X1),iPr_def_28) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_5472]) ).
tcf(c_5699,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k8_group_2(sK0,X0,X1),iPr_def_28) = k8_group_2(sK0,k8_group_2(sK0,X0,X1),iPr_def_28) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_5472]) ).
tcf(c_5700,plain,
k9_group_2(sK0,iPr_def_28,iPr_def_28) = k8_group_2(sK0,iPr_def_28,iPr_def_28),
inference(superposition,[status(thm)],[c_5291,c_5472]) ).
tcf(c_5701,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),iPr_def_28),
inference(superposition,[status(thm)],[c_5304,c_5472]) ).
tcf(c_5702,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),iPr_def_28),
inference(superposition,[status(thm)],[c_5320,c_5472]) ).
tcf(c_5703,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28),
inference(superposition,[status(thm)],[c_5351,c_5472]) ).
tcf(c_5704,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28),
inference(superposition,[status(thm)],[c_5372,c_5472]) ).
tcf(c_5705,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28),
inference(superposition,[status(thm)],[c_5385,c_5472]) ).
tcf(c_5706,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28),
inference(superposition,[status(thm)],[c_5401,c_5472]) ).
tcf(c_5707,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28),
inference(superposition,[status(thm)],[c_5414,c_5472]) ).
tcf(c_5708,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28),
inference(superposition,[status(thm)],[c_5427,c_5472]) ).
tcf(c_5709,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK2),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK2),iPr_def_28),
inference(superposition,[status(thm)],[c_5561,c_5472]) ).
tcf(c_5710,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK1),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK1),iPr_def_28),
inference(superposition,[status(thm)],[c_5627,c_5472]) ).
tcf(c_5711,plain,
k9_group_2(sK0,iPr_def_28,sK1) = k8_group_2(sK0,sK1,iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5697,c_5293]) ).
tcf(c_5712,plain,
k9_group_2(sK0,iPr_def_28,sK2) = k8_group_2(sK0,sK2,iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5696,c_5294]) ).
tcf(c_5713,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,sK1)) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK1),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5710,c_5662]) ).
tcf(c_5714,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK2,sK2)) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK2),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5709,c_5565]) ).
tcf(c_5715,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5702,c_5339]) ).
tcf(c_5716,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5701,c_5338]) ).
tcf(c_5717,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5708,c_5454]) ).
tcf(c_5718,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5707,c_5416]) ).
tcf(c_5719,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5706,c_5403]) ).
tcf(c_5720,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5705,c_5387]) ).
tcf(c_5721,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5704,c_5374]) ).
tcf(c_5722,plain,
k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5703,c_5361]) ).
tcf(c_5750,plain,
( m1_group_2(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK0)
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_5361,c_3836]) ).
tcf(c_5751,plain,
( v1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))))
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_5361,c_3835]) ).
tcf(c_5752,plain,
v1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_5751,c_5291,c_5351]) ).
tcf(c_5753,plain,
m1_group_2(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5750,c_5291,c_5351]) ).
tcf(c_5760,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK8(X0),X0) ),
inference(superposition,[status(thm)],[c_91,c_123]) ).
tcf(c_5761,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(sK11(X0),k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_104,c_123]) ).
tcf(c_5762,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(X0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_1298,c_123]) ).
tcf(c_5763,plain,
( v1_xboole_0(k1_zfmisc_1(u1_struct_0(sK16)))
| r2_hidden(sK17(sK16),k1_zfmisc_1(u1_struct_0(sK16))) ),
inference(superposition,[status(thm)],[c_1375,c_123]) ).
tcf(c_5764,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(iPr_def_14,iPr_def_15) ),
inference(superposition,[status(thm)],[c_5226,c_123]) ).
tcf(c_5765,plain,
! [X0: $i] :
( v1_xboole_0(k1_zfmisc_1(X0))
| r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)) ),
inference(superposition,[status(thm)],[c_5447,c_123]) ).
tcf(c_5766,plain,
( v1_xboole_0(iPr_def_15)
| r2_hidden(k1_xboole_0,iPr_def_15) ),
inference(superposition,[status(thm)],[c_5449,c_123]) ).
tcf(c_5767,plain,
r2_hidden(k1_xboole_0,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_5766,c_5228]) ).
tcf(c_5768,plain,
r2_hidden(iPr_def_14,iPr_def_15),
inference(forward_subsumption_resolution,[status(thm)],[c_5764,c_5228]) ).
tcf(c_5771,plain,
! [X0: $i] : r2_hidden(k1_xboole_0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_5765,c_95]) ).
tcf(c_5772,plain,
! [X0: $i] : r2_hidden(X0,k1_zfmisc_1(X0)),
inference(forward_subsumption_resolution,[status(thm)],[c_5762,c_95]) ).
tcf(c_5773,plain,
r2_hidden(sK17(sK16),k1_zfmisc_1(u1_struct_0(sK16))),
inference(forward_subsumption_resolution,[status(thm)],[c_5763,c_95]) ).
tcf(c_5774,plain,
! [X0: $i] :
( v1_xboole_0(X0)
| r2_hidden(sK11(X0),k1_zfmisc_1(X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5761,c_95]) ).
tcf(c_5800,plain,
! [X0: $i] :
( m1_subset_1(X0,k1_zfmisc_1(iPr_def_20))
| ~ m2_relset_1(X0,iPr_def_15,iPr_def_15) ),
inference(superposition,[status(thm)],[c_3791,c_83]) ).
tcf(c_5801,plain,
! [X0: $i,X1: $i,X2: $i] :
( v1_xboole_0(k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_83,c_123]) ).
tcf(c_5804,plain,
! [X0: $i,X1: $i,X2: $i] :
( r2_hidden(X0,k1_zfmisc_1(k2_zfmisc_1(X1,X2)))
| ~ m2_relset_1(X0,X1,X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5801,c_95]) ).
tcf(c_5823,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| ( k9_group_2(sK0,X0,sK6(sK0)) = k8_group_2(sK0,X0,sK6(sK0)) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_89,c_3837]) ).
tcf(c_5824,plain,
! [X0: $i] :
( v3_struct_0(sK0)
| ( k9_group_2(sK0,sK6(sK0),X0) = k9_group_2(sK0,X0,sK6(sK0)) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_89,c_3832]) ).
tcf(c_5825,plain,
( v3_struct_0(sK0)
| ( k9_group_2(sK0,sK6(sK0),iPr_def_28) = k8_group_2(sK0,sK6(sK0),iPr_def_28) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_89,c_5472]) ).
tcf(c_5826,plain,
( v3_struct_0(sK0)
| ( k9_group_2(sK0,sK6(sK0),sK1) = k8_group_2(sK0,sK6(sK0),sK1) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_89,c_5469]) ).
tcf(c_5827,plain,
( v3_struct_0(sK0)
| ( k9_group_2(sK0,sK6(sK0),sK2) = k8_group_2(sK0,sK6(sK0),sK2) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_89,c_5468]) ).
tcf(c_5828,plain,
( v3_struct_0(sK0)
| ( k9_group_2(sK0,sK6(sK0),iPr_def_28) = k9_group_2(sK0,iPr_def_28,sK6(sK0)) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_89,c_5292]) ).
tcf(c_5829,plain,
( v3_struct_0(sK0)
| ( k9_group_2(sK0,sK6(sK0),sK1) = k9_group_2(sK0,sK1,sK6(sK0)) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_89,c_5236]) ).
tcf(c_5830,plain,
( v3_struct_0(sK0)
| ( k9_group_2(sK0,sK6(sK0),sK2) = k9_group_2(sK0,sK2,sK6(sK0)) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_89,c_5235]) ).
tcf(c_5831,plain,
( v3_struct_0(sK0)
| ( k1_funct_1(iPr_def_12,sK6(sK0)) = u1_struct_0(sK6(sK0)) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v1_group_1(sK6(sK0)) ),
inference(superposition,[status(thm)],[c_89,c_3839]) ).
tcf(c_5832,plain,
k9_group_2(sK0,sK6(sK0),sK2) = k9_group_2(sK0,sK2,sK6(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_5830,c_3844,c_3842,c_3843]) ).
tcf(c_5833,plain,
k9_group_2(sK0,sK6(sK0),sK1) = k9_group_2(sK0,sK1,sK6(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_5829,c_3844,c_3842,c_3843]) ).
tcf(c_5834,plain,
k9_group_2(sK0,sK6(sK0),iPr_def_28) = k9_group_2(sK0,iPr_def_28,sK6(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_5828,c_3844,c_3842,c_3843]) ).
tcf(c_5835,plain,
k9_group_2(sK0,sK6(sK0),sK2) = k8_group_2(sK0,sK6(sK0),sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_5827,c_3844,c_3842,c_3843]) ).
tcf(c_5836,plain,
k9_group_2(sK0,sK6(sK0),sK1) = k8_group_2(sK0,sK6(sK0),sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_5826,c_3844,c_3842,c_3843]) ).
tcf(c_5837,plain,
k9_group_2(sK0,sK6(sK0),iPr_def_28) = k8_group_2(sK0,sK6(sK0),iPr_def_28),
inference(forward_subsumption_resolution,[status(thm)],[c_5825,c_3844,c_3842,c_3843]) ).
tcf(c_5838,plain,
( ( k1_funct_1(iPr_def_12,sK6(sK0)) = u1_struct_0(sK6(sK0)) )
| ~ v1_group_1(sK6(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5831,c_3844,c_3842,c_3843]) ).
tcf(c_5841,plain,
! [X0: $i] :
( ( k9_group_2(sK0,sK6(sK0),X0) = k9_group_2(sK0,X0,sK6(sK0)) )
| ~ m1_group_2(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5824,c_3844,c_3842,c_3843]) ).
tcf(c_5844,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,sK6(sK0)) = k8_group_2(sK0,X0,sK6(sK0)) )
| ~ m1_group_2(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5823,c_3844,c_3842,c_3843]) ).
tcf(c_5860,plain,
~ r2_hidden(iPr_def_15,k1_xboole_0),
inference(superposition,[status(thm)],[c_5767,c_59]) ).
tcf(c_5863,plain,
~ r2_hidden(iPr_def_15,iPr_def_14),
inference(superposition,[status(thm)],[c_5768,c_59]) ).
tcf(c_5867,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),k1_xboole_0),
inference(superposition,[status(thm)],[c_5771,c_59]) ).
tcf(c_5872,plain,
! [X0: $i] : ~ r2_hidden(k1_zfmisc_1(X0),X0),
inference(superposition,[status(thm)],[c_5772,c_59]) ).
tcf(c_5876,plain,
( m1_group_2(k9_group_2(sK0,sK2,sK6(sK0)),sK0)
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(superposition,[status(thm)],[c_5832,c_3836]) ).
tcf(c_5877,plain,
( v1_group_1(k9_group_2(sK0,sK2,sK6(sK0)))
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(superposition,[status(thm)],[c_5832,c_3835]) ).
tcf(c_5878,plain,
( v1_group_1(k9_group_2(sK0,sK2,sK6(sK0)))
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5877,c_3847]) ).
tcf(c_5881,plain,
( m1_group_2(k9_group_2(sK0,sK2,sK6(sK0)),sK0)
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5876,c_3847]) ).
tcf(c_5886,plain,
v1_group_1(k9_group_2(sK0,sK2,sK6(sK0))),
inference(global_subsumption_just,[status(thm)],[c_5878,c_57,c_55,c_54,c_163,c_5878]) ).
tcf(c_5894,plain,
( m1_group_2(k9_group_2(sK0,sK1,sK6(sK0)),sK0)
| ~ m1_group_2(sK1,sK0)
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(superposition,[status(thm)],[c_5833,c_3836]) ).
tcf(c_5895,plain,
( v1_group_1(k9_group_2(sK0,sK1,sK6(sK0)))
| ~ m1_group_2(sK1,sK0)
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(superposition,[status(thm)],[c_5833,c_3835]) ).
tcf(c_5896,plain,
( v1_group_1(k9_group_2(sK0,sK1,sK6(sK0)))
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5895,c_3845]) ).
tcf(c_5899,plain,
( m1_group_2(k9_group_2(sK0,sK1,sK6(sK0)),sK0)
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5894,c_3845]) ).
tcf(c_5902,plain,
v1_group_1(k9_group_2(sK0,sK1,sK6(sK0))),
inference(global_subsumption_just,[status(thm)],[c_5896,c_57,c_55,c_54,c_163,c_5896]) ).
tcf(c_5904,plain,
( m1_group_2(k9_group_2(sK0,iPr_def_28,sK6(sK0)),sK0)
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(superposition,[status(thm)],[c_5834,c_3836]) ).
tcf(c_5905,plain,
( v1_group_1(k9_group_2(sK0,iPr_def_28,sK6(sK0)))
| ~ m1_group_2(iPr_def_28,sK0)
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(superposition,[status(thm)],[c_5834,c_3835]) ).
tcf(c_5906,plain,
( v1_group_1(k9_group_2(sK0,iPr_def_28,sK6(sK0)))
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5905,c_5291]) ).
tcf(c_5909,plain,
( m1_group_2(k9_group_2(sK0,iPr_def_28,sK6(sK0)),sK0)
| ~ m1_group_2(sK6(sK0),sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5904,c_5291]) ).
tcf(c_5920,plain,
k9_group_2(sK0,sK2,sK6(sK0)) = k8_group_2(sK0,sK6(sK0),sK2),
inference(light_normalisation,[status(thm)],[c_5835,c_5832]) ).
tcf(c_5923,plain,
k9_group_2(sK0,sK1,sK6(sK0)) = k8_group_2(sK0,sK6(sK0),sK1),
inference(light_normalisation,[status(thm)],[c_5836,c_5833]) ).
tcf(c_5926,plain,
k9_group_2(sK0,iPr_def_28,sK6(sK0)) = k8_group_2(sK0,sK6(sK0),iPr_def_28),
inference(light_normalisation,[status(thm)],[c_5837,c_5834]) ).
tcf(c_5929,plain,
( m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK0)
| ~ m1_group_2(sK1,sK0)
| ~ m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_5362,c_3836]) ).
tcf(c_5930,plain,
( v1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))))
| ~ m1_group_2(sK1,sK0)
| ~ m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_5362,c_3835]) ).
tcf(c_5931,plain,
v1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_5930,c_3845,c_5351]) ).
tcf(c_5932,plain,
m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_5929,c_3845,c_5351]) ).
tcf(c_5939,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( m1_subset_1(X3,k2_zfmisc_1(X1,X2))
| ~ r2_hidden(X3,X0)
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_83,c_125]) ).
tcf(c_5940,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK8(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_91,c_125]) ).
tcf(c_5941,plain,
! [X0: $i,X1: $i] :
( v1_xboole_0(X1)
| m1_subset_1(X0,X1)
| ~ r2_hidden(X0,sK11(X1)) ),
inference(superposition,[status(thm)],[c_104,c_125]) ).
tcf(c_5943,plain,
! [X0: $i] :
( m1_subset_1(X0,u1_struct_0(sK16))
| ~ r2_hidden(X0,sK17(sK16)) ),
inference(superposition,[status(thm)],[c_1375,c_125]) ).
tcf(c_5944,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,X1)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_5447,c_125]) ).
tcf(c_5945,plain,
! [X0: $i,X1: $i] :
( m1_subset_1(X0,iPr_def_14)
| ~ m1_subset_1(X1,iPr_def_15)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_3786,c_125]) ).
tcf(c_5983,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ~ r2_hidden(X3,X0)
| ~ v1_xboole_0(k2_zfmisc_1(X1,X2))
| ~ m2_relset_1(X0,X1,X2) ),
inference(superposition,[status(thm)],[c_83,c_126]) ).
tcf(c_5984,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,sK8(k1_zfmisc_1(X1))) ),
inference(superposition,[status(thm)],[c_91,c_126]) ).
tcf(c_5988,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(X1)
| ~ r2_hidden(X0,k1_xboole_0) ),
inference(superposition,[status(thm)],[c_5447,c_126]) ).
tcf(c_5989,plain,
! [X0: $i,X1: $i] :
( ~ v1_xboole_0(iPr_def_14)
| ~ m1_subset_1(X1,iPr_def_15)
| ~ r2_hidden(X0,X1) ),
inference(superposition,[status(thm)],[c_3786,c_126]) ).
tcf(c_6022,plain,
( m2_relset_1(u1_group_1(sK0),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14)
| ~ l1_group_1(sK0) ),
inference(superposition,[status(thm)],[c_3785,c_86]) ).
tcf(c_6023,plain,
( m2_relset_1(u1_group_1(iPr_def_17),k2_zfmisc_1(iPr_def_19,iPr_def_19),iPr_def_19)
| ~ l1_group_1(iPr_def_17) ),
inference(superposition,[status(thm)],[c_3790,c_86]) ).
tcf(c_6024,plain,
( m2_relset_1(u1_group_1(sK2),k2_zfmisc_1(iPr_def_26,iPr_def_26),iPr_def_26)
| ~ l1_group_1(sK2) ),
inference(superposition,[status(thm)],[c_5215,c_86]) ).
tcf(c_6025,plain,
( m2_relset_1(u1_group_1(sK1),k2_zfmisc_1(iPr_def_25,iPr_def_25),iPr_def_25)
| ~ l1_group_1(sK1) ),
inference(superposition,[status(thm)],[c_5213,c_86]) ).
tcf(c_6026,plain,
( m2_relset_1(u1_group_1(iPr_def_28),k2_zfmisc_1(iPr_def_29,iPr_def_29),iPr_def_29)
| ~ l1_group_1(iPr_def_28) ),
inference(superposition,[status(thm)],[c_5297,c_86]) ).
tcf(c_6035,plain,
m2_relset_1(u1_group_1(sK0),k2_zfmisc_1(iPr_def_14,iPr_def_14),iPr_def_14),
inference(forward_subsumption_resolution,[status(thm)],[c_6022,c_3842]) ).
tcf(c_6050,plain,
( ( g1_group_1(u1_struct_0(sK2),u1_group_1(sK2)) = sK2 )
| ~ l1_group_1(sK2) ),
inference(superposition,[status(thm)],[c_3848,c_58]) ).
tcf(c_6051,plain,
( ( g1_group_1(u1_struct_0(sK1),u1_group_1(sK1)) = sK1 )
| ~ l1_group_1(sK1) ),
inference(superposition,[status(thm)],[c_3846,c_58]) ).
tcf(c_6052,plain,
! [X0: $i,X1: $i] :
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,X0,X1)),u1_group_1(k9_group_2(sK0,X0,X1))) = k9_group_2(sK0,X0,X1) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ l1_group_1(k9_group_2(sK0,X0,X1)) ),
inference(superposition,[status(thm)],[c_3835,c_58]) ).
tcf(c_6053,plain,
! [X0: $i,X1: $i] :
( ( g1_group_1(u1_struct_0(k8_group_2(sK0,X0,X1)),u1_group_1(k8_group_2(sK0,X0,X1))) = k8_group_2(sK0,X0,X1) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ l1_group_1(k8_group_2(sK0,X0,X1)) ),
inference(superposition,[status(thm)],[c_3833,c_58]) ).
tcf(c_6054,plain,
( ( g1_group_1(u1_struct_0(iPr_def_28),u1_group_1(iPr_def_28)) = iPr_def_28 )
| ~ l1_group_1(iPr_def_28) ),
inference(superposition,[status(thm)],[c_5290,c_58]) ).
tcf(c_6055,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,iPr_def_28,sK1)),u1_group_1(k9_group_2(sK0,iPr_def_28,sK1))) = k9_group_2(sK0,iPr_def_28,sK1) )
| ~ l1_group_1(k9_group_2(sK0,iPr_def_28,sK1)) ),
inference(superposition,[status(thm)],[c_5303,c_58]) ).
tcf(c_6056,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,iPr_def_28,sK2)),u1_group_1(k9_group_2(sK0,iPr_def_28,sK2))) = k9_group_2(sK0,iPr_def_28,sK2) )
| ~ l1_group_1(k9_group_2(sK0,iPr_def_28,sK2)) ),
inference(superposition,[status(thm)],[c_5319,c_58]) ).
tcf(c_6057,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),u1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) = k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)) )
| ~ l1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) ),
inference(superposition,[status(thm)],[c_5350,c_58]) ).
tcf(c_6058,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),u1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)))) = k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)) )
| ~ l1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) ),
inference(superposition,[status(thm)],[c_5371,c_58]) ).
tcf(c_6059,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),u1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)))) = k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)) )
| ~ l1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) ),
inference(superposition,[status(thm)],[c_5384,c_58]) ).
tcf(c_6060,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),u1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)))) = k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)) )
| ~ l1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) ),
inference(superposition,[status(thm)],[c_5400,c_58]) ).
tcf(c_6061,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),u1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)))) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)) )
| ~ l1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) ),
inference(superposition,[status(thm)],[c_5413,c_58]) ).
tcf(c_6062,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),u1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)))) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)) )
| ~ l1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) ),
inference(superposition,[status(thm)],[c_5426,c_58]) ).
tcf(c_6063,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,sK2,sK2)),u1_group_1(k9_group_2(sK0,sK2,sK2))) = k9_group_2(sK0,sK2,sK2) )
| ~ l1_group_1(k9_group_2(sK0,sK2,sK2)) ),
inference(superposition,[status(thm)],[c_5560,c_58]) ).
tcf(c_6064,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,sK1,sK1)),u1_group_1(k9_group_2(sK0,sK1,sK1))) = k9_group_2(sK0,sK1,sK1) )
| ~ l1_group_1(k9_group_2(sK0,sK1,sK1)) ),
inference(superposition,[status(thm)],[c_5626,c_58]) ).
tcf(c_6065,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,sK2,sK6(sK0))),u1_group_1(k9_group_2(sK0,sK2,sK6(sK0)))) = k9_group_2(sK0,sK2,sK6(sK0)) )
| ~ l1_group_1(k9_group_2(sK0,sK2,sK6(sK0))) ),
inference(superposition,[status(thm)],[c_5886,c_58]) ).
tcf(c_6066,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,sK1,sK6(sK0))),u1_group_1(k9_group_2(sK0,sK1,sK6(sK0)))) = k9_group_2(sK0,sK1,sK6(sK0)) )
| ~ l1_group_1(k9_group_2(sK0,sK1,sK6(sK0))) ),
inference(superposition,[status(thm)],[c_5902,c_58]) ).
tcf(c_6067,plain,
( ( g1_group_1(iPr_def_29,u1_group_1(iPr_def_28)) = iPr_def_28 )
| ~ l1_group_1(iPr_def_28) ),
inference(light_normalisation,[status(thm)],[c_6054,c_5297]) ).
tcf(c_6070,plain,
( ( g1_group_1(iPr_def_25,u1_group_1(sK1)) = sK1 )
| ~ l1_group_1(sK1) ),
inference(light_normalisation,[status(thm)],[c_6051,c_5213]) ).
tcf(c_6073,plain,
( ( g1_group_1(iPr_def_26,u1_group_1(sK2)) = sK2 )
| ~ l1_group_1(sK2) ),
inference(light_normalisation,[status(thm)],[c_6050,c_5215]) ).
tcf(c_6133,plain,
( ( g1_group_1(u1_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),u1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))))) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) )
| ~ l1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) ),
inference(superposition,[status(thm)],[c_5931,c_58]) ).
tcf(c_6136,plain,
m1_group_2(k9_group_2(sK0,sK2,sK6(sK0)),sK0),
inference(global_subsumption_just,[status(thm)],[c_5881,c_57,c_55,c_54,c_163,c_5881]) ).
tcf(c_6138,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,sK2,sK6(sK0))) = k8_group_2(sK0,X0,k9_group_2(sK0,sK2,sK6(sK0))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_6136,c_3837]) ).
tcf(c_6139,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,sK2,sK6(sK0))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_6136,c_3832]) ).
tcf(c_6140,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),iPr_def_28),
inference(superposition,[status(thm)],[c_6136,c_5472]) ).
tcf(c_6141,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK1) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK1),
inference(superposition,[status(thm)],[c_6136,c_5469]) ).
tcf(c_6142,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK2) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK2),
inference(superposition,[status(thm)],[c_6136,c_5468]) ).
tcf(c_6143,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK2,sK6(sK0))),
inference(superposition,[status(thm)],[c_6136,c_5292]) ).
tcf(c_6144,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK2,sK6(sK0))),
inference(superposition,[status(thm)],[c_6136,c_5236]) ).
tcf(c_6145,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,sK2,sK6(sK0))),
inference(superposition,[status(thm)],[c_6136,c_5235]) ).
tcf(c_6146,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,sK2,sK6(sK0))) = u1_struct_0(k9_group_2(sK0,sK2,sK6(sK0))) )
| ~ v1_group_1(k9_group_2(sK0,sK2,sK6(sK0))) ),
inference(superposition,[status(thm)],[c_6136,c_3839]) ).
tcf(c_6147,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,sK2,sK6(sK0))) = u1_struct_0(k9_group_2(sK0,sK2,sK6(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_6146,c_5886]) ).
tcf(c_6171,plain,
m1_group_2(k9_group_2(sK0,sK1,sK6(sK0)),sK0),
inference(global_subsumption_just,[status(thm)],[c_5899,c_57,c_55,c_54,c_163,c_5899]) ).
tcf(c_6173,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,sK1,sK6(sK0))) = k8_group_2(sK0,X0,k9_group_2(sK0,sK1,sK6(sK0))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_6171,c_3837]) ).
tcf(c_6174,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,sK1,sK6(sK0))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_6171,c_3832]) ).
tcf(c_6175,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),iPr_def_28),
inference(superposition,[status(thm)],[c_6171,c_5472]) ).
tcf(c_6176,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK1) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK1),
inference(superposition,[status(thm)],[c_6171,c_5469]) ).
tcf(c_6177,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK2) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK2),
inference(superposition,[status(thm)],[c_6171,c_5468]) ).
tcf(c_6178,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,sK6(sK0))),
inference(superposition,[status(thm)],[c_6171,c_5292]) ).
tcf(c_6179,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,sK6(sK0))),
inference(superposition,[status(thm)],[c_6171,c_5236]) ).
tcf(c_6180,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,sK6(sK0))),
inference(superposition,[status(thm)],[c_6171,c_5235]) ).
tcf(c_6181,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,sK6(sK0))) = u1_struct_0(k9_group_2(sK0,sK1,sK6(sK0))) )
| ~ v1_group_1(k9_group_2(sK0,sK1,sK6(sK0))) ),
inference(superposition,[status(thm)],[c_6171,c_3839]) ).
tcf(c_6182,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,sK6(sK0))) = u1_struct_0(k9_group_2(sK0,sK1,sK6(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_6181,c_5902]) ).
tcf(c_6196,plain,
! [X0: $i] :
( ( k9_group_2(sK0,X0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) = k8_group_2(sK0,X0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5932,c_3837]) ).
tcf(c_6197,plain,
! [X0: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),X0) = k9_group_2(sK0,X0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) )
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_5932,c_3832]) ).
tcf(c_6198,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),iPr_def_28) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),iPr_def_28),
inference(superposition,[status(thm)],[c_5932,c_5472]) ).
tcf(c_6199,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK1) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK1),
inference(superposition,[status(thm)],[c_5932,c_5469]) ).
tcf(c_6200,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK2) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK2),
inference(superposition,[status(thm)],[c_5932,c_5468]) ).
tcf(c_6201,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),iPr_def_28) = k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(superposition,[status(thm)],[c_5932,c_5292]) ).
tcf(c_6202,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK1) = k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(superposition,[status(thm)],[c_5932,c_5236]) ).
tcf(c_6203,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK2) = k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(superposition,[status(thm)],[c_5932,c_5235]) ).
tcf(c_6204,plain,
( ( k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) = u1_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) )
| ~ v1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) ),
inference(superposition,[status(thm)],[c_5932,c_3839]) ).
tcf(c_6209,plain,
k1_funct_1(iPr_def_12,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) = u1_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_6204,c_5931]) ).
tcf(c_6232,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,X0,X1),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_5841]) ).
tcf(c_6233,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k8_group_2(sK0,X0,X1),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k8_group_2(sK0,X0,X1)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_5841]) ).
tcf(c_6235,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,iPr_def_28,sK1)),
inference(superposition,[status(thm)],[c_5304,c_5841]) ).
tcf(c_6236,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,iPr_def_28,sK2)),
inference(superposition,[status(thm)],[c_5320,c_5841]) ).
tcf(c_6237,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5351,c_5841]) ).
tcf(c_6238,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5372,c_5841]) ).
tcf(c_6239,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5385,c_5841]) ).
tcf(c_6240,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5401,c_5841]) ).
tcf(c_6241,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),
inference(superposition,[status(thm)],[c_5414,c_5841]) ).
tcf(c_6242,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),
inference(superposition,[status(thm)],[c_5427,c_5841]) ).
tcf(c_6243,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK2,sK2)),
inference(superposition,[status(thm)],[c_5561,c_5841]) ).
tcf(c_6244,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,sK1)),
inference(superposition,[status(thm)],[c_5627,c_5841]) ).
tcf(c_6245,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK2,sK6(sK0))),
inference(superposition,[status(thm)],[c_6136,c_5841]) ).
tcf(c_6246,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,sK6(sK0))),
inference(superposition,[status(thm)],[c_6171,c_5841]) ).
tcf(c_6247,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK6(sK0)) = k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(superposition,[status(thm)],[c_5932,c_5841]) ).
tcf(c_6280,plain,
k9_group_2(sK0,sK2,sK6(sK0)) = k8_group_2(sK0,sK2,sK6(sK0)),
inference(superposition,[status(thm)],[c_3847,c_5844]) ).
tcf(c_6281,plain,
k9_group_2(sK0,sK1,sK6(sK0)) = k8_group_2(sK0,sK1,sK6(sK0)),
inference(superposition,[status(thm)],[c_3845,c_5844]) ).
tcf(c_6282,plain,
( v3_struct_0(sK0)
| ( k9_group_2(sK0,sK6(sK0),sK6(sK0)) = k8_group_2(sK0,sK6(sK0),sK6(sK0)) )
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_89,c_5844]) ).
tcf(c_6283,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k9_group_2(sK0,X0,X1),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,X0,X1),sK6(sK0)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_5844]) ).
tcf(c_6284,plain,
! [X0: $i,X1: $i] :
( ( k9_group_2(sK0,k8_group_2(sK0,X0,X1),sK6(sK0)) = k8_group_2(sK0,k8_group_2(sK0,X0,X1),sK6(sK0)) )
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_5844]) ).
tcf(c_6285,plain,
k9_group_2(sK0,iPr_def_28,sK6(sK0)) = k8_group_2(sK0,iPr_def_28,sK6(sK0)),
inference(superposition,[status(thm)],[c_5291,c_5844]) ).
tcf(c_6286,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK6(sK0)),
inference(superposition,[status(thm)],[c_5304,c_5844]) ).
tcf(c_6287,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK6(sK0)),
inference(superposition,[status(thm)],[c_5320,c_5844]) ).
tcf(c_6288,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)),
inference(superposition,[status(thm)],[c_5351,c_5844]) ).
tcf(c_6289,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)),
inference(superposition,[status(thm)],[c_5372,c_5844]) ).
tcf(c_6290,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)),
inference(superposition,[status(thm)],[c_5385,c_5844]) ).
tcf(c_6291,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)),
inference(superposition,[status(thm)],[c_5401,c_5844]) ).
tcf(c_6292,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)),
inference(superposition,[status(thm)],[c_5414,c_5844]) ).
tcf(c_6293,plain,
k9_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)),
inference(superposition,[status(thm)],[c_5427,c_5844]) ).
tcf(c_6294,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK6(sK0)),
inference(superposition,[status(thm)],[c_5561,c_5844]) ).
tcf(c_6295,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK6(sK0)),
inference(superposition,[status(thm)],[c_5627,c_5844]) ).
tcf(c_6296,plain,
k9_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK6(sK0)),
inference(superposition,[status(thm)],[c_6136,c_5844]) ).
tcf(c_6297,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK6(sK0)),
inference(superposition,[status(thm)],[c_6171,c_5844]) ).
tcf(c_6298,plain,
k9_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK6(sK0)) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK6(sK0)),
inference(superposition,[status(thm)],[c_5932,c_5844]) ).
tcf(c_6299,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,sK1)) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK1),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6295,c_6244]) ).
tcf(c_6300,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK2,sK2)) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK2),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6294,c_6243]) ).
tcf(c_6301,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,iPr_def_28,sK2)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK2),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6287,c_6236]) ).
tcf(c_6302,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,iPr_def_28,sK1)) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,sK1),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6286,c_6235]) ).
tcf(c_6303,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,sK6(sK0))) = k8_group_2(sK0,k9_group_2(sK0,sK1,sK6(sK0)),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6297,c_6246]) ).
tcf(c_6304,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK2,sK6(sK0))) = k8_group_2(sK0,k9_group_2(sK0,sK2,sK6(sK0)),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6296,c_6245]) ).
tcf(c_6305,plain,
k9_group_2(sK0,sK6(sK0),sK6(sK0)) = k8_group_2(sK0,sK6(sK0),sK6(sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_6282,c_3844,c_3842,c_3843]) ).
tcf(c_6306,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6293,c_6242]) ).
tcf(c_6307,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6292,c_6241]) ).
tcf(c_6308,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6291,c_6240]) ).
tcf(c_6309,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6290,c_6239]) ).
tcf(c_6310,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6289,c_6238]) ).
tcf(c_6311,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6288,c_6237]) ).
tcf(c_6318,plain,
k9_group_2(sK0,sK6(sK0),k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) = k8_group_2(sK0,k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK6(sK0)),
inference(light_normalisation,[status(thm)],[c_6298,c_6247]) ).
tcf(c_6354,plain,
( m1_group_2(k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK0)
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_5363,c_3836]) ).
tcf(c_6355,plain,
( v1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))))
| ~ m1_group_2(sK2,sK0)
| ~ m1_group_2(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)),sK0) ),
inference(superposition,[status(thm)],[c_5363,c_3835]) ).
tcf(c_6356,plain,
v1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_6355,c_3847,c_5351]) ).
tcf(c_6357,plain,
m1_group_2(k9_group_2(sK0,sK2,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),sK0),
inference(forward_subsumption_resolution,[status(thm)],[c_6354,c_3847,c_5351]) ).
tcf(c_6368,plain,
( v3_group_1(sK2)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_3847,c_81]) ).
tcf(c_6369,plain,
( v3_group_1(sK1)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_3845,c_81]) ).
tcf(c_6370,plain,
! [X0: $i] :
( v3_struct_0(X0)
| v3_group_1(sK6(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(superposition,[status(thm)],[c_89,c_81]) ).
tcf(c_6371,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,X0,X1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_81]) ).
tcf(c_6372,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| v3_group_1(k8_group_2(sK0,X0,X1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_81]) ).
tcf(c_6373,plain,
( v3_group_1(iPr_def_28)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5291,c_81]) ).
tcf(c_6374,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,iPr_def_28,sK1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5304,c_81]) ).
tcf(c_6375,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,iPr_def_28,sK2))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5320,c_81]) ).
tcf(c_6376,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5351,c_81]) ).
tcf(c_6377,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5372,c_81]) ).
tcf(c_6378,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5385,c_81]) ).
tcf(c_6379,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5401,c_81]) ).
tcf(c_6380,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5414,c_81]) ).
tcf(c_6381,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5427,c_81]) ).
tcf(c_6382,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,sK2,sK2))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5561,c_81]) ).
tcf(c_6383,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,sK1,sK1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5627,c_81]) ).
tcf(c_6384,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,sK2,sK6(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_6136,c_81]) ).
tcf(c_6385,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,sK1,sK6(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_6171,c_81]) ).
tcf(c_6386,plain,
( v3_struct_0(sK0)
| v3_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5932,c_81]) ).
tcf(c_6387,plain,
v3_group_1(iPr_def_28),
inference(forward_subsumption_resolution,[status(thm)],[c_6373,c_3844,c_3842,c_3843]) ).
tcf(c_6388,plain,
v3_group_1(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_6369,c_3844,c_3842,c_3843]) ).
tcf(c_6389,plain,
v3_group_1(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_6368,c_3844,c_3842,c_3843]) ).
tcf(c_6394,plain,
v3_group_1(k9_group_2(sK0,sK1,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_6383,c_3844,c_3842,c_3843]) ).
tcf(c_6395,plain,
v3_group_1(k9_group_2(sK0,sK2,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_6382,c_3844,c_3842,c_3843]) ).
tcf(c_6396,plain,
v3_group_1(k9_group_2(sK0,iPr_def_28,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_6375,c_3844,c_3842,c_3843]) ).
tcf(c_6397,plain,
v3_group_1(k9_group_2(sK0,iPr_def_28,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_6374,c_3844,c_3842,c_3843]) ).
tcf(c_6398,plain,
v3_group_1(k9_group_2(sK0,sK1,sK6(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_6385,c_3844,c_3842,c_3843]) ).
tcf(c_6399,plain,
v3_group_1(k9_group_2(sK0,sK2,sK6(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_6384,c_3844,c_3842,c_3843]) ).
tcf(c_6400,plain,
v3_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_6381,c_3844,c_3842,c_3843]) ).
tcf(c_6401,plain,
v3_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_6380,c_3844,c_3842,c_3843]) ).
tcf(c_6402,plain,
v3_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_6379,c_3844,c_3842,c_3843]) ).
tcf(c_6403,plain,
v3_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_6378,c_3844,c_3842,c_3843]) ).
tcf(c_6404,plain,
v3_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_6377,c_3844,c_3842,c_3843]) ).
tcf(c_6405,plain,
v3_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_6376,c_3844,c_3842,c_3843]) ).
tcf(c_6406,plain,
v3_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_6386,c_3844,c_3842,c_3843]) ).
tcf(c_6407,plain,
! [X0: $i,X1: $i] :
( v3_group_1(k8_group_2(sK0,X0,X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6372,c_3844,c_3842,c_3843]) ).
tcf(c_6411,plain,
! [X0: $i,X1: $i] :
( v3_group_1(k9_group_2(sK0,X0,X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6371,c_3844,c_3842,c_3843]) ).
tcf(c_6445,plain,
( l1_group_1(sK2)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_3847,c_82]) ).
tcf(c_6446,plain,
( l1_group_1(sK1)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_3845,c_82]) ).
tcf(c_6447,plain,
! [X0: $i] :
( v3_struct_0(X0)
| l1_group_1(sK6(X0))
| ~ l1_group_1(X0)
| ~ v3_group_1(X0) ),
inference(superposition,[status(thm)],[c_89,c_82]) ).
tcf(c_6448,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,X0,X1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3836,c_82]) ).
tcf(c_6449,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| l1_group_1(k8_group_2(sK0,X0,X1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(superposition,[status(thm)],[c_3834,c_82]) ).
tcf(c_6450,plain,
( l1_group_1(iPr_def_28)
| v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5291,c_82]) ).
tcf(c_6451,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,iPr_def_28,sK1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5304,c_82]) ).
tcf(c_6452,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,iPr_def_28,sK2))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5320,c_82]) ).
tcf(c_6453,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5351,c_82]) ).
tcf(c_6454,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5372,c_82]) ).
tcf(c_6455,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5385,c_82]) ).
tcf(c_6456,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5401,c_82]) ).
tcf(c_6457,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5414,c_82]) ).
tcf(c_6458,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5427,c_82]) ).
tcf(c_6459,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,sK2,sK2))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5561,c_82]) ).
tcf(c_6460,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,sK1,sK1))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5627,c_82]) ).
tcf(c_6461,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,sK2,sK6(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_6136,c_82]) ).
tcf(c_6462,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,sK1,sK6(sK0)))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_6171,c_82]) ).
tcf(c_6463,plain,
( v3_struct_0(sK0)
| l1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))))
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0) ),
inference(superposition,[status(thm)],[c_5932,c_82]) ).
tcf(c_6464,plain,
l1_group_1(iPr_def_28),
inference(forward_subsumption_resolution,[status(thm)],[c_6450,c_3844,c_3842,c_3843]) ).
tcf(c_6465,plain,
l1_group_1(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_6446,c_3844,c_3842,c_3843]) ).
tcf(c_6466,plain,
l1_group_1(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_6445,c_3844,c_3842,c_3843]) ).
tcf(c_6471,plain,
l1_group_1(k9_group_2(sK0,sK1,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_6460,c_3844,c_3842,c_3843]) ).
tcf(c_6472,plain,
l1_group_1(k9_group_2(sK0,sK2,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_6459,c_3844,c_3842,c_3843]) ).
tcf(c_6473,plain,
l1_group_1(k9_group_2(sK0,iPr_def_28,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_6452,c_3844,c_3842,c_3843]) ).
tcf(c_6474,plain,
l1_group_1(k9_group_2(sK0,iPr_def_28,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_6451,c_3844,c_3842,c_3843]) ).
tcf(c_6475,plain,
l1_group_1(k9_group_2(sK0,sK1,sK6(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_6462,c_3844,c_3842,c_3843]) ).
tcf(c_6476,plain,
l1_group_1(k9_group_2(sK0,sK2,sK6(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_6461,c_3844,c_3842,c_3843]) ).
tcf(c_6477,plain,
l1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_6458,c_3844,c_3842,c_3843]) ).
tcf(c_6478,plain,
l1_group_1(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_6457,c_3844,c_3842,c_3843]) ).
tcf(c_6479,plain,
l1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_6456,c_3844,c_3842,c_3843]) ).
tcf(c_6480,plain,
l1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_6455,c_3844,c_3842,c_3843]) ).
tcf(c_6481,plain,
l1_group_1(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_6454,c_3844,c_3842,c_3843]) ).
tcf(c_6482,plain,
l1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_6453,c_3844,c_3842,c_3843]) ).
tcf(c_6483,plain,
l1_group_1(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_6463,c_3844,c_3842,c_3843]) ).
tcf(c_6484,plain,
! [X0: $i,X1: $i] :
( l1_group_1(k8_group_2(sK0,X0,X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6449,c_3844,c_3842,c_3843]) ).
tcf(c_6488,plain,
! [X0: $i,X1: $i] :
( l1_group_1(k9_group_2(sK0,X0,X1))
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6448,c_3844,c_3842,c_3843]) ).
tcf(c_6525,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(sK2) ),
inference(superposition,[status(thm)],[c_3847,c_80]) ).
tcf(c_6526,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(sK1) ),
inference(superposition,[status(thm)],[c_3845,c_80]) ).
tcf(c_6527,plain,
! [X0: $i] :
( v3_struct_0(X0)
| ~ l1_group_1(X0)
| ~ v3_group_1(X0)
| ~ v3_struct_0(sK6(X0)) ),
inference(superposition,[status(thm)],[c_89,c_80]) ).
tcf(c_6528,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ v3_struct_0(k9_group_2(sK0,X0,X1)) ),
inference(superposition,[status(thm)],[c_3836,c_80]) ).
tcf(c_6529,plain,
! [X0: $i,X1: $i] :
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ v3_struct_0(k8_group_2(sK0,X0,X1)) ),
inference(superposition,[status(thm)],[c_3834,c_80]) ).
tcf(c_6530,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(iPr_def_28) ),
inference(superposition,[status(thm)],[c_5291,c_80]) ).
tcf(c_6531,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,iPr_def_28,sK1)) ),
inference(superposition,[status(thm)],[c_5304,c_80]) ).
tcf(c_6532,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,iPr_def_28,sK2)) ),
inference(superposition,[status(thm)],[c_5320,c_80]) ).
tcf(c_6533,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))) ),
inference(superposition,[status(thm)],[c_5351,c_80]) ).
tcf(c_6534,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))) ),
inference(superposition,[status(thm)],[c_5372,c_80]) ).
tcf(c_6535,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))) ),
inference(superposition,[status(thm)],[c_5385,c_80]) ).
tcf(c_6536,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))) ),
inference(superposition,[status(thm)],[c_5401,c_80]) ).
tcf(c_6537,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))) ),
inference(superposition,[status(thm)],[c_5414,c_80]) ).
tcf(c_6538,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))) ),
inference(superposition,[status(thm)],[c_5427,c_80]) ).
tcf(c_6539,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,sK2,sK2)) ),
inference(superposition,[status(thm)],[c_5561,c_80]) ).
tcf(c_6540,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,sK1,sK1)) ),
inference(superposition,[status(thm)],[c_5627,c_80]) ).
tcf(c_6541,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,sK2,sK6(sK0))) ),
inference(superposition,[status(thm)],[c_6136,c_80]) ).
tcf(c_6542,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,sK1,sK6(sK0))) ),
inference(superposition,[status(thm)],[c_6171,c_80]) ).
tcf(c_6543,plain,
( v3_struct_0(sK0)
| ~ l1_group_1(sK0)
| ~ v3_group_1(sK0)
| ~ v3_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))) ),
inference(superposition,[status(thm)],[c_5932,c_80]) ).
tcf(c_6544,plain,
~ v3_struct_0(iPr_def_28),
inference(forward_subsumption_resolution,[status(thm)],[c_6530,c_3844,c_3842,c_3843]) ).
tcf(c_6545,plain,
~ v3_struct_0(sK1),
inference(forward_subsumption_resolution,[status(thm)],[c_6526,c_3844,c_3842,c_3843]) ).
tcf(c_6546,plain,
~ v3_struct_0(sK2),
inference(forward_subsumption_resolution,[status(thm)],[c_6525,c_3844,c_3842,c_3843]) ).
tcf(c_6551,plain,
~ v3_struct_0(k9_group_2(sK0,sK1,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_6540,c_3844,c_3842,c_3843]) ).
tcf(c_6552,plain,
~ v3_struct_0(k9_group_2(sK0,sK2,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_6539,c_3844,c_3842,c_3843]) ).
tcf(c_6553,plain,
~ v3_struct_0(k9_group_2(sK0,iPr_def_28,sK2)),
inference(forward_subsumption_resolution,[status(thm)],[c_6532,c_3844,c_3842,c_3843]) ).
tcf(c_6554,plain,
~ v3_struct_0(k9_group_2(sK0,iPr_def_28,sK1)),
inference(forward_subsumption_resolution,[status(thm)],[c_6531,c_3844,c_3842,c_3843]) ).
tcf(c_6555,plain,
~ v3_struct_0(k9_group_2(sK0,sK1,sK6(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_6542,c_3844,c_3842,c_3843]) ).
tcf(c_6556,plain,
~ v3_struct_0(k9_group_2(sK0,sK2,sK6(sK0))),
inference(forward_subsumption_resolution,[status(thm)],[c_6541,c_3844,c_3842,c_3843]) ).
tcf(c_6557,plain,
~ v3_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_6538,c_3844,c_3842,c_3843]) ).
tcf(c_6558,plain,
~ v3_struct_0(k9_group_2(sK0,iPr_def_28,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_6537,c_3844,c_3842,c_3843]) ).
tcf(c_6559,plain,
~ v3_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_6536,c_3844,c_3842,c_3843]) ).
tcf(c_6560,plain,
~ v3_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK2))),
inference(forward_subsumption_resolution,[status(thm)],[c_6535,c_3844,c_3842,c_3843]) ).
tcf(c_6561,plain,
~ v3_struct_0(k9_group_2(sK0,sK2,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_6534,c_3844,c_3842,c_3843]) ).
tcf(c_6562,plain,
~ v3_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1))),
inference(forward_subsumption_resolution,[status(thm)],[c_6533,c_3844,c_3842,c_3843]) ).
tcf(c_6563,plain,
~ v3_struct_0(k9_group_2(sK0,sK1,k9_group_2(sK0,sK1,k9_group_2(sK0,iPr_def_28,sK1)))),
inference(forward_subsumption_resolution,[status(thm)],[c_6543,c_3844,c_3842,c_3843]) ).
tcf(c_6564,plain,
! [X0: $i,X1: $i] :
( ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ v3_struct_0(k8_group_2(sK0,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6529,c_3844,c_3842,c_3843]) ).
tcf(c_6568,plain,
! [X0: $i,X1: $i] :
( ~ m1_group_2(X1,sK0)
| ~ m1_group_2(X0,sK0)
| ~ v3_struct_0(k9_group_2(sK0,X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6528,c_3844,c_3842,c_3843]) ).
tcf(c_6648,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_6568,c_6564,c_6563,c_6562,c_6561,c_6560,c_6559,c_6558,c_6557,c_6556,c_6555,c_6554,c_6553,c_6552,c_6551,c_6546,c_6545,c_6544,c_6543,c_6542,c_6541,c_6540,c_6539,c_6538,c_6537,c_6536,c_6535,c_6534,c_6533,c_6532,c_6531,c_6530,c_6529,c_6528,c_6527,c_6526,c_6525,c_6488,c_6484,c_6483,c_6482,c_6481,c_6480,c_6479,c_6478,c_6477,c_6476,c_6475,c_6474,c_6473,c_6472,c_6471,c_6466,c_6465,c_6464,c_6463,c_6462,c_6461,c_6460,c_6459,c_6458,c_6457,c_6456,c_6455,c_6454,c_6453,c_6452,c_6451,c_6450,c_6449,c_6448,c_6447,c_6446,c_6445,c_6411,c_6407,c_6406,c_6405,c_6404,c_6403,c_6402,c_6401,c_6400,c_6399,c_6398,c_6397,c_6396,c_6395,c_6394,c_6389,c_6388,c_6387,c_6386,c_6385,c_6384,c_6383,c_6382,c_6381,c_6380,c_6379,c_6378,c_6377,c_6376,c_6375,c_6374,c_6373,c_6372,c_6371,c_6370,c_6369,c_6368,c_6357,c_6356,c_6355,c_6354,c_6318,c_6311,c_6310,c_6309,c_6308,c_6307,c_6306,c_6305,c_6304,c_6303,c_6302,c_6301,c_6300,c_6299,c_6298,c_6297,c_6296,c_6295,c_6294,c_6293,c_6292,c_6291,c_6290,c_6289,c_6288,c_6287,c_6286,c_6285,c_6284,c_6283,c_6282,c_6281,c_6280,c_6247,c_6246,c_6245,c_6244,c_6243,c_6242,c_6241,c_6240,c_6239,c_6238,c_6237,c_6236,c_6235,c_6233,c_6232,c_6209,c_6204,c_6203,c_6202,c_6201,c_6200,c_6199,c_6198,c_6197,c_6196,c_6182,c_6181,c_6180,c_6179,c_6178,c_6177,c_6176,c_6175,c_6174,c_6173,c_6171,c_6147,c_6146,c_6145,c_6144,c_6143,c_6142,c_6141,c_6140,c_6139,c_6138,c_6136,c_6133,c_6073,c_6070,c_6067,c_6066,c_6065,c_6064,c_6063,c_6062,c_6061,c_6060,c_6059,c_6058,c_6057,c_6056,c_6055,c_6054,c_6053,c_6052,c_6051,c_6050,c_6035,c_6026,c_6025,c_6024,c_6023,c_6022,c_5989,c_5988,c_5984,c_5983,c_5945,c_5944,c_5943,c_5941,c_5940,c_5939,c_5932,c_5931,c_5930,c_5929,c_5926,c_5923,c_5920,c_5909,c_5906,c_5905,c_5904,c_5902,c_5899,c_5896,c_5895,c_5894,c_5886,c_5881,c_5878,c_5877,c_5876,c_5872,c_5867,c_5863,c_5860,c_5844,c_5841,c_5838,c_5837,c_5836,c_5835,c_5834,c_5833,c_5832,c_5831,c_5830,c_5829,c_5828,c_5827,c_5826,c_5825,c_5824,c_5823,c_5804,c_5801,c_5800,c_5774,c_5773,c_5772,c_5771,c_5768,c_5767,c_5766,c_5765,c_5764,c_5763,c_5762,c_5761,c_5760,c_5753,c_5752,c_5751,c_5750,c_5722,c_5721,c_5720,c_5719,c_5718,c_5717,c_5716,c_5715,c_5714,c_5713,c_5712,c_5711,c_5710,c_5709,c_5708,c_5707,c_5706,c_5705,c_5704,c_5703,c_5702,c_5701,c_5700,c_5699,c_5698,c_5697,c_5696,c_5666,c_5665,c_5664,c_5663,c_5662,c_5661,c_5660,c_5659,c_5658,c_5657,c_5656,c_5655,c_5644,c_5627,c_5626,c_5625,c_5624,c_5603,c_5602,c_5601,c_5600,c_5599,c_5598,c_5597,c_5596,c_5595,c_5594,c_5593,c_5592,c_5591,c_5590,c_5589,c_5588,c_5587,c_5586,c_5585,c_5584,c_5583,c_5582,c_5581,c_5580,c_5569,c_5568,c_5567,c_5566,c_5565,c_5564,c_5563,c_5562,c_5561,c_5560,c_5559,c_5558,c_5549,c_5548,c_5547,c_5546,c_5545,c_5544,c_5543,c_5542,c_5541,c_5540,c_5539,c_5538,c_5537,c_5536,c_5535,c_5534,c_5533,c_5532,c_5531,c_5530,c_5529,c_5528,c_5480,c_5479,c_5478,c_5477,c_5476,c_5475,c_5474,c_5473,c_5472,c_5471,c_5470,c_5469,c_5468,c_5460,c_5457,c_5456,c_5455,c_5454,c_5453,c_5449,c_5447,c_5445,c_5444,c_5432,c_5427,c_5426,c_5425,c_5424,c_5422,c_5419,c_5418,c_5417,c_5416,c_5415,c_5414,c_5413,c_5412,c_5411,c_5409,c_5406,c_5405,c_5404,c_5403,c_5402,c_5401,c_5400,c_5399,c_5398,c_5397,c_5396,c_5395,c_5393,c_5390,c_5389,c_5388,c_5387,c_5386,c_5385,c_5384,c_5383,c_5382,c_5380,c_5377,c_5376,c_5375,c_5374,c_5373,c_5372,c_5371,c_5370,c_5369,c_5367,c_5364,c_5363,c_5362,c_5361,c_5360,c_5351,c_5350,c_5349,c_5348,c_5339,c_5338,c_5336,c_5335,c_5325,c_5324,c_5323,c_5322,c_5321,c_5320,c_5319,c_5318,c_5317,c_5313,c_5312,c_5311,c_5310,c_5309,c_5304,c_5303,c_5302,c_5301,c_5297,c_5296,c_5295,c_5294,c_5293,c_5292,c_5291,c_5290,c_5289,c_5288,c_5279,c_5278,c_5263,c_5262,c_5261,c_5260,c_5238,c_5237,c_5236,c_5235,c_5228,c_5227,c_5226,c_5215,c_5214,c_5213,c_5212,c_5211,c_5210,c_5209,c_5208,c_5174,c_5173,c_5176,c_5175,c_3849,c_3841,c_3840,c_3839,c_3838,c_3831,c_3830,c_3829,c_3828,c_3827,c_3826,c_3824,c_3822,c_3821,c_3820,c_3818,c_3816,c_3815,c_3814,c_3812,c_3810,c_3809,c_3808,c_3825,c_3806,c_3823,c_3804,c_3803,c_3802,c_3801,c_3800,c_3799,c_3798,c_3797,c_3796,c_3795,c_3794,c_3793,c_3792,c_3791,c_3790,c_3789,c_3788,c_3787,c_3786,c_3785,c_3784,c_3783,c_2351,c_2334,c_3832,c_3833,c_3834,c_3835,c_3836,c_3837,c_2502,c_2495,c_2419,c_2409,c_2735,c_2730,c_2725,c_1382,c_1375,c_1368,c_1359,c_1351,c_1343,c_1331,c_1319,c_1307,c_1298,c_129,c_128,c_127,c_126,c_125,c_123,c_122,c_120,c_113,c_111,c_110,c_109,c_106,c_105,c_104,c_100,c_97,c_96,c_95,c_92,c_91,c_89,c_87,c_86,c_83,c_82,c_81,c_80,c_64,c_59,c_58,c_3842,c_3843,c_3844,c_3845,c_3846,c_3847,c_3848]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP645+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.02 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Wed Sep 23 15:25:45 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.33
% 0.07/0.33 % ======== iProver multi-core TPTP/SMT =========
% 0.07/0.33
% 0.07/0.33 % Detected problem language: tptp
% 0.07/0.34 % Proving...
% 2.70/0.96 % SZS status Started for theBenchmark.p
% 2.70/0.96 % SZS status Theorem for theBenchmark.p
% 2.70/0.96
% 2.70/0.96 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 2.70/0.96
% 2.70/0.96 % ------ iProver source info
% 2.70/0.96
% 2.70/0.96 % git: date: 2026-07-19 20:42:38 +0200
% 2.70/0.96 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 2.70/0.96 % git: non_committed_changes: false
% 2.70/0.96
% 2.70/0.96 % ------ Parsing...
% 2.70/0.96 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 2.70/0.96
% 2.70/0.96 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e %
% 2.70/0.96
% 2.70/0.96 % ------ Preprocessing... gs_s sp: 8 0s gs_e snvd_s sp: 0 0s snvd_e %
% 2.70/0.96
% 2.70/0.96 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 2.70/0.96 % ------ Proving...
% 2.70/0.96 % ------ Problem Properties
% 2.70/0.96
% 2.70/0.96 %
% 2.70/0.96 % clauses 115
% 2.70/0.96 % conjectures 8
% 2.70/0.96 % EPR 44
% 2.70/0.96 % Horn 101
% 2.70/0.96 % unary 51
% 2.70/0.96 % binary 16
% 2.70/0.96 % lits 248
% 2.70/0.96 % lits eq 87
% 2.70/0.96 % fd_pure 0
% 2.70/0.96 % fd_pseudo 0
% 2.70/0.96 % fd_cond 3
% 2.70/0.96 % fd_pseudo_cond 5
% 2.70/0.96 % AC symbols 0
% 2.70/0.96
% 2.70/0.96 % ------ Schedule dynamic 5 is on
% 2.70/0.96
% 2.70/0.96 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.70/0.96
% 2.70/0.96
% 2.70/0.96 % ------
% 2.70/0.96 % Current options:
% 2.70/0.96 % ------
% 2.70/0.96
% 2.70/0.96
% 2.70/0.96 %
% 2.70/0.96
% 2.70/0.96 % ------ Proving...
% 2.70/0.96 %
% 2.70/0.96
% 2.70/0.96 % SZS status Theorem for theBenchmark.p
% 2.70/0.96
% 2.70/0.96 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.70/0.98
% 2.70/0.98
%------------------------------------------------------------------------------